Prior to playing professional baseball, he attended Yavapai College.\n', '

Madrid was drafted four different times. He was first drafted in the second round of the 1982 January phase draft by the Chicago Cubs. He was then drafted by the Cincinnati Reds in the second round of the 1982 June Secondary draft. In the January Secondary phase draft, he was taken by the Texas Rangers in the first round. He finally signed after being drafted by the Brewers in the second round of the 1983 June Secondary draft.\n', '

Madrid began his professional career with the Beloit Brewers in 1984, going 6–7 with a 4.19 ERA in 22 games started. He played for the Stockton Ports in 1985, and in 1986 he went 12–9 with a 6.03 ERA for the El Paso Diablos. With the Denver Zephyrs in 1987, Madrid went 5–7 with a 5.35 ERA.\n', '

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