
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 the digits 1, 2, 3, 4, 5, form a five-digit number $\overline{P Q R S T}$ without repeating digits, such that $\overline{P Q R}$ is divisible by 4, $\overline{Q R S}$ is divisible by 5, and $\overline{R S T}$ is divisible by 3. Determine the value of $P$.

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