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: Isa ng ang paksa siya tutored ay geometry at Mark, kahit lamang ang limang taong gulang, naging nabighani sa pamamagitan ng kung ano ang kanyang ama ay pagtuturo at siya hikayat ng kanyang ama upang magturo sa kanya ng ilang geometry.

SOLUTION: One of the topics he tutored was geometry and Mark, although only five years old, became fascinated by what his father was teaching and he persuaded his father to teach him some geometry.

PROBLEM: Tagalog sentence: Sa 1898 Osgood-publish ng isang mahalagang papel sa mga solusyon ng mga kaugalian equation dy / dx = f (x, y) kasiya-siyang ang inireseta unang kondisyon y (a) = b.... Osgood ay nagpakita na kung f (x, y) ay patuloy na may umiiral na lamang ng hindi bababa sa isang solusyon...

SOLUTION: In 1898 Osgood published an important paper on the solutions of the differential equation dy/dx = f(x, y) satisfying the prescribed initial conditions y(a) = b.... Osgood showed that if f(x, y) is merely continuous there exists at least one solution...

PROBLEM: Tagalog sentence: Bilang karagdagan sa mga pinansiyal na problema ay may problema sa ipinapahayag ng mga lokal na mga tao na ang mataas na kahina-hinala ng mga surveyors na ay erecting observation istasyon at gamit ang kung ano ang mga ito seemed kakaibang instrumento.

SOLUTION:
In addition to the financial problems there were difficulties presented by local people who were highly suspicious of the surveyors who were erecting observation stations and using what to them seemed strange instruments.