
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 the following expressions:
1. $(1)(0.25)^{\frac{1}{2}} - [-2 \times (\frac{3}{7})^0]^2 \times [(-2)^3]^{\frac{4}{3}} + (\sqrt{2} - 1)^{-1} - 2^{\frac{1}{2}}$
2. $(\log_5 5)^2 + \log_2 \times \log_50$

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