
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
\[
\frac{a^3 - a - 2b - \frac{b^2}{a}}{\left(1 - \sqrt{\frac{1}{a} + \frac{b}{a^2}}\right) \cdot (a + \sqrt{a + b})} : \left( \frac{a^3 + a^2 + ab + a^2 b}{a^2 - b^2} + \frac{b}{a - b} \right)
\]
Given: \( a = 23 \) and \( b = 22 \).

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