
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
1. Calculate: $2\log _{3}2-\log _{3} \frac {32}{9}+\log _{3}8-25\;^{\log _{5}3}-(2 \frac {10}{27})^{- \frac {2}{3}}+8π^{0}$
2. Given $x=27$, $y=64$. Simplify and calculate: $\frac {5x^{- \frac {2}{3}}y^{ \frac {1}{2}}}{(- \frac {1}{4}x^{-1}y^{ \frac {1}{2}})(- \frac {5}{6}x^{ \frac {1}{3}}y^{- \frac {1}{6}})}$

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