
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:  
(I) $(\dfrac{25}{9})^{0.5}+(\dfrac{27}{64})^{-\frac{2}{3}}+(0.1)^{-2}-100\cdot\pi^{0}$;  
(II) $\lg \dfrac{1}{2}-\lg \dfrac{5}{8}+\lg 12.5-\log_{8}9\cdot\log_{27}8+e^{2\ln 2}$.

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