Based on your EAMCET score of 37 and IPE score of 556, your rank is likely to be above 40,000. The rank is calculated by giving 75% weightage to EAMCET marks and 25% to IPE marks. With marks in this range, you may expect a rank in the higher range (above 40,000), but this can vary based on the year's competition and other factors.

For more details you can visit the link given below: https://engineering.careers360.com/articles/ap-eamcet-marks-vs-rank