
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 total sum of three numbers $x$, $y$, $z$ is 120. When the smallest number $x$ is multiplied by 5, the result is $m$. This value $m$ can be obtained by subtracting 12 from the largest number $y$, and adding 12 to the third number $z$. Find the product of these three numbers.

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