uppose -5*v**2 - 130*v - 125 = 0. What is v?
-25, -1
Factor -3*b**2 - 18*b - 24.
-3*(b + 2)*(b + 4)
Factor -12*a**4 + 1324*a**3 - 36740*a**2 + 12100*a.
-4*a*(a - 55)**2*(3*a - 1)
Factor 3*z**2/2 + 6*z + 6.
3*(z + 2)**2/2
Find d such that -2*d**4 + 4*d**3 + 8*d**2 - 16*d = 0.
-2, 0, 2
Factor 4*j**2 + 4796*j - 9608.
4*(j - 2)*(j + 1201)
Let 3*d**2/4 - 3481*d/4 - 1161/2 = 0. Calculate d.
-2/3, 1161
Determine r, given that -5*r**5 + 25*r**4 + 130*r**3 - 650*r**2 - 125*r + 625 = 0.
-5, -1, 1, 5
Factor 2*c**3 + 318*c**2 + 622*c - 942.
2*(c - 1)*(c + 3)*(c + 157)
Determine o, given that -o**5/2 + 57*o**4/2 + 121*o**3 + 63*o**2 - 241*o/2 - 183/2 = 0.
-3, -1, 1, 61
Factor 3*q**4/2 - 9*q**3/2 + 3*q**2.
3*q**2*(q - 2)*(q - 1)/2
Suppose -2*c**4/7 + 64*c**3/7 + 282*c**2/7 + 216*c/7 = 0. Calculate c.
-3, -1, 0, 36
Factor -a**2/4 + 91*a/4.
-a*(a - 91)/4
Factor 2*k**2/3 + 2252*k/3 + 750.
2*(k + 1)*(k + 1125)/3
Let -v**2/3 + 43*v/3 + 30 = 0. What is v?
-2, 45
What is r in -2*r**3/5 - 108*r**2/5 - 378*r - 2160 = 0?
-24, -15
Factor -4*k**2/5 + 3656*k/5 + 11004/5.
-4*(k - 917)*(k + 3)/5
What is g in g**4/4 + 9*g**3/4 - 23*g**2/4 - 9*g/4 + 11/2 = 0?
-11, -1, 1, 2
Factor a**2/7 - 460*a/7 - 461/7.
(a - 461)*(a + 1)/7
Factor 5*t**4 + 400*t**3 + 8000*t**2.
5*t**2*(t + 40)**2
Factor 4*g**4/5 - 24*g**3/5 - 108*g**2/5 - 16*g/5 + 144/5.
4*(g - 9)*(g - 1)*(g + 2)**2/5
Factor k**2/7 - 3124*k/7 + 2439844/7.
(k - 1562)**2/7
Find j, given that 2*j**4 - 18*j**3 - 96*j**2 - 104*j = 0.
-2, 0, 13
Factor t**4/4 - 3*t**3/2 - t**2/4 + 3*t/2.
t*(t - 6)*(t - 1)*(t + 1)/4
Factor -2*n**2/3 + 46*n/3 - 68.
-2*(n - 17)*(n - 6)/3
Solve -2*r**4/3 + 4*r**3/3 + 38*r**2/3 - 136*r/3 + 40 = 0.
-5, 2, 3
Determine a, given that -3*a**5/5 + 9*a**4 - 174*a**3/5 - 54*a**2/5 + 609*a/5 + 441/5 = 0.
-1, 3, 7
Factor -3*x**4 + 213*x**3 + 216*x**2.
-3*x**2*(x - 72)*(x + 1)
Factor -5*d**2 + 800*d - 32000.
-5*(d - 80)**2
Solve o**2 - 11*o + 10 = 0.
1, 10
Factor -2*g**2/9 - 2*g/3 + 4.
-2*(g - 3)*(g + 6)/9
Factor 2*h**3 - 8*h**2 - 256*h + 1536.
2*(h - 8)**2*(h + 12)
Find i, given that -i**5 - 4*i**4 - i**3 + 10*i**2 + 4*i - 8 = 0.
-2, 1
Find r, given that -2*r**4/11 - 2*r**3/11 + 6*r**2/11 + 10*r/11 + 4/11 = 0.
-1, 2
Factor -9*w**2 + 15*w + 6.
-3*(w - 2)*(3*w + 1)
Factor 18*f**3/19 - 32*f**2/19 + 10*f/19 + 4/19.
2*(f - 1)**2*(9*f + 2)/19
What is m in -7*m**5/6 + 5*m**4/6 + 163*m**3/6 + 319*m**2/6 + 34*m + 6 = 0?
-3, -1, -2/7, 6
Find l such that 4*l**2/9 - 160*l/9 - 164/9 = 0.
-1, 41
Factor -5*o**4 - 32*o**3 + 63*o**2 - 10*o - 16.
-(o - 1)**2*(o + 8)*(5*o + 2)
Suppose -v**4/8 + 19*v**3/2 + 1617*v**2/4 + 9559*v/2 + 145079/8 = 0. What is v?
-11, 109
Factor 2*h**3/5 + 72*h**2/5 + 66*h/5 - 28.
2*(h - 1)*(h + 2)*(h + 35)/5
Factor -4*z**3/9 - 32*z**2/9 - 20*z/3.
-4*z*(z + 3)*(z + 5)/9
What is t in 2*t**3/11 + 50*t**2 - 552*t/11 = 0?
-276, 0, 1
Factor 3*p**2/2 - 2265*p + 1710075/2.
3*(p - 755)**2/2
Factor -5*x**3 + 205*x**2 - 1995*x - 2205.
-5*(x - 21)**2*(x + 1)
Let -y**4/5 - 331*y**3/5 - 37557*y**2/5 - 1568513*y/5 - 2450086 = 0. Calculate y.
-107, -10
Factor 8*c**4 + 38*c**3 + 38*c**2 - 12*c.
2*c*(c + 2)*(c + 3)*(4*c - 1)
Factor x**3 - x**2 - x + 1.
(x - 1)**2*(x + 1)
Factor p**2/11 - 63*p/11.
p*(p - 63)/11
Let 2*b**4/3 - 10*b**3/3 - 16*b**2/3 + 32*b = 0. Calculate b.
-3, 0, 4
Let -n**2 - 25*n = 0. Calculate n.
-25, 0
Factor -a**4/5 + 33*a**3/5 - 51*a**2 - 289*a/5.
-a*(a - 17)**2*(a + 1)/5
Factor -2*g**4 + 20*g**3 - 66*g**2 + 80*g - 32.
-2*(g - 4)**2*(g - 1)**2
Let -398*y**4/7 + 800*y**3/7 - 8*y**2/7 = 0. What is y?
0, 2/199, 2
Let 2*m**5 - 248*m**4 - 4*m**3 + 496*m**2 + 2*m - 248 = 0. Calculate m.
-1, 1, 124
What is r in -2*r**2/19 + 26*r/19 = 0?
0, 13
Factor -3*u**4/5 + 14*u**3/5 - 4*u**2 + 8*u/5.
-u*(u - 2)**2*(3*u - 2)/5
Suppose b**2/6 - 6*b + 35/6 = 0. What is b?
1, 35
Find y such that -14*y**2 + 122*y + 36 = 0.
-2/7, 9
Let -t**3/4 - 14*t**2 + t/4 + 14 = 0. What is t?
-56, -1, 1
Find h, given that -3*h**5/7 - 9*h**4/7 + 3*h**3/7 + 9*h**2/7 = 0.
-3, -1, 0, 1
Factor 3*l**3 - 40*l**2 - 29*l + 14.
(l - 14)*(l + 1)*(3*l - 1)
Solve 2*v**4/19 + 370*v**3/19 + 2814*v**2/19 - 3186*v/19 = 0.
-177, -9, 0, 1
Factor 2*l**3/13 + 4*l**2/13 - 16*l/13.
2*l*(l - 2)*(l + 4)/13
Suppose -5*c**3 + 25*c**2 + 30*c = 0. What is c?
-1, 0, 6
Let 2*v**5/3 - 20*v**4/3 + 50*v**3/3 = 0. What is v?
0, 5
Solve 2*p**3/15 - 32*p**2/15 - 82*p/5 - 132/5 = 0 for p.
-3, 22
Suppose -4*x**2 + 56*x = 0. Calculate x.
0, 14
Factor 2*s**5 - 4*s**4 - 2*s**3 + 4*s**2.
2*s**2*(s - 2)*(s - 1)*(s + 1)
What is g in -8*g**3 + 2*g**2 + 8*g - 2 = 0?
-1, 1/4, 1
Solve 278*s**3/9 + 284*s**2/9 + 2*s/3 = 0.
-1, -3/139, 0
Solve 3*v**3/4 - 15*v**2 + 51*v - 48 = 0.
2, 16
Factor -8*a**2 - 14*a + 4.
-2*(a + 2)*(4*a - 1)
Solve -5*q**3 + 25*q**2 + 10*q - 120 = 0 for q.
-2, 3, 4
Determine l so that -4*l**2/9 + 64/9 = 0.
-4, 4
Factor 5*m**3 + 180*m**2 - 4455*m + 21870.
5*(m - 9)**2*(m + 54)
Solve 6*i**4/7 - 446*i**3/21 + 2924*i**2/21 - 640*i/7 - 192/7 = 0.
-2/9, 1, 12
Factor -531*w**3/5 + 372*w**2/5 - 12*w/5.
-3*w*(3*w - 2)*(59*w - 2)/5
Determine j so that -j**2/5 - 6*j/5 + 16/5 = 0.
-8, 2
Factor -5*z**2/4 + 15*z/4 + 50.
-5*(z - 8)*(z + 5)/4
Determine b, given that -2*b**5 - 70*b**4 - 686*b**3 - 2058*b**2 = 0.
-21, -7, 0
Let h**3 + 11*h**2 - 26*h = 0. What is h?
-13, 0, 2
Factor y**5/2 + 2*y**4 + 3*y**3/2 - 2*y**2 - 2*y.
y*(y - 1)*(y + 1)*(y + 2)**2/2
Factor -2*o**3 - 684*o**2 - 670*o + 4092.
-2*(o - 2)*(o + 3)*(o + 341)
Let -2*d**2/23 + 328*d/23 - 13448/23 = 0. Calculate d.
82
Factor l**4 - l**3 - l**2 + l.
l*(l - 1)**2*(l + 1)
Factor 5*b**2 + 355*b + 350.
5*(b + 1)*(b + 70)
Factor -2*p**2/7 + 590*p/7.
-2*p*(p - 295)/7
Factor -z**2/7 + 815*z/7 - 1626/7.
-(z - 813)*(z - 2)/7
Let 31*o**2 + 48*o/7 - 4/7 = 0. What is o?
-2/7, 2/31
Suppose -h**3 + 38*h**2 + 211*h + 172 = 0. What is h?
-4, -1, 43
Determine m so that -2*m**2/9 + 2 = 0.
-3, 3
Factor -z**3 - 12*z**2 + 27*z - 14.
-(z - 1)**2*(z + 14)
Factor -2*q**4/3 - 40*q**3/9 - 26*q**2/3 - 4*q.
-2*q*(q + 3)**2*(3*q + 2)/9
Solve -2*l**4/9 - 4*l**3/3 - 16*l**2/9 = 0 for l.
-4, -2, 0
Solve 14*d**5 - 108*d**4 - 32*d**3 = 0.
-2/7, 0, 8
Factor -4*t**5 - 16*t**4 - 20*t**3 - 8*t**2.
-4*t**2*(t + 1)**2*(t + 2)
Find j, given that -3*j**2 + 54*j + 57 = 0.
-1, 19
Find q, given that -3*q**5 + 39*q**4 - 93*q**3 + 21*q**2 + 96*q - 60 = 0.
-1, 1, 2, 10
Factor j**5/4 - 2*j**4 - 5*j**3/2 + 2*j**2 + 9*j/4.
j*(j - 9)*(j - 1)*(j + 1)**2/4
Factor 9*g**3 - 507*g**2 + 1611*g - 1113.
3*(g - 53)*(g - 1)*(3*g - 7)
Suppose -6*z**5 - 5*z**4 + 42*z**3 - z**2 - 30*z = 0. What is z?
-3, -5/6, 0, 1, 2
Let g**2/4 + 65*g/4 + 16 = 0. Calculate g.
-64, -1
Determine m, given that -2*m**4 - 12*m**3 - 18*m**2 + 8*m + 24 = 0.
-3, -2, 1
Suppose -3*i**3 + 3600*i**2 - 1080000*i = 0. Calculate i.
0, 600
Factor -g**4/9 + 43*g**3/9 - 440*g**2/9 - 484*g/9.
-g*(g - 22)**2*(g + 1)/9
Factor -2*i**2/15 - 44*i/15 + 32/5.
-2*(i - 2)*(i + 24)/15
Find t such that 3*t**5 - 33*t**4 - 9*t**3 + 93*t**2 + 66*t = 0.
-1, 0, 2, 11
Factor -3*a**4 + 99*a**3 - 654*a**2 - 2700*a - 1944.
-3*(a - 18)**2*(a + 1)*(a + 2)
Find k, given that 2*k**5/21 + 4*k**4/21 - 40*k**3/21 - 16*k**2/21 + 256*k/21 - 256/21 = 0.
-4, 2
Factor 2*h**2 + 998*h + 4940.
2*(h + 5)*(h + 494)
Solve 52*q**4 + 72*q**3 = 0.
-18/13, 0
Determine q, given that 2*q**4/9 + 56*q**3 + 502*q**2/9 = 0.
-251, -1, 0
Factor -p**4 + 18*p**3 - 81*p**2 + 112*p - 48.
-(p - 12)*(p - 4)*(p - 1)**2
Let -l**4/2 - 55*l**3/4 + 9*l**2 + 55*l - 28 = 0. Calculate l.
-28, -2, 1/2, 2
Determine b, given that 135*b**5 - 52920*b**4 + 105480*b**3 - 70250*b**2 + 19505*b - 1950 = 0.
1/3, 1, 390
Factor -5*f**3 + 315*f**2 - 1735*f + 1425.
-5*(f - 57)*(f - 5)*(f - 1)
Solve d**2 + 434*d - 435 = 0 for d.
-435, 1
Solve 3*l**3/2 - 45*l**2 + 162*l - 156 = 0.
2, 26
Let -2*f**3 + 226*f**2/3 - 146*f/3 - 74/3 = 0. Calculate f.
-1/3, 1, 37
Find b, given that b**4 - 9*b**3 - 11*b**2 + 9*b + 10 = 0.
-1, 1, 10
Factor k**2 + 20*k + 100.
(k + 10)**2
Factor -5*n**3 - 200*n**2 - 1540*n + 9680.
-5*(n - 4)*(n + 22)**2
Factor -s**2 - 651*s + 652.
-(s - 1)*(s + 652)
Factor -3*g**5 - 24*g**4 - 18*g**3 + 120*g**2 - 75*g.
-3*g*(g - 1)**2*(g + 5)**2
Factor 2*j**3/7 + 622*j**2/7 - 2*j/7 - 622/7.
2*(j - 1)*(j + 1)*(j + 311)/7
What is h in -82*h**2/7 - 16*h - 30/7 = 0?
-1, -15/41
Solve -3*q**3 