
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
In her first $10$ basketball games, Rachel scored $9, 5, 7, 4, 8, 6, 2, 3, 5,$ and $6$ points. In her next game, she scored fewer than $10$ points and her points-per-game average for these $11$ games was an integer. In the following game, she again scored fewer than $10$ points and her average for the $12$ games was also an integer. What is the product of the points she scored in the eleventh and twelfth games?
A) 0
B) 6
C) 10
D) 15
E) 20

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