at -2*f**5 + 532*f**4 - 3136*f**3 + 4160*f**2 = 0.
0, 2, 4, 260
Factor v**4 + 50156*v**3 - 50158*v**2 - 50156*v + 50157.
(v - 1)**2*(v + 1)*(v + 50157)
Suppose 4*r**2 + 48*r - 1300 = 0. What is r?
-25, 13
Suppose f**2/3 + 55085*f/3 - 18362 = 0. Calculate f.
-55086, 1
Suppose -1893093512*b**2 - 123064*b - 2 = 0. What is b?
-1/30766
Factor -2*v**2/3 - 6808*v/3 - 47558/3.
-2*(v + 7)*(v + 3397)/3
Find a such that -2*a**5/3 - 620*a**4/3 - 12332*a**3 - 652792*a**2/3 - 1058890*a/3 + 583100 = 0.
-238, -35, -3, 1
Suppose -5*z**3 - 375*z**2 + 5405*z + 98175 = 0. Calculate z.
-85, -11, 21
Find r such that -3*r**2 - 741342*r - 45798996747 = 0.
-123557
Suppose -z**5 + 55*z**4 - 727*z**3 - 783*z**2 = 0. What is z?
-1, 0, 27, 29
Solve g**2/2 + 83613*g/2 = 0.
-83613, 0
Find s, given that 2*s**2/25 - 190848*s/25 + 4552869888/25 = 0.
47712
Solve 56*h**5/9 + 776*h**4/3 + 434*h**3/3 - 416*h**2/9 - 82*h/3 = 0.
-41, -1/2, 0, 3/7
Factor 5*m**2 - 1129280*m.
5*m*(m - 225856)
Factor v**2 - 1558*v - 10955.
(v - 1565)*(v + 7)
Find o, given that 3*o**2/2 - 435*o + 18564 = 0.
52, 238
Factor -5*n**3 + 5180*n**2 - 10340*n.
-5*n*(n - 1034)*(n - 2)
Find g such that -72*g**3/5 - 230*g**2 - 1048*g/5 + 6 = 0.
-15, -1, 1/36
Determine z, given that 3*z**2/2 + 2874*z + 1376646 = 0.
-958
Factor 3*x**3/4 - 282723*x**2/4 - 282732*x - 282735.
3*(x - 94245)*(x + 2)**2/4
Let -5*k**3/6 + 131*k**2/6 - 71*k/3 - 100/3 = 0. What is k?
-4/5, 2, 25
Factor -12*b**3 + 12052*b**2 - 48160*b/3 + 16048/3.
-4*(b - 1003)*(3*b - 2)**2/3
Factor -5*w**3 - 2495*w**2 + 45*w + 22455.
-5*(w - 3)*(w + 3)*(w + 499)
What is d in -9*d**5 - 7035*d**4 - 1373527*d**3 + 502483*d**2 + 8598872*d + 7338288 = 0?
-391, -4/3, 3
Let 2*c**3 + 524*c**2 - 22054*c + 21528 = 0. Calculate c.
-299, 1, 36
Factor 2*h**2/11 - 2902*h/11 + 25956/11.
2*(h - 1442)*(h - 9)/11
Solve 4*n**3 + 20536*n**2 - 350268*n = 0 for n.
-5151, 0, 17
Factor -1365*s**3/2 + 106445*s**2/6 - 691405*s/6 - 4225/6.
-5*(s - 13)**2*(819*s + 5)/6
Factor -5*w**2 - 102850*w.
-5*w*(w + 20570)
Factor 3*m**3 - 1314*m**2 + 3921*m - 2610.
3*(m - 435)*(m - 2)*(m - 1)
Determine b, given that -100*b**5/7 - 3320*b**4/7 - 33981*b**3/7 - 99405*b**2/7 = 0.
-141/10, -5, 0
Find q such that q**4/3 + 264*q**3 + 54071*q**2 + 2118494*q/3 = 0.
-389, -14, 0
Solve 17204*y**2 - 3084*y - 8 = 0.
-1/391, 2/11
Factor -5*h**2 + 5015*h - 15000.
-5*(h - 1000)*(h - 3)
Factor -3*u**3/4 + 5691*u**2/2 - 101466*u.
-3*u*(u - 3758)*(u - 36)/4
What is v in v**3/5 + 3921*v**2/5 + 773007*v + 8408455 = 0?
-1955, -11
What is y in 304*y**4/7 - 1972*y**3/7 - 3504*y**2/7 - 1388*y/7 - 160/7 = 0?
-1, -5/19, -1/4, 8
Suppose -t**4/5 - 278*t**3 + 230151*t**2/5 - 9141128*t/5 + 8912368/5 = 0. Calculate t.
-1543, 1, 76
Factor r**2/4 + 4943*r/2 + 29649/4.
(r + 3)*(r + 9883)/4
Find s such that -2*s**4/7 + 4*s**3 + 1440*s**2/7 + 13568*s/7 + 38912/7 = 0.
-8, 38
Factor 5*k**4 + 1285*k**3 + 6340*k**2 + 10100*k + 5040.
5*(k + 1)*(k + 2)**2*(k + 252)
What is q in 4*q**5 - 76*q**4 + 264*q**3 + 304*q**2 - 1120*q = 0?
-2, 0, 2, 5, 14
Determine j, given that -2*j**3 - 2864*j**2 + 17246*j - 14380 = 0.
-1438, 1, 5
Factor 173056*z**3 + 53475968*z**2 + 514180*z + 1236.
4*(z + 309)*(208*z + 1)**2
Factor -k**4/3 + 394*k**3 - 1181*k**2/3.
-k**2*(k - 1181)*(k - 1)/3
Factor -p**4/8 - 30*p**3 - 1533*p**2/2 - 5194*p.
-p*(p + 14)**2*(p + 212)/8
Suppose 5*j**3/2 + 137435*j**2 + 3777675845*j/2 = 0. What is j?
-27487, 0
Factor -3*v**2 - 3225*v + 6462.
-3*(v - 2)*(v + 1077)
Factor -5*u**4/4 + 27*u**3 - 391*u**2/4.
-u**2*(u - 17)*(5*u - 23)/4
Factor -o**3/2 - 10*o**2 + 26*o + 88.
-(o - 4)*(o + 2)*(o + 22)/2
Suppose 3*y**2 - 52182*y + 208680 = 0. What is y?
4, 17390
Determine o so that -2*o**2 - 432*o - 8536 = 0.
-194, -22
Factor -2*h**4/5 - 614*h**3/5 - 12012*h**2/5.
-2*h**2*(h + 21)*(h + 286)/5
Factor 3*s**2 + 810894*s + 54795756603.
3*(s + 135149)**2
Solve 62*h**3 + 696*h**2 - 1382*h + 624 = 0.
-13, 24/31, 1
What is d in 2*d**3 + 162*d**2 - 2232*d = 0?
-93, 0, 12
Determine r, given that -r**5/2 + 54*r**4 - 769*r**3/2 - 1539*r**2 - 1100*r = 0.
-2, -1, 0, 11, 100
Suppose 2*l**4/3 - 98*l**3 + 1136*l**2/3 + 392*l - 4576/3 = 0. Calculate l.
-2, 2, 4, 143
Let -u**4 + 12634*u**3 - 40106121*u**2 + 1273709344*u - 10163865856 = 0. What is u?
16, 6301
Factor 3*f**2 + 89385*f - 178782.
3*(f - 2)*(f + 29797)
Solve 3*s**5 - 6717*s**4 - 26898*s**3 - 40362*s**2 - 26913*s - 6729 = 0 for s.
-1, 2243
Determine d so that -d**5/5 - 113*d**4/2 + 14361*d**3/10 - 6473*d**2/10 - 14359*d/10 + 3519/5 = 0.
-306, -1, 1/2, 1, 23
Find y, given that y**5/2 - y**4/2 - 69*y**3 - 322*y**2 + 76*y + 1680 = 0.
-6, -5, -4, 2, 14
Suppose 5*c**5 - 70*c**3 + 60*c**2 + 65*c - 60 = 0. What is c?
-4, -1, 1, 3
Factor -2*v**2 - 7134*v.
-2*v*(v + 3567)
Factor 4*j**3/7 - 12*j**2 - 85408*j/7.
4*j*(j - 157)*(j + 136)/7
Determine r, given that -r**5/4 - 348*r**4 + 87003*r**3/4 - 84913*r**2/2 + 21054*r = 0.
-1452, 0, 1, 58
Find t such that 2*t**2/9 - 14612*t/9 + 26688818/9 = 0.
3653
Factor 5*l**2/4 + 90*l - 8960.
5*(l - 56)*(l + 128)/4
Let 6*p**4 - 406*p**3 - 1418*p**2 - 154*p + 852 = 0. What is p?
-3, -1, 2/3, 71
Let 3*y**3 + 195*y**2 - 624*y - 816 = 0. What is y?
-68, -1, 4
Factor -k**4 - 161*k**3 - 8507*k**2 - 148003*k.
-k*(k + 47)**2*(k + 67)
Find j such that j**3/3 + 6285*j**2 + 100496*j + 1205696/3 = 0.
-18839, -8
Determine i, given that -5*i**5 + 2140*i**4 + 100700*i**3 + 1466240*i**2 + 7450560*i + 12234240 = 0.
-18, -4, 472
Find o such that -o**2/3 + 2699*o/3 - 7176 = 0.
8, 2691
Let -5*i**5 + 140*i**4 - 755*i**3 + 360*i**2 + 1260*i = 0. What is i?
-1, 0, 2, 6, 21
Let 4*h**3 - 1352*h**2 - 161308*h - 4187344 = 0. Calculate h.
-49, 436
Determine n, given that -1105*n**3/4 + 11654*n**2 - 8649*n/4 - 63/2 = 0.
-3/221, 1/5, 42
Factor 128*f**2 + 980*f + 588.
4*(f + 7)*(32*f + 21)
What is z in -4*z**2 - 4661056*z - 1357840189696 = 0?
-582632
Suppose 3*s**4 + 83241*s**3 + 499374*s**2 + 998700*s + 665784 = 0. Calculate s.
-27741, -2
Factor 4*c**3 - 42263*c**2 - 221986*c - 52855.
(c - 10571)*(c + 5)*(4*c + 1)
Factor -11*a**2/3 - 3720*a - 2028.
-(a + 1014)*(11*a + 6)/3
Find y, given that y**5/2 - 180905*y**4/2 - 90453*y**3 = 0.
-1, 0, 180906
Determine q, given that q**5 + 24*q**4 + 116*q**3 + 144*q**2 = 0.
-18, -4, -2, 0
Factor -3*p**2 + 2925*p + 2928.
-3*(p - 976)*(p + 1)
Let -2*o**4 - 456*o**3 - 34492*o**2 - 853800*o + 888750 = 0. Calculate o.
-79, -75, 1
Factor k**2/3 + 26*k - 465.
(k - 15)*(k + 93)/3
Suppose 5*a**2 + 11865*a + 432160 = 0. Calculate a.
-2336, -37
Suppose j**2 - 1898*j + 22632 = 0. What is j?
12, 1886
Factor 3*g**2 + 1401*g + 100056.
3*(g + 88)*(g + 379)
Solve -4*j**4 - 500*j**3 + 74484*j**2 + 150452*j + 75472 = 0 for j.
-212, -1, 89
What is y in y**2 - 2034*y = 0?
0, 2034
Suppose -2*z**2/5 - 677572*z/5 = 0. What is z?
-338786, 0
Suppose -6*a**5/7 - 27934*a**4/7 - 32199444*a**3/7 + 729501596*a**2/7 - 4211477094*a/7 + 1323962882/7 = 0. What is a?
-2339, 1/3, 11
What is c in c**2 + 953*c + 2850 = 0?
-950, -3
Find f, given that -2*f**5 - 130*f**4 - 1886*f**3 - 1630*f**2 + 1888*f + 1760 = 0.
-44, -20, -1, 1
Suppose -4*d**5/3 + 272*d**4/3 + d**3 - 205*d**2/3 + 68*d/3 = 0. What is d?
-1, 0, 1/2, 68
Factor 5*z**3 - 1210*z**2 + 10435*z + 11650.
5*(z - 233)*(z - 10)*(z + 1)
Let 4*k**2/5 + 71704*k/5 = 0. Calculate k.
-17926, 0
What is n in 7*n**4 - 414*n**3 + 465*n**2 - 58*n = 0?
0, 1/7, 1, 58
Suppose x**4/5 + 97*x**3 + 51281*x**2/5 - 1844489*x/5 + 9114762/5 = 0. What is x?
-257, 6, 23
Factor -h**3 + 1069*h**2 + 8609*h + 7539.
-(h - 1077)*(h + 1)*(h + 7)
What is g in 4*g**3 + 1892*g**2 + 250172*g + 6056284 = 0?
-221, -31
Factor 2*x**4/7 + 146*x**3/7 + 908*x**2/7 - 1056*x/7.
2*x*(x - 1)*(x + 8)*(x + 66)/7
Let y**2/3 + 2507*y/3 + 2506/3 = 0. What is y?
-2506, -1
Factor -96123*h**3/5 - 1912078*h**2/5 - 1767872*h + 1354240.
-(3*h - 2)*(179*h + 1840)**2/5
Factor -2*o**2 - 2256*o - 28990.
-2*(o + 13)*(o + 1115)
Solve 5*m**4 - 3920*m**3 + 50355*m**2 - 185220*m + 138780 = 0 for m.
1, 6, 771
Factor 12*y**2/7 - 143846*y/7 + 23974/7.
2*(y - 11987)*(6*y - 1)/7
Determine f, given that 242*f**3/7 - 858*f**2/7 + 414*f/7 - 54/7 = 0.
3/11, 3
Solve -3*t**5/5 + 189*t**4/5 - 2799*t**3/5 - 573*t**2/5 + 8802*t/5 - 5616/5 = 0.
-2, 1, 24, 39
Find x such that -4*x**4 + 412*x**3 - 12900*x**2 + 116100*x - 243000 