
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
Observe the following equations: $5^2-1=24$, $7^2-1=48$, $11^2-1=120$, $13^2-1=168$..., the results are all multiples of 24. By analogy: $\forall n \in \mathbb{N}^*$, ____ is a multiple of 24. (Fill in the blank with an appropriate algebraic expression about $n$)

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