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

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


Question 245900: (x˛ + 8x – 16)/(x+4)
The answer I have is x+8-16 but I am not confident this is correct…can someone please show me where I am going wrong…thanks so much 

Click here to see answer by solver91311(24713) About Me 

Question 245924: i need to know the solution set for this rational equation
4/x=16/5x+4
thanks

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

Question 245930: I'm not sure how to do this problem...
In a physics experiment, a ball is dropped off a 144-ft platform. The height of the ball above the ground is given by the equation h=-16t^2+144
where h is the ball's height in feet, and t is the time in seconds after the ball is dropped (t is > or = 0)
Find the time required for the ball to hit the ground.(Let h =0)

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

Question 245934: The product of the page numbers on two facing pages of a book is 132. Find the page numbers.
Click here to see answer by Alan3354(69443) About Me 
Question 245934: The product of the page numbers on two facing pages of a book is 132. Find the page numbers.
Click here to see answer by dabanfield(803) About Me 

Question 245969: I was wondering if you could show me how to factor this equation: 7a2+53a+28
This is the work I got to but then I could go no father.
I used the x-box to find the answer.
After the x-box I got
(a+7)(7a+7)
7a2+56a+28 which does not equal the original question.
(when it says 7a2 it means 7 times a squared)

Click here to see answer by jim_thompson5910(35256) About Me 
Question 245969: I was wondering if you could show me how to factor this equation: 7a2+53a+28
This is the work I got to but then I could go no father.
I used the x-box to find the answer.
After the x-box I got
(a+7)(7a+7)
7a2+56a+28 which does not equal the original question.
(when it says 7a2 it means 7 times a squared)

Click here to see answer by solver91311(24713) About Me 
Question 245969: I was wondering if you could show me how to factor this equation: 7a2+53a+28
This is the work I got to but then I could go no father.
I used the x-box to find the answer.
After the x-box I got
(a+7)(7a+7)
7a2+56a+28 which does not equal the original question.
(when it says 7a2 it means 7 times a squared)

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

Question 245983: I need help on how to do this problem, please someone help me, i need to know this
Factor by grouping. Factor out GCF first.
x^3y^2 - 2x^2y^2 + 3xy^2 - 6y^2

Click here to see answer by richwmiller(17219) About Me 
Question 245983: I need help on how to do this problem, please someone help me, i need to know this
Factor by grouping. Factor out GCF first.
x^3y^2 - 2x^2y^2 + 3xy^2 - 6y^2

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

Question 245982: 2(a+3a)-78-3b= -14

Click here to see answer by richwmiller(17219) About Me 

Question 245989: Can someone provide me with the steps to this problem?
Factor by grouping. Factor out GCF first.
-4abc-4ac^2+2bc+2c^2

Click here to see answer by checkley77(12844) About Me 
Question 245989: Can someone provide me with the steps to this problem?
Factor by grouping. Factor out GCF first.
-4abc-4ac^2+2bc+2c^2

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

Question 245974: I need help with this crazy problem. Please help.
Factor the polynomial by factoring out the negative of the GCF.
-34x4y3z2 + 32x3y2z - 68x2y

Click here to see answer by ripplemehta(3) About Me 

Question 246028: (4x+1)(2x+7)
Multiply and show all steps.

Click here to see answer by marcsam823(57) About Me 

Question 246095: how do I solve 8x^3-10x^2-x+3 divided by 2x+11?
i have the correct answer, but can't seem to solve for the same answer.

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

Question 246027: (2t^2-5t-4)(3t^2-7+1/2)
(two T squared minus 5T minus 4)(three T squared minus 7 plus one half)
Multiply and Check. Show all steps.

Click here to see answer by checkley77(12844) About Me 

Question 246158: (2t^2-5t-4)(3t^2-t=1/2) Multiply and Check. Show all work.
I am so confused on these....please help.

Click here to see answer by checkley77(12844) About Me 

Question 246224: (4x+1)(2x+7)
Multiply. Show work and steps.
(this was my answer but its wrong....what did I do wrong?)
(4x+1)(2x+7)
(F) 4*2=8x
(O) 4*7=28x
(I) 1*2=2x
(L) 1*7= 7
8x+28x+2x+7
=38x+7

Click here to see answer by rfer(16322) About Me 
Question 246224: (4x+1)(2x+7)
Multiply. Show work and steps.
(this was my answer but its wrong....what did I do wrong?)
(4x+1)(2x+7)
(F) 4*2=8x
(O) 4*7=28x
(I) 1*2=2x
(L) 1*7= 7
8x+28x+2x+7
=38x+7

Click here to see answer by blwinbbbles(106) About Me 

Question 246155: My problem is to solve 2- (a-4/a+4)=(a^2-8/a+4)I think I need to multiply each side of the equation by a+4 to eliminate fractions. So I end up with (a+4)*2-(a-4)=a^2-8. That's as far as I've gotten. I would really appreciate any help to complete the problem. Thank you.
Click here to see answer by edjones(8007) About Me 

Question 246340: (2t^2-5t-4)(3t^2-7+1/2) Multiply and show work. Check Answer.


This is what I did and the teacher says its still wrong....please help?
(2t^2-5t-4)
(3t^2-6.5)
6t^4-15t^3-12t-13t^2+32.5t+26
6t^4-15t^3-13t^2+20.5t+26

Click here to see answer by richwmiller(17219) About Me 

Question 246548: Ok, I need some practice and help could someone provide me with the steps to this problem?

Find the slope of the line passing through the points (5, 7) and (-7, -12).

I know the formula is y2-y1/x2-x1

Here's what i got:
-12-7/ 7-5
Here's the answer that I got -19/-12
I think this isn't right because when i divide them I got a decimal.

Click here to see answer by richwmiller(17219) About Me 

Question 245967: Let the average number of vehicles arriving at the gate of an amusement park/ min be equal to k, and let the average number of vehicles admitted by the park attendants be equal to r. Then, the average waiting time T (in mins) for each vehicle arriving at the park is given by the rational function defined by T(r)=2r-k/2r^2-2kr where r is greater than K.
a. K is equal to 25 use graphing to estimate rate r that is necessary to keep the average waiting T to 30 secs.
b. if the park attendant can serve 5.3 vehicles/min, how many park attendants will be needed to keep the average wait to 30 secs.

Click here to see answer by mary1010(1) About Me 

Question 246643: Find all numbers for which the rational expression is undefined t^3-6t/t^2-9
Click here to see answer by stanbon(75887) About Me 

Question 246709: Factor the trinomial.
m^2-mn-132n^2

Click here to see answer by jsmallt9(3758) About Me 

Question 246647: If one pump can empty a flooded basement in 18 hours and a second pump can empty the basement in 24 hours, how long will it take if both pumps are working together?
Click here to see answer by checkley77(12844) About Me 

Question 246719: Factor by grouping. Factor out GCF first
x^3y^3-2x^2y^2+3xy^2-6y^2
Help is greatly appreciated, thank you in advance.

Click here to see answer by richwmiller(17219) About Me 

Question 246837: Please help me solve this equation 3/4=5/8 x
Click here to see answer by Theo(13342) About Me 

Question 246879: how do I solve 5/y+4=2/y
Click here to see answer by richwmiller(17219) About Me 

Question 246876: r not equal to +-2, r^2-5r+6/r^2-4=
Click here to see answer by stanbon(75887) About Me 

Question 246914: please help me solve this (-5d-1)-(5d+6)
Click here to see answer by unlockmath(1688) About Me 
Question 246914: please help me solve this (-5d-1)-(5d+6)
Click here to see answer by richwmiller(17219) About Me 

Question 246977: Find the average rate of change of x^2+5x from x1=3 and x2=6
thanks!

Click here to see answer by nerdybill(7384) About Me 
Question 246977: Find the average rate of change of x^2+5x from x1=3 and x2=6
thanks!

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

Question 246714: Factor the polynomial.
x^3-y^9

Click here to see answer by josmiceli(19441) About Me 

Question 246706: Write the terms of the trinomial 40-t-35t^2 in descending powers of the variable.
Thank You in advance.

Click here to see answer by solver91311(24713) About Me 

Question 246618: factor
1. x3+ax+3a+3x3

2. 18z+45+z2
3. h2+9hs+9s2
4.3x3y2-3x2y2+3xy2

Click here to see answer by unlockmath(1688) About Me 

Question 247150: I am a little lost on how to do this problem, im supposed to combine all operations to solve but I cannot seem to nail it. Any help would be great 6x^2+8x-7/-x
Click here to see answer by stanbon(75887) About Me 

Question 247177: A car travels from one town to another at a speed of 32mph. If it had gone 4mph faster, it could have made the trip in 1/2 hr less time. How far apart are the towns?
Click here to see answer by richwmiller(17219) About Me 

Question 247194: When asked to factor completely a certain polynomial, four students gave the following answers: 3(x^2-2x-15); (3x-5)(5x-15); 3(x-5)(x-3) and (3x-15)(x-3).Which one is the correct answer? Why?
Click here to see answer by Alan3354(69443) About Me 
Question 247194: When asked to factor completely a certain polynomial, four students gave the following answers: 3(x^2-2x-15); (3x-5)(5x-15); 3(x-5)(x-3) and (3x-15)(x-3).Which one is the correct answer? Why?
Click here to see answer by College Student(505) About Me 

Question 247189: I have a worksheet that tells me to simplify the polynomials and assume that no denominator is equal to zero. The problems look like this: (x^2+7x-18)/(x^2+4x-45)
Click here to see answer by College Student(505) About Me 

Question 247199: Good morning guys:)
I have an equation that says
The N is an exponent yet I will write it as 4n since I don't know how to do otherwise)
The 3 is an exponent=3rd power
The whole n+2 is an exponent.
The 42 is not 42 but 4 to the second power.
The n-1 is an exponent

Solve for N: (4n)3 (2n+2)=(42)n-1
Confusing I know
So I tried the foil method yet it didn't work. So then I multiplied
(4)(2)(4) and got 32 which I then divided by three and got 14.
Then I added exponents
3+2+2 which equals 7.
14 divided by 7 equals 2 which I chose as my answer.
I'm not sure this makes any sense yet any help would be welcome.
Thank you.

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

Question 247251: x^2+3x+2 how would I factor this, meaning how will I break it down to (x+?)(x+?). Please help.
Click here to see answer by scott8148(6628) 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