44913, 1, 2
Let -3*l**5 + 3186*l**4 - 59739*l**3 + 300816*l**2 - 450576*l = 0. What is l?
0, 3, 4, 12, 1043
Factor n**4/2 - 1749965*n**3/2 + 1020751664625*n**2/2 - 198435819139093375*n/2 - 6947754811577601875.
(n - 583345)**3*(n + 70)/2
Determine y, given that 21*y**4 - 11771842*y**3 + 22422497*y**2 - 9529552*y - 1121124 = 0.
-2/21, 1, 560562
Solve -261*d**3/4 + 439241*d**2/4 + 18517*d/2 - 3366 = 0 for d.
-2/9, 4/29, 1683
Factor m**2/4 - 665369*m/4 - 7319301/2.
(m - 665391)*(m + 22)/4
Factor -3*a**2 - 70644*a + 12167847.
-3*(a - 171)*(a + 23719)
Suppose l**2/2 - 285048*l - 570097/2 = 0. Calculate l.
-1, 570097
Determine b so that b**3 + 153*b**2 - 58240*b - 1536000 = 0.
-320, -25, 192
Factor -3*b**2 - 1266*b + 1079925.
-3*(b - 425)*(b + 847)
Suppose -l**4 + 167*l**3 - 3919*l**2 + 3753*l = 0. What is l?
0, 1, 27, 139
What is w in -159*w**2 + 37904*w = 0?
0, 37904/159
Determine n so that -4*n**4/7 + 68*n**3 + 44924*n**2/7 - 612*n - 403992/7 = 0.
-62, -3, 3, 181
Determine q, given that -1012926*q**2 + 7090490*q - 56 = 0.
4/506463, 7
Let 2*j**2 + 3056*j - 318696 = 0. Calculate j.
-1626, 98
Determine z so that z**4 + 184*z**3 - 6552*z**2 - 28384*z - 29104 = 0.
-214, -2, 34
Let -5*m**3 - 670*m**2 + 90905*m + 184450 = 0. What is m?
-217, -2, 85
Suppose 5*f**2 + 1810815*f + 27161100 = 0. Calculate f.
-362148, -15
Factor -3*v**2 + 50817420*v - 215200847954700.
-3*(v - 8469570)**2
Factor y**4 + 65*y**3 + 500*y**2 - 12500*y.
y*(y - 10)*(y + 25)*(y + 50)
Factor 2*j**2/9 - 32642206*j/9 + 32642204/9.
2*(j - 16321102)*(j - 1)/9
What is s in 2*s**3 + 25994*s**2 + 906440*s - 11665800 = 0?
-12962, -45, 10
Solve -2*d**2 - 11572*d - 1985586 = 0 for d.
-5609, -177
Find i, given that -i**2/3 - 58399*i/3 - 642268/3 = 0.
-58388, -11
Determine t so that -t**5/3 - 8374*t**4/3 - 5793156*t**3 + 634845670*t**2/3 - 3589451075*t/3 = 0.
-4205, 0, 7, 29
Factor -d**2/6 + 264903*d + 6357768.
-(d - 1589442)*(d + 24)/6
Factor w**3 - 767*w**2 - 440068*w - 439300.
(w - 1150)*(w + 1)*(w + 382)
Solve 5*o**3 - 2421535*o**2 + 293192798575*o - 293190377045 = 0 for o.
1, 242153
Determine z, given that 2*z**5/9 + 881318*z**4/9 + 97091499104*z**3/9 + 291266565496*z**2/9 - 3525248*z/9 - 388355420672/9 = 0.
-220328, -2, 1
What is j in 2*j**2 + 323712*j + 1618510 = 0?
-161851, -5
Solve -8*y**5 + 13012*y**4 - 4105696*y**3 + 6135788*y**2 - 2043096*y = 0.
0, 1/2, 1, 426, 1199
Solve -155830*c**2/7 + 2*c/7 = 0 for c.
0, 1/77915
Suppose 3*u**3/2 - 12299508*u**2 + 147594015*u/2 - 110695491 = 0. Calculate u.
3, 8199666
Solve 2*v**4/7 - 4498428*v**3/7 + 2529886635018*v**2/7 - 455270288334840*v/7 + 20485523429281800/7 = 0 for v.
90, 1124517
Find s such that -2*s**3/5 + 3356*s**2/5 + 40174*s - 1068760 = 0.
-77, 20, 1735
Factor -c**3/2 + 5484299*c**2/2 - 43874296*c + 175497056.
-(c - 5484283)*(c - 8)**2/2
Suppose -2*m**2/3 + 1808744*m/3 - 15072450 = 0. Calculate m.
25, 904347
Factor 5*o**3 - 1295*o**2 + 73075*o - 449785.
5*(o - 181)*(o - 71)*(o - 7)
Let -2*c**3/7 - 1443630*c**2/7 - 37215801792*c - 111645549288 = 0. What is c?
-360906, -3
Factor -464577*o**2 + 6*o.
-3*o*(154859*o - 2)
Find v such that -1813*v**4/3 + 495131*v**3/3 - 181117*v**2 + 64491*v - 7344 = 0.
9/37, 3/7, 272
Let t**2 + 11907606*t - 11907607 = 0. Calculate t.
-11907607, 1
Factor -b**2 + 2723*b - 51376.
-(b - 2704)*(b - 19)
Suppose 5*t**5/2 + 105215*t**4/2 + 554927715*t**3/2 + 14911377025*t**2/2 + 12970182020*t - 20703387000 = 0. What is t?
-10508, -25, -3, 1
Factor -2*h**3/9 + 3530390*h**2/9 - 28243024*h/9 + 56485984/9.
-2*(h - 1765187)*(h - 4)**2/9
Determine q, given that -5*q**5 + 2255*q**4 + 39715*q**3 - 2229775*q**2 + 4331410*q - 2143600 = 0.
-40, 1, 23, 466
Factor 5*y**3 - 5605*y**2 + 1578770*y - 4686000.
5*(y - 568)*(y - 550)*(y - 3)
Factor 3*r**2 + 547254456*r + 24957286634321328.
3*(r + 91209076)**2
Find d such that 4*d**5 - 4788*d**4 - 465976*d**3 + 3424056*d**2 - 7447500*d + 4494204 = 0.
-97, 1, 3, 1287
Factor -4*x**2 + 17452*x - 260880.
-4*(x - 4348)*(x - 15)
Factor -3*d**2 - 25277640*d + 50555292.
-3*(d - 2)*(d + 8425882)
Factor 2*u**2 - 57230*u + 2400132.
2*(u - 28573)*(u - 42)
Factor -12*k**2/5 + 28022*k/5 - 111896/5.
-2*(k - 4)*(6*k - 13987)/5
Solve 2*z**2 - 83612708*z + 873885617386658 = 0.
20903177
Suppose y**4/2 - 43*y**3/2 - 570*y**2 + 36992*y - 419840 = 0. What is y?
-41, 20, 32
Determine a, given that 2*a**5/15 + 18*a**4/5 - 50084*a**3/15 - 50248*a**2/3 - 134128*a/5 - 40256/3 = 0.
-170, -2, -1, 148
Let -h**2 - 26874506*h + 80623527 = 0. What is h?
-26874509, 3
Let 3*j**3/4 + 9631443*j**2/4 + 7730405635665*j/4 + 23191130224089/4 = 0. Calculate j.
-1605239, -3
Let -2*h**5/3 + 2218*h**4/3 - 504754*h**3/3 - 15224170*h**2/3 - 4905732*h = 0. What is h?
-26, -1, 0, 369, 767
Factor -3*p**4/4 - 1863*p**3/4 + 34572*p**2.
-3*p**2*(p - 67)*(p + 688)/4
Factor -v**3 - 41885*v**2 - 448407232*v - 204468728832.
-(v + 477)*(v + 20704)**2
Factor d**3 + 224*d**2 - 181385*d - 181608.
(d - 329)*(d + 1)*(d + 552)
Determine q, given that -63*q**5/4 + 60623*q**4/4 - 197567*q**3/4 + 12361*q**2/4 + 50815*q/2 + 5754 = 0.
-4/9, -2/7, 1, 3, 959
Factor -1057*c**2 - 58781*c/5 - 7106/5.
-(c + 11)*(5285*c + 646)/5
Factor c**4/7 - 207162*c**3/7 + 2485836*c**2/7 - 7457400*c/7.
c*(c - 207150)*(c - 6)**2/7
What is f in 5*f**2 + 119231750*f + 710810510403125 = 0?
-11923175
Factor 3*i**2 - 8770002*i + 8769999.
3*(i - 2923333)*(i - 1)
Solve 3*h**2/5 + 1415448*h/5 + 29717793 = 0 for h.
-471711, -105
Let 85*m**5/7 - 6011*m**4 - 12643270*m**3/7 - 12304588*m**2/7 + 42360*m = 0. Calculate m.
-210, -1, 0, 2/85, 706
What is c in -3*c**5 - 738*c**4 + 17688*c**3 - 1458*c**2 - 387909*c + 759780 = 0?
-268, -5, 3, 21
Find j, given that 18*j**5 + 22239050*j**4 + 6869043943628*j**3 - 35872166757784*j**2 + 35109020647344*j - 6105920072256 = 0.
-617754, 2/9, 1, 4
Suppose -3*t**5/5 - 456*t**4/5 + 133113*t**3/5 - 1662834*t**2/5 + 760608*t = 0. Calculate t.
-304, 0, 3, 10, 139
Solve -2*y**3/21 + 136860*y**2/7 - 15048550*y/7 + 1241339000/21 = 0 for y.
55, 205180
Find j such that 2*j**2 - 2070*j - 1244772 = 0.
-426, 1461
Determine b so that -73651220*b**2 - 191631340*b - 124650245 = 0.
-4993/3838
Factor -2*r**2/5 + 534506*r/5 + 4810716/5.
-2*(r - 267262)*(r + 9)/5
Solve 2*g**2 - 5064*g + 218944 = 0 for g.
44, 2488
Let 2*x**2/9 + 696470*x/9 - 696476/3 = 0. Calculate x.
-348238, 3
Factor 3*x**3 - 5064*x**2 + 1537581*x.
3*x*(x - 1291)*(x - 397)
Factor 5*f**3 + 19060*f**2 - 70558895*f + 48653593010.
5*(f - 1243)**2*(f + 6298)
Let -l**5 - 324*l**4 + 17235*l**3 - 75290*l**2 - 128604*l + 186984 = 0. Calculate l.
-371, -2, 1, 6, 42
Factor 5*c**5 + 232425*c**4 + 3652858755*c**3 + 20183674220955*c**2 + 12169905973937460*c.
5*c*(c + 684)*(c + 15267)**3
Let -2*o**5/3 + 53698*o**4/3 - 250482*o**3 + 1771102*o**2/3 + 214768*o/3 - 787160 = 0. What is o?
-1, 2, 11, 26835
Suppose -c**4/4 + 1063*c**3/4 + 458629*c**2/4 - 920443*c/4 + 115188 = 0. Calculate c.
-331, 1, 1392
Let -298*u**5/7 + 81656*u**4/7 + 163698*u**3/7 - 83864*u**2/7 - 163400*u/7 + 2208/7 = 0. What is u?
-2, -1, 2/149, 1, 276
Determine p, given that 2*p**3/3 + 187696*p**2/3 + 4408599592*p/3 + 228739930016/3 = 0.
-46898, -52
Determine f, given that -f**3/5 + 1019*f**2/5 + 45476*f/5 + 40356 = 0.
-38, -5, 1062
Suppose -3*k**2 - 14466*k + 8615664 = 0. Calculate k.
-5358, 536
Let 2*o**5 + 23120*o**4 - 579202*o**3 + 556080*o**2 = 0. What is o?
-11585, 0, 1, 24
Factor 3*h**2/4 - 22295169*h/4 - 5573793.
3*(h - 7431724)*(h + 1)/4
Determine g so that g**4/7 + 29889*g**3/7 - 4270*g**2 = 0.
-29890, 0, 1
Suppose -2*i**3/9 + 436*i**2 - 89278*i/9 + 54292/3 = 0. Calculate i.
2, 21, 1939
Let -4*c**4 + 30916768*c**3 - 59740316222488*c**2 - 358442732088096*c - 537664515508836 = 0. Calculate c.
-3, 3864599
Determine h, given that h**3 - 88*h**2 + 665*h + 41650 = 0.
-17, 35, 70
What is x in x**5 - 1454*x**4 - 20791*x**3 + 351716*x**2 - 1269252*x + 1321200 = 0?
-25, 2, 3, 6, 1468
Factor 3*m**3/4 - 1625760*m**2.
3*m**2*(m - 2167680)/4
Find r such that -5*r**3 - 62825500*r**2 - 197352046861440*r + 789409192654080 = 0.
-6282552, 4
Determine p so that 2*p**3 - 7060*p**2 - 408918*p = 0.
-57, 0, 3587
Factor 4*x**2 - 6249012*x + 37493928.
4*(x - 1562247)*(x - 6)
Let -5*h**4 + 102070*h**3 - 526078680*h**2 + 52560549920*h + 218665992320 = 0. What is h?
-