
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
Simplify the expression \(1.16 \frac{x^{2}+4x-5+(x-5) \sqrt{x^{2}-1}}{x^{2}-4x-5+(x+5) \sqrt{x^{2}-1}}, x>1\).

Simplify the expression \(9b^{\frac{4}{3}} - \frac{a^{\frac{3}{2}}}{b^{2}}\).

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