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IMO Shortlist 1966 problem 10

1966 shortlist
How many real solutions are there to the equation x = 1964 \sin x - 189 ?

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1233IMO Shortlist 1966 problem 50
1966 shortlist
0
1231IMO Shortlist 1966 problem 48
1966 shortlist
0
1229IMO Shortlist 1966 problem 46
1966 shortlist
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1228IMO Shortlist 1966 problem 45
1966 shortlist
0
1227IMO Shortlist 1966 problem 44
1966 shortlist
0
1225IMO Shortlist 1966 problem 42
1966 niz shortlist tb
0