Problem:
Find all real solutions to $\sqrt{-11 x-\frac{31}{3}}+\sqrt{\frac{11}{3}-11 x}=6$
Answer:
$\left\{\left\{x\to -\frac{493}{396}\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/sqrt_equations/37493.txt'}