
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
Aureliano writes a list containing five numbers, with the first number being 6 and the last number being 8. The product of the first three numbers is 648, the product of the middle three is 432, and the product of the last three is 288. What is Aureliano's list?

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