ctor -4*p**2 + 49464*p + 445500.
-4*(p - 12375)*(p + 9)
Factor q**2 + 144*q + 959.
(q + 7)*(q + 137)
Let -15*l**3/2 - 1026*l**2 + 4194*l - 4224 = 0. What is l?
-704/5, 2
Factor 150*n**2 + 9429*n - 1323.
3*(n + 63)*(50*n - 7)
Solve -4*q**4 + 152*q**3 - 416*q**2 - 152*q + 420 = 0.
-1, 1, 3, 35
Factor -2*o**3 - 3910*o**2 - 1916864*o - 5715456.
-2*(o + 3)*(o + 976)**2
Factor 2*x**3 - 194*x**2/3 - 44*x.
2*x*(x - 33)*(3*x + 2)/3
Factor 2*u**3 + 464*u**2 - 52126*u + 51660.
2*(u - 82)*(u - 1)*(u + 315)
Factor -4*c**2/7 + 127592*c/7.
-4*c*(c - 31898)/7
Solve 2*x**4 + 660*x**3 - 29114*x**2 + 179028*x - 293040 = 0.
-370, 3, 4, 33
Determine j so that 3*j**3/5 + 286539*j**2/5 + 573069*j/5 + 286533/5 = 0.
-95511, -1
Factor 4*y**3 + 9532*y**2 + 5711904*y + 39517632.
4*(y + 7)*(y + 1188)**2
Factor 2*y**3/9 - 36052*y**2/9 + 36050*y/9.
2*y*(y - 18025)*(y - 1)/9
Let -9*d**5/2 - 39*d**4 + 603*d**3/2 + 1686*d**2 - 7074*d + 2160 = 0. Calculate d.
-10, -8, 1/3, 3, 6
What is i in i**4 + 1263*i**3 + 38416*i**2 + 275712*i - 315392 = 0?
-1232, -16, 1
Factor 5*a**3 + 4040*a**2 + 824100*a + 3232080.
5*(a + 4)*(a + 402)**2
Let 3*p**5/4 + 81*p**4/2 - 9111*p**3/2 - 253620*p**2 + 2082963*p/4 - 525213/2 = 0. Calculate p.
-67, 1, 78
Find d, given that 5*d**3 + 43540*d**2 - 5*d - 43540 = 0.
-8708, -1, 1
What is p in -p**5/3 + p**4 + 11*p**3/3 - 5*p**2 - 46*p/3 - 8 = 0?
-2, -1, 3, 4
Suppose 4*u**5 + 104*u**4 + 280*u**3 + 80*u**2 - 284*u - 184 = 0. Calculate u.
-23, -2, -1, 1
Suppose -2*p**3 - 5790*p**2 - 11572*p = 0. What is p?
-2893, -2, 0
Find u, given that -5*u**4/4 + 425*u**3/2 + 12125*u**2/4 - 21125*u/2 + 7320 = 0.
-16, 1, 2, 183
Suppose 20891648*w**4/9 + 1044595328*w**3/9 + 4352642134*w**2/3 + 8080100*w/9 + 1250/9 = 0. What is w?
-25, -1/3232
Determine p, given that 4*p**4 - 18064*p**3 + 144320*p**2 - 288512*p = 0.
0, 4, 4508
Factor 784*v**4 + 15707720*v**3 + 78684176617*v**2 + 67434924930*v + 14449722849.
(4*v + 40069)**2*(7*v + 3)**2
Factor m**4/2 - 394*m**3 - 791*m**2/2 + 789*m.
m*(m - 789)*(m - 1)*(m + 2)/2
Suppose 5*t**4 - 9920*t**3 - 129630*t**2 - 349720*t + 489265 = 0. What is t?
-7, 1, 1997
Find x such that 7*x**4/8 + 47*x**3 - 115*x**2/8 - 47*x + 27/2 = 0.
-54, -1, 2/7, 1
Factor o**4/4 - 17*o**3/2 - 273*o**2 - 1910*o - 2800.
(o - 56)*(o + 2)*(o + 10)**2/4
Factor 4*z**3 - 15504*z**2 - 46540*z - 31032.
4*(z - 3879)*(z + 1)*(z + 2)
Solve -4*i**4/3 - 430*i**3/9 - 84*i**2 - 30*i + 68/9 = 0.
-34, -1, 1/6
Let 3*b**2 + 30288*b + 121104 = 0. What is b?
-10092, -4
Factor 4*o**4 + 5484*o**3 + 2679924*o**2 + 534407684*o + 33543386904.
4*(o + 114)*(o + 419)**3
Factor -2*o**3 - 123696*o**2 + 247400*o.
-2*o*(o - 2)*(o + 61850)
Suppose -2*s**5/5 + 2814*s**4/5 + 8*s**3/5 - 11256*s**2/5 = 0. What is s?
-2, 0, 2, 1407
Factor -2*m**5 - 9084*m**4 - 13734960*m**3 - 6885574976*m**2 + 41809873152*m.
-2*m*(m - 6)*(m + 1516)**3
Factor -l**3/5 + 4212*l**2/5 + 9287*l + 76014/5.
-(l - 4223)*(l + 2)*(l + 9)/5
Factor -3*y**3/7 + 96*y**2/7 + 132*y/7 - 17424/7.
-3*(y - 22)**2*(y + 12)/7
Factor a**3/7 + 3598*a**2 + 125911*a/7 + 151086/7.
(a + 2)*(a + 3)*(a + 25181)/7
Determine k so that -4*k**5 + 52*k**4 + 420*k**3 + 684*k**2 = 0.
-3, 0, 19
Find y such that -5*y**2 - 10121340*y - 5122076169780 = 0.
-1012134
Solve l**2 + 115*l - 2096 = 0 for l.
-131, 16
Factor -i**2/3 - 4739*i.
-i*(i + 14217)/3
Find v, given that -v**3/3 + 2353*v**2/3 - 1415371*v/3 + 12173121 = 0.
27, 1163
Factor -s**2/6 + 1333*s/3 - 5324/3.
-(s - 2662)*(s - 4)/6
Suppose 3*i**3/5 + 1296*i**2/5 - 3*i/5 - 1296/5 = 0. Calculate i.
-432, -1, 1
Factor 4*m**3 - 7652*m**2 - 4*m + 7652.
4*(m - 1913)*(m - 1)*(m + 1)
Factor n**2/5 + 2246*n - 33735.
(n - 15)*(n + 11245)/5
Suppose 4*x**5 + 452*x**4 - 916*x**3 + 460*x**2 = 0. Calculate x.
-115, 0, 1
Factor -r**4/4 - 93*r**3 - 42453*r**2/4 - 768337*r/2.
-r*(r + 89)**2*(r + 194)/4
Find m such that m**5/2 - 91*m**4 + 1692*m**3 - 11888*m**2 + 36544*m - 41472 = 0.
4, 8, 162
Factor f**2 + 557*f - 19470.
(f - 33)*(f + 590)
Factor -3*r**2/2 - 7611*r + 306840.
-3*(r - 40)*(r + 5114)/2
Determine j, given that -j**5/5 + 193*j**4/5 - 7872*j**3/5 + 122368*j**2/5 - 704512*j/5 + 589824/5 = 0.
1, 16, 144
Factor -x**2 - 281*x - 1650.
-(x + 6)*(x + 275)
Factor -4*t**4 + 19872*t**3 - 59592*t**2 + 59584*t - 19860.
-4*(t - 4965)*(t - 1)**3
Find g, given that -60*g**5 - 1276*g**4 - 2424*g**3 + 3112*g**2 + 1332*g - 684 = 0.
-19, -3, -3/5, 1/3, 1
Factor 2*a**2 - 3184*a + 1222232.
2*(a - 946)*(a - 646)
Solve -h**5 - 505*h**4 - 66866*h**3 - 764108*h**2 + 2767992*h - 1936512 = 0 for h.
-246, -16, 1, 2
Factor -3*b**2/5 + 2019*b/5 - 326028/5.
-3*(b - 404)*(b - 269)/5
Factor -2*l**4/21 - 24244*l**3/21 - 10492456*l**2/3 + 20998768*l/3.
-2*l*(l - 2)*(l + 6062)**2/21
Solve 2*q**3/5 - 536*q**2/5 - 994*q - 4432/5 = 0.
-8, -1, 277
Factor -v**3/4 - 355*v**2/2 - 120153*v/4 + 527076.
-(v - 16)*(v + 363)**2/4
Determine k, given that 2*k**5/11 + 2*k**4/11 - 84*k**3/11 - 212*k**2/11 + 82*k/11 + 210/11 = 0.
-5, -3, -1, 1, 7
Find a such that 2066*a**2/9 + 10342*a/9 + 20/3 = 0.
-5, -6/1033
Suppose -2*v**2/5 + 1040*v - 274968/5 = 0. Calculate v.
54, 2546
Find o, given that -5*o**2 + 33070*o - 66120 = 0.
2, 6612
Factor 2*p**2 - 137316*p + 2356960482.
2*(p - 34329)**2
Factor 2*k**2/5 + 1106*k/5 - 21736/5.
2*(k - 19)*(k + 572)/5
Solve -165*c**3 + 1318*c**2 + 5461*c + 66 = 0 for c.
-3, -2/165, 11
Solve 3*h**2 - 151440*h + 1911172800 = 0.
25240
Solve -5*y**2 + 895*y + 45100 = 0 for y.
-41, 220
Suppose -r**2/3 + 621*r - 1862/3 = 0. Calculate r.
1, 1862
Suppose 288*c**5/5 - 52536*c**4 + 18341924*c**3/5 - 3929244*c**2 + 5775688*c/5 - 100320 = 0. What is c?
1/6, 1/4, 2/3, 75, 836
Solve -2*s**3 + 156*s**2 + 5670*s = 0 for s.
-27, 0, 105
Factor -2*j**3 + 256*j**2 - 5992*j + 39200.
-2*(j - 100)*(j - 14)**2
Determine c, given that -5*c**3 + 1860*c**2 - 198900*c + 4624000 = 0.
32, 170
Determine d so that 8*d**4 + 4406*d**3 + 25130*d**2 + 32682*d - 9810 = 0.
-545, -3, 1/4
Solve -71175*z**3 + 1423510*z**2 - 7117700*z + 1000 = 0.
2/14235, 10
Determine f so that -245*f**2/6 + 43960*f - 11831520 = 0.
3768/7
Factor -j**4 + 30*j**3 + 211*j**2 + 180*j.
-j*(j - 36)*(j + 1)*(j + 5)
Suppose 2738*a**4 + 1587300*a**3 + 225240066*a**2 - 1394593200*a + 2113540128 = 0. Calculate a.
-10836/37, 3
Suppose w**3/4 + 491*w**2/4 + 489*w/2 = 0. What is w?
-489, -2, 0
Suppose 2*o**2/3 - 273908*o + 28134597174 = 0. Calculate o.
205431
Find g such that 2*g**4/9 - 24*g**3 + 634*g**2/9 - 140*g/3 = 0.
0, 1, 2, 105
Determine t, given that t**3/6 - 617*t**2/6 + 126635*t/6 - 8644075/6 = 0.
187, 215
Suppose -4*g**5 + 384*g**4 - 8284*g**3 - 9456*g**2 + 17360*g = 0. Calculate g.
-2, 0, 1, 35, 62
Solve -o**3 - 3*o**2 + 106*o + 528 = 0 for o.
-8, -6, 11
Determine y so that y**3 - 2220*y**2 - 20061*y = 0.
-9, 0, 2229
Factor 5*a**3 + 990*a**2 - 5*a - 990.
5*(a - 1)*(a + 1)*(a + 198)
Determine b, given that -3*b**2 + 3180*b - 3177 = 0.
1, 1059
Factor -c**2/7 + 479*c/7 - 29970/7.
-(c - 405)*(c - 74)/7
Determine l so that -159*l**4/2 + 2409*l**3/2 - 1125*l**2 = 0.
0, 1, 750/53
Factor -r**3/6 - 233*r**2/3 - 30341*r/6 - 14938/3.
-(r + 1)*(r + 77)*(r + 388)/6
Suppose 554*n**4/3 + 922*n**3 - 18302*n**2/3 + 5030*n - 36 = 0. What is n?
-9, 2/277, 1, 3
Factor -4*g**2/5 + 332*g/5 - 728.
-4*(g - 70)*(g - 13)/5
Factor j**3/3 + 172*j**2/3 - 9020*j/3 + 34848.
(j - 22)**2*(j + 216)/3
Find u such that 2*u**4 - 5458*u**3 - 98798*u**2 - 258158*u - 164820 = 0.
-15, -2, -1, 2747
Determine z, given that 4*z**2/3 + 14351*z/3 - 1196 = 0.
-3588, 1/4
Factor -3*h**2 - 336126*h - 9415057323.
-3*(h + 56021)**2
What is n in 2*n**3/17 + 238*n**2 - 8098*n/17 + 4050/17 = 0?
-2025, 1
Factor 30*k**2 + 129*k - 159.
3*(k - 1)*(10*k + 53)
Factor 3*h**2/7 + 4341*h/7 + 47388/7.
3*(h + 11)*(h + 1436)/7
What is z in 2*z**5 - 24*z**4 - 422*z**3 - 500*z**2 + 2352*z - 1408 = 0?
-8, -4, 1, 22
Factor -13*o**2 + 26752*o/3 + 1372/3.
-(o - 686)*(39*o + 2)/3
Suppose 2*s**5/7 + 17588*s**4/7 - 2*s**3/7 - 17588*s**2/7 = 0. Calculate s.
-8794, -1, 0, 1
Let -6*w**2/5 - 64837*w/5 - 10806/5 = 0. Calculate w.
-10806, -1/6
Find q such that -468*q**5/11 + 1970*q**4/11 + 163872*q**3/11 + 428938*q**2/11 - 95616*q/11 + 360 = 0.
-15, -3, 1/18, 2/13, 22
Suppose -2*k**2 + 872*k - 4310 = 0. What is k?
5, 431
Factor 2*u**2 + 65829*u + 98739.
(u + 32913)*(2