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

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Question 978074: I need help for my activities!! Please.Thank youd
a. -18 - [-4 - (8)]
b. -{16x - (12 - 3x)}
c. -{-9 - [-12 - (7)]} - [-15 - (-2)]
d. - {5y - [8x - (5y + 7x)]} = - {-5y - [8x - 5y -7x]}= -{5y - 8x + 5y +7x}
e. - 3(x - 2y) - (3x + 4y) - (-2x - 2y)

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Question 978056: Is a polynomial in x the same as a polynomial in the variable x?
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Question 978062: Is a polynomial in x the same as a polynomial in the variable x?
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Question 978063: Is a polynomial in x the same as a polynomial in the variable x?
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Question 978058:
1) Is a polynomial in x the same as a polynomial in the variable x?


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Question 978073: How to factorize it √3*x^2+11*x+6*√3
Sol: √3*x^2+2*x+9*x+6*√3
But then?

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Question 978073: How to factorize it √3*x^2+11*x+6*√3
Sol: √3*x^2+2*x+9*x+6*√3
But then?

Click here to see answer by josgarithmetic(39616) About Me 
Question 978073: How to factorize it √3*x^2+11*x+6*√3
Sol: √3*x^2+2*x+9*x+6*√3
But then?

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

Question 978100: Here's the question and part of the solution.
How many ordered pairs (x,y) satisfy this system of equations:
x = 2y + 5
y = (2x-3)(x+9)
Here's part of the solution:
Step 1. Substitute y in the 2nd equation into the first equation to get x = 2((2x-3)(x+9)) + 5
Step 2. The above = 4x^2 + 30x - 54
Step 3. The solution says this can be rewritten as: 4x^2 + 29x -54 = 0.
Here are my problems: What happened to the 5 on the end of the equation in Step 1? Where did the 29 come from in Step 3?
Thank you for any help?
Helen

Click here to see answer by josgarithmetic(39616) About Me 
Question 978100: Here's the question and part of the solution.
How many ordered pairs (x,y) satisfy this system of equations:
x = 2y + 5
y = (2x-3)(x+9)
Here's part of the solution:
Step 1. Substitute y in the 2nd equation into the first equation to get x = 2((2x-3)(x+9)) + 5
Step 2. The above = 4x^2 + 30x - 54
Step 3. The solution says this can be rewritten as: 4x^2 + 29x -54 = 0.
Here are my problems: What happened to the 5 on the end of the equation in Step 1? Where did the 29 come from in Step 3?
Thank you for any help?
Helen

Click here to see answer by Boreal(15235) About Me 
Question 978100: Here's the question and part of the solution.
How many ordered pairs (x,y) satisfy this system of equations:
x = 2y + 5
y = (2x-3)(x+9)
Here's part of the solution:
Step 1. Substitute y in the 2nd equation into the first equation to get x = 2((2x-3)(x+9)) + 5
Step 2. The above = 4x^2 + 30x - 54
Step 3. The solution says this can be rewritten as: 4x^2 + 29x -54 = 0.
Here are my problems: What happened to the 5 on the end of the equation in Step 1? Where did the 29 come from in Step 3?
Thank you for any help?
Helen

Click here to see answer by MathTherapy(10551) About Me 

Question 978160: Is a polynomial in x the same as a polynomial in the variable x? Help pls
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Question 978194: 2-6/x=4
The question should read 2 - 6 over x = 4. I've done the tutorial but it was with all odd numbers. Im completely stuck. Please help.

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Question 978194: 2-6/x=4
The question should read 2 - 6 over x = 4. I've done the tutorial but it was with all odd numbers. Im completely stuck. Please help.

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Question 978172: Is a polynomial in x the same as a polynomial in the variable x ? Answer this in full sentence.
Click here to see answer by Alan3354(69443) About Me 

Question 978171: Is a polynomial in x and a polynomial in the variable x the same?
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Question 978170: Is a polynomial in x and a polynomial in the variable x the same?
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Question 978139: Can you tell me whether a polynomial in x is the same as a polynomial in the variable x?
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Question 978158: Can you tell me whether a polynomial in x is the same as a polynomial in the variable x?
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Question 978234: Please help me. I can't answer these problems
1. (-5x³y⁴)(-5x³yz)
2. (x^9 - y^5)(x^9 + y^5)
3. (a - b)(a² - ab + b²)
4. (4x - 3y)(16x² - 12xy + 9y²)
5. (2a - 7y)²

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Question 978311: If x=1/2 is a zero of the polynomial f(x)=8x^3+ax^2-4x+2, find the value of a?
Click here to see answer by stanbon(75887) About Me 

Question 978457: Should i write a4-7a²b²+kb4 in f(a) or f(b)?

because i am confused and it has 2 variables in this polynomial.

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

Question 978542: I need help in figuring out how to factor out: t^2 + 4z^2
Click here to see answer by Alan3354(69443) About Me 

Question 978456: Should i write a4-7a²b²+kb4 in f(a) or f(b)?

because i am confused and it has 2 variables in this polynomial.

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

Question 978568: http://www.algebra.com/tutors/students/your-answer.mpl?question=978456
How do u solve this using remainder theorem. Find the value of k for which a-3b is a factor of a^4-7a^2(b^2)+kb^4. Hence, for this value of k, factorise a^4-7a^2(b^2) +kb^4 completely.

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Question 978660: Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.
-4i, 2

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Question 978675: the furniture company is planning to produce a new living room sofa. for the first year the fixed cost for setting up production is $30,000. the variable cost for producing the sofa is $500. the revenue for each sofa is $900.
find the cost function for x sofas
find the profit function for x sofas

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Question 978695: add 5x^3-8x+1 to the difference between -x^2+10x-3 and x^2+6x+5
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Question 978693: subtract 3x^2-4x+2 from the sum of 4x^2+3x-1 and 6x-5

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Question 978898: How do I factorise:
(a+b)^3-8b^3
Thank you

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Question 978947: HI!!
what are the zeros of the function ?
F(x) = 5(x+2)/3(x-1)(x+7)

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Question 978947: HI!!
what are the zeros of the function ?
F(x) = 5(x+2)/3(x-1)(x+7)

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

Question 978971: If c=b+1 and p=4b+5, which of the following is an expression for p, in terms of c?
Click here to see answer by MathLover1(20849) About Me 

Question 978983: If s+3s is 2 more than t+3t, then s-t=
Click here to see answer by Boreal(15235) About Me 

Question 978985: If wx=z, which of the following expressions is equal to xz?

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Question 979074: How do I factorise
8(x+y)^3-y^3

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Question 978982: If 2x^2+3y^2=0, what is the value of 3x+2y?
Click here to see answer by Fombitz(32388) About Me 

Question 979114: Find the quotient.
6x − 3 5
------ ----
x2 ÷ x


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Question 979045: Who is the first how to solve the standard equation

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Question 979035: How do I factorise 8(x+y)^3-y^3
Thanks

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Question 979068: How do I solve-
If 2^a=3^b=6^c, show that c=ab/a+b.
Thank you

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Question 979043: How do I factorise a^6+b^6
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Question 979176: Mr. Quino wants to paint the ceiling of a room that has a length of (c² + 2cd + d²) meters and a width of (c + d) meters. if one can of paint will cover (c+d)² square meter, what is the minimum number of cans of paint needed? Express your answer as a polynomial.
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Question 979365: What is the lenth of the smallest side of a triangle if the measures of the angles are in ratio 1:2:3, and the perimeter is 30 + 10√3?
The only answer choice I have is 10 or 20. I have tried but with both attempts, I got it wrong. Please help!

Click here to see answer by josgarithmetic(39616) About Me 

Question 979353: ~~~~~1. The graph shows how 10,000 is invested. After 10% of the amount that is invested in bonds is reinvested in CD's , how much money is invested in CD's?
Investment Portfolio
Bonds -- 50%
Stocks -- 25%
Mutual Funds -- 15%
CD --10%
My answer for the first one was 15%.

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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