| 2501 |
AIME 2005 II Q13 |
Let \(P(x)\) be a polynomial with integer coeffici... |
1500.00 |
| 2502 |
AIME 2005 II Q14 |
In triangle \(ABC\), \(AB=13\), \(BC=15\), and \(C... |
1500.00 |
| 2503 |
AIME 2005 II Q15 |
Let \(w_{1}\) and \(w_{2}\) denote the circles \(x... |
1500.00 |
| 2504 |
AIME 2006 I Q1 |
In quadrilateral \(ABCD, \angle B\) is a right ang... |
1500.00 |
| 2505 |
AIME 2006 I Q2 |
Let set \(\mathcal{A}\) be a 90-element subset of ... |
1500.00 |
| 2506 |
AIME 2006 I Q4 |
Let \(N\) be the number of consecutive 0's at the ... |
1500.00 |
| 2507 |
AIME 2006 I Q5 |
The number \[ \sqrt{104\sqrt{6}+468\sqrt{10}+144\s... |
1500.00 |
| 2508 |
AIME 2006 I Q6 |
Let \(\mathcal{S}\) be the set of real numbers tha... |
1500.00 |
| 2509 |
AIME 2006 I Q8 |
Hexagon \(ABCDEF\) is divided into four rhombuses,... |
1500.00 |
| 2510 |
AIME 2006 I Q10 |
Eight circles of diameter 1 are packed in the firs... |
1500.00 |
| 2511 |
AIME 2006 I Q11 |
A collection of 8 cubes consists of one cube with ... |
1500.00 |
| 2512 |
AIME 2006 I Q12 |
Find the sum of the values of \(x\) such that \(\c... |
1500.00 |
| 2513 |
AIME 2006 I Q13 |
For each even positive integer \(x\), let \(g(x)\)... |
1500.00 |
| 2514 |
AIME 2006 I Q14 |
A tripod has three legs each of length 5 feet. Wh... |
1500.00 |
| 2515 |
AIME 2006 II Q1 |
In convex hexagon \(ABCDEF\), all six sides are co... |
1500.00 |
| 2516 |
AIME 2006 II Q2 |
The lengths of the sides of a triangle with positi... |
1500.00 |
| 2517 |
AIME 2006 II Q3 |
Let \(P\) be the product of the first 100 positive... |
1500.00 |
| 2518 |
AIME 2006 II Q4 |
Let \((a_1,a_2,a_3,...,a_{12})\) be a permutation ... |
1500.00 |
| 2519 |
AIME 2006 II Q5 |
When rolling a certain unfair six-sided die with f... |
1500.00 |
| 2520 |
AIME 2006 II Q7 |
Find the number of ordered pairs of positive integ... |
1500.00 |