
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) $0.027^{- \frac {1}{3}} - (-\frac {1}{7})^{-2} + 256^{ \frac {3}{4}} - 3^{-1} + (\sqrt {2} - 1)^{0}$;  
(2) $\frac {lg8 + lg125 - lg2 - lg5}{lg \sqrt {10} \cdot lg0.1}$.

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