
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:
(I) $\left(- \frac{27}{8}\right)^{- \frac{2}{3}} + (0.002)^{- \frac{1}{2}} - 10(\sqrt{5} - 2)^{-1} + (\sqrt{2} - \sqrt{3})^{0}$

(II) $\frac{1}{2}\lg \frac{32}{49} - \frac{4}{3}\lg \sqrt{8} + \lg \sqrt{245}$.

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