The first large student protest in Chile since Michelle Bachelet was returned to power turned violent after the march was infiltrated by rioters who attacked police.
The president has promised an overhaul of the largely privatised system, with better and free education, paid for by a tax reform currently passing through Congress. But protesters say there is not enough clarity in her proposals.
The previous administration of conservative Sebastian Pinera was blighted by dozens of angry and sometimes violent protests by students demanding that changes be made to the privatised education system established under ex-dictator Augusto Pinochet.
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