
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
Find the value of the following expressions without using a calculator:
1. (2 $\frac {1}{4}$)$^{ \frac {1}{2}}$ - (-9.6)$^0$ - (3 $\frac {3}{8}$)$^{- \frac {2}{3}}$ + (1.5)$^{-2}$
2. $\log_3 \frac {\sqrt[4]{27}}{3}$ + $\lg25$ + $\lg4$ + $\log_225 \cdot \log_38 \cdot \log_59$

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