4/9
Let -4*n**2 + 134080*n = 0. What is n?
0, 33520
Let d**2/2 + 125186*d - 250374 = 0. What is d?
-250374, 2
Factor 2*u**3/9 - 4*u**2 - 470*u/3 + 7700/9.
2*(u - 35)*(u - 5)*(u + 22)/9
Find v such that -2*v**5/9 - 212*v**4/3 + 3262*v**3 - 35280*v**2 = 0.
-360, 0, 21
Factor -26*d**3 - 2838*d**2 + 5328*d.
-2*d*(d + 111)*(13*d - 24)
Determine j, given that -5*j**3 - 3210*j**2 + 39185*j - 35970 = 0.
-654, 1, 11
Factor s**2 - 5539*s.
s*(s - 5539)
Solve 3*i**3 - 1221*i**2 - 4932*i = 0 for i.
-4, 0, 411
Factor 3*z**2 + 299184*z.
3*z*(z + 99728)
Suppose 3*m**5/2 - 859*m**4 - 27516*m**3 + 47955*m**2 - 19867*m/2 - 9648 = 0. Calculate m.
-32, -1/3, 1, 603
Factor x**4/3 + 8*x**3 + 66*x**2 + 616*x/3 + 147.
(x + 1)*(x + 7)**2*(x + 9)/3
Find x, given that 15*x**5 + 252*x**4 + 789*x**3 + 612*x**2 - 156*x = 0.
-13, -2, 0, 1/5
Factor 9*l**3 - 111*l**2 - 20376*l + 6804.
3*(l - 54)*(l + 42)*(3*l - 1)
Suppose f**3 - 15*f**2 - 1162*f + 1176 = 0. Calculate f.
-28, 1, 42
Find f such that -3*f**5/5 + 366*f**4/5 - 5436*f**3/5 - 18534*f**2/5 - 19281*f/5 - 6552/5 = 0.
-1, 21, 104
Factor -2*s**2/3 + 566*s/3 - 560.
-2*(s - 280)*(s - 3)/3
Find q such that -4*q**2 - 792*q + 14620 = 0.
-215, 17
Solve 5*t**4 + 2935*t**3 + 572355*t**2 + 37064385*t = 0.
-207, -173, 0
Factor -2*o**2/3 - 736*o/3 - 20894/3.
-2*(o + 31)*(o + 337)/3
Suppose -2*i**4/7 + 69052*i**3/7 - 138098*i**2/7 + 9864*i = 0. What is i?
0, 1, 34524
Solve 2*u**3 - 192*u**2 - 2754*u - 8720 = 0 for u.
-8, -5, 109
Factor 2*q**2/9 - 182*q/3 - 9248/9.
2*(q - 289)*(q + 16)/9
Factor m**4/3 - 14981*m**3/3 + 18700033*m**2 + 18705027*m.
m*(m - 7491)**2*(m + 1)/3
What is m in -2*m**4/7 + 60*m**3/7 - 190*m**2/7 - 540*m/7 + 1872/7 = 0?
-3, 3, 4, 26
Factor -l**2/5 + 2024*l/5 + 18297/5.
-(l - 2033)*(l + 9)/5
Factor 13*i**2/3 - 6923*i/3 - 1066.
(i - 533)*(13*i + 6)/3
Factor -48*c**3 - 42218*c**2 - 9273440*c + 4259200.
-2*(c + 440)**2*(24*c - 11)
Suppose -3*f**5 - 1509*f**4 - 7467*f**3 + 1509*f**2 + 7470*f = 0. What is f?
-498, -5, -1, 0, 1
Suppose -b**3 + 2267*b**2 - 20342*b + 45160 = 0. What is b?
4, 5, 2258
Let -9*g**5 + 33*g**4/2 + 345*g**3/2 + 285*g**2 + 174*g + 36 = 0. Calculate g.
-2, -1, -2/3, -1/2, 6
Solve -5*a**4/3 - 15365*a**3 - 92145*a**2 - 138195*a = 0 for a.
-9213, -3, 0
Suppose -2*y**5/11 + 224*y**4/11 - 590*y**3 + 1100*y**2 = 0. What is y?
0, 2, 55
Factor k**4/2 + 104*k**3 + 207*k**2/2.
k**2*(k + 1)*(k + 207)/2
Factor 3*m**2 + 47505*m - 237600.
3*(m - 5)*(m + 15840)
Factor -2*c**4/13 - 1088*c**3/13 - 147968*c**2/13.
-2*c**2*(c + 272)**2/13
Suppose 5*n**4 - 15*n**3 - 90*n**2 + 200*n = 0. Calculate n.
-4, 0, 2, 5
Solve -5*p**3 + 7055*p**2 + 7120*p - 84720 = 0 for p.
-4, 3, 1412
Factor -3*v**4 - 48*v**3 - 147*v**2 + 198*v.
-3*v*(v - 1)*(v + 6)*(v + 11)
Find b, given that -b**4/10 - 23968*b**3/5 + 71907*b**2/5 - 71908*b/5 + 47939/10 = 0.
-47939, 1
Factor 4*b**3 + 3156*b**2 + 300828*b + 7674188.
4*(b + 53)**2*(b + 683)
Solve 2292196*r**4/3 - 29213387*r**3/3 - 13422614*r**2 - 212164*r/3 - 280/3 = 0.
-5/4, -2/757, 14
Let -6*x**4/7 - 1461*x**3/7 - 10641*x**2/7 - 708*x = 0. What is x?
-236, -7, -1/2, 0
Determine a so that -3*a**5/7 - 12*a**4/7 + 3741*a**3/7 - 5430*a**2 - 26400*a + 492000/7 = 0.
-41, -5, 2, 20
What is m in 6*m**5 + 178*m**4 + 1658*m**3 + 3934*m**2 - 9864*m - 12312 = 0?
-38/3, -9, -1, 2
Suppose -2*z**2/5 + 300932*z/5 + 902814/5 = 0. What is z?
-3, 150469
Suppose -4*c**2/3 + 5745720*c - 6189993434700 = 0. Calculate c.
2154645
Suppose 147*x**5/2 - 21*x**4/4 - 100755*x**3/4 + 53913*x**2/2 - 9237*x + 1026 = 0. What is x?
-19, 2/7, 1/2, 18
Solve 366*q**2 + 81*q - 1626 = 0 for q.
-271/122, 2
Let o**4/6 - 301*o**3/6 + 591*o**2/2 - 875*o/6 - 1475/3 = 0. Calculate o.
-1, 2, 5, 295
Factor 2*r**4/5 + 22*r**3/5 - 242*r**2 + 7986*r/5.
2*r*(r - 11)**2*(r + 33)/5
Factor -2*u**3/13 + 160*u**2/13 + 1218*u/13.
-2*u*(u - 87)*(u + 7)/13
Factor -3*l**4/4 - 177*l**3 - 699*l**2 - 696*l.
-3*l*(l + 2)**2*(l + 232)/4
Factor 46*u**2/3 - 1442*u + 188/3.
2*(u - 94)*(23*u - 1)/3
Determine q so that 4*q**2/7 + 36*q/7 - 3600 = 0.
-84, 75
Factor 27*n**2 - 36294*n + 8064.
3*(n - 1344)*(9*n - 2)
Find b such that 4*b**5/7 + 2692*b**4/7 + 446100*b**3/7 - 2314692*b**2/7 - 2758104*b/7 = 0.
-339, -1, 0, 6
Find g, given that -4*g**4 - 1130*g**3 + 5142*g**2 - 6880*g + 2296 = 0.
-287, 1/2, 2
Factor -3*a**3 + 318*a**2 + 1335*a - 1650.
-3*(a - 110)*(a - 1)*(a + 5)
Suppose -4*o**2 + 7794*o - 11682 = 0. What is o?
3/2, 1947
Suppose n**5 - 449*n**4 + 39399*n**3 - 257599*n**2 + 283304*n + 580752 = 0. What is n?
-1, 4, 109, 333
Let 12*s**4 + 1764*s**3 - 148797*s**2 - 15701364*s + 950733612 = 0. What is s?
-138, 129/2
Determine a, given that -a**3/4 + 8585*a**2/4 + 85925*a/4 + 214875/4 = 0.
-5, 8595
Determine w, given that 2*w**4 + 234*w**3 + 8730*w**2 + 93150*w - 364500 = 0.
-45, -30, 3
Find v, given that -2*v**5/9 - 44*v**4/9 - 22*v**3/9 + 404*v**2/9 - 112*v/3 = 0.
-21, -4, 0, 1, 2
Factor -h**2/2 + 15285*h/2.
-h*(h - 15285)/2
Find r, given that 14*r**4 + 567400*r**3 + 40243979784*r**2/7 + 22995587200*r/7 + 3285037568/7 = 0.
-20264, -2/7
Factor -b**2/2 - 255*b/2 + 17978.
-(b - 101)*(b + 356)/2
Suppose 2*u**4/7 + 974*u**3/7 + 14266*u**2 + 98890*u/7 = 0. What is u?
-341, -145, -1, 0
Solve -3*t**5 + 96*t**4 - 594*t**3 + 408*t**2 + 597*t - 504 = 0 for t.
-1, 1, 7, 24
Suppose -3*s**5 + 108*s**4 - 789*s**3 - 900*s**2 = 0. What is s?
-1, 0, 12, 25
Factor -v**2/2 - 5785*v/2 + 201963.
-(v - 69)*(v + 5854)/2
Find o such that o**5 - 199*o**4 + 2626*o**3 - 6694*o**2 + 6301*o - 2035 = 0.
1, 11, 185
Suppose n**5 + 15*n**4 - 216*n**3 = 0. What is n?
-24, 0, 9
Factor 3*y**2 - 3817008*y + 1214129172672.
3*(y - 636168)**2
Find g such that g**4/4 - 49*g**3/4 - 97*g**2 - 59*g + 168 = 0.
-6, -2, 1, 56
Determine i so that 588*i**5 - 52556*i**4 + 1111640*i**3 + 2795464*i**2 + 2042844*i + 412164 = 0.
-1, -1/3, 321/7
Factor n**2/5 + 111889*n/5.
n*(n + 111889)/5
Find w such that -3*w**3/4 + 777*w**2/4 - 6195*w/2 + 2904 = 0.
1, 16, 242
Solve n**5 + 2001*n**4 + 1005991*n**3 + 4993995*n**2 + 6978016*n + 2988012 = 0.
-998, -3, -1
Find o, given that 4*o**4 + 4820*o**3 + 1394168*o**2 - 35715152*o - 316676640 = 0.
-614, -7, 30
Find r such that 2*r**5/15 - 86*r**4/5 + 2508*r**3/5 + 60364*r**2/15 - 179426*r/5 + 296274/5 = 0.
-11, 3, 67
What is r in 6*r**5 - 2535*r**4 + 109056*r**3 + 37782321*r**2 - 56859588*r + 18970740 = 0?
-95, 1/2, 1, 258
Factor -4*c**5 + 24*c**4.
-4*c**4*(c - 6)
Solve 3*c**2/5 - 11742*c/5 = 0.
0, 3914
Suppose -5*k**3 - 61195*k**2 + 61200*k = 0. What is k?
-12240, 0, 1
Factor -4*d**3 - 252456*d**2 - 3983629440*d - 7966249088.
-4*(d + 2)*(d + 31556)**2
Let 2*m**3/9 + 60*m**2 + 4654*m/9 - 1276 = 0. Calculate m.
-261, -11, 2
Factor -5*t**4 + 6850*t**3 - 2226785*t**2 - 81747900*t - 712101780.
-5*(t - 702)**2*(t + 17)**2
Determine o so that -o**2/5 + 12701*o/5 + 12706 = 0.
-5, 12706
Factor d**3 + 2050*d**2 - 33056*d.
d*(d - 16)*(d + 2066)
What is s in 5*s**3 + 20*s**2 - 2625*s = 0?
-25, 0, 21
What is o in o**5 - 7646*o**4/3 + 5087*o**3/3 + 7644*o**2 + 4*o/3 - 10192/3 = 0?
-1, 2/3, 2, 2548
Determine j, given that -4*j**5 + 5004*j**4 - 14940*j**3 - 44908*j**2 - 24960*j = 0.
-1, 0, 5, 1248
Factor 4*m**3 - 400*m**2 + 9628*m - 62832.
4*(m - 68)*(m - 21)*(m - 11)
Factor m**4 + 576*m**3 + 28084*m**2 + 441936*m + 2028928.
(m + 8)*(m + 22)**2*(m + 524)
Determine h so that 3*h**5/5 + 639*h**4/5 + 2517*h**3/5 + 1881*h**2/5 = 0.
-209, -3, -1, 0
Factor -14*p**4 - 25*p**3 - 11*p**2.
-p**2*(p + 1)*(14*p + 11)
Let -130*s**5 + 3974835*s**4 - 30382606790*s**3 - 10517838240*s**2 + 2337229440*s = 0. Calculate s.
-1/2, 0, 2/13, 15288
Factor l**4 - 205*l**3 + 10152*l**2 - 38180*l + 37376.
(l - 128)*(l - 73)*(l - 2)**2
Factor -i**4 + 54*i**3 - 423*i**2 + 810*i.
-i*(i - 45)*(i - 6)*(i - 3)
Determine p so that 5*p**3 - 1504495*p**2 - 4513530*p = 0.
-3, 0, 300902
Factor 3*s**4/5 + 408*s**3/5 + 807*s**2/5 + 402*s/5.
3*s*(s + 1)**2*(s + 134)/5
Determine r, given that 5*r**4/3 + 439*r**3/3 - 1063*r**2/3 - 2185*r + 450 = 0.
-90, -3, 1/5, 5
Determine f so that 36*f**4 - 6020*f**3 - 17024*f**2 + 4080*f = 0.
-3, 0, 2/9, 170
Solve 4*u**5/11 + 102*u**4/11 + 2*u**3 - 690*u**2/11 + 262*u/11 + 300/11 = 0 for u.
-25, -3, -1/2, 1, 2
Solve -4*m**2 - 6864*m - 6860 = 0 for m.
-1715, -1
Let -330*n**4 - 26195*n**3 - 60