
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
Samantha has a quadratic of the form \( x^2 + bx + \frac{1}{5} \), where \( b \) is a specific negative number. Using her knowledge of how to complete the square, she is able to rewrite this quadratic in the form \( (x+n)^2 + \frac{1}{20} \). What is \( b \)?

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