
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
What is the difference between the sum of the first \( 1000 \) even integers and the sum of those first \( 1000 \) odd integers which are not divisible by \( 5 \)?
A) 4000
B) 50000
C) 51000
D) 52000

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