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

Answer: 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.

Question: Tagalog sentence: 39:2 At ang Panginoon ay suma kay Jose, at naging lalaking mapalad; at siya'y nasa bahay ng kaniyang panginoong taga Egipto.

Answer: 39:2 And the LORD was with Joseph, and he was a prosperous man; and he was in the house of his master the Egyptian.

Question: Tagalog sentence: Siya gaganapin sa post na ito hanggang 1854 at siya ibinigay ng maraming mga pampublikong lektura sa mga aplikasyon ng matematika at mechanics sa industriya.

Answer:
He held this post until 1854 and he gave many public lectures on the applications of mathematics and mechanics to industry.