Problem:
Solve the following system of three equations: 
$\frac{29 x}{2}+\frac{y}{2}+\frac{37 z}{4}-\frac{47}{4}=0$, $-\frac{11 x}{2}+17 y+\frac{39 z}{2}-14=0$, $-\frac{45 x}{4}+\frac{45 y}{4}-22 z-\frac{15}{2}=0$
Answer:
$x=\frac{206961}{242477}$, $y=\frac{304343}{242477}$, $z=-\frac{32865}{242477}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/system_of_equations/35057.txt'}