-4*u**3 - 216*u**2 + 444*u - 224.
-4*(u - 1)**2*(u + 56)
Factor j**2/3 - 98*j/3 - 12728/3.
(j - 172)*(j + 74)/3
Factor -d**2/3 + 169*d/3 - 2328.
-(d - 97)*(d - 72)/3
Let o**2 - 1116*o + 3339 = 0. What is o?
3, 1113
Let 11393*g**3/4 - 45573*g**2/2 + 45576*g - 8 = 0. What is g?
2/11393, 4
Let -4*v**4/7 - 288*v**3/7 + 26616*v**2/7 - 540800*v/7 + 2947500/7 = 0. What is v?
-131, 9, 25
Factor -3*w**2 + 1476*w + 19695.
-3*(w - 505)*(w + 13)
Factor 3*r**2/4 + 168051*r/4 - 168057/2.
3*(r - 2)*(r + 56019)/4
Find k, given that 30*k**5/11 + 318*k**4 - 8664*k**3/11 - 11136*k**2/11 + 34176*k/11 - 11424/11 = 0.
-119, -2, 2/5, 2
Factor 2*k**2/9 - 14314*k/9 - 28636/9.
2*(k - 7159)*(k + 2)/9
Factor -a**4 - 343*a**3 - 4007*a**2 - 11585*a.
-a*(a + 5)*(a + 7)*(a + 331)
Factor -4*f**4 + 156*f**3 - 1780*f**2 + 3876*f + 16184.
-4*(f - 17)**2*(f - 7)*(f + 2)
Factor 2*h**3/15 + 100486*h**2/5 + 757297666*h - 2271953290/3.
2*(h - 1)*(h + 75365)**2/15
Factor g**3/5 - 31912*g**2/5 + 159529*g/5 + 191442/5.
(g - 31907)*(g - 6)*(g + 1)/5
Factor -2*r**4 + 1151*r**3 - 6249*r**2 - 11970*r.
-r*(r - 570)*(r - 7)*(2*r + 3)
Determine j so that 4*j**2/9 - 325355*j/9 - 27113/3 = 0.
-1/4, 81339
Factor 2*m**2/5 + 190616*m/5 - 190618/5.
2*(m - 1)*(m + 95309)/5
Factor 3*c**3 - 2292*c**2 - 4596*c.
3*c*(c - 766)*(c + 2)
Let 2*f**3 - 680*f**2 + 53272*f - 103840 = 0. What is f?
2, 118, 220
Find a such that -5*a**2 - 670*a + 2760 = 0.
-138, 4
Solve 2*b**4/9 + 14980*b**3/9 + 28050050*b**2/9 = 0 for b.
-3745, 0
Factor p**5/3 - 1046*p**4/3 + 121101*p**3 - 41408150*p**2/3 - 170397500*p/3 - 42875000.
(p - 350)**3*(p + 1)*(p + 3)/3
Suppose s**5/2 - 106*s**4 + 407*s**3 + 1862*s**2 + 4153*s/2 + 728 = 0. Calculate s.
-1, 7, 208
Factor o**2/4 + 103*o + 4411/4.
(o + 11)*(o + 401)/4
Factor 672944871483*u**2 + 2841714*u + 3.
3*(473619*u + 1)**2
What is x in -2*x**2/5 + 84*x/5 + 1296/5 = 0?
-12, 54
Factor x**4/4 - 9633*x**3/4 - 135450*x**2 - 1899044*x.
x*(x - 9689)*(x + 28)**2/4
Solve 5*h**3/3 + 1955*h**2/3 + 41015*h/3 + 52275 = 0 for h.
-369, -17, -5
Find j such that -2*j**4/3 + 182*j**3/3 + 3140*j**2 + 94400*j/3 - 104000/3 = 0.
-20, 1, 130
Determine v so that -v**5/3 + 32*v**4/3 - 305*v**3/3 + 1210*v**2/3 - 708*v + 456 = 0.
2, 3, 6, 19
Suppose -2*k**4/5 - 168*k**3/5 + 284*k**2/5 + 1992*k + 4590 = 0. What is k?
-85, -5, -3, 9
Let -4*b**4 - 588*b**3 - 1160*b**2 = 0. Calculate b.
-145, -2, 0
Factor -3*x**3 - 13860*x**2 + 55479*x - 41616.
-3*(x - 3)*(x - 1)*(x + 4624)
Suppose -p**3/4 - 582563*p**2/4 - 84845203523*p/4 - 84844620961/4 = 0. Calculate p.
-291281, -1
Determine p so that -3*p**5/5 - 342*p**4/5 - 1737*p**3 - 83922*p**2/5 - 315072*p/5 - 71712 = 0.
-83, -12, -5, -2
What is p in 2*p**4/11 + 8*p**3 + 44*p**2 - 1240*p/11 + 666/11 = 0?
-37, -9, 1
Factor s**3 - 10926*s**2 - 54651*s - 43724.
(s - 10931)*(s + 1)*(s + 4)
Factor v**4/4 + 1073*v**3/4 - 1079*v**2/2 - 2150*v.
v*(v - 4)*(v + 2)*(v + 1075)/4
Solve -10735*w**4 - 225425*w**3 + 210*w**2 = 0.
-21, 0, 2/2147
Factor -f**2 + 2433*f + 31798.
-(f - 2446)*(f + 13)
Factor 6438*c**2 + 289746*c/5 + 324/5.
6*(c + 9)*(5365*c + 6)/5
Solve -3*s**5 - 57*s**4 + 579*s**3 - 1779*s**2 + 2232*s - 972 = 0.
-27, 1, 2, 3
Factor 3*l**2 + 45492*l + 172460172.
3*(l + 7582)**2
Find o such that 4*o**5/9 - 76*o**4/9 - 8*o**3/3 + 424*o**2/9 + 596*o/9 + 76/3 = 0.
-1, 3, 19
Determine k, given that 75*k**2 + 574260*k + 1099248492 = 0.
-19142/5
Determine y, given that 2*y**2/9 + 27292*y/3 - 163760/9 = 0.
-40940, 2
Suppose 5*u**5 + 263*u**4 + 4730*u**3 + 30838*u**2 + 28033*u - 63869 = 0. Calculate u.
-17, -13/5, 1
Let o**3 - 344714*o**2 + 29706590732*o + 59414560328 = 0. Calculate o.
-2, 172358
Let -3*a**3/5 - 336*a**2 - 23079*a/5 - 80262/5 = 0. What is a?
-546, -7
Find d, given that -4*d**2 + 384*d + 388 = 0.
-1, 97
Factor 33*d**3 + 257*d**2 + 340*d - 84.
(d + 2)*(d + 6)*(33*d - 7)
What is y in -5*y**5 + 10875*y**4 - 129835*y**3 + 118965*y**2 = 0?
0, 1, 11, 2163
Factor -m**3 + 40*m**2 - 68*m - 304.
-(m - 38)*(m - 4)*(m + 2)
Let 40*z**4 - 4505*z**3 - 20840*z**2 + 42855*z - 17550 = 0. What is z?
-6, 5/8, 1, 117
Factor -2*u**2/7 + 78864*u/7 - 777441312/7.
-2*(u - 19716)**2/7
Factor -g**2 + 12779*g - 12778.
-(g - 12778)*(g - 1)
Factor z**5/12 + z**4/12 - z**3/6 - z**2/6 + z/12 + 1/12.
(z - 1)**2*(z + 1)**3/12
Solve -5*z**4 + 210*z**3 + 10380*z**2 - 467410*z + 1303545 = 0.
-47, 3, 43
Factor 5*u**3 - 345*u**2 - 5330*u.
5*u*(u - 82)*(u + 13)
Factor 2*n**2 - 6*n - 2376.
2*(n - 36)*(n + 33)
Let 2*c**2/5 - 210216*c/5 + 210214/5 = 0. Calculate c.
1, 105107
Let -44*d**3 - 5376*d**2 - 139356*d - 25160 = 0. Calculate d.
-85, -37, -2/11
Factor 5*k**2 + 14620*k + 434100.
5*(k + 30)*(k + 2894)
Suppose 4*d**3 - 108*d**2 - 12744*d + 79488 = 0. Calculate d.
-48, 6, 69
Find x, given that x**2 - 637*x + 32536 = 0.
56, 581
Solve -u**3 + 1181*u**2 - 106464*u + 2499840 = 0 for u.
48, 1085
Factor -l**2/4 + 19193*l/4 - 134253/2.
-(l - 19179)*(l - 14)/4
Factor -2*c**2/9 + 730*c/9 + 11396/3.
-2*(c - 407)*(c + 42)/9
Determine t, given that 3*t**3/10 + 2971*t**2/10 + 494*t/5 - 198 = 0.
-990, -1, 2/3
What is v in v**2 - 43204*v - 86412 = 0?
-2, 43206
Factor -12*h**3/7 - 57*h**2/7 - 72*h/7 - 27/7.
-3*(h + 1)*(h + 3)*(4*h + 3)/7
Determine p, given that p**2/5 - 412*p/5 + 7467/5 = 0.
19, 393
Find b, given that 4*b**4 + 3060*b**3 - 12348*b**2 - 33860*b - 18456 = 0.
-769, -1, 6
Factor v**2 + 17298*v - 34600.
(v - 2)*(v + 17300)
Let -3*x**4/7 + 123*x**3 - 56145*x**2/7 + 109719*x/7 - 7776 = 0. Calculate x.
1, 96, 189
Factor -2*p**3 - 10614*p**2 + 2340090*p - 126419858.
-2*(p - 107)**2*(p + 5521)
Solve -i**4 + 24177*i**3 - 146143890*i**2 + 145394464*i + 4383592320 = 0.
-5, 6, 12088
Solve -z**4/4 - 289*z**3/2 - 82941*z**2/4 + 41905*z - 21025 = 0.
-290, 1
Let -31*i**2/6 + 30*i - 125/6 = 0. What is i?
25/31, 5
Find y, given that -5*y**3 - 105*y**2 - 720*y - 1620 = 0.
-9, -6
Determine x so that -2*x**3/7 + 272*x**2/7 + 10578*x/7 + 4176 = 0.
-29, -3, 168
Find g, given that g**5 + 75*g**4/4 + 297*g**3/4 - 475*g**2/4 + 99*g/4 = 0.
-11, -9, 0, 1/4, 1
Find c, given that 2*c**4 + 2104*c**3 + 559626*c**2 + 3299084*c + 4376464 = 0.
-523, -4, -2
Find o such that -4*o**3 - 404*o**2 - 3036*o - 5580 = 0.
-93, -5, -3
Suppose -w**4 + 321*w**3 - 3135*w**2 + 7775*w = 0. Calculate w.
0, 5, 311
Factor -2*f**3 - 131138*f**2 - 2149581310*f + 2149712450.
-2*(f - 1)*(f + 32785)**2
Find u such that 9*u**5 + 163*u**4/2 - 369*u**3/2 + 177*u**2/2 + 11*u/2 = 0.
-11, -1/18, 0, 1
Factor -5*k**4 + 286510*k**3 - 4104399005*k**2.
-5*k**2*(k - 28651)**2
Find m, given that -2*m**2/7 + 669728*m/7 - 56066949248/7 = 0.
167432
Factor v**4/4 + 7*v**3/4 - 391*v**2/4 - 4927*v/4 - 5577/2.
(v - 22)*(v + 3)*(v + 13)**2/4
Suppose 5*n**3 - 2300*n**2 + 42245*n - 154350 = 0. What is n?
5, 14, 441
Solve -5*x**2 + 19925*x + 19930 = 0 for x.
-1, 3986
Solve 4*x**3 - 20008*x**2 - 1481612*x - 1461600 = 0 for x.
-72, -1, 5075
Determine d so that 2*d**4 + 430*d**3 - 2426*d**2 - 49486*d + 51480 = 0.
-220, -9, 1, 13
Find n, given that 4*n**4 - 152*n**3 + 1196*n**2 - 2008*n - 3360 = 0.
-1, 5, 6, 28
Suppose -144*q**5 + 14064*q**4 + 4700*q**3 + 392*q**2 = 0. Calculate q.
-1/6, 0, 98
Solve -5*z**3/2 - 115*z**2 + 16740*z = 0.
-108, 0, 62
Factor 3*a**5 + 27*a**4 + 54*a**3 - 96*a**2 - 288*a.
3*a*(a - 2)*(a + 3)*(a + 4)**2
Factor 201998*j**4 - 605990*j**3 - 12*j**2.
2*j**2*(j - 3)*(100999*j + 2)
Suppose 3*h**2 + 3501*h + 20898 = 0. What is h?
-1161, -6
Factor -p**4 - 22073*p**3 - 44143*p**2 - 22071*p.
-p*(p + 1)**2*(p + 22071)
Factor -4*f**4 + 88*f**3 - 548*f**2 + 560*f + 1200.
-4*(f - 10)**2*(f - 3)*(f + 1)
Factor 22*j**4 + 136*j**3 - 47618*j**2 - 958740*j.
2*j*(j + 29)**2*(11*j - 570)
Find p such that p**4/3 + p**3 - 8*p**2 - 28*p/3 + 16 = 0.
-6, -2, 1, 4
Let -4*u**3 + 3464*u**2 + 38492*u + 84192 = 0. Calculate u.
-8, -3, 877
Suppose x**5 - 19*x**4 - 397*x**3 - 2021*x**2 - 4008*x - 2772 = 0. Calculate x.
-7, -3, -2, 33
Let 3*b**5/4 - 171*b**4/4 + 27*b**3/2 + 19551*b**2 + 19494*b = 0. What is b?
-18, -1, 0, 38
Factor -3*b**2/5 + 47229*b - 708408/5.
-3*(b - 78712)*(b - 3)/5
What is f in -f**2 + 4179*f - 62460 = 0?
15, 4164
Find m such that -2*m**3/9 - 46*m**2 - 1228*m/9 - 272/3 = 0.
-204, -2, -1
Let -2*h**5/15 + 60*h**4 - 4448*h**3/15 - 60*h**2 + 890*h/3 = 0. Calculate h.
-1, 0, 1, 5, 44