
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 $f(x- \frac {1}{x})=(x+ \frac {1}{x})^{2}$, find $f(x+1)$.

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