
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) $$4(3-\pi)^4 + (0.008)^{-\frac{1}{3}} - (0.25)^{\frac{1}{2}} \times \left(\frac{1}{\sqrt{2}}\right)^{-4}$$;
(2) $$\frac{1}{2}\lg\frac{32}{49} - \frac{4}{3}\lg\sqrt{8} + \lg\sqrt{245} + 2^{1+\log_2{3}}$$.

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