
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) $$(2+ \frac {10}{27})^{- \frac {2}{3}}+2log_{3}2-log_{3} \frac {4}{9}-5^{log_{25}9}$$

(2) $$\frac {sin(3π-α)\cdot sin( \frac {π}{2}+α)}{2cos( \frac {π}{6}-2α)-2cos2αsin \frac {π}{3}}$$

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