
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 then evaluate the expression: $$\left( \frac{a-2}{a^{2}+2a} - \frac{a-1}{a^{2}+4a+4} \right) \div \frac{a-4}{a+2}$$, where $a$ satisfies $a^{2}+2a-1=0$.

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