
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 Linda's first 7 basketball games, she scored 5, 6, 4, 7, 3, 2, and 6 points. In her eighth game, she scored fewer than 10 points and her points-per-game average for these eight games was an integer. Similarly, in her ninth game, she scored fewer than 10 points and her points-per-game average for the 9 games was also an integer. What is the product of the number of points she scored in the eighth and ninth games?
A) 30
B) 35
C) 36
D) 40
E) 45

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