2 - 2/3.
-(r - 2)**2*(r + 1)/6
Find r such that -3*r**5 + 6*r**4 + 363*r**3 + 1038*r**2 - 2124*r - 2808 = 0.
-6, -1, 2, 13
Factor w**2 + 138*w + 1040.
(w + 8)*(w + 130)
What is g in -3*g**3/4 - 651*g**2/4 + 3987*g/4 - 6021/4 = 0?
-223, 3
Let 2*u**2 - 6264*u + 4904712 = 0. Calculate u.
1566
What is z in 8*z**3/9 - 758*z**2/9 + 1298*z/9 + 124/3 = 0?
-1/4, 2, 93
Factor f**2/6 - 54*f + 4374.
(f - 162)**2/6
What is w in w**3 + 2*w**2 - 9*w - 18 = 0?
-3, -2, 3
Factor 3*b**3/4 + 12*b**2.
3*b**2*(b + 16)/4
Find z such that -2*z**4 + 12*z**3 - 16*z**2 - 12*z + 18 = 0.
-1, 1, 3
Suppose m**4/3 + 34*m**3/3 - 187*m**2/3 + 308*m/3 - 52 = 0. Calculate m.
-39, 1, 2
Let -r**4 - 6*r**3 - 9*r**2 = 0. Calculate r.
-3, 0
Determine p so that p**5 + 24*p**4 + 143*p**3 - 24*p**2 - 144*p = 0.
-12, -1, 0, 1
Factor -3*i**3 - 156*i**2 + 324*i.
-3*i*(i - 2)*(i + 54)
Determine c, given that c**5/2 - 165*c**4/2 - 169*c**3/2 + 493*c**2/2 + 414*c + 166 = 0.
-1, 2, 166
What is i in 5*i**2 + 105*i - 110 = 0?
-22, 1
Determine t so that 9*t**5 - 42*t**4 + 36*t**3 + 54*t**2 - 93*t + 36 = 0.
-4/3, 1, 3
Factor w**2/6 - 89*w/3.
w*(w - 178)/6
Determine g, given that -243*g**5/5 + 976*g**4/5 - 149*g**3 - 192*g**2 + 988*g/5 - 16/5 = 0.
-1, 4/243, 1, 2
Factor 3*c**4/7 - 12*c**3 + 786*c**2/7 - 396*c + 3267/7.
3*(c - 11)**2*(c - 3)**2/7
Determine x so that -3*x**3 + 1365*x**2 = 0.
0, 455
Let -49*s**4/3 + 63*s**3 + 249*s**2 - 243*s + 54 = 0. What is s?
-3, 3/7, 6
Find s, given that s**4 + 19*s**3 + 47*s**2 - 19*s - 48 = 0.
-16, -3, -1, 1
What is b in 18*b**4 - 1110*b**3 - 382*b**2 + 622*b - 124 = 0?
-1, 1/3, 62
Determine h, given that -48*h**4 - 168*h**3 - 171*h**2 - 57*h - 6 = 0.
-2, -1, -1/4
Factor 35*s**4 - 26*s**3 - 11*s**2 + 2*s.
s*(s - 1)*(5*s + 2)*(7*s - 1)
Determine i, given that 3*i**2 + 123*i - 126 = 0.
-42, 1
Factor -278480*d**3 + 1111560*d**2 + 9435*d + 20.
-5*(d - 4)*(236*d + 1)**2
Factor -4*y**2 - 24*y + 64.
-4*(y - 2)*(y + 8)
Determine c so that 26*c**5 - 772*c**4 + 33392*c**3/13 - 24160*c**2/13 - 9952*c/13 - 64 = 0.
-2/13, 2, 26
Factor -s**3/5 - 2*s**2/5 + 13*s/5 - 2.
-(s - 2)*(s - 1)*(s + 5)/5
Factor -k**5 + 13*k**3 + 12*k**2.
-k**2*(k - 4)*(k + 1)*(k + 3)
Factor -3*x**2/8 - 1899*x/8 + 951/4.
-3*(x - 1)*(x + 634)/8
Factor d**5/2 + 3*d**4/2 - d**3/2 - 11*d**2/2 - 6*d - 2.
(d - 2)*(d + 1)**3*(d + 2)/2
Factor 2*y**3/3 + 4*y**2/3 + 2*y/3.
2*y*(y + 1)**2/3
Let 2*z**4 + 5*z**3 - 3*z**2 = 0. Calculate z.
-3, 0, 1/2
Suppose -z**4/5 + 6*z**3/5 - z**2 - 12*z/5 = 0. Calculate z.
-1, 0, 3, 4
Factor 4*w**3/9 - 284*w**2/3 + 20164*w/3 - 1431644/9.
4*(w - 71)**3/9
Find d, given that d**2 + 34*d + 64 = 0.
-32, -2
Let -21*r**4 + 162*r**3 - 393*r**2 + 252*r + 108 = 0. What is r?
-2/7, 2, 3
Find z, given that -z**5/6 + 25*z**4/6 - 98*z**3/3 + 200*z**2/3 + 400*z/3 - 1000/3 = 0.
-2, 2, 5, 10
Factor 5*y**3 - 125*y**2 + 715*y + 845.
5*(y - 13)**2*(y + 1)
Determine a, given that 35*a**4 - 130*a**3 + 100*a**2 + 40*a = 0.
-2/7, 0, 2
Let -71*y**5/6 + 641*y**4/6 - 515*y**3/6 - 625*y**2/6 + 293*y/3 - 8/3 = 0. Calculate y.
-1, 2/71, 1, 8
Let -70*d**4 - 22*d**3 + 180*d**2 - 104*d + 16 = 0. Calculate d.
-2, 2/7, 2/5, 1
Suppose -2*g**3/5 + 26*g/5 + 24/5 = 0. Calculate g.
-3, -1, 4
Factor -2*g**2/13 + 792*g/13 - 78408/13.
-2*(g - 198)**2/13
What is w in -2*w**2/3 - 40*w - 600 = 0?
-30
Factor i**3 - i**2.
i**2*(i - 1)
Factor -2*c**2 - 14428*c - 26020898.
-2*(c + 3607)**2
What is q in 5*q**5/3 - 55*q**4/3 + 40*q**3/3 + 100*q**2/3 = 0?
-1, 0, 2, 10
Solve 4*z**3/5 + 8*z**2 - 52*z/5 - 88/5 = 0.
-11, -1, 2
Find i such that -i**5/2 + 3*i**4/2 + 25*i**3/2 - 27*i**2/2 - 54*i + 54 = 0.
-3, 1, 2, 6
Find r, given that -r**5 + 5*r**4 - 6*r**3 - 2*r**2 + 7*r - 3 = 0.
-1, 1, 3
Suppose 3*k**3 + 993*k**2 - 4011*k + 3015 = 0. Calculate k.
-335, 1, 3
Factor 2*z**3 + 172*z**2.
2*z**2*(z + 86)
Factor -4*b**3 + 48*b**2 - 36*b - 88.
-4*(b - 11)*(b - 2)*(b + 1)
Solve g**4/4 - 23*g**3/4 + 131*g**2/4 + 143*g/4 - 363 = 0.
-3, 4, 11
Suppose -4*h**5 + 8*h**4 + 8*h**3 - 16*h**2 - 4*h + 8 = 0. What is h?
-1, 1, 2
Solve t**4/4 + 5*t**3/4 - 4*t**2 - 17*t - 12 = 0 for t.
-6, -2, -1, 4
Let -2*c**5/21 + 30*c**4/7 - 80*c**3/21 - 120*c**2/7 + 352*c/21 = 0. Calculate c.
-2, 0, 1, 2, 44
Let p**4/3 - 4*p**3 + p**2 + 208*p/3 + 64 = 0. Calculate p.
-3, -1, 8
Factor -b**3 - 15*b**2 - 27*b - 13.
-(b + 1)**2*(b + 13)
Factor 2*w**2/5 - 2/5.
2*(w - 1)*(w + 1)/5
Solve x**3/2 - 15*x**2 + 225*x/2 = 0 for x.
0, 15
Factor 3*v**2 + 3*v - 396.
3*(v - 11)*(v + 12)
Factor m**2/5 + 51*m/5 + 144/5.
(m + 3)*(m + 48)/5
Suppose -2*u**4/7 - 652*u**3/7 - 53786*u**2/7 - 105624*u/7 - 52488/7 = 0. What is u?
-162, -1
Determine x so that x**4/3 - 7*x**3/3 + 11*x**2/3 + 7*x/3 - 4 = 0.
-1, 1, 3, 4
Determine l so that -3*l**5/2 + 15*l**4/4 + 15*l**3/4 - 15*l**2/4 - 9*l/4 = 0.
-1, -1/2, 0, 1, 3
Solve -5*n**3 + 110*n**2 - 105*n = 0 for n.
0, 1, 21
Factor 3*v**4/4 - 15*v**3/2 + 87*v**2/4 - 15*v.
3*v*(v - 5)*(v - 4)*(v - 1)/4
Determine k, given that k**5 + 110*k**4 + 528*k**3 + 310*k**2 - 529*k - 420 = 0.
-105, -4, -1, 1
Factor -3*f**3 + 96*f**2 - 93*f.
-3*f*(f - 31)*(f - 1)
What is m in -2*m**2/5 + 212*m/5 + 726 = 0?
-15, 121
What is f in -5*f**4 + 900*f**3 - 41390*f**2 + 80100*f - 39605 = 0?
1, 89
Factor -4*j**2 + 172*j + 2640.
-4*(j - 55)*(j + 12)
Factor -3*o**2/2 - 723*o/2.
-3*o*(o + 241)/2
Solve -2360*y**4 - 2364*y**3 + 2852*y**2 + 1728*y + 144 = 0.
-3/2, -2/5, -6/59, 1
Determine v so that -v**5 + v**4 + 21*v**3 + 47*v**2 + 40*v + 12 = 0.
-2, -1, 6
Find b such that -2*b**4/15 + 496*b**3/15 + 166*b**2/5 = 0.
-1, 0, 249
Factor 250*f**4/9 - 19150*f**3/3 + 1466890*f**2/3 - 112363774*f/9.
2*f*(5*f - 383)**3/9
Factor -5*q**2 - 5*q + 10.
-5*(q - 1)*(q + 2)
Factor -3*x**2 - 8364*x.
-3*x*(x + 2788)
Let -2*u**5/9 + 2*u**4 - 6*u**3 + 6*u**2 = 0. Calculate u.
0, 3
Determine y, given that -5*y**5 + 50*y**4 + 65*y**3 - 110*y**2 = 0.
-2, 0, 1, 11
Factor -2*v**4 + 20*v**3 - 48*v**2.
-2*v**2*(v - 6)*(v - 4)
Factor -5*n**2 + 80.
-5*(n - 4)*(n + 4)
Factor -r**3 + 51*r**2 + r - 51.
-(r - 51)*(r - 1)*(r + 1)
Let 3*p**3 - 60*p**2 + 207*p + 270 = 0. Calculate p.
-1, 6, 15
Determine c so that 9*c**4/8 + 5673*c**3/2 + 7140407*c**2/4 - 7157435*c/2 + 14326225/8 = 0.
-3785/3, 1
Factor -i**2 - 510*i - 65025.
-(i + 255)**2
Factor 4*p**4/5 + 24*p**3/5 + 36*p**2/5.
4*p**2*(p + 3)**2/5
Let -3*t**2/7 + 15*t/7 - 18/7 = 0. Calculate t.
2, 3
Factor 2*w**3 - 12*w**2 + 64.
2*(w - 4)**2*(w + 2)
Solve -10*c**5 + 14*c**4 + 6*c**3 - 14*c**2 + 4*c = 0 for c.
-1, 0, 2/5, 1
Find j, given that 3*j**4 - 72*j**3 - 216*j**2 + 7776*j + 34992 = 0.
-6, 18
Let 9*v**2 + 165*v + 204 = 0. What is v?
-17, -4/3
Factor -2*u**2 - 220*u.
-2*u*(u + 110)
Factor 2*k**4/11 - 72*k**3/11 - 52*k**2/11 + 12600*k/11 + 61250/11.
2*(k - 25)**2*(k + 7)**2/11
Factor s**5/6 - 203*s**4/2 + 30601*s**3/2 + 279073*s**2/6 + 46716*s + 15606.
(s - 306)**2*(s + 1)**3/6
Factor b**2 - 47*b + 280.
(b - 40)*(b - 7)
Solve 16*w**5 - 16*w**4 - 60*w**3 + 64*w**2 - 16*w = 0 for w.
-2, 0, 1/2, 2
Find o, given that 3*o**2 - 8511*o + 8508 = 0.
1, 2836
Find c, given that 25*c**4 + 135*c**3 + 201*c**2 + 65*c + 6 = 0.
-3, -2, -1/5
Determine p so that -p**4/5 + 196*p**3/5 - 14406*p**2/5 + 470596*p/5 - 5764801/5 = 0.
49
Let 2*b**2/5 - 144*b/5 + 2014/5 = 0. What is b?
19, 53
Factor -4*b**4 - 84*b**3 - 472*b**2 - 240*b + 800.
-4*(b - 1)*(b + 2)*(b + 10)**2
Factor 5*x**3 + 905*x**2 + 43935*x + 264915.
5*(x + 7)*(x + 87)**2
Find a such that -a**3/5 - 32*a**2/5 - 20*a + 336/5 = 0.
-28, -6, 2
Suppose -2*s**3 + 134*s**2 - 132*s = 0. What is s?
0, 1, 66
Factor 2*t**2/3 - 9668*t/3 + 11683778/3.
2*(t - 2417)**2/3
Find k such that -45*k**3 + 3246*k**2 + 2853*k - 438 = 0.
-1, 2/15, 73
Factor -h**4/7 + 22*h**3/7 + 127*h**2/7 + 212*h/7 + 108/7.
-(h - 27)*(h + 1)*(h + 2)**2/7
Let -2*w**2/11 + 100*w/11 - 1250/11 = 0. What is w?
25
Solve -5*y**2 + 765*y - 2250 = 0 for y.
3, 150
Factor -2*l**4 - 112*l**3 - 322*l**2 - 212*l.
-2*l*(l + 1)*(l + 2)*(l + 53)
Let -45*o**4 - 87*o**3 + 51*o**2 + 87*o - 6 = 0. What is o?
-2, -1, 1/15, 1
Factor f**2/3 - 23*f/3 + 22/3.
(f - 22)*(f - 1)/3
Determine v so that -78*v**2 - 147*v + 18 = 0.
-2, 3/26
Factor l**2 - 20*l - 261.
(l - 29)*(l + 9)
Factor c**2/8 + 161*c/8 + 20.
(c + 1)*(c + 160)/8
Let 3*i**2 - 84*i = 0. Calculate i.
0, 28
Solve 3*d**4 + 146*d**3 