
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 Jeremy's first 5 soccer matches, he scored 2, 1, 3, 2, and 5 goals. In his sixth match, he scored fewer than 10 goals and his goals-per-game average for the six matches was an integer. Similarly, in his seventh match, he scored fewer than 10 goals and his goals-per-game average for all seven matches was also an integer. What is the product of the number of goals he scored in the sixth and seventh matches?
A) 9
B) 12
C) 15
D) 18
E) 21

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