 - 11)*(5*r - 2)
Factor c**2/3 + 14*c/3 + 49/3.
(c + 7)**2/3
Factor -2*f**3/13 + 86*f**2/13 - 80*f + 2400/13.
-2*(f - 20)**2*(f - 3)/13
Suppose h**3/2 - 393*h**2/2 + 51483*h/2 - 2248091/2 = 0. Calculate h.
131
Let 2*d**2/3 + 38*d/3 + 56 = 0. What is d?
-12, -7
Let -2*w**2/5 + 2*w + 12/5 = 0. Calculate w.
-1, 6
Suppose 2*s**3 - 50*s**2 - 744*s - 1728 = 0. Calculate s.
-8, -3, 36
Suppose -2*c**4/3 - 28*c**3/3 + 74*c**2/3 + 148*c/3 - 64 = 0. Calculate c.
-16, -2, 1, 3
Solve 5*w**3 - 1530*w**2 + 156060*w - 5306040 = 0.
102
Factor -5*h**3/3 - 55*h**2/3 + 130*h/3.
-5*h*(h - 2)*(h + 13)/3
Factor 2*j**2/7 - 8*j - 960/7.
2*(j - 40)*(j + 12)/7
Suppose -2*p**4/3 - 44*p**3/15 + 104*p**2/15 + 16*p/5 = 0. Calculate p.
-6, -2/5, 0, 2
Factor 2*a**5 - 27*a**4 - 48*a**3 + 38*a**2 + 102*a + 45.
(a - 15)*(a + 1)**3*(2*a - 3)
Suppose -606015*b**4 - 397980*b**3 + 206010*b**2 - 2020*b + 5 = 0. What is b?
-1, 1/201, 1/3
Factor 2*r**4/5 + 2*r**3 + 18*r**2/5 + 14*r/5 + 4/5.
2*(r + 1)**3*(r + 2)/5
Suppose -l**3/3 + 116*l**2/3 - 3364*l/3 = 0. Calculate l.
0, 58
Let 2*a**3/3 + 20*a**2/9 - 16*a/9 = 0. What is a?
-4, 0, 2/3
Factor -5*c**4 - 595*c**3 - 23985*c**2 - 342225*c - 593190.
-5*(c + 2)*(c + 39)**3
Factor t**4/6 + t**3/6.
t**3*(t + 1)/6
Determine y so that -3*y**3 - 891*y**2/4 - 8325*y/2 - 4107/4 = 0.
-37, -1/4
Factor -4*m**2 + 1540*m - 1536.
-4*(m - 384)*(m - 1)
Factor -2*i**2/9 + 202*i/9 + 220.
-2*(i - 110)*(i + 9)/9
Suppose -16*j**2 + 548*j - 660 = 0. What is j?
5/4, 33
Factor 5*w**2 - 130*w - 135.
5*(w - 27)*(w + 1)
Solve 27*r**5/5 + 504*r**4/5 + 3243*r**3/5 + 1566*r**2 + 4212*r/5 + 648/5 = 0 for r.
-6, -1/3
Solve -6*c**4/7 + 78*c**3/7 - 12*c**2/7 - 96*c - 576/7 = 0 for c.
-2, -1, 4, 12
Find s, given that s**3/5 + s**2/5 - 14*s/5 - 24/5 = 0.
-3, -2, 4
What is z in -2*z**5/9 + 76*z**4/9 - 1004*z**3/9 + 5168*z**2/9 - 7618*z/9 + 3380/9 = 0?
1, 10, 13
Factor -2*y**3/5 + 298*y**2/5 - 2190*y - 2250.
-2*(y - 75)**2*(y + 1)/5
Factor 5*p**4 - 10*p**3 - 55*p**2 + 60*p.
5*p*(p - 4)*(p - 1)*(p + 3)
Determine n so that 2*n**2/17 - 90*n/17 + 88/17 = 0.
1, 44
Factor -2*m**2/3 + 20*m/3 - 6.
-2*(m - 9)*(m - 1)/3
Factor 4*l**2/3 - 16*l.
4*l*(l - 12)/3
Factor -s**4 - 8*s**3 - 12*s**2.
-s**2*(s + 2)*(s + 6)
Factor -2*c**2/7 - 64*c/7 + 66/7.
-2*(c - 1)*(c + 33)/7
Determine y, given that -8*y**4/11 + 6*y**3 - 8*y**2/11 - 6*y + 16/11 = 0.
-1, 1/4, 1, 8
Factor -2*b**3 + 9*b**2/2 - b.
-b*(b - 2)*(4*b - 1)/2
Determine l so that -4*l**2/3 - 520*l/3 - 16900/3 = 0.
-65
Factor -3*o**2 + 33*o.
-3*o*(o - 11)
Find r such that -3*r**2 - 120*r + 387 = 0.
-43, 3
Let -15*y**5 + 3642*y**4/7 + 38175*y**3/7 - 27456*y**2/7 + 4644*y/7 = 0. What is y?
-9, 0, 2/7, 2/5, 43
Factor k**2/3 - 20*k/3 - 7.
(k - 21)*(k + 1)/3
Suppose 3*o**3 + 18*o**2 - 45*o + 24 = 0. Calculate o.
-8, 1
Factor d**3 - 134*d**2 + 4489*d.
d*(d - 67)**2
Determine j, given that -12*j**4 - 56*j**3 + 116*j**2 + 112*j - 48 = 0.
-6, -1, 1/3, 2
Let -3*b**2 + 9*b + 30 = 0. What is b?
-2, 5
Factor 5*z**2 + 80*z + 75.
5*(z + 1)*(z + 15)
What is a in -2*a**3/3 + 6*a**2 - 28*a/3 - 16 = 0?
-1, 4, 6
Factor -25*y**3/3 - 1115*y**2/3 - 3952*y + 4332.
-(y - 1)*(5*y + 114)**2/3
Suppose 4*r**3 - 2408*r**2 - 4*r + 2408 = 0. Calculate r.
-1, 1, 602
Factor -2*k**4 + 4*k**3 + 2*k**2 - 4*k.
-2*k*(k - 2)*(k - 1)*(k + 1)
Suppose 2*k**5/7 + 6*k**4/7 - 16*k**3 + 264*k**2/7 - 160*k/7 = 0. Calculate k.
-10, 0, 1, 2, 4
Suppose 6*q**5 + 8*q**4 - 382*q**3/3 + 676*q**2/3 - 328*q/3 + 16 = 0. What is q?
-6, 1/3, 2
Factor 14*x**2 + 3916*x + 6672.
2*(x + 278)*(7*x + 12)
Factor -v**2 + 6980*v - 12180100.
-(v - 3490)**2
Find d such that 4*d**5 + 32*d**4 + 64*d**3 = 0.
-4, 0
Solve -g**3/5 + 299*g**2/5 - 4440*g - 4500 = 0.
-1, 150
Suppose j**4/4 - 13*j**3/4 - 19*j**2/4 + 73*j/4 - 21/2 = 0. Calculate j.
-3, 1, 14
Factor -3*s**3 + 105*s**2 - 174*s - 792.
-3*(s - 33)*(s - 4)*(s + 2)
Find u, given that 3*u**3 + 198*u**2 + 3267*u = 0.
-33, 0
Let -196*m**3 + 1848*m**2 - 5616*m + 5408 = 0. What is m?
2, 26/7
Solve 2*s**5/7 + 2*s**4/7 - 4*s**3 + 52*s**2/7 - 38*s/7 + 10/7 = 0.
-5, 1
Solve -4*y**5 - 40*y**4 - 128*y**3 - 104*y**2 + 132*y + 144 = 0.
-4, -3, -1, 1
Find j, given that -5*j**3/4 - 25*j**2/2 - 45*j/4 = 0.
-9, -1, 0
Factor 4*k**2 + 1416*k - 7180.
4*(k - 5)*(k + 359)
Suppose 3*s**5/5 - 6*s**3/5 + 3*s/5 = 0. What is s?
-1, 0, 1
Factor 3*y**3/4 + 15*y**2 - 279*y/4 + 54.
3*(y - 3)*(y - 1)*(y + 24)/4
Find j, given that -2*j**5/7 - 44*j**4/7 - 34*j**3 - 436*j**2/7 - 240*j/7 = 0.
-15, -4, -2, -1, 0
Factor -q**5 + 4*q**4 + 3*q**3 - 14*q**2 + 8*q.
-q*(q - 4)*(q - 1)**2*(q + 2)
Factor -g**3/6 - 169*g**2/2 + 1715*g/2 - 12925/6.
-(g - 5)**2*(g + 517)/6
Factor -5*j**3/4 - 45*j**2 + 195*j - 200.
-5*(j - 2)**2*(j + 40)/4
Find l such that 2*l**3 - 290*l**2 + 6806*l + 289338 = 0.
-21, 83
Factor -3*j**5 - 54*j**4 + 72*j**3 + 4560*j**2 + 3600*j - 108000.
-3*(j - 6)**2*(j + 10)**3
Suppose -74*a**3 + 70*a**2 + 4*a = 0. What is a?
-2/37, 0, 1
Suppose -2*k**4 - 50*k**3 + 2*k**2 + 50*k = 0. What is k?
-25, -1, 0, 1
Factor -2*w**5/7 - 2*w**4/7 + 6*w**3/7 + 10*w**2/7 + 4*w/7.
-2*w*(w - 2)*(w + 1)**3/7
Factor 10*w**2 + 1314*w + 524.
2*(w + 131)*(5*w + 2)
Let -i**4/2 - 38*i**3 - 1083*i**2 - 13718*i - 130321/2 = 0. Calculate i.
-19
Let -4*y**4 - 20*y**3 - 36*y**2 - 28*y - 8 = 0. What is y?
-2, -1
Suppose 4*s**3/7 - 2*s**2/7 - 12*s/7 = 0. Calculate s.
-3/2, 0, 2
Factor -2*v**3 - 14*v**2 + 80*v + 200.
-2*(v - 5)*(v + 2)*(v + 10)
What is h in h**2/4 - 43*h/4 - 11 = 0?
-1, 44
Solve -2*r**3/9 + 18*r**2 - 1120*r/3 + 3200/9 = 0.
1, 40
Factor f**2/3 + 185*f/3 - 788.
(f - 12)*(f + 197)/3
Factor -3*b**3 - 228*b**2 - 873*b - 648.
-3*(b + 1)*(b + 3)*(b + 72)
Factor 2*x**4/3 - 110*x**3/3 + 204*x**2 - 1192*x/3 + 784/3.
2*(x - 49)*(x - 2)**3/3
Factor 5*v**2 + 1055*v + 3120.
5*(v + 3)*(v + 208)
Let -x**2/4 - 121*x/4 + 93 = 0. What is x?
-124, 3
Determine d, given that d**5/7 - 3*d**4/7 - d**3/7 + 11*d**2/7 - 12*d/7 + 4/7 = 0.
-2, 1, 2
Factor a**3/4 + 73*a**2/4 - 113*a/2 + 38.
(a - 2)*(a - 1)*(a + 76)/4
Factor 2*y**3/7 + 72*y**2/7 + 526*y/7 - 600/7.
2*(y - 1)*(y + 12)*(y + 25)/7
Suppose -4*p**2 - 312*p - 1460 = 0. Calculate p.
-73, -5
Factor 5*j**3 + 30*j**2 + 60*j + 40.
5*(j + 2)**3
Factor -2*w**4 + 32*w**3 + 78*w**2 - 108*w.
-2*w*(w - 18)*(w - 1)*(w + 3)
Factor -4*q**2 + 1248*q.
-4*q*(q - 312)
Factor -171*r**2 - 678*r + 24.
-3*(r + 4)*(57*r - 2)
Suppose 3*g**5 + 51*g**4 + 120*g**3 - 888*g**2 + 240*g + 1200 = 0. Calculate g.
-10, -1, 2
Suppose -4*t**5 + 4*t**4 + 52*t**3 - 4*t**2 - 48*t = 0. Calculate t.
-3, -1, 0, 1, 4
Suppose z**2/3 + 22*z/3 + 7 = 0. Calculate z.
-21, -1
Let -z**3/3 + 2*z**2/3 + z = 0. Calculate z.
-1, 0, 3
Factor -169*a**3 - 104*a**2 - 16*a.
-a*(13*a + 4)**2
Factor -j**2/4 - 161*j/4.
-j*(j + 161)/4
Suppose -4*q**2/9 + 1880*q/9 - 1876/9 = 0. Calculate q.
1, 469
Solve 64*o**4/3 - 608*o**3/3 + 268*o**2 - 96*o = 0.
0, 3/4, 8
Factor 2*d**5/11 + 4*d**4/11 - 4*d**3/11 - 16*d**2/11 - 14*d/11 - 4/11.
2*(d - 2)*(d + 1)**4/11
Factor 8*o**3/13 + 66*o**2/13 + 136*o/13 + 30/13.
2*(o + 3)*(o + 5)*(4*o + 1)/13
Determine s so that -6*s**5 + 129*s**4/2 - 411*s**3/2 + 429*s**2/2 - 81*s/2 - 27 = 0.
-1/4, 1, 3, 6
Factor 3*m**2/5 + 63*m/5 + 54.
3*(m + 6)*(m + 15)/5
Let -l**2 + 122*l + 1320 = 0. Calculate l.
-10, 132
Find b such that 4*b**3 - 72*b**2 - 540*b - 864 = 0.
-3, 24
Factor -2*g**3/7 + 332*g**2/7 - 17250*g/7 + 38088.
-2*(g - 69)**2*(g - 28)/7
Factor p**4 + 161*p**3 + 5118*p**2 - 113696*p + 108416.
(p - 14)*(p - 1)*(p + 88)**2
Factor -u**2/4 + 11*u/2 + 23/4.
-(u - 23)*(u + 1)/4
Determine o so that 1995*o**3 - 3980*o**2 - 20*o = 0.
-2/399, 0, 2
Determine w, given that 3*w**2 + 1071*w - 2154 = 0.
-359, 2
What is u in 9*u**5 + 123*u**4 + 63*u**3 - 195*u**2 = 0?
-13, -5/3, 0, 1
Factor 4*h**4 - 20*h**3 + 16*h**2.
4*h**2*(h - 4)*(h - 1)
Factor -5*b**2 - 25*b + 30.
-5*(b - 1)*(b + 6)
Suppose 3*d**2 + 15*d - 612 = 0. Calculate d.
-17, 12
Factor 2*p**2 - 8*p - 24.
2*(p - 6)*(p + 2)
Find c, given that -9*c**5 - 6*c**4 + 111*c**3 + 216*c**2 + 60*c - 48 = 0.
-2, -1, 1/3, 4
Factor -3*o**3 + 342*o**2 - 675*o + 336.
-3*(o - 112)*(o - 1)**2
Find y, given that -y**5 + 24*y**4 - 102*y**3 + 136*y**2 - 57*y = 0.
0, 1, 3, 19
Find t, given that 5*t**3/2 + 25*t**2 - 355*t/2 + 150 = 0.
-15, 1, 4
Factor 2*u**4 - 320*u**3 + 11100*u**2 + 1