
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
Betty goes to the store to get flour, sugar, and oats. The amount of flour she buys, in pounds, is at least 4 pounds more than twice the amount of sugar, and is no more than three times the amount of sugar. Additionally, the amount of oats she buys is equal to the sum of the amount of flour and sugar. Find the least number of pounds of sugar that Betty could buy.

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