
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
Petya came up with the reduced quadratic equation \(x^{2} + px + q\), whose roots are \(x_{1}\) and \(x_{2}\). He informed Vasya of three out of the four numbers \(p, q, x_{1}, x_{2}\) without specifying which is which. These numbers turned out to be \(1, 2, -6\). What was the fourth number?

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