
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) $\log_{2} \sqrt{\frac{7}{48}} + \log_{2}12 - \frac{1}{2}\log_{2}42$  
(2) $3(-2)^{3} - \left(\frac{1}{3}\right)^{0} + 0.25^{\frac{1}{2}} \times \left(\frac{-1}{\sqrt{2}}\right)^{-4}$．

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