Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Algebra ->  Polynomials-and-rational-expressions -> Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!      Log On


   



Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)


Question 71314: Help
Solve 5x-25=0

Click here to see answer by sudhir(14) About Me 

Question 71316: Solve 49x^2-4
Click here to see answer by sudhir(14) About Me 

Question 71310: Factor 140 into the product of primes
Click here to see answer by galactus(183) About Me 

Question 71321: factor x^2-3x-18
Click here to see answer by galactus(183) About Me 

Question 71331: ``Find the product: (3x + 5)(4x - 1)
Which of the following is the equation of a vertical line?
x = y
y = -4
y = 3x + 2
x = 8
Simplify: (-3a2b5)2
Find (x - 4)2



All work needed to arrive at a correct answer. If it is not a question that requires work, you will need to provide a complete explanation of how you determined the correct answer. (Explanations for those problems not requiring work must demonstrate your understanding of the concept.)
The correct answer.


Click here to see answer by stanbon(75887) About Me 

Question 71349: 5(2z-4)=9(z+4)
Click here to see answer by checkley75(3666) About Me 

Question 71367: Can you please help me in solving this problem...instructions...find the value of each of the following polynomials for the given values of the variable.
-x^2-5x-6, x=-3 and x=-2

Click here to see answer by checkley75(3666) About Me 

Question 71370: 4x^2+4x-3
Click here to see answer by checkley75(3666) About Me 

Question 71376: 6x2-3x-45=0
Click here to see answer by galactus(183) About Me 

Question 71386: How doe you solve these 4/a-7=-2a/a+3
Click here to see answer by checkley75(3666) About Me 
Question 71386: How doe you solve these 4/a-7=-2a/a+3
Click here to see answer by stanbon(75887) About Me 

Question 71425: Add or Subtract as indicated. Express your results in simlplest form.
2%2F%285w%2B10%29-3%2F%282w-4%29
I came up with an anwer of -%2811w+%2B38%29%2F%2810%28w%2B2%29%29%28w-2%29
Is this correct?
Thanks

Click here to see answer by jim_thompson5910(35256) About Me 

Question 71431: how do i add and/or subtract polynomials?
ex:: (5x-12)-(2x-7)
ex:: (24m-13)-(18m+7)+(6m-4)
Please help me solve these, i would very much apriciate it. thank you

Click here to see answer by Earlsdon(6294) About Me 

Question 71429: Add or Subtract as indicated. Express your result in simplest form.
4y%2F%28y%5E2%2B6y%2B5%29%2B2y%2F%28y%5E2-1%29
The answer I came up with for this problem was:6y%2F%28y%2B5%29%28y-1%29
I was wondering if I was doing this correctly.
Thanks.

Click here to see answer by Earlsdon(6294) About Me 

Question 71426: Add or Subtract as indicated. Express your results in simlplest form.
3%2F%28x%5E2%2B4x%2B3%29-1%2F%28x%5E2-9%29
I came up with an anwer of 2%28x-5%29%2F%28x-1%29%28x%2B3%29%28x-3%29
Is this correct?
Thanks

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 71478: All work needed to arrive at a correct answer. If it is not a question that requires work, you will need to provide a complete explanation of how you determined the correct answer. (Explanations for those problems not requiring work must demonstrate your understanding of the concept.)
The correct answer

If x varies directly as y and x is 25 when y is 5, find the constant of variation.
Which of the following relations is NOT a function?
(2,1), (1,-2), (-3,2), (2,-3)
(2,-1), (-1,2), (-2,3), (3,-2)
(-3,-2), (-1,0), (0,1), (1,2)
(-2,1), (-1,2), (1,1), (2,3)
This equation, 6x + 3y = 15, crosses the y axis at ______.
The sum of three consecutive ODD integers is 75.
Write the equation you would use to find these integers.

Click here to see answer by stanbon(75887) About Me 

Question 71519: 9x2+6x+1
Click here to see answer by Edwin McCravy(20054) About Me 

Question 71427: the length of a rectangle is 3 times the width. If the width were increased by 4 and the length remains the same the resulting rectangle would have an area of 231 sq.inches. find the dimension of the original.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 71558: The book is not helping me. Someone please help and show me how to do this
Given f(x) = 5x +7 and g(x) = x2 + 7, Find .
possible answers:
=5 x 2 + 7
. = 5 x 2 +42
. = (5x)2 + 14
.= 25 x 2 + 70x + 56
Thank you

Click here to see answer by stanbon(75887) About Me 

Question 71552: can you give three examples of something you do, that process using a polynomial?
I can give the examples of somethhing we would possibly use them, but not sure how to confidently answer this question, and need some assistance. Thanks

Click here to see answer by venugopalramana(3286) About Me 

Question 71518: I don't get how to solve the problem.At all!
Click here to see answer by mathman409(67) About Me 

Question 71624: Directions : Add or subtract as indicated. Express your result in simplest form.
#58
(3)/(x^2+4x+3) minus (1)/(x^2-9)
#62
(4y)/(y^2+6y+5) plus (2y)/(y^2-1)

Click here to see answer by checkley75(3666) About Me 

Question 71621: Directions for #8,28
Factor each polynomial completely. to begin, state which method should be applied as the first step. then continue the exercise and factor each polynomial completely.
#8
2p-6q+pq-3q^2
#28
m^4-9n^4
Directions for #32
Factor completely
9x^2+12xy+4y^2-25

Click here to see answer by stanbon(75887) About Me 

Question 71614: #70 SEC.4.3
Directions: Find each of the following polynomial completely.
-3s^2-10s+8

Click here to see answer by checkley75(3666) About Me 

Question 71601: can you please help me with this: Place the polynomials in the correct descending order in terms of x.
17. 1 + x^3 + x^5 + x^2+ z^3x

Click here to see answer by checkley75(3666) About Me 

Question 71616: sec.4.4
Directions: determine whether each of the following trinomials is a perfect square. If it is, factor the trinomial.
#48
x^2-24x+48
#54
16x^2+40xy+25y^2

Click here to see answer by stanbon(75887) About Me 

Question 71600: Can you please help me solve this: Which term in each of the following has the lowest degree in x?
5x^2 - 3x^3 + 7 + 2x - a^3x + 8x^6

thank you so much!

Click here to see answer by checkley75(3666) About Me 

Question 71669: I have a question that I can't figure out.
It's 4y to the sixth minus 14y to the fifth minus 144y to the third equals 0. I am supposed to find all six degrees of x. How do I do this. So my teacher say there should be six answers.
Thank you for your help.
Amy

Click here to see answer by stanbon(75887) About Me 

Question 71691: can you please assist me with solving problem...instructions...
7x^2 + 5x from 9x^2 - 3.

Click here to see answer by bucky(2189) About Me 

Question 71707: factor
125x^3+y^3

Click here to see answer by funmath(2933) About Me 

Question 71714: Please help!, we worked on this problem for 2 hrs last night.
x^2+x+2 /x+2
_____________
X^2+4X+3 /x+3
The book says the answer is "1",but we can't get there. Thanks for your assistance, Carol

Click here to see answer by funmath(2933) About Me 

Question 71693: can you please assist me in completing the equation...instructions...business and finance.
the price of an item is given by p=2x^2-100. find the polynomial that represents the revenue generated from the sale of x items.

Click here to see answer by stanbon(75887) About Me 

Question 71732: This is from Beginning Algebra 6th edition, chapter 4 ,section 4.4 #60. I am having a hard time figuring this one out. I hope that you can help. Thank you for your time.
Factor each expression...
a ^ 2 ( b - c ) - 16 b ^ 2 ( b - c )

Click here to see answer by stanbon(75887) About Me 

Question 71738: I've tried to do this and every time i either forget a step or get a different answer.
Factor and solve the following equation:
21x2 - 19x - 22 = 0

Please help! thanks

Click here to see answer by funmath(2933) About Me 

Question 71751: The question is worded:
Factor the following:
x(x+1)^4+(x+1)^5
Thanks in advance for your help!

Click here to see answer by funmath(2933) About Me 

Question 71754: What is the answer to the following problem:
3x-2y-x-3x
Thank you!

Click here to see answer by checkley75(3666) About Me 

Question 71792: someone please show or explain the easiest way to understand this
Find the polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.
Possible answers:
x3 - 3x2 -x +3
.x3 -3x2 + x -3
.x3 +3x2 +x +3
.x3 + 3x2 +x +3
Thanks to anyone who can help me

Click here to see answer by stanbon(75887) About Me 
Question 71792: someone please show or explain the easiest way to understand this
Find the polynomial with leading coefficient 1 and degree 3 that has -1, 1, and 3 as roots.
Possible answers:
x3 - 3x2 -x +3
.x3 -3x2 + x -3
.x3 +3x2 +x +3
.x3 + 3x2 +x +3
Thanks to anyone who can help me

Click here to see answer by Edwin McCravy(20054) About Me 

Question 71793: someone please show or explain the easiest way to understand this
Find the polynomial f(x) of degree 3 that has zeroes at 1,2, and 4 such that f(0) = -16.
Possible answers:
f(x) = x^3 -7x^2 +14x -16
f(x) = 2x^3 -14x^2 +28x -16
f(x) = 2x^3 -14x^2 +14x -16
f(x) = 2x^3 +7x^2 +14x +16
Thanks to anyone who can help me

Click here to see answer by stanbon(75887) About Me 

Question 71795: someone please show or explain the easiest way to understand this
express the following statement as a formula with the value of the constant of proportionality determined with the given conditions: w varies directly as x and inversley as the square of y. If x =15 and y=5, then w = 36.
Possible answers:
w = 3 x/y^2
w = 12 x/y^2
w = 36 x/y^2
w = 60 x/y^2
Thanks to anyone who can help me. This is way way over my head

Click here to see answer by stanbon(75887) About Me 

Question 71797: Find the roots of the polynomial x3 -x2 +16x -16
Please explain also.
Thank you

Click here to see answer by Nate(3500) About Me 

Question 71825: I need help!
Express as a polynomial
(x+a)[x^2-ax/x]
How do I figure this out?

Click here to see answer by stanbon(75887) About Me 

Question 71837: can you assist me in solving this problem...instructions...perform the indicated divisions.
x^2 - 2x - 35/x + 5

Click here to see answer by stanbon(75887) About Me 

Question 71849: The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and +4i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
AND
for the function f(x) shown in the earlier problem, find the domain and range of f^-1(x)

Click here to see answer by venugopalramana(3286) About Me 

Question 71871: Need help with soving the following prime factorization problem:
Not sure of the steps.
1.)9t^2+36t
2.)14zx-18xz^2
Thanks

Click here to see answer by tutorcecilia(2152) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105