| 2701 |
AIME 2019 I Q13 |
Triangle \(ABC\) has side lengths \(AB=4\), \(BC=5... |
1500.00 |
| 2702 |
AIME 2019 I Q14 |
Find the least odd prime factor of \(2019^8 + 1\).... |
1500.00 |
| 2703 |
AIME 2019 I Q15 |
Let \(\overline{AB}\) be a chord of a circle \(\om... |
1500.00 |
| 2704 |
AIME 2019 II Q2 |
Lily pads \(1,2,3,\ldots\) lie in a row on a pond.... |
1500.00 |
| 2705 |
AIME 2019 II Q4 |
A standard six-sided fair die is rolled four times... |
1500.00 |
| 2706 |
AIME 2019 II Q5 |
Four ambassadors and one advisor for each of them ... |
1500.00 |
| 2707 |
AIME 2019 II Q6 |
In a Martian civilization, all logarithms whose ba... |
1500.00 |
| 2708 |
AIME 2019 II Q7 |
Triangle \(ABC\) has side lengths \(AB=120\), \(BC... |
1500.00 |
| 2709 |
AIME 2019 II Q9 |
Call a positive integer \(n\) \(k\)-pretty if \(n\... |
1500.00 |
| 2710 |
AIME 2019 II Q10 |
There is a unique angle \(\theta\) between \(0^{\c... |
1500.00 |
| 2711 |
AIME 2019 II Q11 |
Triangle \(ABC\) has side lengths \(AB=7, BC=8, \)... |
1500.00 |
| 2712 |
AIME 2019 II Q12 |
For \(n \ge 1\) call a finite sequence \((a_1, a_2... |
1500.00 |
| 2713 |
AIME 2019 II Q13 |
Regular octagon \(A_1A_2A_3A_4A_5A_6A_7A_8\) is in... |
1500.00 |
| 2714 |
AIME 2019 II Q14 |
Find the sum of all positive integers \(n\) such t... |
1500.00 |
| 2715 |
AIME 2019 II Q15 |
In acute triangle \(ABC\) points \(P\) and \(Q\) a... |
1500.00 |
| 2716 |
AIME 2003 I Q1 |
Given that
\[ \frac{((3!)!)!}{3!} = k \cdot n!, \... |
1500.00 |
| 2717 |
AIME 2003 I Q2 |
One hundred concentric circles with radii \(1, 2, ... |
1500.00 |
| 2718 |
AIME 2003 I Q3 |
Let the set \(\mathcal{S} = \{8, 5, 1, 13, 34, 3, ... |
1500.00 |
| 2719 |
AIME 2003 I Q4 |
Given that \(\log_{10} \sin x + \log_{10} \cos x =... |
1500.00 |
| 2720 |
AIME 2003 I Q5 |
Consider the set of points that are inside or with... |
1500.00 |