
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 universal set \( I = \mathbf{N} \), let \( A = \{ x \mid x = 3n, \frac{n}{2} \in \mathbf{N} \} \) and \( B = \{ y \mid y = m, \frac{24}{m} \in \mathbf{N} \} \). Use the listing method to represent the sets \( A \cap B \) and \( \complement_{I} A \cap B \).

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