x, given that 2*x**3/11 - 156*x**2/11 - 2088*x/11 + 255664/11 = 0.
-38, 58
Factor 3*u**3/7 + 304*u**2/7 + 2556*u/7 - 1840/7.
(u + 10)*(u + 92)*(3*u - 2)/7
Factor -2*s**3/7 + 20*s**2 - 902*s/7 + 180.
-2*(s - 63)*(s - 5)*(s - 2)/7
Factor -5*r**3/4 - 165*r**2/4 - 595*r/4 - 435/4.
-5*(r + 1)*(r + 3)*(r + 29)/4
Factor -3*g**3 - 105*g**2 - 864*g + 972.
-3*(g - 1)*(g + 18)**2
Find w, given that w**2/6 - 251*w/6 - 42 = 0.
-1, 252
Factor m**4/3 - 8*m**3/3 + 4*m**2.
m**2*(m - 6)*(m - 2)/3
Factor -3*n**4/4 - 87*n**3/2 - 243*n**2 - 474*n - 312.
-3*(n + 2)**3*(n + 52)/4
Determine m, given that -3*m**3 + 429*m**2 - 15120*m - 15552 = 0.
-1, 72
Factor -4*g**4 + 328*g**3 - 1764*g**2 - 4528*g - 2432.
-4*(g - 76)*(g - 8)*(g + 1)**2
Find d such that 4*d**4 + 5152*d**3 + 15432*d**2 + 15424*d + 5140 = 0.
-1285, -1
What is h in 3*h**3 - 3*h**2 - 36*h = 0?
-3, 0, 4
Suppose -3*q**4/5 - 432*q**3/5 - 14664*q**2/5 + 63936*q/5 - 65712/5 = 0. What is q?
-74, 2
Find j such that j**2/5 - 2*j/5 - 8/5 = 0.
-2, 4
Factor -2*x**4 + 6*x**3 - 6*x**2 + 2*x.
-2*x*(x - 1)**3
Factor -q**2/3 + 38*q/3 + 215/3.
-(q - 43)*(q + 5)/3
What is t in t**4/4 - 3*t**3/2 - 11*t**2/4 + 15*t + 25 = 0?
-2, 5
Solve o**4/2 - 103*o**3/2 - 211*o**2/2 + 103*o/2 + 105 = 0.
-2, -1, 1, 105
Factor -2*g**3/13 - 12*g**2/13 - 24*g/13 - 16/13.
-2*(g + 2)**3/13
Factor -l**3/3 - 383*l**2/3 + 769*l/3 - 385/3.
-(l - 1)**2*(l + 385)/3
Factor 5*m**3 - 23*m**2 - 10*m.
m*(m - 5)*(5*m + 2)
Factor -v**3/9 - 190*v**2/9 + 383*v/9 - 64/3.
-(v - 1)**2*(v + 192)/9
Find t, given that -2*t**2/5 - 6*t/5 = 0.
-3, 0
Determine p so that -p**4 - 21*p**3 + 72*p**2 - 4*p - 96 = 0.
-24, -1, 2
Solve -2*l**4 - 144*l**3 - 1512*l**2 + 42336*l = 0.
-42, 0, 12
Factor 3*r**3/2 - 33*r**2/4 + 15*r - 9.
3*(r - 2)**2*(2*r - 3)/4
Factor j**4/2 - j**3.
j**3*(j - 2)/2
What is q in 4*q**5 + 12*q**4 - 48*q**3 - 80*q**2 + 192*q = 0?
-4, -3, 0, 2
Factor 5*d**3 - 255*d**2 - 1080*d - 1100.
5*(d - 55)*(d + 2)**2
Factor 4*d**2 - 2440*d + 372100.
4*(d - 305)**2
Determine w, given that -2*w**5 + 14374*w**4 - 34430520*w**3 + 27475545376*w**2 + 27509990272*w = 0.
-1, 0, 2396
Factor 5*y**4 - 485*y**3 - 1500*y**2 - 20*y + 2000.
5*(y - 100)*(y - 1)*(y + 2)**2
Factor -57*o**2 + 6*o.
-3*o*(19*o - 2)
Factor 3*i**4/4 + 201*i**3/2 + 13467*i**2/4.
3*i**2*(i + 67)**2/4
Suppose -14*k**2/3 + 802*k/3 - 76 = 0. What is k?
2/7, 57
Factor -5*t**2 + 120*t - 720.
-5*(t - 12)**2
Solve -9*x**4 - 39*x**3 - 6*x**2 + 24*x = 0 for x.
-4, -1, 0, 2/3
Factor 3*z**5 - 15*z**4 + 9*z**3 + 27*z**2.
3*z**2*(z - 3)**2*(z + 1)
Solve 4*c**5/3 - 79*c**4/3 + 96*c**3 - 11*c**2/3 - 502*c/3 - 40 = 0.
-1, -1/4, 2, 4, 15
Find i, given that 4*i**4 + 44*i**3 + 144*i**2 + 64*i - 256 = 0.
-4, 1
Factor -2*h**3 + 78*h**2 - 148*h.
-2*h*(h - 37)*(h - 2)
Determine r, given that r**4/4 + r**3/2 - 4*r**2 - r/2 + 15/4 = 0.
-5, -1, 1, 3
Determine n so that -5*n**4 - 165*n**3 - 1150*n**2 = 0.
-23, -10, 0
Suppose -2*i**2 - 24*i + 26 = 0. Calculate i.
-13, 1
Factor -4*g**5 + 848*g**4 - 3352*g**3 + 5008*g**2 - 3332*g + 832.
-4*(g - 208)*(g - 1)**4
Find r, given that -2*r**5 - 46*r**4 - 38*r**3 + 142*r**2 + 224*r + 88 = 0.
-22, -1, 2
Let 6*r**4/7 + 118*r**3/7 + 282*r**2/7 + 170*r/7 = 0. What is r?
-17, -5/3, -1, 0
Factor -s**3/2 - 21*s**2/2 - 10*s.
-s*(s + 1)*(s + 20)/2
Factor -8*k**2/9 - 14*k/9 + 4/9.
-2*(k + 2)*(4*k - 1)/9
Factor i**4/2 + 11*i**3 - 14*i**2 - 59*i - 69/2.
(i - 3)*(i + 1)**2*(i + 23)/2
Determine d, given that 5*d**2/3 + 15*d + 40/3 = 0.
-8, -1
What is l in 3*l**4 + 15*l**3 + 9*l**2 - 27*l = 0?
-3, 0, 1
Factor -8*o**2/7 + 46*o/7 + 54/7.
-2*(o + 1)*(4*o - 27)/7
Determine j so that 7*j**4 - 10*j**3 + 3*j**2 = 0.
0, 3/7, 1
Determine v, given that v**5 - 7*v**4 + 14*v**3 - 8*v**2 = 0.
0, 1, 2, 4
Suppose -2*j**5 + 18*j**4 = 0. What is j?
0, 9
Suppose -2*m**5 + 20*m**4 + 10*m**3 - 100*m**2 - 8*m + 80 = 0. Calculate m.
-2, -1, 1, 2, 10
Factor p**4 + 12*p**3 - 13*p**2.
p**2*(p - 1)*(p + 13)
Solve -5*r**2 - 425*r + 1320 = 0.
-88, 3
Determine d, given that -3*d**4/4 + 30*d**3 - 987*d**2/4 + 435*d/2 = 0.
0, 1, 10, 29
Factor -d**4/3 - 34*d**3/3 - 95*d**2/3 - 62*d/3.
-d*(d + 1)*(d + 2)*(d + 31)/3
Factor 2*x**4/13 + 32*x**3/13 + 160*x**2/13 + 256*x/13.
2*x*(x + 4)**2*(x + 8)/13
Find p, given that 2*p**3/9 + 8*p**2/9 + 2*p/9 - 4/3 = 0.
-3, -2, 1
Solve d**4/4 - 5*d**3/2 + 23*d**2/4 - 7*d/2 = 0.
0, 1, 2, 7
Let -32*x**5/3 + 16*x**4 + 10*x**3 - 58*x**2/3 - 2*x + 6 = 0. Calculate x.
-3/4, 1
Find s such that 5*s**2 + 850*s + 36125 = 0.
-85
Solve 5*h**3 - 25*h**2 = 0.
0, 5
Factor f**3/2 - 191*f**2/2 + 10527*f/2 - 128673/2.
(f - 87)**2*(f - 17)/2
Factor 3*i**4 + 27*i**3 + 42*i**2 - 72*i.
3*i*(i - 1)*(i + 4)*(i + 6)
Factor t**3 - 35*t**2 + 408*t - 1584.
(t - 12)**2*(t - 11)
Factor -751*d**2/7 - 752*d/7 - 1/7.
-(d + 1)*(751*d + 1)/7
What is s in -3*s**2 + 1425*s - 4248 = 0?
3, 472
Factor -l**2 - 65*l + 134.
-(l - 2)*(l + 67)
Find b such that b**5/6 - 9*b**4/2 + 109*b**3/3 - 80*b**2 + 48*b = 0.
0, 1, 2, 12
Find s such that -3*s**4/2 + 3*s**3 + 9*s**2/2 = 0.
-1, 0, 3
Factor -6*q**2 + 970*q + 324.
-2*(q - 162)*(3*q + 1)
Determine i so that -i**2/3 + 554*i/3 - 553/3 = 0.
1, 553
Factor s**5 + 8*s**4 - 23*s**3 - 26*s**2 + 44*s + 40.
(s - 2)**2*(s + 1)**2*(s + 10)
Find w, given that 5*w**5 - 40*w**4 - 485*w**3 + 2260*w**2 - 2340*w = 0.
-9, 0, 2, 13
Factor 22*o**2/9 + 56*o/3 + 24.
2*(o + 6)*(11*o + 18)/9
What is z in 2*z**2/7 + 62*z/7 = 0?
-31, 0
Factor 5*v**2 + 490*v + 12005.
5*(v + 49)**2
Factor -5*j**2 + 30*j - 25.
-5*(j - 5)*(j - 1)
Let 4*w**4 + 4*w**3 - 20*w**2 + 12*w = 0. Calculate w.
-3, 0, 1
Let 2*p**4 - 18*p**3 - 54*p**2 + 98*p + 132 = 0. Calculate p.
-3, -1, 2, 11
Suppose l**5/2 - 8*l**4 + 32*l**3 + 37*l**2 - 497*l/2 - 245 = 0. Calculate l.
-2, -1, 5, 7
Suppose o**2/4 + 11*o/2 = 0. Calculate o.
-22, 0
Factor -3*f**2/8 + 105*f/4 - 975/8.
-3*(f - 65)*(f - 5)/8
Suppose 289*g**4/7 + 6035*g**3/7 + 1467*g**2 - 1271*g/7 + 38/7 = 0. Calculate g.
-19, -2, 1/17
Factor 2*d**2/13 - 28*d/13 - 48.
2*(d - 26)*(d + 12)/13
Find o such that -4*o**2 + 12*o - 8 = 0.
1, 2
Determine i so that i**2/12 - 37*i/3 + 49/4 = 0.
1, 147
What is r in 2*r**3/9 - 310*r**2/9 + 11534*r/9 + 12482/3 = 0?
-3, 79
Let 3*x**3 - 2907*x**2 + 708561*x - 2099601 = 0. What is x?
3, 483
Determine s, given that -s**5/2 - 13*s**4/6 - 5*s**3/3 + 5*s**2/3 + 13*s/6 + 1/2 = 0.
-3, -1, -1/3, 1
Factor 4*f**5 - 8*f**4 - 28*f**3 - 16*f**2.
4*f**2*(f - 4)*(f + 1)**2
Factor -3*h**2/2 - 3720*h - 2306400.
-3*(h + 1240)**2/2
Find y such that -5*y**3/6 + 485*y**2/6 = 0.
0, 97
Let 100*g**4 - 2640*g**3 + 14584*g**2 + 37488*g + 20164 = 0. Calculate g.
-1, 71/5
Determine y so that -y**4 + y**3 = 0.
0, 1
Find i, given that 3*i**5/5 - 189*i**3/5 - 186*i**2 - 1692*i/5 - 216 = 0.
-3, -2, 10
Find x such that -1636*x**2 + 3276*x - 8 = 0.
1/409, 2
Let -l**5/4 + 3*l**3/4 + l**2/2 = 0. Calculate l.
-1, 0, 2
Factor -2*s**4 + 2*s**3 + 66*s**2 + 118*s + 56.
-2*(s - 7)*(s + 1)**2*(s + 4)
Factor -4*q**2 - 4*q + 24.
-4*(q - 2)*(q + 3)
Let o**5/6 - 5*o**4/3 + 3*o**3/2 + 18*o**2 - 18*o = 0. What is o?
-3, 0, 1, 6
Factor -6*a**2/7 + 36*a - 246/7.
-6*(a - 41)*(a - 1)/7
Suppose -2*t**3 - 14*t**2/3 - 4*t/3 = 0. What is t?
-2, -1/3, 0
Factor -2*t**3/7 + 24*t**2/7 - 96*t/7 + 128/7.
-2*(t - 4)**3/7
Solve -40*m**4/7 - 866*m**3/7 + 330*m**2/7 + 488*m/7 + 88/7 = 0.
-22, -2/5, -1/4, 1
Suppose -3*g**4 - 6*g**3 + 3*g**2 + 6*g = 0. Calculate g.
-2, -1, 0, 1
Suppose -14*k**3 - 48*k**2 - 18*k = 0. Calculate k.
-3, -3/7, 0
Let q**4/4 - q**2/4 = 0. What is q?
-1, 0, 1
Solve 4*w**2 - 2236*w - 2240 = 0 for w.
-1, 560
Find b, given that 2*b**4/3 + 50*b**3/9 + 16*b**2/3 - 56*b/9 = 0.
-7, -2, 0, 2/3
Factor 3*m**3 + 6*m**2 - 33*m - 36.
3*(m - 3)*(m + 1)*(m + 4)
Find o such that -2*o**3/5 + 662*o**2 - 1364534*o/5 - 4123446/5 = 0.
-3, 829
Suppose -3*y**3/7 + 852*y**2/7 - 2535*y/7 + 1686/7 = 0. What is y?
1, 2, 281
Let k**3/5 + 4*k**2 + 89*k/5 + 14 = 0. Calculate k.
-14, -5, -1
Factor -2*c**3 + 7136*c**2 - 6358170*c - 12744900.
-2*(c - 1785)**2*(c + 2)
Factor -9*g**5 + 30*g**4 - 12*g**3 - 24*g**2.
-3*g**2*(g - 2)**2*(3*g + 2)
Factor -c**3/10 - 56*c**2/5 - 370*c - 3000.
-(c + 12)*(c + 50)**2/10
Factor -m**2/2 - 488*m - 119072.
-(m + 488)**2/2
Let k**4/3 - 398*k**3 + 347953*k**2/3 + 1682744*k + 17875984/3 = 0. What is k?
-7, 604
Find p 