Danehy Park in Cambridge (http://www.cambridgema.gov/DHSP2/danehy.cfm) has a public running track. It's about a mile or a mile and a half from Davis Sq., depending on which entrance you go to.
If you walk (or bike) to Danehy, take the pedestrian underpass from Yerxa Road to Walden Square. This shortens the walk by a couple blocks, but is not shown on any map.
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