
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
Divide 60 pounds of bread among 5 people so that each person's share forms an arithmetic sequence, and half of the sum of the larger two shares is equal to the sum of the smaller three shares. What is the smallest share (in pounds)?

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