
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 $(2 \frac {7}{9})^{0.5}+0.1^{-2}+(2 \frac {10}{27})^{- \frac {2}{3}}-3\pi^{0}+ \frac {37}{48}$.
2. Simplify $(2 \sqrt[3]{a^{2}}\cdot \sqrt {b})(-6 \sqrt {a}\cdot \sqrt[3]{b})÷(-3 \sqrt[6]{a}\cdot \sqrt[6]{b^{5}})$.

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