
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) $0.25 \times \left( \frac{1}{2} \right)^{-4} - 4 \div \left( \sqrt{5} - 1 \right)^{0} - \left( \frac{1}{16} \right)^{-\frac{1}{2}}$;  
(2) $\lg 25 + \lg 2 \cdot \lg 50 + (\lg 2)^2$.

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