| 1 |
AMC 10 2010 B Q25 |
Let \( a>0\), and let \( P(x)\) be a polynomial wi... |
1667.63 |
| 2 |
AMC 8 1999 A Q22 |
In a far-off land three fish can be traded for two... |
1630.22 |
| 3 |
AMC 10 2007 A Q20 |
Suppose that the number \( a\) satisfies the equat... |
1626.82 |
| 4 |
AMC 10 2004 A Q24 |
Let \(a_1, a_2, \cdots\), be a sequence with the f... |
1611.14 |
| 5 |
AMC 12 1980 A Q29 |
How many ordered triples \((x,y,z)\) of integers s... |
1610.88 |
| 6 |
AMC 10 2010 B Q13 |
What is the sum of all the solutions of \( x = |2x... |
1608.84 |
| 7 |
AMC 10 2002 B Q10 |
Let \(a\) and \(b\) be distinct real numbers for w... |
1607.14 |
| 8 |
AMC 8 2004 A Q18 |
Five friends compete in a dart-throwing contest. E... |
1606.61 |
| 9 |
SMC 2020 Q17 |
The positive integers \(m\), \(n\), and \(p\) sati... |
1600.50 |
| 10 |
AMC 10 2005 B Q17 |
Suppose that \( 4^a = 5\), \( 5^b = 6\), \( 6^c = ... |
1599.13 |
| 11 |
AMC 8 2002 A Q25 |
Loki, Moe, Nick and Ott are good friends. Ott had ... |
1597.62 |
| 12 |
AMC 8 1989 Q |
Let \(h_n\) and \(k_n\) be the unique relatively p... |
1597.33 |
| 13 |
AMC 8 1987 A Q21 |
Suppose \(n^{*}\) means \(\frac{1}{n}\), the recip... |
1589.10 |
| 14 |
AMC 8 2004 A Q22 |
At a party there are only single women and married... |
1584.58 |
| 15 |
AMC 8 2008 A Q20 |
The students in Mr. Neatkin's class took a penmans... |
1584.51 |
| 16 |
AMC 10 2005 A Q24 |
For each positive integer \( m > 1\), let \( P(m)\... |
1580.76 |
| 17 |
AMC 10 2002 B Q23 |
Let \[a=\dfrac{1^2}1+\dfrac{2^2}3+\dfrac{3^2}5+\cd... |
1578.99 |
| 18 |
AMC 10 2005 A Q13 |
How many positive integers \( n\) satisfy the foll... |
1577.86 |
| 19 |
AMC 8 2010 A Q24 |
What is the correct ordering of the three numbers,... |
1576.22 |
| 20 |
AMC 10 2003 A Q25 |
Let \( n\) be a \( 5\)-digit number, and let \( q\... |
1574.96 |