Let an=6n+8n. Determine the remainder upon dividing a83 by 49.
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Problem Statement Let x and y be two-digit integers such that y is obtained by reversing the digits of x. The integers x and y satisfy x2−y2=m2 for some positive integer m....
Problem Statement (a) First, determine two positive integers x and y with 2x+11y3x+4y=1. Now, let u and v be two positive rational numbers with Misplaced &Misplaced &. If we write $u...
Problem Statement The polynomial 1−x+x2−x3+⋯+x16−x17 may be written in the form a0+a1y+a2y2+⋯+a16y16+a17y17, where y=x+1 and the ai’s are constants. F...
AIME 1986 P11
AIME 1999 P3
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