
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. Simplify: $\left(4 \sqrt{x}\right)^{\frac{1}{2}} \times \left(-3x^{\frac{1}{4}}y^{-\frac{1}{3}}\right) \div \left(6x^{-\frac{1}{2}}y^{-\frac{4}{3}}\right)$.

2. Calculate: ${\log_2}\sqrt{8}+{\log_2}5 \cdot {\log_5}2+{e^{\ln 3}}-{\left(\frac{8}{27}\right)^{-\frac{1}{3}}}$.

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