
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
Given the function \(g(x)\) defined by the equation
\[d^2 g(c) = c^2 g(d)\] for all real numbers \(c\) and \(d.\) Assuming \(g(3) \neq 0,\) determine
\[\frac{g(6) + g(2)}{g(3)}.\]

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