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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 \[\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\left(-\dfrac{81}{4}-7\right)\times\left(-\dfrac{119}{12}+\dfrac{35}{3}+\dfrac{13}{2}\right)\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\left(-12+\dfrac{35}{3}+\dfrac{119}{12}-\dfrac{31}{5}\right)-\left(-\dfrac{11}{6}+\dfrac{139}{8}+12\right)-\left(-\dfrac{139}{8}-\dfrac{35}{3}+12-\dfrac{35}{3}\right)+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\]
Cliquer ici pour afficher la solution

Exercice


On a \( X=\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\left(-\dfrac{81}{4}-7\right)\times\left(-\dfrac{119}{12}+\dfrac{35}{3}+\dfrac{13}{2}\right)\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\left(-12+\dfrac{35}{3}+\dfrac{119}{12}-\dfrac{31}{5}\right)-\left(-\dfrac{11}{6}+\dfrac{139}{8}+12\right)-\left(-\dfrac{139}{8}-\dfrac{35}{3}+12-\dfrac{35}{3}\right)+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}=-\dfrac{1.4801222568431E+22}{7.9622015818449E+26}\) . Voici le détail : \begin{eqnarray*} X &=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\left(-\dfrac{119}{12}+\dfrac{35}{3}+\dfrac{13}{2}\right)\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\left(-12+\dfrac{35}{3}+\dfrac{119}{12}-\dfrac{31}{5}\right)-\left(-\dfrac{11}{6}+\dfrac{139}{8}+12\right)-\left(-\dfrac{139}{8}-\dfrac{35}{3}+12-\dfrac{35}{3}\right)+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\left(\dfrac{7}{4}+\dfrac{13}{2}\right)\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\left(-12+\dfrac{35}{3}+\dfrac{119}{12}-\dfrac{31}{5}\right)-\left(-\dfrac{11}{6}+\dfrac{139}{8}+12\right)-\left(-\dfrac{139}{8}-\dfrac{35}{3}+12-\dfrac{35}{3}\right)+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\left(-12+\dfrac{35}{3}+\dfrac{119}{12}-\dfrac{31}{5}\right)-\left(-\dfrac{11}{6}+\dfrac{139}{8}+12\right)-\left(-\dfrac{139}{8}-\dfrac{35}{3}+12-\dfrac{35}{3}\right)+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\left(-\dfrac{1}{3}+\dfrac{119}{12}-\dfrac{31}{5}\right)-\left(-\dfrac{11}{6}+\dfrac{139}{8}+12\right)-\left(-\dfrac{139}{8}-\dfrac{35}{3}+12-\dfrac{35}{3}\right)+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\left(\dfrac{115}{12}-\dfrac{31}{5}\right)-\left(-\dfrac{11}{6}+\dfrac{139}{8}+12\right)-\left(-\dfrac{139}{8}-\dfrac{35}{3}+12-\dfrac{35}{3}\right)+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\left(-\dfrac{11}{6}+\dfrac{139}{8}+12\right)-\left(-\dfrac{139}{8}-\dfrac{35}{3}+12-\dfrac{35}{3}\right)+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\left(\dfrac{373}{24}+12\right)-\left(-\dfrac{139}{8}-\dfrac{35}{3}+12-\dfrac{35}{3}\right)+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}-\left(-\dfrac{139}{8}-\dfrac{35}{3}+12-\dfrac{35}{3}\right)+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}-\left(-\dfrac{697}{24}+12-\dfrac{35}{3}\right)+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}-\left(-\dfrac{409}{24}-\dfrac{35}{3}\right)+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{81}{4}+1}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{-\dfrac{35}{3}}{-6}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{11}{2}-\dfrac{22}{3}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{77}{6}-\dfrac{22}{3}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}-\left(-\dfrac{121}{6}-\dfrac{35}{3}\right)-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{-1}{-12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}-\dfrac{\dfrac{\dfrac{1}{12}}{\dfrac{49}{3}}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}-\dfrac{\dfrac{1}{196}}{-\dfrac{35}{3}}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-\left(-6\right)\times\left(-12\right)\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-72\times\dfrac{49}{3}\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}-1176\times\left(-\dfrac{11}{6}\right)-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{109}{4}\times\dfrac{33}{4}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{-\dfrac{3597}{16}\times\left(-\dfrac{35}{3}\right)+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}+\dfrac{\dfrac{-\dfrac{22}{3}}{-\dfrac{13}{2}}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}+\dfrac{\dfrac{44}{39}}{-\dfrac{139}{8}}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{203}{60}-\dfrac{661}{24}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}-\dfrac{2899}{120}+\dfrac{689}{24}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{91}{20}+\dfrac{41}{12}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{41}{12}}{-\dfrac{11}{6}}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{41}{22}}{-\dfrac{81}{4}}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{-\dfrac{82}{891}}{-\dfrac{77}{4}}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{328}{68607}}{\dfrac{35}{18}+12+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{328}{68607}}{\dfrac{251}{18}+\dfrac{119}{12}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{328}{68607}}{\dfrac{859}{36}}}{-\dfrac{11}{6}+\dfrac{191}{6}-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{328}{68607}}{\dfrac{859}{36}}}{30-\dfrac{49}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{328}{68607}}{\dfrac{859}{36}}}{\dfrac{41}{3}+\dfrac{3}{6860}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{328}{68607}}{\dfrac{859}{36}}}{\dfrac{281269}{20580}}}{-\dfrac{13}{2}-\left(\dfrac{49}{3}+\dfrac{81}{4}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{328}{68607}}{\dfrac{859}{36}}}{\dfrac{281269}{20580}}}{-\dfrac{13}{2}-\left(\dfrac{439}{12}+2156-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{328}{68607}}{\dfrac{859}{36}}}{\dfrac{281269}{20580}}}{-\dfrac{13}{2}-\left(\dfrac{26311}{12}-\dfrac{49}{3}\right)-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{328}{68607}}{\dfrac{859}{36}}}{\dfrac{281269}{20580}}}{-\dfrac{13}{2}-\dfrac{8705}{4}-\dfrac{-\dfrac{139}{8}}{-\dfrac{22}{3}}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{41965}{16}-\dfrac{352}{5421}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{328}{68607}}{\dfrac{859}{36}}}{\dfrac{281269}{20580}}}{-\dfrac{13}{2}-\dfrac{8705}{4}-\dfrac{417}{176}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{227486633}{86736}+\dfrac{239}{30}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{328}{68607}}{\dfrac{859}{36}}}{\dfrac{281269}{20580}}}{-\dfrac{13}{2}-\dfrac{8705}{4}-\dfrac{417}{176}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{6845328894}{2602080}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{\dfrac{328}{68607}}{\dfrac{859}{36}}}{\dfrac{281269}{20580}}}{-\dfrac{13}{2}-\dfrac{8705}{4}-\dfrac{417}{176}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{6845328894}{2602080}}{-12}\times\dfrac{\dfrac{\dfrac{\dfrac{1312}{6548157}}{\dfrac{281269}{20580}}}{-\dfrac{13}{2}-\dfrac{8705}{4}-\dfrac{417}{176}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{6845328894}{2602080}}{-12}\times\dfrac{\dfrac{\dfrac{27000960}{1841793571233}}{-\dfrac{13}{2}-\dfrac{8705}{4}-\dfrac{417}{176}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{6845328894}{2602080}}{-12}\times\dfrac{\dfrac{\dfrac{27000960}{1841793571233}}{-\dfrac{8731}{4}-\dfrac{417}{176}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\dfrac{\dfrac{6845328894}{2602080}}{-12}\times\dfrac{\dfrac{\dfrac{27000960}{1841793571233}}{-\dfrac{384581}{176}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\left(-\dfrac{6845328894}{31224960}\right)\times\dfrac{\dfrac{\dfrac{27000960}{1841793571233}}{-\dfrac{384581}{176}}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\left(-\dfrac{6845328894}{31224960}\right)\times\dfrac{-\dfrac{4752168960}{708318813418358373}}{-6}\\&=&\left(-\dfrac{35}{3}\right)\times\left(-\dfrac{13}{2}\right)\times\left(-\dfrac{6845328894}{31224960}\right)\times\dfrac{4752168960}{4249912880510150238}\\&=&\dfrac{455}{6}\times\left(-\dfrac{6845328894}{31224960}\right)\times\dfrac{4752168960}{4249912880510150238}\\&=&\left(-\dfrac{3114624646770}{187349760}\right)\times\dfrac{4752168960}{4249912880510150238}\\&=&-\dfrac{1.4801222568431E+22}{7.9622015818449E+26}\\ \end{eqnarray*}