
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
Let \( a, b, \) and \( c \) be distinct real numbers and \( D \) be any constant. Simplify the expression
\[
\frac{(x + a)^2 + D}{(a - b)(a - c)} + \frac{(x + b)^2 + D}{(b - a)(b - c)} + \frac{(x + c)^2 + D}{(c - a)(c - b)}.
\]

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