**3/13 - 4060*b**2/13 + 128*b - 192/13.
2*(7*b - 4)**2*(31*b - 6)/13
Factor 3*a**3/7 - 198*a**2 - 2781*a/7 - 1392/7.
3*(a - 464)*(a + 1)**2/7
Let 2*h**4/21 + 10*h**3/21 - 16*h**2/21 - 32*h/7 = 0. What is h?
-4, 0, 3
Solve -o**3 + 44*o**2 + 241*o + 196 = 0.
-4, -1, 49
Solve -3*c**5 + 59*c**4 - 277*c**3 - 159*c**2 + 280*c + 100 = 0 for c.
-1, -1/3, 1, 10
Find d such that -3*d**2/2 + 630*d - 66150 = 0.
210
Factor -2*z**5 + 4*z**4 + 22*z**3 - 24*z**2 - 72*z.
-2*z*(z - 3)**2*(z + 2)**2
Factor -s**4 - 20*s**3 - 67*s**2 - 48*s.
-s*(s + 1)*(s + 3)*(s + 16)
Factor f**2/5 - 38*f/5 + 361/5.
(f - 19)**2/5
Determine a, given that 14*a**5 + 39*a**4 - 11*a**3 - 62*a**2 + 12*a + 8 = 0.
-2, -2/7, 1/2, 1
Determine i, given that -i**3/4 - 751*i**2/2 - 141375*i - 281250 = 0.
-750, -2
Factor -l**4 + 33*l**3 + 34*l**2.
-l**2*(l - 34)*(l + 1)
Factor z**4/2 - 221*z**3/2 + 12099*z**2/2 + 12321*z/2.
z*(z - 111)**2*(z + 1)/2
Factor 5*t**3 - 70*t**2 - 5*t + 70.
5*(t - 14)*(t - 1)*(t + 1)
Find h such that -h**4 + 108*h**3 + 1392*h**2 + 5696*h + 7680 = 0.
-4, 120
Factor 4*b**3 - 243*b - 729.
(b - 9)*(2*b + 9)**2
Factor -2*v**2/13 - 12*v/13 + 80/13.
-2*(v - 4)*(v + 10)/13
Suppose -3*k**3/7 + 1245*k**2/7 + 3*k/7 - 1245/7 = 0. What is k?
-1, 1, 415
Factor q**4/2 - 3*q**3 + 16*q.
q*(q - 4)**2*(q + 2)/2
Factor -5*g**2 + 1980*g - 3940.
-5*(g - 394)*(g - 2)
Determine v, given that 4*v**4 + 22*v**3 - 58*v**2 - 118*v - 42 = 0.
-7, -1, -1/2, 3
Find y such that -4*y**3 + 192*y**2 = 0.
0, 48
Suppose 4*k**3 + 516*k**2 = 0. What is k?
-129, 0
Factor -4*r**2 + 36*r.
-4*r*(r - 9)
Factor -2*s**2/19 - 80*s/19 - 78/19.
-2*(s + 1)*(s + 39)/19
Determine d so that d**2/9 - 68*d/3 = 0.
0, 204
What is r in -2*r**4/9 + 16*r**3/9 + 2*r**2/3 - 52*r/9 + 32/9 = 0?
-2, 1, 8
Factor -k**3 + 7*k**2 - 6*k.
-k*(k - 6)*(k - 1)
Suppose g**3/3 - 1433*g**2/3 + 514088*g/3 - 512656/3 = 0. Calculate g.
1, 716
Factor -5*x**2.
-5*x**2
Find r such that 18*r**5/7 - 20*r**4/7 - 160*r**3/7 - 180*r**2/7 - 50*r/7 + 8/7 = 0.
-1, 1/9, 4
Factor 5*c**2/2 - 435*c + 37845/2.
5*(c - 87)**2/2
Factor 2*u**3/13 - 2*u**2/13 - 4*u/13.
2*u*(u - 2)*(u + 1)/13
Factor -i**3/3 - 14*i**2 + i/3 + 14.
-(i - 1)*(i + 1)*(i + 42)/3
Factor -448*p**3 + 340*p**2 + 109*p - 1.
-(p - 1)*(4*p + 1)*(112*p - 1)
Factor 4*f**3/7 + 104*f**2/7 - 620*f/7.
4*f*(f - 5)*(f + 31)/7
Solve 3*f**2/2 + 633*f + 1260 = 0 for f.
-420, -2
Factor 2*m**4/3 + 14*m**3/3 + 8*m**2 - 8*m/3 - 32/3.
2*(m - 1)*(m + 2)**2*(m + 4)/3
Factor -2*s**4/11 + 28*s**3 - 15186*s**2/11 + 23296*s - 1384448/11.
-2*(s - 64)**2*(s - 13)**2/11
Solve 4*k**5 + 16*k**4/3 - 236*k**3/3 - 80*k**2/3 = 0.
-5, -1/3, 0, 4
Factor -4*l**4 - 4*l**3 + 148*l**2 - 140*l.
-4*l*(l - 5)*(l - 1)*(l + 7)
Factor 2*j**3 - 577*j**2/2 + 72*j.
j*(j - 144)*(4*j - 1)/2
Factor 162*m**3/5 + 828*m**2 - 1864*m/5 + 208/5.
2*(m + 26)*(9*m - 2)**2/5
Factor 3*f**4/7 + 30*f**3/7 + 108*f**2/7 + 162*f/7 + 81/7.
3*(f + 1)*(f + 3)**3/7
Find h such that -4*h**3/5 - 2137*h**2/5 - 57138*h - 71289/5 = 0.
-267, -1/4
Factor -4*o**2 - 204*o.
-4*o*(o + 51)
Find d, given that 3*d**3 + 6*d**2 - 3*d - 6 = 0.
-2, -1, 1
Suppose -5*a**4 - 515*a**3 - 2450*a**2 = 0. Calculate a.
-98, -5, 0
Factor -2*c**5/5 - 22*c**4/5.
-2*c**4*(c + 11)/5
Factor -j**3 + 8*j**2 - 11*j - 20.
-(j - 5)*(j - 4)*(j + 1)
Factor -3*w**2 - 2562*w - 546987.
-3*(w + 427)**2
Factor -f**5 - 10*f**4 + 3*f**3 + 28*f**2 - 20*f.
-f*(f - 1)**2*(f + 2)*(f + 10)
Let 4*r**4 - 2340*r**3 + 345716*r**2 - 1020828*r + 677448 = 0. What is r?
1, 2, 291
Suppose -5*z**4 - 45*z**3 - 40*z**2 = 0. Calculate z.
-8, -1, 0
Factor -5*d**5 - 20*d**4 + 70*d**2 + 85*d + 30.
-5*(d - 2)*(d + 1)**3*(d + 3)
Factor 2*t**2 - 8692*t + 9443858.
2*(t - 2173)**2
Let g**5 + 6*g**4 + 9*g**3 + 4*g**2 = 0. What is g?
-4, -1, 0
Factor 10*x**5 + 26*x**4 + 22*x**3 + 6*x**2.
2*x**2*(x + 1)**2*(5*x + 3)
Determine h so that 4*h**2 + 1704*h - 1708 = 0.
-427, 1
Let 2*c**2/17 + 12*c/17 - 14/17 = 0. What is c?
-7, 1
Factor -4*s**2 - 684*s + 1384.
-4*(s - 2)*(s + 173)
Factor 9*f**2 + 14*f/5 + 1/5.
(5*f + 1)*(9*f + 1)/5
Factor -d**3/11 + 25*d**2/11 - 2*d - 48/11.
-(d - 24)*(d - 2)*(d + 1)/11
Find d such that d**2/2 + 32*d + 512 = 0.
-32
Factor -t**4/4 + 3*t**2/2 + 2*t + 3/4.
-(t - 3)*(t + 1)**3/4
Solve -a**3/2 + 6*a**2 - 11*a/2 = 0 for a.
0, 1, 11
What is t in -4*t**5 - 4*t**4 + 36*t**3 + 52*t**2 - 32*t - 48 = 0?
-2, -1, 1, 3
Solve 3*h**2 - 264*h = 0.
0, 88
Factor 4*w**3 - 36*w**2 + 8*w + 192.
4*(w - 8)*(w - 3)*(w + 2)
Factor -3*h**4 - 51*h**3 - 93*h**2 - 45*h.
-3*h*(h + 1)**2*(h + 15)
What is l in -l**2/5 - 259*l/5 + 522/5 = 0?
-261, 2
Factor r**4 + 11*r**3 - r**2 - 11*r.
r*(r - 1)*(r + 1)*(r + 11)
Solve 2*m**3/7 + 104*m**2/7 + 202*m/7 + 100/7 = 0.
-50, -1
Find f, given that 2*f**5/9 - 8*f**4/9 + 2*f**3/9 + 4*f**2/3 = 0.
-1, 0, 2, 3
Factor 5*n**2 - 16860*n + 14212980.
5*(n - 1686)**2
Factor -2*r**4 - 23*r**3 + 66*r**2 - 55*r + 14.
-(r - 1)**2*(r + 14)*(2*r - 1)
Factor b**2 - 25*b.
b*(b - 25)
Determine m so that -15*m**4 + 265*m**3 - 810*m**2 - 3300*m - 1000 = 0.
-2, -1/3, 10
Let f**4/2 + 3*f**3/2 + f**2/2 - 3*f/2 - 1 = 0. Calculate f.
-2, -1, 1
Suppose 40*t**5 - 4*t**4 - 28*t**3 - 8*t**2 = 0. What is t?
-1/2, -2/5, 0, 1
Factor 4*n**4 - 12*n**3 + 8*n**2.
4*n**2*(n - 2)*(n - 1)
Solve 225*j**4 - 534*j**3 + 171*j**2 - 6*j = 0 for j.
0, 1/25, 1/3, 2
Find s, given that s**5/3 - 49*s**4/3 + 31*s**3 + 49*s**2/3 - 94*s/3 = 0.
-1, 0, 1, 2, 47
Factor -72*z**2 - 1364*z + 76.
-4*(z + 19)*(18*z - 1)
Factor 2*s**4/3 + 8*s**3/3 + 2*s**2 - 8*s/3 - 8/3.
2*(s - 1)*(s + 1)*(s + 2)**2/3
Suppose 2*s**5/5 - 14*s**4/5 - 54*s**3/5 - 58*s**2/5 - 4*s = 0. What is s?
-1, 0, 10
What is r in 3*r**4/2 - 438*r**3 + 2601*r**2/2 + 6*r - 1734 = 0?
-1, 2, 289
Factor -8*q**2/3 + 315*q - 118/3.
-(q - 118)*(8*q - 1)/3
What is d in -4*d**5 - 20*d**4 + 8*d**3 + 112*d**2 + 32*d - 128 = 0?
-4, -2, 1, 2
Let -5*g**2 - 46200*g - 106722000 = 0. Calculate g.
-4620
Factor f**4/9 - 52*f**3/9 + 260*f**2/9 + 736*f/9.
f*(f - 46)*(f - 8)*(f + 2)/9
Suppose d**4/4 + 2*d**3 + 21*d**2/4 + 9*d/2 = 0. What is d?
-3, -2, 0
Suppose p**4 + 4*p**3 - p**2 - 16*p - 12 = 0. What is p?
-3, -2, -1, 2
Factor 2*w**3/5 - 54*w/5 + 108/5.
2*(w - 3)**2*(w + 6)/5
Let -4*a**2/5 + 1104*a/5 - 76176/5 = 0. What is a?
138
Suppose -l**5/6 + 4*l**4 + 25*l**3/2 - 287*l**2/3 - 128*l + 624 = 0. Calculate l.
-4, 3, 26
What is s in 3*s**4 + 6*s**3 - 201*s**2 - 780*s - 756 = 0?
-7, -2, 9
Factor -y**3/6 + 3*y**2/2 + y/6 - 3/2.
-(y - 9)*(y - 1)*(y + 1)/6
Solve -2*m**4/9 - 4*m**3/9 + 136*m**2/9 + 112*m/3 - 128 = 0 for m.
-6, 2, 8
Suppose h**5/2 + 15*h**4/2 + 33*h**3/2 - 115*h**2/2 + 33*h = 0. Calculate h.
-11, -6, 0, 1
Factor 2*d**2 - 44*d - 270.
2*(d - 27)*(d + 5)
Determine l, given that 2*l**4/5 + 14*l**3/5 - 4*l**2 - 32*l/5 = 0.
-8, -1, 0, 2
Solve -2*z**3/15 + 422*z/15 + 28 = 0.
-14, -1, 15
Solve 20*m**5 + 232*m**4 + 944*m**3 + 1504*m**2 + 512*m - 512 = 0.
-4, -2, 2/5
Factor f**5 + 5*f**4 - 2*f**3 - 10*f**2 + f + 5.
(f - 1)**2*(f + 1)**2*(f + 5)
Factor 2*i**2/11 - 4*i + 22.
2*(i - 11)**2/11
Determine v so that 16*v**4/5 - 16*v**3/5 - 28*v**2 + 144*v/5 - 36/5 = 0.
-3, 1/2, 3
Factor -d**2/3 + 3*d - 8/3.
-(d - 8)*(d - 1)/3
Factor -2*a**3/9 + 218*a**2/9 - 6448*a/9 + 27040/9.
-2*(a - 52)**2*(a - 5)/9
Factor i**2/4 - 2024*i + 4096576.
(i - 4048)**2/4
Factor -5*d**3 + 70*d**2 - 200*d.
-5*d*(d - 10)*(d - 4)
Let -w**3/7 - 5*w**2/7 - w - 3/7 = 0. Calculate w.
-3, -1
Factor d**4/9 - 20*d**3/9 + 13*d**2/9 + 38*d/3.
d*(d - 19)*(d - 3)*(d + 2)/9
Find m such that 3*m**5/4 - m**4/4 - 9*m**3/4 + 9*m**2/4 - m/2 = 0.
-2, 0, 1/3, 1
Factor 244*o**5 + 1944*o**4 + 5792*o**3 + 7616*o**2 + 3648*o - 128.
4*(o + 2)**4*(61*o - 2)
Factor -p**3/2 - 5*p**2 - 6*p + 36.
-(p - 2)*(p + 6)**2/2
Factor -3*k**3/4 - 45*k**2/4 - 69*k/4 + 117/4.
-3*(k - 1)*(k + 3)*(k + 13)/4
What is z in -12*z**3 - 129*z**2 + 177*z - 36 = 0?
-12, 1/4, 1
Let -t**4/8 - 3*t**3/8 + 4*t**2 - 15*t/2 + 4 = 0. Calculate t.
-8, 1, 2
Factor -5*q**4 - 25*q**3 + 65*q**2 - 35*q.
-5*q*(q - 1)**2*(q + 7)
Factor -2*n**4 + 238*n**3 - 6960*n**2 - 7200*n.
-2*n*(n - 60)**2*(n + 1)
Find o such that -o**5/2 - 8*o**4 - 47*o**3/2 + 68*o**2 + 264*o = 0.
-11, -4, 0, 3
Solve -2*n**4/9 + 436*n**3/9 - 24616*n**2/9 + 92876*n/9 - 22898/3 = 0 for n.
1, 3, 107
Factor 2*s**4 + 4*s**3 - 11*s**2/2 - 33*s/2 -