Hello!
Congratulations on your score! With a score of 507, you have a small chance of getting a government seat in UP. Here, I'm listing out the government colleges in AP. Good luck! Do keep in mind, this is in respect to the last years' trends through which gov. medical colleges accept scores above 500. This may not be the same anymore.

https://medicine.careers360.com/colleges/list-of-private-medical-colleges-in-andhra-pradesh

Hello student,
You have not mentioned which region you belong to. With a score of 507, you have chances of procuring a seat in the government medical colleges when comparing the results of previous years. The cut off's for various region are
AU region 484
SVU region 473
OU region 458
So, you have good chances of getting a seat in the government medical colleges. However you can go through the following link to know about the cut off's and ranks for the previous years and calculate your chances of selection in your respective state
https://medicine.careers360.com/articles/neet-cut-off/amp
Good luck

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