
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 sets \( P=\left\{m^{2}-4, m+1,-3\right\} \) and \( Q=\{m-3, 2m-1, 3m+1\} \), if \( P \cap Q = \{-3\} \), find the value of the real number \( m \).

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