
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 \( A = \{|a+1|, 3, 5\} \) and \( B = \{2a + 1, a^{2a + 2}, a^2 + 2a - 1\} \), if \( A \cap B = \{2, 3\} \), find \( A \cup B \).

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