Question: Who is Abd Al-Aziz Ibn Al-Walid's paternal grandfather?

Knowledge 1: Abd al-Aziz ibn al-Walid
Abd al-Aziz ibn al-Walid (died 728/9) was a member of the Umayyad dynasty and a military leader in the wars against the Byzantine Empire during the reign of his father, Caliph al-Walid I (reigned 705–715).The latter also appointed Abd al-Aziz governor of Jund Dimashq (District of Damascus).Abd al-Aziz's mother was Umm al-Banin, a daughter of al-Walid's paternal uncle, Abd al-Aziz ibn Marwan.He was regarded by his father as "the "sayyid", the most forceful personality, amongst his sons".Abd al-Aziz led his first campaign against the Byzantines in Asia Minor in 709, when he captured a fortress, although his uncle Maslama ibn Abd al-Malik led the main raid of the year afterwards.In 710 he led the main Umayyad attack, although under the auspices of Maslama as commander-in-chief for the Byzantine front, and in 713 he led an attack against the frontier fortress of Gazelon.In 714/15, his father attempted to reverse the succession arrangement, by which the throne would pass to his brother Sulayman, in favour of Abd al-Aziz.In addition to various officials and poets in al-Walid's court, Abd al-Aziz gained the support of the powerful viceroy of the eastern half of the Caliphate, al-Hajjaj ibn Yusuf, who died in 714, the governor of Khurasan, Qutayba ibn Muslim, and a prominent Alid of Medina, Zayd, the son of Hasan ibn Ali.Nonetheless, he was unable to impose his will.When Sulayman in turn died in northern Syria in 717, Abd al-Aziz intended to claim the throne in Damascus, but upon learning that his maternal uncle Umar II had been chosen as caliph, he presented himself before him and acknowledged his rule.According to the account of al-Waqidi, during their encounter, Umar informed Abd al-Aziz that he would not have disputed his accession, to which Abd al-Aziz replied: "I would not like anyone else but you to have taken over the office".Abd al-Aziz died in Anno Hegirae 110 (728/729 CE). [SEP] Knowledge 2: Al-Walid I
Al-Walid ibn Abd al-Malik ibn Marwan (circa 674 – 23 February 715), commonly known as al-Walid I , was the sixth Umayyad caliph, ruling from October 705 until his death.Al-Walid was the eldest son of his predecessor Caliph Abd al-Malik .While still a prince, he led annual raids against the Byzantines in 695–698 and built or restored fortifications along the Syrian Desert route to Mecca.He became the heir apparent after the death of Abd al-Malik's brother and designated successor, Abd al-Aziz ibn Marwan, in 704.Al-Walid largely continued his father's policies of centralization and expansion, and heavily depended on al-Hajjaj ibn Yusuf, his father's powerful viceroy over the eastern half of the Caliphate.During his reign, Umayyad armies conquered the Maghreb, Hispania, Sind and Transoxiana, expanding the Caliphate to its largest territorial extent.War spoils from the conquests allowed al-Walid to finance public works of great magnitude, including the Great Mosque of Damascus, the al-Aqsa Mosque in Jerusalem and the Prophet's Mosque in Medina.He was the first caliph to institute programs for social welfare, aiding the poor and handicapped in Syria.Though it is difficult to ascertain al-Walid's direct role in the affairs of his caliphate, his reign was marked by domestic peace and prosperity and likely represented the peak of Umayyad power.
Knowledge 1: Abd al-Aziz ibn al-Walid
Abd al-Aziz ibn al-Walid (died 728/9) was a member of the Umayyad dynasty and a military leader in the wars against the Byzantine Empire during the reign of his father, Caliph al-Walid I (reigned 705–715).The latter also appointed Abd al-Aziz governor of Jund Dimashq (District of Damascus).Abd al-Aziz's mother was Umm al-Banin, a daughter of al-Walid's paternal uncle, Abd al-Aziz ibn Marwan.He was regarded by his father as "the "sayyid", the most forceful personality, amongst his sons".Abd al-Aziz led his first campaign against the Byzantines in Asia Minor in 709, when he captured a fortress, although his uncle Maslama ibn Abd al-Malik led the main raid of the year afterwards.In 710 he led the main Umayyad attack, although under the auspices of Maslama as commander-in-chief for the Byzantine front, and in 713 he led an attack against the frontier fortress of Gazelon.In 714/15, his father attempted to reverse the succession arrangement, by which the throne would pass to his brother Sulayman, in favour of Abd al-Aziz.In addition to various officials and poets in al-Walid's court, Abd al-Aziz gained the support of the powerful viceroy of the eastern half of the Caliphate, al-Hajjaj ibn Yusuf, who died in 714, the governor of Khurasan, Qutayba ibn Muslim, and a prominent Alid of Medina, Zayd, the son of Hasan ibn Ali.Nonetheless, he was unable to impose his will.When Sulayman in turn died in northern Syria in 717, Abd al-Aziz intended to claim the throne in Damascus, but upon learning that his maternal uncle Umar II had been chosen as caliph, he presented himself before him and acknowledged his rule.According to the account of al-Waqidi, during their encounter, Umar informed Abd al-Aziz that he would not have disputed his accession, to which Abd al-Aziz replied: "I would not like anyone else but you to have taken over the office".Abd al-Aziz died in Anno Hegirae 110 (728/729 CE). [SEP] Knowledge 2: Izz al-Din ibn 'Abd al-Salam
' Izz al- Din' Abd al -' Aziz ibn' Abd al- Salam ibn Abi'l- Qasim ibn al- Hasan al- Dimashqi, Sultan al-' Ulama/ Sulthanul Ulama, Abu Muhammad al- Sulami, was a famous mujtahid, theologian, jurist and the leading Shafi'i authority of his generation.
Knowledge 1: Al-Walid I
Al-Walid ibn Abd al-Malik ibn Marwan (circa 674 – 23 February 715), commonly known as al-Walid I , was the sixth Umayyad caliph, ruling from October 705 until his death.Al-Walid was the eldest son of his predecessor Caliph Abd al-Malik .While still a prince, he led annual raids against the Byzantines in 695–698 and built or restored fortifications along the Syrian Desert route to Mecca.He became the heir apparent after the death of Abd al-Malik's brother and designated successor, Abd al-Aziz ibn Marwan, in 704.Al-Walid largely continued his father's policies of centralization and expansion, and heavily depended on al-Hajjaj ibn Yusuf, his father's powerful viceroy over the eastern half of the Caliphate.During his reign, Umayyad armies conquered the Maghreb, Hispania, Sind and Transoxiana, expanding the Caliphate to its largest territorial extent.War spoils from the conquests allowed al-Walid to finance public works of great magnitude, including the Great Mosque of Damascus, the al-Aqsa Mosque in Jerusalem and the Prophet's Mosque in Medina.He was the first caliph to institute programs for social welfare, aiding the poor and handicapped in Syria.Though it is difficult to ascertain al-Walid's direct role in the affairs of his caliphate, his reign was marked by domestic peace and prosperity and likely represented the peak of Umayyad power. [SEP] Knowledge 2: Kuthayyir
Kuthayyir ibn ‘Abd al-Raḥman (c. 660 – c. 723), commonly known as Kuthayyir ‘Azzah  was an Arab 'Udhri poet of the Umayyad period from the tribe of Azd.He was born in Medina and resided in Hijaz and Egypt.In his poems he was occupied with his unfulfilled love to a married woman named 'Azza.Favorite topics in his poetry are love and panegyrics.He made acquaintance of the governor Abd al-Aziz ibn Marwan and the caliphs Abd al-Malik ibn Marwan, Umar ibn Abd al-Aziz and Yazid II.He is mentioned as one of the followers of the now-extinct Kaysaniyya sect of Shi'ism, which held that Ali's third son Muhammad ibn Al-Hanafiyya would return as the Mahdi.

Answer: Abd al-Malik ibn Marwan