
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 a certain value of $N$, when $(a+b+c+d+e+1)^N$ is expanded and like terms are combined, the resulting expression contains exactly $2002$ terms that include all five variables $a, b, c, d, e$, each to some positive power. What is $N$?
A) 14
B) 15
C) 16
D) 17
E) 18

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