(5.3(39.87)+0.16((39.87-39.9)/(-0.24))^(3/2) )-(0.1/4 (39.87-38.6)^4+5.428(39.87))-(5.3(37.4)+0.16((37.4-39.9)/(-0.24))^(3/2) )-(0.1/4 〖(37.4-38.6)〗^4+5.428(37.4))

asked by guest
on Mar 16, 2025 at 5:31 am



You asked:

Evaluate the expression: 5.339.87+0.16(39.8739.90.24)32(0.14(39.8738.6)4+5.42839.87)(5.337.4+0.16(37.439.90.24)32)(0.14(37.438.6)4+5.42837.4)5.3 \cdot 39.87 + 0.16 {\left( \frac{39.87 - 39.9}{-0.24} \right)}^{\frac{3}{2}} - \left(\frac{0.1}{4 {\left( 39.87 - 38.6 \right)}^{4}} + 5.428 \cdot 39.87\right) - \left(5.3 \cdot 37.4 + 0.16 {\left( \frac{37.4 - 39.9}{-0.24} \right)}^{\frac{3}{2}}\right) - \left(\frac{0.1}{4 {\left( 37.4 - 38.6 \right)}^{4}} + 5.428 \cdot 37.4\right)

MathBot Answer:

5.339.87+0.16(39.8739.90.24)32(0.14(39.8738.6)4+5.42839.87)(5.337.4+0.16(37.439.90.24)32)(0.14(37.438.6)4+5.42837.4)=34250154711367289298428686368400000251518+2200411.724298834187933790528541429816855.3 \cdot 39.87 + 0.16 {\left( \frac{39.87 - 39.9}{-0.24} \right)}^{\frac{3}{2}} - \left(\frac{0.1}{4 {\left( 39.87 - 38.6 \right)}^{4}} + 5.428 \cdot 39.87\right) - \left(5.3 \cdot 37.4 + 0.16 {\left( \frac{37.4 - 39.9}{-0.24} \right)}^{\frac{3}{2}}\right) - \left(\frac{0.1}{4 {\left( 37.4 - 38.6 \right)}^{4}} + 5.428 \cdot 37.4\right) = - \frac{3425015471136728929}{8428686368400000} - \frac{25 \sqrt{15}}{18} + \frac{\sqrt{2}}{200} \approx -411.72429883418793379052854142981685


5.339.87+0.16(39.8739.90.24)32(0.14(39.8738.6)4+5.42839.87)(5.337.4+0.16(37.439.90.24)32)(0.14(37.438.6)4+5.42837.4)=(5+310)(39+87100)+16100((39+87100(39+910))124100)32(11014(39+87100(38+610))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=5310(39+87100)+16100((39+87100(39+910))124100)32(11014(39+87100(38+610))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=53103987100+16100((39+87100(39+910))124100)32(11014(39+87100(38+610))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+16100((39+87100(39+910))124100)32(11014(39+87100(38+610))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+16100((39+8710039910)124100)32(11014(39+87100(38+610))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+16100((398710039910)124100)32(11014(39+87100(38+610))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+16100(3100124100)32(11014(39+87100(38+610))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+16100(31001625)32(11014(39+87100(38+610))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+16100(18)32(11014(39+87100(38+610))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+161001322(11014(39+87100(38+610))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+4251322(11014(39+87100(38+610))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(11014(39+87100(38+610))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(11014(39+87100(38+35))4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(11014(39+871001935)4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(11014(39871001935)4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(11014(127100)4+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(11014260144641100000000+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(110126014464125000000+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(12500000260144641+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(2500000260144641+(5+4281000)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(2500000260144641+(5+107250)(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(2500000260144641+1357250(39+87100))((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(2500000260144641+13572503987100)((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+12002(2500000260144641+541035925000)((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000((5+310)(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(5310(37+410)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(5310(37+25)+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(53101875+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+16100((37+410(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+16100((37+25(39+910))124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+16100((37+2539910)124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+16100((187539910)124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+16100(52124100)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+16100(521625)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+16100(12512)32)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+161006257215)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+4256257215)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(11014(37+410(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(11014(37+25(38+610))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(11014(37+25(38+35))4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(11014(37+251935)4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(11014(18751935)4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(11014(65)4+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(110141296625+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(11015184625+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(112510368+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(12510368+(5+4281000)(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(12510368+(5+107250)(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(12510368+1357250(37+410))=2113111000+1200214075383997361196503616025000(991150+251815)(12510368+1357250(37+25))=2113111000+1200214075383997361196503616025000(991150+251815)(12510368+13572501875)=2113111000+1200214075383997361196503616025000(991150+251815)(12510368+2537591250)=2113111000+1200214075383997361196503616025000(991150+251815)13155647816480000=(2113111000+12002)14075383997361196503616025000(991150+251815)13155647816480000=(4156599234668812952003125+12002)(991150+251815)13155647816480000=(3305998905882111625904006250251815+12002)13155647816480000=34250154711367289298428686368400000251815+12002\begin{aligned}5.3 \cdot 39.87 + 0.16 {\left( \frac{39.87 - 39.9}{-0.24} \right)}^{\frac{3}{2}} - \left(\frac{0.1}{4 {\left( 39.87 - 38.6 \right)}^{4}} + 5.428 \cdot 39.87\right) - \left(5.3 \cdot 37.4 + 0.16 {\left( \frac{37.4 - 39.9}{-0.24} \right)}^{\frac{3}{2}}\right) - \left(\frac{0.1}{4 {\left( 37.4 - 38.6 \right)}^{4}} + 5.428 \cdot 37.4\right)&=\left(5 + \frac{3}{10}\right) \cdot \left(39 + \frac{87}{100}\right) + \frac{16}{100} \cdot \left(\left(39 + \frac{87}{100} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{53}{10} \cdot \left(39 + \frac{87}{100}\right) + \frac{16}{100} \cdot \left(\left(39 + \frac{87}{100} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{53}{10} \cdot \frac{3987}{100} + \frac{16}{100} \cdot \left(\left(39 + \frac{87}{100} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{16}{100} \cdot \left(\left(39 + \frac{87}{100} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{16}{100} \cdot \left(\left(39 + \frac{87}{100} - \frac{399}{10}\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{16}{100} \cdot \left(\left(\frac{3987}{100} - \frac{399}{10}\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{16}{100} \cdot \left(- \frac{3}{100} \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{16}{100} \cdot \left(- \frac{3}{100} \cdot \frac{1}{- \frac{6}{25}}\right)^{\frac{3}{2}} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{16}{100} \cdot \left(\frac{1}{8}\right)^{\frac{3}{2}} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{16}{100} \cdot \frac{1}{32} \cdot \sqrt{2} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{4}{25} \cdot \frac{1}{32} \cdot \sqrt{2} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \left(38 + \frac{3}{5}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(39 + \frac{87}{100} - \frac{193}{5}\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(\frac{3987}{100} - \frac{193}{5}\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(\frac{127}{100}\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \frac{260144641}{100000000}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(\frac{1}{10} \cdot \frac{1}{\frac{260144641}{25000000}} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(1 \cdot \frac{2500000}{260144641} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(\frac{2500000}{260144641} + \left(5 + \frac{428}{1000}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(\frac{2500000}{260144641} + \left(5 + \frac{107}{250}\right) \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(\frac{2500000}{260144641} + \frac{1357}{250} \cdot \left(39 + \frac{87}{100}\right)\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(\frac{2500000}{260144641} + \frac{1357}{250} \cdot \frac{3987}{100}\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \left(\frac{2500000}{260144641} + \frac{5410359}{25000}\right) - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\left(5 + \frac{3}{10}\right) \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{53}{10} \cdot \left(37 + \frac{4}{10}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{53}{10} \cdot \left(37 + \frac{2}{5}\right) + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{53}{10} \cdot \frac{187}{5} + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{16}{100} \cdot \left(\left(37 + \frac{4}{10} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{16}{100} \cdot \left(\left(37 + \frac{2}{5} - \left(39 + \frac{9}{10}\right)\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{16}{100} \cdot \left(\left(37 + \frac{2}{5} - \frac{399}{10}\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{16}{100} \cdot \left(\left(\frac{187}{5} - \frac{399}{10}\right) \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{16}{100} \cdot \left(- \frac{5}{2} \cdot \frac{1}{- \frac{24}{100}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{16}{100} \cdot \left(- \frac{5}{2} \cdot \frac{1}{- \frac{6}{25}}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{16}{100} \cdot \left(\frac{125}{12}\right)^{\frac{3}{2}}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{16}{100} \cdot \frac{625}{72} \cdot \sqrt{15}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{4}{25} \cdot \frac{625}{72} \cdot \sqrt{15}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{4}{10} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{2}{5} - \left(38 + \frac{6}{10}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{2}{5} - \left(38 + \frac{3}{5}\right)\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(37 + \frac{2}{5} - \frac{193}{5}\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(\frac{187}{5} - \frac{193}{5}\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \left(- \frac{6}{5}\right)^{4}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{1}{10} \cdot \frac{1}{4 \cdot \frac{1296}{625}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{1}{10} \cdot \frac{1}{\frac{5184}{625}} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(1 \cdot \frac{125}{10368} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{125}{10368} + \left(5 + \frac{428}{1000}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{125}{10368} + \left(5 + \frac{107}{250}\right) \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{125}{10368} + \frac{1357}{250} \cdot \left(37 + \frac{4}{10}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{125}{10368} + \frac{1357}{250} \cdot \left(37 + \frac{2}{5}\right)\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{125}{10368} + \frac{1357}{250} \cdot \frac{187}{5}\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \left(\frac{125}{10368} + \frac{253759}{1250}\right)\\&=\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2} - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \frac{1315564781}{6480000}\\&=\left(\frac{211311}{1000} + \frac{1}{200} \cdot \sqrt{2}\right) - \frac{1407538399736119}{6503616025000} - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \frac{1315564781}{6480000}\\&=\left(- \frac{4156599234668}{812952003125} + \frac{1}{200} \cdot \sqrt{2}\right) - \left(\frac{9911}{50} + \frac{25}{18} \cdot \sqrt{15}\right) - \frac{1315564781}{6480000}\\&=\left(- \frac{330599890588211}{1625904006250} - \frac{25}{18} \cdot \sqrt{15} + \frac{1}{200} \cdot \sqrt{2}\right) - \frac{1315564781}{6480000}\\&=- \frac{3425015471136728929}{8428686368400000} - \frac{25}{18} \cdot \sqrt{15} + \frac{1}{200} \cdot \sqrt{2}\end{aligned}