
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Suppose that $x$ and $y$ are nonzero real numbers such that $\frac{5x+2y}{x-5y} = -3$. Determine the value of $\frac{x+5y}{5x-y}$.
A) $-\frac{5}{7}$
B) $\frac{51}{55}$
C) $\frac{53}{57}$
D) $\frac{5}{8}$
E) $\frac{57}{53}$

Present the answer in LaTex format: \boxed{Your answer}
user