
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 bee, $66\%$ of the students were eliminated after the first round. Only $\frac{3}{4}$ of the remaining students were eliminated after the second round. If 30 students were still in the contest after the second round, how many students began the contest?

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