63*x**4 - 463308*x**3 - 1659285*x**2 - 959748*x + 952380 = 0.
-2, 1/2, 185, 429
Factor p**2 - 338451*p - 4061556.
(p - 338463)*(p + 12)
Let -7*l**4 + 823*l**3 - 7616*l**2 - 231364*l - 425568 = 0. Calculate l.
-11, -2, 186/7, 104
Find b, given that -b**4 + 5355*b**3 - 6805767*b**2 - 983543795*b - 2889234816 = 0.
-128, -3, 2743
Factor j**3/2 - 1164583*j**2/2 + 169522087268*j + 5594863013256.
(j - 582308)**2*(j + 33)/2
Factor 2*b**2 + 10215134*b + 51075620.
2*(b + 5)*(b + 5107562)
Determine a so that 5*a**3/2 + 89195*a**2/2 + 2710140*a - 17866890 = 0.
-17778, -67, 6
Let -10*x**4 - 13905*x**3 - 48565*x**2 - 27720*x + 27740 = 0. Calculate x.
-1387, -2, 1/2
Factor -3*v**3/7 - 92733*v**2/7 + 107226396*v/7.
-3*v*(v - 1116)*(v + 32027)/7
Factor -1284*j**3/17 + 246422*j**2/17 + 20352*j/17.
-2*j*(j - 192)*(642*j + 53)/17
Suppose 2*b**5/7 - 70890*b**4/7 + 89205166*b**3 + 66334984650*b**2/7 + 130171657500*b/7 = 0. What is b?
-103, -2, 0, 17775
Factor -5*y**3 - 62480*y**2 - 187395*y.
-5*y*(y + 3)*(y + 12493)
Determine u, given that -u**2/2 + 90440335*u - 8179454194912225/2 = 0.
90440335
Factor -2*i**2/7 + 283330760*i/7 - 283330758/7.
-2*(i - 141665379)*(i - 1)/7
Find a, given that -3*a**2 - 250092*a - 750249 = 0.
-83361, -3
What is u in -4182615*u**4 + 12547855*u**3 + 37643505*u**2 + 20912985*u - 50 = 0?
-1, 2/836523, 5
Suppose -2*a**2 + 64878348*a - 526150004901138 = 0. What is a?
16219587
Find d such that -3*d**3 + 419358*d**2 - 1677369*d - 2096730 = 0.
-1, 5, 139782
Factor 5189284*k**3 - 7385276*k**2 + 2428316*k - 232324.
4*(k - 1)*(1139*k - 241)**2
Factor 10169*c**2/6 + 40004845*c/6 - 1967/3.
(c + 3934)*(10169*c - 1)/6
Determine v so that -v**4/2 + 98645*v**3/2 - 17429187*v**2/2 + 34562443*v/2 - 8615950 = 0.
1, 175, 98468
Factor 5*g**2 - 31788550*g + 222519605.
5*(g - 6357703)*(g - 7)
Let 219996288000*n**3 - 879987249600*n**2 + 8390405*n - 20 = 0. Calculate n.
1/209760, 4
Solve 17096*c**3 - 1145428*c**2 + 8069044*c + 1888 = 0 for c.
-1/4274, 8, 59
Suppose -9*j**4/7 - 8088387*j**3/7 + 2696130*j**2/7 = 0. Calculate j.
-898710, 0, 1/3
Determine y so that 4*y**2 + 46636*y + 41551056 = 0.
-10687, -972
Factor -w**3 - 13674542*w**2 + 27349087*w - 13674544.
-(w - 1)**2*(w + 13674544)
Let -26*k**3/3 - 2057*k**2/3 + 1843*k/3 + 80 = 0. Calculate k.
-80, -3/26, 1
Factor 5*j**2 + 7334020*j - 7334025.
5*(j - 1)*(j + 1466805)
Factor x**2/4 + 6136*x - 20094305.
(x - 2926)*(x + 27470)/4
Find z, given that 3*z**3 + 906195*z**2/4 = 0.
-302065/4, 0
What is i in -15*i**2 + 26240859*i/7 + 1499478/7 = 0?
-2/35, 249913
What is y in -y**2/8 + 285695*y/4 + 2856975/8 = 0?
-5, 571395
Solve -3*s**4 + 163500*s**3 + 2944596*s**2 - 34019232*s = 0 for s.
-26, 0, 8, 54518
Factor -16*g**3 + 147013048*g**2 - 514545521*g + 450227288.
-(g - 9188312)*(4*g - 7)**2
Factor 2*s**2/15 - 123416*s/15 - 139910.
2*(s - 61725)*(s + 17)/15
Suppose 3*b**3/2 + 207879*b**2/2 + 2909817*b/2 + 6858621/2 = 0. What is b?
-69279, -11, -3
Suppose -2*y**2 - 16270*y - 1224968 = 0. What is y?
-8059, -76
Solve -10*a**5 + 28796*a**4 - 20433670*a**3 - 428127076*a**2 - 567454600*a - 159790000 = 0 for a.
-19, -1, -2/5, 1450
Find h, given that -10266*h**5/5 + 51302*h**4/5 + 30826*h**3 - 10182*h**2 - 143864*h/5 - 392/5 = 0.
-2, -1, -14/5133, 1, 7
What is j in -3*j**5 + 45178*j**4/5 + 733329*j**3/5 - 1673596*j**2/5 - 2688756*j/5 - 327024/5 = 0?
-18, -1, -2/15, 3, 3028
Solve -c**5/3 + 1213*c**4/3 - 40225*c**3/3 + 54569*c**2 + 68382*c = 0 for c.
-1, 0, 6, 29, 1179
What is v in v**4 - 62451*v**3 - 11712935*v**2 - 23238513*v - 11588030 = 0?
-185, -1, 62638
Find u, given that 2*u**3/3 - 38414*u**2/3 - 25622*u + 192090 = 0.
-5, 3, 19209
Factor -753424*l**3/5 - 12554752*l**2/5 + 4287436*l/5 - 362372/5.
-4*(l + 17)*(434*l - 73)**2/5
Factor -5*m**3 + 22661055*m**2 - 25676182016175*m + 25676159355125.
-5*(m - 2266105)**2*(m - 1)
Solve -2*m**2/5 + 36134724*m/5 - 163214784819522/5 = 0.
9033681
Suppose 2*f**2/5 - 166104*f/5 - 99666 = 0. What is f?
-3, 83055
Suppose 5*a**2 + 82920*a - 414725 = 0. Calculate a.
-16589, 5
Determine g so that 12*g**2 - 76299753*g + 57224808 = 0.
3/4, 6358312
Suppose -2*i**3 - 2248*i**2 - 426888*i = 0. What is i?
-882, -242, 0
Determine z so that z**5/3 + 4732*z**4 + 7900736*z**3/3 + 47063792*z**2/3 + 31300176*z + 62524672/3 = 0.
-13616, -574, -2
Factor -a**2/2 + 5014309*a/2 + 22564431.
-(a - 5014318)*(a + 9)/2
Factor -f**3/4 + 172*f**2 - 47931*f/4 + 217107.
-(f - 612)*(f - 43)*(f - 33)/4
Solve x**5 + 1246*x**4 + 28150*x**3 + 24688*x**2 - 1215935*x + 1161850 = 0.
-1223, -19, -10, 1, 5
Factor -3*c**4/4 - 134423685*c**3/4 + 403271091*c**2/2 - 403271103*c + 268847406.
-3*(c - 2)**3*(c + 44807901)/4
Find i such that -i**5/6 + 5165*i**4/6 - 6818933*i**3/6 + 383886463*i**2/6 + 141634483*i - 530115132 = 0.
-4, 2, 61, 2553
Factor 5*q**2/4 + 18265411*q/4 + 1826541/2.
(q + 3653082)*(5*q + 1)/4
Let -q**2/3 + 4639244*q/3 - 5380646222884/3 = 0. Calculate q.
2319622
Suppose -10676*m**4/19 + 37374*m**3/19 + 74704*m**2/19 + 26634*m/19 - 20/19 = 0. Calculate m.
-1, -1/2, 2/2669, 5
Factor o**3 + 1712*o**2 - 357013*o + 355300.
(o - 187)*(o - 1)*(o + 1900)
Factor 4*a**2 + 188052*a - 4515552.
4*(a - 24)*(a + 47037)
Find x such that -x**5 - 66*x**4 - 468*x**3 + 19976*x**2 - 37536*x = 0.
-46, -34, 0, 2, 12
Determine w, given that 35*w**2/2 - 45615*w/2 - 183580 = 0.
-8, 9179/7
Solve 5*r**3/3 + 1412902*r**2/3 - 22042520*r/3 - 9043072/3 = 0.
-282596, -2/5, 16
What is i in i**3/8 + 907*i**2/8 + 9765*i - 16268769/2 = 0?
-558, 209
Find n, given that n**2/3 + 4277447*n/3 - 1425816 = 0.
-4277448, 1
Solve -3*j**4 - 186690*j**3 - 560031*j**2 + 746724*j = 0 for j.
-62227, -4, 0, 1
Factor 5*l**4 - 8646275*l**3 - 17292565*l**2 - 8646285*l.
5*l*(l - 1729257)*(l + 1)**2
Factor 4*h**2 - 53860*h + 591976.
4*(h - 13454)*(h - 11)
Factor g**3/6 - 78589*g**2/6 - 117890*g/3 + 157184/3.
(g - 78592)*(g - 1)*(g + 4)/6
Suppose -2*u**4/13 - 328940*u**3/13 - 2302512*u**2/13 - 4933908*u/13 - 227718 = 0. What is u?
-164463, -3, -1
Let -3*y**2 - 113933262*y - 113933259 = 0. Calculate y.
-37977753, -1
Find z, given that -z**5/7 - 48*z**4/7 + 6315*z**3/7 + 105814*z**2/7 - 1927200*z + 28980000 = 0.
-75, 28, 46
Solve 2*s**2/7 + 282890*s/7 - 1697412/7 = 0 for s.
-141451, 6
Find o, given that o**2/4 + 16317*o/4 + 244305/2 = 0.
-16287, -30
Factor 2*i**2/13 - 6868600*i/13 + 5897208245000/13.
2*(i - 1717150)**2/13
Factor z**3/2 + 32591*z**2 + 4038401*z/2 + 31290160.
(z + 31)**2*(z + 65120)/2
Factor 21*l**2 + 305380854*l + 130877505.
3*(l + 14541945)*(7*l + 3)
Suppose -2*y**5/13 + 210534*y**4/13 - 5537095324*y**3/13 - 14072340600*y**2 - 26440830000*y = 0. What is y?
-31, -2, 0, 52650
What is u in -28*u**4 - 8620774*u**3 + 1847314*u**2 + 1231540*u = 0?
-307885, -2/7, 0, 1/2
What is o in -o**5/2 - 293*o**4/2 - 12555*o**3/2 + 120393*o**2/2 + 4362228*o = 0?
-239, -39, 0, 24
Determine d so that 2*d**3/5 + 8160776*d**2/5 + 32642984*d + 163214720 = 0.
-4080368, -10
Find h such that h**2/5 + 2272*h + 599271/5 = 0.
-11307, -53
Suppose 2*t**2/9 - 32276*t/3 + 1961394 = 0. What is t?
183, 48231
Suppose -112*h**5 - 371464*h**4/3 + 434035*h**3/3 + 224264*h**2/3 - 147151*h + 46482 = 0. What is h?
-7747/7, -1, 2/3, 3/4
Factor b**3 - 429*b**2 + 24147*b - 68607.
(b - 363)*(b - 63)*(b - 3)
Determine g, given that -5*g**3 + 1265*g**2 - 3730*g - 5000 = 0.
-1, 4, 250
Factor 5*m**2 + 55505*m + 2817750.
5*(m + 51)*(m + 11050)
What is z in -z**3/4 + 30331*z**2/2 - 2061445*z/4 + 1409601 = 0?
3, 31, 60628
Let -2*x**3 - 6702*x**2 - 5467734*x + 247663574 = 0. What is x?
-1697, 43
Solve -2*n**2/13 - 909320*n/13 + 26371962/13 = 0.
-454689, 29
Find b such that -2*b**2 - 666930*b + 2000808 = 0.
-333468, 3
Solve 3*x**5/2 - 76323*x**4 + 2288967*x**3/2 + 1220808*x**2 = 0 for x.
-1, 0, 16, 50867
Factor -x**2/4 + 5151*x/2 - 133757/4.
-(x - 10289)*(x - 13)/4
What is d in d**2/6 + 33869534*d/3 + 573572666688578/3 = 0?
-33869534
Factor 2*v**2/9 - 165332*v/3 + 1983952/9.
2*(v - 247994)*(v - 4)/9
Suppose 5*f**3 - 8580*f**2 + 8545*f + 51450 = 0. Calculate f.
-2, 3, 1715
Suppose -f**5 + 33164*f**4 - 366439903*f**3 + 1347026919140*f**2 + 21652622759600*f - 22999283272000 = 0. Calculate f.
-17, 1, 11060
Factor 3521858*x**3/5 + 743117346*x**2/5 + 223998*x + 422/5.
2*(x + 211)*(1327*x + 1)**2/5
Solve 4*b**4 + 1065