
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
(1) $\sqrt{\frac{25}{9}} - \left(\frac{8}{27}\right)^{\frac{1}{3}} - (\pi + e)^0 + \left(\frac{1}{4}\right)^{-\frac{1}{2}}$
(2) $\frac{\log 8 + \log 125 + \log 2 + \log 5}{\log \sqrt{10} \log 0.1}$

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