
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
The Rhind Papyrus is one of the oldest known mathematical writings in the world. It contains the following problem: Divide 10 pounds of bread among 5 people in such a way that the amounts they receive form an arithmetic sequence and the sum of the larger three portions is $\frac{1}{7}$ of the sum of the smaller two portions. What is the smallest portion?

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