 given that -12*x**5 + 4102*x**4 - 346024*x**3 - 766322*x**2 - 238704*x + 177480 = 0.
-3/2, -1, 1/3, 170, 174
Suppose -2*x**5 - 306*x**4 + 8952*x**3 + 9256*x**2 = 0. What is x?
-178, -1, 0, 26
Suppose l**3/2 - 773*l**2/2 - 21240*l - 173250 = 0. Calculate l.
-42, -10, 825
Determine k, given that 48*k**5 - 1000*k**4 - 35783*k**3/3 + 152148*k**2 + 1827280*k + 13249600/3 = 0.
-91/12, -4, 20
Factor 2*l**3/5 + 21712864*l**2/5 + 11786215919634*l + 23572414468980.
2*(l + 2)*(l + 5428215)**2/5
Solve 2*k**4/5 - 42024*k**3 - 9248982*k**2/5 - 17867596*k/5 - 8828736/5 = 0 for k.
-42, -1, 105104
Solve -2*d**4/15 + 152842*d**3/15 - 259600428*d**2 + 2205910548360*d - 24233617940400 = 0 for d.
11, 25470
Determine u so that -3*u**5/4 - 26835*u**4 - 4444755*u**3/2 - 8540685*u**2 - 25380567*u/4 = 0.
-35697, -79, -3, -1, 0
Find a such that -16*a**2 - 3723620*a + 6516384 = 0.
-232728, 7/4
Find f, given that -4*f**2/7 + 748082*f/7 + 374042/7 = 0.
-1/2, 187021
Solve -15*h**4 + 86352*h**3 - 155361*h**2 - 138156*h + 207180 = 0 for h.
-6/5, 1, 2, 5755
Factor 2*g**2/3 - 55914*g + 167740/3.
2*(g - 83870)*(g - 1)/3
Factor -l**2/5 - 5461*l/5 - 21828/5.
-(l + 4)*(l + 5457)/5
Suppose 5*g**3/4 + 153815*g**2/4 - 811443325*g/4 + 992601674625/4 = 0. Calculate g.
-35493, 2365
Find i such that 2*i**2 - 14232388*i - 28464784 = 0.
-2, 7116196
Determine r so that -4*r**4 - 11352*r**3 + 460052*r**2 - 1232376*r - 1703776 = 0.
-2878, -1, 4, 37
Suppose k**4/2 + 269447*k**3/2 - 1077809*k**2/2 - 1347255*k/2 = 0. Calculate k.
-269451, -1, 0, 5
Suppose 5*f**4 + 640*f**3 - 137095*f**2 + 652290*f + 3207600 = 0. What is f?
-243, -3, 8, 110
Suppose 5*z**5 + 1515*z**4 + 108275*z**3 - 221115*z**2 + 111320*z = 0. Calculate z.
-184, -121, 0, 1
Factor 2*j**2/5 - 119005748*j/5 + 1770296007129938/5.
2*(j - 29751437)**2/5
Solve 12*i**5 - 658324*i**4 + 877496*i**3 + 13605656*i**2 - 34232196*i + 9874620 = 0.
-5, 1/3, 3, 54859
Factor 2*i**2 + 49280*i + 492600.
2*(i + 10)*(i + 24630)
What is y in 406*y**2 + 13270*y - 28164 = 0?
-7041/203, 2
Factor 3*o**3 - 217152*o**2 - 3*o + 217152.
3*(o - 72384)*(o - 1)*(o + 1)
Let -i**5/5 + 1816*i**4 - 63516*i**3/5 + 45358*i**2/5 + 63517*i/5 - 54438/5 = 0. What is i?
-1, 1, 6, 9073
Determine z, given that -5*z**4/4 - 1751*z**3/2 + 165895*z**2/4 + 5012067*z + 1998135 = 0.
-738, -57, -2/5, 95
Factor -4995*p**2 - 60734215*p - 121590.
-5*(p + 12159)*(999*p + 2)
Solve o**2/5 - 4545*o - 20625526/5 = 0.
-874, 23599
Let -2*w**2/3 + 113320732*w - 4815595612880934 = 0. Calculate w.
84990549
Factor c**2/2 - 1489*c/2 + 78375.
(c - 1375)*(c - 114)/2
Find h such that h**2 + 65835632*h + 131671260 = 0.
-65835630, -2
Determine c so that -2*c**3 - 8500*c**2 + 34474*c + 1880268 = 0.
-4254, -13, 17
Find t such that 2*t**2/3 + 1282*t + 928240/3 = 0.
-1640, -283
Factor -t**4/2 - 19439*t**3 - 379852297*t**2/2 - 19221049932*t - 488850854472.
-(t + 51)**2*(t + 19388)**2/2
Factor -5*l**2 - 8587100*l + 17174220.
-5*(l - 2)*(l + 1717422)
Solve -2*m**2/13 - 19519624*m/13 - 175676454/13 = 0.
-9759803, -9
Find b, given that -196*b**4 - 1141392*b**3 + 32757772*b**2 - 78572232*b + 49297248 = 0.
-5852, 9/7, 26
Suppose 4*a**3/3 - 2720*a**2 + 1358388*a = 0. Calculate a.
0, 873, 1167
Solve -o**4 - 2195*o**3 + 46416*o**2 - 265820*o + 221600 = 0.
-2216, 1, 10
Let -2*w**4/11 - 61652*w**3/11 - 631468080*w**2/11 - 2128072416192*w/11 + 214673927069952/11 = 0. Calculate w.
-10308, 98
What is x in -x**5 + 90*x**4 - 335*x**3 - 13890*x**2 - 25704*x = 0?
-9, -2, 0, 17, 84
Suppose -3*a**3/2 - 4353*a**2/2 - 189579*a - 187404 = 0. What is a?
-1358, -92, -1
Solve -1060*g**3/13 - 151782*g**2/13 + 123544*g/13 - 1152/13 = 0 for g.
-144, 1/106, 4/5
Factor -2*u**2/7 + 278242*u/7 - 1391160/7.
-2*(u - 139116)*(u - 5)/7
Let 5*l**5 + 1566*l**4 + 22827*l**3 + 52406*l**2 - 280188*l - 375480 = 0. What is l?
-298, -10, -7, -6/5, 3
Determine k, given that -238216*k**2/5 + 1667522*k/5 - 14 = 0.
5/119108, 7
Let -r**2/4 + 116851*r/4 + 29213 = 0. Calculate r.
-1, 116852
Factor 62*d**3 + 457*d**2 - 1164*d - 2295.
(d - 3)*(d + 9)*(62*d + 85)
Solve -2*i**2 - 2113*i/5 + 51326/5 = 0.
-2333/10, 22
Suppose -3*j**4 - 1020*j**3 + 315714*j**2 + 109083036*j + 537396705 = 0. What is j?
-331, -5, 327
Factor s**3/5 + 610*s**2 - 1101563*s/5 - 3332112/5.
(s - 329)*(s + 3)*(s + 3376)/5
Factor -21*u**2 - 5087667*u + 726810.
-3*(u + 242270)*(7*u - 1)
Determine f so that -f**2/10 - 382221*f/10 + 152890 = 0.
-382225, 4
Find u, given that 4*u**3 + 1340*u**2 + 106588*u - 331932 = 0.
-199, -139, 3
Let -16*m**4 + 5682*m**3 - 234074*m**2 - 709482*m - 469710 = 0. Calculate m.
-15/8, -1, 51, 307
Solve -u**3/4 + 3061*u**2/4 - 10667*u/2 - 33594 = 0.
-4, 11, 3054
Let -3*v**4 - 699*v**3 - 6102*v**2 - 12096*v = 0. Calculate v.
-224, -6, -3, 0
Factor c**3/7 - 53*c**2/7 + 690*c/7.
c*(c - 30)*(c - 23)/7
Suppose 5*v**4 + 4160*v**3 + 53345*v**2 + 90090*v = 0. Calculate v.
-819, -11, -2, 0
Determine p so that -p**5/6 + 1459*p**4/3 - 2832961*p**3/6 + 456634660*p**2/3 + 917524600*p/3 + 459472000/3 = 0.
-1, 940, 1040
Solve l**3 + 20204*l**2 + 5833629*l - 5853834 = 0.
-19911, -294, 1
Factor 3*k**3 + 13269*k**2 - 3573171*k + 233689563.
3*(k - 129)**2*(k + 4681)
Let s**4 - 646649*s**3 + 14872397*s**2 + 646649*s - 14872398 = 0. Calculate s.
-1, 1, 23, 646626
What is j in j**4/2 - 731*j**3 + 264866*j**2 + 1774812*j - 58185648 = 0?
-18, 12, 734
Let -5*g**5 - 644300*g**4 - 3865680*g**3 - 7731280*g**2 - 5154160*g = 0. Calculate g.
-128854, -2, 0
Solve -8*q**2/3 + 6218*q/3 + 135756 = 0 for q.
-243/4, 838
Determine m, given that 3*m**2 + 5074116*m + 5074113 = 0.
-1691371, -1
Factor 39200*p**3 - 1306480*p**2 + 7802418*p + 54622152.
2*(p + 4)*(140*p - 2613)**2
Find h such that -5*h**2 - 4465*h + 3751440 = 0.
-1421, 528
Factor 3*a**2/7 - 349614*a - 14683896/7.
3*(a - 815772)*(a + 6)/7
Find k, given that -3*k**2 - 500826*k - 38545815 = 0.
-166865, -77
Factor 2*t**3/9 - 115480*t**2/9 + 187819450*t - 74864380500.
2*(t - 28665)**2*(t - 410)/9
Factor -2*w**2/7 + 14951354*w/7 - 14951352/7.
-2*(w - 7475676)*(w - 1)/7
What is v in -v**3 - 1450*v**2 + 54949*v - 104090 = 0?
-1487, 2, 35
Determine k, given that -10*k**5 - 608*k**4/5 - 596*k**3/5 + 2984*k**2 + 9230*k + 1400 = 0.
-7, -5, -4/25, 5
Find a, given that a**5/9 + 40*a**4/3 - 815*a**3/3 + 5480*a**2/9 + 4468*a/3 - 1840 = 0.
-138, -2, 1, 4, 15
Factor -f**2/3 - 27148*f/3 + 26489813/3.
-(f - 943)*(f + 28091)/3
Find z such that 3*z**4/5 + 4002024*z**3/5 + 1334666999856*z**2/5 - 10677528096768*z/5 + 21355184259072/5 = 0.
-667008, 4
Find f, given that f**2 - 19471480*f + 94784633347600 = 0.
9735740
Find i such that 20*i**3/3 - 503*i**2 + 13585*i/3 = 0.
0, 209/20, 65
Solve -3*w**2 + 72726720*w - 440764650163200 = 0.
12121120
Factor -t**3/5 - 929243*t**2/5 - 215873602883*t/5 - 215872673641/5.
-(t + 1)*(t + 464621)**2/5
Factor p**5/3 - 62050*p**4 + 3853671028*p**3 - 240195815737928*p**2/3 + 13342493622963904*p.
p*(p - 61994)**3*(p - 168)/3
Let -4*h**4 + 22284*h**3 - 111176*h**2 - 801504*h = 0. Calculate h.
-4, 0, 9, 5566
Factor -b**2/5 + 812744*b + 73147284/5.
-(b - 4063738)*(b + 18)/5
Factor f**3/4 - 248675*f**2/4 + 62168*f + 124337.
(f - 248674)*(f - 2)*(f + 1)/4
Solve 64*w**5 + 47520*w**4 + 8538372*w**3 + 12727480*w**2 + 4765764*w + 529200 = 0.
-441, -300, -1, -1/4
Factor -3*b**3 - 106062*b**2 - 278959716*b - 190894456296.
-3*(b + 1398)**2*(b + 32558)
Factor -12*b**2 + 467130945*b + 116782737.
-3*(b - 38927579)*(4*b + 1)
Determine y, given that -2*y**5/5 - 12712*y**4/5 - 20135658*y**3/5 + 40525956*y**2 = 0.
-3183, 0, 10
Solve 3*n**2/8 - 12639*n/8 - 68628 = 0 for n.
-43, 4256
Determine s, given that -s**2/2 + 2034423*s/2 + 1017212 = 0.
-1, 2034424
Find u such that -2*u**5 + 11010*u**4 - 15080774*u**3 - 197472738*u**2 - 608569184*u - 548069832 = 0.
-9, -2, 2759
Find b, given that 2*b**4 + 488*b**3 + 30246*b**2 + 107640*b - 340200 = 0.
-135, -105, -6, 2
Determine w so that 8*w**2/13 - 436298*w/13 - 327282 = 0.
-39/4, 54547
Determine f so that -4*f**4 + 1111948*f**3 - 5559668*f**2 + 7783508*f - 3335784 = 0.
1, 3, 277982
What is h in -24*h**3/7 + 12146454*h**2/7 + 4771842*h + 18219780/7 = 0?
-2, -3/4, 506105
Let -39*r**5 + 594*r**4 + 117*r**3 - 1704*r**2 - 1188*r = 0. Calculate r.
-1, 0, 2, 198/13
Factor -2*i**2/3 + 7822*i/3 + 448360.
-2*(i - 4076)*(i +