
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 $a, b, c, d$ be real numbers. Suppose all the roots of $x^4 + ax^3 + bx^2 + cx + d = 0$ are real numbers. Calculate the sum of double of each root.
A) $-2a$
B) $2a$
C) $-2b$
D) $2b$

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