**5 - 388*x**4 + 2232*x**3 - 4352*x**2 + 1408*x = 0.
0, 2/5, 4, 11
Determine z, given that 24*z**2/5 + 66*z/5 - 39/5 = 0.
-13/4, 1/2
Factor 5*t**2 - 4035*t.
5*t*(t - 807)
Solve -t**2 + 11*t = 0.
0, 11
Find n such that 5*n**5 - 35*n**4 - 225*n**3 + 2375*n**2 - 5000*n = 0.
-8, 0, 5
Let 3*j**4 + 174*j**3 + 1368*j**2 + 2130*j - 3675 = 0. Calculate j.
-49, -5, 1
Suppose -2*r**4/5 + 14*r**3/5 + 4*r**2 - 152*r/5 - 48 = 0. Calculate r.
-2, 5, 6
Factor -5*m**4 + 65*m**3 - 160*m**2 - 560*m + 1920.
-5*(m - 8)*(m - 4)**2*(m + 3)
Factor -w**3/2 + 35*w**2/2 - 112*w - 130.
-(w - 26)*(w - 10)*(w + 1)/2
Solve -3*q**3 + 119*q**2 + 582*q - 440 = 0.
-5, 2/3, 44
Factor -35*v**3 + 270*v**2 + 395*v + 90.
-5*(v - 9)*(v + 1)*(7*v + 2)
Factor -2*t**3 - 2*t**2 + 28*t + 48.
-2*(t - 4)*(t + 2)*(t + 3)
Factor -3*j**3 - 429*j**2 - 1653*j + 2085.
-3*(j - 1)*(j + 5)*(j + 139)
Find m such that m**2/3 + 10*m/3 + 8 = 0.
-6, -4
Find g, given that 2*g**2/3 - 14*g/3 - 12 = 0.
-2, 9
Determine k, given that -2*k**2/21 - 3356*k/3 - 9854894/3 = 0.
-5873
Factor 3*z**2 - 18*z + 27.
3*(z - 3)**2
Factor -117*k**3 - 579*k**2/5 + 6*k/5.
-3*k*(k + 1)*(195*k - 2)/5
Determine a, given that 3*a**2 + 1260*a + 132300 = 0.
-210
Factor -2*s**2/3 + 118*s + 356/3.
-2*(s - 178)*(s + 1)/3
Factor z**5 - 2*z**4 + 2*z**2 - z.
z*(z - 1)**3*(z + 1)
Suppose 2*n**3/11 - 64*n**2/11 - 210*n/11 = 0. Calculate n.
-3, 0, 35
Factor 5*v**5 - 80*v**4 + 495*v**3 - 1460*v**2 + 2000*v - 960.
5*(v - 4)**3*(v - 3)*(v - 1)
Factor -u**3/3 + 17*u**2/3 + 37*u/3 + 19/3.
-(u - 19)*(u + 1)**2/3
Factor 2*h**2/7 - 9370*h/21 - 3124/21.
2*(h - 1562)*(3*h + 1)/21
Factor o**3 - 588*o**2 - 1771*o - 1182.
(o - 591)*(o + 1)*(o + 2)
Factor g**2/4 + 4847*g/2 + 23493409/4.
(g + 4847)**2/4
Suppose -220*d**4 - 172*d**3 + 196*d**2 + 172*d + 24 = 0. Calculate d.
-1, -3/5, -2/11, 1
Let -4*m**5 + 52*m**4/3 - 44*m**3/3 - 20*m**2/3 + 8*m = 0. Calculate m.
-2/3, 0, 1, 3
Factor -3*v**3/2 - 543*v**2.
-3*v**2*(v + 362)/2
Factor 2*o**3/3 - 24*o**2 + 70*o/3.
2*o*(o - 35)*(o - 1)/3
Suppose -b**2/3 + 55*b/3 = 0. What is b?
0, 55
Find k such that -3*k**5 + 15*k**4 - 3*k**3 - 39*k**2 + 6*k + 24 = 0.
-1, 1, 2, 4
What is q in -q**3 + 78*q**2 - 365*q = 0?
0, 5, 73
Find y such that -2*y**3 + 402*y**2 - 396*y - 800 = 0.
-1, 2, 200
Factor -2*o**4 - 162*o**3 + 1764*o**2 - 5048*o + 4368.
-2*(o - 6)*(o - 2)**2*(o + 91)
Factor -3*r**3/8 + 2733*r**2/8 - 623805*r/8 + 621075/8.
-3*(r - 455)**2*(r - 1)/8
Find m, given that -10*m**5 + 95*m**4 - 310*m**3 + 380*m**2 - 40*m - 160 = 0.
-1/2, 2, 4
Factor -s**4/4 - 3*s**3 - 9*s**2.
-s**2*(s + 6)**2/4
Factor -2*w**2/21 - 428*w/3 - 160286/3.
-2*(w + 749)**2/21
Let 5*u**3 - 50*u**2 - 5*u + 50 = 0. Calculate u.
-1, 1, 10
Factor -i**2/3 - 27*i + 82/3.
-(i - 1)*(i + 82)/3
Let -3*x**5 - 24*x**4 - 48*x**3 = 0. Calculate x.
-4, 0
Solve f**5/8 + 65*f**4/4 - 397*f**3/8 + 133*f**2/4 = 0 for f.
-133, 0, 1, 2
Solve -i**4/2 - 13*i**3/2 - 30*i**2 - 58*i - 40 = 0 for i.
-5, -4, -2
Let 5*i**2 - 2015*i - 2020 = 0. What is i?
-1, 404
Factor i**4/5 + 81*i**3/5 + 1824*i**2/5 + 1444*i.
i*(i + 5)*(i + 38)**2/5
Let -3*m**3 - 186*m**2 + 393*m + 576 = 0. What is m?
-64, -1, 3
Let k**4 + 15*k**3/4 - 13*k**2 + 3*k = 0. What is k?
-6, 0, 1/4, 2
Find l, given that 2*l**5/19 - 10*l**3/19 + 8*l/19 = 0.
-2, -1, 0, 1, 2
Factor 2*p**3 + 14*p**2 + 32*p + 24.
2*(p + 2)**2*(p + 3)
Factor -x**3/2 + x**2 + 21*x/2 + 9.
-(x - 6)*(x + 1)*(x + 3)/2
Determine c so that -6*c**3/13 - 4*c**2 + 22*c/13 + 36/13 = 0.
-9, -2/3, 1
Let -b**3/6 + 2*b**2/3 + 11*b/6 + 1 = 0. What is b?
-1, 6
Find z, given that 4*z**3 + 420*z**2 + 10368*z - 34992 = 0.
-54, 3
Determine b so that -4*b**4 + 252*b**3 - 5032*b**2 + 31824*b - 27040 = 0.
1, 10, 26
What is r in 3*r**4 + 23*r**3 + 59*r**2 + 57*r + 18 = 0?
-3, -1, -2/3
What is u in u**3 - 47*u**2 - 48*u = 0?
-1, 0, 48
Suppose 24*k**4 - 116*k**3 + 180*k**2 - 96*k + 16 = 0. What is k?
1/3, 1/2, 2
Let -5*u**5 - 465*u**4 - 1355*u**3 - 435*u**2 + 1360*u + 900 = 0. Calculate u.
-90, -2, -1, 1
Find l such that -5*l**5 + 80*l**4 + 195*l**3 - 4590*l**2 - 8640*l + 12960 = 0.
-6, -3, 1, 12
Find h, given that h**2 - 440*h + 48400 = 0.
220
Determine m, given that 2197*m**5 - 7267*m**4 + 3055*m**3 + 4707*m**2 + 1296*m + 108 = 0.
-3/13, 2
Determine m, given that 2*m**3 + 148*m**2 - 302*m + 152 = 0.
-76, 1
Factor -5*u**4/2 - 22640*u**3 - 76885440*u**2 - 116045757440*u - 65681898711040.
-5*(u + 2264)**4/2
Suppose -240*q**2 + 118*q + 28 = 0. Calculate q.
-7/40, 2/3
Determine j so that -2*j**4 - 86*j**3/5 + 736*j**2/5 - 56*j = 0.
-14, 0, 2/5, 5
Factor 5*i**5 + 35*i**4 + 30*i**3.
5*i**3*(i + 1)*(i + 6)
Factor -2*c**3/3 + c**2/3 + 6*c - 3.
-(c - 3)*(c + 3)*(2*c - 1)/3
Suppose 5*a**3 - 125*a**2 + 1035*a - 2835 = 0. What is a?
7, 9
Factor 2*u**5 + 10*u**4 - 6*u**3 - 34*u**2 - 20*u.
2*u*(u - 2)*(u + 1)**2*(u + 5)
What is p in 9*p**4 + 177*p**3 + 564*p**2 + 588*p + 192 = 0?
-16, -2, -1, -2/3
Factor -5*b**3 - 8345*b**2 + 5*b + 8345.
-5*(b - 1)*(b + 1)*(b + 1669)
Factor -g**2 - 7*g + 18.
-(g - 2)*(g + 9)
Factor 2*c**2/9 + 26*c/3 - 2204/9.
2*(c - 19)*(c + 58)/9
Determine i, given that 4*i**4 - 148*i**2 + 336*i = 0.
-7, 0, 3, 4
Solve 4*x**2 + 26472*x + 43797924 = 0 for x.
-3309
Find q, given that -4*q**5 + 156*q**4 - 1740*q**3 + 4324*q**2 - 4032*q + 1296 = 0.
1, 18
Factor 5*t**4 + 30*t**3 - 675*t**2 - 4860*t.
5*t*(t - 12)*(t + 9)**2
Let -u**2/4 + 31*u - 961 = 0. What is u?
62
Solve 2738*n**3/9 + 666*n**2 + 1408*n/3 + 968/9 = 0.
-1, -22/37
Factor -a**5/3 - 35*a**4/3 - 142*a**3 - 1958*a**2/3 - 1573*a/3 + 1331.
-(a - 1)*(a + 3)*(a + 11)**3/3
Factor f**2/5 + 34*f + 169/5.
(f + 1)*(f + 169)/5
Solve 10*a**5 - 56*a**4 + 26*a**3 + 20*a**2 = 0.
-2/5, 0, 1, 5
Factor 2*j**2/5 + 37*j/5 - 12.
(j + 20)*(2*j - 3)/5
Find j such that 27*j**5 - 552*j**4/7 - 51*j**3/7 + 774*j**2/7 + 60*j/7 - 24/7 = 0.
-1, -2/9, 1/7, 2
Let 2*s**5/7 - 8*s**4/7 - 40*s**3/7 - 20*s**2/7 + 38*s/7 + 4 = 0. Calculate s.
-2, -1, 1, 7
Solve p**4 - 4*p**3 + 3*p**2 = 0.
0, 1, 3
Determine f so that -3*f**4 + 87*f**3 + 1002*f**2 + 912*f = 0.
-8, -1, 0, 38
Find q such that -120*q**3 + 635*q**2 - 570*q - 765 = 0.
-17/24, 3
Find h such that 4*h**5 - 28*h**4 - 740*h**3 - 3028*h**2 - 4448*h - 2128 = 0.
-7, -2, -1, 19
Solve o**5/11 - o**4/11 - 16*o**3/11 - 20*o**2/11 = 0.
-2, 0, 5
Factor q**4/6 + 203*q**3/6 - 205*q**2/6 - 203*q/6 + 34.
(q - 1)**2*(q + 1)*(q + 204)/6
What is t in -2*t**3/9 - 2*t**2/9 + 100*t/9 - 32/3 = 0?
-8, 1, 6
Suppose 3*m**5/2 + 9*m**4 - 39*m**3 + 18*m**2 + 75*m/2 - 27 = 0. What is m?
-9, -1, 1, 2
Factor 2*s**3/3 + 26*s**2 - 112*s - 26656/3.
2*(s - 17)*(s + 28)**2/3
Find y, given that -6*y**5/5 + 106*y**4/5 - 42*y**3 - 442*y**2/5 - 24*y = 0.
-1, -1/3, 0, 4, 15
Determine l so that -2*l**2/5 + 34*l/5 = 0.
0, 17
Factor 2*u**4/3 - 12*u**3 - 448*u**2 - 10780*u/3 - 8918.
2*(u - 39)*(u + 7)**3/3
Factor -4*g**5 + 16*g**4 + 240*g**3.
-4*g**3*(g - 10)*(g + 6)
Let -5*n**2 - 12650*n - 8001125 = 0. Calculate n.
-1265
Factor 2*r**5 - 40*r**4 + 276*r**3 - 728*r**2 + 490*r.
2*r*(r - 7)**2*(r - 5)*(r - 1)
Factor 3*l**2 - 60*l.
3*l*(l - 20)
Factor 2*j**3/13 + 10962*j**2/13 + 15026160*j/13 + 15015200/13.
2*(j + 1)*(j + 2740)**2/13
Factor -l**5 - 8*l**4 - 24*l**3 - 34*l**2 - 23*l - 6.
-(l + 1)**3*(l + 2)*(l + 3)
Factor -3*i**3 + 222*i**2 - 3876*i - 8664.
-3*(i - 38)**2*(i + 2)
Factor -u**2 - 112*u - 832.
-(u + 8)*(u + 104)
Let 3*o**4/8 - 261*o**3/8 - 33*o**2 = 0. What is o?
-1, 0, 88
Determine o so that 17*o**3 - 409*o**2/2 + 346*o - 10 = 0.
1/34, 2, 10
Factor -j**2/4 + 15*j/2 - 225/4.
-(j - 15)**2/4
Factor -3*b**2/2 - 186*b - 5766.
-3*(b + 62)**2/2
Suppose 2*j**3 - 32*j**2 + 130*j - 100 = 0. What is j?
1, 5, 10
Suppose -18*k**2 - 18*k - 4 = 0. Calculate k.
-2/3, -1/3
Factor 42*v**4 - 484*v**3/3 - 80*v**2/3.
2*v**2*(v - 4)*(63*v + 10)/3
What is j in 14*j**3/5 + 24*j**2/5 - 8*j/5 = 0?
-2, 0, 2/7
Find u such that -15*u**5/2 + 33*u**4 - 27*u**3 - 24*u**2 + 69*u/2 - 9 = 0.
-1, 2/5, 1, 3
Solve t**4 + 18*t**3 - 47*t**2 - 144*t - 80 = 0 for t.
-20, -1, 4
Find s, given that 9*s**5/4 + 381*s**4/4 - 1905*s**3/4 + 3195*s**2/4 - 561*s + 141 = 0.
-47, 2/3, 1, 2
Solve t**5 + 138*t**4/5 + 919*t**3/5 - 106*t**2 - 924*t/5 + 392/5 = 0.
-14, -1, 2/5, 1
Factor h**2 - 220*h + 219.
(h - 219)*(h - 1)
Factor 2*w**2/3 + 916*w/3 + 914/3.
2*(w + 1)*(w 