b + 1)*(b + 49507978)
Solve -r**2 - 39991*r + 13427892 = 0.
-40324, 333
Factor 2*u**2/3 - 1395740*u + 20936050/3.
2*(u - 2093605)*(u - 5)/3
Factor k**2/6 - 6609967*k/3 + 43691663741089/6.
(k - 6609967)**2/6
Factor -3*a**2/2 + 7376871*a.
-3*a*(a - 4917914)/2
Suppose -4284*f**4 + 102800*f**3 + 595860*f**2 + 747640*f + 2784 = 0. Calculate f.
-3, -2, -4/1071, 29
Determine i, given that -2*i**3 + 650*i**2 + 122096*i - 122744 = 0.
-134, 1, 458
Factor -o**2/2 - 2621402*o - 3435874222802.
-(o + 2621402)**2/2
Factor 311494*o**2/15 + 2491948*o/15 - 32/15.
2*(o + 8)*(155747*o - 2)/15
Let 2*y**5 - 214*y**4 - 6870*y**3 + 34510*y**2 + 148348*y + 107184 = 0. What is y?
-29, -2, -1, 7, 132
Factor 3*x**2 + 168043053*x - 336086118.
3*(x - 2)*(x + 56014353)
Factor -m**2 + 520934*m - 520933.
-(m - 520933)*(m - 1)
Solve 882*m**2/13 + 258187692*m/13 + 18894808475138/13 = 0.
-3073663/21
Factor 10658*v**4/15 - 1270054*v**3/15 + 13904*v**2 - 2856*v/5.
2*v*(v - 119)*(73*v - 6)**2/15
Determine l, given that l**4/8 + 3210*l**3 - 25683*l**2/8 - 25681*l/4 = 0.
-25681, -1, 0, 2
Solve -f**5/3 - 79*f**4 - 5431*f**3/3 + 3859*f**2 - 5908*f/3 = 0.
-211, -28, 0, 1
Factor -3*i**2 - 7205952*i - 14411892.
-3*(i + 2)*(i + 2401982)
Find c, given that -c**2/4 - 664*c - 163359/4 = 0.
-2593, -63
Suppose -p**3/5 + 404*p**2/5 - 10201*p + 2060602/5 = 0. What is p?
101, 202
Factor -4*v**2 - 18577664*v - 21570599981056.
-4*(v + 2322208)**2
Determine w so that w**5/2 - 116*w**4 + 3541*w**3/2 - 9273*w**2 + 20160*w - 15552 = 0.
2, 3, 8, 216
Factor b**2/7 + 162699*b/7 + 162698/7.
(b + 1)*(b + 162698)/7
What is r in 71*r**5/3 - 137675*r**4/3 + 1520242*r**3/3 - 5606416*r**2/3 + 2344544*r - 185088 = 0?
6/71, 3, 4, 1928
Factor f**5/8 - 2282135*f**4/4 + 5208112772545*f**3/8 + 15624447860275*f**2/2 + 31248968749030*f + 41665340351048.
(f - 2282141)**2*(f + 4)**3/8
Solve -o**2 + 3868*o - 2205235 = 0.
695, 3173
Factor -4*a**3 - 1492908*a**2 - 139302125724*a - 696473306420.
-4*(a + 5)*(a + 186611)**2
Determine m, given that 250*m**4 - 461580*m**3 + 1365998282*m**2/5 - 277610644248*m/5 + 18086239047368/5 = 0.
157, 19154/25
Suppose 12*o**3 + 1156*o**2 - 3816240*o - 1272208 = 0. Calculate o.
-614, -1/3, 518
Find f such that -6*f**2 + 11395175*f + 1899196 = 0.
-1/6, 1899196
Suppose 3*b**2/2 + 181599*b + 6173499/2 = 0. Calculate b.
-121049, -17
Solve 2*j**2/7 + 15068*j/7 + 2456304 = 0 for j.
-6132, -1402
Factor -151321*z**2 - 544600*z - 490000.
-(389*z + 700)**2
Let 18*t**3 - 5418394*t**2 + 15652918*t + 21071330 = 0. What is t?
-1, 35/9, 301019
Solve 2*g**2/7 + 430337568*g/7 + 23148802804019328/7 = 0.
-107584392
Factor -6*s**2/11 + 36683618*s/11 - 12227872/11.
-2*(s - 6113936)*(3*s - 1)/11
Find m such that 3*m**2 - 44968752*m + 168515721369792 = 0.
7494792
What is l in -4*l**3/3 + 171248*l**2/3 + 16647932*l/3 + 10870280 = 0?
-95, -2, 42909
Find q such that -2*q**3/7 + 39240*q**2/7 + 8691722*q/7 - 6348480 = 0.
-224, 5, 19839
Factor z**2/4 + 279283*z/4 + 279281/2.
(z + 2)*(z + 279281)/4
Factor 2*u**2/11 - 13956*u/11 + 3221242/11.
2*(u - 6739)*(u - 239)/11
Find u, given that -5*u**5 + 272830*u**4 + 9279895*u**3 + 114921780*u**2 + 612590220*u + 1189188000 = 0.
-11, -6, 54600
Determine x so that -x**3 + 3395*x**2 - 50726*x + 87880 = 0.
2, 13, 3380
What is j in 5*j**5 + 3185*j**4 + 292575*j**3 + 5764295*j**2 - 81194200*j + 223285500 = 0?
-531, -58, 5
Factor -2*k**2/9 + 240903692*k/9 - 7254323602403858/9.
-2*(k - 60225923)**2/9
Factor 2*o**3/9 + 18094*o**2/9 + 13492400*o/3 - 225229088.
2*(o - 49)*(o + 4548)**2/9
Factor -a**2 + 26641*a - 9046168.
-(a - 26297)*(a - 344)
Factor -2*y**2 - 13220*y - 20948250.
-2*(y + 2635)*(y + 3975)
Factor -4*t**2/9 + 229256*t - 10316420/9.
-4*(t - 515821)*(t - 5)/9
Factor x**3/8 + 301*x**2/2 - 2463003*x/2.
x*(x - 2594)*(x + 3798)/8
Factor -2*n**2/11 - 3306956*n/11 - 26455520/11.
-2*(n + 8)*(n + 1653470)/11
Factor 5*f**2 + 54650*f + 4662920.
5*(f + 86)*(f + 10844)
Let -r**4 - 256*r**3 - 8541*r**2 + 58534*r - 80840 = 0. What is r?
-215, -47, 2, 4
Solve -3*q**3/5 + 30399*q**2/5 + 54780*q - 669372/5 = 0.
-11, 2, 10142
Suppose -5*a**5/3 + 15115*a**4/3 - 3480820*a**3 - 63017920*a**2/3 - 126278080*a/3 - 28088720 = 0. What is a?
-2, 1082, 1947
Factor -k**3/4 - 587443*k**2 - 10573893*k.
-k*(k + 18)*(k + 2349754)/4
Solve -5*m**2 - 5975160*m + 5975165 = 0.
-1195033, 1
Determine i, given that 2*i**3/11 + 15150*i**2/11 + 181486*i/11 - 196638/11 = 0.
-7563, -13, 1
Factor -4*w**4 + 51540*w**3 + 8638308*w**2 + 359633356*w.
-4*w*(w - 13051)*(w + 83)**2
Find j, given that j**5 - 18907*j**4 - 113470*j**3 - 151310*j**2 + 113469*j + 170217 = 0.
-3, -1, 1, 18913
Let 4*g**2 + 78300*g + 157850504 = 0. What is g?
-17293, -2282
Find v such that v**2/2 + 22393*v/2 + 50113215 = 0.
-16210, -6183
Find u, given that u**5 - 1038*u**4 + 74147*u**3 - 144150*u**2 = 0.
0, 2, 75, 961
Factor 31*f**2/5 + 27471*f/5 + 508536.
(f + 105)*(31*f + 24216)/5
Factor 3*b**3 + 7326*b**2 + 953439*b - 960768.
3*(b - 1)*(b + 139)*(b + 2304)
What is s in -s**2/4 - 50229*s/4 + 19172224 = 0?
-51712, 1483
Suppose -s**2/3 - 305*s - 106586/3 = 0. What is s?
-778, -137
Factor -j**2 - 365313*j - 730622.
-(j + 2)*(j + 365311)
Let 25*k**5 + 510*k**4 - 114064*k**3 + 405472*k**2 - 430848*k + 143360 = 0. What is k?
-80, 4/5, 2, 56
What is a in -10*a**5/21 + 668*a**4/21 - 13784*a**3/21 + 126736*a**2/21 - 181504*a/7 + 297984/7 = 0?
6, 8, 194/5
What is g in -4*g**2/3 + 5355436*g/3 - 10710856/3 = 0?
2, 1338857
Solve 3*z**5 + 1239*z**4 - 80991*z**3 - 57420831*z**2 - 788495424*z - 1850985180 = 0 for z.
-302, -11, -3, 205
Find o, given that -3*o**4/2 + 22761*o**3 + 546591*o**2/2 + 797265*o = 0.
-7, -5, 0, 15186
What is f in -9181*f**2/3 - 1257793*f/3 + 548/3 = 0?
-137, 4/9181
Solve -2*s**5 + 118*s**4 - 1218*s**3 - 9702*s**2 + 37044*s = 0 for s.
-7, 0, 3, 21, 42
Let -4*p**4 - 2680*p**3 + 242724*p**2 - 453128*p - 1898528 = 0. Calculate p.
-751, -2, 4, 79
Let -45*n**3 - 171759*n**2 - 72954048*n + 9730260 = 0. What is n?
-3330, -487, 2/15
Let 3*m**5 + 135*m**4 - 76098*m**3 - 924216*m**2 - 3710304*m - 4955520 = 0. What is m?
-178, -4, 145
Find d such that -d**3/3 + 1449260*d**2/3 - 175030028719*d + 350058125094 = 0.
2, 724629
Factor 4*r**4 - 49632896*r**3 - 99265804*r**2 - 49632904*r.
4*r*(r - 12408226)*(r + 1)**2
Suppose -2*a**5 + 226*a**4 - 5614*a**3 + 19166*a**2 - 3432*a - 28440 = 0. Calculate a.
-1, 2, 3, 30, 79
Find b, given that -5*b**4 - 9601230*b**3 + 19202475*b**2 - 9601240*b = 0.
-1920248, 0, 1
Solve -2*j**4/5 - 2240896*j**3/5 + 49300598*j**2/5 - 18375700*j + 8963760 = 0 for j.
-1120470, 1, 20
What is g in -10*g**4/3 + 3557*g**3 - 15944*g**2 + 15919*g/3 + 7084 = 0?
-1/2, 1, 4, 5313/5
Let 18769*z**3/5 - 50771241*z**2/5 + 2964696*z/5 - 8656 = 0. Calculate z.
4/137, 2705
Let 4*p**4 - 632*p**3 + 2396*p**2 + 10712*p - 36960 = 0. What is p?
-4, 3, 5, 154
Determine p so that -5*p**3 + 24430000*p**2 + 5*p - 24430000 = 0.
-1, 1, 4886000
Solve -3*b**5/5 + 6*b**4 + 21831*b**3/5 - 858846*b**2/5 + 5132244*b/5 + 85374744/5 = 0.
-97, -7, 26, 62
Solve 5*w**2 - 27921830*w - 279218800 = 0 for w.
-10, 5584376
Factor -4*x**3/7 - 1451920*x**2.
-4*x**2*(x + 2540860)/7
Factor 5*x**2 + 99980030*x + 499800319940045.
5*(x + 9998003)**2
Determine y so that 4*y**4 - 40368*y**3 + 121052*y**2 + 161472*y - 484272 = 0.
-2, 2, 3, 10089
Solve 36*a**5/13 + 3034*a**4/13 - 13562*a**3 + 9672*a**2 = 0 for a.
-124, 0, 13/18, 39
Factor 2*j**2/11 + 12580*j/11 - 126000/11.
2*(j - 10)*(j + 6300)/11
Let t**5/4 + 3269*t**4 + 14158122*t**3 + 19911790872*t**2 - 1723076968716*t + 9618574947984 = 0. What is t?
-4386, 6, 76
Factor -4*b**2/3 - 215236*b/3 - 4303120/3.
-4*(b + 20)*(b + 53789)/3
Find t, given that 4*t**3/7 - 167779*t**2/7 + 11348599*t/7 + 2847636/7 = 0.
-1/4, 68, 41877
What is v in v**5/4 - 3771*v**4/4 - 572031*v**3/4 + 583339*v**2/4 + 575799*v/2 = 0?
-147, -1, 0, 2, 3917
Determine g so that g**5 + 287*g**4 + 4333*g**3 - 859*g**2 - 12434*g + 8672 = 0.
-271, -16, -2, 1
Let 3*t**3/7 + 11772*t**2/7 - 714720*t/7 + 9561600/7 = 0. What is t?
-3984, 20, 40
Factor 4*u**2 + 16156*u + 954960.
4*(u + 60)*(u + 3979)
Find y, given that -6*y**3/5 - 131446560*y**2 - 3599624611632000*y = 0.
-54769400, 0
What is s in 2*s**2/3 - 145906*s/3 + 1312668 = 0?
27, 72926
Find u such that 2*u**2/9 - 18778*u/3 -