*3 + 64*f**2/9 = 0. Calculate f.
-1, 0, 32
Factor 2*a**3/5 + 12*a**2/5 + 2*a.
2*a*(a + 1)*(a + 5)/5
Solve -4*f**4 + 44*f**3 + 16*f**2 - 176*f = 0.
-2, 0, 2, 11
Let -5*a**5 + 126*a**4 - 1209*a**3/5 - 1276*a**2/5 - 276*a/5 = 0. Calculate a.
-2/5, 0, 3, 23
Factor 3*f**5/5 + 501*f**4/5 - 504*f**3/5.
3*f**3*(f - 1)*(f + 168)/5
Factor 3*q**3 + 51*q**2 + 288*q + 540.
3*(q + 5)*(q + 6)**2
Factor -p**4/3 - 23*p**3/3 - 40*p**2 + 48*p.
-p*(p - 1)*(p + 12)**2/3
Determine v, given that v**2/6 - 4*v + 23/6 = 0.
1, 23
Factor -c**2 - 50*c + 51.
-(c - 1)*(c + 51)
Find k, given that -2*k**5/9 - 22*k**4/9 - 62*k**3/9 - 34*k**2/9 + 64*k/9 + 56/9 = 0.
-7, -2, -1, 1
Solve -v**5/8 + 9*v**4/8 - 3*v**3 + 5*v**2/2 = 0 for v.
0, 2, 5
Factor 2*v**3/17 + 4*v**2/17 - 6*v/17.
2*v*(v - 1)*(v + 3)/17
Factor 5*j**3 + 780*j**2 + 3060*j + 3040.
5*(j + 2)**2*(j + 152)
Let 30*p**2 + 124*p + 16 = 0. What is p?
-4, -2/15
Solve -2*r**5 - 20*r**4 - 56*r**3 + 16*r**2 + 256*r + 256 = 0 for r.
-4, -2, 2
Let -m**4/3 - 17*m**3/3 - 62*m**2/3 - 16*m/3 + 32 = 0. Calculate m.
-12, -4, -2, 1
Factor d**4 - 8*d**3 - 19*d**2 - 10*d.
d*(d - 10)*(d + 1)**2
Solve -2*v**4 + 2*v**3 + 28*v**2 - 48*v = 0.
-4, 0, 2, 3
Factor -g**3/4 + 3*g**2 + 36*g + 80.
-(g - 20)*(g + 4)**2/4
Find h such that -2*h**2/7 + 132*h/7 = 0.
0, 66
Determine i, given that 2*i**3 - 24*i**2 + 22*i = 0.
0, 1, 11
Factor -v**2/6 + 439*v/3 + 880/3.
-(v - 880)*(v + 2)/6
Factor p**3 - 32*p**2 + 116*p - 112.
(p - 28)*(p - 2)**2
What is w in -8*w**4 + 8*w**3 + 46*w**2 - 24*w - 72 = 0?
-3/2, 2
Factor 3*k**3/4 - 105*k**2/4 - 84*k - 57.
3*(k - 38)*(k + 1)*(k + 2)/4
Determine g so that 2*g**2/21 + 10*g/7 = 0.
-15, 0
Let -27*d**4 + 282*d**3 - 876*d**2 + 984*d - 288 = 0. What is d?
4/9, 2, 6
Find j, given that -2*j**4/19 - 26*j**3 - 2902*j**2/19 - 2410*j/19 = 0.
-241, -5, -1, 0
Let -2*m**4 + 8*m**3 + 26*m**2 - 8*m - 24 = 0. What is m?
-2, -1, 1, 6
Solve -3*a**3/2 + 90*a**2 - 1800*a + 12000 = 0.
20
Suppose -i**4/10 - i**3 + 3*i**2/10 + 14*i - 98/5 = 0. Calculate i.
-7, 2
Suppose 125*k**5 + 1865*k**4 + 7725*k**3 + 5495*k**2 - 490*k = 0. What is k?
-7, -1, 0, 2/25
Factor 34*v**3/3 - 80*v**2 + 118*v - 20/3.
2*(v - 5)*(v - 2)*(17*v - 1)/3
Factor -2*z**4 + 80*z**3 + 166*z**2 + 84*z.
-2*z*(z - 42)*(z + 1)**2
Factor 50*v**4 - 810*v**3 + 4884*v**2 - 64856*v/5 + 63888/5.
2*(v - 3)*(5*v - 22)**3/5
Determine t, given that 33*t**4/4 + 31*t**3/2 - 71*t**2 + 2*t + 24 = 0.
-4, -6/11, 2/3, 2
Find q such that 4*q**3/3 - 496*q**2/3 + 980*q/3 - 488/3 = 0.
1, 122
Factor -2*o**3/7 - 148*o**2/7 - 290*o/7 - 144/7.
-2*(o + 1)**2*(o + 72)/7
Suppose -3*f**4/2 - 3*f**3 = 0. What is f?
-2, 0
Let -t**2/7 + 40*t - 2800 = 0. Calculate t.
140
Find s, given that 55*s**2 - 1805*s - 330 = 0.
-2/11, 33
Factor 10*j**5 - 85*j**4 - 45*j**3.
5*j**3*(j - 9)*(2*j + 1)
Solve 6*d**2/7 + 19*d/7 + 3/7 = 0 for d.
-3, -1/6
Determine l, given that l**2 - 20*l + 36 = 0.
2, 18
Factor -4*m**3 - 44*m**2 + 224*m - 240.
-4*(m - 2)**2*(m + 15)
Suppose 14*f**5/13 - 38*f**4/13 - 82*f**3/13 + 22*f**2/13 + 68*f/13 + 16/13 = 0. What is f?
-1, -2/7, 1, 4
Determine k, given that k**4 - k**3 - 6*k**2 + 4*k + 8 = 0.
-2, -1, 2
Determine t, given that -4*t**3 - 188*t**2 - 364*t - 180 = 0.
-45, -1
Determine w so that 5*w**2 + 31*w + 30 = 0.
-5, -6/5
Factor 5*y**4 - 155*y**3 - 45*y**2 + 1395*y.
5*y*(y - 31)*(y - 3)*(y + 3)
Suppose 2*i**3/7 - 12*i**2/7 + 22*i/7 - 12/7 = 0. Calculate i.
1, 2, 3
Let x**2/2 - 50*x - 101/2 = 0. Calculate x.
-1, 101
Factor -x**4/2 - x**3/2 + 3*x**2/2 + 5*x/2 + 1.
-(x - 2)*(x + 1)**3/2
Find z, given that -4*z**2 + 152*z + 156 = 0.
-1, 39
Factor -2*v**4/5 + 982*v**3/5 - 120048*v**2/5 - 121032*v/5.
-2*v*(v - 246)**2*(v + 1)/5
Factor 5*f**3 + 35*f**2.
5*f**2*(f + 7)
Let 104*f**4 + 10092*f**3 + 239900*f**2 - 240492*f - 9604 = 0. Calculate f.
-49, -1/26, 1
Factor -z**3/6 - 401*z**2/3 - 267*z/2.
-z*(z + 1)*(z + 801)/6
Suppose -m**4/2 - 3*m**3/2 + 9*m**2 - 2*m - 12 = 0. What is m?
-6, -1, 2
Factor -j**2 + 348*j - 347.
-(j - 347)*(j - 1)
Determine k, given that 2*k**4 - 82*k**3 + 80*k**2 = 0.
0, 1, 40
Factor -p**4/8 - 7*p**3/8 + p**2.
-p**2*(p - 1)*(p + 8)/8
Factor -2*z**5 + 2*z**4 + 16*z**3 - 24*z**2.
-2*z**2*(z - 2)**2*(z + 3)
Factor -2*p**4 + 10*p**3 - 14*p**2 + 6*p.
-2*p*(p - 3)*(p - 1)**2
Find c such that -2*c**3/11 - 42*c**2/11 + 4*c = 0.
-22, 0, 1
Factor -4*p**2 + 16.
-4*(p - 2)*(p + 2)
Factor 10*w**3/3 - 95*w**2/3 - 95*w - 60.
5*(w - 12)*(w + 1)*(2*w + 3)/3
Find q, given that -q**2 - 63*q - 62 = 0.
-62, -1
What is u in 25*u**3 + 95*u**2 - 120*u = 0?
-24/5, 0, 1
What is d in -d**4/2 + 12*d**3 - 104*d**2 + 384*d - 512 = 0?
4, 8
Factor 5*t**3 + 40*t**2 + 65*t + 30.
5*(t + 1)**2*(t + 6)
Factor 5*g**4 + 175*g**3 - 180*g**2.
5*g**2*(g - 1)*(g + 36)
Factor -2*w**3 + 46*w**2/7 - 40*w/7 + 8/7.
-2*(w - 2)*(w - 1)*(7*w - 2)/7
Find l, given that -4*l**2 + 6128*l = 0.
0, 1532
Let 2*k**4/9 - 52*k**3/9 - 200*k**2/9 + 724*k/9 + 290/3 = 0. What is k?
-5, -1, 3, 29
Factor 7*r**4/2 - 121*r**3/2 + 227*r**2 - 60*r.
r*(r - 12)*(r - 5)*(7*r - 2)/2
Let c**3 + 298*c**2 - c - 298 = 0. What is c?
-298, -1, 1
Solve 10*f**2 + 57*f + 47 = 0.
-47/10, -1
Factor 286*f**3 - 596*f**2 + 48*f.
2*f*(f - 2)*(143*f - 12)
Factor 2*k**3/3 - 174*k**2 + 15138*k - 439002.
2*(k - 87)**3/3
Factor -3*s**5/7 - 6*s**4 - 219*s**3/7 - 516*s**2/7 - 528*s/7 - 192/7.
-3*(s + 1)**2*(s + 4)**3/7
Solve -5*f**4 - 50*f**3 - 120*f**2 - 110*f - 35 = 0 for f.
-7, -1
Solve -3*c**2 - 93*c - 90 = 0.
-30, -1
What is m in -m**3 + 134*m**2 - 4160*m + 37600 = 0?
20, 94
Factor 2*y**4/11 + 4*y**3/11 - 6*y**2/11 - 8*y/11 + 8/11.
2*(y - 1)**2*(y + 2)**2/11
What is o in -4*o**5/9 + 16*o**4/9 - 16*o**3/9 - 8*o**2/9 + 20*o/9 - 8/9 = 0?
-1, 1, 2
Factor t**4/3 - 17*t**2/3 + 12*t - 20/3.
(t - 2)**2*(t - 1)*(t + 5)/3
Let -3*m**3 - 1356*m**2 + 2721*m - 1362 = 0. What is m?
-454, 1
Factor -m**3/2 + 49*m**2 - 1248*m + 2304.
-(m - 48)**2*(m - 2)/2
Solve -w**4 + 66*w**3 - 1212*w**2 + 4030*w - 2883 = 0.
1, 3, 31
Factor 2*n**3 - 2118*n**2 + 747654*n - 87973954.
2*(n - 353)**3
Determine w so that -4*w**2 + 13536*w - 11451456 = 0.
1692
Factor t**5/3 + 4*t**4/3 - t**3 - 14*t**2/3 - 8*t/3.
t*(t - 2)*(t + 1)**2*(t + 4)/3
Find r, given that 20*r**2 - 898*r - 918 = 0.
-1, 459/10
Solve -2*z**2 + 164*z - 1314 = 0.
9, 73
What is r in -5*r**3/3 + 5*r**2/3 + 460*r/3 - 300 = 0?
-10, 2, 9
Find n such that 8*n**5 + 12*n**4 - 40*n**3 + 32*n - 12 = 0.
-3, -1, 1/2, 1
Find r such that -3*r**2/4 - 81*r/2 = 0.
-54, 0
Let 5*o**5/8 - 7*o**4/8 - 3*o**3/8 + 7*o**2/8 - o/4 = 0. What is o?
-1, 0, 2/5, 1
Factor 3*o**2 - 156*o + 576.
3*(o - 48)*(o - 4)
Factor -2*p**4 + 15*p**3 + 86*p**2 + 69*p.
-p*(p + 1)*(p + 3)*(2*p - 23)
Factor g**4 + g**3/5 - 4*g**2/5.
g**2*(g + 1)*(5*g - 4)/5
Factor -q**3/2 - 117*q**2/2.
-q**2*(q + 117)/2
Factor -8*s**3/5 + 64*s**2/5 - 58*s/5 + 14/5.
-2*(s - 7)*(2*s - 1)**2/5
Find z, given that -2*z**4/15 - 446*z**3/15 = 0.
-223, 0
Factor 128*q**5/11 - 6560*q**4/11 + 81560*q**3/11 + 63650*q**2/11 + 16120*q/11 + 1352/11.
2*(q - 26)**2*(4*q + 1)**3/11
Let -34*b**2/11 - 636*b/11 + 190/11 = 0. Calculate b.
-19, 5/17
Find d, given that 2*d**3 - 198*d**2 + 5520*d - 47200 = 0.
20, 59
Determine r, given that -5*r**2 + 7760*r - 3010880 = 0.
776
Factor t**5/4 + t**4/4 - 4*t**3 - 4*t**2.
t**2*(t - 4)*(t + 1)*(t + 4)/4
Factor 3*w**4/4 + 7*w**3/4 - 7*w**2/4 - 3*w/4.
w*(w - 1)*(w + 3)*(3*w + 1)/4
Factor -2*f**5 + 130*f**4 - 254*f**3 + 126*f**2.
-2*f**2*(f - 63)*(f - 1)**2
Factor -3*f**3 - 1359*f**2 - 205209*f - 10328853.
-3*(f + 151)**3
Solve -6*b**5 + 9*b**4 + 15*b**3 - 15*b**2 - 9*b + 6 = 0.
-1, 1/2, 1, 2
Factor 4*p**2 + 56*p + 52.
4*(p + 1)*(p + 13)
What is o in o**3/4 + 46*o**2 + 525*o + 1548 = 0?
-172, -6
Factor -4*l**2 + 100*l - 336.
-4*(l - 21)*(l - 4)
Factor i**2 - 41*i + 40.
(i - 40)*(i - 1)
Factor -3*c**3/4 + 15*c**2/2 + 18*c.
-3*c*(c - 12)*(c + 2)/4
Suppose 3*k**2 - 504*k = 0. What is k?
0, 168
Find b such that 12*b**4 - 104*b**3 + 132*b**2 + 56*b = 0.
-1/3, 0, 2, 7
Factor 4*p**4 - 688*p**3 - 2800*p**2 - 2816*p.
4*p*(p - 176)*(p + 2)**2
Let 4*g**4 + 12*g**3 - 24*g**2 - 32*g = 0. What is g?
-4, -1, 0, 2
Find w such that 16*w**4 + 76*w**3 - 20*w**2 = 0.
-5, 0, 1/4
Solve -105*v**5 + 828*v**4 + 1263*v**3 - 1854*v**2 - 348*v + 216 = 0.
-2, -2/5, 2/7, 1, 9
Let 5*s**5 - 65*s**4 - 15*s*