 - 971*w**2/5 + 361*w/5 - 6 = 0.
-6, 1/8, 1/4, 5
Determine t so that t**3/10 + 2*t**2/5 + 3*t/10 = 0.
-3, -1, 0
Solve -4*n**3 + 108*n**2 - 200*n = 0.
0, 2, 25
Factor 2*a**3/5 + 4*a**2/5 - 144*a.
2*a*(a - 18)*(a + 20)/5
Suppose 3*h**5 + 162*h**4 + 1653*h**3 - 14238*h**2 + 28620*h - 16200 = 0. Calculate h.
-30, 1, 2, 3
Factor -2*w**2 + 952*w - 113288.
-2*(w - 238)**2
Find a such that -16*a**3 - 436*a**2 - 1580*a - 368 = 0.
-23, -4, -1/4
Factor 15*b**3/4 - 9*b**2/2 + 3*b/4.
3*b*(b - 1)*(5*b - 1)/4
Let 4*c**3 + 60*c**2 + 288*c + 432 = 0. What is c?
-6, -3
Factor t**5/2 - 3*t**4 + 13*t**3/2 - 6*t**2 + 2*t.
t*(t - 2)**2*(t - 1)**2/2
Factor -9*l**4/2 - 7*l**3/2 + l**2.
-l**2*(l + 1)*(9*l - 2)/2
Factor -2*x**3/9 - 230*x**2/9 + 236*x/9 + 464/9.
-2*(x - 2)*(x + 1)*(x + 116)/9
Factor y**2 - 314*y.
y*(y - 314)
Factor 3*c**4 + 117*c**3 + 744*c**2.
3*c**2*(c + 8)*(c + 31)
Determine f so that 2*f**2/7 - 12*f/7 + 16/7 = 0.
2, 4
Factor -b**2/2 - 151*b + 304.
-(b - 2)*(b + 304)/2
Suppose f**4 - 526*f**3 + 1569*f**2 + 4*f - 2092 = 0. What is f?
-1, 2, 523
Find w, given that -w**2 - 302*w - 22801 = 0.
-151
Factor -80*f**3 + 196*f**2 + 148*f - 48.
-4*(f - 3)*(4*f - 1)*(5*f + 4)
Factor w**5 - 12*w**4 + 48*w**3 - 82*w**2 + 63*w - 18.
(w - 6)*(w - 3)*(w - 1)**3
Let -2*m**4 - 4*m**3 + 38*m**2 + 136*m + 120 = 0. What is m?
-3, -2, 5
Determine w so that -2*w**4/7 + 2*w**3 + 38*w**2/7 - 2*w - 36/7 = 0.
-2, -1, 1, 9
Factor 2*d**3 + 772*d**2 - 1550*d + 776.
2*(d - 1)**2*(d + 388)
Solve -5*f**4 - 60*f**3 - 225*f**2 - 270*f = 0.
-6, -3, 0
Suppose -3770*g**2/9 + 4*g/9 = 0. What is g?
0, 2/1885
Factor -3*c**2 - 696*c.
-3*c*(c + 232)
Factor -175*c**2 + 3165*c - 270.
-5*(c - 18)*(35*c - 3)
What is p in 2*p**5/7 + 16*p**4/7 + 46*p**3/7 + 8*p**2 + 24*p/7 = 0?
-3, -2, -1, 0
Find o such that 3*o**5 + 981*o**4 = 0.
-327, 0
Find j, given that -3*j**5 - 12*j**4 + 108*j**3 - 222*j**2 + 183*j - 54 = 0.
-9, 1, 2
Factor 10*r**4 + 96*r**3 - 40*r**2.
2*r**2*(r + 10)*(5*r - 2)
Let -10*u**5 + 26*u**4 + 28*u**3 - 44*u**2 - 18*u + 18 = 0. What is u?
-1, 3/5, 1, 3
Factor 3*y**3 - 12*y**2 - 3*y + 12.
3*(y - 4)*(y - 1)*(y + 1)
Factor 4*p**5 - 8*p**4 - 288*p**3 - 1080*p**2 - 1188*p.
4*p*(p - 11)*(p + 3)**3
Factor s**3/2 + 18*s**2 - 78*s - 5408.
(s - 16)*(s + 26)**2/2
Find n such that 50*n**5/3 + 70*n**4 + 116*n**3 + 284*n**2/3 + 38*n + 6 = 0.
-1, -3/5
What is m in -4*m**3 - 100*m**2 - 188*m - 92 = 0?
-23, -1
Factor 2*b**4 - 708*b**3 + 1394*b**2 + 4920*b + 2816.
2*(b - 352)*(b - 4)*(b + 1)**2
Factor -3*j**4 + 3*j**3 + 18*j**2 - 12*j - 24.
-3*(j - 2)**2*(j + 1)*(j + 2)
Factor -2*m**3/7 - 22*m**2/7 + 16*m - 120/7.
-2*(m - 2)**2*(m + 15)/7
Factor -k**2/5 - 42*k/5 - 16.
-(k + 2)*(k + 40)/5
Find q, given that -4*q**4/5 + 8*q**3 + 48*q**2/5 - 1064*q/5 + 196 = 0.
-5, 1, 7
Find n such that -2*n**3 + 27*n**2/2 - 33*n/2 - 5 = 0.
-1/4, 2, 5
Factor 6*o**3 + 2*o**2 - 16*o + 8.
2*(o - 1)*(o + 2)*(3*o - 2)
Determine i, given that i**3 + 14*i**2 - 15*i = 0.
-15, 0, 1
Determine s so that s**4 - 14*s**3 + 35*s**2 - 22*s = 0.
0, 1, 2, 11
Factor -k**3/3 + 26*k**2/3 + 55*k/3 + 28/3.
-(k - 28)*(k + 1)**2/3
Factor -2*y**5/5 + 4*y**3/5 - 2*y/5.
-2*y*(y - 1)**2*(y + 1)**2/5
Factor 4*c**4/5 - 12*c**3 + 252*c**2/5 - 68*c + 144/5.
4*(c - 9)*(c - 4)*(c - 1)**2/5
Suppose -3*i**3/2 - 69*i**2/2 - 180*i + 216 = 0. Calculate i.
-12, 1
Find x such that 2*x**4/9 - 52*x**3/9 + 166*x**2/3 - 2080*x/9 + 3200/9 = 0.
5, 8
Factor -2*g**2/3 + 3896*g/3 - 1897352/3.
-2*(g - 974)**2/3
Factor -2*i**3/9 - 6*i**2 + 648.
-2*(i - 9)*(i + 18)**2/9
Solve -n**5 + 3*n**4 + n**3 - 7*n**2 + 4 = 0.
-1, 1, 2
Factor 43*m**2 + 2*m.
m*(43*m + 2)
Factor 4*k**4 + 124*k**3 + 112*k**2 - 240*k.
4*k*(k - 1)*(k + 2)*(k + 30)
Factor p**4 + 13*p**3 + 40*p**2.
p**2*(p + 5)*(p + 8)
Determine i, given that -196*i**5 + 1064*i**4 - 1108*i**3 - 912*i**2 - 144*i = 0.
-2/7, 0, 3
Determine r so that 5*r**2 - 3765*r - 11340 = 0.
-3, 756
Let 3*y**2 + 75*y + 72 = 0. Calculate y.
-24, -1
Factor 2*o**4 + 10*o**3 - 2*o**2 - 10*o.
2*o*(o - 1)*(o + 1)*(o + 5)
Find q such that -16*q**5 - 440*q**4 - 3337*q**3 - 4291*q**2 - 1547*q - 169 = 0.
-13, -1, -1/4
Solve -3*y**5/8 + 3*y**4/4 + 9*y**3/8 = 0.
-1, 0, 3
Find t, given that 5*t**3/4 - 5745*t**2/4 + 1647375*t/4 + 1653125/4 = 0.
-1, 575
Factor -4*w**3 + 7172*w**2 + 14356*w + 7180.
-4*(w - 1795)*(w + 1)**2
Factor c**3/2 - 10*c**2 + 51*c/2.
c*(c - 17)*(c - 3)/2
Determine n, given that 3*n**2 + 1506*n + 189003 = 0.
-251
Suppose -3*q**5 - 3*q**4 + 12*q**3 + 12*q**2 = 0. What is q?
-2, -1, 0, 2
Suppose -1296*k**4/7 + 25020*k**3/7 + 17792*k**2/7 + 592*k + 320/7 = 0. What is k?
-1/4, -2/9, 20
Let 2*u**3/5 - 8*u**2/5 - 6*u/5 + 36/5 = 0. What is u?
-2, 3
Factor 2*f**2/5 - 2624*f/5 + 860672/5.
2*(f - 656)**2/5
Factor n**2/5 - 12*n/5 + 4.
(n - 10)*(n - 2)/5
Factor -2*b**5/3 + 8*b**4/3 - 2*b**3/3 - 20*b**2/3 + 8*b/3 + 16/3.
-2*(b - 2)**3*(b + 1)**2/3
Factor 3*j**2 + 1581*j + 4716.
3*(j + 3)*(j + 524)
Factor -10*f**5/19 + 24*f**4/19 - 12*f**3/19 - 8*f**2/19 + 6*f/19.
-2*f*(f - 1)**3*(5*f + 3)/19
Factor -v**3/7 - 53*v**2/7 + 110*v/7.
-v*(v - 2)*(v + 55)/7
Solve -2*k**4/15 + 26*k**3/5 - 56*k**2/5 - 1888*k/15 + 384 = 0 for k.
-5, 4, 36
Determine g so that g**5/4 + 11*g**4/4 + 23*g**3/4 - 11*g**2/4 - 6*g = 0.
-8, -3, -1, 0, 1
Factor 4*k**2 - 56*k.
4*k*(k - 14)
Factor b**3/3 - 331*b**2 + 109561*b - 36264691/3.
(b - 331)**3/3
Factor -f**3/4 - 23*f**2/2 - 245*f/4 - 50.
-(f + 1)*(f + 5)*(f + 40)/4
Factor -2*c**2/21 + 838*c/7.
-2*c*(c - 1257)/21
Factor -3*g**5 + 21*g**4 - 45*g**3 + 27*g**2.
-3*g**2*(g - 3)**2*(g - 1)
Factor 2*z**2 + 4*z - 48.
2*(z - 4)*(z + 6)
Find d, given that -2*d**4/3 + 10*d**3/3 - 40*d/3 + 32/3 = 0.
-2, 1, 2, 4
Factor -x**3 + 339*x**2 + 681*x + 341.
-(x - 341)*(x + 1)**2
Find v such that 14*v**3/13 - 80*v**2/13 - 24*v/13 = 0.
-2/7, 0, 6
Suppose -340*n**5 - 8848*n**4 - 48148*n**3 + 122632*n**2 - 63728*n - 1568 = 0. Calculate n.
-14, -2/85, 1
Determine i so that -5*i**4/4 + 27*i**3/4 + 15*i**2 - 7*i = 0.
-2, 0, 2/5, 7
Let 9*c**4/7 - 24*c**3/7 + 18*c**2/7 - 3/7 = 0. Calculate c.
-1/3, 1
Factor -f**2/3 + 998*f/3 - 249001/3.
-(f - 499)**2/3
Factor a**3/8 - 11*a**2/4 + 153*a/8 - 81/2.
(a - 9)**2*(a - 4)/8
Factor -6*g**4/11 + 486*g**3/11 - 13572*g**2/11 + 141960*g/11 - 316368/11.
-6*(g - 26)**3*(g - 3)/11
Find r such that r**2/4 - 5*r/2 - 6 = 0.
-2, 12
Let -50*i**4/3 - 495*i**3 - 4850*i**2 - 45500*i/3 + 5000 = 0. Calculate i.
-10, 3/10
Find r such that -60*r**5/7 - 206*r**4/7 - 48*r**3/7 + 86*r**2/7 - 12*r/7 = 0.
-3, -1, 0, 1/6, 2/5
Determine c so that -5*c**3 - 390*c**2 - 765*c - 380 = 0.
-76, -1
Factor -b**2/4 - 21*b/4 - 5.
-(b + 1)*(b + 20)/4
Solve h**3/11 - 3*h**2/11 - 25*h/11 - 21/11 = 0.
-3, -1, 7
Find m such that 2*m**4/17 - 4*m**3/17 - 2*m**2/17 + 4*m/17 = 0.
-1, 0, 1, 2
Factor -5*u**4 + 1030*u**3 - 2040*u**2.
-5*u**2*(u - 204)*(u - 2)
Find p such that 2*p**5/3 - 38*p**4/3 - 128*p**3/3 - 88*p**2/3 = 0.
-2, -1, 0, 22
Solve -2*j**5/11 + 38*j**4/11 + 64*j**3/11 - 2216*j**2/11 - 8512*j/11 - 6272/11 = 0 for j.
-4, -1, 14
Factor 4*w**3/7 - 10*w**2/7 + 2*w/7 + 4/7.
2*(w - 2)*(w - 1)*(2*w + 1)/7
Factor 2*y**4/9 - 130*y**3/9 - 2*y**2/9 + 130*y/9.
2*y*(y - 65)*(y - 1)*(y + 1)/9
What is m in m**5/5 - 88*m**3/5 - 358*m**2/5 - 21*m + 110 = 0?
-5, -2, 1, 11
Solve -n**5/5 + 186*n**4/5 + 188*n**3/5 - 186*n**2/5 - 187*n/5 = 0.
-1, 0, 1, 187
Suppose -y**3/9 + 28*y**2/9 + 29*y/9 = 0. Calculate y.
-1, 0, 29
Suppose 4*f**3 + 160*f**2 - 4*f - 160 = 0. What is f?
-40, -1, 1
Let y**5/4 - 7*y**4/2 + 12*y**3 + 7*y**2/2 - 49*y/4 = 0. What is y?
-1, 0, 1, 7
Solve -d**4 - d**3 + 3*d**2 + d - 2 = 0 for d.
-2, -1, 1
Find s such that 2*s**3 - 76*s**2 - 166*s + 240 = 0.
-3, 1, 40
Suppose -7*c**3 - 5931*c**2 - 1694*c = 0. Calculate c.
-847, -2/7, 0
Determine x so that -2*x**2/11 - 366*x/11 - 364/11 = 0.
-182, -1
Suppose -w**2 - 982*w - 1960 = 0. What is w?
-980, -2
Factor -2*f**5/7 + 8*f**4/7 - 10*f**3/7 + 4*f**2/7.
-2*f**2*(f - 2)*(f - 1)**2/7
Factor -g**2/5 - 82*g/5.
-g*(g + 82)/5
Solve 3*c**2 + 1845*c + 5508 = 0.
-612, -3
Let -18*o**5/11 - 78*o**4 + 340*o**3/11 + 2440*o**2/11 - 2672*o/11 + 768/11 = 0. What is o?
-48, -2, 2/3, 1
Suppose 3*w**5/2 + 9*w**4/2 - 27*w**3/2 - 93*w**2/2 + 54 = 0. Calculate w.
-3, -2, 1, 3
Solve p**3/2 - 2625*p**2/2 + 2296875*p/2 - 669921875