
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
The sum of four numbers is 36. The first is three times the sum of the other three. The second is five times the third. The fourth is equal to half of the third. Calculate the product of all four numbers.

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