Question: What American Thoroughbred horse race facility in Elmont, New York opened on May 4, 1905 and has a $500,000 purse starting in 2016?

Context paragraphs:
Test Stakes: The Test Stakes is an American Thoroughbred horse race open to three-year-old fillies and run each summer at the Saratoga Race Course in Saratoga Springs, New York.  It is contested at a distance of seven furlongs on the dirt and is an influential race in shaping the Breeders' Cup Filly & Mare Sprint.  A Grade I event, it carries a purse of $500,000.

Queen Elizabeth II Challenge Cup Stakes: The Queen Elizabeth II Challenge Cup is an American Thoroughbred horse race for three-year-old fillies held annually since 1984 at Keeneland Race Course near Lexington, Kentucky.  Run at a distance of one and one-eighth miles on the turf, the Grade I race currently offers a purse of $500,000.  It is an important prep race to the Breeders' Cup Filly & Mare Turf.

Belmont Park: Belmont Park is a major Thoroughbred horse-racing facility located in Elmont, New York, just outside New York City limits.  It first opened on May 4, 1905.  It is typically open for racing from late April through mid-July (known as the Spring meet), and again from mid-September through late October (the Fall meet).

New York Stakes: The New York Stakes is an American Thoroughbred horse race held annually at Belmont Park in Elmont, Long Island, New York.  A Grade II event open to fillies and mares age four and older, it is contested on turf at a distance of one and one-quarter miles (10 furlongs).  In 2015, the date for the race was moved to the Friday before the Belmont Stakes as part of the Belmont Racing Festival.  For 2016, the purse was increased to $500,000.

Just a Game Stakes: The Just A Game Stakes is an American Thoroughbred horse race run annually in early June at Belmont Park in Elmont, New York.  Open to fillies and mares age four and up, it is contested on turf over a distance of one mile (8 furlongs).  A Grade I event since 2008, it offered a purse of $750,000 in 2014.  In 2015, the purse was changed to $700,000.

Fourstardave Handicap: The Fourstardave Handicap is an American Thoroughbred horse race run annually at Saratoga Race Course in Saratoga Springs, New York.  With a purse of $500,000, the Fourstardave is open to horses, age three and up, willing to race one mile on the turf.  It achieved Grade I status in 2016.

Suburban Handicap: The Suburban Handicap is an American Grade II Thoroughbred horse race run annually at Belmont Park in Elmont, New York.  Open to horses age three and older, it is now run at the 1 ⁄ mile distance on dirt for a $500,000 purse.

Alabama Stakes: The Alabama Stakes is an American Thoroughbred horse race open to three-year-old fillies.  Inaugurated in 1872, the Grade I race is run over a distance of one and one-quarter miles on the dirt track at Saratoga Race Course.  Held in mid August, it currently offers a purse of $500,000.  In 2010 it became the third leg of the American Triple Tiara of Thoroughbred Racing, after the Acorn Stakes and Coaching Club American Oaks.

Ashland Stakes: The Ashland Stakes is an American Thoroughbred horse race held annually in early April at Keeneland Race Course in Lexington, Kentucky, United States.  It and the Ashland Oaks, the Kentucky Association racetrack's predecessor race, were named for Ashland, the homestead and breeding farm of statesman Henry Clay in Lexington, Kentucky.  Restricted to three-year-olds fillies the race is currently run at a distance of one and one-sixteenth miles.  The race is a Grade I event with a current purse of $500,000 and has been a prep race to the Triple Tiara of Thoroughbred Racing, including the Kentucky Oaks, the Black-Eyed Susan Stakes and Mother Goose Stakes.

Diana Stakes: The Diana Stakes is an American Thoroughbred horse race.  Named for the mythological goddess Diana, the race is run each year at Saratoga Race Course in Saratoga Springs, New York.  Inaugurated in 1939, it is open to fillies and mares age three and up willing to race the one and one-eighth miles on the turf.  The race is a Grade I with a current purse of $500,000.  It became a Grade I race in 2003.

Supporting paragraphs: New York Stakes Belmont Park
Answer: Belmont Park