 Calculate v.
-6, 1
Find v, given that -v**5 + 2*v**4 + 27*v**3 + 52*v**2 + 28*v = 0.
-2, -1, 0, 7
Determine n so that -n**5/3 - 812*n**4/3 + 814*n**3 - 2444*n**2/3 + 815*n/3 = 0.
-815, 0, 1
Find g such that -g**5/5 + 8*g**4/5 - 14*g**3/5 - 8*g**2/5 + 3*g = 0.
-1, 0, 1, 3, 5
Let -w**3/6 + 89*w**2/6 - 1292*w/3 + 4046 = 0. What is w?
21, 34
Find v, given that -3*v**3 + 3*v**2 + 3*v - 3 = 0.
-1, 1
Factor -4*b**2/7 - 24*b/7 + 160/7.
-4*(b - 4)*(b + 10)/7
Factor 5*m**2/6 - 10*m - 160/3.
5*(m - 16)*(m + 4)/6
Suppose -2*w**3 - 480*w**2 - 1422*w = 0. What is w?
-237, -3, 0
Find k, given that -4*k**3 - 2540*k**2 - 404492*k - 401956 = 0.
-317, -1
Factor -d**3/5 - 74*d**2/5 - 1369*d/5.
-d*(d + 37)**2/5
Let 3*r**4 - 27*r**3 + 72*r**2 - 60*r = 0. Calculate r.
0, 2, 5
Factor -c**4 - 152*c**3 - 5302*c**2 + 36024*c - 56169.
-(c - 3)**2*(c + 79)**2
Suppose h**3/2 + 10*h**2 + 83*h/2 - 52 = 0. What is h?
-13, -8, 1
Factor -2*k**3/3 - 38*k**2/3 - 52*k.
-2*k*(k + 6)*(k + 13)/3
Find k, given that 2*k**4 + 148*k**3 = 0.
-74, 0
Factor 5*t**2 - 130*t + 345.
5*(t - 23)*(t - 3)
Find o such that -10*o**3 - 1675*o**2 - 830*o + 835 = 0.
-167, -1, 1/2
Factor q**4/7 + 5*q**3/7 + 2*q**2/7 - 20*q/7 - 24/7.
(q - 2)*(q + 2)**2*(q + 3)/7
Find p, given that -2*p**3/5 - 366*p**2/5 - 726*p/5 - 362/5 = 0.
-181, -1
Determine k, given that -2*k**3 + 2078*k**2 + 4162*k + 2082 = 0.
-1, 1041
Find t such that -4*t**5/9 - 4*t**4/9 + 4*t**3 + 20*t**2/9 - 64*t/9 - 16/3 = 0.
-3, -1, 2
Factor -c**2 - 82*c - 237.
-(c + 3)*(c + 79)
Factor 3*g**2 - g - 374.
(g + 11)*(3*g - 34)
Factor 2*k**2/7 - 4*k/7.
2*k*(k - 2)/7
Factor 3*w**5/7 + 15*w**4/7 + 18*w**3/7 - 6*w**2/7 - 3*w - 9/7.
3*(w - 1)*(w + 1)**3*(w + 3)/7
Let -8*g**2 - 68*g + 36 = 0. Calculate g.
-9, 1/2
Factor 4*p**2/3 - 3048*p.
4*p*(p - 2286)/3
Factor j**5/2 + 11*j**4/2 + 19*j**3/2 - 115*j**2/2 - 100*j + 250.
(j - 2)**2*(j + 5)**3/2
Factor -2*a**3/7 - 1944*a**2/7 + 3894*a/7 - 1948/7.
-2*(a - 1)**2*(a + 974)/7
Factor -2*k**5 + 8*k**3 + 4*k**2 - 6*k - 4.
-2*(k - 2)*(k - 1)*(k + 1)**3
Let 3*m**2 + 3*m = 0. Calculate m.
-1, 0
Factor -3*a**2/2 + 189*a/2 + 195.
-3*(a - 65)*(a + 2)/2
Suppose -2916*f**5 - 5778*f**4 - 3760*f**3 - 800*f**2 = 0. Calculate f.
-20/27, -1/2, 0
Factor -n**3/5 - 158*n**2/5 - 619*n/5 - 462/5.
-(n + 1)*(n + 3)*(n + 154)/5
Factor -3*z**4 + 39*z**3 - 69*z**2 + 33*z.
-3*z*(z - 11)*(z - 1)**2
What is z in 2*z**5/17 + 174*z**4/17 + 20*z**3 - 4*z**2/17 - 342*z/17 - 10 = 0?
-85, -1, 1
Find a, given that 147*a**3 + 630*a**2 + 171*a + 12 = 0.
-4, -1/7
Factor -p**3/3 - p**2 + 4*p/3 + 4.
-(p - 2)*(p + 2)*(p + 3)/3
Factor 2*z**4/3 + 20*z**3/3 + 18*z**2 + 12*z.
2*z*(z + 1)*(z + 3)*(z + 6)/3
Determine o so that -o**2/8 - 3179*o/4 - 10106041/8 = 0.
-3179
Let -2*k**2/11 + 224*k - 68992 = 0. Calculate k.
616
Factor -p**2/2 + 71*p/2 + 36.
-(p - 72)*(p + 1)/2
Suppose -2*h**3/7 + 8*h**2/7 + 234*h/7 = 0. What is h?
-9, 0, 13
What is j in j**4/8 + 7*j**3/8 + 9*j**2/8 - 27*j/8 - 27/4 = 0?
-3, 2
Determine p so that p**2/3 - 2288*p/3 + 1308736/3 = 0.
1144
What is h in -18*h**5 + 12*h**4 + 46*h**3 - 16*h**2 - 32*h = 0?
-1, 0, 4/3
Suppose 7*o**4/5 + 9*o**3/5 - 12*o**2/5 - 4*o/5 = 0. Calculate o.
-2, -2/7, 0, 1
Factor 4*a**5 + 52*a**4 + 132*a**3 - 308*a**2 - 392*a.
4*a*(a - 2)*(a + 1)*(a + 7)**2
What is k in k**5/3 + 14*k**4/3 - 49*k**3/3 + 34*k**2/3 = 0?
-17, 0, 1, 2
Determine a, given that -a**5/2 + 25*a**4/2 - 221*a**3/2 + 827*a**2/2 - 639*a + 324 = 0.
1, 2, 4, 9
Find v such that -v**3/5 + 7*v**2/5 - 7*v/5 - 3 = 0.
-1, 3, 5
Find i such that 5*i**5 - 30*i**4 - 45*i**3 + 70*i**2 = 0.
-2, 0, 1, 7
What is t in 2*t**3/3 + 16*t**2 - 218*t/3 + 56 = 0?
-28, 1, 3
Find s such that -18*s**5/7 + 618*s**4/7 - 3548*s**3/7 - 29908*s**2/7 - 46610*s/7 - 20886/7 = 0.
-3, -1, 59/3
Determine q so that q**5 - 65*q**4 + 127*q**3 - 63*q**2 = 0.
0, 1, 63
Find u, given that u**3/4 - 4*u**2 + 41*u/4 - 13/2 = 0.
1, 2, 13
Factor -v**4 + 65*v**3 - 1149*v**2 + 3007*v - 1922.
-(v - 31)**2*(v - 2)*(v - 1)
Factor 2*i**3/9 - 2*i**2/3 - 4*i/3 + 16/9.
2*(i - 4)*(i - 1)*(i + 2)/9
Factor -2*t**5 - 472*t**4 + 1428*t**3 - 1432*t**2 + 478*t.
-2*t*(t - 1)**3*(t + 239)
Determine h so that -3*h**2/4 - 21*h + 87/4 = 0.
-29, 1
Factor y**5 + 8*y**4 + 25*y**3 + 38*y**2 + 28*y + 8.
(y + 1)**2*(y + 2)**3
Factor 5*f**2 + 80*f + 320.
5*(f + 8)**2
Factor -2*m**2/13 - 68*m/13 + 144/13.
-2*(m - 2)*(m + 36)/13
Solve 4*l**5 - 104*l**4 - 108*l**3 = 0.
-1, 0, 27
Factor 4*j**3 + 8*j**2 - 28*j + 16.
4*(j - 1)**2*(j + 4)
Factor 3*a**5/7 - 57*a**4/7 + 417*a**3/7 - 1455*a**2/7 + 2400*a/7 - 1500/7.
3*(a - 5)**3*(a - 2)**2/7
Factor s**2/4 + 475*s/2 + 225625/4.
(s + 475)**2/4
What is g in 4*g**4/7 - 64*g**3/7 + 60*g**2/7 = 0?
0, 1, 15
What is l in 5*l**3 + 120*l**2 + 825*l + 1210 = 0?
-11, -2
Factor -727609*l**2 + 3412*l - 4.
-(853*l - 2)**2
Let 3*o**2/4 - 2685*o/4 - 4041/2 = 0. What is o?
-3, 898
Factor -4*g**2/9 + 124*g/9.
-4*g*(g - 31)/9
Factor 3*f**4/2 - 432*f**3 + 30669*f**2 + 62640*f + 63075/2.
3*(f - 145)**2*(f + 1)**2/2
Determine w so that 2*w**3 + 16*w**2 + 26*w + 12 = 0.
-6, -1
Solve 48*g**4 + 52*g**3 - 380*g**2 - 608*g - 48 = 0.
-2, -1/12, 3
Factor 3*s**5 - 12*s**4 - 9*s**3 + 102*s**2 - 156*s + 72.
3*(s - 2)**3*(s - 1)*(s + 3)
Let -5*k**3/2 - 320*k**2 - 1265*k/2 - 315 = 0. Calculate k.
-126, -1
Factor -f**2 + 6*f - 5.
-(f - 5)*(f - 1)
What is k in 2*k**2/9 + 388*k/9 + 18818/9 = 0?
-97
Find c such that -3*c**5/2 - 24*c**4 - 42*c**3 = 0.
-14, -2, 0
Suppose 3*c**5 + 6*c**4 + 3*c**3 = 0. What is c?
-1, 0
Factor r**3/2 - 573*r**2/2 + 109443*r/2 - 6967871/2.
(r - 191)**3/2
Suppose 4*a**4 - 899*a**3 - 225*a**2 = 0. What is a?
-1/4, 0, 225
Factor o**2/5 + 679*o/5 - 684.
(o - 5)*(o + 684)/5
Find u, given that -2*u**4 + 18*u**3 - 32*u**2 - 72*u + 160 = 0.
-2, 2, 4, 5
Find x such that 5*x**2/2 - 55*x/2 - 525 = 0.
-10, 21
Suppose w**2 + 225*w = 0. What is w?
-225, 0
Factor -2*b**2/3 + 44*b - 256/3.
-2*(b - 64)*(b - 2)/3
Suppose -4*f**2 + 91*f + 23 = 0. What is f?
-1/4, 23
Determine u so that -5*u**3 - 28*u**2 - 28*u + 16 = 0.
-4, -2, 2/5
What is w in w**5/3 + w**4/3 - 2*w**3/3 = 0?
-2, 0, 1
Solve v**5/4 - v**4/2 - 13*v**3/4 - 5*v**2/2 = 0.
-2, -1, 0, 5
Factor -5*b**2 + 170*b + 360.
-5*(b - 36)*(b + 2)
Factor 3*v**2/5 + 726*v/5.
3*v*(v + 242)/5
Factor -j**4/2 - 3*j**3 - 13*j**2/2 - 6*j - 2.
-(j + 1)**2*(j + 2)**2/2
Solve 3*g**5/4 + 24*g**4 - 3627*g**3/4 + 8706*g**2 - 29712*g + 21888 = 0.
-57, 1, 8
Factor 5*s**4/7 - 33*s**3/7 - 2*s**2.
s**2*(s - 7)*(5*s + 2)/7
Find q, given that -q**4/6 + q**2/3 - 1/6 = 0.
-1, 1
Suppose -f**4/4 + 4*f**3 + 75*f**2/4 + 49*f/2 + 10 = 0. What is f?
-2, -1, 20
Factor 2*y**2 + 140*y + 882.
2*(y + 7)*(y + 63)
What is h in -2*h**5 + 2*h**4 + 24*h**3 + 8*h**2 - 32*h = 0?
-2, 0, 1, 4
What is f in -5*f**2 - 20*f - 15 = 0?
-3, -1
Suppose -2*l**3 + 26*l**2 + 32*l - 416 = 0. Calculate l.
-4, 4, 13
Factor -2*l**2/19 + 7108*l/19 + 7110/19.
-2*(l - 3555)*(l + 1)/19
Suppose 529*w**3/9 - 322*w**2/3 - 20*w - 8/9 = 0. Calculate w.
-2/23, 2
Find x, given that -x**3/4 - 5*x**2/2 + 53*x/4 - 21/2 = 0.
-14, 1, 3
Factor -r**3/6 + r**2/6 + 2*r/3 - 2/3.
-(r - 2)*(r - 1)*(r + 2)/6
Factor -5*n**2 + 15*n + 540.
-5*(n - 12)*(n + 9)
Solve -33*x**5 + 435*x**4 - 1761*x**3 + 1461*x**2 + 3090*x - 600 = 0 for x.
-1, 2/11, 4, 5
Suppose -3*t**4/2 + 5*t**3 + 43*t**2/2 - 77*t + 52 = 0. Calculate t.
-4, 1, 2, 13/3
Factor -r**2/4 - 11*r/4 + 3.
-(r - 1)*(r + 12)/4
Factor -h**2 - 8874*h - 19686969.
-(h + 4437)**2
Find q, given that 4*q**5 - 576*q**4 + 25272*q**3 - 326592*q**2 + 1285956*q = 0.
0, 9, 63
Factor 2*c**5 - 10*c**4 + 6*c**3 + 10*c**2 - 8*c.
2*c*(c - 4)*(c - 1)**2*(c + 1)
Factor 2*f**3/3 + 104*f**2/3 + 818*f/3 - 308.
2*(f - 1)*(f + 11)*(f + 42)/3
Suppose -2*m**2 - 144*m - 2592 = 0. What is m?
-36
Let b**4 - 4*b**3 - 7*b**2 + 34*b - 24 = 0. What is b?
-3, 1, 2, 4
Factor -g**2 + 1892*g/3 + 631/3.
-(g - 631)*(3*g + 1)/3
Suppose -3*k**3 + 33*k**2 + 3*k - 33 = 0. What is k?
-1, 1, 11
Find c such that -5*c**2 + 1450*c - 105125 = 0.
145
Factor -5*b**4 + 10*b**3 + 120*b**2 - 160*b - 640.
-5*(b - 4)**2*(b + 2)*(b + 4)
Solve 5*u**3 - 425*u**2 + 8815*u + 9245 = 0.
-1, 43
Suppose 13718*s**5 + 106134*s**4 + 43396*s**3 - 177952*s**2 + 92928*s - 14336 = 0. Calculate s.
-7, -2, 8/19
Suppose -16384*y**3 + 21504*y**2 - 9408*y + 1372 = 0