Problem:
Find all real solutions to $4^{5 x+10}4^{15 x+12} = 16^{25-13 x}$
Answer:
$\left\{\left\{x\to \frac{14}{23}\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/exponential_equations/16078.txt'}