Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.

Tagalog sentence: Ang mga pangunahing problema sa lugar na ito ay upang mahanap ang isang nonsingular algebraic iba't-ibang U, na birationally ay katumbas ng isang hindi na mababawasan algebraic iba't-ibang V, tulad na ang mapping f: UV ay regular na ngunit hindi biregular.
The main problem in this area is to find a nonsingular algebraic variety U, that is birationally equivalent to an irreducible algebraic variety V, such that the mapping f: U V is regular but not biregular.

Tagalog sentence: 2 At nasaysay sa sangbahayan ni David, na sinasabi, Ang Siria ay nalakip sa Ephraim. At ang puso niya'y nakilos, at ang puso ng kaniyang bayan na gaya ng mga punong kahoy sa gubat na kinilos ng hangin.
2 And it was told the house of David, saying, Syria is confederate with Ephraim. And his heart was moved, and the heart of his people, as the trees of the wood are moved with the wind.

Tagalog sentence: 31 At sa kanila na nasa Hebron, at sa lahat na dako na karaniwang pinaroroonan ni David at ng kaniyang mga lalake.

31 And to them which were in Hebron, and to all the places where David himself and his men were wont to haunt.

