
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 Grand Old Duke of York had 10,000 men. He lost 10% of them on the way to the top of the hill, and he lost 15% of the rest as he marched them back down the hill. What percentage of the 10,000 men were still there when they reached the bottom of the hill? 

A) \(76 \frac{1}{2} \%\) 
B) \(75 \%\) 
C) \(73 \frac{1}{2} \%\) 
D) \(66 \frac{2}{3} \%\) 
E) \(25 \%\)

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