| 621 |
AIME 2012 II Q10 |
Find the number of positive integers \(n\) less th... |
1516.00 |
| 622 |
AIME 2022 I Q13 |
Let \(S\) be the set of all rational numbers that ... |
1516.00 |
| 623 |
AIME 2022 II Q11 |
Let \(ABCD\) be a convex quadrilateral with \(AB=2... |
1516.00 |
| 624 |
AIME 2022 II Q12 |
Let \(a, b, x,\) and \(y\) be real numbers with \(... |
1516.00 |
| 625 |
AIME 2022 II Q15 |
Two externally tangent circles \(\omega_1\) and \(... |
1516.00 |
| 626 |
AIME 1983 I Q14 |
In the adjoining figure, two circles of radii 6 an... |
1516.00 |
| 627 |
AIME 2009 II Q8 |
Dave rolls a fair six-sided die until a six appear... |
1516.00 |
| 628 |
AIME 2009 II Q13 |
Let \( A\) and \( B\) be the endpoints of a semici... |
1516.00 |
| 629 |
AIME 2009 II Q15 |
Let \( \overline{MN}\) be a diameter of a circle w... |
1516.00 |
| 630 |
AIME 1984 I Q4 |
Let \(S\) be a list of positive integers - not nec... |
1516.00 |
| 631 |
AIME 1984 I Q12 |
A function \(f\) is defined for all real numbers a... |
1516.00 |
| 632 |
AIME 1984 I Q13 |
Find the value of \(10\cot(\cot^{-1}3+\cot^{-1}7+\... |
1516.00 |
| 633 |
AIME 1994 I Q4 |
Find the positive integer \(n\) for which \[ \lflo... |
1516.00 |
| 634 |
AIME 1994 I Q5 |
Given a positive integer \(n\), let \(p(n)\) be th... |
1516.00 |
| 635 |
AIME 1994 I Q10 |
In triangle \(ABC,\) angle \(C\) is a right angle ... |
1516.00 |
| 636 |
AIME 2015 I Q10 |
Let \(f(x)\) be a third-degree polynomial with rea... |
1516.00 |
| 637 |
AIME 2015 I Q12 |
Consider all 1000-element subsets of the set \(\{1... |
1516.00 |
| 638 |
AIME 2015 I Q14 |
For each integer \(n \ge 2\), let \(A(n)\) be the ... |
1516.00 |
| 639 |
AIME 2015 II Q8 |
Let \(a\) and \(b\) be positive integers satisfyin... |
1516.00 |
| 640 |
AMC 8 1989 Q |
What is the value of \[(\log 5)^{3}+(\log 20)^{3}+... |
1515.97 |