
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 three numbers $a$, $b$, $c$ is 195. When the smallest number $a$ is multiplied by 8, the result is $m$. The value $m$ is obtained by subtracting 10 from the largest number $b$. This number $m$ also results by adding 10 to the third number $c$. Find the product of the three numbers.

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