*s**2 + 8*s/3 = 0.
-1, 0, 4
Factor 49*z**5/4 + 56*z**4 + 29*z**3 + 4*z**2.
z**2*(z + 4)*(7*z + 2)**2/4
Factor 2*t**3/5 - 6*t/5 + 4/5.
2*(t - 1)**2*(t + 2)/5
Factor -2*z**4 - 10*z**3 + 178*z**2 - 30*z - 1800.
-2*(z - 5)**2*(z + 3)*(z + 12)
Factor -d**2/3 + 8*d/3.
-d*(d - 8)/3
Find a such that 3*a**2 + 111*a = 0.
-37, 0
Let 128*a**2/11 + 864*a/11 + 1458/11 = 0. What is a?
-27/8
What is u in -u**4/7 - 5*u**3/7 + 32*u**2/7 - 36*u/7 = 0?
-9, 0, 2
What is z in -z**5/5 + z**4 - 3*z**3/5 - z**2 + 4*z/5 = 0?
-1, 0, 1, 4
Factor 42*c**3/5 + 100*c**2 + 1296*c/5 - 128/5.
2*(c + 4)*(c + 8)*(21*c - 2)/5
Factor -a**5/5 + 9*a**4/5 - 26*a**3/5 + 34*a**2/5 - 21*a/5 + 1.
-(a - 5)*(a - 1)**4/5
Let 92*g**2/3 + 61*g/2 - 1/6 = 0. What is g?
-1, 1/184
Find j, given that -j**2/2 + 59*j/2 - 135 = 0.
5, 54
Factor -2*r**4/5 + 2*r**3 + 44*r**2/5 + 32*r/5.
-2*r*(r - 8)*(r + 1)*(r + 2)/5
Factor 5*c**2 - 65*c.
5*c*(c - 13)
Factor -v**3 - 75*v**2 + 154*v.
-v*(v - 2)*(v + 77)
Factor j**5 - j**4 - 6*j**3.
j**3*(j - 3)*(j + 2)
What is r in 2*r**5/7 - 26*r**4/7 - 1754*r**3/7 + 3578*r**2/7 - 1800*r/7 = 0?
-25, 0, 1, 36
Let 2*d**3/11 - 320*d**2/11 - 1304*d/11 - 1312/11 = 0. Calculate d.
-2, 164
Determine d so that d**2/3 + 242*d/3 + 241/3 = 0.
-241, -1
Suppose 2*i**5 - i**4 - 9*i**3 - i**2 + 11*i + 6 = 0. Calculate i.
-1, 3/2, 2
Determine v so that 15*v**3 + 437*v**2 + 1228*v + 156 = 0.
-26, -3, -2/15
Factor t**3/5 + 17*t**2/5 - 22*t.
t*(t - 5)*(t + 22)/5
Factor f**2/6 + f/3 + 1/6.
(f + 1)**2/6
Factor -t**3/3 - 31*t**2/3 + 274*t/3 + 304/3.
-(t - 8)*(t + 1)*(t + 38)/3
Factor -r**3 + 4*r**2 + 9*r - 36.
-(r - 4)*(r - 3)*(r + 3)
Solve 4*y**2 - 180*y - 376 = 0 for y.
-2, 47
Factor 185*w**3 - 7765*w**2 - 16490*w - 440.
5*(w - 44)*(w + 2)*(37*w + 1)
Factor 8*s**3 + 300*s**2 + 436*s + 144.
4*(s + 1)*(s + 36)*(2*s + 1)
What is s in -5*s**5 + 890*s**4 + 945*s**3 - 8990*s**2 + 7160*s = 0?
-4, 0, 1, 2, 179
Factor -3*f**4 + 3*f**3 + 36*f**2.
-3*f**2*(f - 4)*(f + 3)
Solve 4*q**3 + 12*q**2 - 64*q + 48 = 0 for q.
-6, 1, 2
Factor 2*w**2 + 10*w + 12.
2*(w + 2)*(w + 3)
Factor -3*w**2/7 + 9432*w/7 - 7413552/7.
-3*(w - 1572)**2/7
Factor -2*v**2/3 + 286*v/3.
-2*v*(v - 143)/3
Solve -3*u**2 - 612*u = 0 for u.
-204, 0
What is h in -6*h**4 - 38*h**3 - 68*h**2 - 8*h + 48 = 0?
-3, -2, 2/3
Let -5*c**2 + 20*c + 60 = 0. What is c?
-2, 6
Solve 2*l**5/9 + 74*l**4/9 + 566*l**3/9 - 2162*l**2/9 + 2320*l/9 - 800/9 = 0 for l.
-20, 1
Factor -c**3/4 - 13*c**2/2 + 85*c/4 - 29/2.
-(c - 2)*(c - 1)*(c + 29)/4
Factor 5*o**2 + 585*o - 1190.
5*(o - 2)*(o + 119)
Solve -3*l**3 + 96*l**2 - 93*l = 0 for l.
0, 1, 31
Let -3*d**5/2 + 45*d**4/2 - 45*d**3 - 285*d**2 - 675*d/2 - 243/2 = 0. Calculate d.
-1, 9
Let -2*v**4/5 - 22*v**3/5 - 84*v**2/5 - 128*v/5 - 64/5 = 0. What is v?
-4, -2, -1
Factor -2*l**2/7 + 1464*l/7 + 2936/7.
-2*(l - 734)*(l + 2)/7
Find c such that c**3/4 + 595*c**2/2 + 88208*c - 177608 = 0.
-596, 2
Solve -108*w**3 + 237*w**2 - 268*w/3 + 28/3 = 0.
2/9, 7/4
Determine a so that a**4 + 8*a**3 + 21*a**2 + 18*a = 0.
-3, -2, 0
Determine w, given that -w**4/5 - 27*w**3/5 + 4*w**2/5 + 108*w/5 = 0.
-27, -2, 0, 2
Factor -2*i**3/5 + 264*i**2/5 - 262*i/5.
-2*i*(i - 131)*(i - 1)/5
Factor -s**4/3 - 13*s**3/3 - 11*s**2/3 + 13*s/3 + 4.
-(s - 1)*(s + 1)**2*(s + 12)/3
What is z in 4*z**3 - 8*z**2 = 0?
0, 2
Factor -f**4/3 - 17*f**3/3 - 67*f**2/3 - 29*f - 12.
-(f + 1)**2*(f + 3)*(f + 12)/3
Factor h**3/5 - 2973*h**2/5 - 11904*h/5 - 11908/5.
(h - 2977)*(h + 2)**2/5
Factor 2*l**4/7 - 6*l**3/7 - 46*l**2/7 - 66*l/7 - 4.
2*(l - 7)*(l + 1)**2*(l + 2)/7
Solve -2*u**2/3 - 176*u/3 - 3872/3 = 0 for u.
-44
Suppose 8*z**4/13 + 266*z**3/13 - 782*z**2/13 + 28*z + 144/13 = 0. Calculate z.
-36, -1/4, 1, 2
Let -3*w**2 + 78*w - 360 = 0. What is w?
6, 20
Factor 2*n**2 + 4*n - 6.
2*(n - 1)*(n + 3)
Solve 3*i**5 - 204*i**4 + 3651*i**3 - 5718*i**2 - 14652*i + 26136 = 0 for i.
-2, 2, 33
Factor -5*b**5 - 4195*b**4 - 873590*b**3 + 2645990*b**2 - 2654405*b + 886205.
-5*(b - 1)**3*(b + 421)**2
Factor -8*i**3/5 - 28*i**2/5 + 16*i/5.
-4*i*(i + 4)*(2*i - 1)/5
Factor 51*z**2 - 804*z - 192.
3*(z - 16)*(17*z + 4)
Find d, given that -6*d**3/11 + 1148*d**2/11 - 3766*d/11 + 1128/11 = 0.
1/3, 3, 188
Factor 2*n**5/5 + 14*n**4/5 + 6*n**3/5 - 46*n**2/5 - 64*n/5 - 24/5.
2*(n - 2)*(n + 1)**3*(n + 6)/5
Factor -c**5 + c**4 + 2*c**3 - 2*c**2 - c + 1.
-(c - 1)**3*(c + 1)**2
Solve -2*g**2/15 - 182*g/15 = 0.
-91, 0
Factor -125*i**5 + 1300*i**4 - 1440*i**3 - 1186*i**2 - 259*i - 18.
-(i - 9)*(i - 2)*(5*i + 1)**3
Let -f**4/7 - 72*f**3/7 + 547*f**2/7 - 474*f/7 = 0. What is f?
-79, 0, 1, 6
Let 8*o**4 - 114*o**3 - 7268*o**2 + 1824*o = 0. What is o?
-24, 0, 1/4, 38
Factor 6*i**3 + i**2/6.
i**2*(36*i + 1)/6
Factor -m**3/11 - 37*m**2/11 - 70*m/11.
-m*(m + 2)*(m + 35)/11
Suppose 5*h**3 + 20*h**2 + 25*h + 10 = 0. What is h?
-2, -1
Solve z**2 + 773*z + 2310 = 0 for z.
-770, -3
Factor 2*i**4 + 176*i**3 - 2*i**2 - 176*i.
2*i*(i - 1)*(i + 1)*(i + 88)
Suppose 2*k**2 - 214*k - 660 = 0. What is k?
-3, 110
Solve 5*n**3 - 25*n**2 - 30*n = 0.
-1, 0, 6
Factor -2*v**4/9 - 20*v**3/9 - 8*v**2 - 112*v/9 - 64/9.
-2*(v + 2)**3*(v + 4)/9
Factor i**3/7 + 166*i**2/7 - 167*i/7.
i*(i - 1)*(i + 167)/7
Factor 4*m**3/7.
4*m**3/7
Let 2*c**3 - 46*c**2 + 352*c - 896 = 0. Calculate c.
7, 8
Factor 3*r**3 + 129*r**2 + 246*r.
3*r*(r + 2)*(r + 41)
Suppose 2*d**4/5 - 38*d**3/5 + 214*d**2/5 - 322*d/5 + 144/5 = 0. What is d?
1, 8, 9
Factor p**2/4 - 17*p - 69/4.
(p - 69)*(p + 1)/4
Factor -16*n**3/3 + 4244*n**2/3 - 1060*n/3.
-4*n*(n - 265)*(4*n - 1)/3
Solve 5*g**3 + 735*g**2 + 36015*g + 588245 = 0.
-49
Solve 5*v**2/4 - 167*v/4 + 33/2 = 0.
2/5, 33
Solve s**3/6 - s**2/6 - s/3 = 0 for s.
-1, 0, 2
Suppose -5*c**2 - 5310*c - 1409805 = 0. Calculate c.
-531
Determine h so that 4*h**2 - 1616*h + 163216 = 0.
202
Determine u so that 2*u**2/5 + 12*u/5 + 18/5 = 0.
-3
Factor -5*p**4 + 50*p**3 - 40*p**2 - 50*p + 45.
-5*(p - 9)*(p - 1)**2*(p + 1)
Solve -2*v**2/13 + 2744*v/13 - 941192/13 = 0.
686
Factor 5*l**2 + 60*l + 55.
5*(l + 1)*(l + 11)
Solve 2*y**5/5 - 34*y**4/5 - 38*y**3/5 + 634*y**2/5 + 348*y/5 - 2448/5 = 0.
-3, 2, 4, 17
Let 5*w**2/2 + 45*w + 405/2 = 0. Calculate w.
-9
Factor 2*w**4 - 18*w**3 - 960*w**2 - 5800*w.
2*w*(w - 29)*(w + 10)**2
Solve 3*j**3 - 39*j**2 - 90*j = 0 for j.
-2, 0, 15
Factor 2*t**5/3 + 782*t**4/3 + 101396*t**3/3 + 4291036*t**2/3 - 8889398*t/3 + 4496182/3.
2*(t - 1)**2*(t + 131)**3/3
Solve 3*m**2 + 150*m + 147 = 0.
-49, -1
Factor -2*g**4 - 148*g**3 - 3600*g**2 - 27500*g + 31250.
-2*(g - 1)*(g + 25)**3
Factor 4*x**5 + 37*x**4 + 41*x**3 + 8*x**2.
x**2*(x + 1)*(x + 8)*(4*x + 1)
Find n, given that 5*n**3 - 10*n**2 - 25*n + 30 = 0.
-2, 1, 3
Let x**5 - 56*x**4 + 768*x**3 - 4370*x**2 + 10975*x - 9750 = 0. Calculate x.
2, 5, 39
Let -7*z**5/3 - 23*z**4/3 + 12*z**3 + 208*z**2/3 + 224*z/3 + 16 = 0. What is z?
-2, -2/7, 3
Solve u**5 - u**4 - 2*u**3 + 2*u**2 + u - 1 = 0 for u.
-1, 1
Factor -3*u**2/2 - 39*u + 840.
-3*(u - 14)*(u + 40)/2
Factor 3*w**2 - 1107*w - 1110.
3*(w - 370)*(w + 1)
Suppose -4*f**5 + 8*f**4 - 4*f**3 = 0. Calculate f.
0, 1
Solve 5*l**3 - 175*l**2 + 1250*l = 0.
0, 10, 25
Solve 2*s**4/5 - 2*s**3 - 16*s**2/5 + 96*s/5 = 0.
-3, 0, 4
What is h in -12*h**3 - 8*h**2/5 = 0?
-2/15, 0
Factor -5*v**5 - 230*v**4 + 250*v**3 + 680*v**2 - 1165*v + 470.
-5*(v - 1)**3*(v + 2)*(v + 47)
Factor 5*d**2 - 40020*d + 80080020.
5*(d - 4002)**2
Find x, given that 3*x**2/7 - 9327*x/7 - 9330/7 = 0.
-1, 3110
Suppose -2*w**4/9 + 2*w**3 - 16*w**2/3 + 32*w/9 = 0. What is w?
0, 1, 4
Let -4*x**4 + 20*x**3 + 32*x**2 - 48*x = 0. What is x?
-2, 0, 1, 6
Factor 2*j**3 - 10*j**2.
2*j**2*(j - 5)
Factor 3*z**2 - 18*z/5 - 96/5.
3*(z + 2)*(5*z - 16)/5
Solve -2*h**4/7 - 6*h**3/7 + 26*h**2/7 + 30*h/7 = 0.
-5, -1, 0, 3
Factor 4*i**3 - 196*i**2 + 2080*i + 8112.
4*(i - 26)**2*(i + 3)
What is f in -f**5 + 10*f**4/3 + 10*f**3 - 20*f**2/3 - 9*f + 10/3 = 0?
-2, -1, 1/3, 1, 5
Determine r so that -2*r**4/3 + 56*r**3/3 - 436*r**2/3 + 520*r/3 + 338 = 0.
-1, 3, 13
Factor -3*m**3 - 364*m**2 + 244*m.
-m*(m + 122)*(3*m - 2)
Factor -2*y**3/3 + 560*y**2/3 - 39200*y/3.
-2*y*(y - 140)**2/3
Determine m, given that m**2/7 - 6*m/7 - 72/7 = 0.
-6, 12
Factor 2*w**3 + 6*w**2 + 4*w.
2*w*(w + 1)*(w + 2)
Let -2*y**5/9 + 2*y**4/9 + 4*y**3/9 - 4*y**2/9 - 2*y/9 + 2/9 = 0. Calculate y.
-1, 1
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