
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 revises her strategy: For the first seven homework points Noelle wants to earn, she needs to do one homework assignment for each point; for the next seven points, she needs to do two homework assignments for each point; and so on, such that for every subsequent group of seven points, the number of homework assignments per point increases by one. Calculate the minimum number of homework assignments Noelle needs to complete to earn a total of 28 homework points.

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