326
Determine u so that 2*u**2/9 - 155206*u/9 + 155204/9 = 0.
1, 77602
Factor -r**4/9 + 319*r**3/3 - 956*r**2/9.
-r**2*(r - 956)*(r - 1)/9
Factor 4*c**4 + 856*c**3 + 55636*c**2 + 1007376*c + 1798992.
4*(c + 2)*(c + 26)*(c + 93)**2
Factor 3*q**2 - 355842*q + 355839.
3*(q - 118613)*(q - 1)
Determine h, given that -4*h**5 + 364*h**4 - 6492*h**3 + 28276*h**2 + 49616*h - 71760 = 0.
-2, 1, 10, 13, 69
Factor d**3 - 379*d**2 + 378*d.
d*(d - 378)*(d - 1)
Let 132*t**4 - 408*t**3 + 75*t**2 + 372*t + 108 = 0. Calculate t.
-1/2, -9/22, 2
Factor 6*i**3 + 40*i**2 - 374*i + 120.
2*(i - 5)*(i + 12)*(3*i - 1)
Factor -3*u**3/5 - 3897*u**2/5 - 415017*u/5 - 2310039.
-3*(u + 57)**2*(u + 1185)/5
Factor -44*k**3/3 + 1296832*k**2/3 + 235792*k.
-4*k*(k - 29474)*(11*k + 6)/3
Suppose 3*j**3/7 + 1035*j**2/7 = 0. Calculate j.
-345, 0
Factor 4*t**2/3 - 38368*t/3 + 92006464/3.
4*(t - 4796)**2/3
Solve -m**2/8 - 3307*m - 21872498 = 0 for m.
-13228
Suppose -5*n**4 - 130185*n**3 - 1130395875*n**2 - 3277758746875*n - 39170552812500 = 0. Calculate n.
-8675, -12
Suppose 454*g**5 - 4090*g**4 - 61254*g**3 - 207846*g**2 - 218808*g + 1944 = 0. Calculate g.
-3, 2/227, 18
Factor 5*m**2 + 625*m - 44880.
5*(m - 51)*(m + 176)
Find j, given that -3*j**3/2 - 1377*j**2/2 + 157065*j + 157752 = 0.
-626, -1, 168
Factor -r**3 + 48*r**2 - 621*r + 1058.
-(r - 23)**2*(r - 2)
Suppose 2*w**2/3 + 916*w/3 - 922 = 0. What is w?
-461, 3
Suppose -4*j**3/7 - 180*j**2/7 - 2048*j/7 - 1872/7 = 0. Calculate j.
-26, -18, -1
Factor -3*f**2 - 531*f + 48114.
-3*(f - 66)*(f + 243)
Factor -s**3/5 - 58*s**2/5 - 559*s/5 + 7098/5.
-(s - 7)*(s + 26)*(s + 39)/5
Let i**4/2 - 63*i**3/2 + 16*i**2 + 966*i - 2232 = 0. Calculate i.
-6, 3, 4, 62
Find r such that 3*r**3 + 41673*r**2 + 144281352*r - 3048313968 = 0.
-6956, 21
Let 3*f**3 - 218349*f**2 + 3973132989*f - 3972914643 = 0. What is f?
1, 36391
Find l, given that 2*l**3/9 - 44*l**2 + 1984*l/3 - 23296/9 = 0.
8, 182
Suppose -4*i**4 + 24876*i**3 + 24900*i**2 - 124412*i + 74640 = 0. Calculate i.
-3, 1, 6220
Let -j**4/3 - 85*j**3/3 - 386*j**2/3 + 1120*j/3 = 0. What is j?
-80, -7, 0, 2
Factor -5493*q**4 - q**3.
-q**3*(5493*q + 1)
Factor -22*p**2 + 213954*p/5 - 1556.
-2*(p - 1945)*(55*p - 2)/5
Solve -5*v**4 - 2240*v**3 + 115200*v**2 - 1884160*v + 10158080 = 0.
-496, 16
Solve -15*n**5 - 17514*n**4 + 42123*n**3 + 3474*n**2 - 42108*n + 14040 = 0.
-1170, -1, 2/5, 1, 2
Factor 2*c**2/9 + 2260*c/9 + 61712/9.
2*(c + 28)*(c + 1102)/9
Solve -141*a**3/5 - 288*a**2/5 - 153*a/5 - 6/5 = 0.
-1, -2/47
Find d, given that 18*d**3/5 + 29812*d**2/5 + 6624*d/5 = 0.
-1656, -2/9, 0
Factor f**3 - 9991*f**2 - 260273*f - 1692873.
(f - 10017)*(f + 13)**2
Solve 121*m**5/9 + 946*m**4/9 + 236*m**3 + 1042*m**2/9 - 245*m/9 + 4/3 = 0 for m.
-4, -3, -1, 1/11
Factor 2*h**2 - 214*h + 4712.
2*(h - 76)*(h - 31)
Factor -h**2 - 7623*h - 129302.
-(h + 17)*(h + 7606)
Factor -5*a**5 + 680*a**4 + 45500*a**3 + 635440*a**2.
-5*a**2*(a - 188)*(a + 26)**2
Let -8*g**3 + 1172*g**2 + 3572*g + 2392 = 0. Calculate g.
-2, -1, 299/2
Factor 5*q**2/2 - 2280800*q + 520204864000.
5*(q - 456160)**2/2
What is i in i**4/4 - 165*i**3/2 - 7067*i**2/4 + 5874*i - 4025 = 0?
-23, 1, 2, 350
Let -36*i**2 + 216848*i + 96384 = 0. What is i?
-4/9, 6024
Factor 2*l**2/5 - 1988284*l/5 + 494159158082/5.
2*(l - 497071)**2/5
Factor k**3/8 - 225*k**2/4 + 16017*k/8 - 37183/2.
(k - 412)*(k - 19)**2/8
Suppose -50*w**5/7 - 1940*w**4/7 - 3624*w**3 - 117360*w**2/7 - 20736*w/7 + 746496/7 = 0. Calculate w.
-72/5, -6, 2
Factor -r**3/3 - 277*r**2/3 + 1358*r.
-r*(r - 14)*(r + 291)/3
Factor 1055*s**3 + 3585*s**2 + 1260*s.
5*s*(s + 3)*(211*s + 84)
Determine d, given that -d**4/5 + 483*d**3/5 - 59968*d**2/5 + 78540*d + 453152/5 = 0.
-1, 8, 238
Let 4*i**4/9 - 22*i**3/9 + 46*i/9 + 20/9 = 0. What is i?
-1, -1/2, 2, 5
Factor 3*j**3 + 21069*j**2 - 21078*j - 42144.
3*(j - 2)*(j + 1)*(j + 7024)
Determine s so that -5*s**3 + 685*s**2 - 3975*s + 5895 = 0.
3, 131
Factor -j**2/5 + 1518*j/5 + 5219.
-(j - 1535)*(j + 17)/5
Suppose -108*t**4 - 4704*t**3 + 9921*t**2 + 3447*t - 11070 = 0. What is t?
-410/9, -1, 3/2
Let -2*u**2/9 + 2636*u/9 - 13130/9 = 0. Calculate u.
5, 1313
Suppose 2*b**3/9 + 1850*b**2/9 - 7426*b/9 + 1858/3 = 0. Calculate b.
-929, 1, 3
Let 37748*n**3 - 75504*n**2 + 37764*n - 8 = 0. What is n?
2/9437, 1
Find y, given that 52*y**4 - 920*y**3 + 3156*y**2 + 15120*y - 62208 = 0.
-4, 48/13, 9
Solve u**4 + 200*u**3 - 405*u**2 - 200*u + 404 = 0 for u.
-202, -1, 1, 2
Suppose -4*w**5 + 56*w**4 + 852*w**3 + 2584*w**2 + 352*w - 3840 = 0. What is w?
-5, -4, -2, 1, 24
Find d such that 12*d**3/7 - 5120*d**2/7 - 12004*d/7 - 3432/7 = 0.
-2, -1/3, 429
Solve -5*x**4/4 + 2365*x**3/2 - 355320*x**2 + 55744115*x/2 + 7300314245/4 = 0.
-41, 329
Find y, given that 2*y**3/11 - 94*y**2/11 - 620*y/11 - 848/11 = 0.
-4, -2, 53
Factor -3*p**2/4 - 1887*p - 7545/4.
-3*(p + 1)*(p + 2515)/4
Let -2*d**4 + 420*d**3 + 26*d**2 - 5484*d + 5040 = 0. What is d?
-4, 1, 3, 210
Factor -3*y**2/4 + 10203*y/4 + 492795/2.
-3*(y - 3495)*(y + 94)/4
Factor 5*s**3 - 4995*s**2 + 1312200*s - 31886460.
5*(s - 486)**2*(s - 27)
Suppose 5*t**5 - 275*t**4 - 10005*t**3 + 275*t**2 + 10000*t = 0. Calculate t.
-25, -1, 0, 1, 80
Find z, given that z**4 - 247892*z**3 + 20483398590*z**2 - 564174247199108*z - 564194730845591 = 0.
-1, 82631
Determine p, given that p**4 - 125*p**3 - 4242*p**2 + 668164*p + 672280 = 0.
-70, -1, 98
What is s in -s**5 + 3*s**4 + 66*s**3 + 52*s**2 - 120*s = 0?
-6, -2, 0, 1, 10
Factor u**5 + 415*u**4 + 44871*u**3 + 374129*u**2 + 329672*u.
u*(u + 1)*(u + 8)*(u + 203)**2
Suppose 3*n**2 - 24270*n + 49086075 = 0. What is n?
4045
Determine o, given that -34*o**2/3 - 650*o/3 - 408 = 0.
-17, -36/17
Determine j, given that -12*j**5 + 357*j**4 + 1779*j**3 - 1530*j**2 = 0.
-5, 0, 3/4, 34
Determine s so that -2*s**3 - 26*s**2 - 62*s + 90 = 0.
-9, -5, 1
Suppose -194*z**4/19 + 400*z**3/19 + 12392*z**2/19 + 30272*z/19 - 1920/19 = 0. What is z?
-4, 6/97, 10
Determine t, given that -99*t**4/4 - 3867*t**3/4 + 16497*t**2/4 - 11757*t/4 - 387/2 = 0.
-43, -2/33, 1, 3
What is j in -27*j**2/7 - 116112*j/7 - 51600/7 = 0?
-4300, -4/9
Find m such that 3*m**3 - 84*m**2 - 357*m + 7830 = 0.
-10, 9, 29
Factor -2*o**2/15 + 104384*o/15 - 1362002432/15.
-2*(o - 26096)**2/15
Let -8*i**4 + 1066*i**3 + 822*i**2 - 2416*i + 536 = 0. What is i?
-2, 1/4, 1, 134
Find l such that -l**3 + 3323*l**2 - 2762243*l + 2758921 = 0.
1, 1661
Solve 2*f**2/7 - 5304*f/7 - 711680/7 = 0 for f.
-128, 2780
Solve 4*t**2 + 22636*t + 22632 = 0.
-5658, -1
Suppose 4*t**5/3 + 4868*t**4/3 + 53092*t**3/3 + 11060*t**2 - 236376*t = 0. Calculate t.
-1206, -7, 0, 3
Factor -3*r**2 + 2508*r - 12465.
-3*(r - 831)*(r - 5)
Find u such that -2*u**3/9 - 400*u**2/9 - 8296*u/9 + 1309792/9 = 0.
-122, 44
What is k in 3*k**2/4 - 6603*k/4 + 6597/2 = 0?
2, 2199
Suppose 507*k**4/8 + 886197*k**3/4 + 1547094279*k**2/8 - 834593067*k/2 + 449673147/2 = 0. What is k?
-1749, 14/13
Factor 2*d**3 - 194*d**2 - 31490*d - 843838.
2*(d - 191)*(d + 47)**2
Let 3*x**4 + 303*x**3 - 312*x**2 - 612*x = 0. Calculate x.
-102, -1, 0, 2
Factor -21*z**3/4 + 13*z**2 - 5*z.
-z*(z - 2)*(21*z - 10)/4
Factor -2*v**3 - 4*v**2 + 3630*v - 10800.
-2*(v - 40)*(v - 3)*(v + 45)
Factor 6*u**3 - 4588*u**2 + 74864*u - 47872.
2*(u - 748)*(u - 16)*(3*u - 2)
Factor 3*v**2 - 161010*v - 161013.
3*(v - 53671)*(v + 1)
Suppose 22*j**3 + 477*j**2 - 1197*j + 648 = 0. Calculate j.
-24, 9/11, 3/2
Let -2*k**4/5 + 39194*k**3/5 - 255962916*k**2/5 + 556633367928*k/5 + 557914162608 = 0. What is k?
-5, 6534
Factor 2*k**2 - 10942*k - 21892.
2*(k - 5473)*(k + 2)
Factor 2*f**4/3 - 110728*f**3/3 - 110732*f**2 - 332200*f/3 - 110734/3.
2*(f - 55367)*(f + 1)**3/3
Factor 2*n**4/13 - 474*n**3/13 + 37062*n**2/13 - 957790*n/13.
2*n*(n - 95)*(n - 71)**2/13
Find k, given that 3*k**5 - 66*k**4 - 12285*k**3 - 267540*k**2 - 1103088*k + 1382976 = 0.
-28, -7, 1, 84
Determine x so that -x**4/3 + 64*x**3/3 - 119*x**2/3 - 316*x/3 + 124 = 0.
-2, 1, 3, 62
Solve 8*y**4/15 - 202*y**3/3 - 260*y**2 = 0 for y.
-15/4, 0, 130
Determine m, given that -m**2/8 - 37*m/4 - 18 = 0.
-72, -2
Find x, given that 35*x**5 + 25771*x**4 - 43724*x**3 - 134176*x**2 + 103296*x - 17712 = 0.
-738, -2, 2/7, 2/5, 3
What is d in -3*d**5 + 756*d**4 - 47589*d**3 - 9864*d**2 + 628236*d - 571536 = 0?
-4, 