
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
Given positive integers \( x_1, x_2, x_3, x_4, x_5 \) satisfying
\[
x_1 + x_2 + x_3 + x_4 + x_5 = x_1 x_2 x_3 x_4 x_5,
\]
find the maximum value of \( x_5 \).

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