
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
If a player scored $15$, $22$, and $18$ points in the eighth, ninth, and tenth basketball games, respectively, and her average points per game after ten games is greater than her average after the first seven games. In addition, her average points per game after eleven games was greater than $20$, determine the least number of points she could have scored in the eleventh game.

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