
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
Determine the simplified form of the function $y = \frac{x^3 + 6x^2 + 11x + 6}{x+1}$ and identify the values of $A$, $B$, $C$, and $D$ such that $y = Ax^2 + Bx + C$ is defined everywhere except at $x = D$. What is the sum of $A$, $B$, $C$, and $D$?

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