
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 teacher bought a total of 53 pencils and distributed them among four students \( A \), \( B \), \( C \), and \( D \). The difference between the maximum and minimum number of pencils received by the students is not more than 5 pencils. If \( B \) gives all their pencils to \( A \), then the number of pencils \( A \) has is twice the number of pencils \( C \) has. If \( B \) gives all their pencils to \( C \), then the number of pencils \( C \) has is twice the number of pencils \( D \) has. Determine how many pencils \( B \) received.

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