
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
Calculation Questions  
(1) $$(0.25)^{\frac{1}{2}} - [-2 \times (\frac{3}{7})^{0}]^{2} \times [(-2)^{3}]^{\frac{4}{3}} + (\sqrt{2} - 1)^{-1} - 2^{\frac{1}{2}}$$  
(2) $$(\lg5)^{2} + \lg2 \times \lg50.$$

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