en that -3*l**3/2 + 27*l**2 - 99*l/2 + 24 = 0.
1, 16
Solve -5*d**3/3 + 5*d**2 + 20*d/3 = 0.
-1, 0, 4
Solve -y**4/8 + 116*y**3 - 143685*y**2/4 + 3723759*y - 29503629/8 = 0.
1, 309
Suppose 8*k**4/17 - 46*k**3/17 + 52*k**2/17 + 16*k/17 = 0. Calculate k.
-1/4, 0, 2, 4
Factor 2*o**4 + 188*o**3 + 368*o**2.
2*o**2*(o + 2)*(o + 92)
Factor 4*b**2/5 - 20*b + 576/5.
4*(b - 16)*(b - 9)/5
Factor 3*d**3 - 12*d**2 - 9*d + 54.
3*(d - 3)**2*(d + 2)
What is i in -i**5/2 - i**4 + i**3/2 + i**2 = 0?
-2, -1, 0, 1
Factor -2*k**3 + 32*k**2 - 70*k - 104.
-2*(k - 13)*(k - 4)*(k + 1)
Determine k so that -k**2 + 4368*k - 4769856 = 0.
2184
Factor -n**2/9 + 34*n - 2601.
-(n - 153)**2/9
Factor 20*r**3 + 125*r**2 + 190*r + 85.
5*(r + 1)**2*(4*r + 17)
What is n in -4*n**2/3 - 539*n/3 = 0?
-539/4, 0
Let -y**2/7 + 100*y/7 - 2500/7 = 0. What is y?
50
Factor -237*u**2 + 2142*u - 81.
-3*(u - 9)*(79*u - 3)
Factor -a**5/5 + 7*a**4/5 - 2*a**3.
-a**3*(a - 5)*(a - 2)/5
Determine h, given that 14*h**4/3 + 372*h**3 + 28352*h**2/3 + 73728*h - 65536/3 = 0.
-32, -16, 2/7
What is k in -4*k**2 - 140*k + 144 = 0?
-36, 1
Factor -2*x**2/11 + 1264*x/11 - 199712/11.
-2*(x - 316)**2/11
Suppose -2*p**2/7 - 4*p/7 - 2/7 = 0. What is p?
-1
Suppose -2*u**3/11 + 12*u**2/11 - 18*u/11 + 8/11 = 0. What is u?
1, 4
Suppose 3*t**4 + 81*t**3 + 405*t**2 + 579*t + 252 = 0. Calculate t.
-21, -4, -1
Suppose 3*b**2 - 129*b - 132 = 0. What is b?
-1, 44
Let -2*g**5/3 - 180*g**4 - 35902*g**3/3 + 74524*g**2/3 + 11968*g - 73984/3 = 0. Calculate g.
-136, -1, 1, 2
Factor -12*f**2 + 33*f - 21.
-3*(f - 1)*(4*f - 7)
Find g such that -4*g**4 + 68*g**3 + 148*g**2 + 76*g = 0.
-1, 0, 19
Factor -40*s**3 - 605*s**2 - 75*s.
-5*s*(s + 15)*(8*s + 1)
Suppose 22*u**4/7 - 138*u**3/7 + 300*u**2/7 - 248*u/7 + 48/7 = 0. What is u?
3/11, 2
Factor i**3 + 9897*i**2 + 32650203*i + 35904339899.
(i + 3299)**3
Find y such that 3*y**5 + 6*y**4 - 51*y**3 + 6*y**2 + 156*y - 120 = 0.
-5, -2, 1, 2
Factor -s**4/2 + s**3 + 6*s**2 + 7*s + 5/2.
-(s - 5)*(s + 1)**3/2
Factor -16*u**2 - 18*u + 100.
-2*(u - 2)*(8*u + 25)
Determine z so that 116*z**3 + 3700*z**2 + 29312*z - 3072 = 0.
-16, 3/29
Solve -5*m**2 - 1330*m - 88445 = 0 for m.
-133
Determine b so that -165*b**4 + 14844*b**3 - 444960*b**2 + 4438800*b + 162000 = 0.
-2/55, 30
Factor 3*j**3/4 - 9*j**2/4 - 15*j/2 + 18.
3*(j - 4)*(j - 2)*(j + 3)/4
Factor -2*i**5/3 + 130*i**4/3 - 966*i**3 + 7938*i**2 - 12348*i.
-2*i*(i - 21)**3*(i - 2)/3
Factor -5*f**4 - 10*f**3 + 65*f**2 - 50*f.
-5*f*(f - 2)*(f - 1)*(f + 5)
What is a in -2*a**2/7 + 452*a = 0?
0, 1582
Solve 5*z**2/4 + 11*z - 9/4 = 0 for z.
-9, 1/5
Factor -5*y**3 - 220*y**2 + 455*y - 230.
-5*(y - 1)**2*(y + 46)
Determine v so that 4*v**5 + 20*v**4 + 32*v**3 + 16*v**2 = 0.
-2, -1, 0
Solve -3*o**5 + 18*o**4 - 162*o**2 + 243*o = 0 for o.
-3, 0, 3
Factor p**2/3 + 106*p/3 + 208/3.
(p + 2)*(p + 104)/3
Factor g**2/6 + 3370*g/3 + 5678450/3.
(g + 3370)**2/6
Determine q so that -2*q**3/9 + 10*q**2/3 - 28*q/9 = 0.
0, 1, 14
Suppose 5*a**4 + 90*a**3 + 440*a**2 + 630*a + 275 = 0. What is a?
-11, -5, -1
Solve -13*j**4/6 - 14*j**3/3 + 3*j**2/2 + 14*j/3 + 2/3 = 0 for j.
-2, -1, -2/13, 1
Determine g, given that -g**5/2 + 44*g**4 - 2101*g**3/2 + 3567*g**2 - 630*g - 5292 = 0.
-1, 2, 3, 42
Factor -5*w**3 + 70*w**2 - 175*w + 110.
-5*(w - 11)*(w - 2)*(w - 1)
What is w in w**2 - 38*w + 105 = 0?
3, 35
Factor -g**3/4 - 21*g**2/4 - 30*g - 25.
-(g + 1)*(g + 10)**2/4
Let -4*i**2 + 3852*i = 0. Calculate i.
0, 963
Factor q**2/4 + 20*q + 400.
(q + 40)**2/4
Factor -3*i**3 + 387*i**2 - 12672*i + 12288.
-3*(i - 64)**2*(i - 1)
Factor -f**3 - 77*f**2/8 + 59*f/4 - 33/8.
-(f - 1)*(f + 11)*(8*f - 3)/8
Find b such that -98*b**3/3 + 322*b**2/3 + 256*b + 120 = 0.
-6/7, 5
Factor -2*g**2/11 - 292*g/11 - 10658/11.
-2*(g + 73)**2/11
Factor -4*x**2/5 - 188*x/5 + 392/5.
-4*(x - 2)*(x + 49)/5
Factor -243*o**2/8 + 483*o/8 + 3/4.
-3*(o - 2)*(81*o + 1)/8
Suppose -5*b**5 + 490*b**4 + 500*b**3 - 490*b**2 - 495*b = 0. Calculate b.
-1, 0, 1, 99
Factor -20*r**4 - 418*r**3/7 - 414*r**2/7 - 134*r/7 + 2/7.
-2*(r + 1)**3*(70*r - 1)/7
Let -3*v**5/2 + 9*v**4/2 + 45*v**3 - 186*v**2 + 180*v = 0. What is v?
-6, 0, 2, 5
What is x in 40*x**5 - 332*x**4 + 3432*x**3/5 - 400*x**2 + 352*x/5 = 0?
0, 2/5, 2, 11/2
What is z in 8*z**4/11 - 50*z**3/11 - 116*z**2/11 + 32*z/11 = 0?
-2, 0, 1/4, 8
Factor 4*j**2/3 + 56*j/3 + 60.
4*(j + 5)*(j + 9)/3
Factor -4*p**2 + 400*p - 10000.
-4*(p - 50)**2
Factor n**4/2 - 2*n**3 + 5*n**2/2 - n.
n*(n - 2)*(n - 1)**2/2
Let 2*p**5/3 + 4*p**4 + 22*p**3/3 + 4*p**2 = 0. What is p?
-3, -2, -1, 0
Factor -7*j**3/8 + 191*j**2/8 + 333*j/2 - 99/2.
-(j - 33)*(j + 6)*(7*j - 2)/8
What is n in -27*n**3/2 - 13902*n**2 - 7154895*n/2 + 795675 = 0?
-515, 2/9
Suppose 2*c**2/7 - 586*c/7 - 84 = 0. What is c?
-1, 294
Let -2*v**4/9 - 64*v**3/9 - 232*v**2/9 + 2080*v/9 = 0. What is v?
-26, -10, 0, 4
Find j such that 4*j**5 + 40*j**4 + 64*j**3 = 0.
-8, -2, 0
Factor -t**4 - 6*t**3 + t**2 + 6*t.
-t*(t - 1)*(t + 1)*(t + 6)
What is w in -2*w**2/5 - 118*w/5 - 728/5 = 0?
-52, -7
Factor 3*i**2 + 2784*i + 645888.
3*(i + 464)**2
Factor p**3 - 753*p**2/4 + 47*p.
p*(p - 188)*(4*p - 1)/4
Solve 5*a**2 - 535*a + 530 = 0 for a.
1, 106
Solve 6*h**2 + 3*h = 0 for h.
-1/2, 0
Let 5*x**3/2 - x**2/2 - 16*x + 14 = 0. What is x?
-14/5, 1, 2
Factor -3*v**2 + 17262*v - 24831387.
-3*(v - 2877)**2
Let -3*s**5 - 29*s**4 - 77*s**3 - 67*s**2 - 4*s + 12 = 0. What is s?
-6, -2, -1, 1/3
Find f such that f**2/4 + 3*f + 9 = 0.
-6
Factor -s**2/7 - 8*s/7.
-s*(s + 8)/7
Solve -k**3/9 + 10*k**2/3 = 0.
0, 30
Suppose -4*i**3 - 136*i**2 - 380*i - 248 = 0. What is i?
-31, -2, -1
Suppose 3*v**4 + 18*v**3 + 3*v**2 - 72*v + 48 = 0. Calculate v.
-4, 1
Factor -u**4/4 - 503*u**3/4 - 1497*u**2/2 - 1493*u - 994.
-(u + 2)**3*(u + 497)/4
Factor 3*z**2 - 69*z + 66.
3*(z - 22)*(z - 1)
Factor -u**2/7 + 3*u/7 + 54/7.
-(u - 9)*(u + 6)/7
Suppose 2*r**2/15 + 38*r/3 = 0. What is r?
-95, 0
Solve 9*q**5 + 78*q**4 + 39*q**3 - 78*q**2 - 48*q = 0.
-8, -1, -2/3, 0, 1
Let 28*v**2 - 682*v + 240 = 0. Calculate v.
5/14, 24
Solve -27*p**3 + 60*p**2 - 12*p = 0.
0, 2/9, 2
What is q in -4*q**2/5 - 1592*q/5 - 1588/5 = 0?
-397, -1
Factor 4*t**3/5 - 44*t**2/5 + 156*t/5 - 36.
4*(t - 5)*(t - 3)**2/5
Solve -2*y**2/9 - 54*y + 488/9 = 0.
-244, 1
Factor 2*x**3/11 - 14*x**2/11 + 4*x/11 + 80/11.
2*(x - 5)*(x - 4)*(x + 2)/11
Suppose 3*h**5 - 430*h**4 + 2229*h**3 - 2894*h**2 - 564*h + 1656 = 0. Calculate h.
-2/3, 1, 2, 3, 138
Find h, given that -5*h**4/4 + 845*h**3/2 - 47880*h**2 + 1850240*h - 3512320 = 0.
2, 112
Solve 4*n**4 + 4*n**3 - 8*n**2 = 0.
-2, 0, 1
Determine r so that -r**4/5 - 21*r**3 - 41*r**2 + 21*r + 206/5 = 0.
-103, -2, -1, 1
Factor -3*o**3 - 393*o**2 + 402*o + 792.
-3*(o - 2)*(o + 1)*(o + 132)
Determine s so that -s**3/4 + 35*s**2/4 + 237*s/4 + 369/4 = 0.
-3, 41
Factor 2*x**2 + 24*x + 72.
2*(x + 6)**2
Let 5*p**5 - 5*p**4 - 30*p**3 + 20*p**2 + 40*p = 0. What is p?
-2, -1, 0, 2
Factor -3*t**3/8 - 51*t**2/8 + 9*t + 81/2.
-3*(t - 3)*(t + 2)*(t + 18)/8
Solve -4*t**2/3 + 144*t - 3696 = 0 for t.
42, 66
Determine y, given that 3*y**5/2 + 11*y**4/4 + y**3 - y**2/4 = 0.
-1, 0, 1/6
What is b in 75*b**5 + 9095*b**4 - 157200*b**3 + 612620*b**2 + 217920*b - 175360 = 0?
-137, -2/3, 2/5, 8
Factor -2*a**2 + 10*a - 8.
-2*(a - 4)*(a - 1)
What is i in -5*i**5 - 5*i**4 + 105*i**3 + 205*i**2 + 100*i = 0?
-4, -1, 0, 5
Factor 2*n**3 - 2*n**2 - 44*n + 80.
2*(n - 4)*(n - 2)*(n + 5)
Solve -k**5/4 - k**4 - 5*k**3/4 - k**2/2 = 0 for k.
-2, -1, 0
Suppose -4*u**2/7 + 312*u/7 - 1460/7 = 0. What is u?
5, 73
Factor 2*o**5 + 4*o**4 - 46*o**3 - 48*o**2 + 288*o.
2*o*(o - 3)**2*(o + 4)**2
What is u in 2*u**2 - 1644*u + 337842 = 0?
411
Determine i so that i**4/4 + 17*i**3/2 + 207*i**2/4 - 17*i/2 - 52 = 0.
-26, -8, -1, 1
Solve -4*b**4 + 224*b**3 + 496*b**2 - 1856*b = 0 for b.
-4, 0, 2, 58
Factor 2*a**3/3 - 14*a**2/3 - 76*a/3 + 160.
2*(a - 8)*(a - 5)*(a + 6)/3
Solve 2*y**4/15 - 14*y**3/3 + 704*y**2/15 - 512*y/5 = 0.
0, 3, 16
What is d in 3*d**2/2 - 21*d + 36 = 0?
2, 12
Factor -21*p**2/4 - 3939*p - 1125.
-3*(p + 750)*(7*p + 2)/4
Determine a so that a**2/3 - 1397*a/3 - 466 = 0.
-1, 1398
Let -2*j**2/19 + 10*j/19 - 8/19 = 0. Calculate j.
1, 4
Find r such that -3*r**5/8 - 87*r**4/2 - 11313*r**3/8 - 16767*r**2/2 + 19683*r/2 = 0.
-54, -9, 0, 1
F