instruction:
Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.
question:
Tagalog sentence: (a) Hanapin ang locus ng mga puntos na sentro ng parihaba na vertices kasinungalingan sa panig ng;
answer:
(a) Find the locus of points that are centers of rectangles whose vertices lie on the sides of;


question:
Tagalog sentence: Kaliwa ay haba ng, ay absciss ng . Problema binabawasan sa isa sa mga sumusunod:
answer:
Left be length of, is absciss of . Problem reduces to the following one:


question:
Tagalog sentence: Kapag namatay ang kanyang asawa, Hopkins nakakita ng pagkakataon upang magsimula ng isang bagong buhay na siya ay masisiyahan.
answer:

When his wife died, Hopkins saw the chance to start a new life that he would enjoy.