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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 \[\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}+2+2-\dfrac{137}{3}+\dfrac{1}{\dfrac{98}{3}}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{-7+12+\dfrac{12}{7}}{-\dfrac{137}{3}}}{-\dfrac{21}{2}-\dfrac{21}{2}+12}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6+2-2-\dfrac{12}{7}-\dfrac{78}{5}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{137}{3}\right)\times11\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\]
Cliquer ici pour afficher la solution

Exercice


On a \( X=\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}+2+2-\dfrac{137}{3}+\dfrac{1}{\dfrac{98}{3}}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{-7+12+\dfrac{12}{7}}{-\dfrac{137}{3}}}{-\dfrac{21}{2}-\dfrac{21}{2}+12}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6+2-2-\dfrac{12}{7}-\dfrac{78}{5}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{137}{3}\right)\times11\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}=-\dfrac{1.9354574703291E+20}{9995996014018560}\) . Voici le détail : \begin{eqnarray*} X &=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}+4-\dfrac{137}{3}+\dfrac{1}{\dfrac{98}{3}}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{-7+12+\dfrac{12}{7}}{-\dfrac{137}{3}}}{-\dfrac{21}{2}-\dfrac{21}{2}+12}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6+2-2-\dfrac{12}{7}-\dfrac{78}{5}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{137}{3}\right)\times11\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{1}{\dfrac{98}{3}}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{-7+12+\dfrac{12}{7}}{-\dfrac{137}{3}}}{-\dfrac{21}{2}-\dfrac{21}{2}+12}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6+2-2-\dfrac{12}{7}-\dfrac{78}{5}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{137}{3}\right)\times11\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{-7+12+\dfrac{12}{7}}{-\dfrac{137}{3}}}{-\dfrac{21}{2}-\dfrac{21}{2}+12}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6+2-2-\dfrac{12}{7}-\dfrac{78}{5}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{137}{3}\right)\times11\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{5+\dfrac{12}{7}}{-\dfrac{137}{3}}}{-\dfrac{21}{2}-\dfrac{21}{2}+12}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6+2-2-\dfrac{12}{7}-\dfrac{78}{5}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{137}{3}\right)\times11\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-\dfrac{21}{2}-\dfrac{21}{2}+12}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6+2-2-\dfrac{12}{7}-\dfrac{78}{5}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{137}{3}\right)\times11\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-21+12}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6+2-2-\dfrac{12}{7}-\dfrac{78}{5}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{137}{3}\right)\times11\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6+2-2-\dfrac{12}{7}-\dfrac{78}{5}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{137}{3}\right)\times11\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6+0-\dfrac{12}{7}-\dfrac{78}{5}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{137}{3}\right)\times11\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{12}{7}-\dfrac{78}{5}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{137}{3}\right)\times11\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{137}{3}\right)\times11\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\left(-\dfrac{1507}{3}\right)\times\left(-7\right)\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{10549}{3}\times\dfrac{98}{3}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-\left(1+7\right)}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{-\dfrac{21}{2}}{-\dfrac{137}{3}}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{\dfrac{63}{274}}{12}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{\dfrac{21}{1096}}{12}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(12+\dfrac{12}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{7}{4384}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(\dfrac{96}{7}-\dfrac{125}{3}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{7}{4384}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(-\dfrac{587}{21}+\dfrac{3}{98}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{7}{4384}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(-\dfrac{8209}{294}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{\dfrac{\dfrac{47}{7}}{-\dfrac{137}{3}}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{7}{4384}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(-\dfrac{8209}{294}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{-\dfrac{141}{959}}{-9}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{7}{4384}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(-\dfrac{8209}{294}\right)\times11-12-\left(-\dfrac{15}{4}+\dfrac{\dfrac{47}{2877}}{-6}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{7}{4384}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(-\dfrac{8209}{294}\right)\times11-12-\left(-\dfrac{15}{4}-\dfrac{47}{17262}\right)-\left(-\dfrac{15}{4}-7+\dfrac{78}{5}-6-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{7}{4384}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(-\dfrac{8209}{294}\right)\times11-12-\left(-\dfrac{15}{4}-\dfrac{47}{17262}\right)-\left(-\dfrac{15}{4}-7+\dfrac{48}{5}-\dfrac{606}{35}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{7}{4384}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(-\dfrac{8209}{294}\right)\times11-12-\left(-\dfrac{15}{4}-\dfrac{47}{17262}\right)-\left(-\dfrac{15}{4}-7-\dfrac{54}{7}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{1033802}{9}-\dfrac{12}{7}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{7}{4384}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(-\dfrac{8209}{294}\right)\times11-12-\left(-\dfrac{15}{4}-\dfrac{47}{17262}\right)-\left(-\dfrac{15}{4}-7-\dfrac{54}{7}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{7236506}{63}-8}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{7}{4384}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(-\dfrac{8209}{294}\right)\times11-12-\left(-\dfrac{15}{4}-\dfrac{47}{17262}\right)-\left(-\dfrac{15}{4}-7-\dfrac{54}{7}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{7236002}{63}}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{12}{\dfrac{7}{4384}}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(-\dfrac{8209}{294}\right)\times11-12-\left(-\dfrac{15}{4}-\dfrac{47}{17262}\right)-\left(-\dfrac{15}{4}-7-\dfrac{54}{7}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{7236002}{63}}{\dfrac{12}{7}}}{\dfrac{\dfrac{\dfrac{52608}{7}}{-3}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(-\dfrac{8209}{294}\right)\times11-12-\left(-\dfrac{15}{4}-\dfrac{47}{17262}\right)-\left(-\dfrac{15}{4}-7-\dfrac{54}{7}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{7236002}{63}}{\dfrac{12}{7}}}{\dfrac{-\dfrac{17536}{7}}{11}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{21}{2}\right)\times\left(-6\right)\times\left(-\dfrac{8209}{294}\right)\times11-12-\left(-\dfrac{15}{4}-\dfrac{47}{17262}\right)-\left(-\dfrac{15}{4}-7-\dfrac{54}{7}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{7236002}{63}}{\dfrac{12}{7}}}{-\dfrac{17536}{77}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+63\times\left(-\dfrac{8209}{294}\right)\times11-12-\left(-\dfrac{15}{4}-\dfrac{47}{17262}\right)-\left(-\dfrac{15}{4}-7-\dfrac{54}{7}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{7236002}{63}}{\dfrac{12}{7}}}{-\dfrac{17536}{77}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2+\left(-\dfrac{24627}{14}\right)\times11-12-\left(-\dfrac{15}{4}-\dfrac{47}{17262}\right)-\left(-\dfrac{15}{4}-7-\dfrac{54}{7}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{7236002}{63}}{\dfrac{12}{7}}}{-\dfrac{17536}{77}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2-\dfrac{270897}{14}-12-\left(-\dfrac{15}{4}-\dfrac{47}{17262}\right)-\left(-\dfrac{15}{4}-7-\dfrac{54}{7}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{7236002}{63}}{\dfrac{12}{7}}}{-\dfrac{17536}{77}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2-\dfrac{270897}{14}-12+\dfrac{129559}{34524}-\left(-\dfrac{15}{4}-7-\dfrac{54}{7}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{7236002}{63}}{\dfrac{12}{7}}}{-\dfrac{17536}{77}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2-\dfrac{270897}{14}-12+\dfrac{129559}{34524}-\left(-\dfrac{43}{4}-\dfrac{54}{7}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{7236002}{63}}{\dfrac{12}{7}}}{-\dfrac{17536}{77}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2-\dfrac{270897}{14}-12+\dfrac{129559}{34524}-\left(-\dfrac{517}{28}+12\right)-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{7236002}{63}}{\dfrac{12}{7}}}{-\dfrac{17536}{77}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2-\dfrac{270897}{14}-12+\dfrac{129559}{34524}+\dfrac{181}{28}-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{\dfrac{7236002}{63}}{\dfrac{12}{7}}}{-\dfrac{17536}{77}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2-\dfrac{270897}{14}-12+\dfrac{129559}{34524}+\dfrac{181}{28}-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{\dfrac{\dfrac{3618001}{54}}{-\dfrac{17536}{77}}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2-\dfrac{270897}{14}-12+\dfrac{129559}{34524}+\dfrac{181}{28}-\dfrac{21}{2}+\dfrac{78}{5}+\dfrac{-\dfrac{278586077}{946944}}{\dfrac{78}{5}}\\&=&\dfrac{12}{12}+2-\dfrac{270897}{14}-12+\dfrac{129559}{34524}+\dfrac{181}{28}-\dfrac{21}{2}+\dfrac{78}{5}-\dfrac{1392930385}{73861632}\\&=&1+2-\dfrac{270897}{14}-12+\dfrac{129559}{34524}+\dfrac{181}{28}-\dfrac{21}{2}+\dfrac{78}{5}-\dfrac{1392930385}{73861632}\\&=&1+2-\dfrac{271065}{14}+\dfrac{129559}{34524}+\dfrac{181}{28}-\dfrac{21}{2}+\dfrac{78}{5}-\dfrac{1392930385}{73861632}\\&=&1+2-\dfrac{9356434234}{483336}+\dfrac{181}{28}-\dfrac{21}{2}+\dfrac{78}{5}-\dfrac{1392930385}{73861632}\\&=&1+2-\dfrac{261892674736}{13533408}-\dfrac{21}{2}+\dfrac{78}{5}-\dfrac{1392930385}{73861632}\\&=&1+2-\dfrac{261892674736}{13533408}+\dfrac{51}{10}-\dfrac{1392930385}{73861632}\\&=&1+2-\dfrac{261892674736}{13533408}-\dfrac{10162360618}{738616320}\\&=&3-\dfrac{261892674736}{13533408}-\dfrac{10162360618}{738616320}\\&=&-\dfrac{261852074512}{13533408}-\dfrac{10162360618}{738616320}\\&=&-\dfrac{1.9354574703291E+20}{9995996014018560}\\ \end{eqnarray*}