
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. $\sqrt{9+27}$  
2. $\sqrt{6\frac{1}{4}}$  
3. $\sqrt{25} \times \sqrt[3]{-27} \div \sqrt{9}$  
4. $|\sqrt{3}-2| + \sqrt{3}$

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