
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 expression: $(2\frac{1}{4})^{\frac{1}{2}} + (-3.8)^0 - \sqrt{3} \times (\frac{3}{2})^{\frac{1}{3}} \times \sqrt[6]{12}$
2. Calculate the expression: $2\log_32 - \log_3\frac{32}{9} + \log_38 - \log_29 \cdot \log_32$

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