
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
A function \( f \) satisfies \( y^{3} f(x) = x^{3} f(y) \) and \( f(3) \neq 0 \). What is the value of \( \frac{f(20) - f(2)}{f(3)} \)?  
A) 6  
B) 20  
C) 216  
D) 296  
E) 2023

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