539904*k**2 + 91810226032*k = 0.
-7, 0, 57262
Suppose -2*n**5 + 192*n**4 - 1844*n**3 - 144312*n**2 - 271754*n + 417720 = 0. Calculate n.
-20, -3, 1, 59
Factor 2*j**2/9 + 19258*j/9 + 19240.
2*(j + 9)*(j + 9620)/9
Determine n so that -n**5 - 654*n**4 - 137173*n**3 - 9228888*n**2 + 18871916*n - 9505200 = 0.
-300, -178, 1
Factor 3*t**3 - 5724*t**2 + 2724615*t + 5472150.
3*(t - 955)**2*(t + 2)
Determine b so that 15*b**5 + 230*b**4 + 1020*b**3 + 1830*b**2 + 1445*b + 420 = 0.
-28/3, -3, -1
Factor -2*n**3/11 + 28*n**2/11 + 182*n/11 + 152/11.
-2*(n - 19)*(n + 1)*(n + 4)/11
Suppose -4*c**5 - 104*c**4 - 916*c**3 - 2976*c**2 - 2160*c = 0. Calculate c.
-10, -9, -6, -1, 0
Factor -7*f**3/4 + 531679*f**2/2 - 10095843657*f + 2884505058.
-(f - 75954)**2*(7*f - 2)/4
Factor k**2 - 2314*k + 2313.
(k - 2313)*(k - 1)
Find g such that -27*g**3/4 - 102990*g**2 + 22887*g = 0.
-15258, 0, 2/9
Determine m, given that 3*m**5/2 + 4083*m**4/2 + 10182*m**3 + 16278*m**2 + 8136*m = 0.
-1356, -2, -1, 0
Solve -k**3/3 - 146*k**2/3 - 2155*k/3 + 1634 = 0 for k.
-129, -19, 2
Factor -k**3/2 + 96*k**2 + 10880*k.
-k*(k - 272)*(k + 80)/2
Solve 230187*x**4 - 2070021*x**3 - 14955*x**2 - 27*x = 0.
-1/277, 0, 9
Factor k**3/2 + 16027*k**2 + 128416336*k - 256896784.
(k - 2)*(k + 16028)**2/2
Let 2*p**2/3 + 52208*p/3 + 17402 = 0. Calculate p.
-26103, -1
Let -2*o**5/5 - 1472*o**4/15 - 7708*o**3/15 - 2224*o**2/5 + 3846*o/5 + 288 = 0. Calculate o.
-240, -3, -1/3, 1
Factor -2*o**2 - 1436*o + 161766.
-2*(o - 99)*(o + 817)
Factor m**5/9 - 146*m**4/3 - 1184*m**3/3 - 7136*m**2/9.
m**2*(m - 446)*(m + 4)**2/9
What is i in 15*i**4 - 4010*i**3 - 242140*i**2 - 3404440*i - 2163200 = 0?
-26, -2/3, 320
Factor r**2/4 - 22939*r + 526197721.
(r - 45878)**2/4
Let -44*a**3/3 + 1196*a**2/9 - 1097*a/9 + 266/9 = 0. Calculate a.
1/2, 266/33
Suppose -4*r**4 - 2584*r**3 + 26140*r**2 - 65600*r = 0. What is r?
-656, 0, 5
Factor -f**4/4 + 39*f**3/4 + 405*f**2/4 + 1269*f/4 + 324.
-(f - 48)*(f + 3)**3/4
Factor 6*h**3/5 - 104*h**2/5 + 98*h/5 + 96.
2*(h - 16)*(h - 3)*(3*h + 5)/5
Factor g**3/7 + 300304*g**2/7 + 22545923405*g/7 + 45090645602/7.
(g + 2)*(g + 150151)**2/7
Let -4*x**4/9 + 1028*x**2/9 - 1024/9 = 0. What is x?
-16, -1, 1, 16
Solve 8*j**5 + 29748*j**4 - 44700*j**3 - 223072*j**2 + 476112*j - 178560 = 0.
-3720, -3, 1/2, 2
Let 4*k**4 - 25672*k**3 + 41190724*k**2 = 0. What is k?
0, 3209
Factor 5*x**4 + 585*x**3 + 5475*x**2 - 772705*x.
5*x*(x - 29)*(x + 73)**2
Factor 4*l**2/7 - 251856*l/7 + 3964465296/7.
4*(l - 31482)**2/7
Factor -4*x**3/7 - 1264*x**2/7 - 23680*x/7.
-4*x*(x + 20)*(x + 296)/7
Find a, given that 27*a**5/2 - 318*a**4 - 16045*a**3/3 - 6436*a**2/3 + 15689*a/6 - 770/3 = 0.
-11, -1, 1/9, 4/9, 35
Suppose 2*x**4/7 - 108*x**3 + 106*x**2 + 4524*x/7 = 0. Calculate x.
-2, 0, 3, 377
Factor -2*f**2/15 - 27076*f/15 - 91638722/15.
-2*(f + 6769)**2/15
Factor -2*n**3/5 - 138*n**2/5 - 1008*n/5 + 10584.
-2*(n - 15)*(n + 42)**2/5
Let -4*t**3/9 - 176*t**2/3 - 5440*t/3 + 73984/9 = 0. Calculate t.
-68, 4
Factor 2*m**2/5 + 216352*m + 29255117440.
2*(m + 270440)**2/5
Let -3*y**2/5 - 444*y/5 + 4239/5 = 0. What is y?
-157, 9
Factor -4*s**2 + 88544*s.
-4*s*(s - 22136)
Let 9*k**4 + 40*k**3 - 627*k**2 - 658*k = 0. Calculate k.
-94/9, -1, 0, 7
Suppose -5*z**3 - 3280*z**2 + 70685*z - 270800 = 0. What is z?
-677, 5, 16
Determine q so that -2*q**4/7 - 116*q**3/7 - 2274*q**2/7 - 15768*q/7 - 1944 = 0.
-21, -18, -1
Factor 2*m**2/11 + 25072*m/11 + 78575648/11.
2*(m + 6268)**2/11
Solve 4*d**5 + 540*d**4 - 10228*d**3 + 16596*d**2 + 27360*d = 0 for d.
-152, -1, 0, 3, 15
Solve -5*b**2 + 30140*b + 30145 = 0.
-1, 6029
Factor -p**4 + 14694*p**3 + 353040*p**2 + 2825344*p + 7535616.
-(p - 14718)*(p + 8)**3
Solve 4*j**3 + 6680*j**2 + 2727808*j - 51288192 = 0.
-844, 18
Let 4*o**4/5 + 536*o**3/5 + 17408*o**2/5 - 36992*o/5 = 0. Calculate o.
-68, 0, 2
Solve 2*d**3 + 738*d**2 + 1468*d = 0 for d.
-367, -2, 0
Factor t**4 + 306*t**3 - 13504*t**2 + 116256*t.
t*(t - 28)*(t - 12)*(t + 346)
Factor 2*k**2 + 2270*k + 332852.
2*(k + 173)*(k + 962)
Let -10*o**3/7 - 452*o**2/7 + 370*o/7 + 92/7 = 0. What is o?
-46, -1/5, 1
Solve 9*f**5 - 606*f**4 - 1110*f**3 + 5040*f**2 + 9261*f + 3726 = 0.
-3, -1, -2/3, 3, 69
Solve 2*r**2/11 - 44952*r/11 + 89896/11 = 0 for r.
2, 22474
Factor -s**2 - 3345954*s - 2798852042529.
-(s + 1672977)**2
Solve -4*r**4 - 9252*r**3 - 110592*r**2 - 331472*r - 294528 = 0 for r.
-2301, -8, -2
Let 2*g**2/3 - 20024*g/3 + 50120072/3 = 0. Calculate g.
5006
Factor -3*z**4 - 109464*z**3 - 998640066*z**2 - 1996951752*z - 998421147.
-3*(z + 1)**2*(z + 18243)**2
Suppose -50*x**2 - 3292440*x - 54200805768 = 0. What is x?
-164622/5
Find f, given that -2*f**5 + 4952*f**4 + 9920*f**3 - 19808*f**2 - 39648*f = 0.
-2, 0, 2, 2478
Find f such that -2*f**2/9 + 1148*f/3 - 17170/9 = 0.
5, 1717
Factor 2*g**5 - 1106*g**4 + 5480*g**3.
2*g**3*(g - 548)*(g - 5)
Factor j**4/4 + 337317*j**3/2 + 113783433121*j**2/4 + 56891210586*j + 28445520964.
(j + 1)**2*(j + 337316)**2/4
Solve k**3 - 126*k**2 + 3564*k - 29160 = 0 for k.
18, 90
Determine d, given that -3*d**5/2 + 339*d**4/2 - 6456*d**3 + 94992*d**2 - 506880*d + 418176 = 0.
1, 12, 44
Find m such that -2*m**5/3 - 50*m**4/3 + 80*m**3/3 + 4880*m**2/3 - 6240*m + 6048 = 0.
-18, 2, 7
Suppose -507*t**3 - 8929713*t**2 + 1373811*t - 52839 = 0. Calculate t.
-17613, 1/13
Factor -2*r**3/11 - 430*r**2/11 - 15414*r/11 - 152586/11.
-2*(r + 21)**2*(r + 173)/11
Factor 5*u**3 + 21305*u**2 + 21717375*u - 2105128125.
5*(u - 89)*(u + 2175)**2
Determine i, given that -4*i**4 - 472*i**3 - 924*i**2 + 472*i + 928 = 0.
-116, -2, -1, 1
What is k in -3*k**5 + 258*k**4 - 8226*k**3 + 117504*k**2 - 696195*k + 984150 = 0?
2, 15, 27
Suppose h**5/3 + 20*h**4/3 + 36*h**3 - 80*h**2/3 - 1984*h/3 - 1280 = 0. What is h?
-10, -6, -4, 4
Suppose -3*s**5 + 4248*s**4 - 1503789*s**3 - 4248*s**2 + 1503792*s = 0. What is s?
-1, 0, 1, 708
Solve -3*o**4/4 + 147*o**3/2 - 414*o**2 - 24*o + 2208 = 0.
-2, 4, 92
Factor 12*v**3 + 2235*v**2 + 558*v.
3*v*(v + 186)*(4*v + 1)
Factor -2*t**3 + 750*t**2 + 22626*t - 23374.
-2*(t - 403)*(t - 1)*(t + 29)
Let 2*l**3/3 - 56*l**2 + 414*l + 17612/3 = 0. Calculate l.
-7, 17, 74
Find i such that -49*i**4 + 2926*i**3 + 1000*i**2 - 9472*i - 7680 = 0.
-8/7, 2, 60
Determine b, given that b**4/3 - 1016*b**3/3 + 11095*b**2/3 - 13416*b + 16080 = 0.
3, 4, 1005
Factor -7980*k**2 - 55885*k - 175.
-5*(k + 7)*(1596*k + 5)
Let -4*s**2 - 1244*s - 44280 = 0. What is s?
-270, -41
Factor a**4 - 275*a**3 - 72622*a**2 + 20048576*a - 19975680.
(a - 272)**2*(a - 1)*(a + 270)
Factor 4*z**3/7 - 38*z**2/7 - 50*z/7 + 12.
2*(z - 1)*(z + 2)*(2*z - 21)/7
Suppose c**5/4 - 315*c**4 + 508605*c**3/4 - 35130275*c**2/2 + 761969160*c + 1595221128 = 0. Calculate c.
-2, 108, 523
Let -10*a**2 + 677*a/3 + 68/3 = 0. Calculate a.
-1/10, 68/3
Let -8*x**3/5 - 8050*x**2 - 170926*x/5 - 40216/5 = 0. What is x?
-5027, -4, -1/4
Find t such that 142*t**4/7 + 4408*t**3/7 + 4446*t**2/7 + 180*t/7 = 0.
-30, -1, -3/71, 0
Factor -2*o**2/7 + 22048*o/7 - 66126/7.
-2*(o - 11021)*(o - 3)/7
Suppose -2*b**4/3 + 760*b**3/3 - 35800*b**2 + 6688000*b/3 - 154880000/3 = 0. Calculate b.
80, 110
Factor -15*n**2/4 + 1119*n/8 - 1089/8.
-3*(n - 1)*(10*n - 363)/8
What is p in 12*p**4 + 350*p**3 - 3568*p**2 = 0?
-223/6, 0, 8
Factor -i**3/2 + 280*i**2 - 12576*i + 147456.
-(i - 512)*(i - 24)**2/2
Let 4*n**5 - 72*n**4 - 19212*n**3 - 459184*n**2 - 1608816*n - 1533312 = 0. Calculate n.
-33, -2, 88
Find w such that 46*w**5 + 2756*w**4/5 - 14768*w**3/5 + 256*w**2/5 = 0.
-16, 0, 2/115, 4
Factor -p**4 + 35*p**3 + 388*p**2 + 352*p.
-p*(p - 44)*(p + 1)*(p + 8)
Suppose -2*r**2/9 - 1784*r/9 - 7618/3 = 0. Calculate r.
-879, -13
Let -r**4/3 - 64*r**3/3 - 125*r**2/3 - 62*r/3 = 0. What is r?
-62, -1, 0
Let x**3/5 + 862*x**2/5 - 7849*x/5 - 1742 = 0. What is x?
-871, -1, 10
Find c such that 87740*c**2 - 2105752*c - 192 = 0.
-2/21935, 24
Determine c, given that -2*c**5 - 228*c**4 + 2176*c**3 - 4692*c**2 - 2174*c + 4920 = 0.
-123, -1, 1, 4, 5
Find z such that -2*z**5/9 + 13178*z**4/9 - 9640432*z**3/3 + 21093115792*z**2/9 + 106015940576*z/9 + 42475945568/3 = 0.
-3, -2, 2198
Suppose y**5/6 - 8*y**4 + 683*y**3/6 - 428*y**2 + 462*y = 0. What is y?
0, 2, 3, 21, 22
Determine q, given that 5*q**2 - 1335*q + 16510 = 0.
13, 254
Factor -p**3/3 + 110