
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
Simplify and evaluate the expressions:  
(1) $2 \sqrt {3} \times \sqrt[3]{1.5} \times \sqrt[6]{12} \times \sqrt {(3-\pi)^{2}}$;  
(2) $\lg 25 + \frac {2}{3} \lg 8 + \lg 5 \cdot \lg 20 + (\lg 2)^{2}$.

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