Find b such that 182*b**3/3 + 57332*b**2/9 - 610024*b/9 - 178960/9 = 0.
-4474/39, -2/7, 10
Determine r, given that -3*r**4/5 + 126771*r**3/5 + 9*r**2/5 - 380307*r/5 - 253542/5 = 0.
-1, 2, 42257
Let -v**2/4 - 169133*v/4 = 0. What is v?
-169133, 0
Factor f**3 - 43038*f**2 - 258259*f - 215220.
(f - 43044)*(f + 1)*(f + 5)
Factor 5*z**2 - 13646420*z + 9311238940820.
5*(z - 1364642)**2
Determine j, given that 2*j**5 + 14058*j**4 - 1263320*j**3 + 26235040*j**2 + 87759168*j + 60246752 = 0.
-7118, -2, -1, 46
Factor w**2/3 + 1628771*w + 19545236/3.
(w + 4)*(w + 4886309)/3
Determine l so that -12*l**3/7 - 59768*l**2 - 33671552*l/7 - 22261760/7 = 0.
-34784, -80, -2/3
Find m such that -2*m**4/3 - 4258*m**3/3 + 43148*m**2 - 207712*m/3 - 967232/3 = 0.
-2159, -2, 4, 28
Factor -3*i**4/4 + 14301*i**3/4 - 23394339*i**2/4 + 14132964807*i/4 - 820159609275/2.
-3*(i - 1539)**3*(i - 150)/4
Factor 2*a**2 + 87065308*a + 435326490.
2*(a + 5)*(a + 43532649)
Let o**4/7 + 188*o**3/7 + 907*o**2/7 - 1476*o/7 - 2196/7 = 0. What is o?
-183, -6, -1, 2
Suppose -5*w**3 - 55107180*w**2 - 110214345*w - 55107170 = 0. What is w?
-11021434, -1
Determine j so that -3*j**3/7 + 20540670*j**2/7 - 5022849649248*j + 70319812926816/7 = 0.
2, 3423444
Factor -18*j**2/5 + 7343589*j/5 - 45284781/5.
-3*(j - 407971)*(6*j - 37)/5
Determine c, given that -3*c**2 - 2008569*c = 0.
-669523, 0
Let -5*g**4 + 5585*g**3 + 67875*g**2 - 152485*g + 79030 = 0. What is g?
-14, 1, 1129
Suppose 94*d**3/3 - 1382284*d**2/3 + 5082467008*d/3 - 1945868544 = 0. Calculate d.
54/47, 7352
Let 36*h**5 - 92316*h**4 + 766777*h**3 + 59838*h**2 - 2684584*h + 2003904 = 0. What is h?
-2, 7/6, 8, 2556
Find u, given that -u**2/10 - 534777*u - 1429932198645/2 = 0.
-2673885
Let -b**2/3 + 85985726*b/3 - 1848386268936769/3 = 0. What is b?
42992863
Suppose -5*a**5 + 1395*a**4 + 93605*a**3 + 2009645*a**2 + 18026580*a + 58484140 = 0. Calculate a.
-26, -11, 338
Find d such that 56*d**4 - 25838*d**3 - 42104*d**2 + 201002*d - 27780 = 0.
-15/4, 1/7, 2, 463
Find z, given that 28*z**2/5 - 32268178*z/5 - 460974 = 0.
-1/14, 1152435
Factor 4*k**3 - 17887268*k**2/5 - 10732368*k/5.
4*k*(k - 894364)*(5*k + 3)/5
Factor 3*z**2 + 2224161*z + 8896596.
3*(z + 4)*(z + 741383)
Determine i so that -2*i**4/3 - 640*i**3/3 + 922*i**2 + 18612*i - 58320 = 0.
-324, -9, 3, 10
Let -14*c**5 + 3022*c**4 - 23070*c**3 - 44406*c**2 + 157140*c = 0. Calculate c.
-3, 0, 2, 9, 1455/7
Find d such that -5*d**5/3 + 33926*d**4/9 - 6426629*d**3/3 + 12186156*d**2 - 15683712*d - 5089536 = 0.
-4/15, 3, 1128
What is w in -2*w**3 - 48258*w**2 - 291562230*w - 5522274950 = 0?
-12055, -19
Factor -2*c**2/7 - 219988*c + 4619766/7.
-2*(c - 3)*(c + 769961)/7
Determine a, given that -2*a**3/5 - 3727372*a**2/5 - 1736700026418*a/5 - 6946501919112 = 0.
-931833, -20
Let q**2/4 + 10924445*q/2 + 119343498558025/4 = 0. Calculate q.
-10924445
Factor -3*s**2/5 - 19344*s/5 - 596781/5.
-3*(s + 31)*(s + 6417)/5
Find p such that -p**3/4 + 1920241*p**2/2 - 3687340859961*p/4 + 7374620272338 = 0.
8, 1920237
Suppose -o**4/9 + 598*o**3/9 - 9361*o**2/9 + 9484*o/3 + 4268 = 0. What is o?
-1, 6, 11, 582
Factor -u**2 + 24702768*u - 152556686715456.
-(u - 12351384)**2
Solve -34*o**2/15 - 1764*o/5 + 47850 = 0 for o.
-4125/17, 87
Solve -a**3 - 20699*a**2 - 59666055*a - 46591638525 = 0.
-17429, -1635
Factor f**2/6 - 406*f/3 - 7206389/6.
(f - 3121)*(f + 2309)/6
Let -16840*k**5 + 5644788*k**4 + 17810016*k**3 - 98044185160*k**2 + 19724517000*k - 23287500 = 0. What is k?
-115, 1/842, 1/5, 225
Let -a**4/2 + 333685*a**3/2 + 4671761*a**2/2 + 8342463*a/2 + 2002194 = 0. What is a?
-12, -1, 333699
Factor -2*k**3 - 51281879*k**2 - 328728876400860*k + 164364451020900.
-(k + 12820470)**2*(2*k - 1)
Factor -2*j**2/11 + 86871380*j/11.
-2*j*(j - 43435690)/11
Factor -5*n**2 - 4618235*n - 4618230.
-5*(n + 1)*(n + 923646)
Suppose 2*g**5 - 520*g**4 - 16134*g**3 + 1556*g**2 + 49424*g + 32256 = 0. Calculate g.
-28, -1, 2, 288
Solve -5*v**4 - 1506125*v**3 + 87370465*v**2 - 483556875*v + 705002220 = 0.
-301283, 3, 52
Solve 42*s**5/5 + 226*s**4 - 24*s**3/5 - 76616*s**2/5 - 137856*s/5 + 13824/5 = 0 for s.
-24, -9, -2, 2/21, 8
Suppose -4*o**3 + 17532*o**2 - 1996016*o - 2013552 = 0. What is o?
-1, 118, 4266
What is m in 2*m**2 + 11104*m + 121902 = 0?
-5541, -11
Factor 4*z**3 - 46560*z**2 + 125182800*z + 61086312000.
4*(z - 6030)**2*(z + 420)
Find k such that 4*k**3 + 271240*k**2 - 182696636*k = 0.
-68477, 0, 667
Let -2*h**3/5 - 412264*h**2/5 + 1566734*h - 14018268/5 = 0. Calculate h.
-206151, 2, 17
Find r such that 2*r**3 + 80048*r**2 + 778660010*r - 449337497700 = 0.
-20285, 546
Factor 2*r**3/15 - 8652*r**2/5 + 5017608*r + 3969794160.
2*(r - 6810)**2*(r + 642)/15
Solve -2*c**5/9 - 9746*c**4/9 + 186760*c**3/9 + 4225720*c**2/9 - 4737248*c/9 - 8766464/9 = 0.
-4892, -14, -1, 2, 32
Solve 4*r**4 - 2044*r**3 + 227760*r**2 + 697648*r + 467840 = 0 for r.
-2, -1, 170, 344
Factor -729*k**2 - 50255100*k - 866109422500.
-(27*k + 930650)**2
Factor 590*v**2/11 + 19626*v/11 + 9072.
2*(v + 27)*(295*v + 1848)/11
Let 2*l**2 - 121279464*l + 1838588548515912 = 0. Calculate l.
30319866
Factor -n**2/2 - 83447302*n - 3481726105539602.
-(n + 83447302)**2/2
Let -2*h**3/7 + 32404*h**2/7 + 8*h/7 - 129616/7 = 0. What is h?
-2, 2, 16202
What is f in 5*f**3/4 + 41342225*f**2/4 + 20671105*f/2 - 20671110 = 0?
-8268444, -2, 1
Solve -2*k**5 - 6388*k**4/7 + 140234*k**3/7 + 908728*k**2/7 + 248040*k/7 = 0 for k.
-477, -5, -2/7, 0, 26
Solve -a**3/3 + 2704*a**2/3 - 1495285*a/3 + 78373394 = 0 for a.
341, 2022
Factor 4*s**4 + 5496892*s**3 + 2517986970600*s**2 + 384476466511190608*s + 384473948529716896.
4*(s + 1)*(s + 458074)**3
Solve 38*i**3/3 + 1962796*i**2/3 + 8448132226*i - 12451300008 = 0 for i.
-25827, 28/19
Factor -h**2/7 - 4796*h/7 - 2309379/7.
-(h + 543)*(h + 4253)/7
Let 3*p**2 - 18441*p - 48032004 = 0. What is p?
-1972, 8119
Let 25*i**2/3 + 1345*i/6 - 14315/3 = 0. Calculate i.
-409/10, 14
Factor 5*a**3 - 18973015*a**2 + 17998736449955*a + 53996380107135.
5*(a - 1897303)**2*(a + 3)
Find v such that -v**4/2 - 93*v**3 - 2754*v**2 - 16931*v - 28539/2 = 0.
-151, -27, -7, -1
Find f such that -2*f**3/13 + 53946*f**2/13 - 18591552*f/13 + 1612197000/13 = 0.
174, 26625
Factor 4*d**3 - 222604*d**2 + 14008664*d - 27126944.
4*(d - 55588)*(d - 61)*(d - 2)
Find t such that -t**2/2 + 20063*t/2 - 460391 = 0.
46, 20017
Factor -2*i**3 - 48280*i**2 - 274627226*i + 204907432788.
-2*(i - 666)*(i + 12403)**2
Factor 4*f**2/7 + 691632*f/7 + 2074860/7.
4*(f + 3)*(f + 172905)/7
Suppose 2*j**2 + 244652*j + 7337760 = 0. What is j?
-122296, -30
Determine r so that 2*r**4 + 4081116*r**3 + 2775962858400*r**2 + 629441247290782500*r + 20768538283703718750 = 0.
-680175, -33
Suppose -2*m**5 - 1883116*m**4 - 443245018762*m**3 + 9752224650880*m**2 - 18174706713000*m + 8865728964000 = 0. Calculate m.
-470790, 1, 20
Let -88*z**4/13 - 742*z**3/13 + 4378*z**2/13 + 7420*z/13 + 1200/13 = 0. Calculate z.
-12, -5/4, -2/11, 5
Factor 110*b**3 - 198378*b**2 - 994640*b.
2*b*(b + 5)*(55*b - 99464)
Factor -h**4/4 - 142158*h**3 - 9666455*h**2/4.
-h**2*(h + 17)*(h + 568615)/4
Determine i, given that -2*i**3/3 + 910*i**2/3 - 28288*i + 82152 = 0.
3, 126, 326
Let -d**4/5 - 24139*d**3/5 + 72426*d**2/5 - 4*d/5 - 96568/5 = 0. Calculate d.
-24142, -1, 2
Find a, given that -15*a**4 - 1437830*a**3 - 20605425*a**2 + 37377830*a - 15334560 = 0.
-95841, -16, 2/3, 1
Factor -o**4/7 + 198*o**3 + 86760*o**2/7.
-o**2*(o - 1446)*(o + 60)/7
Solve -14*n**5 - 410*n**4 + 1360*n**3 + 4320*n**2 - 9216*n = 0.
-32, -3, 0, 12/7, 4
Solve -2*r**5/7 + 220*r**4 - 13698*r**3/7 - 216*r**2/7 + 164376*r/7 = 0 for r.
-3, 0, 6, 761
Factor 3*n**3 - 3864*n**2 - 257484*n - 2839200.
3*(n - 1352)*(n + 14)*(n + 50)
Factor 5*s**2/4 - 9539385*s/2.
5*s*(s - 3815754)/4
Factor 110*f**3 - 641*f**2 + 823*f - 76.
(f - 4)*(10*f - 1)*(11*f - 19)
Factor -5*n**2 - 118302035*n - 118302030.
-5*(n + 1)*(n + 23660406)
Suppose -2*u**5/15 - 17362*u**4 - 8476280134*u**3/15 + 110226541838*u**2/15 - 98933690688*u/5 - 415503633608/15 = 0. Calculate u.
-65114, -1, 7
Find a, given that -50*a**2/7 - 8964754*a/7 - 717180/7 = 0.
-179295, -2/25
Suppose b**2 + 147173460*b + 5415006832092900 = 0. What is b?
-73586730
Solve -5*m**5/3 - 1535*m**4 + 4810*m**3/3 + 61660*m**2 + 535240*m/3 + 147520 = 0.