
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
Evaluate:

(1) $$2 \sqrt {3}× \sqrt[6]{12}× 3 \frac {3}{2}$$

(2) $$\frac {1}{2}lg25+lg2+ln \sqrt {e}-log_{2}27×log_{3}2-7^{log_{7}3}$$

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