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

Example Input: English sentence: A crowning piece within the array of aphrodisiac recipes for a dinner would be prime rib with herbed au jus.
Example Output: Ang isang piraso pagpaparangal sa loob ng hanay ng mga pampalibog recipe para sa hapunan ay magiging prime rib may herbed au jus.

Example Input: English sentence: The decorative elements might include some white flowers, such as a rose, out of icing or might include a cake top.
Example Output: Maaaring kabilang ang mapalamuting mga elemento ng ilang mga puting bulaklak, tulad ng rosas, out ng icing o maaaring magsama ng isang cake tuktok.

Example Input: English sentence: Let be positive real numbers, not all equal, such that some two of the equations have a common root, say . Prove that
Example Output:
Hayaan maging positibo tunay na numero, hindi lahat ng pantay-pantay, tulad na ang ilang mga dalawang ng equation magkaroon ng isang karaniwang ugat, sabihin . Patunayan na ang