Problem:
Find all real solutions to $\sqrt{6 x-1}+\sqrt{12 x+9}=7$
Answer:
$\left\{\left\{x\to \frac{1}{6} \left(137-14 \sqrt{87}\right)\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/sqrt_equations/24974.txt'}