
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) $$27^{ \frac {1}{3}}-(- \frac {1}{2})^{-2}+( \frac {1}{16})^{- \frac {1}{4}}+(\sqrt {2}-1)^{0}$$  
(2) $\text{lg}8+\text{lg}125-\text{lg}2-\text{lg}5$．

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