
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 first, then evaluate: $\left(\dfrac{a^{2}+1}{a}-2\right)\div \dfrac{\left(a+2\right)\left(a-1\right)}{a^{2}+2a}$, where $-2\leqslant a\leqslant 2$. Choose an integer you like and substitute it to find the value.

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