
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
Mina has a quadratic of the form $x^2 + bx + 27$, where $b$ is a specific positive number. Using her knowledge of how to complete the square, Mina is able to rewrite this quadratic in the form $(x+n)^2 + 3$. Determine the value of $b$.

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