
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
John wants to enclose a rectangular garden such that its area is at least 120 sq. ft. The garden's length must be 20 ft longer than its width. Determine the minimum width of the garden.

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