 0.
-2, 1, 3
Solve 4*c**5 - 692*c**4 + 28136*c**3 + 156248*c**2 + 101460*c - 285156 = 0 for c.
-3, 1, 89
Let 2*a**3/9 + 44*a**2/9 - 394*a/9 + 116/3 = 0. Calculate a.
-29, 1, 6
Factor -4*h**2 + 2112*h - 278784.
-4*(h - 264)**2
Determine i so that 3*i**3 - 42*i**2 + 180*i - 216 = 0.
2, 6
Factor 4*m**4 + 268*m**3 + 3444*m**2 - 35372*m + 54760.
4*(m - 5)*(m - 2)*(m + 37)**2
Let 18*y**3/7 - 4*y**2/7 - 72*y/7 + 16/7 = 0. Calculate y.
-2, 2/9, 2
Factor 4*w**4 + 96*w**3 - 220*w**2 - 312*w.
4*w*(w - 3)*(w + 1)*(w + 26)
Suppose 99*c**3/5 + 69*c**2 - 726*c/5 + 24 = 0. Calculate c.
-5, 2/11, 4/3
Factor 2*k**4 - 18*k**3 + 16*k**2.
2*k**2*(k - 8)*(k - 1)
Factor -3*m**2 + 57*m - 264.
-3*(m - 11)*(m - 8)
Determine u so that -2*u**2/9 - 14*u/3 - 40/9 = 0.
-20, -1
Suppose -3*i**3 + 408*i**2 + 828*i = 0. Calculate i.
-2, 0, 138
Find j such that j**4/2 + 20*j**3 + 347*j**2/2 + 154*j = 0.
-28, -11, -1, 0
Factor o**4/3 + 4*o**3/3 - o**2/3 - 4*o/3.
o*(o - 1)*(o + 1)*(o + 4)/3
Factor -4*a**2/7 - 146*a/7 + 74/7.
-2*(a + 37)*(2*a - 1)/7
Suppose 2*t**4/5 + 6*t**3/5 + 4*t**2/5 = 0. What is t?
-2, -1, 0
Determine l, given that l**5 - 14*l**4 - 111*l**3 - 180*l**2 = 0.
-3, 0, 20
What is q in 3*q**4 - 12*q**3 + 3*q**2 + 18*q = 0?
-1, 0, 2, 3
Factor -5*q**2 - 23735*q - 23730.
-5*(q + 1)*(q + 4746)
Suppose -t**2/6 + 21*t - 1323/2 = 0. What is t?
63
Determine q so that 3*q**2/2 - 3*q/2 - 30 = 0.
-4, 5
Let 5*s**2 + 35*s + 30 = 0. What is s?
-6, -1
Factor -2*q**4/3 - 46*q**3/3 - 40*q**2.
-2*q**2*(q + 3)*(q + 20)/3
Factor -135*n**3 - 1360*n**2 - 3340*n - 240.
-5*(n + 4)*(n + 6)*(27*n + 2)
Factor 5145*c**3 + 2695*c**2 + 280*c - 20.
5*(7*c + 2)**2*(21*c - 1)
Solve -t**2/4 + 1015*t/2 - 1030225/4 = 0.
1015
What is p in -3*p**5 - 189*p**4 + 594*p**3 = 0?
-66, 0, 3
Factor -4*a**3 - 596*a**2 - 2336*a - 2320.
-4*(a + 2)**2*(a + 145)
What is u in 8*u**5 + 5270*u**4 - 6599*u**3 + 661*u**2 + 660*u = 0?
-660, -1/4, 0, 1/2, 1
Determine m so that 4*m**5/3 + 8*m**4/3 - 44*m**3 - 296*m**2/3 + 896*m/3 + 640 = 0.
-4, -2, 3, 5
Factor 5*l**2 - 100*l + 180.
5*(l - 18)*(l - 2)
Factor -12*q**4 - 44*q**3 - 32*q**2 + 16*q.
-4*q*(q + 2)**2*(3*q - 1)
Factor a**4/4 + 8*a**3 - a**2/4 - 8*a.
a*(a - 1)*(a + 1)*(a + 32)/4
Find n, given that 5*n**5 - 25*n**4 - 770*n**3 - 2060*n**2 + 4440*n + 5760 = 0.
-6, -1, 2, 16
Factor o**2/8 - 3*o/4 + 5/8.
(o - 5)*(o - 1)/8
Factor -5*q**2 - 20*q + 25.
-5*(q - 1)*(q + 5)
Factor -2*d**3/13 - 46*d**2/13 + 514*d/13 + 558/13.
-2*(d - 9)*(d + 1)*(d + 31)/13
Find g such that 3*g**2 + 423*g + 834 = 0.
-139, -2
Find v, given that -2*v**4/9 - 8*v**3/9 + 26*v**2/3 + 92*v/9 - 160/9 = 0.
-8, -2, 1, 5
What is p in -p**2 - 9*p - 20 = 0?
-5, -4
What is o in -o**2/6 - 32*o/3 - 512/3 = 0?
-32
Find k, given that -6*k**4/5 + 314*k**3/5 - 512*k**2 - 1848*k/5 = 0.
-2/3, 0, 11, 42
Suppose 7*d**4/6 + 3*d**3/2 - 11*d**2/2 + 11*d/6 + 1 = 0. What is d?
-3, -2/7, 1
Determine k, given that -4*k**4 + 68*k**3 - 400*k**2 + 912*k - 576 = 0.
1, 4, 6
Suppose r**2/3 + 34*r/3 + 64/3 = 0. What is r?
-32, -2
Factor -n**2/7 + 22*n/7.
-n*(n - 22)/7
Suppose -5*n**5 + 35*n**4 - 60*n**3 - 20*n**2 + 80*n = 0. Calculate n.
-1, 0, 2, 4
Factor 4*j**2 + 8*j - 32.
4*(j - 2)*(j + 4)
Suppose -62*h**4/11 + 686*h**3/11 + 18*h**2/11 - 686*h/11 + 4 = 0. What is h?
-1, 2/31, 1, 11
Solve -2*q**2 - 126*q = 0.
-63, 0
Find t such that 15*t**3 + 1158*t**2 + 231*t = 0.
-77, -1/5, 0
Find q such that 14*q**5 + 74*q**4 + 132*q**3 + 88*q**2 + 16*q = 0.
-2, -1, -2/7, 0
Factor -l**4/7 + 2*l**3/7 + 5*l**2/7 - 6*l/7.
-l*(l - 3)*(l - 1)*(l + 2)/7
Find g, given that 2*g**4/3 - 2*g**3 - 40*g**2 + 736*g/3 - 384 = 0.
-9, 4
Let 2*f**4/5 - 34*f**3/5 - 18*f**2/5 + 170*f - 160 = 0. Calculate f.
-5, 1, 5, 16
What is x in 5*x**2 - 195*x + 1540 = 0?
11, 28
What is v in v**3/5 + 32*v**2/5 - 68*v/5 = 0?
-34, 0, 2
Factor -4*h**2 - 8088*h.
-4*h*(h + 2022)
Solve -5*v**5 - 25*v**4 - 20*v**3 = 0.
-4, -1, 0
Solve -1248*f**5 - 2512*f**4 + 546*f**3 + 2632*f**2 + 762*f - 180 = 0.
-5/3, -3/4, 2/13, 1
Suppose 22*u**5 + 48*u**4 - 58*u**3 - 12*u**2 = 0. What is u?
-3, -2/11, 0, 1
Determine x so that -5*x**2/4 + 15*x/2 + 135/4 = 0.
-3, 9
Suppose k**4 + 39*k**3/4 + 29*k**2/2 + 15*k/4 - 2 = 0. Calculate k.
-8, -1, 1/4
Suppose -t**5/4 - 5*t**4/2 - 29*t**3/4 - 8*t**2 - 3*t = 0. What is t?
-6, -2, -1, 0
Factor d**3/4 + 71*d**2/4 + 139*d/4 + 69/4.
(d + 1)**2*(d + 69)/4
Factor -5*m**4 + 25*m**3 - 15*m**2 - 25*m + 20.
-5*(m - 4)*(m - 1)**2*(m + 1)
Factor m**3 - m**2 - 2*m.
m*(m - 2)*(m + 1)
Factor 2*c**3 + 32*c**2 + 102*c + 72.
2*(c + 1)*(c + 3)*(c + 12)
Factor 5*b**3 + 10*b**2.
5*b**2*(b + 2)
Determine j, given that -j**2 - 2346*j - 1375929 = 0.
-1173
What is c in 3*c**5/4 - 48*c**4 - 3*c**3/4 + 48*c**2 = 0?
-1, 0, 1, 64
Let -c**3/4 - 9*c**2/4 - 5*c = 0. Calculate c.
-5, -4, 0
Factor -t**4/3 - 34*t**3/3 - 373*t**2/3 - 476*t - 588.
-(t + 3)**2*(t + 14)**2/3
Let 2*h**5 - 2*h**4 - 26*h**3 + 50*h**2 - 24*h = 0. Calculate h.
-4, 0, 1, 3
Factor 58*y**3/3 - 76*y**2 - 16*y/3.
2*y*(y - 4)*(29*y + 2)/3
Factor 2*z**3/9 + 14*z**2/9.
2*z**2*(z + 7)/9
Solve 2*z**2/5 + 336*z/5 + 326 = 0.
-163, -5
Factor -q**3/4 + 41*q**2/4.
-q**2*(q - 41)/4
Solve 27*f**2 - 24522*f + 5448 = 0 for f.
2/9, 908
Factor v**5/7 + 11*v**4/7 + 36*v**3/7 + 36*v**2/7.
v**2*(v + 2)*(v + 3)*(v + 6)/7
What is z in 32*z**5/13 - 240*z**4/13 + 306*z**3/13 - 110*z**2/13 + 12*z/13 = 0?
0, 1/4, 1, 6
Factor n**3 - 8*n**2 - 19*n - 10.
(n - 10)*(n + 1)**2
Factor 2*f**2/9 + 20*f/9 + 50/9.
2*(f + 5)**2/9
Factor 5*g**5 + 10*g**4 - 5*g**3 - 10*g**2.
5*g**2*(g - 1)*(g + 1)*(g + 2)
Solve -6*i**4 - 123*i**3 + 675*i**2 - 81*i - 2025 = 0 for i.
-25, -3/2, 3
Factor a**2/2 - 11*a.
a*(a - 22)/2
Suppose -2*a**3 + 14*a**2 - 4*a - 80 = 0. What is a?
-2, 4, 5
Find z, given that -2*z**5/5 + 198*z**4/5 - 4342*z**3/5 - 29758*z**2/5 + 14352*z - 37856/5 = 0.
-7, 1, 52
Factor w**4/2 + 3*w**3 - 4*w**2 - 3*w + 7/2.
(w - 1)**2*(w + 1)*(w + 7)/2
Factor y**5/2 - y**4/2.
y**4*(y - 1)/2
Factor 2*l**2/11 - 32*l/11 + 10.
2*(l - 11)*(l - 5)/11
Let 3*s**3 - 57*s**2 + 240*s + 300 = 0. What is s?
-1, 10
Factor -3*z**4/7 + 3*z**3/7 + 3*z**2/7 - 3*z/7.
-3*z*(z - 1)**2*(z + 1)/7
Factor -3*i**3 + 255*i**2 - 5544*i + 5292.
-3*(i - 42)**2*(i - 1)
Factor 2*g**4 - 26*g**3 - 6*g**2 + 74*g + 52.
2*(g - 13)*(g - 2)*(g + 1)**2
Determine h so that -4*h**5 + 4*h**4 + 24*h**3 = 0.
-2, 0, 3
Factor -2*b**2 + 36*b + 38.
-2*(b - 19)*(b + 1)
Factor 5*x**3 + 1795*x**2 - 1800*x.
5*x*(x - 1)*(x + 360)
Factor j**5 - j**4 - 4*j**3 + 4*j**2.
j**2*(j - 2)*(j - 1)*(j + 2)
Solve -48*x**4/7 + 4*x**3/7 + 50*x**2/7 - 4*x/7 - 2/7 = 0.
-1, -1/6, 1/4, 1
Solve -25*p**4 + 415*p**3 - 1830*p**2 + 800*p + 640 = 0 for p.
-2/5, 1, 8
Let 100*c**5 + 13480*c**4 + 472736*c**3 + 1242944*c**2 + 770880*c + 139392 = 0. Calculate c.
-66, -2, -2/5
Suppose -w**4/2 + 127*w**3/2 + 195*w**2 + 2*w - 260 = 0. What is w?
-2, 1, 130
Let u**2 + 95*u - 96 = 0. Calculate u.
-96, 1
Factor -2*t**3/3 + 40*t**2 - 78*t + 116/3.
-2*(t - 58)*(t - 1)**2/3
Solve 5*s**5 + 25*s**4 + 15*s**3 - 25*s**2 - 20*s = 0.
-4, -1, 0, 1
Determine d so that -60*d**4 - 844*d**3 - 2996*d**2 - 196*d = 0.
-7, -1/15, 0
Factor 3*t**5/8 - 9*t**4/2 + 63*t**3/8 - 15*t**2/4.
3*t**2*(t - 10)*(t - 1)**2/8
Factor -18*w**4 + 111*w**3 - 234*w**2 + 180*w - 24.
-3*(w - 2)**3*(6*w - 1)
Factor 3*y**3 + 156*y**2 + 687*y - 846.
3*(y - 1)*(y + 6)*(y + 47)
Solve -3*l**4/5 - 12*l**3/5 + 81*l**2/5 - 114*l/5 + 48/5 = 0 for l.
-8, 1, 2
Factor -5*b**3 - 100*b**2 - 465*b - 630.
-5*(b + 3)**2*(b + 14)
What is b in -b**4/6 - 4*b**3/3 + 10*b**2/3 = 0?
-10, 0, 2
Suppose -2*s**4/17 + 2*s**3/17 + 18*s**2/17 - 18*s/17 = 0. What is s?
-3, 0, 1, 3
Factor 4*c**3/5 - 2128*c**2/5 + 283024*c/5.
4*c*(c - 266)**2/5
Find a such that -8*a**2/11 - 126*a/11 - 118/11 = 0.
-59/4, -1
Determine m so that 3*m**2/5 - 66*m/5 - 192 = 0.
-10, 32
Factor -315*b**4 + 120*b**3 + 25*b**2 - 10*b.
-5*b*(3*b - 1)**2*(7*b + 2)
Factor -r**3 + 5*r**2 - 2*r - 8.
-(r - 4)*(r - 2)*(r + 1)
Solve 2*f**2 + 306*f + 2592 = 0.
-144, -9
Suppose -18*b**2 + 124*b + 14 = 0. Calculate b.
-1/9, 7
Determine d, given that 2*d**3/7 + 156*d**2/7 + 2706*d/7 + 1936 = 0.
-56, -11
Solve 14*f**5 - 2222*f**4 - 636*f**3 = 0.
-2/7, 0, 159
Determine u, given that -u**5 - 24*u**4 - 119*u**3 - 204*u**2 - 108*u = 0.
-18, -3, -2, -1, 0
Factor 2*