25*q**4 + 30*q**3 + 10*q**2 - 35*q + 15 = 0.
-1, 1, 3
Solve -4*q**5/3 + 68*q**4/3 + 168*q**3 + 1064*q**2/3 + 908*q/3 + 92 = 0.
-3, -1, 23
Factor 2*f**3/5 + 78*f**2/5 + 104*f + 744/5.
2*(f + 2)*(f + 6)*(f + 31)/5
Determine w so that w**3 + 42*w**2 + 81*w + 40 = 0.
-40, -1
Solve -2*t**5/7 + 80*t**4/7 - 1004*t**3/7 + 4080*t**2/7 - 5202*t/7 = 0.
0, 3, 17
What is h in -5*h**5 - 885*h**4 - 41320*h**3 - 191800*h**2 - 299280*h - 147920 = 0?
-86, -2, -1
Factor -4*o**5 + 12*o**4 + 36*o**3 + 20*o**2.
-4*o**2*(o - 5)*(o + 1)**2
Factor -2*n**3/11 + 8*n**2/11 - 10*n/11 + 4/11.
-2*(n - 2)*(n - 1)**2/11
What is y in 5*y**4 + 5*y**3 - 60*y**2 = 0?
-4, 0, 3
Factor 5*g**3 + 85*g**2 + 75*g - 1125.
5*(g - 3)*(g + 5)*(g + 15)
Solve 2*x**2/7 + 128*x/7 = 0.
-64, 0
Let 2*n**5/3 + 68*n**4 + 2312*n**3 + 78608*n**2/3 = 0. Calculate n.
-34, 0
Factor -w**4 + 10*w**3 - 16*w**2.
-w**2*(w - 8)*(w - 2)
Solve -p**3/2 + 461*p**2/2 + 925*p/2 + 463/2 = 0.
-1, 463
Find l, given that 2*l**3 + 30*l**2 + 126*l + 98 = 0.
-7, -1
Suppose l**2/5 - 55*l - 1116/5 = 0. What is l?
-4, 279
Factor -3*m**3 + 810*m**2 - 1608*m.
-3*m*(m - 268)*(m - 2)
What is y in -2*y**2 - 52*y = 0?
-26, 0
Factor 2*z**2/3 + 29*z + 43/3.
(z + 43)*(2*z + 1)/3
Factor 4*w**4 - 56*w**3 + 192*w**2 + 56*w - 196.
4*(w - 7)**2*(w - 1)*(w + 1)
Determine x, given that -3*x**3 + 1386*x**2 + 2781*x + 1392 = 0.
-1, 464
Factor 50*v**3 - 60*v**2 - 72*v - 16.
2*(v - 2)*(5*v + 2)**2
Factor m**5/2 + 7*m**4/2 + 9*m**3 + 11*m**2 + 13*m/2 + 3/2.
(m + 1)**4*(m + 3)/2
Suppose -j**4/7 + 25*j**3/7 - 156*j**2/7 = 0. Calculate j.
0, 12, 13
Factor -2*x**3 + 4*x**2 + 266*x + 260.
-2*(x - 13)*(x + 1)*(x + 10)
Factor 4*v**3 + 168*v**2 + 1764*v.
4*v*(v + 21)**2
Suppose 2*s**5 + 10*s**4 - 28*s**3 = 0. What is s?
-7, 0, 2
Let a**4/3 + 5*a**3/3 + 5*a**2/3 - 5*a/3 - 2 = 0. What is a?
-3, -2, -1, 1
Suppose -5*x**2 - 70*x + 9435 = 0. What is x?
-51, 37
Let q**3/2 - 5*q**2/6 - 11*q/6 - 1/2 = 0. What is q?
-1, -1/3, 3
Factor k**2 - 4217*k - 4218.
(k - 4218)*(k + 1)
Factor -r**3 - 38*r**2 - 140*r - 136.
-(r + 2)**2*(r + 34)
Factor -3*y**4 + 189*y**3 - 3087*y**2 + 19551*y - 43218.
-3*(y - 42)*(y - 7)**3
Find j such that 3*j**3 + 102*j**2 - 720*j = 0.
-40, 0, 6
Solve -12*t**5 - 15*t**4 + 9*t**3 + 15*t**2 + 3*t = 0.
-1, -1/4, 0, 1
Factor -5*q**3/4 + 15*q**2/2 - 25*q/4.
-5*q*(q - 5)*(q - 1)/4
Determine o so that 5*o**5 - 55*o**4 + 180*o**3 - 80*o**2 - 320*o = 0.
-1, 0, 4
Factor -3*a**3 - 18*a**2 + 189*a - 324.
-3*(a - 3)**2*(a + 12)
Factor 5*w**2 - 250*w + 245.
5*(w - 49)*(w - 1)
Solve 2*k**2/5 - 2*k + 8/5 = 0 for k.
1, 4
Find g such that 5*g**5 - 10*g**4 + 10*g**2 - 5*g = 0.
-1, 0, 1
Find l such that l**2/7 + 762*l/7 + 145161/7 = 0.
-381
What is r in 4*r**5 - 1052*r**4 + 6204*r**3 - 9252*r**2 = 0?
0, 3, 257
What is h in -h**2/3 - 2*h - 5/3 = 0?
-5, -1
Factor -5*s**2 - 1215*s - 2410.
-5*(s + 2)*(s + 241)
Find y such that -5*y**4 - 25*y**3 - 30*y**2 = 0.
-3, -2, 0
Factor -g**3/2 - 6*g**2 + 103*g/2 - 45.
-(g - 5)*(g - 1)*(g + 18)/2
Let -5*i**4 - 20*i**3 + 15*i**2 + 50*i - 40 = 0. Calculate i.
-4, -2, 1
Factor -25*m**2 + 197*m/2 + 6.
-(m - 4)*(50*m + 3)/2
What is w in -3*w**4/2 + 303*w**3/4 - 639*w**2/2 + 417*w - 138 = 0?
1/2, 2, 46
Factor 3*n**3/5 + 114*n**2/5 + 603*n/5 + 864/5.
3*(n + 3)**2*(n + 32)/5
Find f, given that -2*f**3/3 + 38*f**2 + 160*f + 488/3 = 0.
-2, 61
Suppose -5*a**3 - 450*a**2 - 3235*a + 3690 = 0. Calculate a.
-82, -9, 1
Factor -2*z**2/9 + 4280*z/3 - 2289800.
-2*(z - 3210)**2/9
Factor -a**3 + 19*a**2 + 45*a - 63.
-(a - 21)*(a - 1)*(a + 3)
Factor 2*q**2/5 - 196*q/5 - 80.
2*(q - 100)*(q + 2)/5
Factor -4*s**2/5 + 4*s.
-4*s*(s - 5)/5
Factor -4*j**4/3 - 32*j**3/3 + 76*j**2/3 - 40*j/3.
-4*j*(j - 1)**2*(j + 10)/3
Factor -3*k**2 + 18*k + 216.
-3*(k - 12)*(k + 6)
Factor l**5/6 - 17*l**4/3 + 188*l**3/3 - 760*l**2/3 + 1288*l/3 - 784/3.
(l - 14)**2*(l - 2)**3/6
Factor -2*g**3/13 + 44*g**2/13 - 30*g/13 - 252/13.
-2*(g - 21)*(g - 3)*(g + 2)/13
Find v such that 9*v**4/5 + 267*v**3/5 + 153*v**2/5 - 603*v/5 + 174/5 = 0.
-29, -2, 1/3, 1
Solve -4*i**2 - 32776*i - 67141636 = 0 for i.
-4097
Factor 2*w**2/5 + 3288*w/5 + 1351368/5.
2*(w + 822)**2/5
Factor l**4 - 5*l**3 - 3*l**2 + 17*l - 10.
(l - 5)*(l - 1)**2*(l + 2)
Factor -2*h**5/5 + 6*h**4/5.
-2*h**4*(h - 3)/5
Factor 2*z**4/3 - 76*z**3/3 - 2*z**2/3 + 76*z/3.
2*z*(z - 38)*(z - 1)*(z + 1)/3
Solve 3*k**2 - 129*k + 360 = 0 for k.
3, 40
Factor 4*g**2/5 + 456*g/5 + 12996/5.
4*(g + 57)**2/5
Let -o**4/5 - 7*o**3/5 - 14*o**2/5 - 8*o/5 = 0. Calculate o.
-4, -2, -1, 0
Suppose i**3 - 9*i**2 - 49*i - 39 = 0. What is i?
-3, -1, 13
Suppose -6*l**4/7 + 8*l**3/7 + 10*l**2/7 - 4*l/7 = 0. Calculate l.
-1, 0, 1/3, 2
Solve 6*w**4/5 + 4*w**3/5 - 18*w**2/5 - 24*w/5 - 8/5 = 0 for w.
-1, -2/3, 2
Solve 15*a**3 - 95*a**2 - 70*a = 0.
-2/3, 0, 7
Factor 3*b**2 - 351*b + 348.
3*(b - 116)*(b - 1)
Determine n so that 3*n**5/8 + 9*n**4/8 - 27*n**3/4 + 3*n**2/2 + 9*n = 0.
-6, -1, 0, 2
Factor 12*r**3 + 4*r**2 - 8*r.
4*r*(r + 1)*(3*r - 2)
Determine w, given that 4*w**3 + 20*w**2 - 56*w = 0.
-7, 0, 2
Let 2*s**4/11 + 178*s**3/11 + 172*s**2/11 - 32*s = 0. Calculate s.
-88, -2, 0, 1
Find v such that -2*v**4/21 + 92*v**3/21 - 352*v**2/7 - 92*v/21 + 1058/21 = 0.
-1, 1, 23
Suppose -3*v**4 + 15*v**3 + 1824*v**2 - 20736*v = 0. Calculate v.
-27, 0, 16
Let 3*c**3 - 24*c**2 - 111*c + 132 = 0. Calculate c.
-4, 1, 11
Let d**2/7 - 333*d/7 + 332/7 = 0. Calculate d.
1, 332
Determine x, given that -10*x**4 + 54*x**3 - 100*x**2 + 72*x - 16 = 0.
2/5, 1, 2
Find f such that -4*f**5/5 + 248*f**4/5 + 252*f**3/5 = 0.
-1, 0, 63
Let -d**5 + 18*d**4 - 108*d**3 + 216*d**2 = 0. What is d?
0, 6
Factor -l**2 - 38*l - 361.
-(l + 19)**2
Factor 4*d**4 + 31*d**3 + 76*d**2 + 51*d - 18.
(d + 2)*(d + 3)**2*(4*d - 1)
Factor 3*g**5/4 + 267*g**4/2 - 537*g**3/4.
3*g**3*(g - 1)*(g + 179)/4
Factor -5*h**2 - 527*h - 210.
-(h + 105)*(5*h + 2)
Let -x**3/4 + 21*x**2/4 + 148*x = 0. What is x?
-16, 0, 37
Suppose 5*s**5/3 - 35*s**4 + 235*s**3/3 + 3205*s**2/3 + 2080*s + 3380/3 = 0. Calculate s.
-2, -1, 13
Suppose -3*s**4/7 + 3*s**3 - 3*s**2/7 - 27*s + 270/7 = 0. Calculate s.
-3, 2, 3, 5
Factor 3*n**2 - 150*n + 1875.
3*(n - 25)**2
Factor -4*r**2 + 208*r - 204.
-4*(r - 51)*(r - 1)
Factor 250*h**4/7 - 20450*h**3/7 - 3540*h**2 - 9944*h/7 - 1328/7.
2*(h - 83)*(5*h + 2)**3/7
Solve -23*z**3 + 110*z**2 - 164*z + 72 = 0 for z.
18/23, 2
Factor -o**4 - 31*o**3 + 1131*o**2 - 5841*o + 8262.
-(o - 17)*(o - 3)**2*(o + 54)
Factor -2*v**3 - 62*v**2 - 374*v + 1734.
-2*(v - 3)*(v + 17)**2
Find l, given that 4*l**4 + 1112*l**3 + 2196*l**2 - 3312*l = 0.
-276, -3, 0, 1
Find h, given that -2*h**4/5 + 14*h**3/5 + 144*h**2/5 - 136*h + 704/5 = 0.
-8, 2, 11
What is a in 2*a**3 + 64*a**2 - 2*a - 64 = 0?
-32, -1, 1
Let g**4/2 - 9*g**3/2 + 29*g**2/2 - 39*g/2 + 9 = 0. What is g?
1, 2, 3
Factor 125*m**4/2 + 23075*m**3/2 + 13815*m**2/2 + 2761*m/2 + 92.
(m + 184)*(5*m + 1)**3/2
Factor 2*w**5 + 22*w**4 + 76*w**3 + 80*w**2.
2*w**2*(w + 2)*(w + 4)*(w + 5)
Factor 3*o**4/5 - 954*o**3/5 + 74883*o**2/5 + 30528*o + 15360.
3*(o - 160)**2*(o + 1)**2/5
Find a such that a**4/7 + 13*a**3/7 + 5*a**2 - 7*a = 0.
-7, 0, 1
Factor -w**5 - 14*w**4 + 108*w**3 - 230*w**2 + 197*w - 60.
-(w - 3)*(w - 1)**3*(w + 20)
Factor -3*l**2 + 29436*l - 72206508.
-3*(l - 4906)**2
Factor -3*x**2 - 942*x - 73947.
-3*(x + 157)**2
Factor 4*y**3/9 + 44*y**2/3 + 368*y/9 + 80/3.
4*(y + 1)*(y + 2)*(y + 30)/9
Find a such that a**2/2 + 3328*a + 5537792 = 0.
-3328
Factor u**3/6 - u**2/6 - 3*u/2 + 3/2.
(u - 3)*(u - 1)*(u + 3)/6
Let 21*h**3/2 + 141*h**2/2 - 336*h + 90 = 0. Calculate h.
-10, 2/7, 3
Suppose k**3 - 10*k**2 - 27*k + 36 = 0. What is k?
-3, 1, 12
Factor r**3/6 - 77*r**2/6 - 157*r/6 - 79/6.
(r - 79)*(r + 1)**2/6
Let -2*w**2 + 56*w + 58 = 0. Calculate w.
-1, 29
Suppose 4*t**4 + 140*t**3 + 496*t**2 = 0. What is t?
-31, -4, 0
Suppose 2*j**2 + 40*j + 38 = 0. What is j?
-19, -1
Factor g**3/2 - 33*g**2/2.
g**2*(g - 33)/2
Factor g**4/6 + 25*g**3/6 - 241*g**2/6 - 553*g/6 - 48.
(g - 9)*(g + 1)**2*(g + 32)/6
Factor -27*m**3 + 816*m**2 + 1548*m - 384.
-3*(m - 32)*(m + 2)*(9*m - 2)
What is u in -u**2/5 - 48*u/5 - 576/5 = 0?
-24
Let -3*y**5/7 + 3*y**4/7 + 30*y**3/7 - 12*y**2/7 - 72*y/7 = 0. Calculate y.
-2, 0, 2, 3
Let -15*j**4 + 35*j**3 - 10*j**2 = 0. What is j?
0, 1/3, 2
Factor