*4 - 40*a**3 - 10*a**2 + 45*a - 20 = 0.
-1, 1, 4
What is x in 3*x**5 - x**4 - 51*x**3 + 17*x**2 + 48*x - 16 = 0?
-4, -1, 1/3, 1, 4
Determine w, given that -w**4/5 + 13*w**3/5 - 47*w**2/5 + 7*w = 0.
0, 1, 5, 7
Factor 3*b**2/5 - 21*b/5 + 36/5.
3*(b - 4)*(b - 3)/5
Factor m**2/7 - 788*m/7 + 155236/7.
(m - 394)**2/7
Factor -26*a**5/3 - 22*a**4/3 + 4*a**3/3.
-2*a**3*(a + 1)*(13*a - 2)/3
Determine y so that y**2/6 - 19*y/3 = 0.
0, 38
Determine g, given that -g**2 - 7*g - 12 = 0.
-4, -3
Factor -q**2/6 + 3*q - 27/2.
-(q - 9)**2/6
Solve 26*x**5 - 308*x**4 + 1304*x**3 - 2288*x**2 + 1280*x + 256 = 0.
-2/13, 2, 4
Factor 5*l**5 + 2530*l**4 + 317505*l**3 - 642620*l**2 + 322580*l.
5*l*(l - 1)**2*(l + 254)**2
Determine u so that -4*u**2 + 32*u - 48 = 0.
2, 6
Factor 2*r**4/13 + 12*r**3/13 - 30*r**2/13 + 16*r/13.
2*r*(r - 1)**2*(r + 8)/13
What is f in -2*f**4 + 44*f**3/3 - 10*f**2/3 - 28*f/3 = 0?
-2/3, 0, 1, 7
Let -12*g**5/7 + 3*g**3 + 3*g**2/7 - 9*g/7 - 3/7 = 0. Calculate g.
-1, -1/2, 1
Let a**3/6 - 7*a**2/3 - a/6 + 7/3 = 0. What is a?
-1, 1, 14
Determine x, given that -2*x**2/3 + 2/3 = 0.
-1, 1
Factor 3*l**3 - 15*l**2 - 72*l.
3*l*(l - 8)*(l + 3)
Factor -4*n**2 - 4080*n - 1040400.
-4*(n + 510)**2
What is n in -n**2/6 - 158*n/3 - 1232/3 = 0?
-308, -8
Let c**2 - 103*c + 202 = 0. What is c?
2, 101
Factor 5*o**4 + 140*o**3 + 1220*o**2 + 3360*o + 2880.
5*(o + 2)**2*(o + 12)**2
Determine j so that j**5/4 - 19*j**4/2 - 21*j**3/2 + 28*j**2 + 193*j/4 + 39/2 = 0.
-1, 2, 39
Factor 2*c**4 + 12*c**3 - 30*c**2 + 16*c.
2*c*(c - 1)**2*(c + 8)
Let -4*s**5 + 32*s**4 - 80*s**3 + 64*s**2 = 0. What is s?
0, 2, 4
Factor q**3 + 10*q**2 - 43*q - 52.
(q - 4)*(q + 1)*(q + 13)
Factor 2*b**3/11 - 12*b**2/11 + 10*b/11.
2*b*(b - 5)*(b - 1)/11
Factor -5*s**3 - 420*s**2 + 1305*s.
-5*s*(s - 3)*(s + 87)
Solve 3*v**2 - 2193*v - 4398 = 0 for v.
-2, 733
Suppose 2*v**3/11 + 174*v**2/11 + 5046*v/11 + 48778/11 = 0. What is v?
-29
Factor 87*z**2/4 - 79*z/4 + 7/2.
(3*z - 2)*(29*z - 7)/4
Let 32*w**4 - 1008*w**3 - 10750*w**2 - 5184*w - 640 = 0. Calculate w.
-8, -1/4, 40
Find l such that -l**5/4 + l**4/4 + 5*l**3/4 + 3*l**2/4 = 0.
-1, 0, 3
Find g, given that 10*g**5 + 315*g**4 - 1565*g**3 + 1980*g**2 - 20*g - 720 = 0.
-36, -1/2, 1, 2
Factor -3*r**4 - 27*r**3 - 60*r**2 - 36*r.
-3*r*(r + 1)*(r + 2)*(r + 6)
Solve -1911*q**4 - 4522*q**3 - 3047*q**2 - 812*q - 76 = 0.
-19/13, -1/3, -2/7
Find m such that -m**5/5 + 3*m**4/5 - 2*m**3/5 = 0.
0, 1, 2
Let 8*g**3/3 + 2*g**2/3 - 864*g - 216 = 0. What is g?
-18, -1/4, 18
Factor -2*h**4 + 12*h**3 + 50*h**2 + 36*h.
-2*h*(h - 9)*(h + 1)*(h + 2)
Determine c, given that -23*c**3/4 + 71*c**2/4 - 13*c + 1 = 0.
2/23, 1, 2
Solve 4*o**2/9 + 1628*o/9 - 544/3 = 0.
-408, 1
Factor -b**3 - 13*b**2 - 22*b.
-b*(b + 2)*(b + 11)
Find w, given that -7*w**3 + 282*w**2 + 823*w - 258 = 0.
-3, 2/7, 43
Factor -3*z**4 + 9*z**3.
-3*z**3*(z - 3)
Find o such that o**3/8 - o**2/8 = 0.
0, 1
Solve 5*l**4 + 215*l**3 - 220*l**2 = 0.
-44, 0, 1
What is h in -10*h**4/7 - 442*h**3/7 - 134*h**2 - 590*h/7 - 12 = 0?
-42, -1, -1/5
Factor 2*q**3/7 + 5514*q**2/7 + 5067366*q/7 + 1552303118/7.
2*(q + 919)**3/7
Determine x so that -4*x**5 + 204*x**4 - 3276*x**3 + 15876*x**2 = 0.
0, 9, 21
Determine o so that -2*o**5/15 - 4*o**4/15 + 6*o**3/5 + 4*o**2/15 - 16*o/15 = 0.
-4, -1, 0, 1, 2
Factor z**4 + 10*z**3 - 23*z**2 + 12*z.
z*(z - 1)**2*(z + 12)
Suppose -h**2/2 + 97*h/2 + 49 = 0. What is h?
-1, 98
Factor -w**4/3 + 121*w**3/3 - 1240*w**2 + 1200*w.
-w*(w - 60)**2*(w - 1)/3
Factor 5*w**5 - 20*w**4 + 10*w**3 + 20*w**2 - 15*w.
5*w*(w - 3)*(w - 1)**2*(w + 1)
Determine s so that -5*s**3 + 25*s**2 + 5*s - 25 = 0.
-1, 1, 5
Factor -3*u**2 - 120*u - 117.
-3*(u + 1)*(u + 39)
Determine g, given that -4*g**4 - 256*g**3 - 3816*g**2 + 9504*g + 13068 = 0.
-33, -1, 3
Factor z**5/9 + z**4/9 - 2*z**3/9.
z**3*(z - 1)*(z + 2)/9
Factor -6*f**3 + 580*f**2 - 14208*f + 9216.
-2*(f - 48)**2*(3*f - 2)
Find w, given that 5*w**2/2 - w - 152 = 0.
-38/5, 8
What is g in 2*g**3 - 264*g**2 - 2258*g + 2520 = 0?
-9, 1, 140
Factor 4*b**3 - 248*b**2 - 508*b - 256.
4*(b - 64)*(b + 1)**2
Factor -p**2 - 22*p + 23.
-(p - 1)*(p + 23)
Determine t so that t**3/6 - 61*t**2/3 + 407*t/2 = 0.
0, 11, 111
Determine g, given that -5*g**2 + 255*g - 2970 = 0.
18, 33
Find u, given that 27*u**4 + 72936*u**3 + 49304712*u**2 + 65642400*u + 21870000 = 0.
-1350, -2/3
Factor 2*f**3 - 120*f**2 + 334*f + 456.
2*(f - 57)*(f - 4)*(f + 1)
Solve -x**3 - 46*x**2 - 444*x - 1224 = 0.
-34, -6
Factor 17*n**4/3 + 716*n**3/3 + 3360*n**2 + 47824*n/3 + 5488/3.
(n + 14)**3*(17*n + 2)/3
Find o, given that -12*o**5/17 - 2*o**4/17 + 72*o**3/17 + 108*o**2/17 + 52*o/17 + 6/17 = 0.
-1, -1/6, 3
Solve -4*u**2/3 + 14*u/3 + 98/3 = 0 for u.
-7/2, 7
Factor -2*z**3 + 24*z**2 - 42*z - 196.
-2*(z - 7)**2*(z + 2)
Let 2*z**5/11 - 6*z**4/11 + 8*z**2/11 = 0. What is z?
-1, 0, 2
Factor -2*z**4 + 12*z**3 - 18*z**2 + 8*z.
-2*z*(z - 4)*(z - 1)**2
Factor -i**4 + 186*i**3 - 8649*i**2.
-i**2*(i - 93)**2
Find l, given that 2*l**2/11 - 4476*l/11 + 2504322/11 = 0.
1119
Let x**2/2 + 9*x/8 + 1/4 = 0. Calculate x.
-2, -1/4
Factor 3*y**3/5 - 13*y**2/5 - 3*y/5 + 13/5.
(y - 1)*(y + 1)*(3*y - 13)/5
Determine s, given that -2*s**4/9 - 16*s**3/9 + 62*s**2/9 - 44*s/9 = 0.
-11, 0, 1, 2
Let -5*d**5 - 5*d**4 + 420*d**3 + 1220*d**2 + 800*d = 0. Calculate d.
-8, -2, -1, 0, 10
Factor 2*w**4 + 20*w**3 - 72*w**2 + 76*w - 26.
2*(w - 1)**3*(w + 13)
Factor -l**2/8 - 149*l/8 + 385/4.
-(l - 5)*(l + 154)/8
Factor 5*j**2 + 300*j + 4500.
5*(j + 30)**2
Determine w, given that -3*w**2 - 372*w - 11532 = 0.
-62
Let 2*f**3/9 - 742*f**2/3 + 275282*f/3 - 102129622/9 = 0. Calculate f.
371
Factor 5*b**2 - 100*b + 480.
5*(b - 12)*(b - 8)
What is m in -m**3/4 + 107*m**2/4 = 0?
0, 107
Find w, given that 3*w**3/4 - 49*w**2/4 + 25*w - 7 = 0.
1/3, 2, 14
Factor y**3/9 + 73*y**2/3 + 860*y/9.
y*(y + 4)*(y + 215)/9
Factor 3*z**2 - 13*z/4 + 1/4.
(z - 1)*(12*z - 1)/4
Determine m, given that 18*m**2 + 183*m - 165 = 0.
-11, 5/6
Factor a**4/2 - 13*a**3/2 + 16*a**2 - 10*a.
a*(a - 10)*(a - 2)*(a - 1)/2
Factor -2*i**2/11 + 52*i/11 - 138/11.
-2*(i - 23)*(i - 3)/11
Factor 3*w**4 + 45*w**3 + 117*w**2 + 111*w + 36.
3*(w + 1)**3*(w + 12)
Factor 4*q**5 + 8*q**4 - 32*q**3 + 8*q**2 + 28*q - 16.
4*(q - 1)**3*(q + 1)*(q + 4)
Factor 5*k**3 - 35*k**2 - 40*k.
5*k*(k - 8)*(k + 1)
Determine c, given that 14*c**4/15 + 368*c**3/15 - 274*c**2/15 - 36*c/5 = 0.
-27, -2/7, 0, 1
Find u such that -35*u**3/2 + 465*u**2/2 - 590*u + 150 = 0.
2/7, 3, 10
Let -15*h**2/7 + 43*h/7 + 6/7 = 0. Calculate h.
-2/15, 3
Suppose -3*w**3/5 + 212*w**2/5 + 73*w/5 - 142/5 = 0. What is w?
-1, 2/3, 71
Find q such that -2*q**4 + 10*q**3 - 4*q**2 - 16*q = 0.
-1, 0, 2, 4
Determine m, given that -m**3/5 + 9*m**2/5 - 24*m/5 + 4 = 0.
2, 5
What is d in -d**4/5 + 61*d**3/5 + 7*d**2/5 - 433*d/5 + 366/5 = 0?
-3, 1, 2, 61
Factor 2*t**3/7 - 684*t**2/7 + 8256*t + 118336/7.
2*(t - 172)**2*(t + 2)/7
Factor 3*y**2 + 81*y.
3*y*(y + 27)
Factor 6*v**2 - 15*v - 9.
3*(v - 3)*(2*v + 1)
Factor -5*r**3/6 + 14*r**2/3 + 35*r/2 - 12.
-(r - 8)*(r + 3)*(5*r - 3)/6
Determine p so that 4*p**3/9 + 116*p**2/9 - 4*p/9 - 116/9 = 0.
-29, -1, 1
Factor 5*z**5 - 215*z**4 + 2600*z**3 - 10840*z**2 + 18640*z - 11440.
5*(z - 26)*(z - 11)*(z - 2)**3
Solve 2*k**5 + 1628*k**4 - 9816*k**3 + 19660*k**2 - 16394*k + 4920 = 0.
-820, 1, 3
Factor -c**4 + 4*c**3 + 48*c**2 + 112*c + 80.
-(c - 10)*(c + 2)**3
Factor -2*q**2 + 1712*q - 366368.
-2*(q - 428)**2
Find a such that 4*a**2 + 548*a = 0.
-137, 0
Factor o**2 + 22*o - 75.
(o - 3)*(o + 25)
Factor -5*z**2 + 25130*z - 31575845.
-5*(z - 2513)**2
Let 14*z**2/17 + 32*z/17 + 8/17 = 0. Calculate z.
-2, -2/7
Factor 2*u**4/9 + 16*u**3/9 - 2*u**2/3 - 52*u/9 - 32/9.
2*(u - 2)*(u + 1)**2*(u + 8)/9
Determine j so that 2*j**2 - 234*j = 0.
0, 117
Factor -55*p**3 + 120*p**2 - 20*p.
-5*p*(p - 2)*(11*p - 2)
Suppose -3*t**5 - 21*t**4 - 51*t**3 - 51*t**2 - 18*t = 0. What is t?
-3, -2, -1, 0
Let m**5 + 19*m**4 - 51*m**3 - 187*m**2 + 50*m + 168 = 0. What is m?
-21, -2, -1, 1, 4
Find p such that -p**2 + 1113*p - 1112 = 0.
1, 1112
Let -3*z**2 - 2172*z - 393132 = 0. Calculate z.
-362
Factor -8*j**4/19 - 6*j**3/19 + 2*j**2/19.
-2*j**2*(j + 1)*(4*j - 1)/19
Factor 60*k**4 - 5*k**3 - 60*k**2 + 5*k.
5*k*(k - 1)*(k + 1)*(12*k - 1)
Let 2*f**3 - 14