
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
Compute the following expressions:

1. $\left( 1 \right)\left( 0.001 \right)^{-\frac{1}{3}}+27^{\frac{2}{3}}+\left( \frac{1}{4} \right)^{-\frac{1}{2}}-\left( \frac{1}{9} \right)^{-1.5}$

2. $\left( 2 \right)\frac{1}{2}\lg 25+\lg 2-\lg\sqrt{0.1}-\log_{2}9\cdot\log_{3}2.$

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