(tan(270) + 3^2 + 2^3 + 9(1 + log(2) - sin(90))(4) + 5 × 0.01 ÷ 4 + 100 + 131.48686089 + (log(2) × 8.2 + sin(100) + 80% - 110) - 8.0438487009) - 214.891953403
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MathBot Answer:
\[\tan\left( 270 \right) + {3}^{2} + {2}^{3} + 9 \cdot \left(1 + \log\left( 2 \right) - \sin\left( 90 \right)\right) \cdot 4 + \frac{5 \cdot 0.01}{4} + 100 + 131.48686089 + \log\left( 2 \right) \cdot 8.2 + \sin\left( 100 \right) + 80 \:\%\: \left( -110 \right) - 8.0438487009 - 214.891953403 = - 36 \sin{\left(90 \right)} + \sin{\left(100 \right)} + \tan{\left(270 \right)} + \frac{221 \log{\left(2 \right)}}{5} + \frac{315635587861}{10000000000} \approx 29.3315795723212875931701647979245\]
\[\begin{aligned}\tan\left( 270 \right) + {3}^{2} + {2}^{3} + 9 \cdot \left(1 + \log\left( 2 \right) - \sin\left( 90 \right)\right) \cdot 4 + \frac{5 \cdot 0.01}{4} + 100 + 131.48686089 + \log\left( 2 \right) \cdot 8.2 + \sin\left( 100 \right) + 80 \:\%\: \left( -110 \right) - 8.0438487009 - 214.891953403& = \tan{\left(270 \right)} + 3^{2} + 2^{3} + 9 \cdot \left(1 + \log{\left(2 \right)} - \sin{\left(90 \right)}\right) \cdot 4 + 5 \cdot \frac{1}{100} \cdot \frac{1}{4} + 100 + 131 + \frac{48686089}{100000000} + \log{\left(2 \right)} \cdot \left(8 + \frac{2}{10}\right) + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 2^{3} + 9 \cdot \left(1 + \log{\left(2 \right)} - \sin{\left(90 \right)}\right) \cdot 4 + 5 \cdot \frac{1}{100} \cdot \frac{1}{4} + 100 + 131 + \frac{48686089}{100000000} + \log{\left(2 \right)} \cdot \left(8 + \frac{2}{10}\right) + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + 9 \cdot \left(1 + \log{\left(2 \right)} - \sin{\left(90 \right)}\right) \cdot 4 + 5 \cdot \frac{1}{100} \cdot \frac{1}{4} + 100 + 131 + \frac{48686089}{100000000} + \log{\left(2 \right)} \cdot \left(8 + \frac{2}{10}\right) + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + 9 \cdot \left(\left(1 + \log{\left(2 \right)}\right) - \sin{\left(90 \right)}\right) \cdot 4 + 5 \cdot \frac{1}{100} \cdot \frac{1}{4} + 100 + 131 + \frac{48686089}{100000000} + \log{\left(2 \right)} \cdot \left(8 + \frac{2}{10}\right) + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + 9 \cdot \left(1 - \sin{\left(90 \right)} + \log{\left(2 \right)}\right) \cdot 4 + 5 \cdot \frac{1}{100} \cdot \frac{1}{4} + 100 + 131 + \frac{48686089}{100000000} + \log{\left(2 \right)} \cdot \left(8 + \frac{2}{10}\right) + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + \left(9 - 9 \cdot \sin{\left(90 \right)} + 9 \cdot \log{\left(2 \right)}\right) \cdot 4 + 5 \cdot \frac{1}{100} \cdot \frac{1}{4} + 100 + 131 + \frac{48686089}{100000000} + \log{\left(2 \right)} \cdot \left(8 + \frac{2}{10}\right) + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + \left(36 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)}\right) + 5 \cdot \frac{1}{100} \cdot \frac{1}{4} + 100 + 131 + \frac{48686089}{100000000} + \log{\left(2 \right)} \cdot \left(8 + \frac{2}{10}\right) + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + \left(36 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)}\right) + 5 \cdot \frac{1}{400} + 100 + 131 + \frac{48686089}{100000000} + \log{\left(2 \right)} \cdot \left(8 + \frac{2}{10}\right) + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + \left(36 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)}\right) + \frac{5}{400} + 100 + 131 + \frac{48686089}{100000000} + \log{\left(2 \right)} \cdot \left(8 + \frac{2}{10}\right) + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + \left(36 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)}\right) + \frac{1}{80} + 100 + 131 + \frac{48686089}{100000000} + \log{\left(2 \right)} \cdot \left(8 + \frac{2}{10}\right) + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + \left(36 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)}\right) + \frac{1}{80} + 100 + 131 + \frac{48686089}{100000000} + \log{\left(2 \right)} \cdot \left(8 + \frac{1}{5}\right) + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + \left(36 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)}\right) + \frac{1}{80} + 100 + 131 + \frac{48686089}{100000000} + \log{\left(2 \right)} \cdot \frac{41}{5} + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + \left(36 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)}\right) + \frac{1}{80} + 100 + 131 + \frac{48686089}{100000000} + \frac{41}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} + \left(80 \:\%\: \left(-110\right)\right) - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + \left(36 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)}\right) + \frac{1}{80} + 100 + 131 + \frac{48686089}{100000000} + \frac{41}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} - 30 - \left(8 + \frac{438487009}{10000000000}\right) - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + \left(36 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)}\right) + \frac{1}{80} + 100 + 131 + \frac{48686089}{100000000} + \frac{41}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} - 30 - \frac{80438487009}{10000000000} - \left(214 + \frac{891953403}{1000000000}\right)\\& = \tan{\left(270 \right)} + 9 + 8 + \left(36 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)}\right) + \frac{1}{80} + 100 + 131 + \frac{48686089}{100000000} + \frac{41}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} - 30 - \frac{80438487009}{10000000000} - \frac{214891953403}{1000000000}\\& = \left(9 + \tan{\left(270 \right)}\right) + 8 + \left(36 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)}\right) + \frac{1}{80} + 100 + 131 + \frac{48686089}{100000000} + \frac{41}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} - 30 - \frac{80438487009}{10000000000} - \frac{214891953403}{1000000000}\\& = \left(17 + \tan{\left(270 \right)}\right) + \left(36 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)}\right) + \frac{1}{80} + 100 + 131 + \frac{48686089}{100000000} + \frac{41}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} - 30 - \frac{80438487009}{10000000000} - \frac{214891953403}{1000000000}\\& = \left(53 - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)} + \tan{\left(270 \right)}\right) + \frac{1}{80} + 100 + 131 + \frac{48686089}{100000000} + \frac{41}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} - 30 - \frac{80438487009}{10000000000} - \frac{214891953403}{1000000000}\\& = \left(\frac{4241}{80} - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)} + \tan{\left(270 \right)}\right) + 100 + 131 + \frac{48686089}{100000000} + \frac{41}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} - 30 - \frac{80438487009}{10000000000} - \frac{214891953403}{1000000000}\\& = \left(\frac{12241}{80} - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)} + \tan{\left(270 \right)}\right) + 131 + \frac{48686089}{100000000} + \frac{41}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} - 30 - \frac{80438487009}{10000000000} - \frac{214891953403}{1000000000}\\& = \left(\frac{22721}{80} - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)} + \tan{\left(270 \right)}\right) + \frac{48686089}{100000000} + \frac{41}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} - 30 - \frac{80438487009}{10000000000} - \frac{214891953403}{1000000000}\\& = \left(\frac{28449936089}{100000000} - 36 \cdot \sin{\left(90 \right)} + 36 \cdot \log{\left(2 \right)} + \tan{\left(270 \right)}\right) + \frac{41}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} - 30 - \frac{80438487009}{10000000000} - \frac{214891953403}{1000000000}\\& = \left(\frac{28449936089}{100000000} - 36 \cdot \sin{\left(90 \right)} + \frac{221}{5} \cdot \log{\left(2 \right)} + \tan{\left(270 \right)}\right) + \sin{\left(100 \right)} - 30 - \frac{80438487009}{10000000000} - \frac{214891953403}{1000000000}\\& = \left(\frac{28449936089}{100000000} - 36 \cdot \sin{\left(90 \right)} + \frac{221}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} + \tan{\left(270 \right)}\right) - 30 - \frac{80438487009}{10000000000} - \frac{214891953403}{1000000000}\\& = \left(\frac{25449936089}{100000000} - 36 \cdot \sin{\left(90 \right)} + \frac{221}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} + \tan{\left(270 \right)}\right) - \frac{80438487009}{10000000000} - \frac{214891953403}{1000000000}\\& = \left(\frac{2464555121891}{10000000000} - 36 \cdot \sin{\left(90 \right)} + \frac{221}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} + \tan{\left(270 \right)}\right) - \frac{214891953403}{1000000000}\\& = \frac{315635587861}{10000000000} - 36 \cdot \sin{\left(90 \right)} + \frac{221}{5} \cdot \log{\left(2 \right)} + \sin{\left(100 \right)} + \tan{\left(270 \right)}\end{aligned}\]
The notation \(m \% n\) denotes the remainder of the integer \(m\) divided by the integer \(n\). \(m \% n = r\) means that given integers \(m\) and \(n\), where \(n\) is non-zero, there exist integers \(q\) and \(r\), where \(\lvert r \rvert < \lvert n \rvert\), such that \(m = q n + r\). MathBot adopts the convention that the remainder \(r\) and the divisor \(n\) share the same sign. Alternate notations for \(m \% n\) are \(\operatorname{mod}(m, n)\) and \(m \bmod n\).