
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
Alice, Bob, Clara, David, Eve, Felipe, Grace, and Holly are in a science club. They split into teams where each team has an equal number of participants, and each participant has the same number of partners within these teams. Given these constraints, determine the number of possible team configurations if no team can be the same as another.
A) 105
B) 140
C) 175
D) 250
E) 315

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