
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 values of $A$, $B$, $C$, and $D$ for the function $y=\frac{x^3+4x^2+5x+2}{x+1}$ so that it can be expressed as $y=Ax^2+Bx+C$, and is defined everywhere except at $x=D$.

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