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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 \[\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\left(-\dfrac{113}{8}-8+\dfrac{379}{8}\right)-\left(-\dfrac{39}{2}+\dfrac{39}{2}-\dfrac{21}{4}\right)-\left(-\dfrac{19}{3}+\dfrac{36}{5}-9\right)\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{\dfrac{\dfrac{11}{\dfrac{277}{18}}}{-\dfrac{139}{9}}}{-\dfrac{355}{8}}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{341}{8}\right)\times\left(-3\right)\times\left(-\dfrac{19}{3}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\]
Cliquer ici pour afficher la solution

Exercice


On a \( X=\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\left(-\dfrac{113}{8}-8+\dfrac{379}{8}\right)-\left(-\dfrac{39}{2}+\dfrac{39}{2}-\dfrac{21}{4}\right)-\left(-\dfrac{19}{3}+\dfrac{36}{5}-9\right)\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{\dfrac{\dfrac{11}{\dfrac{277}{18}}}{-\dfrac{139}{9}}}{-\dfrac{355}{8}}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{341}{8}\right)\times\left(-3\right)\times\left(-\dfrac{19}{3}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)=\dfrac{2.7492031993033E+37}{1.807062532661E+35}\) . Voici le détail : \begin{eqnarray*} X &=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\left(-\dfrac{177}{8}+\dfrac{379}{8}\right)-\left(-\dfrac{39}{2}+\dfrac{39}{2}-\dfrac{21}{4}\right)-\left(-\dfrac{19}{3}+\dfrac{36}{5}-9\right)\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{\dfrac{\dfrac{11}{\dfrac{277}{18}}}{-\dfrac{139}{9}}}{-\dfrac{355}{8}}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{341}{8}\right)\times\left(-3\right)\times\left(-\dfrac{19}{3}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}-\left(-\dfrac{39}{2}+\dfrac{39}{2}-\dfrac{21}{4}\right)-\left(-\dfrac{19}{3}+\dfrac{36}{5}-9\right)\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{\dfrac{\dfrac{11}{\dfrac{277}{18}}}{-\dfrac{139}{9}}}{-\dfrac{355}{8}}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{341}{8}\right)\times\left(-3\right)\times\left(-\dfrac{19}{3}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}-\left(0-\dfrac{21}{4}\right)-\left(-\dfrac{19}{3}+\dfrac{36}{5}-9\right)\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{\dfrac{\dfrac{11}{\dfrac{277}{18}}}{-\dfrac{139}{9}}}{-\dfrac{355}{8}}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{341}{8}\right)\times\left(-3\right)\times\left(-\dfrac{19}{3}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}-\left(-\dfrac{19}{3}+\dfrac{36}{5}-9\right)\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{\dfrac{\dfrac{11}{\dfrac{277}{18}}}{-\dfrac{139}{9}}}{-\dfrac{355}{8}}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{341}{8}\right)\times\left(-3\right)\times\left(-\dfrac{19}{3}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}-\left(\dfrac{13}{15}-9\right)\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{\dfrac{\dfrac{11}{\dfrac{277}{18}}}{-\dfrac{139}{9}}}{-\dfrac{355}{8}}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{341}{8}\right)\times\left(-3\right)\times\left(-\dfrac{19}{3}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{\dfrac{\dfrac{11}{\dfrac{277}{18}}}{-\dfrac{139}{9}}}{-\dfrac{355}{8}}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{341}{8}\right)\times\left(-3\right)\times\left(-\dfrac{19}{3}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{\dfrac{\dfrac{198}{277}}{-\dfrac{139}{9}}}{-\dfrac{355}{8}}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{341}{8}\right)\times\left(-3\right)\times\left(-\dfrac{19}{3}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{-\dfrac{1782}{38503}}{-\dfrac{355}{8}}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{341}{8}\right)\times\left(-3\right)\times\left(-\dfrac{19}{3}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{341}{8}\right)\times\left(-3\right)\times\left(-\dfrac{19}{3}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\dfrac{1023}{8}\times\left(-\dfrac{19}{3}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\dfrac{\dfrac{-\dfrac{39}{2}}{-3}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\dfrac{\dfrac{13}{2}}{-\dfrac{379}{8}}\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\left(-\dfrac{71}{20}\right)\times\left(-\dfrac{113}{8}\right)\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\dfrac{8023}{160}\times9\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\dfrac{72207}{160}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{-\dfrac{379}{8}+\dfrac{164}{3}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\dfrac{72207}{160}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{\dfrac{127}{2}}{\dfrac{21}{4}}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\dfrac{72207}{160}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{36}{5}+6+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\dfrac{72207}{160}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8-\dfrac{6}{5}+3+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\dfrac{72207}{160}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{9}{5}+\dfrac{379}{8}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{101}{4}+\dfrac{21}{4}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\dfrac{72207}{160}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\left(\dfrac{61}{2}+\dfrac{122}{15}\right)-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\dfrac{72207}{160}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}-\dfrac{\dfrac{\dfrac{-\dfrac{19}{3}}{-\dfrac{355}{8}}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\dfrac{72207}{160}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}-\dfrac{\dfrac{\dfrac{152}{1065}}{\dfrac{14256}{13668565}}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\dfrac{72207}{160}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}-\dfrac{\dfrac{731557}{5346}}{-\dfrac{139}{9}}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\dfrac{72207}{160}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\left(-\dfrac{6479}{8}\right)\times\left(-\dfrac{52}{379}\right)\times\dfrac{72207}{160}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\dfrac{84227}{758}\times\dfrac{72207}{160}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\dfrac{6081778989}{121280}\times\dfrac{347}{3}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}+\dfrac{\dfrac{\dfrac{175}{24}}{8}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}+\dfrac{\dfrac{175}{192}}{-\dfrac{341}{8}}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}-\dfrac{175}{8184}+\dfrac{\dfrac{\dfrac{-3}{-\dfrac{39}{2}}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}-\dfrac{175}{8184}+\dfrac{\dfrac{\dfrac{2}{13}}{\dfrac{164}{3}}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}-\dfrac{175}{8184}+\dfrac{\dfrac{3}{1066}}{\dfrac{254}{21}}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}-\dfrac{175}{8184}+\dfrac{63}{270764}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{36}{5}\right)\times\dfrac{21}{4}\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}-\dfrac{175}{8184}+\dfrac{63}{270764}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{189}{5}\right)\times\dfrac{281}{4}+\dfrac{127}{2}-\dfrac{19}{3}+8+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}-\dfrac{175}{8184}+\dfrac{63}{270764}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{189}{5}\right)\times\dfrac{281}{4}+\dfrac{127}{2}+\dfrac{5}{3}+\dfrac{1967}{40}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}-\dfrac{175}{8184}+\dfrac{63}{270764}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{189}{5}\right)\times\dfrac{281}{4}+\dfrac{127}{2}+\dfrac{6101}{120}-\dfrac{379}{8}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{1159}{30}+\dfrac{5263}{594}+8+\dfrac{71}{20}\right)\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}-\dfrac{175}{8184}+\dfrac{63}{270764}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{189}{5}\right)\times\dfrac{281}{4}+\dfrac{127}{2}+\dfrac{52}{15}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{70528}{1485}+8+\dfrac{71}{20}\right)\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}-\dfrac{175}{8184}+\dfrac{63}{270764}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{189}{5}\right)\times\dfrac{281}{4}+\dfrac{127}{2}+\dfrac{52}{15}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\left(\dfrac{82408}{1485}+\dfrac{71}{20}\right)\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}-\dfrac{175}{8184}+\dfrac{63}{270764}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{189}{5}\right)\times\dfrac{281}{4}+\dfrac{127}{2}+\dfrac{52}{15}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\dfrac{350719}{5940}\times\left(\dfrac{2110377309183}{363840}-\dfrac{355}{8}-\dfrac{175}{8184}+\dfrac{63}{270764}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{189}{5}\right)\times\dfrac{281}{4}+\dfrac{127}{2}+\dfrac{52}{15}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\dfrac{350719}{5940}\times\left(\dfrac{16882889310264}{2910720}-\dfrac{175}{8184}+\dfrac{63}{270764}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{189}{5}\right)\times\dfrac{281}{4}+\dfrac{127}{2}+\dfrac{52}{15}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\dfrac{350719}{5940}\times\left(\dfrac{138169565605824576}{23821332480}+\dfrac{63}{270764}\right)}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{189}{5}\right)\times\dfrac{281}{4}+\dfrac{127}{2}+\dfrac{52}{15}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\dfrac{350719}{5940}\times\dfrac{3.7411344263196E+22}{6449959267614720}}}{\dfrac{347}{3}}-\dfrac{17+\left(-\dfrac{189}{5}\right)\times\dfrac{281}{4}+\dfrac{127}{2}+\dfrac{52}{15}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\dfrac{350719}{5940}\times\dfrac{3.7411344263196E+22}{6449959267614720}}}{\dfrac{347}{3}}-\dfrac{17-\dfrac{53109}{20}+\dfrac{127}{2}+\dfrac{52}{15}+9}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\dfrac{350719}{5940}\times\dfrac{3.7411344263196E+22}{6449959267614720}}}{\dfrac{347}{3}}-\dfrac{17-\dfrac{53109}{20}+\dfrac{127}{2}+\dfrac{187}{15}}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\dfrac{1.3120869248644E+28}{3.8312758049631E+19}}}{\dfrac{347}{3}}-\dfrac{17-\dfrac{53109}{20}+\dfrac{127}{2}+\dfrac{187}{15}}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\dfrac{1.3120869248644E+28}{3.8312758049631E+19}}}{\dfrac{347}{3}}-\dfrac{-\dfrac{52769}{20}+\dfrac{127}{2}+\dfrac{187}{15}}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\dfrac{1.3120869248644E+28}{3.8312758049631E+19}}}{\dfrac{347}{3}}-\dfrac{-\dfrac{51499}{20}+\dfrac{187}{15}}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\dfrac{1.3120869248644E+28}{3.8312758049631E+19}}}{\dfrac{347}{3}}-\dfrac{-\dfrac{153749}{60}}{\dfrac{21}{4}\times\dfrac{21}{4}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{\dfrac{-3}{\dfrac{1.3120869248644E+28}{3.8312758049631E+19}}}{\dfrac{347}{3}}-\dfrac{-\dfrac{153749}{60}}{\dfrac{441}{16}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}-\dfrac{-\dfrac{1.1493827414889E+20}{1.3120869248644E+28}}{\dfrac{347}{3}}-\dfrac{-\dfrac{153749}{60}}{\dfrac{441}{16}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}+\dfrac{3.4481482244668E+20}{4.5529416292794E+30}-\dfrac{-\dfrac{153749}{60}}{\dfrac{441}{16}}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}+\dfrac{3.4481482244668E+20}{4.5529416292794E+30}+\dfrac{614996}{6615}-\left(11-\dfrac{21}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}+\dfrac{3.4481482244668E+20}{4.5529416292794E+30}+\dfrac{614996}{6615}-\left(\dfrac{23}{4}-\dfrac{21}{4}-5\right)\\&=&\dfrac{164}{3}+\dfrac{3.4481482244668E+20}{4.5529416292794E+30}+\dfrac{614996}{6615}-\left(\dfrac{1}{2}-5\right)\\&=&\dfrac{164}{3}+\dfrac{3.4481482244668E+20}{4.5529416292794E+30}+\dfrac{614996}{6615}+\dfrac{9}{2}\\&=&\dfrac{7.4668242720286E+32}{1.3658824887838E+31}+\dfrac{614996}{6615}+\dfrac{9}{2}\\&=&\dfrac{1.3339426926668E+37}{9.035312663305E+34}+\dfrac{9}{2}\\&=&\dfrac{2.7492031993033E+37}{1.807062532661E+35}\\ \end{eqnarray*}