Who was the vice president that served the following two presidents John Quincy Adams and Andrew Jackson?

Answer 1

John C. Calhoun served as Vice President under both John Quincy Adams and Andrew Jackson (first term). Calhoun was from South Carolina and was the 7th US Vice President (1825-1832). He resigned while serving under Jackson in order to run for the Senate in 1832, and so was the first Vice President to resign his office.
John C. Calhoun was the Vice President to both John Quincy Adams and Andrew Jackson.

Calhoun was the 7th Vice President of the United States from 1825 March 4 to 1832 December 28.

Answer 2

John C. Calhoun was the running mate of both John Quincy Adams and Andrew Jackson in 1924 (talk about a shoe-in). When the same two opponents were nominated in 1928, General Jackson again ran with the incumbent vice president while President Adams' backers selected Richard Rush. Vice President Calhoun resigned in 1832, but not until after Martin Van Buren was already the Vice-President-Elect.

Answer 3

John C Calhoun (1829-1832) and later future president Martin Van Buren (1833-1837)