This is the 8815th most frequent Russian word.
попечительский
"Custodial" or "trustee-related."
The word 'попечительский' is used to describe the council associated with oversight or trusteeship responsibilities towards the university.
Она состоит в попечительском совете университета.
She is a member of the university's board of trustees.
Here, 'попечительские' as an adjective modifies 'обязанности,' signifying that the duties pertain to trusteeship or caregiving.
Попечительские обязанности требуют внимания к нуждам подопечных.
Trustee duties require attention to the needs of the wards.
The adjective 'попечительская' characterizes the 'декада,' associating the event with activities or themes related to care or trusteeship.