 - 12)**2
Factor -f**3/4 + f**2/2.
-f**2*(f - 2)/4
Factor 2*k**2/7 - 60*k/7 - 62/7.
2*(k - 31)*(k + 1)/7
Factor -3*b**3 + 204*b**2 - 201*b.
-3*b*(b - 67)*(b - 1)
Let -2*x**3 + 194*x**2/23 - 224*x/23 + 40/23 = 0. What is x?
5/23, 2
What is s in -2*s**2/5 + 464*s/5 - 184 = 0?
2, 230
Let -t**2/6 + 3*t + 19/6 = 0. Calculate t.
-1, 19
What is t in -t**3 + 52*t**2 + 480*t = 0?
-8, 0, 60
Suppose -4*b**3 - 1592*b**2 + 1604*b + 3192 = 0. Calculate b.
-399, -1, 2
Factor 4*b**2 - 24224*b - 24228.
4*(b - 6057)*(b + 1)
Factor -2*w**3 + 16*w**2 + 128*w - 1024.
-2*(w - 8)**2*(w + 8)
Suppose -2*a**5/11 - 88*a**4 + 2916*a**3/11 - 2920*a**2/11 + 974*a/11 = 0. Calculate a.
-487, 0, 1
Factor -2*n**3 + 292*n**2 - 11968*n + 92480.
-2*(n - 68)**2*(n - 10)
Factor 5*n**3 + 4240*n**2 + 4235*n.
5*n*(n + 1)*(n + 847)
Solve 12*q**5 - 184*q**4 + 376*q**3 - 144*q**2 - 164*q + 104 = 0 for q.
-2/3, 1, 13
Factor -3*i**2/5 + 42*i/5.
-3*i*(i - 14)/5
Solve 3*f**3/7 - 66*f**2/7 + 195*f/7 + 2028/7 = 0.
-4, 13
Find o such that -o**5/4 - 5*o**4/4 - 7*o**3/4 + o**2/4 + 2*o + 1 = 0.
-2, -1, 1
Factor -4*n**3 + 12*n**2 - 8*n.
-4*n*(n - 2)*(n - 1)
Factor -s**3/7 + 9*s**2/7 - 20*s/7 + 12/7.
-(s - 6)*(s - 2)*(s - 1)/7
Solve -f**2/4 + 855*f - 731025 = 0 for f.
1710
Factor p**2/6 + 197*p/3 - 395/6.
(p - 1)*(p + 395)/6
Factor 2*t**3/15 + 2*t**2/3 - 4*t/15 - 16/5.
2*(t - 2)*(t + 3)*(t + 4)/15
Solve -g**5/5 + 7*g**4/5 + 13*g**3/5 - 43*g**2/5 + 24*g/5 = 0.
-3, 0, 1, 8
Factor -x**5/6 + x**4/6 + x**3/3 - x**2/3 - x/6 + 1/6.
-(x - 1)**3*(x + 1)**2/6
Solve 3*c**2/8 - 15*c/2 = 0.
0, 20
Factor 5*x**5 + 50*x**4 + 145*x**3 + 160*x**2 + 60*x.
5*x*(x + 1)**2*(x + 2)*(x + 6)
Determine r so that -2*r**3/7 - 54*r**2/7 - 52*r/7 = 0.
-26, -1, 0
Factor 5*k**5 - 10*k**4 + 10*k**2 - 5*k.
5*k*(k - 1)**3*(k + 1)
Determine u so that 2*u**5/5 - 84*u**4/5 - 264*u**3/5 - 268*u**2/5 - 18*u = 0.
-1, 0, 45
Let 38*z**3/9 + 188*z**2/9 + 142*z/9 - 8/9 = 0. What is z?
-4, -1, 1/19
Suppose 7*k**2/4 + 19*k/4 + 3 = 0. Calculate k.
-12/7, -1
What is v in -3*v**5/2 + 471*v**4/2 - 6189*v**3/2 + 26421*v**2/2 - 18072*v + 7722 = 0?
1, 6, 143
Find b such that -2*b**4/5 + 16*b**3/5 - 44*b**2/5 + 48*b/5 - 18/5 = 0.
1, 3
Solve -9*i**3 + 69*i**2 + 204*i + 60 = 0.
-2, -1/3, 10
Determine x so that 4*x**5 - 4*x**3 = 0.
-1, 0, 1
What is z in -2*z**3 - 146*z**2 - 2736*z - 2592 = 0?
-36, -1
Factor -w**2/4 + 75*w/4.
-w*(w - 75)/4
Factor -k**4 - 4*k**3 - 3*k**2 + 4*k + 4.
-(k - 1)*(k + 1)*(k + 2)**2
Factor 3*g**3 - 153*g**2 - 3522*g + 3672.
3*(g - 68)*(g - 1)*(g + 18)
Let 2*l**5/5 - 8*l**4/5 + 4*l**3/5 + 8*l**2/5 - 6*l/5 = 0. Calculate l.
-1, 0, 1, 3
What is i in 2*i**2 + 240*i - 2882 = 0?
-131, 11
Factor 3*g**4/2 + 9*g**3 - 54*g**2 + 60*g.
3*g*(g - 2)**2*(g + 10)/2
Factor -5*o**2 + 485*o - 9230.
-5*(o - 71)*(o - 26)
Factor 2*w**3 - 150*w**2 + 574*w - 426.
2*(w - 71)*(w - 3)*(w - 1)
Determine c, given that -2*c**3 - 46*c**2 + 210*c - 162 = 0.
-27, 1, 3
What is i in 2*i**2/3 - 94*i/3 + 92/3 = 0?
1, 46
Factor -x**4 - 2*x**3 + 11*x**2 + 12*x - 36.
-(x - 2)**2*(x + 3)**2
Determine z so that -2*z**3/5 - 148*z**2/5 - 816*z/5 = 0.
-68, -6, 0
Factor -a**4/4 + a**3/2 + a**2/4 - a/2.
-a*(a - 2)*(a - 1)*(a + 1)/4
Suppose -3*y**5 - 33*y**4 - 54*y**3 + 6*y**2 + 57*y + 27 = 0. What is y?
-9, -1, 1
Determine b so that -5*b**4/4 - 15*b**3/4 + 45*b**2/4 - 25*b/4 = 0.
-5, 0, 1
Factor u**2/5 - 358*u/5 + 32041/5.
(u - 179)**2/5
Factor 3*r**5 - 18*r**4 + 15*r**3 + 36*r**2.
3*r**2*(r - 4)*(r - 3)*(r + 1)
Factor s**4/5 - 4*s**3/5 - 21*s**2/5.
s**2*(s - 7)*(s + 3)/5
What is w in w**2 + 214*w - 872 = 0?
-218, 4
Solve -2*j**5/9 + 20*j**4/9 - 16*j**3/9 - 20*j**2/9 + 2*j = 0.
-1, 0, 1, 9
Factor 3*i**5/8 + 63*i**4/4 - 129*i**3/8.
3*i**3*(i - 1)*(i + 43)/8
Find x, given that -5*x**2/6 + 530*x/3 - 28090/3 = 0.
106
Let -k**4/3 + 19*k**3/3 - 65*k**2/3 + 77*k/3 - 10 = 0. Calculate k.
1, 2, 15
Factor q**2/3 - 35*q + 102.
(q - 102)*(q - 3)/3
Suppose 4*p**3 + 516*p**2 + 15276*p - 89780 = 0. What is p?
-67, 5
Factor x**4/9 + 4*x**3/9 + 2*x**2/9 - 4*x/9 - 1/3.
(x - 1)*(x + 1)**2*(x + 3)/9
Factor -3*n**2 - 11454*n - 10932843.
-3*(n + 1909)**2
Let 15*a**4 - 140*a**3 - 135*a**2 + 360*a - 100 = 0. Calculate a.
-2, 1/3, 1, 10
Factor 4*u**2/9 + 52*u/9 - 224/3.
4*(u - 8)*(u + 21)/9
Solve 10*z**2/3 - 2*z - 4/3 = 0 for z.
-2/5, 1
Factor -l**3/2 - 9*l**2/2 + 32*l - 42.
-(l - 3)*(l - 2)*(l + 14)/2
Factor 2*w**2 - 184*w.
2*w*(w - 92)
Solve -m**3 - 13*m**2 + 230*m = 0 for m.
-23, 0, 10
Factor i**3/7 - 53*i**2/7 + 129*i - 693.
(i - 21)**2*(i - 11)/7
Factor -w**5 - 11*w**4 - 47*w**3 - 97*w**2 - 96*w - 36.
-(w + 1)*(w + 2)**2*(w + 3)**2
Factor 2*l**5/3 - 82*l**4/3 - 170*l**3/3 - 86*l**2/3.
2*l**2*(l - 43)*(l + 1)**2/3
Suppose -y**5/3 + 35*y**3/3 + 10*y**2 - 160*y/3 + 32 = 0. What is y?
-4, 1, 6
Factor 3*s**2 + 240*s.
3*s*(s + 80)
Factor -f**4/3 + 13*f**3 - 434*f**2/3 + 348*f - 216.
-(f - 18)**2*(f - 2)*(f - 1)/3
Factor -4*a**2/9 - 728*a/9 - 33124/9.
-4*(a + 91)**2/9
Factor 5*t**5 + 5*t**4 - 105*t**3 + 235*t**2 - 200*t + 60.
5*(t - 2)*(t - 1)**3*(t + 6)
Solve -t**3/4 + 38*t**2 + 77*t = 0.
-2, 0, 154
Solve -a**3/3 + 4*a**2/3 + 5*a/3 = 0 for a.
-1, 0, 5
Factor 3*c**5 - 21*c**4 - 18*c**3 + 150*c**2 - 177*c + 63.
3*(c - 7)*(c - 1)**3*(c + 3)
Factor 2*f**2/3 - 40*f/3 + 24.
2*(f - 18)*(f - 2)/3
Factor -2*k**2 + 154*k + 156.
-2*(k - 78)*(k + 1)
Factor -2*x**2/13 - 782*x/13 + 1572/13.
-2*(x - 2)*(x + 393)/13
Factor -2*c**3/7 + 90*c**2/7 - 174*c/7 - 21866/7.
-2*(c - 29)**2*(c + 13)/7
Find o such that 12*o**3 - 280*o**2 + 336*o + 352 = 0.
-2/3, 2, 22
Factor -3*g**2 - 954*g - 8343.
-3*(g + 9)*(g + 309)
Factor -5*x**2 - 690*x.
-5*x*(x + 138)
Factor -2*x**3/9 - 22*x**2/3 - 170*x/3 + 578/9.
-2*(x - 1)*(x + 17)**2/9
Determine l so that 26*l**4/9 + 12*l**3 + 40*l**2/3 + 16*l/9 = 0.
-2, -2/13, 0
Find h such that -2*h**5/15 + 82*h**4/15 - 338*h**3/5 + 1146*h**2/5 - 432*h/5 - 1944/5 = 0.
-1, 3, 18
Suppose f**5/3 + 5*f**4 + 35*f**3/3 - 5*f**2 - 12*f = 0. Calculate f.
-12, -3, -1, 0, 1
Solve 4*n**3 - 112*n**2 - 364*n - 248 = 0.
-2, -1, 31
Solve 4*i**4 - 5792*i**3 + 3145056*i**2 - 759006848*i + 68690119744 = 0.
362
Suppose 8*m**2 + 564*m + 828 = 0. Calculate m.
-69, -3/2
Factor -2*g**3/3 - 2012*g**2 - 2024072*g - 2036216432/3.
-2*(g + 1006)**3/3
Suppose 2*j**3 - 30*j**2 - 36*j + 64 = 0. Calculate j.
-2, 1, 16
Factor -5*v**5 - 70*v**4 + 160*v**3.
-5*v**3*(v - 2)*(v + 16)
Solve -20*y**3/9 + 92*y**2/9 + 160*y/9 + 16/3 = 0.
-1, -2/5, 6
Suppose 2*t**3/19 - 20*t**2/19 + 16*t/19 + 128/19 = 0. Calculate t.
-2, 4, 8
Let -2*f**5 - 8*f**4 + 110*f**3 - 100*f**2 = 0. What is f?
-10, 0, 1, 5
Factor -7*v**3 - 37*v**2 + 158*v + 48.
-(v - 3)*(v + 8)*(7*v + 2)
Determine x so that -35*x**5 + 130*x**4 + 75*x**3 - 130*x**2 - 40*x = 0.
-1, -2/7, 0, 1, 4
Factor 2*s**4 - 26*s**3 + 36*s**2 + 104*s - 176.
2*(s - 11)*(s - 2)**2*(s + 2)
Let 3*d**5/5 - 2*d**4/5 - 5*d**3 + 24*d**2/5 = 0. Calculate d.
-3, 0, 1, 8/3
Factor 3*n**2/5 + 114*n/5 + 63.
3*(n + 3)*(n + 35)/5
Determine u so that 3*u**5/5 + 117*u**4/5 + 1194*u**3/5 + 966*u**2/5 - 1197*u/5 - 1083/5 = 0.
-19, -1, 1
Factor -g**4/10 - 9*g**3/5 - 109*g**2/10 - 126*g/5 - 98/5.
-(g + 2)**2*(g + 7)**2/10
Factor g**3/5 - 46*g**2/5 + 609*g/5 - 1764/5.
(g - 21)**2*(g - 4)/5
Factor -4*a**4 + 392*a**3 - 3648*a**2 + 11392*a - 11264.
-4*(a - 88)*(a - 4)**2*(a - 2)
Factor -5*k**3 + 30*k**2 + 605*k - 630.
-5*(k - 14)*(k - 1)*(k + 9)
Factor -24*s**3 + 28*s**2 + 40*s.
-4*s*(s - 2)*(6*s + 5)
Solve -2*v**2/5 + 24*v/5 - 22/5 = 0.
1, 11
Solve -c**4 - 50*c**3 - 744*c**2 - 4158*c - 7047 = 0.
-29, -9, -3
Solve -3*m**2/5 - 54*m/5 - 51/5 = 0.
-17, -1
Factor -4*y**2/7 - 128*y/7.
-4*y*(y + 32)/7
Determine i so that 5*i**4 + 335*i**3 + 2175*i**2 - 132635*i - 134480 = 0.
-41, -1, 16
Solve 2*b**2 - 226*b + 444 = 0.
2, 111
Suppose -2*a**4/25 - 8*a**3/5 - 36*a**2/25 + 8*a/5 + 38/25 = 0. Calculate a.
-19, -1, 1
Determine i, given that -2*i**5/5 - 44*i**4/5 + 64*i**3 - 92*i**2 - 318*i/5 + 504/5 = 0.
-28, -1, 1, 3
Suppose 2*d**3/5 + 4*d**2/5 - 6*d/5 = 0. Calculate d.
-3, 0, 1
Factor -y**5 + y**4 + 2*y**3.
-y**3*(y - 2)*(y + 1)
Determine l, given that -3*l**5 + 2*l**4 + 34*l**3 - 16*l**2 - 63*l - 18 = 0.
-3, -1, -1/3, 2, 3
Factor 3*h**5 - 9*h**4 - 96*h**3 - 180*h**2 - 96*h.
3*h*(h - 8)*(h + 1)*(h + 2)**2
Let -5*v**5 - 30*v**4 - 55*