
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
Compute the following expressions:
1. $(\text{I})(- \frac {27}{8})^{-\frac {2}{3}}+(0.002)^{-\frac {1}{2}}-10( \sqrt {5}-2)^{-1}+( \sqrt {2}- \sqrt {3})^{0}$
2. $(\text{II})\frac {1}{2}\log_{10} \frac {32}{49}-\frac {4}{3}\log_{10} \sqrt {8}+\log_{10} \sqrt {245}$.

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