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Math Resources and Challenges
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Challenge Questions and Puzzles
Have a challenging question or puzzle you want to share with the community? Post it here (homework questions do NOT belong here).
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[SOLVED]
Cubic Polynomial
anemone
Jul 29, 2020
Replies
3
Views
165
Jul 30, 2020
kaliprasad
Solved Challenge
Cyclic Quadrilateral
anemone
Jul 26, 2020
Replies
1
Views
177
Jul 26, 2020
Opalg
[SOLVED]
Evaluate trigonometric sum
anemone
Jul 25, 2020
Replies
1
Views
189
Jul 25, 2020
kaliprasad
[SOLVED]
Trigonometric challenge
anemone
Jul 5, 2020
Replies
1
Views
184
Jul 25, 2020
anemone
[SOLVED]
Square number challenge
anemone
Jul 19, 2020
Replies
2
Views
237
Jul 22, 2020
kaliprasad
Unsolved Challenge
Area of triangle
anemone
Jul 11, 2020
Replies
0
Views
212
Jul 11, 2020
anemone
[SOLVED]
Inequality involving a, b, c and d
anemone
Jun 23, 2020
Replies
1
Views
206
Jul 11, 2020
anemone
[SOLVED]
Integral of trigonometric function
anemone
Jul 10, 2020
Replies
1
Views
203
Jul 11, 2020
Opalg
[SOLVED]
Integral challenge
anemone
Jul 7, 2020
Replies
2
Views
220
Jul 10, 2020
MountEvariste
A tale of two integrals
MountEvariste
Jul 9, 2020
Replies
3
Views
227
Jul 10, 2020
MountEvariste
S
System of equalities 3
solakis
Jun 29, 2020
Replies
6
Views
434
Jul 6, 2020
Monoxdifly
[SOLVED]
Triangle sides challenge
anemone
Jul 3, 2020
Replies
2
Views
204
Jul 4, 2020
Opalg
[SOLVED]
Find the square of the distance
anemone
Jun 27, 2020
Replies
1
Views
227
Jul 3, 2020
Opalg
[SOLVED]
Find f(84)
anemone
Jun 30, 2020
Replies
4
Views
273
Jul 3, 2020
kaliprasad
[SOLVED]
Find d - b
anemone
Jul 2, 2020
Replies
1
Views
179
Jul 3, 2020
kaliprasad
[SOLVED]
Largest even integer
anemone
Jul 1, 2020
Replies
2
Views
189
Jul 2, 2020
Opalg
[SOLVED]
Find |k|
anemone
Jun 26, 2020
Replies
4
Views
246
Jun 30, 2020
kaliprasad
[SOLVED]
Floor function
anemone
Jun 28, 2020
Replies
3
Views
219
Jun 29, 2020
anemone
[SOLVED]
Heptagon Challenge
anemone
Jun 20, 2020
Replies
1
Views
176
Jun 28, 2020
anemone
[SOLVED]
Prove ABC is an equilateral triangle
anemone
Jun 19, 2020
Replies
1
Views
171
Jun 28, 2020
anemone
[SOLVED]
Determine positive integers
anemone
Jun 18, 2020
Replies
1
Views
213
Jun 27, 2020
anemone
[SOLVED]
Find a and b
anemone
Jun 24, 2020
Replies
4
Views
234
Jun 26, 2020
anemone
Unsolved Challenge
Prove ∠PAB = ∠CAQ
anemone
Jun 25, 2020
Replies
0
Views
264
Jun 25, 2020
anemone
[SOLVED]
Find the area of the red region
anemone
Jun 20, 2020
Replies
2
Views
255
Jun 22, 2020
anemone
[SOLVED]
Show that K≥1
anemone
Jun 20, 2020
Replies
1
Views
319
Jun 21, 2020
Opalg
[SOLVED]
Find (x₁²+1)(x₂²+1)(x₃²+1)(x₄²+1)
anemone
Jun 9, 2020
Replies
2
Views
361
Jun 21, 2020
anemone
[SOLVED]
Find AC
anemone
Jun 11, 2020
Replies
1
Views
230
Jun 21, 2020
anemone
[SOLVED]
Find maximum b
anemone
Jun 2, 2020
Replies
2
Views
256
Jun 20, 2020
anemone
[SOLVED]
Polynomial challenge
anemone
Jun 5, 2020
Replies
1
Views
205
Jun 20, 2020
anemone
S
system of equalities
solakis
Jun 15, 2020
Replies
2
Views
183
Jun 19, 2020
solakis
S
[SOLVED]
Geometry challenge
anemone
Jun 4, 2020
Replies
3
Views
194
Jun 19, 2020
anemone
[SOLVED]
Lengths of the sides of quadrilateral
anemone
Jun 16, 2020
Replies
1
Views
177
Jun 17, 2020
Opalg
[SOLVED]
Prove 1/3≤u/v≤1/2
anemone
Jun 13, 2020
Replies
4
Views
313
Jun 16, 2020
Opalg
S
System of inequalities
solakis
Jun 12, 2020
Replies
8
Views
280
Jun 16, 2020
solakis
S
S
system of equalities
solakis
Jun 13, 2020
Replies
7
Views
203
Jun 15, 2020
topsquark
[SOLVED]
System of equations
anemone
May 30, 2020
Replies
1
Views
192
Jun 13, 2020
anemone
Unsolved Challenge
cos(π/7)
anemone
Jun 12, 2020
Replies
0
Views
261
Jun 12, 2020
anemone
Solved Challenge
Isosceles Triangle Challenge
anemone
Jun 10, 2020
Replies
2
Views
258
Jun 11, 2020
anemone
S
Set theory
solakis
Jun 10, 2020
Replies
0
Views
140
Jun 10, 2020
solakis
S
Tough inequality challenge
Opalg
Jun 4, 2020
Replies
2
Views
243
Jun 8, 2020
Opalg
[SOLVED]
Find b(a+c)
anemone
Jun 6, 2020
Replies
1
Views
195
Jun 6, 2020
kaliprasad
[SOLVED]
Inequality challenge
anemone
Jun 3, 2020
Replies
1
Views
179
Jun 3, 2020
topsquark
[SOLVED]
Find (a+b)³+(b+c)³+(c+a)³
anemone
May 31, 2020
Replies
2
Views
298
Jun 1, 2020
kaliprasad
Prove π^e>5^(1.9)
anemone
May 30, 2020
Replies
2
Views
288
May 31, 2020
anemone
Solved Challenge
Unsolved Challenge: Natural logarithm and Exponent
anemone
May 29, 2020
Replies
1
Views
165
May 29, 2020
Opalg
[SOLVED]
Evaluate the constant in polynomial function
anemone
May 27, 2020
Replies
7
Views
291
May 29, 2020
kaliprasad
[SOLVED]
Find the last digit of a series
anemone
May 26, 2020
Replies
2
Views
221
May 27, 2020
kaliprasad
Unsolved Challenge
Unsolved Challenge: Floor function
anemone
May 25, 2020
Replies
4
Views
277
May 26, 2020
topsquark
[SOLVED]
Factorials and Exponent Challenge
anemone
May 24, 2020
Replies
2
Views
235
May 25, 2020
kaliprasad
[SOLVED]
Factorize 6(x^5+y^5+z^5)-5(x^2+y^2+z^2)(x^3+y^3+z^3)
anemone
May 22, 2020
Replies
1
Views
240
May 24, 2020
Opalg
[SOLVED]
Find |f(0)|
anemone
May 19, 2020
Replies
1
Views
238
May 22, 2020
kaliprasad
[SOLVED]
Prove ∠ABP=∠ACP
anemone
May 12, 2020
Replies
4
Views
218
May 22, 2020
anemone
[SOLVED]
Find a, b, c and d
anemone
May 21, 2020
Replies
2
Views
241
May 21, 2020
anemone
[SOLVED]
Find real solutions to a system
anemone
May 20, 2020
Replies
6
Views
209
May 21, 2020
anemone
Unsolved Challenge
Unsolved Challenge: Σ(cosAcosB)>√(cosAcosBcosC)
anemone
May 17, 2020
Replies
0
Views
262
May 17, 2020
anemone
[SOLVED]
Find Integer Solutions for (A+3B)(5B+7C)(9C+11A)=1357911
anemone
May 16, 2020
Replies
3
Views
282
May 16, 2020
kaliprasad
[SOLVED]
A quite delicious inequality problem
anemone
May 11, 2020
Replies
1
Views
243
May 13, 2020
kaliprasad
[SOLVED]
Maximize 2sinxcosx/[(1+sinx)(1+cosx)]
anemone
May 7, 2020
Replies
2
Views
257
May 12, 2020
anemone
[SOLVED]
Evaluate (a+c)(b+c)(a-d)(b-d)
anemone
May 9, 2020
Replies
6
Views
338
May 11, 2020
anemone
[SOLVED]
Solve x³+3xy²=-49 and x²-8xy+y²=8y-17x
anemone
May 5, 2020
Replies
13
Views
436
May 8, 2020
kaliprasad
Unsolved Challenge
Unsolved Challenge: Trigonometric Identity
anemone
May 8, 2020
Replies
0
Views
137
May 8, 2020
anemone
[SOLVED]
Prove that △ABC is isosceles.
anemone
May 5, 2020
Replies
1
Views
183
May 7, 2020
anemone
[SOLVED]
Prove 1/(log₂π)+1/(log₅π)>2
anemone
May 5, 2020
Replies
1
Views
167
May 5, 2020
kaliprasad
[SOLVED]
Show that |q|>64
anemone
May 4, 2020
Replies
1
Views
180
May 5, 2020
Opalg
[SOLVED]
Condition for A Quartic Equation to have a Real Root
anemone
Apr 24, 2020
Replies
2
Views
235
May 4, 2020
anemone
Solved Challenge
Find $\angle ADC$
anemone
Apr 17, 2020
Replies
5
Views
385
Apr 26, 2020
anemone
[SOLVED]
Length of Shortest Side In a Triangle
anemone
Apr 24, 2020
Replies
6
Views
322
Apr 25, 2020
MarkFL
M
M
Solved Challenge
Social distancing problem
MarkFL
Apr 21, 2020
Replies
4
Views
314
Apr 24, 2020
MarkFL
M
Integers and Divisibility Challenge
anemone
Apr 20, 2020
Replies
1
Views
249
Apr 24, 2020
anemone
Numbers with a quadratic property
Opalg
Apr 13, 2020
Replies
3
Views
533
Apr 20, 2020
Opalg
[SOLVED]
x-coordinates of Optimization Points for Polynomial Function: f(x)=(x-1)^4+(x-2)^4+...+(x-n)^4
anemone
Apr 18, 2020
Replies
1
Views
196
Apr 20, 2020
castor28
Solved Challenge
Roots of a Polynomial Function A²+B²+18C>0
anemone
Apr 15, 2020
Replies
4
Views
468
Apr 17, 2020
anemone
[SOLVED]
Inequality of cubic and exponential functions
anemone
Apr 13, 2020
Replies
1
Views
375
Apr 17, 2020
kaliprasad
J
value of k in definite Integration
jacks
Feb 14, 2020
Replies
0
Views
630
Feb 14, 2020
jacks
J
Definite Integral Challenge
lfdahl
Aug 20, 2019
Replies
6
Views
2K
Feb 1, 2020
MountEvariste
Number theory problem #1
MountEvariste
Dec 31, 2019
Replies
1
Views
865
Jan 4, 2020
Opalg
Can we apply here logic?
Dhamnekar Winod
Dec 23, 2019
Replies
1
Views
892
Dec 26, 2019
Dhamnekar Winod
J
Exponential series limit
jacks
Nov 25, 2019
Replies
3
Views
1K
Nov 25, 2019
Klaas van Aarsen
J
limit
jacks
Nov 13, 2019
Replies
7
Views
1K
Nov 25, 2019
jacks
J
J
Limit with Integration
jacks
Mar 15, 2019
Replies
1
Views
1K
Nov 13, 2019
jacks
J
S
inequality
solakis
Oct 20, 2019
Replies
7
Views
2K
Nov 9, 2019
solakis
S
S
axiomatics
solakis
Nov 1, 2019
Replies
0
Views
994
Nov 1, 2019
solakis
S
S
Geometrical problem
solakis
Oct 19, 2019
Replies
1
Views
1K
Oct 22, 2019
solakis
S
S
logic problem
solakis
Oct 17, 2019
Replies
3
Views
1K
Oct 19, 2019
solakis
S
S
high school inequality |(√(sinx)+1)^2−(√(sina)+1)^2|<b
solakis
Sep 27, 2019
Replies
4
Views
2K
Sep 28, 2019
solakis
S
S
high school inequality 2 |x^2y-a^2b|<A
solakis
Sep 28, 2019
Replies
1
Views
653
Sep 28, 2019
Opalg
S
Quadrilateral Divider
Satya
Sep 16, 2019
Replies
4
Views
993
Sep 17, 2019
Satya
S
Multiple consists of only 6's and 7's
Klaas van Aarsen
Sep 12, 2019
Replies
11
Views
2K
Sep 16, 2019
Satya
S
Multiple consists of only 1's
Klaas van Aarsen
Sep 11, 2019
Replies
4
Views
829
Sep 12, 2019
Klaas van Aarsen
Trigonometric Sum Challenge Σtan^(-1)(1/(n^2+n+1)=π/2
lfdahl
Sep 4, 2019
Replies
3
Views
993
Sep 8, 2019
lfdahl
Volume of the solid obtained by rotating R around the line y=x
lfdahl
Sep 2, 2019
Replies
2
Views
701
Sep 4, 2019
lfdahl
Maximize the sum of squared distances
lfdahl
Aug 11, 2019
Replies
1
Views
499
Aug 20, 2019
lfdahl
Probability challenge Prove that the probability there is only one winner is at least 2/3
lfdahl
Aug 3, 2019
Replies
4
Views
831
Aug 15, 2019
steep
S
Find the possible values of k: x+1/y=y+1/z=z+1/x=k
lfdahl
Aug 2, 2019
Replies
2
Views
772
Aug 3, 2019
lfdahl
Determine all possible values a/(a+b+d)+b/(a+b+c)+c/(b+c+d)+d/(a+c+d)
lfdahl
Jul 26, 2019
Replies
2
Views
770
Jul 29, 2019
lfdahl
Limit of integral challenge of (e^(-x)cosx)/(1/n+nx^2)
lfdahl
Jul 22, 2019
Replies
2
Views
684
Jul 25, 2019
lfdahl
L
Static Analysis of Truss
littlemac
Jul 2, 2019
Replies
0
Views
463
Jul 2, 2019
littlemac
L
L
Electrical Engineering Problem
littlemac
Jul 2, 2019
Replies
1
Views
512
Jul 2, 2019
skeeter
S
Constractive dilemma
solakis
Jun 22, 2019
Replies
1
Views
707
Jun 28, 2019
solakis
S
Unsolved Challenge
Challenge Problem #7: Σ(x/(y^3+2))≥1
Olinguito
May 20, 2019
Replies
2
Views
894
Jun 22, 2019
topsquark
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