
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
Calculate the value of the following expressions:  
(I) $(\dfrac{1}{4})^{-\frac{1}{2}} + \sqrt[3]{8^2} - 625^{\frac{1}{4}}$;  
(II) $(\log_{2}125 + \log_{4}25 + \log_{8}5)(\log_{5}2 + \log_{25}4 + \log_{125}8)$.

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