
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]


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Suppose \( f \) is a function and \( f^{-1} \) is its inverse. Given that \( f(4) = 6 \), \( f(6) = 3 \), and \( f(3) = 7 \), evaluate \( f^{-1}\left(f^{-1}(7) + f^{-1}(6)\right) \).

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