075*p**3/2 - 9754125*p**2/2 + 284923125*p = 0. Calculate p.
-185, 0, 30
Factor -5*f**5 - 30*f**4 - 10*f**3 + 180*f**2 + 135*f - 270.
-5*(f - 2)*(f - 1)*(f + 3)**3
Factor 2*g**2/5 + 225344*g/5 + 6347489792/5.
2*(g + 56336)**2/5
Factor 2*p**3/5 - 132*p**2/5 - 7442*p/5 + 22932.
2*(p - 98)*(p - 13)*(p + 45)/5
Factor n**2 - 86*n - 19176.
(n - 188)*(n + 102)
Factor -142*j**2/7 - 1068*j/7 + 1270.
-2*(j - 5)*(71*j + 889)/7
Factor -p**3/6 + 20*p**2/3 + 43*p/6 - 41/3.
-(p - 41)*(p - 1)*(p + 2)/6
Determine p, given that -4*p**4 + 28*p**3 + 420*p**2 - 1404*p = 0.
-9, 0, 3, 13
Suppose -4*y**4/3 - 112*y**3 + 3188*y**2/3 + 7552*y + 19136/3 = 0. What is y?
-92, -4, -1, 13
Find p, given that 48*p**3 - 173928*p**2 - 86973*p - 10872 = 0.
-1/4, 3624
Determine s so that -357911*s**5/3 - 1159430*s**4/3 - 17963*s**3 + 182142*s**2 - 61236*s + 5832 = 0.
-3, -1, 18/71
Solve 4*d**4 + 75612*d**3 - 75620*d**2 - 75612*d + 75616 = 0.
-18904, -1, 1
Solve 4*u**2 + 12720*u + 25424 = 0 for u.
-3178, -2
Find c such that -21*c**4 - 708*c**3 - 5760*c**2 - 7536*c + 2640 = 0.
-22, -10, -2, 2/7
Suppose 2*d**3/11 + 137206*d**2/11 + 274404*d/11 = 0. What is d?
-68601, -2, 0
Determine g so that -5*g**4 + 75*g**3 + 1400*g**2 + 5700*g + 6480 = 0.
-6, -4, -2, 27
Factor -2*v**2 + 27920*v - 139550.
-2*(v - 13955)*(v - 5)
Factor -2*b**2 + 723654*b + 723656.
-2*(b - 361828)*(b + 1)
Let w**5 - 692*w**4 - 7709*w**3 - 16872*w**2 = 0. What is w?
-8, -3, 0, 703
Determine y so that 4*y**5 - 1240*y**4 + 124228*y**3 - 3895008*y**2 - 8167680*y - 4147200 = 0.
-1, 72, 120
Solve -4*g**2 + 64680*g - 261468900 = 0 for g.
8085
Solve -4*o**4 + 45*o**3 + 173*o**2 - 270*o + 56 = 0.
-4, 1/4, 1, 14
Suppose -5*i**4 + 300*i**3 - 5055*i**2 + 16520*i - 11760 = 0. What is i?
1, 3, 28
Let g**3/9 + 18964*g**2/9 - 18967*g/9 - 37930/9 = 0. What is g?
-18965, -1, 2
Factor 2*c**4 - 1940*c**3 + 633600*c**2 - 71680000*c + 655360000.
2*(c - 320)**3*(c - 10)
Determine n so that -3*n**2 - 573*n + 7308 = 0.
-203, 12
Factor m**3/9 + 128*m**2/3 - 43*m - 770/9.
(m - 2)*(m + 1)*(m + 385)/9
Suppose 5*v**3 + 1296875*v**2 = 0. Calculate v.
-259375, 0
Solve -150*a**5 + 2600*a**4 - 7626*a**3 - 10816*a**2 + 1224*a + 1664 = 0.
-1, -2/5, 2/5, 16/3, 13
Factor 3*n**2 + 102*n - 27360.
3*(n - 80)*(n + 114)
Let -4*s**3 - 206*s**2 + 1670*s + 1872 = 0. Calculate s.
-117/2, -1, 8
Let 4*s**2 - 331196*s + 331192 = 0. Calculate s.
1, 82798
Factor -3*c**2/7 + 324*c + 44625.
-3*(c - 875)*(c + 119)/7
Solve 87*k**3/5 - 275439*k**2/5 - 285027*k/5 - 9501/5 = 0 for k.
-1, -1/29, 3167
Factor 2*q**3 - 56*q**2 + 242*q - 276.
2*(q - 23)*(q - 3)*(q - 2)
Solve 4*m**5 + 1428*m**4 - 13188*m**3 - 4276*m**2 + 42384*m - 26352 = 0 for m.
-366, -2, 1, 9
Factor -2*m**4 - 262*m**3 - 7324*m**2 + 76384*m.
-2*m*(m - 8)*(m + 62)*(m + 77)
Factor -5*i**3 + 18620*i**2 - 17297920*i - 69489920.
-5*(i - 1864)**2*(i + 4)
Factor -j**3 - 12337*j**2 - 49332*j.
-j*(j + 4)*(j + 12333)
Factor 3*t**3 + 24105*t**2 + 48384741*t - 145371249.
3*(t - 3)*(t + 4019)**2
What is r in -80*r**5 - 5135*r**4 - 79840*r**3 - 157510*r**2 - 95640*r - 12915 = 0?
-41, -21, -1, -3/16
What is n in -3*n**4 + 1596*n**3 - 4758*n**2 - 1596*n + 4761 = 0?
-1, 1, 3, 529
Suppose 5*y**2 - 7710*y - 132515 = 0. What is y?
-17, 1559
Factor 2*n**2 + 152*n - 312.
2*(n - 2)*(n + 78)
Factor 4*l**2 - 8412*l + 33584.
4*(l - 2099)*(l - 4)
Find u, given that -60*u**4 - 429*u**3 - 609*u**2 + 180*u = 0.
-5, -12/5, 0, 1/4
Factor 3*g**3 - 336*g**2 + 1353*g + 26964.
3*(g - 107)*(g - 12)*(g + 7)
What is k in -k**2 - 1471773*k + 1471774 = 0?
-1471774, 1
Suppose 2*b**3/11 - 28344*b**2/11 + 1046062*b/11 - 92520 = 0. Calculate b.
1, 36, 14135
Factor 3*b**2 - 7647*b - 7650.
3*(b - 2550)*(b + 1)
Factor -y**2 - 1472454*y - 542030195529.
-(y + 736227)**2
Factor -5*r**3 + 5590*r**2 - 93945*r + 396360.
-5*(r - 1101)*(r - 9)*(r - 8)
Factor -116*w**3/5 - 234*w**2/5 - 24*w - 2/5.
-2*(w + 1)**2*(58*w + 1)/5
Determine w so that -5*w**2 - 16655270*w - 13869900938645 = 0.
-1665527
Factor 2*z**3 + 15576*z**2 + 30435210*z + 423045532.
2*(z + 14)*(z + 3887)**2
Factor 2*o**3/3 - 5446*o**2/3 + 1234880*o + 1236696.
2*(o - 1362)**2*(o + 1)/3
Find v, given that v**4 - 9*v**3 - 316*v**2 + 660*v = 0.
-15, 0, 2, 22
Factor -x**2 + 270*x - 536.
-(x - 268)*(x - 2)
Factor 2*m**2/7 - 5038*m/7.
2*m*(m - 2519)/7
Determine c so that 3*c**4 + 621*c**3 - 32001*c**2 + 62127*c - 30750 = 0.
-250, 1, 41
Find o, given that -3*o**4/7 + 681*o**3/7 + 17124*o**2/7 + 4500*o = 0.
-21, -2, 0, 250
Let c**5 - 136*c**4 + 131*c**3 + 544*c**2 - 540*c = 0. What is c?
-2, 0, 1, 2, 135
What is j in j**4 - 130*j**3 + 4179*j**2 - 4050*j = 0?
0, 1, 54, 75
Find c such that -69*c**3/8 - 369*c**2/8 - 75*c/8 + 225/8 = 0.
-5, -1, 15/23
Let -2*u**5/15 + 116*u**4/3 + 944*u**3/3 + 2848*u**2/3 + 3808*u/3 + 9536/15 = 0. Calculate u.
-2, 298
Suppose 10*t**3/9 + 8266*t**2/9 + 1652*t/3 = 0. What is t?
-826, -3/5, 0
Factor 1539*q**3 + 79227*q**2 + 1034080*q + 370300.
(9*q + 230)**2*(19*q + 7)
Factor -z**2/3 - 81*z.
-z*(z + 243)/3
Let -i**2/2 - 635*i + 1271/2 = 0. Calculate i.
-1271, 1
Factor -3*n**2/4 - 5322*n - 9441228.
-3*(n + 3548)**2/4
Factor 3*k**3 - 44388*k**2 - 88797*k + 133182.
3*(k - 14798)*(k - 1)*(k + 3)
Solve 5*s**5 + 135*s**4 + 120*s**3 - 260*s**2 = 0 for s.
-26, -2, 0, 1
Suppose -h**4/10 + 3*h**3/10 + 31*h**2/10 - 3*h/10 - 63/5 = 0. What is h?
-3, 2, 7
Let n**3/2 + 812*n**2 + 98075*n/2 - 209174 = 0. Calculate n.
-1561, -67, 4
Determine k, given that 4*k**2/5 + 13992*k/5 + 195104/5 = 0.
-3484, -14
Let -5*a**2 + 336655*a + 336660 = 0. Calculate a.
-1, 67332
Suppose -2*r**5 + 2*r**4 + 514*r**3 + 3086*r**2 + 3088*r - 6688 = 0. Calculate r.
-11, -4, 1, 19
Factor q**2 - 92340*q + 2131668900.
(q - 46170)**2
Factor -q**3/3 - 472*q**2/3 + 6791*q/3 - 2106.
-(q - 13)*(q - 1)*(q + 486)/3
Factor -4*m**3 + 1692*m**2 + 26176*m + 45552.
-4*(m - 438)*(m + 2)*(m + 13)
Let w**3/4 - 825*w**2/4 - 348657*w/4 - 347831/4 = 0. What is w?
-307, -1, 1133
Determine h, given that -2*h**4 - 3126*h**3 - 98496*h**2 - 783872*h = 0.
-1531, -16, 0
Find w, given that 507*w**4/2 - 7917*w**3 - 133461*w**2/2 + 2552640*w + 2611200 = 0.
-17, -1, 320/13
Determine d, given that d**3/4 - 1571*d**2/2 - 6296*d - 12600 = 0.
-4, 3150
Let 6*z**3 - 58*z**2 - 640*z - 1000 = 0. What is z?
-5, -2, 50/3
Determine h, given that 15*h**5 - 13145*h**4 - 182530*h**3 + 71060*h**2 + 124600*h = 0.
-14, -2/3, 0, 1, 890
What is y in y**5/2 - y**4 - 4*y**3 - y**2 + 7*y/2 + 2 = 0?
-1, 1, 4
Factor 3*w**2 - 8466*w + 234696.
3*(w - 2794)*(w - 28)
Determine h, given that -6*h**4 - 18923*h**3 - 34622*h**2 + 157592*h - 25216 = 0.
-3152, -4, 1/6, 2
Let 2*n**3/9 + 2470*n**2/9 - 824*n/3 = 0. What is n?
-1236, 0, 1
Factor -2*o**2/9 + 106*o/9 + 1232/3.
-2*(o - 77)*(o + 24)/9
Determine q, given that -13*q**5/3 - 2468*q**4/3 - 121768*q**3/3 - 146070*q**2 - 89001*q + 17298 = 0.
-93, -3, -1, 2/13
Factor 64*x**2/15 + 154*x + 72/5.
2*(x + 36)*(32*x + 3)/15
Find z, given that -2*z**5/5 - 254*z**4/5 - 3894*z**3/5 + 90926*z**2/5 - 169144*z/5 + 82368/5 = 0.
-104, -36, 1, 11
Factor 5*h**2/2 + 5424*h + 6507/2.
(h + 2169)*(5*h + 3)/2
Find t, given that -t**5/6 - 269*t**4/6 - 169*t**3/2 + 7157*t**2/6 - 6928*t/3 + 1246 = 0.
-267, -7, 1, 2
Solve j**2 - 470*j + 4600 = 0 for j.
10, 460
Determine y, given that 2*y**2/11 + 2678*y/11 + 603848/11 = 0.
-1052, -287
Suppose f**2/5 - 13478*f + 134776/5 = 0. Calculate f.
2, 67388
Factor 5*i**4 - 70*i**3 - 915*i**2 + 4340*i + 39200.
5*(i - 20)*(i - 8)*(i + 7)**2
Factor 3*b**2/7 - 237*b/7 - 10656/7.
3*(b - 111)*(b + 32)/7
Factor -6*u**2/7 - 4080096*u/7 + 4080102/7.
-6*(u - 1)*(u + 680017)/7
Let 5*a**2 - 129885*a - 259790 = 0. Calculate a.
-2, 25979
Solve -3*t**3 + 660*t**2 + 2169*t - 36126 = 0.
-9, 6, 223
Suppose s**3/5 - 11073*s**2/5 - 22158*s/5 + 17720 = 0. What is s?
-4, 2, 11075
Suppose 16*s**2 - 102092*s + 76560 = 0. What is s?
3/4, 6380
Solve 3*o**3/2 - 25821*o**2/2 + 12906*o + 25818 = 0 for o.
-1, 2, 8606
Factor 2*x**2/5 - 1566*x/5 + 6232/5.
2*(x - 779)*(x - 4)/5
What is u in 2*u**3 - 90*u**2 + 894*u + 986 = 0?
-1, 17, 29
Factor 2*g**2 + 430*g + 21600.
2*(g + 80)*(g + 135)
Suppose 2*p**3/9 + 1274*p**2/9 + 184592*p/9 - 661344 = 0. Calculate p.
-332, 27
Factor -3*y**3/2 + 102753*y**2/2 - 440001180*y + 1319541192.
-3*(y - 17124)**2*(y - 3)/2
