1.0281284- (-46+1.0281284+9*(1.0281284)^2+8(1.0281284)^3+0*(1.0281284)^4+9*(1.0281284)^5+7*(1.0281284)^6+7*(1.0281284)^7+5*(1.0281284)^8/1+18*(1.0281284)+24*(1.0281284)^2+45(1.0281284)^4+42*(1.0281284)^5+49*(1.0281284)+40*(1.0281284)^7)

asked by guest
on Nov 18, 2024 at 9:21 am



You asked:

Evaluate the expression: \(1.0281284 - \left(-46 + 1.0281284 + 9 \cdot {1.0281284}^{2} + 8 \cdot {1.0281284}^{3} + 0 \cdot {1.0281284}^{4} + 9 \cdot {1.0281284}^{5} + 7 \cdot {1.0281284}^{6} + 7 \cdot {1.0281284}^{7} + \frac{5 \cdot {1.0281284}^{8}}{1} + 18 \cdot 1.0281284 + 24 \cdot {1.0281284}^{2} + 45 \cdot {1.0281284}^{4} + 42 \cdot {1.0281284}^{5} + 49 \cdot 1.0281284 + 40 \cdot {1.0281284}^{7}\right)\)

MathBot Answer:

\[1.0281284 - \left(-46 + 1.0281284 + 9 \cdot {1.0281284}^{2} + 8 \cdot {1.0281284}^{3} + 0 \cdot {1.0281284}^{4} + 9 \cdot {1.0281284}^{5} + 7 \cdot {1.0281284}^{6} + 7 \cdot {1.0281284}^{7} + \frac{5 \cdot {1.0281284}^{8}}{1} + 18 \cdot 1.0281284 + 24 \cdot {1.0281284}^{2} + 45 \cdot {1.0281284}^{4} + 42 \cdot {1.0281284}^{5} + 49 \cdot 1.0281284 + 40 \cdot {1.0281284}^{7}\right) = - \frac{75351809838378808725591765802729726968440121134737761}{305175781250000000000000000000000000000000000000000} = -246.9128104783996804320190981823847693301845889343086952448\]

\[\begin{aligned}1.0281284 - \left(-46 + 1.0281284 + 9 \cdot {1.0281284}^{2} + 8 \cdot {1.0281284}^{3} + 0 \cdot {1.0281284}^{4} + 9 \cdot {1.0281284}^{5} + 7 \cdot {1.0281284}^{6} + 7 \cdot {1.0281284}^{7} + \frac{5 \cdot {1.0281284}^{8}}{1} + 18 \cdot 1.0281284 + 24 \cdot {1.0281284}^{2} + 45 \cdot {1.0281284}^{4} + 42 \cdot {1.0281284}^{5} + 49 \cdot 1.0281284 + 40 \cdot {1.0281284}^{7}\right)& = 1 + \frac{281284}{10000000} - \left(-46 + 1 + \frac{281284}{10000000} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 8 \cdot \left(1 + \frac{281284}{10000000}\right)^{3} + 0 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{281284}{10000000} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 8 \cdot \left(1 + \frac{281284}{10000000}\right)^{3} + 0 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 8 \cdot \left(1 + \frac{281284}{10000000}\right)^{3} + 0 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + 9 \cdot \left(1 + \frac{70321}{2500000}\right)^{2} + 8 \cdot \left(1 + \frac{281284}{10000000}\right)^{3} + 0 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + 9 \cdot \left(\frac{2570321}{2500000}\right)^{2} + 8 \cdot \left(1 + \frac{281284}{10000000}\right)^{3} + 0 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + 9 \cdot \frac{6606550043041}{6250000000000} + 8 \cdot \left(1 + \frac{281284}{10000000}\right)^{3} + 0 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + 8 \cdot \left(1 + \frac{281284}{10000000}\right)^{3} + 0 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + 8 \cdot \left(1 + \frac{70321}{2500000}\right)^{3} + 0 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + 8 \cdot \left(\frac{2570321}{2500000}\right)^{3} + 0 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + 8 \cdot \frac{16980954313179186161}{15625000000000000000} + 0 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 \cdot \left(1 + \frac{70321}{2500000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 \cdot \left(\frac{2570321}{2500000}\right)^{4} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 \cdot \frac{43646503471205038952527681}{39062500000000000000000000} + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + 9 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + 9 \cdot \left(1 + \frac{70321}{2500000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + 9 \cdot \left(\frac{2570321}{2500000}\right)^{5} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + 9 \cdot \frac{112185524448611206925499901555601}{97656250000000000000000000000000} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + 7 \cdot \left(1 + \frac{70321}{2500000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + 7 \cdot \left(\frac{2570321}{2500000}\right)^{6} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + 7 \cdot \frac{288352809386278805995957832466293917921}{244140625000000000000000000000000000000} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + 7 \cdot \left(1 + \frac{281284}{10000000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + 7 \cdot \left(1 + \frac{70321}{2500000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + 7 \cdot \left(\frac{2570321}{2500000}\right)^{7} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + 7 \cdot \frac{741159281374549526906336331902597049404622641}{610351562500000000000000000000000000000000000} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + 5 \cdot \left(1 + \frac{281284}{10000000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + 5 \cdot \left(1 + \frac{70321}{2500000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + 5 \cdot \left(\frac{2570321}{2500000}\right)^{8} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + 5 \cdot \frac{1905017265261913514547421306952215150622739071237761}{1525878906250000000000000000000000000000000000000000} \cdot 1^{-1} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + 5 \cdot \frac{1905017265261913514547421306952215150622739071237761}{1525878906250000000000000000000000000000000000000000} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + 18 \cdot \left(1 + \frac{281284}{10000000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + 18 \cdot \left(1 + \frac{70321}{2500000}\right) + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + 18 \cdot \frac{2570321}{2500000} + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + 24 \cdot \left(1 + \frac{281284}{10000000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + 24 \cdot \left(1 + \frac{70321}{2500000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + 24 \cdot \left(\frac{2570321}{2500000}\right)^{2} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + 24 \cdot \frac{6606550043041}{6250000000000} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + 45 \cdot \left(1 + \frac{281284}{10000000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + 45 \cdot \left(1 + \frac{70321}{2500000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + 45 \cdot \left(\frac{2570321}{2500000}\right)^{4} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + 45 \cdot \frac{43646503471205038952527681}{39062500000000000000000000} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + 42 \cdot \left(1 + \frac{281284}{10000000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + 42 \cdot \left(1 + \frac{70321}{2500000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + 42 \cdot \left(\frac{2570321}{2500000}\right)^{5} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + 42 \cdot \frac{112185524448611206925499901555601}{97656250000000000000000000000000} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + 49 \cdot \left(1 + \frac{281284}{10000000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + 49 \cdot \left(1 + \frac{70321}{2500000}\right) + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + 49 \cdot \frac{2570321}{2500000} + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + 40 \cdot \left(1 + \frac{281284}{10000000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + 40 \cdot \left(1 + \frac{70321}{2500000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + 40 \cdot \left(\frac{2570321}{2500000}\right)^{7}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + 40 \cdot \frac{741159281374549526906336331902597049404622641}{610351562500000000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(-46 + 1 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(-45 + \frac{70321}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(- \frac{112429679}{2500000} + \frac{59458950387369}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(- \frac{221615247112631}{6250000000000} + \frac{16980954313179186161}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(- \frac{52273810409518001339}{1953125000000000000} + 0 + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(- \frac{52273810409518001339}{1953125000000000000} + \frac{1009669720037500862329499114000409}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(- \frac{1604020800438399204620500885999591}{97656250000000000000000000000000} + \frac{2018469665703951641971704827264057425447}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(- \frac{1991582335392046369579547387734920074553}{244140625000000000000000000000000000000} + \frac{5188114969621846688344354323318179345832358487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(\frac{209159131141730764395485853980879159449858487}{610351562500000000000000000000000000000000000} + \frac{1905017265261913514547421306952215150622739071237761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(\frac{2009596830832778896745164233942654730347668314737761}{305175781250000000000000000000000000000000000000000} + \frac{23132889}{1250000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(\frac{7657274809348403896745164233942654730347668314737761}{305175781250000000000000000000000000000000000000000} + \frac{19819650129123}{781250000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(\frac{15399325641037075771745164233942654730347668314737761}{305175781250000000000000000000000000000000000000000} + \frac{392818531240845350572749129}{7812500000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(\frac{30743799517632597278493177085505154730347668314737761}{305175781250000000000000000000000000000000000000000} + \frac{2355896013420835345435497932667621}{48828125000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(\frac{45468149601512818187465039164677785980347668314737761}{305175781250000000000000000000000000000000000000000} + \frac{125945729}{2500000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \left(\frac{60842384098583130687465039164677785980347668314737761}{305175781250000000000000000000000000000000000000000} + \frac{741159281374549526906336331902597049404622641}{15258789062500000000000000000000000000000000}\right)\\& = 1 + \frac{70321}{2500000} - \frac{75665569726074121225591765802729726968440121134737761}{305175781250000000000000000000000000000000000000000}\\& = \frac{2570321}{2500000} - \frac{75665569726074121225591765802729726968440121134737761}{305175781250000000000000000000000000000000000000000}\\& = - \frac{75351809838378808725591765802729726968440121134737761}{305175781250000000000000000000000000000000000000000}\end{aligned}\]

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