
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
At a certain school, $40$ students participated in a national math competition. Their scores were divided into $6$ groups, with frequencies of $10$, $5$, $7$, and $6$ for the first through fourth groups, respectively. The frequency of the fifth group is $0.20$. What is the frequency of the sixth group?

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