Problem:
Compute the geometric mean of ${-1, -7776, -100000, -243, 1024, 4096}$.
Answer:
$96 \sqrt[3]{2} 3^{2/3} 5^{5/6}$
{'source': 'AMPS', 'file': 'amps/mathematica/counting_and_statistics/geometric_mean/18924.txt'}