Questions & Answers about Ten film dostał kilkadziesiąt nowych polubień.
Why are the words nowych polubień in the Genitive plural when they are the direct object of the verb?
The verb dostać (to get) normally takes the Accusative case for its direct object. However, when you use an indefinite numeral like kilkadziesiąt, the numeral itself takes the Accusative case, but it forces the things being counted (nowych polubień) into the Genitive plural.
How many items does kilkadziesiąt actually describe?
It describes an unspecified number roughly between 20 and 99. It is made by combining kilka (several) and dziesiąt (tens). While it literally means "several tens", it is most naturally translated into English as "several dozen".
Why is the verb dostał in the masculine singular form? Doesn't kilkadziesiąt require a neuter singular verb?
What is the dictionary form of polubień, and how does it form this Genitive plural?
The base form is polubienie (a "like" on social media). It is a neuter noun. To form the Genitive plural for neuter nouns ending in -nie, you simply drop the final -e, leaving you with the soft consonant ending -ń.