
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
Given that Theresa scored 10 points in her first 6 basketball games, and her total points after the 7th game was an integer average, and her total points after the 8th game was an integer average, determine the product of the number of points she scored in the seventh and eighth games.

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