
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 \( g \) is a function and \( g^{-1} \) is the inverse of \( g \). If \( g(4) = 7 \), \( g(6) = 3 \), and \( g(1) = 6 \), evaluate \( g^{-1}\left(g^{-1}(6) + g^{-1}(3)\right) \).

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