
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's math teacher has modified the homework policy. Now, to earn each of the first 7 homework points, she only needs to do one homework assignment for each point. For the next 7 points, she must do two homework assignments for each point, and so on; in this way, to earn the $n^\text{th}$ point, Noelle must do $\lceil n/7 \rceil$ homework assignments. How many homework assignments must Noelle complete to earn a total of 28 homework points?

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