
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
On the side \( AB \) of parallelogram \( ABCD \), point \( P \) is taken, and on the side \( BC \), point \( Q \) is taken such that \( 3 AB = 7 BP \) and \( 3 BC = 4 BQ \). Find the ratio \( DO : OP \), where point \( O \) is the intersection of the segments \( AQ \) and \( DP \).

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