, 159931
Factor -5*w**4 + 460*w**3 - 885*w**2 - 1350*w.
-5*w*(w - 90)*(w - 3)*(w + 1)
Factor -w**2 - 379420*w - 35989884100.
-(w + 189710)**2
Determine o so that 5*o**5/3 + 155*o**4 + 120*o**3 - 9200*o**2/3 = 0.
-92, -5, 0, 4
Let -5*c**5/2 + 67*c**4/2 - 201*c**3/2 - 175*c**2/2 + 49*c = 0. What is c?
-1, 0, 2/5, 7
Suppose -15*u**4 + 675805*u**3 - 7611760665*u**2 - 2537328645*u = 0. Calculate u.
-1/3, 0, 22527
Factor z**2 + 13855*z - 13856.
(z - 1)*(z + 13856)
Let -4*x**4/3 + 43780*x**3/3 = 0. What is x?
0, 10945
Solve -4*z**2 + 5504*z - 54640 = 0 for z.
10, 1366
Factor d**3 + 27*d**2/2 + 17*d - 399/2.
(d - 3)*(d + 7)*(2*d + 19)/2
Let w**3/7 + 176*w**2/7 + 3604*w/7 - 404496/7 = 0. Calculate w.
-106, 36
Factor -2*p**2 - 26010*p - 52012.
-2*(p + 2)*(p + 13003)
Factor -3*p**3/7 - 117*p**2/7 + 120*p/7.
-3*p*(p - 1)*(p + 40)/7
Find s, given that -5*s**5 - 5120*s**4 + 41500*s**3 + 227280*s**2 + 247680*s = 0.
-1032, -2, 0, 12
Find f, given that 2*f**4/13 + 218*f**3 + 181162*f**2/13 + 353830*f/13 + 13500 = 0.
-1350, -65, -1
Let 5*s**5 - 585*s**4 - 29870*s**3 - 85440*s**2 - 56160*s = 0. Calculate s.
-36, -2, -1, 0, 156
Determine f so that f**3 - 141*f**2 + 4170*f + 4312 = 0.
-1, 44, 98
Factor -d**2/6 - 171926*d/3 - 14779274738/3.
-(d + 171926)**2/6
Find t, given that -5*t**3/3 - 2895*t**2 - 431200*t - 50464000/3 = 0.
-1577, -80
Let 4*u**4 - 156*u**3 - 2300*u**2 + 5052*u - 2600 = 0. What is u?
-13, 1, 50
Suppose -n**4 + 41*n**3 - 215*n**2 + 175*n = 0. What is n?
0, 1, 5, 35
Factor 2*g**2 - 624*g - 159986.
2*(g - 479)*(g + 167)
Let -n**4 + 7510*n**3 - 13895797*n**2 - 766876140*n - 10427268996 = 0. What is n?
-27, 3782
Solve 2*x**5 + 134*x**4 + 2166*x**3 - 2998*x**2 - 11968*x - 6936 = 0 for x.
-34, -1, 3
Suppose -t**2/3 - 55*t/3 - 68 = 0. What is t?
-51, -4
Suppose -v**5/3 + 896*v**4/3 - 198899*v**3/3 - 810896*v**2/3 + 66300*v + 270000 = 0. What is v?
-4, -1, 1, 450
Suppose 3*g**3 - 714858*g**2 - 2859468*g - 2859480 = 0. What is g?
-2, 238290
Suppose -26*q**5/9 + 428*q**4/3 + 4856*q**3/9 + 6604*q**2/9 + 434*q + 848/9 = 0. What is q?
-1, -8/13, 53
Factor 4*u**4 - 5848*u**3 + 205344*u**2.
4*u**2*(u - 1426)*(u - 36)
Let -u**2 + 74341*u/3 - 173446/3 = 0. What is u?
7/3, 24778
What is y in -4*y**2/7 - 1392*y/7 - 13824 = 0?
-252, -96
Factor 6*l**3/7 - 465*l**2/7 + 1200*l + 24000/7.
3*(l - 40)**2*(2*l + 5)/7
Factor 3*i**3 + 267*i**2 - 6102*i + 5832.
3*(i - 18)*(i - 1)*(i + 108)
Factor -4*y**3 - 198224*y**2 - 2455797136*y.
-4*y*(y + 24778)**2
Factor 2*a**3 + 1140*a**2 + 130200*a + 4214000.
2*(a + 70)**2*(a + 430)
Factor 3*c**4 + 11469*c**3 + 714609*c**2 + 14951223*c + 104464080.
3*(c + 21)**3*(c + 3760)
Let 25*b**4/3 + 40*b**3/3 - 220*b**2/3 + 80*b/3 = 0. What is b?
-4, 0, 2/5, 2
Let -5*x**2 - 522830*x - 13667560445 = 0. What is x?
-52283
Solve -2*r**3 - 30*r**2 + 704*r + 1512 = 0 for r.
-27, -2, 14
Determine o, given that 5*o**4 - 50*o**3 + 55*o**2 + 350*o = 0.
-2, 0, 5, 7
Factor -2*n**2 - 138928*n + 138930.
-2*(n - 1)*(n + 69465)
Suppose 34*v**5 - 412*v**4 - 1278*v**3 + 12464*v**2 - 12056*v + 1248 = 0. Calculate v.
-6, 2/17, 1, 4, 13
Determine r, given that r**4/5 - 43*r**3/5 + 74*r**2/5 + 1768*r/5 + 576 = 0.
-4, -2, 9, 40
Factor -5*r**2 + 135980*r.
-5*r*(r - 27196)
Factor 90*h**4/13 - 1856*h**3/13 + 10120*h**2/13 - 5600*h/13.
2*h*(h - 10)**2*(45*h - 28)/13
Factor -2*s**2/5 - 2004*s/5 - 24362.
-2*(s + 65)*(s + 937)/5
Solve q**5 - 232*q**4 + 3502*q**3 - 9792*q**2 - 31023*q - 17496 = 0 for q.
-1, 9, 216
Factor -2*o**3/9 + 8806*o**2/3 - 9697606*o + 29066406.
-2*(o - 6603)**2*(o - 3)/9
Factor -3*g**4 + 768*g**3 + 6291*g**2 + 11880*g.
-3*g*(g - 264)*(g + 3)*(g + 5)
Find h, given that 54*h**4 - 3330*h**3 - 23289*h**2/2 - 3603*h - 585/2 = 0.
-3, -1/6, 65
Factor w**2/3 + 122672*w/3.
w*(w + 122672)/3
Find w such that -w**2 - 5737*w + 441788 = 0.
-5813, 76
Factor -2*d**4/13 + 508692*d**3/13 - 32345943858*d**2/13.
-2*d**2*(d - 127173)**2/13
Factor 5*n**4 - 3675*n**3 + 3660*n**2 + 7340*n.
5*n*(n - 734)*(n - 2)*(n + 1)
Factor 2*r**5/5 - 2702*r**4/5 + 243540*r**3 - 36693000*r**2 + 36450000*r.
2*r*(r - 450)**3*(r - 1)/5
Find m, given that 70*m**4 - 10575*m**3 - 10025*m**2 + 22050*m - 1520 = 0.
-2, 1/14, 1, 152
Determine c, given that -c**3/9 - 244*c**2/9 + 1028*c + 12880 = 0.
-276, -10, 42
What is x in x**3 - 2455*x**2 + 4891*x + 36795 = 0?
-3, 5, 2453
Solve -3*b**5 + 192*b**4 + 2445*b**3 - 182334*b**2 - 2354100*b + 5415000 = 0.
-19, 2, 50
Factor -3*s**2 - 5382*s + 21576.
-3*(s - 4)*(s + 1798)
Suppose 3*d**4/5 - 519*d**3 + 741177*d**2/5 - 67829481*d/5 - 591412104/5 = 0. What is d?
-8, 291
Let -4*m**5 + 8*m**4 + 224*m**3 - 768*m**2 = 0. Calculate m.
-8, 0, 4, 6
Solve i**3/5 - 147*i**2/5 + 4994*i/5 - 9408/5 = 0 for i.
2, 49, 96
What is g in 5*g**4 + 565*g**3 - 95*g**2 - 10585*g + 16950 = 0?
-113, -5, 2, 3
Factor 2*g**3/3 - 1444*g**2/3 + 15590*g/3 + 12324.
2*(g - 711)*(g - 13)*(g + 2)/3
Determine y so that -3*y**2/8 - 63*y + 2511/2 = 0.
-186, 18
Factor -2*m**3/9 + 452*m**2/9 - 898*m/9 + 448/9.
-2*(m - 224)*(m - 1)**2/9
Suppose -5*i**2 - 1380*i - 30240 = 0. What is i?
-252, -24
Factor -2*u**3/13 + 8*u**2 - 194*u/13 - 300/13.
-2*(u - 50)*(u - 3)*(u + 1)/13
Let 2*u**3 + 868*u**2 + 11808*u + 20160 = 0. Calculate u.
-420, -12, -2
Factor 2*w**5/9 - 3842*w**4/9 + 820480*w**3/3 - 526745600*w**2/9 + 524288000*w/9.
2*w*(w - 640)**3*(w - 1)/9
Factor 2*j**4/3 + 3008*j**3 + 943544*j**2 + 230368160*j/3.
2*j*(j + 166)**2*(j + 4180)/3
Solve 2*x**5 - 8*x**4 - 90*x**3 + 216*x**2 + 1080*x = 0 for x.
-5, -3, 0, 6
Solve -30*w**4/11 - 662*w**3 - 26728*w**2/11 + 872*w + 7648/11 = 0 for w.
-239, -4, -2/5, 2/3
Let g**2/6 + 96821*g/6 = 0. What is g?
-96821, 0
Solve 3*a**5/5 - 113*a**4/5 - 116*a**3 + 260*a**2 + 5472*a/5 - 4032/5 = 0.
-4, 2/3, 3, 42
Let -l**2/3 - 14434*l/3 - 28864/3 = 0. What is l?
-14432, -2
Solve 2*h**5/13 - 232*h**4/13 + 8362*h**3/13 - 83948*h**2/13 - 193920*h/13 - 101376/13 = 0 for h.
-1, 22, 48
Find g, given that 10*g**5/7 + 3134*g**4/7 - 2046*g**3/7 - 51134*g**2/7 - 83644*g/7 - 37680/7 = 0.
-314, -12/5, -1, 5
What is v in 2*v**3/11 + 21394*v**2/11 - 128418*v/11 + 17514 = 0?
-10703, 3
Factor w**4/3 - 923*w**3 + 2762*w**2/3 + 5536*w.
w*(w - 2768)*(w - 3)*(w + 2)/3
Factor 36*d**3 + 33128*d**2 + 7360*d.
4*d*(d + 920)*(9*d + 2)
Factor 1875*c**3 + 2247525*c**2/2 + 168097662*c - 84330006.
3*(2*c - 1)*(25*c + 7498)**2/2
Factor -m**2/10 + 318*m/5 - 25474/5.
-(m - 542)*(m - 94)/10
Factor 3*v**2/7 - 69*v/7 - 522/7.
3*(v - 29)*(v + 6)/7
Determine x, given that 4*x**3/3 + 245*x**2/3 - 4867*x/3 - 1232/3 = 0.
-77, -1/4, 16
Factor -k**2/6 - 59295*k/2 - 177883/3.
-(k + 2)*(k + 177883)/6
Factor -n**3 - 1001*n**2 - 252984*n - 1240020.
-(n + 5)*(n + 498)**2
Find h such that 5*h**3 - 715*h**2 - 83845*h - 1891125 = 0.
-41, 225
What is z in -2*z**2 + 58336*z - 425386112 = 0?
14584
Factor 2*i**3 - 80*i**2 + 538*i + 620.
2*(i - 31)*(i - 10)*(i + 1)
Suppose j**3/6 - 129*j**2 - 10231*j/6 = 0. Calculate j.
-13, 0, 787
Factor 4*z**5/3 + 220*z**4/3 + 3500*z**3/3 + 12500*z**2/3.
4*z**2*(z + 5)*(z + 25)**2/3
Suppose 3*f**2 - 2712*f + 40005 = 0. Calculate f.
15, 889
Determine m, given that -m**2/12 + 169*m/4 - 30301/6 = 0.
193, 314
Factor -3*g**2/8 + 2151*g/4 - 163215/8.
-3*(g - 1395)*(g - 39)/8
Factor 2*m**2/3 + 784316*m/3 + 76893948482/3.
2*(m + 196079)**2/3
Factor 2*t**5/7 - 2420*t**4/7 + 4834*t**3/7 - 2416*t**2/7.
2*t**2*(t - 1208)*(t - 1)**2/7
Factor 2*l**3/7 - 80664*l**2/7 - 80666*l/7.
2*l*(l - 40333)*(l + 1)/7
Determine x, given that 2*x**2 + 110*x - 732 = 0.
-61, 6
Find s, given that 8*s**4 + 1332*s**3 + 60636*s**2 + 418700*s - 224676 = 0.
-79, -9, 1/2
Factor 3*a**2 + 441*a - 147360.
3*(a - 160)*(a + 307)
Find o, given that -4*o**2 + 7140*o - 14264 = 0.
2, 1783
Factor i**3 + 110*i**2 - 7623*i - 862488.
(i - 88)*(i + 99)**2
Suppose -h**2 - 5742*h - 5741 = 0. Calculate h.
-5741, -1
Find l such that -2*l**2/11 - 381236*l/11 - 18167610962/11 = 0.
-95309
Determine u, given that -u**3/4 - 4703*u**2/2 - 169001*u/4 - 39899 = 0.
-9388, -17, -1
Determine u so that 4*u**5 - 192*u**4 - 3844*u**3 + 4032*u**2 = 0.
-16, 0, 1, 63
Factor -2*o**2/11 - 390200*o/11 - 19032005000/11.
-2*(o + 97550)**2/11
Determine v so that 2*v**5 + 36*v**4 - 3142*v**3 - 12912*v**2 - 16264*v - 6528 = 0.
-48, -2, -1, 34
Factor -25*v**2 + 20196