Questions on Algebra: Equations answered by real tutors!

Algebra ->  Equations -> Questions on Algebra: Equations answered by real tutors!      Log On


   



Tutors Answer Your Questions about Equations (FREE)


Question 366516: how do I determine if x^2-3x+3=0 is a quadratic equation has two rational solutions,two irrational solutions, one repeated real solution,or two complex solutions that are not real.
Click here to see answer by stanbon(75887) About Me 

Question 366528: what number should be added to complete the square of the expression x^2-6x?
Click here to see answer by Fombitz(32388) About Me 

Question 366588: 12-5u=-48
Click here to see answer by jim_thompson5910(35256) About Me 

Question 366610: 7 + 6/a =5
Click here to see answer by ewatrrr(24785) About Me 

Question 366658: solve 4k-3=3k+14
Click here to see answer by jim_thompson5910(35256) About Me 

Question 366634: Solve for a using the addition and multiplication principles. 14-6a=-2a+3
Click here to see answer by jim_thompson5910(35256) About Me 

Question 366688: A=2.589R^2 solve for R
Click here to see answer by edjones(8007) About Me 

Question 366703: A children's inflatable pool takes 22 minutes to fill with an electrical pump. It takes 49 minutes to let the air out of the pool. If the pool's valve is accifentally left open, how long will it take to fill the pool?
Click here to see answer by mananth(16946) About Me 

Question 366700: Can you convert this sentence into an algebraic equation and then solve it
5 more than twice a number is 29

Click here to see answer by mananth(16946) About Me 

Question 366742: The length of a rectangle is 6 feet more than twice the width. If the length is 24 feet, what is the width?
Click here to see answer by mananth(16946) About Me 

Question 366830: can you please help me to solve this equation?
400r=x^2-40x+400
i want the answer in r

Click here to see answer by Alan3354(69443) About Me 

Question 366859: 4x-7=13
Click here to see answer by stanbon(75887) About Me 

Question 366876: ½(y-2)+2 =3/8(3y-4)

I am so confused with this problem. can you show me how to solve it step by step.
Thank you
Michelle

Click here to see answer by ewatrrr(24785) About Me 

Question 366902: The sum of two consecutive odd integers is 112. find the integers.
Click here to see answer by crstricker78(1) About Me 

Question 366907: find three consecutive odd integers such that their sum decreased by the second equals 50.
Click here to see answer by ewatrrr(24785) About Me 

Question 366953: Rational Function of g(x) = -(x-9)/45
Click here to see answer by Fombitz(32388) About Me 

Question 366941: the length of a rectangle is 4 times its width. the perimiter of the rectangle is 32 feet.waht are the rectangles length and width
Click here to see answer by rfer(16322) About Me 

Question 366976: please explain how to calculate
v-4(4-v)=-2(2v-1)
thank you

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

Question 366877: solve for x and show all the steps:
7(x+4)-10=3x+20+4x-2
Then, show all the steps to CHECK YOUR SOLUTION!
You will find something "odd" here that has to do with "infinity".
What is it?
What does it mean when "x" can be an "infinite" number of values?

Click here to see answer by robertb(5830) About Me 

Question 366967:
2y + 1/y^2 - y -6

Click here to see answer by Fombitz(32388) About Me 

Question 366970: Simplify (6x^5 - 48x^2)/12x^3 + 24x^2 + 48x)
Click here to see answer by mananth(16946) About Me 

Question 366947: The Cancer rate (number of deaths per 100,000 people) in the united states can be approximated by the equation y= -2.2x +216, where x is the number of years since 1990.solve this equation for x. Use this new equation to determine in which year the approximate cancer death rate will be 150
Click here to see answer by nyc_function(2741) About Me 

Question 367049: I need help with problems such as the one below, which is a practice problem. If I can have someone show me step by step instructions I'm sure I can complete the rest of my math assignment.
-3x+8= -4
Thank you!!!

Click here to see answer by mananth(16946) About Me 

Question 367051: Please help!!
Can someone help me solve the math problem below please?
4x+3=3x+6
Thank you!!!!

Click here to see answer by mananth(16946) About Me 

Question 367052: I really appreciate the help and have attempted to solve the problem below.
Did I do this correctly?
Please help...
-2(4x+1)=24
my answrer: -13/16
Any Suggestions?

Click here to see answer by mananth(16946) About Me 

Question 367038: Can someone please help me solve this problem
Evaluate -(5z2) and -5z2 when z=8

Click here to see answer by robertb(5830) About Me 

Question 367068: 12x+7=9x+25
what is x? How do you figure it out

Click here to see answer by Theo(13342) About Me 

Question 367153: Hello, I have to use 'completing the square' to put this equation into standard form, find the vertex, x- and y-intercepts.
2x%5E2%2B16x%2B9
I completed the square like this:
2x%5E2%2B16x%2B9
x%5E2+%2B+8x+=+%28-9%2F2%29
x%5E2%2B8x%2B16=%2823%2F2%29
x%2B4=sqrt%2823%2F2%29
x=-4 +/- sqrt%2823%2F2%29
From here, I'm not sure how to put in standard form, but I know that once I have it in standard form, the vertex is (h,k).
Didn't I also find the x-intercept when I made the equation equal to zero to complete the square?
I plugged 0 in for x and solved for y to get y-intercept = 9.
If you could please show me how to finish completing the square to put in standard form, and also how I find the x-intercept I would greatly appreciate it! Thanks so much for your valuable time :)

Click here to see answer by ewatrrr(24785) About Me 

Question 367111: Can you help me solve this problem please?
8x + 2 = 8 – 3x - 15

Click here to see answer by Jk22(389) About Me 

Question 367163: If Kevin can do a job in five hours and Carrie can do the same job in 4 hours how long will it take for them to do the job together? Could you please explain your answer as well
Click here to see answer by Earlsdon(6294) About Me 

Question 367166: Hi there, I have to find the quadratic equation that has vertex (-1, -3) and y-intercept (0, 1).
I plugged the vertex into the vertex form and got
a%28x+%2B+1%29%5E2+-+3
Then I plugged in the given y-intercept and solved for a
-1+=+a%280+%2B+1%29%5E2+-+3
a+=+2
So my vertex form will be 2%28x%2B1%29%5E2-3. Converting this to general form...
2%28x%5E2+%2B+2x+%2B+1%29+-+3
%282x%5E2+%2B+4x+%2B+2%29+-+3
2x%5E2+%2B+4x+-+1
Did I do this correctly? I've never seen a problem like this and couldn't find an example in the book. Thanks for your time and have a good day :)

Click here to see answer by ewatrrr(24785) About Me 

Question 367279: 2x+x=36
Click here to see answer by jim_thompson5910(35256) About Me 

Question 367281: The sum of twice a number and 4 less than the number is the same as the diffrence between -32 and the number. What is the number?
Click here to see answer by ewatrrr(24785) About Me 

Question 367252: Find the y-intercept.
-2x - y = -10 (Points : 1)
(10, 0)
(5, 0)
(0, 5)
(0, 10)

Click here to see answer by rfer(16322) About Me 

Question 367314: Good evening, I'm having trouble finding the x-intercept of the following equation:
2x%5E2%2B16x%2B9
I already managed to complete the square to get the vertex form:
2%28x%2B4%29%5E2+-+23
The y-intercept is 9, obtained by plugging 0 in for x and solving for y.
The vertex is (4, -23), but I don't understand how to find the x-intercept. I graphed the equation and the x-intercepts are somewhere around (-7.5, 0) and (-0.6, 0) but I have no idea how to calculate these. Please help! Your time is much, MUCH appreciated :)

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

Question 367321: Hi, I'm new to synthetic division and want to make sure I'm doing this right:
x%5E3+-+6x%5E2+-+3x+%2B+1 / x+%2B+2
-2_|____1____-6____-3____1
___|_________-2____16___-26
________1____-8____13___-25
x%5E2+-+8x+%2B+13, remainder = -25
Fingers are crossed that I understand this correctly :) Thanks so much for your time and have a great night!

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

Question 349299: 2h-12=5h
Click here to see answer by algebrastudent611(8) About Me 

Question 365792: 7x +2y =5
Click here to see answer by algebrastudent611(8) About Me 

Question 367374: Find ALL possible rational zeros, do not solve:
3x%5E5%2B7x%5E3-3x%5E2%2B2
Constant: 2
Factors: 1, 2
Leading Coefficient: 3
Factors: 1, 3
1%2F3, 2%2F3, 1, 2
Is that all I have to do for the rational zero test?
Thanks in advance for your time!

Click here to see answer by jim_thompson5910(35256) About Me 
Question 367374: Find ALL possible rational zeros, do not solve:
3x%5E5%2B7x%5E3-3x%5E2%2B2
Constant: 2
Factors: 1, 2
Leading Coefficient: 3
Factors: 1, 3
1%2F3, 2%2F3, 1, 2
Is that all I have to do for the rational zero test?
Thanks in advance for your time!

Click here to see answer by robertb(5830) About Me 

Question 367286: A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 36 marbles in it. At least how many green marbles does it have?
Click here to see answer by robertb(5830) About Me 

Question 367357: Hi there, I have to find the quadratic equation that has vertex (-1, -3) and y-intercept (0, -1).
I plugged the vertex into the vertex form and got
a%28x+%2B+1%29%5E2+-+3
Then I plugged in the given y-intercept and solved for a
-1+=+a%280+%2B+1%29%5E2+-+3
a+=+2
So my vertex form will be 2%28x%2B1%29%5E2-3. Converting this to general form...
2%28x%5E2+%2B+2x+%2B+1%29+-+3
%282x%5E2+%2B+4x+%2B+2%29+-+3
2x%5E2+%2B+4x+-+1
Did I do this correctly? I've never seen a problem like this and couldn't find an example in the book. Thanks for your time and have a good evening :)

Click here to see answer by jim_thompson5910(35256) About Me 
Question 367357: Hi there, I have to find the quadratic equation that has vertex (-1, -3) and y-intercept (0, -1).
I plugged the vertex into the vertex form and got
a%28x+%2B+1%29%5E2+-+3
Then I plugged in the given y-intercept and solved for a
-1+=+a%280+%2B+1%29%5E2+-+3
a+=+2
So my vertex form will be 2%28x%2B1%29%5E2-3. Converting this to general form...
2%28x%5E2+%2B+2x+%2B+1%29+-+3
%282x%5E2+%2B+4x+%2B+2%29+-+3
2x%5E2+%2B+4x+-+1
Did I do this correctly? I've never seen a problem like this and couldn't find an example in the book. Thanks for your time and have a good evening :)

Click here to see answer by edjones(8007) About Me 

Question 367388: 3/4a +16=2-1/8a
Click here to see answer by rfer(16322) About Me 

Question 367409: i have an equation of
-x-2y=2
and i have to convert each equation into a slope intercept and i have the answer but i just dont know how to get it.
can anyone help me? and show me the steps of how to do it??

Click here to see answer by rfer(16322) 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, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580