
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 Grand City Maternity Hospital, the statistics for various multiple-births were as follows: Sets of twins, triplets, quadruplets, and quintuplets accounted for $1540$ of the babies born. There were six times as many sets of triplets as sets of quintuplets, twice as many sets of twins as sets of triplets, and three times as many sets of quadruplets as sets of quintuplets. How many of these $1540$ babies were in sets of quintuplets?
A) $\frac{7700}{59}$
B) $\frac{7740}{59}$
C) $\frac{7800}{59}$
D) $\frac{7860}{59}$

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