2*u**5/3 + 16*u**4/3 - 4*u**3 - 80*u**2/3 + 122*u/3 - 16 = 0.
-8, -3, 1
Factor 33*b**4 + 24*b**3 - 75*b**2 + 18*b.
3*b*(b - 1)*(b + 2)*(11*b - 3)
Factor 2*n**5/3 + 46*n**4 + 722*n**3 - 7346*n**2/3 + 2544*n - 864.
2*(n - 1)**3*(n + 36)**2/3
Solve -2*l**3 - 2*l**2 = 0 for l.
-1, 0
Factor -o**4/2 + 20*o**3 + 109*o**2 + 156*o + 135/2.
-(o - 45)*(o + 1)**2*(o + 3)/2
Factor -2*q**4/9 + 10*q**3/9 + 16*q**2/9 - 8*q/3.
-2*q*(q - 6)*(q - 1)*(q + 2)/9
Factor 2*n**3/3 - 128*n**2 + 382*n/3.
2*n*(n - 191)*(n - 1)/3
Suppose -g**3/5 - 53*g**2/5 - 642*g/5 - 216 = 0. Calculate g.
-36, -15, -2
Factor 4*n**4/3 + 484*n**3/3 + 4200*n**2 - 370000*n/3 - 14500000/3.
4*(n - 29)*(n + 50)**3/3
Find n such that -n**4/8 - 60*n**3 - 58077*n**2/8 - 57121*n/4 = 0.
-239, -2, 0
Let 5*h**3 + 5*h**2 - 85*h + 75 = 0. What is h?
-5, 1, 3
Find f, given that -1602*f**4/13 - 408*f**3/13 + 932*f**2/13 - 248*f/13 + 14/13 = 0.
-1, 7/89, 1/3
Factor -2*p**2/3 - 1696*p/3 - 1694/3.
-2*(p + 1)*(p + 847)/3
Suppose 4*g**2 + 7672*g - 7676 = 0. Calculate g.
-1919, 1
Determine a, given that 5*a**5/4 + 83*a**4/4 - 177*a**3/2 - 68*a**2 + 40*a = 0.
-20, -1, 0, 2/5, 4
Find w, given that w**5/2 - 3*w**4/2 + 2*w**2 = 0.
-1, 0, 2
Determine j, given that -3*j**2 - 11070*j - 10212075 = 0.
-1845
Suppose -26*j**3 - 4*j**2 + 104*j + 16 = 0. What is j?
-2, -2/13, 2
Factor 85849*v**5 + 514508*v**4 + 1026673*v**3 + 679766*v**2 - 4676*v + 8.
(v + 2)**3*(293*v - 1)**2
Let 5*v**4 - 10*v**3 - 495*v**2 - 1260*v = 0. Calculate v.
-7, -3, 0, 12
Factor 2*b**2/17 + 342*b/17 + 676/17.
2*(b + 2)*(b + 169)/17
Determine y so that y**5 + 8*y**4 + 16*y**3 + 2*y**2 - 17*y - 10 = 0.
-5, -2, -1, 1
What is w in -12*w**3/23 - 58*w**2/23 - 40*w/23 = 0?
-4, -5/6, 0
Solve 2*w**3/5 + 74*w**2/5 + 358*w/5 - 434/5 = 0.
-31, -7, 1
Factor -y**3/7 + 3*y**2/7 + y/7 - 3/7.
-(y - 3)*(y - 1)*(y + 1)/7
Factor 2*i**2 + 48*i - 50.
2*(i - 1)*(i + 25)
What is k in 3*k**5/4 - 21*k**4/4 - 9*k**3/2 + 243*k**2/2 - 1377*k/4 + 1215/4 = 0?
-5, 3
Determine t, given that -5*t**4/3 + 50*t**3/3 + 5*t**2 - 160*t/3 + 100/3 = 0.
-2, 1, 10
Find w, given that -2*w**5 - 4*w**4 + 14*w**3 - 8*w**2 = 0.
-4, 0, 1
Determine p so that 2*p**5/11 + 30*p**4/11 + 76*p**3/11 + 48*p**2/11 = 0.
-12, -2, -1, 0
Determine x so that -3*x**2/8 + 45*x/8 = 0.
0, 15
Determine n so that n**4/3 - 6*n**3 + 101*n**2/3 - 76*n + 60 = 0.
2, 3, 10
Determine a so that -2*a**5/9 + 7*a**4/9 - a**3 + 5*a**2/9 - a/9 = 0.
0, 1/2, 1
Find r such that 3*r**4/7 - 18*r**3 - 141*r**2 - 2034*r/7 - 168 = 0.
-4, -2, -1, 49
Solve -l**4 + 6*l**3 - 7*l**2 - 6*l + 8 = 0.
-1, 1, 2, 4
Let -4*a**4 + 176*a**3 + 564*a**2 + 16*a - 752 = 0. What is a?
-2, 1, 47
Suppose 2*u**5 - 40*u**4 + 38*u**3 = 0. Calculate u.
0, 1, 19
Factor i**2/4 + 131*i/2 + 17161/4.
(i + 131)**2/4
Factor 2*b**2/11 - 928*b/11 - 2802/11.
2*(b - 467)*(b + 3)/11
Let 2*w**2/21 - 52*w/7 - 158/21 = 0. Calculate w.
-1, 79
Determine v, given that -4*v**3 + 54*v**2/5 + 146*v/5 + 72/5 = 0.
-1, -4/5, 9/2
Let 6*m**4 - 40*m**3 - 192*m**2 - 96*m + 160 = 0. What is m?
-2, 2/3, 10
Factor -6*s**3/5 - 144*s**2 - 1416*s/5.
-6*s*(s + 2)*(s + 118)/5
Solve -162*i**4 - 12564*i**3 + 18406*i**2 - 6312*i + 632 = 0 for i.
-79, 2/9, 1
Factor c**2/2 - 2*c.
c*(c - 4)/2
Factor 3*a**2/7 - 159*a/7 + 234.
3*(a - 39)*(a - 14)/7
Factor -r**3/4 - 15*r**2 - 113*r/4 + 87/2.
-(r - 1)*(r + 3)*(r + 58)/4
Factor 3*s**2 + 3*s - 6.
3*(s - 1)*(s + 2)
Let 2*o**3 + 314*o**2 + 312*o = 0. What is o?
-156, -1, 0
Factor 2*r**4 - 60*r**3 - 198*r**2.
2*r**2*(r - 33)*(r + 3)
Factor 2*p**3/3 - 58*p**2/3 + 76*p + 96.
2*(p - 24)*(p - 6)*(p + 1)/3
Find j, given that j**3/6 + j**2 - j/6 - 1 = 0.
-6, -1, 1
Factor -3*u**3 - 132*u**2 + 276*u.
-3*u*(u - 2)*(u + 46)
Solve 2*b**3/3 - 172*b**2/3 = 0 for b.
0, 86
Let 21*r**4/4 - 12*r**3 - 597*r**2/4 - 177*r + 63 = 0. Calculate r.
-3, -2, 2/7, 7
Determine g so that 38*g**2/9 + 4*g/9 = 0.
-2/19, 0
Factor -4*l**2 + 5400*l - 1822500.
-4*(l - 675)**2
Let -d**4/3 - 7*d**3/3 - 5*d**2/3 + 7*d/3 + 2 = 0. What is d?
-6, -1, 1
Factor a**2/5 + 969*a/5 - 1942/5.
(a - 2)*(a + 971)/5
Find t, given that 20*t**4/3 + 64*t**3 + 172*t**2/3 - 464*t + 336 = 0.
-6, 1, 7/5
Factor -5*w**3 - 10*w**2 + 455*w - 440.
-5*(w - 8)*(w - 1)*(w + 11)
Factor -22*v**2/13 + 10*v/13.
-2*v*(11*v - 5)/13
Suppose f**2 - 466*f + 465 = 0. What is f?
1, 465
Factor 5*s**2/6 - 91*s/3 + 12.
(s - 36)*(5*s - 2)/6
Let 2*f**4/9 - 124*f**3/9 + 598*f**2/3 + 3968*f/9 + 2048/9 = 0. Calculate f.
-1, 32
Factor -4*c**4/3 + 8*c**3 - 32*c**2/3.
-4*c**2*(c - 4)*(c - 2)/3
Determine p so that 5*p**2 + 495*p + 490 = 0.
-98, -1
Let -4*l**4 + 16*l**3 - 20*l**2 + 8*l = 0. What is l?
0, 1, 2
Factor -w**4/8 - 23*w**3/8 + 75*w**2/8 - 77*w/8 + 13/4.
-(w - 1)**3*(w + 26)/8
Factor -4*d**2 - 1880*d + 1884.
-4*(d - 1)*(d + 471)
Solve -3*g**2/4 - 61*g/2 - 20 = 0 for g.
-40, -2/3
Suppose -76*k**5 + 844*k**4 + 5384*k**3 + 8848*k**2 + 3872*k - 512 = 0. What is k?
-2, -1, 2/19, 16
Find o, given that -8*o**5/5 + 854*o**4/5 + 1092*o**3/5 - 1296*o**2/5 = 0.
-2, 0, 3/4, 108
Find n, given that -3*n**5 - 9*n**4 + 45*n**3 + 57*n**2 - 90*n = 0.
-5, -2, 0, 1, 3
Solve -2*d**2/9 = 0 for d.
0
Find p such that 3*p**4 - 30*p**3 + 75*p**2 - 108 = 0.
-1, 2, 3, 6
Suppose 5*u**3 + 35*u**2 + 50*u = 0. What is u?
-5, -2, 0
Find k such that -4*k**2 - 2908*k - 5800 = 0.
-725, -2
Determine w, given that 2*w**5/7 + 10*w**4/7 + 10*w**3/7 - 10*w**2/7 - 12*w/7 = 0.
-3, -2, -1, 0, 1
Solve -4*z**3/3 + 32*z**2/3 - 80*z/3 + 64/3 = 0.
2, 4
Factor -j**3/4 - 7*j**2 - 137*j/4 - 55/2.
-(j + 1)*(j + 5)*(j + 22)/4
Factor -2*r**4/5 - 12*r**3/5 - 24*r**2/5 - 16*r/5.
-2*r*(r + 2)**3/5
Factor j**4 - 4*j**3 + 5*j**2 - 2*j.
j*(j - 2)*(j - 1)**2
Determine t so that 5*t**5 - 10*t**4 - 65*t**3 - 50*t**2 = 0.
-2, -1, 0, 5
Factor i**5/2 + 9*i**4 + 40*i**3 - 9*i**2 - 81*i/2.
i*(i - 1)*(i + 1)*(i + 9)**2/2
Solve -15*u**5 - 305*u**4 - 100*u**3 = 0.
-20, -1/3, 0
Factor 5*m**5 - 30*m**4 + 65*m**3 - 60*m**2 + 20*m.
5*m*(m - 2)**2*(m - 1)**2
What is k in -54*k**3/5 + 162*k**2/5 - 144*k/5 + 32/5 = 0?
1/3, 4/3
Solve 50562*p**3 + 9328*p**2 - 406*p + 4 = 0 for p.
-2/9, 1/53
Solve 2*u**3/7 - 16*u**2/7 + 10*u/7 + 100/7 = 0.
-2, 5
Let -f**4 - 17*f**3 - 57*f**2 - 67*f - 26 = 0. Calculate f.
-13, -2, -1
Let 2*f**2/25 - 4*f/25 - 48/25 = 0. What is f?
-4, 6
Determine u so that -u**4/2 + 23*u**3/2 - 119*u**2/2 - 143*u/2 = 0.
-1, 0, 11, 13
Determine h, given that -22*h**3 - 87*h**2 - 84*h + 4 = 0.
-2, 1/22
Suppose -5*g**2 - 70*g + 360 = 0. Calculate g.
-18, 4
Determine d, given that -d**4/3 - 5*d**3/3 + d**2/3 + 5*d/3 = 0.
-5, -1, 0, 1
Find h such that -h**3/4 + 13*h**2/4 - 55*h/4 + 75/4 = 0.
3, 5
Let -p**3/2 + 11*p**2/2 - 12*p - 18 = 0. Calculate p.
-1, 6
Factor 2*a**4/7 + 6*a**3/7 - 2*a**2/7 - 6*a/7.
2*a*(a - 1)*(a + 1)*(a + 3)/7
Let -8282450*d**2/3 + 16280*d/3 - 8/3 = 0. Calculate d.
2/2035
Suppose 2*s**2 - 250*s + 1200 = 0. What is s?
5, 120
What is t in -2*t**2/9 - 1310*t/9 + 1312/9 = 0?
-656, 1
Solve 5*y**2 - 100*y - 105 = 0 for y.
-1, 21
Solve c**2 - 596*c + 88804 = 0 for c.
298
Factor 6*d**5/7 + 10*d**4/7 + 4*d**3/7.
2*d**3*(d + 1)*(3*d + 2)/7
Solve -m**2 - 2*m + 15 = 0 for m.
-5, 3
Solve l**3/5 - 26*l**2/5 + 49*l/5 - 24/5 = 0 for l.
1, 24
Factor -t**5 + 44*t**4 - 638*t**3 + 3196*t**2 - 2601*t.
-t*(t - 17)**2*(t - 9)*(t - 1)
Solve -q**4 - 18*q**3 + 3*q**2 + 52*q - 36 = 0.
-18, -2, 1
Factor 3*k**3/4 - 21*k**2 - 3*k/4 + 21.
3*(k - 28)*(k - 1)*(k + 1)/4
Let -2*p**3/5 + 36*p**2/5 - 142*p/5 + 156/5 = 0. What is p?
2, 3, 13
Factor -1764*g**4 + 196728*g**3 - 5550148*g**2 + 3634784*g - 602176.
-4*(3*g - 1)**2*(7*g - 388)**2
Factor -z**4 + 16*z**3 + 3*z**2 - 46*z - 32.
-(z - 16)*(z - 2)*(z + 1)**2
Determine n, given that 2*n**3/5 + 1717*n**2/5 + 73788*n + 184041/5 = 0.
-429, -1/2
Let -5*b**2/3 + 4438*b/3 + 592 = 0. Calculate b.
-2/5, 888
Solve -4*r**2/5 + 12*r/5 - 8/5 = 0 for r.
1, 2
Determine h so that -180*h**4/7 + 2094*h**3/7 - 4152*h**2/7 + 2742*h/7 - 72 = 0.
3/10, 1, 28/3
Find v, given that -v**4 + 11*v**3/2 - 9*v**2/2 - 7*v + 4 = 0.
-1, 1/2, 2, 4
Factor -5*y**2 - 81320*y - 330647120.
-5*(y + 8132)**2
Find y, given that 12*y**5/7 + 477*y**4/7 - 1128*y**3/7 + 36*y**2 = 0.
-42, 0, 1/4, 2
Factor 2*n**5 - 144*n**4 + 3130*n**3 - 11596*n**2 - 190632*n - 175760.
2*(n - 26)**3*(n + 1)*(n + 5)
Find k such that -