
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
Simplify and evaluate:
$(1) 4( \sqrt {3}-2)^{4} - (0.25)^{\frac {1}{2}}\times(\frac {1}{\sqrt {2}})^{-4}$;
$(2) \frac {1}{2}\lg 25 + \lg 2 - \lg 0.1$.

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