Problem:
Find the greatest common divisor of $\frac{15 x^4}{2}+\frac{25 x^3}{4}-\frac{9 x^2}{2}+\frac{15 x}{4}+\frac{25}{4}$ and $-\frac{5 x^3}{2}+\frac{3 x}{2}-\frac{5}{2}$.
Answer:
$\frac{5 x^3}{4}-\frac{3 x}{4}+\frac{5}{4}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/polynomial_gcd/4120.txt'}