
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
The function $f(x)$ satisfies
\[b^2 f(a) = a^2 f(b)\]
for all real numbers $a$ and $b.$ Let's assume $f(3) \neq 0.$ Find
\[\frac{f(7) - f(3)}{f(3)}.\]

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