
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 the sixth, seventh, eighth, and ninth basketball games of a season, a player scored $25$, $14$, $15$, and $22$ points, respectively. After nine games, her points-per-game average was higher than the average after the first five games, which was between $16$ and $17$ points. If her average after ten games needs to be at least $20$ points, what is the least number of points she could have scored in the tenth game?

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