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

Algebra ->  Polynomials-and-rational-expressions -> Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!      Log On


   



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


Question 29907: If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number.

Help. Thank you.

Click here to see answer by Cintchr(481) About Me 
Question 29907: If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number.

Help. Thank you.

Click here to see answer by Earlsdon(6294) About Me 
Question 29907: If one-half a number is subtracted from five-sixths of the number, the difference is 6. Find the number.

Help. Thank you.

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 29901: Multiply.
-3a^2b/35a^5 x 14a^3b^2/-9b^4
Please help.
Thank you

Click here to see answer by Cintchr(481) About Me 
Question 29901: Multiply.
-3a^2b/35a^5 x 14a^3b^2/-9b^4
Please help.
Thank you

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 29920: Please solve for x:
2x^2=7x-3
and
x^2-5cx+6c^2=0

Click here to see answer by z_2007(1) About Me 

Question 28983: Divide the following fractions.
6p - 18 3p - 9
_______ divided by _________
9p p^2 + 2p
Please help me. Thank you.

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 29533: Science and medicine. Fungicides account for 1/10 of the pesticides used in the United States. Insecticides account for 1/4 of all the pesticides used in the United States. The ratio of fungicides to insecticides used in the United States can be written 1/10 divided by 1/4. Write this ratio in simplest form.
Please help.
Thank you.

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

Question 29700: please explain this to me
x to the 2nd power + 16y to the 8th power
what if the power is negative
what if there are parenthesis involved in the problem

Click here to see answer by elima(1433) About Me 

Question 30006: How do u factor polynomials such as;
(6m cubed multiplied by n cubed)+(3m cubed multiplied by n squared)+(m squared multiplied by n squared)

Click here to see answer by Cintchr(481) About Me 

Question 29949: These can be so confusing! Please help.
Find the product.
(8x - 1)(x^2 - 2x + 1)
(5x - 2)^2
Thank you

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30012: x^5 y^2(2x^3+4x^3 y^4+4y^3)
Click here to see answer by Cintchr(481) About Me 

Question 30057: c^2d^2(d^2+3d-7)
Click here to see answer by Cintchr(481) About Me 

Question 30020: Someone please help me solve these problems. Thanks!
1. Geometry. The area of a rectangle of length x is given by 3x^2+5x. Find the width of the rectangle.
Find all positive values for k for which each of the following can be factored.
2. x^2+x-5
Determine whether the following trinomials is a perfect square. If it is, factor the trinomial.
3. x^2-24x+48

Rewrite the middle term as the sum of two terms and then factor completely.
4. 12w^2+19w+4

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 29988: Hello,
Is this correct?
50a^14b^-3/10a^7b^-9c^7=5a^7b^6/c^7

Click here to see answer by askmemath(368) About Me 

Question 30072: Please assist me in solving this problem. I think I am suppose to group like terms, but I am really confused.
(5x^6 - 6x^5 - 9x^4 - 2) - (7x^6 + 4x^5 - 3x^4 - 3)

since the second term is preceeded by a negative, change all the signs in the second quantity and drop the parenthesis
combine x^6
combine x^5
combine x^4
combine constants
since there is no = , this is a simpliflying problem

Click here to see answer by josmiceli(19441) About Me 
Question 30072: Please assist me in solving this problem. I think I am suppose to group like terms, but I am really confused.
(5x^6 - 6x^5 - 9x^4 - 2) - (7x^6 + 4x^5 - 3x^4 - 3)

since the second term is preceeded by a negative, change all the signs in the second quantity and drop the parenthesis
combine x^6
combine x^5
combine x^4
combine constants
since there is no = , this is a simpliflying problem

Click here to see answer by Cintchr(481) About Me 
Question 30072: Please assist me in solving this problem. I think I am suppose to group like terms, but I am really confused.
(5x^6 - 6x^5 - 9x^4 - 2) - (7x^6 + 4x^5 - 3x^4 - 3)

since the second term is preceeded by a negative, change all the signs in the second quantity and drop the parenthesis
combine x^6
combine x^5
combine x^4
combine constants
since there is no = , this is a simpliflying problem

Click here to see answer by jacobskayla_lee_633(5) About Me 

Question 30185: i would like some help with this promblem cause i keep getting lost in it
i need to simplify 13x^5/ 6x^2
_____________
12x^3/ 4x^6

Click here to see answer by ikdeep(226) About Me 

Question 30210: p-2/3 +p/4 =1/2
4p-8/12 + 3p/12 =6
7p-2/3=6
lost, lost lost

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30217: Explain why x to the 4th+2xsquared+4 has no real root while every polynomial function of degree 3 has at least 1 real root
Click here to see answer by Fermat(136) About Me 
Question 30217: Explain why x to the 4th+2xsquared+4 has no real root while every polynomial function of degree 3 has at least 1 real root
Click here to see answer by venugopalramana(3286) About Me 

Question 30220: Please help me solve this problem.
Word for word quoted from the text:
Solve the following literal equation for y

%28Y-1%29%2F%28Y%2B1%29+=+%28A-B%29%2F%28A%2BB%29

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30299: i need help solving this polynomial 12-27n2=0 (the 2 after n means its squared)
Click here to see answer by checkley71(8403) About Me 

Question 30311: I am asked to simplify: when I did the problem I am not coming out with the answer in the text:
(3a^-5 b^2)0
----------
(12a^3 b^-4)
3a to the negative 5th power b to the 2nd power DIVIDED by 12a to the 3rd power and b to the 4th power . The entire problem is in parent.raised to the 0 power.
Thank you

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30317: 32x(to the second power)y(to the 2 power)+16x(to the second power)y+8x(to the second power)y(to the second power) / 8xy
Click here to see answer by Earlsdon(6294) About Me 

Question 30315: I am asked to simplify:
25a^13 b^4
-------------
-5a^2 b^3
25a raised to the 13th power/ b raised to the 4th power DIVIDED by negative 5a raised to the 2 power /b raised to the 3rd power
Thank you

Click here to see answer by Cintchr(481) About Me 

Question 30314: I am asked to simplify:
2(x+h)^2 - 2x^2
---------------- =
h
Thank you











Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30271: Can you help me divide the rational expression.
a^2+2a+1/3 divided by a^2-1/a

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30245: myspace



Can you please tell me the answer to this?

%28x%29%2F%28j-k%29-%28x%29%2F%28j%2Bk%29=1
thanks

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30236: Please help me. Solve the following literal eqaution for x.

%285a%29%2F%28x%29=+%285b%29%2F%28x-1%29

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30341: Which of the following is a factor of the polynomial x^2 - x - 20?
A) x-5
B) x-4
C) x+2
D) x+5
E) x+10

Click here to see answer by sdmmadam@yahoo.com(530) About Me 
Question 30341: Which of the following is a factor of the polynomial x^2 - x - 20?
A) x-5
B) x-4
C) x+2
D) x+5
E) x+10

Click here to see answer by venugopalramana(3286) About Me 

Question 30345: hi can anybody plzzzzzzz help me ..it really urgent
9y^8+2xw(8x-5y)=3y^2(9w+3y^6)+xyw
thanks

Click here to see answer by Cintchr(481) About Me 

Question 30289: 12x(squared)+23-24=0
Click here to see answer by Fermat(136) About Me 

Question 30346: x+3/5= x+1/x-3 This ia a rational fraction and i cant seem to find the right answer is there anyway you could help me.! Please and thank you
Click here to see answer by Fermat(136) About Me 

Question 30372: 4(1-3x)+7x=9
Click here to see answer by checkley71(8403) About Me 

Question 30373: 4(1-3x)+7x=9
Click here to see answer by piglet162431(90) About Me 

Question 30429: This is the closest section from what I saw to what we are learning. We are factoring trinomials of the type ax^2 + bx + c . This is the problem:

108g^2h - 162gh + 54h

Thank you in advance!!!

Click here to see answer by checkley71(8403) About Me 

Question 30435: Please explain how to factor the following problem by grouping to solve the equation. x^3+3x^2-4x-12=0
Click here to see answer by venugopalramana(3286) About Me 

Question 30432: 10/(x-7) - 10/(x+7) =
Would answer be zero?

Click here to see answer by ikdeep(226) About Me 

Question 30421: 4/x-2=1+6/x+2
Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30347: 2= 3/x-1/x^2 I cant find the restrictions in this problem or the least common faction if you could get that for me then i caould do the rest.
Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30453: 13/a^2-3a-10 = 2/a+2 + 4/a-5
Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 30387: I have simplified the problem from (x^3+3x^2-7x)-(-4x^2+5x-8) to x^3+(3x^2+4x^2)+(-7x-5x)+8 .(sorry, I don't know how to type exponents) is this correct so far? and also, what would I do with the x cubed? can I combine it with the 3x squared and the 4x squared to make 7x to the 5th power? PLEASE help!
thanks,
Bethany M.

Click here to see answer by longjonsilver(2297) 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