
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
Noelle needs to earn 30 homework points under the following conditions: for each of the first 5 points, she must do one homework assignment; for the next 10 points, she needs to do two homework assignments; and for each subsequent point, she needs to do 3 assignments per point. How many homework assignments does she need to complete to earn all 30 points?

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