
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 values of the following expressions:  
$(1){(\frac{9}{4})}^{\frac{1}{2}}-{(-9.6)}^{0}-{(\frac{27}{8})}^{-\frac{2}{3}}+{(\frac{3}{2})}^{-2}$;  
$(2)(\log_{4}3+\log_{8}3)(\log_{3}2+\log_{9}2)+\log_{3}\sqrt[4]{27}-{2}^{\log_{2}5}$.

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