
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
\[\left(\frac{a}{b} + \frac{b}{a} + 2\right) \cdot \left(\frac{a+b}{2a} - \frac{b}{a+b}\right) \div \left(\left(a + 2b + \frac{b^2}{a}\right) \cdot \left(\frac{a}{a+b} + \frac{b}{a-b}\right)\right);\ a = 0.75,\ b = \frac{4}{3}.\]

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