
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 a spelling contest, $40\%$ of the students were eliminated in the first round. Of the remaining students, $\frac{1}{4}$ continued to the third round after the second round. If 30 students made it to the third round, how many students originally participated in the contest?

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