
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
Call a 7-digit telephone number $d_1d_2d_3-d_4d_5d_6d_7$ notable if the sequence $d_1d_2d_3$ forms a palindrome with the sequence $d_5d_6d_7$ when viewed as one number (e.g., $123-4567$ is notable if $12321$ and $76567$ are both palindromes), and the sum of digits $d_4d_5d_6$ equals 15. Assuming that each $d_i$ can be any of the ten decimal digits (0 through 9), find the number of different notable telephone numbers.
A) 2,500
B) 2,600
C) 2,700
D) 2,800
E) 3,000

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