
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 the value of the following expressions:
\\((1)(2 \frac{1}{4})^{\frac{1}{2}} - (-9.6)^{0} - (3 \frac{3}{8})^{\frac{2}{3}} + (1.5)^{2} + (\sqrt{2} \times 43)^{4}\\)
\\((2) \frac{1g \sqrt{27} + 1g8 - 1g \sqrt{1000}}{\frac{1}{2}1g0.3 + 1g2} + (\sqrt{5} - 2)^{0} + 0.027^{-\frac{1}{3}} \times (-\frac{1}{3})^{-2}\\)

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