
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 $(1)\log _{2}24+ \lg \frac {1}{2}- \log _{3} \sqrt {27}+ \lg 2- \log _{2}3$
$(2)( 33 \times \sqrt {2})^{6}-( \frac {1}{9})^{- \frac {3}{2}}-(-8)^{0}$．

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