# Tag Archives: USA NIMO

## [Soln] 2015 USA NIMO Problem 7

2015 USA NIMO 7. Find the number of ways a series of + and – signs can be inserted between the numbers 0, 1, …, 12 such that the value of the resulting expression is divisible by 5. Advertisements

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## 2015 USA NIMO Problem 7

2015 USA NIMO 7. Find the number of ways a series of + and – signs can be inserted between the numbers 0, 1, …, 12 such that the value of the resulting expression is divisible by 5.

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## [Soln] 2015 USA NIMO Problem 5

2015 USA NIMO 5. Let , , , , ,  be real numbers. Define the polynomials  and   Let be the set of all complex numbers which are a root of either or (or both). Given that , compute .

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## [Hints] 2015 USA NIMO Problem 5

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## 2015 USA NIMO Problem 5

2015 USA NIMO 5. Let , , , , ,  be real numbers. Define the polynomials  and   Let be the set of all complex numbers which are a root of either or (or both). Given that , compute .

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## [Hints] 2015 USA NIMO Problem 2

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## [Soln] 2015 USA NIMO Problem 2

2015 USA NIMO 2. Let be a square with side length . Denote by the midpoint of . Point is selected inside the square so that and . Compute .

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