
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
Evaluate the following expressions:
1. \( (3 \sqrt{27} - 2 \sqrt{12}) \cdot \left(2 \sqrt{5 \frac{1}{3}} + 3 \sqrt{8 \frac{1}{3}}\right) \)
2. \( \frac{5 \sqrt{21} - 3 \sqrt{15}}{5 \sqrt{2 \frac{2}{3}} - 3 \sqrt{1 \frac{2}{3}}} \)

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