3 - 17*a**2 + 37*a - 19.
-(a - 1)**2*(a + 19)
Factor -4*h**4/3 + 20*h**3/3 - 16*h**2/3.
-4*h**2*(h - 4)*(h - 1)/3
Find x, given that -5*x**5 + 15*x**4 + 35*x**3 - 35*x**2 - 90*x - 40 = 0.
-1, 2, 4
Factor -3*b**4 + 33*b**3 + 75*b**2 + 39*b.
-3*b*(b - 13)*(b + 1)**2
Factor 12*n**3/7 - 105*n**2 + 24*n + 915/7.
3*(n - 61)*(n + 1)*(4*n - 5)/7
Let 2*z**3 + 2*z**2 - 8*z - 8 = 0. What is z?
-2, -1, 2
Factor -2*p**4 + 6*p**3 + 68*p**2 + 96*p.
-2*p*(p - 8)*(p + 2)*(p + 3)
Factor 3*m**2 - 15*m - 18.
3*(m - 6)*(m + 1)
Let n**2 + 6*n = 0. Calculate n.
-6, 0
Factor 3*z**4 + 21*z**3 + 51*z**2 + 51*z + 18.
3*(z + 1)**2*(z + 2)*(z + 3)
Find a, given that -80*a**5 - 9400*a**4 + 14235*a**3 - 5350*a**2 + 595*a = 0.
-119, 0, 1/4, 1
Factor 5*b**4 + 10*b**3 - 10*b - 5.
5*(b - 1)*(b + 1)**3
Find g such that -3*g**3 + 798*g**2 - 1587*g + 792 = 0.
1, 264
Let -2*l**3/3 - 76*l**2 = 0. What is l?
-114, 0
Factor -2*z**2 + 8*z + 384.
-2*(z - 16)*(z + 12)
Factor -21*w**4 + 6042*w**3 + 1728*w**2.
-3*w**2*(w - 288)*(7*w + 2)
Determine i so that 2*i**4/13 + 18*i**3/13 + 20*i**2/13 - 72*i/13 - 112/13 = 0.
-7, -2, 2
Solve 12*f**3 - 140*f**2 - 1136*f + 816 = 0 for f.
-6, 2/3, 17
Factor -5*g**4/6 - 570*g**3 - 285490*g**2/3 + 788880*g - 4788640/3.
-5*(g - 4)**2*(g + 346)**2/6
Factor -5*n**4 - 10*n**3 + 15*n**2.
-5*n**2*(n - 1)*(n + 3)
Determine f, given that f**3 + 4*f**2/3 - 49*f/3 + 10 = 0.
-5, 2/3, 3
Factor -4*f**4 + 22*f**3 - 24*f**2 - 18*f.
-2*f*(f - 3)**2*(2*f + 1)
Factor 2*l**4 + 24*l**3 + 76*l**2 + 24*l - 126.
2*(l - 1)*(l + 3)**2*(l + 7)
Solve -4*w**2 - 644*w - 640 = 0 for w.
-160, -1
Suppose -4*d**3 + 52*d**2 - 92*d + 44 = 0. What is d?
1, 11
Determine j so that 2*j**3/5 - 418*j**2/5 - 1696*j/5 - 1704/5 = 0.
-2, 213
Factor 2*p**5/5 + 22*p**4/5 + 14*p**3 + 10*p**2.
2*p**2*(p + 1)*(p + 5)**2/5
Factor -3*y**2 - 5298*y - 2339067.
-3*(y + 883)**2
Factor n**4 + 6*n**3.
n**3*(n + 6)
Solve -2*a**2 - 332*a = 0.
-166, 0
Factor -4*w**2/11 + 158*w/11 + 80/11.
-2*(w - 40)*(2*w + 1)/11
Find n such that -6*n**3/13 - 994*n**2/13 + 2344*n/13 - 1344/13 = 0.
-168, 1, 4/3
What is z in 4*z**3 + 28*z**2 + 48*z = 0?
-4, -3, 0
Find t, given that 4*t**5/5 - 8*t**4/5 - 8*t**3 + 16*t**2 + 36*t/5 - 72/5 = 0.
-3, -1, 1, 2, 3
Let -4*r**3 - 96*r**2 + 684*r - 1080 = 0. Calculate r.
-30, 3
Factor 6*z**4 - z**3 - 2*z**2.
z**2*(2*z + 1)*(3*z - 2)
Solve -2*y**3/7 - 2*y**2/7 + 144*y/7 = 0.
-9, 0, 8
Determine t, given that 4*t**5 - 44*t**3 - 72*t**2 - 32*t = 0.
-2, -1, 0, 4
Factor 4*w**2 + 156*w - 160.
4*(w - 1)*(w + 40)
Solve k**4/8 - 213*k**3/8 + 15123*k**2/8 - 357911*k/8 = 0.
0, 71
Let -11*u**4 + 51*u**3/2 + 21*u**2/2 - 32*u - 6 = 0. Calculate u.
-1, -2/11, 3/2, 2
Factor 115*h**4 + 325*h**3 + 285*h**2 + 55*h - 20.
5*(h + 1)**3*(23*h - 4)
Factor 3*t**3/7 - 117*t**2/7 + 573*t/7 + 99.
3*(t - 33)*(t - 7)*(t + 1)/7
Factor 2*h**3/5 + 14*h**2/5 - 2*h/5 - 14/5.
2*(h - 1)*(h + 1)*(h + 7)/5
Let 2*f**4 + 4*f**3 - 174*f**2 - 1072*f - 1760 = 0. What is f?
-5, -4, 11
Factor -g**2/5 - 1196*g/5 + 2396/5.
-(g - 2)*(g + 1198)/5
Factor z**3 + 13*z**2 + 23*z + 11.
(z + 1)**2*(z + 11)
Factor 2*g**3/13 + 1134*g**2/13 + 160176*g/13 - 161312/13.
2*(g - 1)*(g + 284)**2/13
Factor c**3/8 - 81*c**2/2 - c/8 + 81/2.
(c - 324)*(c - 1)*(c + 1)/8
Factor a**2 - 104*a + 495.
(a - 99)*(a - 5)
Find h, given that h**3/2 + 285*h**2/2 + 564*h + 562 = 0.
-281, -2
Suppose 21*i**5/4 + 351*i**4/4 + 1389*i**3/4 + 729*i**2/4 - 165*i/2 = 0. Calculate i.
-11, -5, -1, 0, 2/7
Factor -3*b**3/8 + 27*b**2/8 - 45*b/8 + 21/8.
-3*(b - 7)*(b - 1)**2/8
Factor -3*a**2/4 + 351*a + 1407/4.
-3*(a - 469)*(a + 1)/4
Factor x**3/3 - 5*x**2/3 + 8*x/3 - 4/3.
(x - 2)**2*(x - 1)/3
Factor -15*i**3 - 1029*i**2 + 1464*i - 420.
-3*(i - 1)*(i + 70)*(5*i - 2)
Suppose h**2/2 - 193*h + 385/2 = 0. What is h?
1, 385
Let -108*j**4 + 7236*j**3 - 168192*j**2 + 1490944*j - 3145728 = 0. What is j?
3, 64/3
Determine n, given that 14*n**3 - 228*n**2 + 960*n - 256 = 0.
2/7, 8
Factor -u**2/2 - 15*u - 81/2.
-(u + 3)*(u + 27)/2
Factor 2*c**2 + 268*c - 1104.
2*(c - 4)*(c + 138)
Factor -3*z**5 + 60*z**4 + 63*z**3.
-3*z**3*(z - 21)*(z + 1)
Let -3*x**2/8 + 111*x/4 - 54 = 0. Calculate x.
2, 72
Factor -3*s**3 + 1884*s**2 - 14928*s + 29760.
-3*(s - 620)*(s - 4)**2
Solve t**4/4 + 23*t**3/4 + 43*t**2/4 + 21*t/4 = 0 for t.
-21, -1, 0
Determine a, given that -2*a**5 - 214*a**4/3 + 5362*a**3/9 - 13238*a**2/9 + 3760*a/3 - 344 = 0.
-43, 2/3, 3
Let -b**4 - 8*b**3 - 15*b**2 + 8*b + 16 = 0. What is b?
-4, -1, 1
What is k in -2*k**5/7 + 96*k**4/7 - 1408*k**3/7 + 6228*k**2/7 - 1458*k + 756 = 0?
1, 2, 3, 21
Find g such that -6*g**4 - 100*g**3 - 58*g**2 + 100*g + 64 = 0.
-16, -1, -2/3, 1
Find i such that -i**5 - 39*i**4 - 315*i**3 + 1319*i**2 - 168*i - 1764 = 0.
-21, -1, 2
Solve 4*b**3 + 1116*b**2 + 78396*b + 77284 = 0 for b.
-139, -1
Factor -4*x**5 - 180*x**4 - 984*x**3 - 1904*x**2 - 1248*x.
-4*x*(x + 2)**3*(x + 39)
Let -18*x**3 - 231*x**2 - 177*x + 36 = 0. Calculate x.
-12, -1, 1/6
Factor k**5/5 - 39*k**4/5 + 74*k**3/5 + 2*k**2/5 - 15*k + 37/5.
(k - 37)*(k - 1)**3*(k + 1)/5
Find l, given that 9*l**4 - 168*l**3 + 261*l**2 - 102*l = 0.
0, 2/3, 1, 17
Factor 2*r**3/9 + 64*r**2/3.
2*r**2*(r + 96)/9
Factor -2*l**3 + 138*l**2 + 2*l - 138.
-2*(l - 69)*(l - 1)*(l + 1)
Factor -5*t**2/2 - 12170*t - 14810890.
-5*(t + 2434)**2/2
Find m such that -2*m**2/5 - 14*m - 392/5 = 0.
-28, -7
Suppose s**4 - 34*s**3 + 321*s**2 - 544*s + 256 = 0. Calculate s.
1, 16
Factor -f**4/4 + 91*f**3/2 - 8461*f**2/4 + 4095*f - 2025.
-(f - 90)**2*(f - 1)**2/4
Factor -5*i**4 + 335*i**3 + 1760*i**2 + 2860*i + 1440.
-5*(i - 72)*(i + 1)*(i + 2)**2
Factor 2*h**2/3 + 3808*h/3 + 1812608/3.
2*(h + 952)**2/3
Solve 4*l**3/21 + 62*l**2/21 + 32*l/3 - 128/21 = 0.
-8, 1/2
What is z in z**3/3 - 5*z**2/3 - 8*z/3 + 4 = 0?
-2, 1, 6
Factor s**3/8 - 13*s**2/2 - 107*s/8 - 27/4.
(s - 54)*(s + 1)**2/8
Solve 3*y**4/7 + 249*y**3/7 + 5034*y**2/7 - 828*y - 1512 = 0.
-42, -1, 2
Find w, given that 65*w**2/2 + 67*w/2 + 1 = 0.
-1, -2/65
Factor -z**4/9 - 13*z**3/9 - 32*z**2/9 - 20*z/9.
-z*(z + 1)*(z + 2)*(z + 10)/9
Suppose -5*d**5 - 20*d**4 - 15*d**3 = 0. What is d?
-3, -1, 0
Factor -811538*p**2 - 5096*p - 8.
-2*(637*p + 2)**2
Determine f, given that -3*f**2 + 57*f/4 - 45/4 = 0.
1, 15/4
Suppose b**2/5 - 2582*b/5 + 1666681/5 = 0. What is b?
1291
Factor c**3/5 + 34*c**2/5 + 13*c + 32/5.
(c + 1)**2*(c + 32)/5
Factor 23*w**2/4 - 45*w/2 - 2.
(w - 4)*(23*w + 2)/4
Solve -3*w**5/7 + 109*w**4/7 + 306*w**3/7 + 234*w**2/7 + w/7 - 39/7 = 0 for w.
-1, 1/3, 39
Factor -24*p**2/5 - 58*p/5 - 34/5.
-2*(p + 1)*(12*p + 17)/5
Factor 2*k**2/9 + 40*k/9 - 104/3.
2*(k - 6)*(k + 26)/9
Factor -d**3 - 21*d**2 - 98*d + 120.
-(d - 1)*(d + 10)*(d + 12)
Factor -2*l**2/7 - 324*l/7 - 13122/7.
-2*(l + 81)**2/7
Factor -o**5/5 + 41*o**4/5 - 8*o**3.
-o**3*(o - 40)*(o - 1)/5
Factor -4*v**4 + 68*v**3 - 120*v**2.
-4*v**2*(v - 15)*(v - 2)
Factor l**4 + 17*l**3 - 110*l**2.
l**2*(l - 5)*(l + 22)
Factor -2*s**5/3 + 38*s**4/3 - 230*s**3/3 + 150*s**2.
-2*s**2*(s - 9)*(s - 5)**2/3
Solve 3*k**2 - 54*k - 345 = 0 for k.
-5, 23
Factor -4*c**2 + 348*c - 1944.
-4*(c - 81)*(c - 6)
Factor 4*i**3/3 - 540*i**2 + 1592*i/3 + 3232.
4*(i - 404)*(i - 3)*(i + 2)/3
Factor 3*w**3/5 - 354*w**2/5 + 699*w/5 - 348/5.
3*(w - 116)*(w - 1)**2/5
Factor -2*s**3 + 4*s**2 + 16*s.
-2*s*(s - 4)*(s + 2)
Determine r so that -5*r**2 - 2365*r = 0.
-473, 0
Let 2*v**2 - 3354*v - 3356 = 0. What is v?
-1, 1678
Factor -25*c**2 + 40*c - 16.
-(5*c - 4)**2
Factor -2*a**4 + 16*a**3 - 10*a**2 - 76*a - 48.
-2*(a - 6)*(a - 4)*(a + 1)**2
Suppose -2*f**3 - 24*f**2 - 10*f + 132 = 0. What is f?
-11, -3, 2
Factor 4*w**2 + 760*w + 756.
4*(w + 1)*(w + 189)
Suppose -2*b**3 + 6*b**2 + 8*b = 0. What is b?
-1, 0, 4
Solve 18*u**2 + 4*u = 0 for u.
-2/9, 0
Solve -48*h**4/5 - 921*h**3/5 - 123*h**2/5 + 921*h/5 + 171/5 = 0.
-19, -1, -3/16, 1
Factor u**3/4 + 25*u**2 - 107*u/4 - 303/2.
(u - 3)*(u + 2)*(u + 101)/4
Let -10*j**4 - 816*j**3 - 482*j**2 + 324*j = 0. What is j?
-81, -1, 0, 2/5
Factor 2*j**3/5 - 30*j**2 - 156*j/5 + 304/5.
2*(j - 76)*(j - 1)*(j + 2)/5
Factor -h**4 + 4*h**3 + 11*h**2 + 6*h.
-h*(h - 6)*(h + 1)**2
Factor -d**3 - 13*d**2 + 30*d.
-d*(d - 2)*(d + 15)
Factor m**4 + 470*m**3 + 53313*m**2 - 449320*m + 913936.
(m - 4)**2*(m + 239)**2
Find f, given that -5*f**2 - 2580*f + 778