
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
A student needs to earn 30 homework points. For the first four homework points, the student needs 2 assignments each; for the next four points, 3 assignments each; and so on, such that for each additional set of four points, the number of assignments increases by one. For example, to earn from 17 to 20 points, each point would require 6 assignments. How many homework assignments are necessary in total to earn 30 homework points?

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