
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) $$(-0.9)^{0}+( \frac {3}{2})^{-2}\cdot (3 \frac {3}{8})^{ \frac {2}{3}}+ \sqrt {(1- \sqrt {2})^{2}}$$
(2) $$log_{3} \sqrt {27}+lg25+lg4-7^{log_{7}2}$$

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