
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 the following expressions:

(1) $(\lg 5)(\lg 8 + \lg 1000) + (\lg 2^{\sqrt{3}})^{2} + \lg \frac{1}{6} + \lg 0.06$

(2) $(2\frac{1}{4})^{\frac{1}{2}} - (-9.6)^{0} - (3\frac{3}{8})^{- \frac{1}{2}} + (1.5)^{- \frac{3}{2}}$

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