
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. Evaluate: log<sub>2</sub>(log<sub>2</sub>32 - log<sub>2</sub> $$\frac {3}{4}$$ + log<sub>2</sub>6)
2. Simplify: $$\frac {5x^{- \frac {2}{3}}y^{ \frac {1}{2}}}{(- \frac {1}{2}x^{-1}y^{ \frac {1}{2}})(- \frac {5}{3}x^{ \frac {1}{3}}y^{- \frac {1}{6}})}$$ × $$3 \frac {x^{2}}{y}$$

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