Problem:
Find all real solutions to $\left| \frac{1}{2}-\frac{53 x}{4}\right| =\frac{23}{2}$
Answer:
$\left\{\left\{x\to -\frac{44}{53}\right\},\left\{x\to \frac{48}{53}\right\}\right\}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/solve_abs_value_equation/4280.txt'}