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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 \[-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\dfrac{-5}{\dfrac{113}{4}}\times\dfrac{89}{5}\times\left(\dfrac{113}{4}+\dfrac{27}{2}+11\right)}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-5+\dfrac{29}{3}-11}+\dfrac{\dfrac{-\dfrac{27}{2}}{-5}}{-\dfrac{27}{2}}\times\left(-5\right)\times\left(-\dfrac{37}{6}\right)\times\left(-\dfrac{18}{5}\right)\times2\right)-\left(\left(-11\right)\times4+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\]
Cliquer ici pour afficher la solution

Exercice


On a \( X=-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\dfrac{-5}{\dfrac{113}{4}}\times\dfrac{89}{5}\times\left(\dfrac{113}{4}+\dfrac{27}{2}+11\right)}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-5+\dfrac{29}{3}-11}+\dfrac{\dfrac{-\dfrac{27}{2}}{-5}}{-\dfrac{27}{2}}\times\left(-5\right)\times\left(-\dfrac{37}{6}\right)\times\left(-\dfrac{18}{5}\right)\times2\right)-\left(\left(-11\right)\times4+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)=\dfrac{1.3065464148655E+20}{17713696775472000}\) . Voici le détail : \begin{eqnarray*} X &=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\left(\dfrac{113}{4}+\dfrac{27}{2}+11\right)}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-5+\dfrac{29}{3}-11}+\dfrac{\dfrac{-\dfrac{27}{2}}{-5}}{-\dfrac{27}{2}}\times\left(-5\right)\times\left(-\dfrac{37}{6}\right)\times\left(-\dfrac{18}{5}\right)\times2\right)-\left(\left(-11\right)\times4+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\left(\dfrac{167}{4}+11\right)}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-5+\dfrac{29}{3}-11}+\dfrac{\dfrac{-\dfrac{27}{2}}{-5}}{-\dfrac{27}{2}}\times\left(-5\right)\times\left(-\dfrac{37}{6}\right)\times\left(-\dfrac{18}{5}\right)\times2\right)-\left(\left(-11\right)\times4+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-5+\dfrac{29}{3}-11}+\dfrac{\dfrac{-\dfrac{27}{2}}{-5}}{-\dfrac{27}{2}}\times\left(-5\right)\times\left(-\dfrac{37}{6}\right)\times\left(-\dfrac{18}{5}\right)\times2\right)-\left(\left(-11\right)\times4+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{\dfrac{14}{3}-11}+\dfrac{\dfrac{-\dfrac{27}{2}}{-5}}{-\dfrac{27}{2}}\times\left(-5\right)\times\left(-\dfrac{37}{6}\right)\times\left(-\dfrac{18}{5}\right)\times2\right)-\left(\left(-11\right)\times4+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\dfrac{\dfrac{-\dfrac{27}{2}}{-5}}{-\dfrac{27}{2}}\times\left(-5\right)\times\left(-\dfrac{37}{6}\right)\times\left(-\dfrac{18}{5}\right)\times2\right)-\left(\left(-11\right)\times4+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\dfrac{\dfrac{27}{10}}{-\dfrac{27}{2}}\times\left(-5\right)\times\left(-\dfrac{37}{6}\right)\times\left(-\dfrac{18}{5}\right)\times2\right)-\left(\left(-11\right)\times4+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-5\right)\times\left(-\dfrac{37}{6}\right)\times\left(-\dfrac{18}{5}\right)\times2\right)-\left(\left(-11\right)\times4+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\dfrac{185}{6}\times\left(-\dfrac{18}{5}\right)\times2\right)-\left(\left(-11\right)\times4+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-111\right)\times2\right)-\left(\left(-11\right)\times4+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(\left(-11\right)\times4+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(-44+3+\dfrac{17}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(-44+\dfrac{23}{2}+11-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(-44+\dfrac{45}{2}-3\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(-44+\dfrac{39}{2}\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{-\dfrac{113}{7}}{-\dfrac{17}{2}}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(-44+\dfrac{39}{2}\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{\dfrac{226}{119}}{\dfrac{89}{5}}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(-44+\dfrac{39}{2}\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{1130}{10591}}}{\left(-\dfrac{18}{5}\right)\times\left(-5\right)}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{20}{113}\right)\times\dfrac{89}{5}\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(-44+\dfrac{39}{2}\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{1130}{10591}}}{18}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{\left(-\dfrac{356}{113}\right)\times\dfrac{211}{4}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(-44+\dfrac{39}{2}\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{1130}{10591}}}{18}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{-\dfrac{18779}{113}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{\dfrac{4}{-\dfrac{113}{7}}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(-44+\dfrac{39}{2}\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{1130}{10591}}}{18}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{-\dfrac{18779}{113}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{\dfrac{-\dfrac{28}{113}}{\dfrac{100}{3}}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(-44+\dfrac{39}{2}\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{1130}{10591}}}{18}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{-\dfrac{18779}{113}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{-\dfrac{21}{2825}}{-\dfrac{19}{3}}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(-44+\dfrac{39}{2}\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{1130}{10591}}}{18}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{-\dfrac{18779}{113}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{63}{53675}+\left(-\dfrac{1}{5}\right)\times\left(-222\right)\right)-\left(-44+\dfrac{39}{2}\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{1130}{10591}}}{18}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{-\dfrac{18779}{113}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{63}{53675}+\dfrac{222}{5}\right)-\left(-44+\dfrac{39}{2}\right)\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{1130}{10591}}}{18}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{-\dfrac{18779}{113}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{63}{53675}+\dfrac{222}{5}\right)+\dfrac{49}{2}\times\left(-11\right)\times\dfrac{\dfrac{-\dfrac{37}{6}}{\dfrac{1130}{10591}}}{18}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{-\dfrac{18779}{113}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{63}{53675}+\dfrac{222}{5}\right)+\dfrac{49}{2}\times\left(-11\right)\times\dfrac{-\dfrac{391867}{6780}}{18}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{-\dfrac{127}{4}}{-\dfrac{18779}{113}}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{63}{53675}+\dfrac{222}{5}\right)+\dfrac{49}{2}\times\left(-11\right)\times\left(-\dfrac{391867}{122040}\right)\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{14351}{75116}-3+11+11\right)-\left(\dfrac{29}{3}-\left(\dfrac{63}{53675}+\dfrac{222}{5}\right)+\dfrac{49}{2}\times\left(-11\right)\times\left(-\dfrac{391867}{122040}\right)\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{14351}{75116}-3+11+11\right)-\left(\dfrac{29}{3}-\dfrac{2383233}{53675}+\dfrac{49}{2}\times\left(-11\right)\times\left(-\dfrac{391867}{122040}\right)\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{14351}{75116}-3+11+11\right)-\left(\dfrac{29}{3}-\dfrac{2383233}{53675}-\left(\dfrac{539}{2}\right)\times\left(-\dfrac{391867}{122040}\right)\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{14351}{75116}-3+11+11\right)-\left(\dfrac{29}{3}-\dfrac{2383233}{53675}+\dfrac{211216313}{244080}\times\left(-\dfrac{17}{2}\right)\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{14351}{75116}-3+11+11\right)-\left(\dfrac{29}{3}-\dfrac{2383233}{53675}-\dfrac{3590677321}{488160}\right)\\&=&-\dfrac{37}{6}+11-\left(-\dfrac{210997}{75116}+11+11\right)-\left(\dfrac{29}{3}-\dfrac{2383233}{53675}-\dfrac{3590677321}{488160}\right)\\&=&-\dfrac{37}{6}+11-\left(\dfrac{615279}{75116}+11\right)-\left(\dfrac{29}{3}-\dfrac{2383233}{53675}-\dfrac{3590677321}{488160}\right)\\&=&-\dfrac{37}{6}+11-\dfrac{1441555}{75116}-\left(\dfrac{29}{3}-\dfrac{2383233}{53675}-\dfrac{3590677321}{488160}\right)\\&=&-\dfrac{37}{6}+11-\dfrac{1441555}{75116}-\left(-\dfrac{5593124}{161025}-\dfrac{3590677321}{488160}\right)\\&=&-\dfrac{37}{6}+11-\dfrac{1441555}{75116}+\dfrac{580919155025865}{78605964000}\\&=&\dfrac{29}{6}-\dfrac{1441555}{75116}+\dfrac{580919155025865}{78605964000}\\&=&-\dfrac{3235483}{225348}+\dfrac{580919155025865}{78605964000}\\&=&\dfrac{1.3065464148655E+20}{17713696775472000}\\ \end{eqnarray*}