*2/9 + 8*l/9 - 2/3 = 0 for l.
-1, 1, 3
What is s in 3*s**4 - 240*s**3/7 + 612*s**2/7 - 240*s/7 - 384/7 = 0?
-4/7, 2, 8
Find l such that 20*l**5 + 496*l**4 - 120*l**3 - 496*l**2 + 100*l = 0.
-25, -1, 0, 1/5, 1
Determine z so that -15*z**5/2 + 69*z**4/2 + 15*z**3 = 0.
-2/5, 0, 5
Factor -y**2 - 2898*y - 2099601.
-(y + 1449)**2
Find h such that -2*h**4 - 10*h**3 + 28*h**2 + 72*h - 144 = 0.
-6, -3, 2
Factor 2*l**4 - 4*l**3 - 358*l**2 + 360*l + 16200.
2*(l - 10)**2*(l + 9)**2
What is v in -10*v**3 - 75*v**2 - 95*v - 30 = 0?
-6, -1, -1/2
Factor b**5/4 + 439*b**4/4 + 2179*b**3/4 + 3913*b**2/4 + 760*b + 217.
(b + 1)**3*(b + 2)*(b + 434)/4
Factor -11*i**2/2 + 107*i - 192.
-(i - 2)*(11*i - 192)/2
Factor 2*v**5/7 + 48*v**4/7 + 172*v**3/7 + 248*v**2/7 + 162*v/7 + 40/7.
2*(v + 1)**4*(v + 20)/7
Determine x so that x**4 + 4*x**3 + 5*x**2 + 2*x = 0.
-2, -1, 0
Determine m so that m**5/4 - 11*m**4/4 + 45*m**3/4 - 85*m**2/4 + 37*m/2 - 6 = 0.
1, 2, 3, 4
Suppose -3*f**3/5 - 18*f**2/5 - 36*f/5 - 24/5 = 0. Calculate f.
-2
Factor 9*c**3/4 + 109*c**2/2 - 3417*c/4 - 385/2.
(c - 11)*(c + 35)*(9*c + 2)/4
Factor 4*q**4 + 44*q**3 - 104*q**2.
4*q**2*(q - 2)*(q + 13)
Find c, given that 5*c**2/4 - 6385*c/2 + 12765/4 = 0.
1, 2553
Determine k, given that -k**3 + 65*k**2 + 272*k + 276 = 0.
-2, 69
Factor 3*p**4 + 312*p**3 + 8418*p**2 + 15912*p + 7803.
3*(p + 1)**2*(p + 51)**2
Solve 9*a**4 - 33*a**3 - 24*a**2 + 48*a = 0 for a.
-4/3, 0, 1, 4
Suppose -5*c**4 + 165*c**3 + 530*c**2 + 360*c = 0. Calculate c.
-2, -1, 0, 36
Let 12*l**5 + 40*l**4 - 60*l**3 - 360*l**2 - 400*l - 96 = 0. What is l?
-2, -1/3, 3
Let 12*b**2 - 320*b - 108 = 0. What is b?
-1/3, 27
Solve -2*i**2/7 + 20*i/7 + 48/7 = 0 for i.
-2, 12
Factor b**4 + 6*b**3 + 8*b**2 - 6*b - 9.
(b - 1)*(b + 1)*(b + 3)**2
Factor 2*y**2/13 + 8*y/13.
2*y*(y + 4)/13
Factor -2*v**4 + 118*v**3.
-2*v**3*(v - 59)
Factor -g**3 - 17*g**2 + 41*g + 57.
-(g - 3)*(g + 1)*(g + 19)
Factor -5*u**3/2 - 86*u**2 - 34*u.
-u*(u + 34)*(5*u + 2)/2
Find z, given that -z**2/4 - 107*z/2 + 215/4 = 0.
-215, 1
What is h in -2*h**5 - 18*h**4 + 26*h**3 + 50*h**2 - 96*h + 40 = 0?
-10, -2, 1
Factor -3*s**2 + 11*s + 14.
-(s + 1)*(3*s - 14)
Find z, given that z**4 - 12*z**3 - 97*z**2 - 192*z - 108 = 0.
-3, -2, -1, 18
Determine z, given that z**4/7 - 102*z**3/7 + 28*z**2 + 408*z/7 - 800/7 = 0.
-2, 2, 100
Factor 2*b**2/3 + 5470*b/9 - 608/3.
2*(b + 912)*(3*b - 1)/9
What is h in -h**2/2 - 99*h - 9801/2 = 0?
-99
Let -3*j**5 + 213*j**4 - 5166*j**3 + 45402*j**2 - 58719*j - 109503 = 0. What is j?
-1, 3, 23
Find t such that 25*t**3 + 1310*t**2 + 520*t = 0.
-52, -2/5, 0
Let -p**2 - 57*p = 0. Calculate p.
-57, 0
Factor -3*s**4/4 + s**3/4 + 27*s**2/4 - 9*s/4.
-s*(s - 3)*(s + 3)*(3*s - 1)/4
Factor 5*d**2 + 500*d.
5*d*(d + 100)
Suppose -2*r**4/9 - 8*r**3/9 + 8*r**2/3 = 0. Calculate r.
-6, 0, 2
Factor 5*r**2 + 12580*r + 7912820.
5*(r + 1258)**2
What is z in 5*z**3 - 20*z = 0?
-2, 0, 2
Factor -2*u**3 + 714*u**2 - 84966*u + 3370318.
-2*(u - 119)**3
Factor b**3/4 + 5*b**2/4 + 3*b/2.
b*(b + 2)*(b + 3)/4
What is s in -1004*s**2 - 996*s + 8 = 0?
-1, 2/251
Factor 147*m**3/5 - 4494*m**2/5 + 2532*m/5 - 72.
3*(m - 30)*(7*m - 2)**2/5
Factor -d**4/4 + 131*d**3/4 - 4087*d**2/4 - 13467*d/4.
-d*(d - 67)**2*(d + 3)/4
Factor 2*z**3/13 + 154*z**2/13 - 1568*z/13 - 219520/13.
2*(z - 35)*(z + 56)**2/13
Determine u, given that -32*u**2/9 + 1744*u/9 - 23762/9 = 0.
109/4
Suppose 70*o**4/9 + 38*o**3/9 + 4*o**2/9 = 0. Calculate o.
-2/5, -1/7, 0
Determine h, given that 3*h**4 + 42*h**3 + 171*h**2 + 108*h - 324 = 0.
-6, -3, 1
Find j such that -2*j**4/7 + 8*j**3/7 + 2*j**2 - 44*j/7 - 48/7 = 0.
-2, -1, 3, 4
Factor u**2 + 152*u + 5776.
(u + 76)**2
Factor 2*v**5 + 24*v**4 - 158*v**3 + 212*v**2 + 120*v - 272.
2*(v - 2)**3*(v + 1)*(v + 17)
What is l in 3*l**4/5 + 42*l**3/5 + 69*l**2/5 - 42*l/5 - 72/5 = 0?
-12, -2, -1, 1
Find g, given that -60*g**5 + 7491*g**4 - 221589*g**3 - 771438*g**2 - 88320*g + 73728 = 0.
-3, -2/5, 1/4, 64
Let -2*p**2 + 342*p - 1980 = 0. What is p?
6, 165
Factor -4*z**2 - 55104*z - 189778176.
-4*(z + 6888)**2
Factor -2*h**5/3 + 4*h**3/3 - 2*h/3.
-2*h*(h - 1)**2*(h + 1)**2/3
Solve 5*m**2 - 1255*m - 1260 = 0.
-1, 252
Suppose 6*s**4 + 423*s**3 + 210*s**2 = 0. Calculate s.
-70, -1/2, 0
Factor i**2/5 + 56*i/5 + 11.
(i + 1)*(i + 55)/5
Factor 2*k**3/3 + 94*k**2/9 - 16*k - 136/9.
2*(k - 2)*(k + 17)*(3*k + 2)/9
Factor -3*d**2 + 78*d - 432.
-3*(d - 18)*(d - 8)
Let 4*u**2 - 2200*u = 0. What is u?
0, 550
Factor 3*c**2 - 66*c.
3*c*(c - 22)
Factor -2*f**2/7 + 2*f/7 + 12.
-2*(f - 7)*(f + 6)/7
Solve -3*h**5 - 6*h**4 + 60*h**3 + 120*h**2 - 192*h - 384 = 0 for h.
-4, -2, 2, 4
Factor 2*n**2/9 - 776*n/3.
2*n*(n - 1164)/9
Factor -2*a**3/9 + 4*a**2/9 + 2*a/3.
-2*a*(a - 3)*(a + 1)/9
Solve -12*l**4 + 15332*l**3 - 25528*l**2 + 10208*l = 0.
0, 2/3, 1, 1276
Factor -r**3/4 - r**2/2 + 19*r/4 + 5.
-(r - 4)*(r + 1)*(r + 5)/4
Solve 3*b**3 - 177*b**2 + 510*b - 336 = 0 for b.
1, 2, 56
Let 2*z**3/9 - 112*z**2/9 + 1568*z/9 = 0. What is z?
0, 28
Factor 5*g**4 + 15*g**3 + 5*g**2 - 15*g - 10.
5*(g - 1)*(g + 1)**2*(g + 2)
Factor 4*q**4/5 - 48*q**3/5 + 16*q**2 + 768*q/5 - 2304/5.
4*(q - 6)**2*(q - 4)*(q + 4)/5
Factor 3*y**2/2 + 57*y.
3*y*(y + 38)/2
Factor 14*j**2/3 + 216*j + 184/3.
2*(j + 46)*(7*j + 2)/3
Suppose -5*t**4/3 - 85*t**3/3 + 95*t**2 - 295*t/3 + 100/3 = 0. Calculate t.
-20, 1
Let -h**2/2 - 4*h - 7/2 = 0. Calculate h.
-7, -1
Factor i**4/6 + 5*i**3/2 + 41*i**2/3 + 32*i + 80/3.
(i + 2)*(i + 4)**2*(i + 5)/6
Let 2*s**2/3 + 2612*s/3 + 3472 = 0. What is s?
-1302, -4
Determine u so that -2*u**4/5 + 84*u**3/5 - 192*u**2 + 320*u = 0.
0, 2, 20
Factor z**3 + 69*z**2/2 - 35*z/2.
z*(z + 35)*(2*z - 1)/2
Suppose 5*o**5 + 90*o**4 + 485*o**3 + 720*o**2 + 320*o = 0. What is o?
-8, -1, 0
Determine v, given that v**5/2 + 11*v**4/2 + 7*v**3/2 - 35*v**2/2 - 26*v - 10 = 0.
-10, -1, 2
Find p, given that p**4/4 - 43*p**3/4 + 41*p**2/2 = 0.
0, 2, 41
Factor -10*i**4/13 - 64*i**3/13 - 136*i**2/13 - 96*i/13.
-2*i*(i + 2)**2*(5*i + 12)/13
Factor c**5/6 - 31*c**4/2 - 95*c**3/3 - c**2/3 + 63*c/2 + 95/6.
(c - 95)*(c - 1)*(c + 1)**3/6
Find z, given that -z**2 - 341*z/2 - 85 = 0.
-170, -1/2
Solve 8*w**3 - 1132*w**2 + 564*w = 0 for w.
0, 1/2, 141
Suppose -5*y**3/3 - 305*y**2/3 - 1615*y/3 + 1925/3 = 0. What is y?
-55, -7, 1
Factor -4*j**3/5 + 61*j**2/5 - 3*j.
-j*(j - 15)*(4*j - 1)/5
Factor 3*a**2 - 3*a.
3*a*(a - 1)
Factor -5*b**2 + 170*b - 165.
-5*(b - 33)*(b - 1)
Factor -f**2/2 - 331*f - 109561/2.
-(f + 331)**2/2
Determine y, given that -4*y**4/7 - 148*y**3/7 + 468*y**2/7 - 68*y + 160/7 = 0.
-40, 1
Suppose 4*h**2/7 + 24272*h/7 + 36820624/7 = 0. What is h?
-3034
Factor -234*h**2 - 231*h + 3.
-3*(h + 1)*(78*h - 1)
Determine k, given that -3*k**4 - 285*k**3 - 837*k**2 - 831*k - 276 = 0.
-92, -1
Factor 15*h**2/2 + 21*h/2 + 3.
3*(h + 1)*(5*h + 2)/2
Suppose -3*a**2/4 - 783*a/4 + 393/2 = 0. What is a?
-262, 1
Determine v, given that 2*v**4/11 + 766*v**3/11 + 73726*v**2/11 + 72962*v/11 = 0.
-191, -1, 0
Suppose 2*u**4/13 - 40*u**3/13 + 202*u**2/13 - 20*u = 0. Calculate u.
0, 2, 5, 13
Suppose -s**2/5 + 697*s/5 - 278 = 0. What is s?
2, 695
Suppose 337014*x**2/7 - 12324*x/7 + 338/21 = 0. What is x?
13/711
Let -3*q**5 - q**4 + 11*q**3 + 9*q**2 - 4*q - 4 = 0. Calculate q.
-1, 2/3, 2
Solve -4*f**2 - 40*f - 84 = 0 for f.
-7, -3
Find h such that -4*h**4 - 12*h**3 + 16*h**2 = 0.
-4, 0, 1
Factor -3*h**3 + 21*h**2 - 18*h.
-3*h*(h - 6)*(h - 1)
What is x in -3*x**5/2 - 333*x**4/2 - 7605*x**3/2 + 91821*x**2/2 - 79740*x + 37800 = 0?
-60, 1, 7
Suppose -15*i**4 + 970*i**3 + 1345*i**2 - 1640*i - 660 = 0. What is i?
-2, -1/3, 1, 66
Let -2*g**2/5 - 1574*g/5 + 1576/5 = 0. What is g?
-788, 1
Factor 4*o**3 + 124*o**2 + 320*o - 448.
4*(o - 1)*(o + 4)*(o + 28)
Factor -i**3/10 - 7*i**2/10 - 7*i/5 - 4/5.
-(i + 1)*(i + 2)*(i + 4)/10
Factor 4*v**4/7 - 120*v**3/7 - 256*v**2/7.
4*v**2*(v - 32)*(v + 2)/7
Factor -3*g**4 + 36*g**3 - 96*g**2.
-3*g**2*(g - 8)*(g - 4)
Suppose 11*h**2/2 + 259*h/2 + 69 = 0. Calculate h.
-23, -6/11
Factor 4*u**3/5 - 108*u/5 - 216/5.
4*(u - 6)*(u + 3)**2/5
Solve -3*s**4/8 - 945*s**3/8 - 10137*s**2/8 - 31995*s/8 - 2850 = 0.
-304, -5, -1
Factor -2*h**3/17 - 22*h**2 - 16910*h/17 + 54150/17.
-2*(h - 3)*(h + 95)**2/17
Factor 3*j**3 + 549*j**2 + 3213*j + 4779.
3*(j + 3)**2*(j + 177)
