Problem:
Simplify the following expression $\left(-5 \left(\cos \left(\frac{89}{90}\right)+i \sin \left(\frac{89}{90}\right)\right)\right)^3$
Answer:
$-125 \left(\cos \left(\frac{89}{30}\right)+i \sin \left(\frac{89}{30}\right)\right)$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/complex_raised_to_exponent/47132.txt'}