
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
Points \( Q \) and \( R \) are located on the sides \( MN \) and \( MP \) of triangle \( MNP \), respectively, where \( MQ = 3 \) and \( MR = 4 \). Find the area of triangle \( MQR \), given \( MN = 4 \), \( MP = 5 \), and \( NP = 6 \).

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