YOU SAID:
would you sign my petition
INTO JAPANESE
私の請願書に署名してくれませんか
BACK INTO ENGLISH
would you please sign my petition
INTO JAPANESE
私の請願書に署名していただけませんか
BACK INTO ENGLISH
Could you please sign my petition?
INTO JAPANESE
私の嘆願書に署名していただけますか?
BACK INTO ENGLISH
Could you please sign my petition?
That didn't even make that much sense in English.