
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 $x$, $y$, $z$ is 200. When the smallest number $x$ is multiplied by 8, the result is $n$. The value $n$ is obtained by subtracting 5 from the largest number $y$. This number $n$ also results by adding 5 to the third number $z$. What is the product of the three numbers?

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