
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 sets \( A = \{2, 4, x^3 - 2x^2 - x + 7\} \) and \( B = \{-4, y + 3, y^2 - 2y + 2, y^3 + y^2 + 3y + 7\} \), and the information that \( A \cap B = \{2, 5\} \), find \( A \cup B \).

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