
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
(1) Evaluate: $3(-2)^{3}-\left(\frac{1}{2}\right)^{0}+0.25^{\frac{1}{2}}\times \left(\frac{1}{\sqrt{2}}\right)^{-4}$.
(2) Evaluate: $\left(\lg 2\right)^{2}+\lg 5\cdot \lg 20+\lg 100+\lg \frac{1}{6}+\lg 0.006$.

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