
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
Let \( a \) and \( b \) be integers such that in the expanded form of \( (x^2 + ax + b)^3 \), the numerical coefficient of \( x^4 \) is 99 and the numerical coefficient of \( x \) is 162. What are the values of \( a \) and \( b \)?

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