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• 19:16, 2 May 2025 (diff | hist) . . (+22)‎ . . 2022 SSMO Team Round Problems/Problem 9 ‎ (current)
• 19:14, 2 May 2025 (diff | hist) . . (+862)‎ . . 2022 SSMO Speed Round Problems/Problem 9 ‎ (current)
• 19:14, 2 May 2025 (diff | hist) . . (+445)‎ . . 2022 SSMO Speed Round Problems/Problem 10 ‎ (current)
• 19:14, 2 May 2025 (diff | hist) . . (+210)‎ . . 2022 SSMO Speed Round Problems/Problem 8 ‎ (current)
• 19:14, 2 May 2025 (diff | hist) . . (+460)‎ . . 2022 SSMO Speed Round Problems/Problem 7 ‎ (current)
• 19:14, 2 May 2025 (diff | hist) . . (+593)‎ . . 2022 SSMO Speed Round Problems/Problem 6 ‎ (current)
• 19:14, 2 May 2025 (diff | hist) . . (+418)‎ . . 2022 SSMO Speed Round Problems/Problem 5 ‎
• 19:14, 2 May 2025 (diff | hist) . . (+379)‎ . . 2022 SSMO Speed Round Problems/Problem 4 ‎
• 19:14, 2 May 2025 (diff | hist) . . (+347)‎ . . 2022 SSMO Speed Round Problems/Problem 3 ‎
• 19:14, 2 May 2025 (diff | hist) . . (+353)‎ . . 2022 SSMO Speed Round Problems/Problem 2 ‎
• 19:14, 2 May 2025 (diff | hist) . . (+369)‎ . . 2022 SSMO Speed Round Problems/Problem 1 ‎
• 16:03, 2 May 2025 (diff | hist) . . (+594)‎ . . N 2024 SSMO Tiebreaker Round Problems/Problem 3 ‎ (Created page with "==Problem== Let <math>A=\dots a_2a_1a_0.a_{-1}a_{-2}a_{-3}\dots</math> be a terminating decimal. The length of <math>A</math> is defined to be the length of the shortest sub-...")
• 16:03, 2 May 2025 (diff | hist) . . (+452)‎ . . N 2024 SSMO Tiebreaker Round Problems/Problem 2 ‎ (Created page with "==Problem== Bob is attempting to shoot a 3-point throw. Bob attempts the basket 97 times. Each time, Bob has a <math>35\%</math> chance of making the shot. If <math>S_1</math...")
• 16:03, 2 May 2025 (diff | hist) . . (+114)‎ . . N 2024 SSMO Tiebreaker Round Problems/Problem 1 ‎ (Created page with "==Problem== Compute the exact value of <math>2^2+0^2+2^2+4^2+20^2+22^2+24^2+40^2+42^2+202^2.</math> ==Solution==")
• 16:02, 2 May 2025 (diff | hist) . . (+491)‎ . . N 2024 SSMO Relay Round 5 Problems/Problem 2 ‎ (Created page with "==Problem== Let <math>T = TNYWR.</math> In the game of high and low, the computer chooses two integers without replacement from the set <math>\{1,2,3,\dots,T\}</math>. The co...")
• 16:02, 2 May 2025 (diff | hist) . . (+261)‎ . . N 2024 SSMO Relay Round 5 Problems/Problem 3 ‎ (Created page with "==Problem== Let <math>T = TNYWR.</math> Let <math>k</math> be the maximum prime factor that divides <math>T.</math> How many values of <math>x</math> satisfy both <math>\sin...")
• 16:02, 2 May 2025 (diff | hist) . . (+339)‎ . . N 2024 SSMO Relay Round 5 Problems/Problem 1 ‎ (Created page with "==Problem== Let the super factorial <math>!(n)</math> be defined on positive integers as <math>\prod_{i=1}^n i!.</math> Find the largest positive integer <math>k</math> such...")
• 16:02, 2 May 2025 (diff | hist) . . (+223)‎ . . N 2024 SSMO Relay Round 4 Problems/Problem 3 ‎ (Created page with "==Problem== Let <math>T = TNYWR.</math> Given that: \begin{align*} a+b &= -c,\\ a^3 - abc &= 4,\text{ and }\\ b^3 - abc &= T.\\ \end{align*} Then, <math>abc - c^3 = x.</math>...")
• 16:02, 2 May 2025 (diff | hist) . . (+321)‎ . . N 2024 SSMO Relay Round 4 Problems/Problem 2 ‎ (Created page with "==Problem== Let <math>T = TNYWR.</math> Regular octagon <math>OLYMPIAD</math> is perfectly inscribed within Circle <math>Q</math>. Circle <math>Q</math> has area <math>T\pi</...")
• 16:02, 2 May 2025 (diff | hist) . . (+309)‎ . . N 2024 SSMO Relay Round 4 Problems/Problem 1 ‎ (Created page with "==Problem== Freddy the Frog can jump <math>1</math> unit right or up. He is at <math>(1,1)</math> and wants to get to <math>(7, 4)</math>. However, he is scared of points <ma...")
• 16:02, 2 May 2025 (diff | hist) . . (+556)‎ . . N 2024 SSMO Relay Round 3 Problems/Problem 3 ‎ (Created page with "==Problem== Let <math>T = TNYWR-1.</math> Riley and Boris are playing a game on a <math>T\times T</math> grid of dots. The game alternates turns and starts with Riley. Each t...")
• 16:02, 2 May 2025 (diff | hist) . . (+154)‎ . . N 2024 SSMO Relay Round 3 Problems/Problem 2 ‎ (Created page with "==Problem== Let <math>T = TNYWR.</math> Find the greatest odd integer <math>n</math> for which <math>n^2+(T-1)n</math> is a perfect square. ==Solution==")
• 16:02, 2 May 2025 (diff | hist) . . (+496)‎ . . N 2024 SSMO Relay Round 3 Problems/Problem 1 ‎ (Created page with "==Problem== Alice and Bob on the second floor of the building right next to the escalator moving upwards. Alice and Bob each run at 200 steps per minute and the escalator is...")
• 16:01, 2 May 2025 (diff | hist) . . (+328)‎ . . N 2024 SSMO Relay Round 2 Problems/Problem 3 ‎ (Created page with "==Problem== Let <math>T = TNYWR.</math> A point <math>P</math> is randomly chosen inside the square with vertices <math>A = (0,0), B = (0,T), C = (T,T),</math> and <math>D =...")
• 16:01, 2 May 2025 (diff | hist) . . (+149)‎ . . N 2024 SSMO Relay Round 2 Problems/Problem 2 ‎ (Created page with "==Problem== Let <math>T = TNYWR.</math> If <cmath>a = \sum_{n=1}^{N}n(n+1)(n+2),</cmath> find the last three digits of <math>a.</math> ==Solution==")
• 16:01, 2 May 2025 (diff | hist) . . (+297)‎ . . N 2024 SSMO Relay Round 2 Problems/Problem 1 ‎ (Created page with "==Problem== In a regular hexagon <math>ABCDEF</math>, let <math>X</math> be a point inside the hexagon such that <math>XA=XB=3.</math> If the area of the hexagon is <math>6\s...")
• 16:01, 2 May 2025 (diff | hist) . . (+1)‎ . . 2024 SSMO Relay Round 1 Problems ‎ (current)
• 16:01, 2 May 2025 (diff | hist) . . (+543)‎ . . N 2024 SSMO Relay Round 1 Problems/Problem 3 ‎ (Created page with "==Problem== Let <math>T = TNYWR.</math> In a circle, there are <math>T</math> people. <math>T-2</math> of them have red shoes, and two of them have blue shoes. First, they wi...")
• 16:01, 2 May 2025 (diff | hist) . . (+522)‎ . . N 2024 SSMO Relay Round 1 Problems/Problem 2 ‎ (Created page with "==Problem== Let <math>T = TNYWR.</math> A circular necklace is called <math>interesting</math> if it has <math>T</math> black beads and <math>T</math> white beads. A move con...")
• 16:01, 2 May 2025 (diff | hist) . . (+513)‎ . . N 2024 SSMO Relay Round 1 Problems/Problem 1 ‎ (Created page with "==Problem== Let <math>AD</math> be an altitude of triangle <math>ABC</math> and let <math>DE</math> be an altitude of triangle <math>ACD.</math> If <math>AB=29,CE=9,</math> a...")
• 15:45, 2 May 2025 (diff | hist) . . (+1)‎ . . 2024 SSMO Team Round Problems ‎ (current)
• 15:45, 2 May 2025 (diff | hist) . . (+232)‎ . . N 2024 SSMO Team Round Problems/Problem 14 ‎ (Created page with "==Problem== Let <math>a_1, a_2, \dots, a_7</math> be the roots of the polynomial <cmath>x^7+5x^6+9x^5+x^4+x^3+10x^2+5x+1.</cmath> Find the value of <cmath>\left|\prod_{n=1}^7...")
• 15:45, 2 May 2025 (diff | hist) . . (+346)‎ . . N 2024 SSMO Team Round Problems/Problem 15 ‎ (Created page with "==Problem== In triangle <math>ABC</math> inscribed in circle <math>\omega,</math> let <math>M</math> be the midpoint of <math>BC.</math> Denote <math>P</math> as the intersec...")
• 15:45, 2 May 2025 (diff | hist) . . (+1)‎ . . 2024 SSMO Team Round Problems/Problem 11 ‎
• 15:45, 2 May 2025 (diff | hist) . . (+446)‎ . . N 2024 SSMO Team Round Problems/Problem 13 ‎ (Created page with "==Problem== In a deck of 54 cards (2 identical jokers, 4 identical cards with <math>1,2,3,\dots,13</math>), each card is dealt to one of 3 people, each having a <math>\frac{1...")
• 15:44, 2 May 2025 (diff | hist) . . (+319)‎ . . N 2024 SSMO Team Round Problems/Problem 11 ‎ (Created page with "==Problem== Let <math>S</math> denote the set of positive divisors of <math>5400.</math> Let <cmath>S_i = \{d \mid d \in S, \, d \equiv i \Mod4\}</cmath> and let <math>s_i</m...")
• 15:44, 2 May 2025 (diff | hist) . . (+187)‎ . . N 2024 SSMO Team Round Problems/Problem 12 ‎ (Created page with "==Problem== What is the smallest positive integer <math>n</math> with 3 positive prime factors such that for all integers <math>k</math>, <math>k^n \equiv k \pmod n</math>?...")
• 15:44, 2 May 2025 (diff | hist) . . (+233)‎ . . N 2024 SSMO Team Round Problems/Problem 10 ‎ (Created page with "==Problem== The side-lengths of a convex cyclic quadrilateral <math>ABCD</math> are integers and <math>(AB\cdot AD+BC\cdot CD)^2=AC^2\cdot BD^2-72</math>. Find all possible v...")
• 15:44, 2 May 2025 (diff | hist) . . (+271)‎ . . N 2024 SSMO Team Round Problems/Problem 8 ‎ (Created page with "==Problem== Three integers <math>0\le a\le b\le c< 229</math> satisfy the congruence <math>n^3 \equiv 1 \pmod{229}.</math> Given that <math>71^2 - 3</math> and <math>107^2 +...")
• 15:44, 2 May 2025 (diff | hist) . . (+366)‎ . . N 2024 SSMO Team Round Problems/Problem 9 ‎ (Created page with "==Problem== Let <math>ABCDEFGH</math> be an equiangular octagon such that <math>AB=6, BC=8, CD=10, DE=12, EF=6, FG=8, GH=10,</math> and <math>AH=12</math>. The radius of the...")
• 15:44, 2 May 2025 (diff | hist) . . (+170)‎ . . N 2024 SSMO Team Round Problems/Problem 7 ‎ (Created page with "==Problem== Let <math>a</math> and <math>b</math> be real numbers that satisfy <math>a^3+8ab^2=8b^3+4a^2b=375</math>. Find <math>\lfloor ab \rfloor</math>. ==Solution==")
• 15:44, 2 May 2025 (diff | hist) . . (+283)‎ . . N 2024 SSMO Team Round Problems/Problem 6 ‎ (Created page with "==Problem== Let <math>\alpha</math>, <math>\beta</math>, and <math>\gamma</math> be the roots of the polynomial <math>x^3 - 6x^2 - 19x - n</math>. If <math>n</math> is an int...")
• 15:44, 2 May 2025 (diff | hist) . . (+557)‎ . . N 2024 SSMO Team Round Problems/Problem 5 ‎ (Created page with "==Problem== Let <math>ABC</math> be a triangle with <math>AB=AC=5</math> and <math>BC=6</math>. Let <math>\omega_1</math> be the circumcircle of <math>ABC</math> and let <mat...")
• 15:44, 2 May 2025 (diff | hist) . . (+672)‎ . . N 2024 SSMO Team Round Problems/Problem 4 ‎ (Created page with "==Problem== Let <math>ABC</math> be a right triangle with circumcenter <math>O</math> and incenter <math>I</math> such that <math>\angle ABC = 90^{\circ}</math> and <math>\fr...")
• 15:44, 2 May 2025 (diff | hist) . . (+345)‎ . . N 2024 SSMO Team Round Problems/Problem 3 ‎ (Created page with "==Problem== Consider positive integers \(N\) such that when \(N\)'s units digit and leading nonzero digit are removed, what remains is a two-digit perfect square. The average...")
• 15:44, 2 May 2025 (diff | hist) . . (+161)‎ . . N 2024 SSMO Team Round Problems/Problem 2 ‎ (Created page with "==Problem== Find the sum of the three smallest positive integers <math>n</math> where the last two digits of <math>n^4</math> are <math>01</math>. ==Solution==")
• 15:44, 2 May 2025 (diff | hist) . . (+145)‎ . . N 2024 SSMO Team Round Problems/Problem 1 ‎ (Created page with "==Problem== How many ordered triples of positive integers <math>(a, b, c)</math> satisfy the equation <math>2(a^b)^c+1=513</math>? ==Solution==")
• 15:43, 2 May 2025 (diff | hist) . . (+625)‎ . . N 2024 SSMO Accuracy Round Problems/Problem 9 ‎ (Created page with "==Problem== In the game of <math>S</math> - set, there are <math>3^{12}</math> unique cards, each card containing a 12 traits of variants <math>A,B,</math> and <math>C.</math...")
• 15:43, 2 May 2025 (diff | hist) . . (+449)‎ . . N 2024 SSMO Accuracy Round Problems/Problem 8 ‎ (Created page with "==Problem== <math>ABCD</math> is a convex cyclic quadrilateral with <math>AB = 2, BC = 5, CD = 10,</math> and <math>AD = 11.</math> Let <math>W, Y, X,</math> and <math>Z</mat...")
• 15:43, 2 May 2025 (diff | hist) . . (+631)‎ . . N 2024 SSMO Accuracy Round Problems/Problem 10 ‎ (Created page with "==Problem== Bobby is spinning a rigged wheel with three sections labeled <math>A,B,</math> and <math>C.</math> Two integers <math>0\leq x,y\leq 50</math> are chosen randomly...")

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