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1 In the figure, point D divides side BC of triangle ABC into 1182
2 The sum of four consecutive odd numbers is equal to the sum 1171
3 If two integers are chosen at random out of the set {2, 5, 7 1157
4 An isosceles triangle with one angle of 120° is inscribed in 1137
5 If the product of all the unique positive divisors of n, a p 1121
6 During the month of April, the average temperatures on day n 1105
7 If [3(ab)^3 + 9(ab)^2 – 54ab] / [(a-1)(a + 2)] = 0, and a and b are bo 1104
8 Daniel is playing a dice game in which a dice is rolled 5 times 1093
9 Arrow AB which is a line segment exactly 5 units along with 1086
10 A bus from city M is traveling to city N at a constant speed 1080
11 A box contains three pairs of blue gloves and two pairs of 1075
12 The function g(x) is defined for integers x such that if x 1071
13 How many even 3 digit integers greater than 700 with 1056
14 There are 500 cars on a sales lot, all of which have either two doors 1054
15 If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest 1052
16 An integer between 1 and 300, inclusive, is chosen at random 1051
17 Twenty meters of wire is available to fence off a flower bed in the 1051
18 x@y = 2x^(1/2) + y^2. How many unique sums of x and y result, if x@y 1041
19 How many numbers that are not divisible by 6 divide evenly 1039
20 On a partly cloudy day, Derek decides to walk back from work 1031
21 How many values can the integer p=|x+3|-|x-3| assume? 1030
22 If 2^x + 2^y = x^2 + y^2, where x and y are nonnegative inte 1030
23 What is the probability of getting a sum of 8 or 14 when 1029
24 In a certain sequence, every term after the first is determi 1024
25 Pam and Robin each roll a pair of fair, six-sided dice. What is the pr 1014