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

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Question 1167586: given that x=3+i is a root of p(x)=3x^4+ax^3+34x^2+bx-20 find the value of a and b if when p(-1)=34. then factor the polynomial completely
Click here to see answer by greenestamps(13195) About Me 

Question 1167712: Person A can paint a room within 7 hours. Person B can paint the same room in 6 hours. What would be the equation used in order to find how long it will take the both of them working together to paint the room. How many hours would that be?
Thank you in advance.

Click here to see answer by josgarithmetic(39613) About Me 

Question 1167700: h(x)=-32x^2/130^2+x
Use a graphing utility to determine the distance that the ball has traveled when the heigh of the ball is 80 feet. The ball has traveled ? feet

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Question 1167811: Find a polynomial of least degree with integer coefficients that has the given zeros. Write your answer in both factored form and general form.
X= 0,-4,1

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Question 1167824: find a polynomial of least degree with integer coefficients that has the given zeros . Write answer In both factored form and general form.?
x = 0, - 4, 1

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Question 1167826: In Problems , evaluate the polynomial two ways : by substituting in the given value of x, and by using synthetic division.
Find P(1/2) for P(x) = - 5x ^ 3 - 2x ^ 2 + 3x + 4 .

Click here to see answer by ikleyn(52750) About Me 

Question 1167825: use synthetic division to show that the given x value is a zero of the polynomial. Then find all other zeros.?
P(x)=x^ 3 -2x^ 2 -5x+6; x = 1

Click here to see answer by josgarithmetic(39613) About Me 
Question 1167825: use synthetic division to show that the given x value is a zero of the polynomial. Then find all other zeros.?
P(x)=x^ 3 -2x^ 2 -5x+6; x = 1

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

Question 1167877: Find a polynomial function with real coefficients that has the given zeros. the zeros are 9, 9, 1 + i

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Question 1167878: find a polynomial function with real coefficients that has the given zeros.
The zeros are −1, 5, 3 − 2i

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Question 1167879: find a polynomial function f(x) with real coefficients that has the given zeros. (There are many correct answers.)
The zeros are 0, 7, 1 + sqrt(2i)

Click here to see answer by greenestamps(13195) About Me 

Question 1167959: There are values A and B such that
{Bx-11}/{x^2-7x+10}={A}/{x-2}+{3}/{x-5}.Find A+B.

Click here to see answer by greenestamps(13195) About Me 
Question 1167959: There are values A and B such that
{Bx-11}/{x^2-7x+10}={A}/{x-2}+{3}/{x-5}.Find A+B.

Click here to see answer by ikleyn(52750) About Me 

Question 1168091: Express the perimeter of the trapezoid as a single rational expression.
X+6/X+5 3/X+5
X+1/X+5 3/X+5

Click here to see answer by ikleyn(52750) About Me 

Question 1168148: Construct a function would give the amount of money each of the number of the committees would receive
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Question 1168215: Maria has a rectangular table whose area is 28ft^2. She wants to put a table cloth with a length of 3ft longer that its width. What will be the length and width of the table cloth?

Click here to see answer by ikleyn(52750) About Me 

Question 1168424: Find a polynomial function of degree 3 with real coefficients that has the given zeros.
-3,4, -5

Click here to see answer by josgarithmetic(39613) About Me 

Question 1168429: For the function ​f(x)=x^2+2x-15 solve the following.
​f(x)equal to or greater than 0

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Question 1168643: 1. The budget of a university organization is split evenly among its various committees. If the have a budget of P60,000:
(a) Construct a function which would give the amount of money each of the number of committees would receive.
(b) If the organization has eight committees, how much would each committee have?

2. A company has a budget of P90,000 to be split evenly among its various offices. The marketing office of the company receives twice the amount of money than the other offices.
(a) Given as the number of offices in the company, construct a function which would give the amount of money each of non-marketing offices would receive.
(b) If the company had five offices, how much would the marketing office receive? How much would each of the non-marketing offices receive?

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

Question 1168748: Have I simplified the below correctly?
Problem 1:
3x^2 + 6x - 45 = x^2 + 2x - 15 = (x - 3) (x + 5)= answer of x-3 after cancellation
3x^2 + 21x +30 X^2 + 7x + 10 (x + 2) (x + 5) x-2
Problem 2:
4a^2b^4 / 8ab^2 = 4A^2b = 4a^2b^4 * 1 = 4a^2b^4 = 4ab^2 = simplified to 1ab^2
3c^2 3c^2 8ab^2 24ab^2c^2 24c^2 6c^2
Problem 3:
16x^2 - 1 / 4x + 1 = 16x^2 * y^3 = simplified to 4xy
y^2 y^3 y^2 4x + 1
Thank you

Click here to see answer by greenestamps(13195) About Me 
Question 1168748: Have I simplified the below correctly?
Problem 1:
3x^2 + 6x - 45 = x^2 + 2x - 15 = (x - 3) (x + 5)= answer of x-3 after cancellation
3x^2 + 21x +30 X^2 + 7x + 10 (x + 2) (x + 5) x-2
Problem 2:
4a^2b^4 / 8ab^2 = 4A^2b = 4a^2b^4 * 1 = 4a^2b^4 = 4ab^2 = simplified to 1ab^2
3c^2 3c^2 8ab^2 24ab^2c^2 24c^2 6c^2
Problem 3:
16x^2 - 1 / 4x + 1 = 16x^2 * y^3 = simplified to 4xy
y^2 y^3 y^2 4x + 1
Thank you

Click here to see answer by MathTherapy(10549) About Me 

Question 1168761: Write a polynomial function that has zeros when x = 1, 2, and 3i.
I was able to get so far as f(x) = (x - 1)(x - 2), but getting something in for 3i tripped me up, as (x - 1)(x - 2)(x - 3i) did not work in my graphing calculator.

Click here to see answer by josgarithmetic(39613) About Me 
Question 1168761: Write a polynomial function that has zeros when x = 1, 2, and 3i.
I was able to get so far as f(x) = (x - 1)(x - 2), but getting something in for 3i tripped me up, as (x - 1)(x - 2)(x - 3i) did not work in my graphing calculator.

Click here to see answer by MathTherapy(10549) About Me 

Question 1168846: (9x-8^2+x^3-1)÷(x-1)
Click here to see answer by josgarithmetic(39613) About Me 
Question 1168846: (9x-8^2+x^3-1)÷(x-1)
Click here to see answer by MathLover1(20849) About Me 
Question 1168846: (9x-8^2+x^3-1)÷(x-1)
Click here to see answer by greenestamps(13195) About Me 

Question 1168928: Write a polynomial f(x) that satisfies the given conditions.
Degree polynomial with integer coefficients with zeros -9i and 9/7.

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Question 1168999: Factor,
a^2 - 14a + 49 - b^2
I know you can use difference of squares but i have no idea how to do it

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Question 1168999: Factor,
a^2 - 14a + 49 - b^2
I know you can use difference of squares but i have no idea how to do it

Click here to see answer by Theo(13342) About Me 
Question 1168999: Factor,
a^2 - 14a + 49 - b^2
I know you can use difference of squares but i have no idea how to do it

Click here to see answer by Alan3354(69443) About Me 
Question 1168999: Factor,
a^2 - 14a + 49 - b^2
I know you can use difference of squares but i have no idea how to do it

Click here to see answer by MathTherapy(10549) About Me 

Question 1168948: The following table shows the amount of converted sugar in a chemical process at diff temperatures.
Temperature (x) 1.2, 1.4, 1.6, 1.8, 2.0, 2.2, 2.4
Converted sugar (Y) 8.2, 8.5,8.4, 9.3, 8.9, 10.5, 9.3
Question:
*Estimate the linear regression line
* Estimate the mean amount of sugar produced when the temperature is recorded is 1.7

Click here to see answer by ikleyn(52750) About Me 

Question 1169061: find a 4th degree polynomial with real coefficients satisfying the given conditions: -1,5, and 2+4i are zeros; f(1)=-272
Click here to see answer by Solver92311(821) About Me 

Question 1169141: Rachel has a 15km head start on Charlene. How long will it take Charlene to catch up with rachel if rachel travels at 70km per hour and charlene travels at 100 km per hour.
Click here to see answer by greenestamps(13195) About Me 

Question 1169140: On Monday, tom drove to town at 60mph. On Tuesday, he drove to town at 40mph
If the total drive time for both days was 15 hours, how far was it to town

Click here to see answer by ikleyn(52750) About Me 
Question 1169140: On Monday, tom drove to town at 60mph. On Tuesday, he drove to town at 40mph
If the total drive time for both days was 15 hours, how far was it to town

Click here to see answer by greenestamps(13195) About Me 

Question 1169185: i have to simplify -3 -5(x + 7+ 8x
Click here to see answer by josgarithmetic(39613) About Me 

Question 1022335: 17^17^17^17.......
Click here to see answer by CoolRekt(53) About Me 
Question 1022335: 17^17^17^17.......
Click here to see answer by Alan3354(69443) About Me 

Question 1169486: Write a polynomial function of the volume of the box with the given dimension.
What is the width of the box if the volume is 120 cubic inches?

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Question 1169487: A rock is thrown upward from the height of 5 ft with an initial velocity of 48 ft per second. The height h(in feet) of the rock at time t seconds is h(t)=-16t^2+48t+5. When will the ball reach a height of 8 ft?
Click here to see answer by ikleyn(52750) About Me 

Question 1169630: Find the maximum number of real zeros for the equation f(x)=x^3+7x^2+8x-16

Click here to see answer by josgarithmetic(39613) About Me 
Question 1169630: Find the maximum number of real zeros for the equation f(x)=x^3+7x^2+8x-16

Click here to see answer by MathLover1(20849) About Me 

Question 1169629:









Item 9
The area A (in square feet) of the rectangular shed is given by $6x^3+7x^2+11x+21$ . Use polynomial long division to find an expression for the length (in feet) of the shed.


Length =
feet

Click here to see answer by Alan3354(69443) About Me 
Question 1169629:









Item 9
The area A (in square feet) of the rectangular shed is given by $6x^3+7x^2+11x+21$ . Use polynomial long division to find an expression for the length (in feet) of the shed.


Length =
feet

Click here to see answer by ikleyn(52750) 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