 -3, 0, 3
Factor -67*g**2/12 - 65*g/12 + 1/6.
-(g + 1)*(67*g - 2)/12
What is a in 3*a**4 - 72*a**3 + 576*a**2 - 1536*a = 0?
0, 8
Determine v so that -2*v**3 + 2422*v**2 - 4838*v + 2418 = 0.
1, 1209
Suppose -4*c**2/9 - 184*c/3 - 2116 = 0. Calculate c.
-69
Factor t**3/4 - 4497*t**2/4 + 6741003*t/4 - 3368254499/4.
(t - 1499)**3/4
Let -100*z**5/3 - 292*z**4/3 + 308*z**3 + 876*z**2 - 72*z = 0. What is z?
-3, 0, 2/25, 3
Suppose v**4 - 3*v**3 + v**2 + 3*v - 2 = 0. What is v?
-1, 1, 2
Find l, given that 2*l**2 - 1390*l + 1388 = 0.
1, 694
Find y such that -676*y**5 + 1209*y**4 + 2356*y**3 + 354*y**2 - 144*y - 27 = 0.
-1, -3/13, 1/4, 3
Determine k, given that k**3/9 - k**2 - k/9 + 1 = 0.
-1, 1, 9
Suppose 4*r**5 + 3456*r**4 + 743012*r**3 - 1513736*r**2 - 2972112*r + 5999648 = 0. Calculate r.
-433, -2, 2
Factor -3*z**3/5 - 297*z**2/5 - 9801*z/5 - 107811/5.
-3*(z + 33)**3/5
Let t**5/5 - t**4 - 12*t**3/5 + 36*t**2/5 = 0. Calculate t.
-3, 0, 2, 6
Find t, given that 4*t**3 - 388*t**2 = 0.
0, 97
Determine l so that -l**2 - 626*l - 97969 = 0.
-313
Suppose 4*o**3 - 68*o**2 - 552*o = 0. Calculate o.
-6, 0, 23
Factor -16*j**3 + 1796*j**2 - 2224*j + 444.
-4*(j - 111)*(j - 1)*(4*j - 1)
Suppose k**2/3 + 31*k/3 - 104 = 0. Calculate k.
-39, 8
Determine a so that 2*a**3/15 - 14*a**2/15 - 12*a/5 = 0.
-2, 0, 9
Solve -27*i**3/7 - 72720*i**2/7 - 96924*i/7 - 32304/7 = 0 for i.
-2692, -2/3
Factor -w**4 + 4*w**3 + 27*w**2 + 38*w + 16.
-(w - 8)*(w + 1)**2*(w + 2)
Factor -3*x**2/2 - 939*x/2 + 945.
-3*(x - 2)*(x + 315)/2
Factor -2*j**4 + 18*j**3 + 66*j**2 + 70*j + 24.
-2*(j - 12)*(j + 1)**3
Factor 2*n**3 - 390*n**2 + 19584*n - 55296.
2*(n - 96)**2*(n - 3)
Determine n, given that n**3/4 - n**2/2 - 35*n/4 = 0.
-5, 0, 7
What is h in 4*h**2 - 8472*h + 4485924 = 0?
1059
Solve -i**2/4 - 760*i - 577600 = 0.
-1520
Factor 2*y**3/15 + 794*y**2/15.
2*y**2*(y + 397)/15
Factor r**4/9 + 4*r**3/9.
r**3*(r + 4)/9
Solve -a**2/4 + 167*a/8 - 83/8 = 0.
1/2, 83
Factor -g**4 - g**3 + 15*g**2 + 9*g - 54.
-(g - 3)*(g - 2)*(g + 3)**2
Let -3*a**2/5 + 588*a + 2943/5 = 0. Calculate a.
-1, 981
Let -2*p**4/9 + 2*p**3/9 + 8*p**2/9 - 8*p/9 = 0. Calculate p.
-2, 0, 1, 2
Solve -24*v**3 + 676*v**2 + 3848*v - 660 = 0.
-5, 1/6, 33
Factor 60*y**4 - 6535*y**3 - 545*y**2.
5*y**2*(y - 109)*(12*y + 1)
Solve j**3/3 + 49*j**2 + 2401*j + 117649/3 = 0 for j.
-49
Factor -s**5/8 + s**4 - 3*s**3/2 - s**2/4 + 13*s/8 - 3/4.
-(s - 6)*(s - 1)**3*(s + 1)/8
Factor 5*d**2 + 2295*d + 6840.
5*(d + 3)*(d + 456)
Factor -2*y**2/3 - 1004*y/3 - 126002/3.
-2*(y + 251)**2/3
Factor w**4/5 - 22*w**3/5 + 76*w**2/5 - 72*w/5.
w*(w - 18)*(w - 2)**2/5
What is u in -5*u**2 + 85*u - 80 = 0?
1, 16
Factor -g**2/4 + 19*g/2 - 361/4.
-(g - 19)**2/4
Find d such that 4*d**3/5 - 52*d/5 + 48/5 = 0.
-4, 1, 3
Suppose 5*u**3 + 455*u**2 - 460*u = 0. Calculate u.
-92, 0, 1
Determine l, given that -8*l**4 - 38*l**3 - 54*l**2 - 16*l + 8 = 0.
-2, -1, 1/4
Factor -g**5 + 4*g**4 + 16*g**3 - 64*g**2.
-g**2*(g - 4)**2*(g + 4)
Factor v**4/3 + 10*v**3/3 - 11*v**2/3.
v**2*(v - 1)*(v + 11)/3
Determine q, given that -3*q**5 + 62*q**4/5 - 53*q**3/5 - 54*q**2/5 + 68*q/5 - 8/5 = 0.
-1, 2/15, 1, 2
Factor 2*z**3/3 - 2*z**2 - 214*z + 646/3.
2*(z - 19)*(z - 1)*(z + 17)/3
Factor -3*k**2 + 102*k + 105.
-3*(k - 35)*(k + 1)
Factor 553*p**2/3 - 116*p/3 - 4.
(7*p - 2)*(79*p + 6)/3
Determine i so that -5*i**5 - 20*i**4 + 70*i**2 + 85*i + 30 = 0.
-3, -1, 2
Let i**2 + 6*i + 9 = 0. What is i?
-3
Solve 2*r**2/7 + 1976*r/7 + 488072/7 = 0.
-494
Factor 12*t**3 + 61*t**2/5 - 104*t/5 + 28/5.
(t + 2)*(5*t - 2)*(12*t - 7)/5
Factor -f**4/8 - 3*f**3 - 65*f**2/4 - 24*f - 85/8.
-(f + 1)**2*(f + 5)*(f + 17)/8
Solve 4*j**2 + 64*j + 156 = 0.
-13, -3
Solve b**3/4 - 865*b**2/4 - 1733*b/4 - 867/4 = 0 for b.
-1, 867
Find g, given that 4*g**4 - 76*g**3 - 604*g**2 + 76*g + 600 = 0.
-6, -1, 1, 25
Factor -3*o**2 - 183*o + 780.
-3*(o - 4)*(o + 65)
Suppose -y**2/3 - 99*y - 296/3 = 0. Calculate y.
-296, -1
Factor -2*i**4/5 - 8*i**3/5 - 2*i**2 - 4*i/5.
-2*i*(i + 1)**2*(i + 2)/5
Factor -h**3 + 27*h**2 - 168*h - 196.
-(h - 14)**2*(h + 1)
Find t such that 3*t**3 + 309*t**2/2 - 159*t/2 - 78 = 0.
-52, -1/2, 1
Solve 2*d**3 - 10*d**2 - 306*d + 2106 = 0.
-13, 9
Factor 12*r**2 + 8*r - 4.
4*(r + 1)*(3*r - 1)
Factor -3*n**3 - 51*n**2 - 273*n - 441.
-3*(n + 3)*(n + 7)**2
Factor f**5/4 - 7*f**4/4 - 27*f**3/4 - 29*f**2/4 - 5*f/2.
f*(f - 10)*(f + 1)**3/4
Let 4*w**2/3 + 16*w/3 - 128/3 = 0. Calculate w.
-8, 4
Let -4*d**3 + 220*d**2 - 2668*d - 10092 = 0. Calculate d.
-3, 29
Determine f, given that 98*f**4 + 203*f**3 + 141*f**2 + 40*f + 4 = 0.
-1, -1/2, -2/7
Factor 5*h**3 - 5*h.
5*h*(h - 1)*(h + 1)
Solve r**5/6 - r**4 - 6*r**3 - 20*r**2/3 = 0 for r.
-2, 0, 10
Factor r**2/3 - 4*r + 35/3.
(r - 7)*(r - 5)/3
Factor -m**3 - 85*m**2 + 546*m.
-m*(m - 6)*(m + 91)
Factor -2*j**3/5 + 146*j**2/5 - 518*j - 2738/5.
-2*(j - 37)**2*(j + 1)/5
Factor 5*y**3 - 300*y**2 - 935*y - 630.
5*(y - 63)*(y + 1)*(y + 2)
Solve -5*b**3 - 110*b**2 - 295*b - 190 = 0 for b.
-19, -2, -1
Factor -g**2/2 - 983*g/2 + 492.
-(g - 1)*(g + 984)/2
Factor 12*f**2/11 + 2*f - 4/11.
2*(f + 2)*(6*f - 1)/11
What is a in -48*a**5 - 212*a**4 - 252*a**3 - 88*a**2 = 0?
-11/4, -1, -2/3, 0
Factor -p**2 + 5*p + 14.
-(p - 7)*(p + 2)
Factor 2*g**2/11 - 30*g/11 - 368/11.
2*(g - 23)*(g + 8)/11
Find z such that 5*z**4 - 85*z**3 + 500*z**2 - 1140*z + 720 = 0.
1, 4, 6
Factor -2*h**3/3 - 20*h**2/3 + 8*h/3 + 80/3.
-2*(h - 2)*(h + 2)*(h + 10)/3
Factor -r**4 + 22*r**3 - 36*r**2 - 88*r + 160.
-(r - 20)*(r - 2)**2*(r + 2)
Find w such that -2*w**2 + 272*w - 9248 = 0.
68
Factor 2*n**3/19 - 48*n**2/19 + 198*n/19 + 1080/19.
2*(n - 15)*(n - 12)*(n + 3)/19
Factor u**2/3 + 466*u/3 + 54289/3.
(u + 233)**2/3
Suppose 4*l**5/9 + 88*l**4/9 - 8*l**3 - 176*l**2 + 36*l + 792 = 0. Calculate l.
-22, -3, 3
Factor -x**4/4 + 7*x**3/2 - 4*x**2 - 24*x.
-x*(x - 12)*(x - 4)*(x + 2)/4
Factor r**2 - 566*r + 80089.
(r - 283)**2
Suppose 2*k**3/5 - 16*k**2/5 - 18*k/5 = 0. Calculate k.
-1, 0, 9
Let -2*v**2 - 356*v - 704 = 0. Calculate v.
-176, -2
Find g, given that -7*g**5 + 75*g**4 + 379*g**3 - 815*g**2 + 228*g + 140 = 0.
-5, -2/7, 1, 14
Factor -y**4/3 + 10*y**3/3 + y**2/3 - 10*y/3.
-y*(y - 10)*(y - 1)*(y + 1)/3
What is v in 2*v**3/7 - 340*v**2/7 - 98*v - 344/7 = 0?
-1, 172
Factor -94*z**2/5 - 4*z/5.
-2*z*(47*z + 2)/5
Determine t so that -2*t**5/3 + 10*t**4/3 + 62*t**3/3 + 86*t**2/3 + 12*t = 0.
-2, -1, 0, 9
Let -3*k**2 + 5178*k + 10368 = 0. Calculate k.
-2, 1728
Factor 50*t**5/19 - 6490*t**4/19 + 282518*t**3/19 - 4198262*t**2/19 + 3224656*t/19 - 636056/19.
2*(t - 43)**3*(5*t - 2)**2/19
Find g, given that g**4 + 27*g**3 - 378*g**2 + 1472*g - 1824 = 0.
-38, 3, 4
Factor -2*m**5/5 + 4*m**4/5 + 8*m**3/5 - 16*m**2/5.
-2*m**2*(m - 2)**2*(m + 2)/5
Let u**2/4 - 109*u/4 + 105 = 0. Calculate u.
4, 105
Find g, given that g**5/2 + 3*g**4 - 15*g**3/2 - 58*g**2 + 24*g + 288 = 0.
-4, 3
Let 18*u**3/13 - 600*u**2/13 - 406*u/13 - 68/13 = 0. Calculate u.
-1/3, 34
Determine j, given that 3*j**2 - 4773*j + 4770 = 0.
1, 1590
Factor 2*m**3 + 32*m**2 + 40*m - 800.
2*(m - 4)*(m + 10)**2
Factor -v**4 + 134*v**3 + 408*v**2 + 410*v + 137.
-(v - 137)*(v + 1)**3
Factor -18*a**4/13 - 2328*a**3/13 - 76808*a**2/13 - 99328*a/13 - 32768/13.
-2*(a + 64)**2*(3*a + 2)**2/13
Let -20960*j**5/3 - 31376*j**4/3 - 3898*j**3 - 1274*j**2/3 + 4*j/3 = 0. Calculate j.
-1, -1/4, 0, 2/655
Factor 3*f**3/8 - 87*f**2/4 + 585*f/2 + 675.
3*(f - 30)**2*(f + 2)/8
Solve 3*w**2 - 39*w = 0 for w.
0, 13
Solve 2*m**4 + 114*m**3 + 112*m**2 = 0.
-56, -1, 0
Let -p**4 - 102*p**3 - 2600*p**2 + 102*p + 2601 = 0. What is p?
-51, -1, 1
Determine h so that -6*h**5 - 17*h**4 - 3*h**3 + 19*h**2 + 9*h - 2 = 0.
-2, -1, 1/6, 1
Factor -5*s**4 - 120*s**3 - 570*s**2 + 2080*s + 2535.
-5*(s - 3)*(s + 1)*(s + 13)**2
Factor -2*r**4 + 171*r**3 - 84*r**2 - 85*r.
-r*(r - 85)*(r - 1)*(2*r + 1)
Factor l**4/3 + 5*l**3/3 + 2*l**2/3 - 8*l/3.
l*(l - 1)*(l + 2)*(l + 4)/3
Factor 3*m**4/5 - 12*m**3/5 - 33*m**2/5 + 198*m/5 - 216/5.
3*(m - 3)**2*(m - 2)*(m + 4)/5
Factor 17*a**3 - 174*a**2 - 147*a + 44.
(a - 11)*(a + 1)*(17*a - 4)
Suppose -b**2 + 165*b - 1550 = 0. What is b?
10, 155
Determine k, given that 5*k**3 - 1140*k**2 + 1135*k = 0.
0, 1, 227
Factor c**3 + 4*c**2 + 5*c + 2.
(c + 1)**2*(c + 2)
Find d, given that 2*d**3 + 42*