
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 following expression: \(0.027^{\frac{1}{3}} - (-\frac{1}{7})^{-2} + 256^{\frac{3}{4}} - 3^{-1} + (\sqrt{2} - 1)^0 - (\log_6{2} + \log_6{3})\).

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