
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
For all integers $n$ greater than 1, define $a_n = \frac{1}{\log_n 1001}$. Let $d = a_2 + a_3 + a_4 + a_5$ and $e = a_{10} + a_{11} + a_{12} + a_{13} + a_{14}$. Find $d - e.$

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