
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:  
(1) $16^{0.75}-3^{0.3}\times 3^{1.7}+1.5^{0}$;  
(2) $\log _{4}8-\log_{\frac{1}{9}}3-\log_{\sqrt{2}}4+\left(\frac{1}{2}\right)^{-1+\log_{0.5}4}$.

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