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 351767: 10x^2+9x+2

It says to find two numbers whose product is 10 x 2 = 20 whose sum is 9.
Click here to see answer by checkley77(12844) About Me 
Question 351756: I need help with this problem please.
Perform indicated operations.
6y^3 – 9y^2/ -3y
Click here to see answer by stanbon(75887) About Me 
Question 351772: 12x^2-32x+5

It says to find two numbers whose product is 12 x 5 = 60 whose sum is -32.
Click here to see answer by Alan3354(69443) About Me 
Question 351779: Says to find the length of the unknown side of the triangle. Give the exact length and a one decimal place approximation.
One side is 4m
Second side is 3 sqrt (7m)
Click here to see answer by Alan3354(69443) About Me 
Question 351955: how do you work this problem (m^2-1)/(m-1)^2*(2m-2)/(3m+3)
Click here to see answer by Fombitz(32388) About Me 
Question 352049: How do i multiply (y^2-4)(4y^2-5y+4)?
Click here to see answer by Fombitz(32388) About Me 
Question 351984: what is x/x-1-3/x=1/2
Click here to see answer by Fombitz(32388) About Me 
Question 352111: Construct the Taylor polynomial of degree of 10 about x=0 for the function f(x)= e^x . If someone could pls help me out with this one. This is one of my finals :(
Click here to see answer by stanbon(75887) About Me 
Question 352111: Construct the Taylor polynomial of degree of 10 about x=0 for the function f(x)= e^x . If someone could pls help me out with this one. This is one of my finals :(
Click here to see answer by Fombitz(32388) About Me 
Question 352020: 1/2x+5/x=3/x-1 solve for X
Click here to see answer by Fombitz(32388) About Me 
Question 352121: Find the partial derivatives of f(x,y,z)= x^2y^3/z Thank youuuuu if you could help :)
Click here to see answer by Fombitz(32388) About Me 
Question 352142: Solve.
3/x=9/x-1/5
I'm not sure if I am able to work this problem by finding the LCD first or not. The problem is set up differently than others I have worked before.
Thank you in advance for your help!
Click here to see answer by stanbon(75887) About Me 
Question 351405: solve: t%5E%281%2F2%29-4t%5E%281%2F4%29%2B4=0
Click here to see answer by jsmallt9(3758) About Me 
Question 352213: Use rational exponents to write x^1/5*y^1/3*z^1/6 as a single radical expression.
I come up with ^120 sqrt x^18y^30z^15, however, this is not one of the options for an answer.
Am I to simplify?
Answer options are
A. ^90 sqrt xyz
B. ^30 sqrt xyz
C. ^30 sqrt (xyz)^21
D. ^30 sqrt x^6y^10z^5
Any help is greatly appreciated! Thank you in advance for your time and help!
Click here to see answer by Fombitz(32388) About Me 
Question 352213: Use rational exponents to write x^1/5*y^1/3*z^1/6 as a single radical expression.
I come up with ^120 sqrt x^18y^30z^15, however, this is not one of the options for an answer.
Am I to simplify?
Answer options are
A. ^90 sqrt xyz
B. ^30 sqrt xyz
C. ^30 sqrt (xyz)^21
D. ^30 sqrt x^6y^10z^5
Any help is greatly appreciated! Thank you in advance for your time and help!
Click here to see answer by jim_thompson5910(35256) About Me 
Question 352211: Factor completely.
20w^2+100wg+125g^2
All of the examples I have offer numbers that have square roots so i'm not sure how to solve this one. Any help you can give is very much appreciated.
Thank you in advance!
Click here to see answer by jim_thompson5910(35256) About Me 
Question 352252: What are the steps in graphing the problem f(x)=-x^3-4x^2
Click here to see answer by Fombitz(32388) About Me 
Question 352276: f(x)={2x+2 if x<0
f(x)={3 if x>=0
Click here to see answer by jim_thompson5910(35256) About Me 
Question 352542: divide: x^4+81 / x-3
Click here to see answer by Jk22(389) About Me 
Question 352568: Please help with this problem. I'm supposed the simplify the equation 5(2y-z)2+4(y+2z)2. The answer I keep getting is 28y + 6z. My textbook has the answer as 24y2-4yz+21z2. How did the text book come up with this answer?
Click here to see answer by stanbon(75887) About Me 
Question 352568: Please help with this problem. I'm supposed the simplify the equation 5(2y-z)2+4(y+2z)2. The answer I keep getting is 28y + 6z. My textbook has the answer as 24y2-4yz+21z2. How did the text book come up with this answer?
Click here to see answer by Waveez(3) About Me 
Question 352603: Solve the fromula for the given variable.
T=fm-gm;m
T=(f-g)m
not sure where to go after that. do I need to subtract (f-g) from each side to get m byitself?
Click here to see answer by Fombitz(32388) About Me 
Question 352638: Referring to the figure, simplify the expression if possible.
2x^2-4x/x-2

Click here to see answer by Alan3354(69443) About Me 
Question 352557: Let f(x)=-5x(squared)-2x+3 and g(x)=6x+4
Find: f(g(x))
Click here to see answer by Fombitz(32388) About Me 
Question 352739: write as a single radical
sqrt of 3 multiplied by cubed root of 5
Click here to see answer by Alan3354(69443) About Me 
Question 352731: Use pascals Triangle to expand
( x-2)^4
Click here to see answer by Fombitz(32388) About Me 
Question 352755: Sharon invested $4,000 in a certificate of deposit at 5%. She also put $500 in a savings account at 3%. How much interest will she earn after one year?
Click here to see answer by sofiyac(983) About Me 
Question 352740: use synthetic division to find the quotient and remainder when p(x) is divided by d(x) where p(x)=x^2 plus 7x minus 2 and d(x)=x plus 5
Click here to see answer by solver91311(24713) About Me 
Question 352757: What are three consecutive numbers that have a sum which is 1/5 of their product?
Click here to see answer by jrfrunner(365) About Me 
Question 352734: factor completely
3a^2 plus ax minus 3a minus x
Click here to see answer by scott8148(6628) About Me 
Question 352734: factor completely
3a^2 plus ax minus 3a minus x
Click here to see answer by sofiyac(983) About Me 
Question 352927: If p=3 and q= -2 them evaluate:
p to the power of q + q to the power of p
the answer should be -71/9 not sure how to get there.
Click here to see answer by robertb(5830) About Me 
Question 353001: %284%2Fx%29=%285%2F2x%29%2B3
Whats The Value For X?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 353005: %282%2Fx%29%2B3=%285%2F2x%29%2B%2813%2F4%29
Whats the value for x?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 353008: %282%2F3x%29%2B%281%2F4%29=%2811%2F6x%29-%281%2F3%29
Whats the value for x?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 353033: 2500v^7x^7/80v^2x^3
Click here to see answer by Fombitz(32388) About Me 
Question 352793: divide by using long division (x2-15x+44) /(x-4)
Click here to see answer by Fombitz(32388) About Me 
Question 353117: Factor.
b^2+16b+64
I came up with (b+8)(b+8)
Factor completely.
81r^2-49
I came up with (9r+7)(9r-7)
Factor completely.
8x^4-64x^3+64x^2
I came up with 8x^2(x^2-8x+8)
Factor completely.
4a^2+9-12a
I came up with (2a-3)^2
Solve.
x^2+2x-4=0
I came up with (x+2)(x-2)
Solve.
r^2-9r-10=0
I came up with (r-10)(r+1)
I am just looking for some direction on whether or not I have completed the above problems properly. When it comes to math, I always second guess myself. Any help you can give me to point me in the right direction is more than appreciated! Thank you so much in advance!
Click here to see answer by stanbon(75887) About Me 
Question 353117: Factor.
b^2+16b+64
I came up with (b+8)(b+8)
Factor completely.
81r^2-49
I came up with (9r+7)(9r-7)
Factor completely.
8x^4-64x^3+64x^2
I came up with 8x^2(x^2-8x+8)
Factor completely.
4a^2+9-12a
I came up with (2a-3)^2
Solve.
x^2+2x-4=0
I came up with (x+2)(x-2)
Solve.
r^2-9r-10=0
I came up with (r-10)(r+1)
I am just looking for some direction on whether or not I have completed the above problems properly. When it comes to math, I always second guess myself. Any help you can give me to point me in the right direction is more than appreciated! Thank you so much in advance!
Click here to see answer by Fombitz(32388) About Me 
Question 353125: Simplify.
^5sqrt-1/243
Divide and simplify.
7v-49/22 divided by v-7/4v
Divide and simplify.
v^3 divided by v^19
I came up with 1/v^16
Divide.
(35b^3+18b^2+32b+35) divided by (5b+4)
Use the quadratic formula to solve the equation.
2x^2-3x=-6
The solution set is {??}
I came up with 3/2+isqrt15/2, 3/2-isqrt15/2
Find the following.
^14sqrt(-3)^14
I came up with 3
Any help you can give me is appreciated.
Click here to see answer by Fombitz(32388) About Me 
Question 353245: -9x1/4 + x1/2 +20=0
solve equation after making appropriate substitution
Click here to see answer by Fombitz(32388) About Me 
Question 353192: I'm trying to find a polynomial for the perimeter and area of a rectangle. n+6 is on the top and n is on the right side..
Click here to see answer by Fombitz(32388) About Me 
Question 353472: 9x+2=10x-4
Click here to see answer by edjones(8007) About Me 
Question 353584: Perform the indicated operations and simplify:
z-7/z-9 - z+1/z+9 + z-45/z^2-81
I came up with 3/z+9
Multiply.
(5sqrt2 - 10sqrt5)(3sqrt2 + 6sqrt5)
Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers.
^3sqrtY^7 ^3sqrt16Y^8
Any help is very much appreciated. Thank you in advance.

Click here to see answer by Fombitz(32388) About Me 
Question 352798: Divide by using long division.

8x3 - 34x2 + 44x - 9 divided by 4x -1
Click here to see answer by sofiyac(983) 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