
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
Simplify and evaluate:

(1) $$( \frac {8}{27})^{ \frac {2}{3}}+(0.008)^{- \frac {2}{3}}× \frac {2}{25}$$

(2) $$125^{ \frac {2}{3}}+( \frac {1}{2})^{-2}-( \frac {1}{27})^{- \frac {1}{3}}+100^{ \frac {1}{2}}+ \frac {lg3+ \frac {1}{4}lg9-lg \sqrt {3}}{lg81-lg27}$$

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