
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
$(1)(2 \frac{1}{4})^{ \frac{1}{2}}-(-9.6)^{0}-( \frac{8}{27})^{ \frac{2}{3}}+( \frac{3}{2})^{-2}$;  
$(2)\log _{3} \frac{ \sqrt[4]{27}}{3}+\log 25+\log 4+7^{\log _{7}2}$.

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