
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
Calculate: (1) $(\sqrt[3]{1.5} \times \sqrt[6]{12})^{2} + 8{1}^{0.75} - (-\frac{1}{4})^{-2} - 5 \times 0.12{5}^{0}$; (2) $\lg 25 + \lg 2 \cdot \lg 50 + (\lg 2)^{2} - e^{3\ln 2}$.

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