
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
Consider the polynomial equation $6x^3 + 5x^2 - x + 14 = 0$. It is known that among its roots, there are complex numbers of the form $x = p \pm qi,$ where $p$ and $q$ are real numbers. Find the value of $p + q^2$.

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