
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
A quadratic polynomial $q(x)$ with real coefficients is called **respectful** if it can be expressed as $q(x) = x^2 + ax + b$. This polynomial is uniquely defined such that $q(q(x)) = 0$ has exactly four real roots. What is $q(-1)$ for the polynomial $q(x)$ which minimizes the absolute value of $q(-1)$?
**A)** 0
**B)** -1
**C)** 1
**D)** 2

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