
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 $\frac{2a+2}{a}\div \frac{4}{{a}^{2}}-\frac{a}{a+1}$ first, then choose an integer $a$ that you like within the range of $-2 \lt a \lt 2$ to substitute and evaluate.

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