
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. $ \left( \dfrac{64}{27}\right)^{ \frac{1}{3}} +(2 \dfrac{7}{9} )^{0.5}-( \sqrt[3]{ \dfrac{8}{27}} +0.027- \dfrac{1}{3} )^{\frac{1}{2}}$

2. $\log_{3} \sqrt{27} -\log_{3} \sqrt{3} -\lg 25-\lg 4+\ln (e^{2})+2 \dfrac{1}{2}{\log}_{2}4$．

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