
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) $(0.027)^{\frac{1}{3}} - (6\frac{1}{4})^{\frac{1}{2}} + \pi^0 - 3^{-1}$;  
(2) $2\log_{6}2 + \log_{6}9 - \log_{3}\frac{1}{9} - 8^{\frac{4}{3}}$.

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