
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
(1) Calculate the value of $(2 \frac{1}{4})^{\frac{1}{2}} - (-9.6)^0 - (3 \frac{3}{8})^{\frac{2}{3}} + (1.5)^2 + (\sqrt{2} \times 43)^4$.
(2) Find the value of $\frac{\log \sqrt{27} + \log 8 - \log \sqrt{1000}}{\frac{1}{2}\log 0.3 + \log 2} + (\sqrt{5}-2)^0 + 0.027^{-\frac{1}{3}} \times \left(-\frac{1}{3}\right)^{-2}$.

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