
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) $\lg 1000 + \log_{3}42 - \log_{3}14 - \log_{4}8$;  
(2) $( \sqrt {3})^{2} + (-2)^{0} + 3^{-1} + \left( \frac {8}{27} \right)^{ \frac {1}{3}}$.

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