 = 0.
127230
Factor 5*s**4 - 2420*s**3 + 203385*s**2 + 23103990*s.
5*s*(s - 273)**2*(s + 62)
Suppose -5*p**2 + 28935*p - 949410 = 0. Calculate p.
33, 5754
Determine s, given that -2*s**3/7 - 4806*s**2/7 + 653000*s/7 - 648192/7 = 0.
-2532, 1, 128
Factor 2*c**2/5 + 274*c/5 - 4896/5.
2*(c - 16)*(c + 153)/5
Factor 9*k**4 + 515955*k**3 + 7394796048*k**2 + 2464874688*k.
3*k*(k + 28664)**2*(3*k + 1)
Solve -32*a**4/9 - 51760*a**3/9 - 6985414*a**2/3 - 20801122*a/9 + 41809156/9 = 0 for a.
-3233/4, -2, 1
Factor -2*h**2 + 32080*h.
-2*h*(h - 16040)
Determine h, given that 2*h**2/3 - 36686*h - 110060/3 = 0.
-1, 55030
Factor z**3/3 - 136*z**2/3 - 137*z/3.
z*(z - 137)*(z + 1)/3
Factor 8*l**2/3 + 435*l - 2184.
(l + 168)*(8*l - 39)/3
Let 2*r**2 - 389840*r + 18996903200 = 0. What is r?
97460
Solve -5*j**5 + 3025*j**4 + 299620*j**3 + 6422560*j**2 - 21410240*j + 14685040 = 0.
-46, 1, 2, 694
Determine s, given that -s**3 - 1161*s**2 - 4631*s - 3471 = 0.
-1157, -3, -1
Find l such that 99*l**3 - 14943*l**2 + 13944*l + 900 = 0.
-2/33, 1, 150
Factor -500*k**3 + 13400*k**2 - 66305*k - 333015.
-5*(k + 3)*(10*k - 149)**2
Suppose 3*u**4 + 561*u**3 + 34128*u**2 + 668736*u = 0. Calculate u.
-72, -43, 0
Solve 2*w**3/11 - 70*w**2 - 6328*w/11 + 15720/11 = 0 for w.
-10, 2, 393
Factor 4*p**2 - 66516*p - 1865584.
4*(p - 16657)*(p + 28)
Determine z so that z**3 - 450*z**2 + 443*z + 2694 = 0.
-2, 3, 449
Factor 2*g**5/5 - 1062*g**4/5 - 3198*g**3/5 - 3202*g**2/5 - 1068*g/5.
2*g*(g - 534)*(g + 1)**3/5
Factor t**2/6 + 7315*t/6 - 3658/3.
(t - 1)*(t + 7316)/6
Find v, given that v**2/2 - 5965*v + 35581225/2 = 0.
5965
Factor 10*o**3 + 78*o**2 - 1348*o - 8736.
2*(o + 6)*(o + 13)*(5*o - 56)
Factor 3*h**3 + 2274*h**2 + 11253*h - 31626.
3*(h - 2)*(h + 7)*(h + 753)
Factor c**4/5 + 66*c**3/5 + 13*c**2.
c**2*(c + 1)*(c + 65)/5
Determine p, given that -p**2/7 - 11462*p/7 = 0.
-11462, 0
Factor c**3/8 - 119*c**2/8 + 1827*c/4 - 2997.
(c - 74)*(c - 36)*(c - 9)/8
Factor 6*h**2 - 1918*h/3 + 10100/3.
2*(h - 101)*(9*h - 50)/3
Determine u so that -u**3 - 46360*u**2 + 46361*u = 0.
-46361, 0, 1
Let -u**3 + 5238*u**2 + 10480*u = 0. What is u?
-2, 0, 5240
What is j in 2*j**5/9 + 130*j**4/9 + 416*j**3/3 + 360*j**2 = 0?
-54, -6, -5, 0
Find p such that -p**5/5 + 14*p**4 - 158*p**3 + 564*p**2 - 1449*p/5 - 1026 = 0.
-1, 3, 5, 6, 57
Factor -4*x**4 - 96*x**3 - 288*x**2 + 3456*x + 15552.
-4*(x - 6)*(x + 6)**2*(x + 18)
Solve 70*f**2 - 587*f + 216 = 0.
27/70, 8
Suppose 80*p**3 + 4636*p**2 + 67048*p - 3364 = 0. What is p?
-29, 1/20
Factor 10*j**3 - 16804*j**2 + 7062720*j - 2822400.
2*(j - 840)**2*(5*j - 2)
Factor 12*a**3/5 - 61413*a**2/5 + 78566418*a/5 + 19645443/5.
3*(a - 2559)**2*(4*a + 1)/5
Factor 4*n**2/9 - 12316*n/9 - 12320/9.
4*(n - 3080)*(n + 1)/9
Determine z, given that 3*z**2 - 810*z + 807 = 0.
1, 269
Suppose 5*d**5 + 270*d**4 - 855*d**3 + 20*d**2 + 1140*d = 0. Calculate d.
-57, -1, 0, 2
Solve -4*b**4 + 2224*b**3 + 11244*b**2 - 13464*b = 0 for b.
-6, 0, 1, 561
Suppose -2*b**4 + 837*b**3 + 30495*b**2/8 - 8251*b/4 + 2115/8 = 0. Calculate b.
-5, 1/4, 423
Factor -2*n**3/11 + 1294*n**2/11 + 39208*n/11.
-2*n*(n - 676)*(n + 29)/11
Let -v**2/5 + 382*v/5 - 20097/5 = 0. Calculate v.
63, 319
Factor 2*g**2/7 - 505124*g/7 - 505126/7.
2*(g - 252563)*(g + 1)/7
Let -x**3/7 - 167*x**2/7 - 5966*x/7 - 5800/7 = 0. What is x?
-116, -50, -1
Find q, given that -4*q**2 - 1429864*q - 1429860 = 0.
-357465, -1
Let -11*r**3/3 - 1201774*r**2/3 - 32824217140*r/3 - 5967999752/3 = 0. What is r?
-54626, -2/11
Find o such that 4*o**4 - 18704*o**3 - 16*o**2 + 74816*o = 0.
-2, 0, 2, 4676
What is u in -3*u**5 + 2102*u**4/3 - 42135*u**3 + 427784*u**2/3 - 86940*u - 211600/3 = 0?
-4/9, 2, 115
Factor f**5 + 507*f**4 + 95777*f**3 + 7952985*f**2 + 239585850*f - 511758000.
(f - 2)*(f + 104)*(f + 135)**3
Determine u, given that 4*u**3/5 + 11956*u**2 - 119572*u/5 + 59788/5 = 0.
-14947, 1
Determine c so that -c**2/2 - 502*c - 10923/2 = 0.
-993, -11
Determine g, given that -12*g**4 - 220*g**3 + 752*g**2 + 1616*g - 1344 = 0.
-21, -2, 2/3, 4
Factor -3*i**3 + 486*i**2 + 1485*i.
-3*i*(i - 165)*(i + 3)
Factor 2*c**3/3 - 826*c**2/3 - 21080*c/3 + 45448/3.
2*(c - 437)*(c - 2)*(c + 26)/3
Determine u, given that -843*u**4 - 7605*u**3 - 12807*u**2 - 6171*u - 126 = 0.
-7, -1, -6/281
Determine s so that -112*s**4 + 40860*s**3 + 7412*s**2 - 40860*s - 7300 = 0.
-1, -5/28, 1, 365
Factor -2*g**3 - 27596*g**2 - 82774*g - 55180.
-2*(g + 1)*(g + 2)*(g + 13795)
Factor o**3/5 - 34*o**2/5 - 4749*o/5 - 83754/5.
(o - 94)*(o + 27)*(o + 33)/5
What is z in -14*z**5/5 - 416*z**4/5 + 1002*z**3/5 - 140*z**2 + 128*z/5 = 0?
-32, 0, 2/7, 1
Factor 2*j**2/5 + 19708*j/5 + 137858/5.
2*(j + 7)*(j + 9847)/5
Factor -50*a**3/3 - 1240*a**2/3 - 6298*a/3 + 17956/3.
-2*(a - 2)*(5*a + 67)**2/3
Let i**3 + 286*i**2 + 20549*i + 20264 = 0. What is i?
-149, -136, -1
Suppose -3*a**3/4 + 1461*a**2/2 + 2931*a/4 - 2925/2 = 0. Calculate a.
-2, 1, 975
Find g, given that -6*g**5/5 - 2108*g**4/5 - 38276*g**3/5 - 130072*g**2/5 - 153718*g/5 - 11964 = 0.
-997/3, -15, -2, -1
Factor -c**2 + 2624*c - 5244.
-(c - 2622)*(c - 2)
Find h such that -4*h**5 - 56*h**4 - 48*h**3 + 56*h**2 + 52*h = 0.
-13, -1, 0, 1
Determine l, given that -l**5 + 19*l**4 + 41*l**3 - 1319*l**2 - 3640*l + 4900 = 0.
-5, 1, 14
Factor 2*u**2/9 - 33460*u/3 + 139946450.
2*(u - 25095)**2/9
Find b, given that 2*b**5/5 - 1018*b**4/5 + 406*b**3 - 1014*b**2/5 = 0.
0, 1, 507
Factor 4*n**3/3 - 69*n**2 + 1496*n/3 + 129.
(n - 43)*(n - 9)*(4*n + 1)/3
Let 16*s**5 + 94*s**4 - 116*s**3 - 1442*s**2 - 2240*s - 992 = 0. Calculate s.
-4, -31/8, -1, 4
Solve 20*x**3/9 - 210572*x**2/3 + 554109660*x + 2328498900 = 0 for x.
-21/5, 15795
Suppose 2*g**3/9 - 12082*g**2/9 - 12088*g/9 + 8056/3 = 0. What is g?
-2, 1, 6042
Solve p**4/9 - 31*p**3/9 - 136*p**2/3 + 1472*p/9 + 17920/9 = 0.
-8, 7, 40
What is k in -3*k**5 + 399*k**4 + 16014*k**3 + 69720*k**2 = 0?
-28, -5, 0, 166
Determine j, given that 2*j**5/23 + 22228*j**4/23 - 133416*j**3/23 + 266860*j**2/23 - 222394*j/23 + 66720/23 = 0.
-11120, 1, 3
Factor 2*b**2/5 - 7994*b/5 - 152608/5.
2*(b - 4016)*(b + 19)/5
Suppose 3*r**5 + 2334*r**4 + 446880*r**3 - 2765856*r**2 + 75264*r + 14751744 = 0. What is r?
-392, -2, 4
Let 5*s**3 + 7390*s**2 - 126815*s + 388700 = 0. Calculate s.
-1495, 4, 13
Factor -4*c**5 + 12160*c**4 - 12314020*c**3 + 4145698440*c**2 + 8328387600*c + 4170362976.
-4*(c - 1014)**3*(c + 1)**2
Suppose -k**4 - 113*k**3 - 1411*k**2 - 2487*k - 1188 = 0. Calculate k.
-99, -12, -1
Suppose 2*u**3/13 - 34*u**2 - 13752*u/13 - 47808/13 = 0. What is u?
-24, -4, 249
Factor -4*c**2 - 79320*c.
-4*c*(c + 19830)
Find i, given that -4*i**5/5 + 50*i**4 - 848*i**3 + 3698*i**2 + 8632*i - 25688/5 = 0.
-2, 1/2, 13, 38
Factor 2*h**3 + 25520*h**2 + 81357736*h - 325839392.
2*(h - 4)*(h + 6382)**2
Suppose -142184*k**3 - 568730*k**2 - 568712*k + 24 = 0. Calculate k.
-2, 3/71092
Determine c so that -c**4 + 626*c**3 + 10949*c**2 - 11574*c = 0.
-18, 0, 1, 643
Solve 21*v**3 - 1959*v**2 + 3909*v/7 - 279/7 = 0 for v.
1/7, 93
What is k in -k**4/4 + 451*k**3/4 - 17604*k**2 + 1041984*k - 14183424 = 0?
19, 144
Solve -14*h**4/9 - 2776*h**3/9 - 23878*h**2/9 + 130996*h/9 + 4368 = 0.
-189, -13, -2/7, 4
Solve 2*c**5/7 - 24*c**4 - 1864*c**3/7 - 1524*c**2/7 + 266*c + 1692/7 = 0 for c.
-9, -1, 1, 94
Factor -4*s**2 - 22784*s - 32444416.
-4*(s + 2848)**2
Factor 4*i**3 + 815060*i**2/3 + 13839922564*i/3 - 4613398084/3.
4*(i + 33961)**2*(3*i - 1)/3
Factor -j**2/3 - 1049*j + 12604/3.
-(j - 4)*(j + 3151)/3
Factor 4*q**4 - 36*q**3 - 448*q**2.
4*q**2*(q - 16)*(q + 7)
Factor -3*t**2/2 - 279*t/2 + 4425.
-3*(t - 25)*(t + 118)/2
What is u in -u**3/4 - 547*u**2/4 - 4761*u/2 = 0?
-529, -18, 0
Factor 3*h**2 - 5168094*h + 2225766299403.
3*(h - 861349)**2
Find d such that d**5 - 1988*d**4 - 7968*d**3 = 0.
-4, 0, 1992
What is d in 3*d**2/4 + 409323*d/2 + 55848439443/4 = 0?
-136441
Factor -2*b**2 + 450*b/11 - 200/11.
-2*(b - 20)*(11*b - 5)/11
Find v such that -1250*v**3 + 90100*v**2 - 7202*v + 144 = 0.
1/25, 72
Find m such that 2*m**4 + 3370*m**3 + 1404362*m**2 - 12852378*m + 25826724 = 0.
-847, 3, 6
Factor 6*h**3 - 601*h**2 + 95*h + 500.
(h - 100)*(h - 1)*(6*h + 5)
Determine t so that -2*t**5/5 - 12*t**4/5 + 14*t**3 + 264*t**2/5 - 64*t = 0.
-8, -4, 0, 1, 5
Suppose -6*g**4/17 + 2024*g**