User contributions
- 05:13, 16 February 2024 (diff | hist) . . (-1) . . ASIA TEAM Problems/Problem 2 (current)
- 05:12, 16 February 2024 (diff | hist) . . (+191) . . N ASIA TEAM Problems/Problem 2 (Created page with "Notice that <math>...S_4S_3S_2S_1</math> is the base-4 representation of <math>2013</math>, and <math>2013_{10}=</math>133131<math>, so the answer is </math>1+3+3+1+3+1=\boxed...")
- 04:42, 16 February 2024 (diff | hist) . . (+1) . . ASIA TEAM Problems/Problem 1 (current)
- 04:42, 16 February 2024 (diff | hist) . . (+226) . . N ASIA TEAM Problems/Problem 1 (Created page with "Notice that the orders of <math>2n-1</math> and <math>2n</math> have opposite parities, as the order of <math>2n-1</math> is one more than the oder of <math>2n</math>, and the...")
- 03:43, 16 February 2024 (diff | hist) . . (+614) . . N ASIA TEAM Problems/Problem 6 (Created page with "Dividing both sides of the second equation by <math>xyz</math> gives <math>\frac{9}{x}+\frac{4}{y}+\frac{1}{z}=6</math>. But the Cauchy-Swarsz inequality gives <math>(x+y+z)(\...") (current)
- 23:11, 14 February 2024 (diff | hist) . . (+12) . . Mock AIME 5 Pre 2005 Problems/Problem 15 (current)
- 23:11, 14 February 2024 (diff | hist) . . (+268) . . N Mock AIME 5 Pre 2005 Problems/Problem 15 (Created page with "We need to find <math>[log_2{53}]+[log_2{54}]+[log_2{55}]+...+[log_2{64}], and since </math>2^{\frac{11}{2}}=\sqrt{2048}<46<math>, and we have </math>[log_2{53}]=[log_2{54}]=[...")
- 23:05, 14 February 2024 (diff | hist) . . (+372) . . N Mock AIME 5 Pre 2005 Problems/Problem 4 (Created page with "Let the number of balls in the 8 boxes be <math>a_1,a_2,a_3,...,a_8</math>. Thus, we have <math>a_1+a_2+a_3+...+a_8=16</math>, where <math>a_1,a_2,a_3,...,a_8\geq1</math>. By...") (current)
- 23:02, 14 February 2024 (diff | hist) . . (+454) . . N Mock AIME 5 Pre 2005 Problems/Problem 8 (Created page with "Square both sides to give <math>x^2+2x\sqrt{y}+y=22+2\sqrt{96}</math>. Thus, we have the system of equations <math>x^2+y=22</math> <math>x^2y=96</math>. Thus, we have <math>y(...") (current)
- 00:53, 6 September 2023 (diff | hist) . . (+145) . . Mock AIME 6 2006-2007 Problems/Problem 3
- 00:52, 6 September 2023 (diff | hist) . . (+235) . . N Mock AIME 6 2006-2007 Problems/Problem 3 (Created page with "Alvin and Simon start <math>\frac{2+1}{2}(312)=468</math> metres apart. Simon and Theodore start <math>\frac{3-2}{3}(2526)=842</math> metres apart. Therefore, Alvin and Simon...")
- 00:32, 6 September 2023 (diff | hist) . . (+10) . . Mock AIME 6 2006-2007 Problems/Problem 1
- 00:32, 6 September 2023 (diff | hist) . . (+160) . . N Mock AIME 6 2006-2007 Problems/Problem 1 (Created page with "We note that the required sum is equal to <math>(2^0+2^1+2^2+2^3+2^4)(3^0+3^1+3^2+3^3+3^4)=(31)(121)=3751</math>, which is <math>\framebox{751}</math> mod 1000.")
- 05:41, 5 September 2023 (diff | hist) . . (+30) . . Mock AIME 5 Pre 2005 Problems/Problem 2 (current)
- 05:38, 5 September 2023 (diff | hist) . . (-3) . . Mock AIME 5 Pre 2005 Problems/Problem 2
- 05:37, 5 September 2023 (diff | hist) . . (+12) . . Mock AIME 5 Pre 2005 Problems/Problem 2
- 05:35, 5 September 2023 (diff | hist) . . (+1,814) . . N Mock AIME 5 Pre 2005 Problems/Problem 2 (Created page with "We have <math>a\geq1</math>. If <math>a=1</math>, then <math>f=0</math>, but <math>f\geq1</math>. If <math>a=2</math> and <math>b=0</math>, then <math>g=0=b</math>, a contradi...")