707555
Factor -x**2/3 + 308507*x/3 + 11830510.
-(x - 308622)*(x + 115)/3
Determine a so that 2*a**2/5 + 175174*a/5 + 1295740 = 0.
-87550, -37
Determine p, given that -60*p**4 - 11108*p**3 - 76240*p**2 - 9968*p = 0.
-178, -7, -2/15, 0
Factor -2*k**2/9 - 7526*k + 6861536/9.
-2*(k - 101)*(k + 33968)/9
Factor -2*o**2/11 + 24930*o/11 + 249500/11.
-2*(o - 12475)*(o + 10)/11
Find w such that -3*w**4/4 - 819*w**3/4 + 37227*w**2/4 + 2793195*w/4 + 5386500 = 0.
-304, -35, -9, 75
Factor 3*r**2/8 - 1320525*r/8 - 33677289/4.
3*(r - 440226)*(r + 51)/8
Find y, given that y**2/3 - 485*y - 79924/3 = 0.
-53, 1508
Solve -20*o**3 - 274272*o**2 - 13281988*o + 5356680 = 0.
-13665, -49, 2/5
Suppose -25*n**4/2 - 2550234335*n**3 - 260147808576703149*n**2/2 - 104059122206568782*n - 20811824359706258 = 0. What is n?
-102009373, -2/5
Determine i so that 2*i**2/5 - 16558*i - 6469788/5 = 0.
-78, 41473
Let 6*g**3/5 + 329*g**2/5 - 49838*g/5 + 57687/5 = 0. What is g?
-123, 7/6, 67
Factor 4838*a**3 - 75748*a**2 - 166010*a - 85424.
2*(a + 1)**2*(2419*a - 42712)
Factor -j**2 - 54728*j - 22054732.
-(j + 406)*(j + 54322)
What is g in -4*g**5/11 - 4474*g**4/11 + 339784*g**3/11 - 6664076*g**2/11 + 15082620*g/11 - 8753850/11 = 0?
-1191, 1, 3/2, 35
What is u in -605*u**4 + 55490*u**3 - 495585*u**2 + 1096600*u + 348500 = 0?
-34/121, 5, 82
Factor 2*k**3/11 + 127106*k**2/11 + 55384662*k/11 + 6054117030/11.
2*(k + 219)**2*(k + 63115)/11
Let 2*n**4/7 + 590*n**3/7 - 92*n**2 - 15440*n/7 - 14208/7 = 0. Calculate n.
-296, -4, -1, 6
Let 2*c**3/11 + 179176*c**2/11 + 4036196352*c/11 + 1037333905920/11 = 0. What is c?
-44664, -260
What is t in t**2 + 328994*t + 27059263009 = 0?
-164497
Let -640*m**5 + 293759*m**4 - 33854901*m**3 + 33509341*m**2 + 52441*m = 0. What is m?
-1/640, 0, 1, 229
Let -3*s**5 - 997704*s**4 + 21*s**3 + 6983946*s**2 + 5986224*s = 0. What is s?
-332568, -2, -1, 0, 3
Suppose -4*v**4 + 3888*v**3 + 104972*v**2 - 1180440*v + 2794400 = 0. Calculate v.
-35, 4, 5, 998
Factor -6*t**2/7 - 414354*t + 31905984/7.
-6*(t - 11)*(t + 483424)/7
Solve -142*h**3 - 2544*h**2 - 2198*h + 204 = 0.
-17, -1, 6/71
Find w, given that -16121*w**2/4 + 41475*w/2 - 54 = 0.
6/2303, 36/7
Solve -10*p**4/13 + 6044*p**3/13 - 910526*p**2/13 - 550916*p/13 + 28128 = 0.
-1, 2/5, 293, 312
Solve j**4/2 - 5904*j**3 - 17717*j**2 + 5904*j + 35433/2 = 0.
-3, -1, 1, 11811
Find g such that 2*g**5/13 + 516*g**4/13 + 13240*g**3/13 + 81904*g**2/13 - 212352*g/13 - 1442560/13 = 0.
-230, -14, -4, 4
Let -k**3/6 + 189601*k**2/2 - 13480654800*k - 40442248802/3 = 0. Calculate k.
-1, 284402
Let 3*u**5/8 + 789*u**4/8 + 19359*u**3/4 - 448527*u**2/2 - 952005*u - 969804 = 0. Calculate u.
-158, -132, -2, 31
Find i such that 5*i**2 + 539455*i - 61562850 = 0.
-108005, 114
Determine g, given that -5*g**3 - 277585*g**2 + 3886925*g - 13605095 = 0.
-55531, 7
Determine p, given that 3*p**4 - 9899*p**3 - 960693*p**2 + 648159*p + 322430 = 0.
-95, -1/3, 1, 3394
Determine a so that 4*a**4/5 - 712*a**3/5 + 39008*a**2/5 - 701312*a/5 + 2225664/5 = 0.
4, 28, 54, 92
Solve -n**5 - 113111*n**4/2 + 84835*n**3 - 56557*n**2/2 = 0.
-56557, 0, 1/2, 1
Let -3*t**4 - 468*t**3 - 19827*t**2 - 160998*t - 246384 = 0. Calculate t.
-87, -59, -8, -2
Solve d**4/2 - 781*d**3/2 + 1122*d**2 + 34902*d + 84024 = 0 for d.
-6, -3, 12, 778
Factor 2*p**2/23 + 4415952*p/23 + 17663776/23.
2*(p + 4)*(p + 2207972)/23
Solve -4*y**3/3 - 1727*y**2/6 - 1711*y/3 = 0.
-1711/8, -2, 0
Let 2*m**3 + 1954*m**2 + 486030*m + 5112558 = 0. Calculate m.
-513, -453, -11
Factor -a**2 + 4408*a - 4396575.
-(a - 2883)*(a - 1525)
Factor 5*q**3 + 9340*q**2 + 1126325*q - 5865750.
5*(q - 5)*(q + 135)*(q + 1738)
Suppose -15*u**5 - 99175*u**4 + 1822455*u**3 - 5270165*u**2 + 4541400*u - 994500 = 0. Calculate u.
-6630, 1/3, 1, 2, 15
Find n, given that -4*n**5/9 + 60548*n**4/9 + 4618976*n**3/9 + 29290096*n**2/3 = 0.
-38, 0, 15213
Suppose 22*h**5 + 68666*h**4 - 1230582*h**3 - 294674*h**2 + 1230560*h + 226008 = 0. What is h?
-3139, -1, -2/11, 1, 18
Factor -2*m**2 + 149720*m + 83558712.
-2*(m - 75414)*(m + 554)
Determine f so that -2*f**4 + 21022*f**3 - 126076*f**2 + 168080*f = 0.
0, 2, 4, 10505
Factor j**2 + 527667548*j + 69608260303083076.
(j + 263833774)**2
Solve 5*l**4 - 5215660*l**3 + 1813528445670*l**2 - 210187342173291740*l - 1471400259895863395 = 0.
-7, 347713
Factor -5*u**2 - 9560*u + 7739125.
-5*(u - 613)*(u + 2525)
Determine v, given that 5*v**5 + 198260*v**4 + 17021725*v**3 + 330139570*v**2 - 1531163700*v + 1602423000 = 0.
-39566, -45, 2
Solve v**2/4 + 11167*v/4 + 11165/2 = 0 for v.
-11165, -2
Factor f**5 - 1421*f**4 + 501243*f**3 + 2536141*f**2 + 2033476*f.
f*(f - 713)**2*(f + 1)*(f + 4)
Find c such that -3*c**4 - 1429818*c**3 + 8578980*c**2 - 17158008*c + 11438688 = 0.
-476612, 2
Let 3*n**3/2 - 133863*n**2/2 + 157652517*n/2 - 47048958657/2 = 0. What is n?
601, 43419
Let 4*s**5 - 1628*s**4 - 11688*s**3 + 39024*s**2 + 298080*s = 0. What is s?
-6, 0, 5, 414
Factor 3*v**2 - 64406178*v + 345679647047307.
3*(v - 10734363)**2
Find y such that y**3/4 + 2233265*y**2/4 + 311716197538*y - 935153617467 = 0.
-1116634, 3
Find f such that 5*f**5/2 + 430297*f**4/2 + 6625553*f**3/2 + 14197379*f**2/2 + 5119631*f + 1118572 = 0.
-86044, -13, -1, -2/5
Factor 2*j**4/17 + 7858*j**3/17 - 47202*j**2/17 + 70830*j/17.
2*j*(j - 3)**2*(j + 3935)/17
Factor 5*o**2 - 2353200*o + 82355875.
5*(o - 470605)*(o - 35)
Find v, given that -v**3/3 - 746*v**2/3 + 1157449*v/3 + 2317874/3 = 0.
-1511, -2, 767
Determine a so that -4*a**3 + 8709372*a**2 - 4740870440832*a + 52148521020464 = 0.
11, 1088666
Factor 3*c**4 + 18378*c**3 - 91953*c**2 + 73572*c.
3*c*(c - 4)*(c - 1)*(c + 6131)
Find c such that -2*c**2/7 + 48668*c/7 - 47382176/7 = 0.
1016, 23318
Factor 2*s**3/3 + 117124*s**2/3 + 337655746*s/3 + 249704727128/3.
2*(s + 1499)**2*(s + 55564)/3
Solve 6*d**2/5 - 2149332*d + 21493296/5 = 0 for d.
2, 1791108
Let -3*x**4/7 + 1131*x**3/7 + 31161*x**2/7 + 109821*x/7 + 79794/7 = 0. Calculate x.
-22, -3, -1, 403
Factor 2*k**2 - 113360*k - 3062178.
2*(k - 56707)*(k + 27)
Factor -2*z**4 + 14158*z**3 - 84894*z**2 + 127314*z.
-2*z*(z - 7073)*(z - 3)**2
Factor -3*y**2/2 + 2374449*y - 1879336017867/2.
-3*(y - 791483)**2/2
Suppose -16*i**3 - 16092*i**2 + 166804*i + 182880 = 0. What is i?
-1016, -1, 45/4
Suppose -3*x**4/2 + 3414*x**3 + 61887*x**2/2 - 219486*x + 287910 = 0. What is x?
-14, 2, 3, 2285
Factor 3*j**3 + 92478*j**2 + 810411651*j + 1450435286664.
3*(j + 2392)*(j + 14217)**2
Solve 7*v**3 + 11439*v**2/2 + 57567*v/2 - 34510 = 0.
-812, -85/14, 1
Suppose -f**5/2 + 223*f**4/2 + 14178*f**3 + 136096*f**2 - 11986048*f + 23312520 = 0. What is f?
-58, 2, 22, 315
Factor -3*g**3/4 + 450*g**2 - 49599*g + 1528956.
-3*(g - 468)*(g - 66)**2/4
Factor -3*f**3/7 - 173310*f**2/7 + 18396141*f/7 - 69674436.
-3*(f - 53)**2*(f + 57876)/7
Factor -3*t**2/2 + 3946860*t + 7893726.
-3*(t - 2631242)*(t + 2)/2
Factor 2*j**2 - 215594*j - 19851576.
2*(j - 107889)*(j + 92)
Factor -3*l**3/7 - 34176*l**2/7 - 32018580*l/7.
-3*l*(l + 1030)*(l + 10362)/7
Let -52*o**2/5 - 22006092*o/5 - 1692776/5 = 0. What is o?
-423194, -1/13
Determine w, given that -w**5 - 1216*w**4 - 379049*w**3 - 5579030*w**2 + 54084000*w - 82800000 = 0.
-600, -23, 2, 5
Suppose 20*x**5 + 34025*x**4 + 13827005*x**3 - 552931315*x**2 + 918128915*x + 264306350 = 0. What is x?
-869, -1/4, 2, 35
Suppose p**4 - 44052*p**3 + 646771440*p**2 - 3163573646128*p - 19004735165136 = 0. What is p?
-6, 14686
Suppose -4*b**4 + 2548*b**3 - 365292*b**2 - 13534452*b + 111776112 = 0. What is b?
-36, 7, 333
Factor 2*k**2 + 106361316*k + 1414091192656482.
2*(k + 26590329)**2
Suppose -2*x**5 + 121390*x**4/3 - 3354782*x**3/3 + 6181254*x**2 + 23639580*x - 18183600 = 0. What is x?
-3, 2/3, 15, 20204
Suppose 2414*r**4 + 132806*r**3/3 - 407746*r**2 - 428534*r/3 - 700 = 0. What is r?
-25, -1/3, -6/1207, 7
Determine c, given that -2*c**5 + 1922*c**4 - 436684*c**3 - 12264692*c**2 + 27547854*c + 39373938 = 0.
-27, -1, 3, 493
Factor w**2/3 + 275005*w/3 + 916650.
(w + 10)*(w + 274995)/3
Factor l**2/3 - 24345380*l/3 + 148174381836100/3.
(l - 12172690)**2/3
What is o in -8*o**4 - 16012*o**3 - 325104*o**2 - 435668*o + 301112 = 0?
-1981, -19, -2, 1/2
Factor -46710901*j**3 + 93421805*j**2 - 46710907*j + 3.
-(j - 1)**2*(46710901*j - 3)
Solve -l**2 - 290622896*