= 0.
-9, -1, -4/7
Let -18*v**2 - 51*v + 9 = 0. What is v?
-3, 1/6
Factor -2*y**4/7 + 6*y**3/7 - 8*y/7.
-2*y*(y - 2)**2*(y + 1)/7
Suppose -4*m**5/7 + 4*m**4 - 44*m**3/7 - 76*m**2/7 + 240*m/7 - 144/7 = 0. What is m?
-2, 1, 2, 3
Let -45*o**5 + 2010*o**4 + 7015*o**3 + 8780*o**2 + 4780*o + 960 = 0. What is o?
-1, -2/3, 48
Factor a**5/5 - 14*a**4 - 216*a**3/5 - 218*a**2/5 - 73*a/5.
a*(a - 73)*(a + 1)**3/5
Suppose -4*z**3 + 960*z**2 + 5868*z + 8856 = 0. Calculate z.
-3, 246
Factor 4*c**4 + 18812*c**3 + 29503476*c**2 + 15449936788*c + 30782010104.
4*(c + 2)*(c + 1567)**3
Factor -28*p**2 - 5412*p - 1544.
-4*(p + 193)*(7*p + 2)
Solve -210*b**4 - 215*b**3 - 5*b**2 = 0.
-1, -1/42, 0
Factor -4*n**4/3 - 860*n**3/3 - 46652*n**2/3 - 45796*n/3.
-4*n*(n + 1)*(n + 107)**2/3
Solve y**2 + 39*y + 38 = 0 for y.
-38, -1
Factor l**2/4 + 6*l - 13.
(l - 2)*(l + 26)/4
Factor -r**2 + 60*r - 900.
-(r - 30)**2
What is h in h**2 + 1792*h + 802816 = 0?
-896
Find l, given that -l**2/2 + 3363*l - 11309769/2 = 0.
3363
Determine o so that 3*o**2 - 567*o - 2316 = 0.
-4, 193
Factor 20*f**4 + 92*f**3 - 12*f**2 - 396*f - 216.
4*(f - 2)*(f + 3)**2*(5*f + 3)
Factor -2*x**3/3 + 100*x**2/9 - 64*x/9.
-2*x*(x - 16)*(3*x - 2)/9
Factor n**2/6 - 7*n/2 - 221/3.
(n - 34)*(n + 13)/6
Suppose 2*r**5 + 22*r**4 + 6*r**3 - 710*r**2 - 2800*r - 3000 = 0. What is r?
-5, -2, 6
What is o in 5*o**5 - 30*o**4 - 40*o**3 + 30*o**2 + 35*o = 0?
-1, 0, 1, 7
Factor -12*s**4/5 - 34*s**3/5 - 32*s**2/5 - 2*s.
-2*s*(s + 1)**2*(6*s + 5)/5
Let -45387*g**4 - 398151*g**3/7 - 11082*g**2 + 2844*g/7 - 24/7 = 0. Calculate g.
-1, -2/7, 2/123
Find k, given that 3*k**4/4 - 93*k**3/4 + 261*k**2/4 - 255*k/4 + 21 = 0.
1, 28
Suppose r**4/4 - 7*r**3 + 71*r**2/4 + 25*r = 0. What is r?
-1, 0, 4, 25
What is v in 2*v**4/3 - 52*v**3/3 + 112*v**2 + 52*v/3 - 338/3 = 0?
-1, 1, 13
Factor -h**2/5 - 31*h/5.
-h*(h + 31)/5
Factor 4*j**4 + 324*j**3 + 1552*j**2 + 2448*j + 1216.
4*(j + 1)*(j + 2)**2*(j + 76)
Determine w so that w**4/4 + 3*w**3 + 27*w**2/2 + 27*w + 81/4 = 0.
-3
Factor 2*t**2 - 24*t + 54.
2*(t - 9)*(t - 3)
Factor -5*h**2 + 895*h - 890.
-5*(h - 178)*(h - 1)
Determine r, given that r**4/6 - r**3/2 - 5*r**2/3 = 0.
-2, 0, 5
Solve -v**5/4 - 51*v**4/4 - 193*v**3/4 - 237*v**2/4 - 47*v/2 = 0.
-47, -2, -1, 0
Determine z so that 3*z**3/2 + 6*z**2 - 3*z/2 - 6 = 0.
-4, -1, 1
What is y in 5*y**3 - 30*y**2 + 55*y - 30 = 0?
1, 2, 3
What is r in -2*r**4/5 + 12*r**3 - 56*r**2/5 - 12*r + 58/5 = 0?
-1, 1, 29
Determine c, given that -c**4/2 + 44*c**3 - 1436*c**2 + 20592*c - 109512 = 0.
18, 26
Factor -3*t**2/5 + 78*t - 2535.
-3*(t - 65)**2/5
Let -c**2 + 188*c + 380 = 0. Calculate c.
-2, 190
Factor o**3/5 - 62*o**2/5 + 160*o - 2944/5.
(o - 46)*(o - 8)**2/5
Factor 8*u**2/7 - 2*u - 130/7.
2*(u - 5)*(4*u + 13)/7
Factor -2*h**5/9 - 8*h**4/3 - 32*h**3/3 - 128*h**2/9.
-2*h**2*(h + 4)**3/9
Determine i so that i**3 + 64*i**2/3 + 137*i/3 + 76/3 = 0.
-19, -4/3, -1
Solve -a**5/2 - 3*a**4 + 8*a**3 = 0 for a.
-8, 0, 2
Find g, given that -g**5 + 5*g**4 + 13*g**3 + 7*g**2 = 0.
-1, 0, 7
Factor 3*i**2 + 363*i + 1404.
3*(i + 4)*(i + 117)
Solve -4*i**2 + 2616*i - 427716 = 0.
327
Factor 4*g**5 + 8*g**4 - 8*g**2 - 4*g.
4*g*(g - 1)*(g + 1)**3
Factor -3*r**2 + 363.
-3*(r - 11)*(r + 11)
What is s in -9*s**4 - 71*s**3 - 442*s**2/3 - 268*s/3 - 40/3 = 0?
-5, -2, -2/3, -2/9
Factor -2*z**5 + 86*z**4 - 324*z**3 + 476*z**2 - 314*z + 78.
-2*(z - 39)*(z - 1)**4
Factor 8*r**5/3 - 6*r**4 + 4*r**3 - 2*r**2/3.
2*r**2*(r - 1)**2*(4*r - 1)/3
Let 2*o**4 - 96*o**3 + 936*o**2 - 2656*o + 2304 = 0. Calculate o.
2, 8, 36
Suppose -3*k**5 + 58*k**4 - 113*k**3 - 114*k**2 + 196*k + 136 = 0. Calculate k.
-1, -2/3, 2, 17
Solve -2*y**5/9 - 106*y**4/9 + 110*y**3/3 - 334*y**2/9 + 112*y/9 = 0.
-56, 0, 1
Factor -p**3/5 + 3*p**2/5 + 18*p/5.
-p*(p - 6)*(p + 3)/5
Factor 5*f**4 - 20*f**3 - 15*f**2 + 90*f.
5*f*(f - 3)**2*(f + 2)
Factor 3*g**4/8 + 129*g**3/4 + 660*g**2 - 1452*g.
3*g*(g - 2)*(g + 44)**2/8
Find i such that -18522*i**4 - 1323*i**3 - 63*i**2/2 - i/4 = 0.
-1/42, 0
Find t such that 4*t**5 - 128*t**4 + 736*t**3 + 4608*t**2 + 5184*t = 0.
-2, 0, 18
Find c, given that -26*c**5 - 2154*c**4 - 47560*c**3 - 121592*c**2 - 63360*c + 12800 = 0.
-40, -2, -1, 2/13
Factor 5*q**4 - 90*q**3 + 205*q**2 + 300*q.
5*q*(q - 15)*(q - 4)*(q + 1)
Determine s so that -s**4 + 26*s**3 + s**2 - 26*s = 0.
-1, 0, 1, 26
Solve -35*g**3 + 5870*g**2 - 245280*g - 70560 = 0 for g.
-2/7, 84
What is u in 2*u**4 - 928*u**3 + 143220*u**2 - 7303600*u - 7447750 = 0?
-1, 155
Determine q so that -5*q**2 - 30*q + 35 = 0.
-7, 1
Solve -3*h**4 + 54*h**3 - 132*h**2 - 54*h + 135 = 0 for h.
-1, 1, 3, 15
Factor -v**3 - 248*v**2 - 493*v - 246.
-(v + 1)**2*(v + 246)
Factor -9*d**2/8 + 21*d/4 + 15/8.
-3*(d - 5)*(3*d + 1)/8
Solve 3*n**2 - 9510*n + 7536675 = 0 for n.
1585
Factor v**3/6 - 86*v**2/3 + 3698*v/3.
v*(v - 86)**2/6
Solve 4*t**3 - 480*t**2 - 988*t + 1464 = 0.
-3, 1, 122
Solve -42*a**5/11 + 498*a**4/11 - 1038*a**3/11 - 498*a**2/11 + 1080*a/11 = 0 for a.
-1, 0, 1, 20/7, 9
Factor 3*l**5 + 390*l**4 + 12279*l**3 - 25740*l**2 + 13068*l.
3*l*(l - 1)**2*(l + 66)**2
Factor 2*d**4 + 8*d**3 - 24*d**2 - 64*d + 128.
2*(d - 2)**2*(d + 4)**2
Let 4*x**5 + 4*x**4 - 12*x**3 - 4*x**2 + 8*x = 0. Calculate x.
-2, -1, 0, 1
Factor 12*g**4 - 32*g**3 - 12*g**2 + 48*g + 16.
4*(g - 2)**2*(g + 1)*(3*g + 1)
Factor -2*p**3/7 + 44*p**2/7 - 30*p.
-2*p*(p - 15)*(p - 7)/7
Factor -3*q**2/4 - 15*q - 57/4.
-3*(q + 1)*(q + 19)/4
Let -i**4/6 - i**3/3 + 3*i**2/2 + i/3 - 4/3 = 0. Calculate i.
-4, -1, 1, 2
Factor -z**4/12 - 5*z**3/12 - z**2/3.
-z**2*(z + 1)*(z + 4)/12
Suppose -2*x**5 - 6*x**4 + 16*x**3 + 48*x**2 - 32*x - 96 = 0. Calculate x.
-3, -2, 2
Solve 25*z**3 + 80*z**2 - 235*z - 50 = 0.
-5, -1/5, 2
Solve 4*s**4/3 + 172*s**3/3 + 100*s**2 - 1132*s/3 + 656/3 = 0.
-41, -4, 1
Solve -3*b**3/7 + 54*b**2/7 = 0 for b.
0, 18
What is w in w**5 - 566*w**4 + 1129*w**3 - 564*w**2 = 0?
0, 1, 564
Factor -2*m**2/5 + 142*m/5.
-2*m*(m - 71)/5
Find d such that 4*d**3/5 - 632*d**2/5 + 4864*d/5 - 1920 = 0.
4, 150
Suppose 2*g**2/15 + 6*g/5 + 16/15 = 0. What is g?
-8, -1
Factor 81*f**2/10 - 99*f/5 + 121/10.
(9*f - 11)**2/10
Let 245*r**5 - 595*r**4 - 645*r**3 + 535*r**2 + 400*r + 60 = 0. What is r?
-1, -2/7, 1, 3
Determine m so that -3*m**2/5 - 15822*m/5 - 15819/5 = 0.
-5273, -1
Find t, given that 5*t**5 + 285*t**4 + 1455*t**3 - 70825*t**2 + 441000*t - 810000 = 0.
-36, 5
Factor 2*u**2/7 + 1866*u/7 + 5580/7.
2*(u + 3)*(u + 930)/7
Solve -g**2 + 7*g - 10 = 0 for g.
2, 5
Factor -m**5 - 1777*m**4 - 792094*m**3 - 2365630*m**2 - 2362081*m - 786769.
-(m + 1)**3*(m + 887)**2
Let -3*l**3 - 3*l**2 + 192*l + 192 = 0. What is l?
-8, -1, 8
What is c in -c**5/5 + 2*c**4/5 + 14*c**3/5 + 8*c**2/5 - 13*c/5 - 2 = 0?
-2, -1, 1, 5
Suppose -c**4/3 - c**3/9 + 53*c**2/9 - 79*c/9 + 10/3 = 0. Calculate c.
-5, 2/3, 1, 3
Find g such that -2*g**3/15 + 46*g**2/15 - 16*g - 96/5 = 0.
-1, 12
Let 27*q**3 + 6*q**2 - 108*q - 24 = 0. Calculate q.
-2, -2/9, 2
Find s such that -2*s**3/19 + 88*s**2/19 - 502*s/19 - 592/19 = 0.
-1, 8, 37
Factor -5*i**4 + 210*i**3 - 2200*i**2 - 210*i + 2205.
-5*(i - 21)**2*(i - 1)*(i + 1)
Suppose n**3/4 + 79*n**2/4 + 380*n - 400 = 0. Calculate n.
-40, 1
Factor -w**2/2 - 14*w + 93/2.
-(w - 3)*(w + 31)/2
Solve 5*i**5 - 10*i**3 + 5*i = 0 for i.
-1, 0, 1
Factor 2*d**2/9 + 19*d/9 + 17/9.
(d + 1)*(2*d + 17)/9
Determine h so that 12*h**5 + 231*h**4 - 87*h**3 - 2580*h**2 + 3012*h + 912 = 0.
-19, -4, -1/4, 2
Factor -15*f**3 - 305*f**2 + 1340*f + 480.
-5*(f - 4)*(f + 24)*(3*f + 1)
Let -2*j**3 - 10*j**2 - 8*j = 0. What is j?
-4, -1, 0
Find h, given that -3*h**2 - 150*h - 792 = 0.
-44, -6
Factor z**4 - 4036*z**3 + 4068286*z**2 + 8148684*z + 4076361.
(z - 2019)**2*(z + 1)**2
Factor 5*n**5 + 95*n**4 + 525*n**3 + 245*n**2 - 3430*n.
5*n*(n - 2)*(n + 7)**3
Factor -2*k**3 - 60*k**2 - 384*k - 704.
-2*(k + 4)**2*(k + 22)
Factor -5*c**2 - 5*c + 60.
-5*(c - 3)*(c + 4)
Factor -g**5/3 - 8*g**4 - 75*g**3 - 342*g**2 - 756*g - 648.
-(g + 3)**2*(g + 6)**3/3
Factor 3*v**3 + 27*v**2 + 24*v.
3*v*(v + 1)*(v + 8)
Solve 8*m**5/7 - 138*m**4/7 + 348*m**3/7 + 346*m**2 - 120*m - 1800/7 = 0 for m.
-3, -3/4, 1, 10
What is w in -3*w**3 - 90*w**2 - 171*w - 84 = 0?
-28, -1
Factor 3*c**3/4 - 39*c**2/4 + 15*c/2 + 18.
3*(c - 12)*(c - 2)*(c + 1)/4
Factor 2*h**3 