
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
On a $12$-hour clock, an elapsed time of three hours is clock equivalent to an elapsed time of $27$ hours. Because of this, we can say that three hours is "clock equivalent'' to its cubic number of hours. What is the least whole number of hours that is greater than $3$ and is "clock equivalent'' to its cubic number of hours?

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