TASK DEFINITION: Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.
PROBLEM: Tagalog sentence: Ang aming mga resulta na nai-publish sa isang bilang ng mga papeles na aming ipinadala sa Polish journal at sa ilang mga journal sa ibang bansa.

SOLUTION: Our results were published in a number of papers which we sent to Polish journals and to some journals abroad.

PROBLEM: Tagalog sentence: Ang point M ay ang midpoint ng Arc BC sa circle c. Kaya, ang dalawang Chords BM at CM ng c bilog ay may pantay na haba. Kaya, ang chordal angles ng mga dalawang Chords ay dapat pantay-pantay, sa ibang salita, mayroon kaming < BAM = < CAM. Kaya, ang point M kasinungalingan sa anggulo panggitnang guhit ng anggulo BAC.

SOLUTION: The point M is the midpoint of the arc BC on the circle c. Thus, the two chords BM and CM of the circle c have equal length. Hence, the chordal angles of these two chords must also be equal; in other words, we have < BAM = < CAM. Hence, the point M lies on the angle bisector of the angle BAC. Similarly, the point N lies on the angle bisector of the angle BAD. But, of course, the angle bisector of the angle BAD is the exterior angle bisector of the angle BAC; hence, since the interior and the exterior angle bisector of an angle are always perpendicular to each other, the angle bisector of the angle BAC and the angle bisector of the angle BAD are perpendicular to each other. Hence, < MAN = 90.

PROBLEM: Tagalog sentence: At isa sa mga paraan upang makapaghain ng tatlong beses sa kanilang hapag-kainan, paminsan-minsan, tumutungo si Lola Angela sa isang bodega ng imbakan ng bigas sa kanilang lugar at matiyaga siyang namumulot ng mga nahuhulog na butil ng bigas sa tuwing may delivery rito.

SOLUTION:
As a way of putting food on the table three times a day, Grandma Angela sometimes helps out in a rice storage warehouse in their area and diligently picks the grains that fall out whenever there is a delivery.