
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 sixth to tenth soccer games of the season, a player scored 18, 25, 15, and 22 points respectively in the first four of these games. Her points-per-game average was higher after ten games than it was after the first six games. If her average after ten games was greater than $20$, what is the least number of points she could have scored in the tenth game?
A) 11
B) 12
C) 13
D) 14
E) 15

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