
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
Simplify and evaluate the following expressions:

(1) $\log_{3}27+\lg \frac {1}{100}+\ln \sqrt {e}+2^{-1+\log_{2}3}$

(2) $(-\frac {1}{27})^{-\frac {1}{3}}+(\log_{3}16)\cdot(\log_{2} \frac {1}{9})$

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