
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 without using a calculator:
$$2 \log_{3}2 - \log_{3} \frac {32}{9} + \log_{3}8 - 5^{\log_{5}3}$$
2. If $f\left(x - \frac {1}{x}\right) = \left(x + \frac {1}{x}\right)^2$, find $f(x + 1)$.

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