27*h/8 + 405.
3*(h - 120)*(h - 3)*(h + 3)/8
Factor -14*q**4 - 46*q**3 - 12*q**2.
-2*q**2*(q + 3)*(7*q + 2)
Determine r so that -3*r**2 - 309*r - 306 = 0.
-102, -1
Factor 2*m**2/9 + 10*m/3 + 52/9.
2*(m + 2)*(m + 13)/9
Let 2*b**3 + 56*b**2 + 54*b = 0. Calculate b.
-27, -1, 0
Suppose -u**2 - 192*u - 9216 = 0. What is u?
-96
Factor 2*t**2/9 - 10*t - 92/9.
2*(t - 46)*(t + 1)/9
Let -5*q**2 + 10*q = 0. Calculate q.
0, 2
Factor -2*w**2 - 18*w.
-2*w*(w + 9)
Solve -102*s**3/5 + 222*s**2/5 - 138*s/5 + 18/5 = 0 for s.
3/17, 1
Factor k**3/7 - 71*k**2/7 - 146*k/7.
k*(k - 73)*(k + 2)/7
Factor 2*p**5 - 8*p**4 + 32*p**2 - 32*p.
2*p*(p - 2)**3*(p + 2)
Factor -4*x**2 + 2576*x - 414736.
-4*(x - 322)**2
Factor c**4/8 + 7*c**3/4 + 15*c**2/2 + 13*c + 8.
(c + 2)**3*(c + 8)/8
Find m such that 3*m**4/7 - 39*m**3/7 + 27*m**2 - 405*m/7 + 324/7 = 0.
3, 4
Solve 3*s**3 + 1998*s**2 + 340515*s + 2597784 = 0.
-329, -8
Factor 3*p**4 + 15*p**3 + 24*p**2 + 12*p.
3*p*(p + 1)*(p + 2)**2
Factor -n**4/8 + 3*n**3/4 - 13*n**2/8 + 3*n/2 - 1/2.
-(n - 2)**2*(n - 1)**2/8
Factor -n**2/5 + 1264*n - 1997120.
-(n - 3160)**2/5
Factor -3*o**2 - 15*o - 12.
-3*(o + 1)*(o + 4)
Solve 2*g**2 - 4802*g + 4800 = 0.
1, 2400
Factor r**3/4 + 59*r**2/2 + 1505*r/4 + 1274.
(r + 7)**2*(r + 104)/4
What is h in -4*h**4 + 48*h**3 + 4*h**2 - 48*h = 0?
-1, 0, 1, 12
Factor -2*z**2 + 90*z - 172.
-2*(z - 43)*(z - 2)
Factor 3*c**4/5 - 9*c**3 + 234*c**2/5 - 96*c + 288/5.
3*(c - 6)*(c - 4)**2*(c - 1)/5
Determine r, given that -3*r**4 + 93*r**3 - 702*r**2 = 0.
0, 13, 18
Factor -3*f**3/2 - 234*f**2 - 459*f/2 + 465.
-3*(f - 1)*(f + 2)*(f + 155)/2
Solve 35640*w**4 + 15660*w**3 + 1890*w**2 - 15*w - 10 = 0.
-1/6, 2/33
Factor 4*m**2/3 + 8*m/3 - 4.
4*(m - 1)*(m + 3)/3
Factor 2*h**2/7 - 524*h/7 + 34322/7.
2*(h - 131)**2/7
Solve 2*d**3 + 10*d**2 + 12*d = 0 for d.
-3, -2, 0
Let -m**4/6 - 23*m**3/3 - 649*m**2/6 - 460*m - 600 = 0. What is m?
-20, -3
Solve 3*c**4 - 24*c**3 - 6*c**2 + 216*c - 189 = 0.
-3, 1, 3, 7
Factor -4*n**2 - 496*n.
-4*n*(n + 124)
Determine t, given that -2*t**5/5 + 78*t**4/5 + 4*t**3 - 156*t**2 - 18*t/5 + 702/5 = 0.
-3, -1, 1, 3, 39
Factor j**4/2 - 11*j**3/2 + 21*j**2 - 32*j + 16.
(j - 4)**2*(j - 2)*(j - 1)/2
Factor -d**2 - 15*d + 16.
-(d - 1)*(d + 16)
Determine k, given that -9*k**4 - 1181*k**3 - 1432*k**2 - 260*k = 0.
-130, -1, -2/9, 0
Let -3*t**2 + 369*t = 0. Calculate t.
0, 123
Suppose 2*v**4/9 + 196*v**3/9 - 202*v**2/3 = 0. What is v?
-101, 0, 3
Determine f so that 3*f**3/7 + 9*f**2 + 405*f/7 + 825/7 = 0.
-11, -5
Factor -n**4/2 - n**3/2 + 3*n**2/2 + n/2 - 1.
-(n - 1)**2*(n + 1)*(n + 2)/2
Determine t so that 6*t**2 + 130*t + 84 = 0.
-21, -2/3
Solve 2*n**3/9 + 520*n**2/3 + 101918*n/3 + 605284/9 = 0.
-389, -2
Let t**5 + 3*t**4 + 2*t**3 = 0. What is t?
-2, -1, 0
Factor 4*c**2 - 616*c + 612.
4*(c - 153)*(c - 1)
Solve -8*s**5/7 + 22*s**4/7 + 174*s**3/7 - 622*s**2/7 + 314*s/7 + 120/7 = 0.
-5, -1/4, 1, 3, 4
Factor 2*d**4/7 + 24*d**3/7 + 72*d**2/7 + 64*d/7.
2*d*(d + 2)**2*(d + 8)/7
Solve -y**4/11 + 7*y**3/11 + 6*y**2 + 148*y/11 + 104/11 = 0.
-2, 13
Factor -5*x**4 + 40*x**2 - 80.
-5*(x - 2)**2*(x + 2)**2
What is q in -2*q**5/5 - 8*q**4 - 262*q**3/5 - 608*q**2/5 - 384*q/5 = 0?
-8, -3, -1, 0
Find c such that 2*c**3/19 - 254*c**2/19 + 984*c/19 = 0.
0, 4, 123
Factor 4*s**4 - 32*s**3 + 72*s**2 - 108.
4*(s - 3)**3*(s + 1)
Find u such that 4*u**4 - 32*u**3 - 32*u**2 + 384*u + 576 = 0.
-2, 6
Find d, given that d**4/7 + 79*d**3/7 + 228*d**2/7 - 4*d/7 - 304/7 = 0.
-76, -2, 1
Factor -60*t**2 - 831*t + 126.
-3*(t + 14)*(20*t - 3)
Factor 2*m**2 - 206*m + 404.
2*(m - 101)*(m - 2)
Suppose -3*g**2/8 - 690*g - 317400 = 0. Calculate g.
-920
Factor 2*w**2 + 118*w - 120.
2*(w - 1)*(w + 60)
Factor 3*n**2 + 9474*n - 9477.
3*(n - 1)*(n + 3159)
Determine m, given that -2*m**3 + 428*m**2 + 2*m - 428 = 0.
-1, 1, 214
Factor -21*s**2 + 2367*s + 678.
-3*(s - 113)*(7*s + 2)
Solve 3*x**2/4 - 117*x/4 + 405/2 = 0.
9, 30
Let -2*b**3 + 102*b**2 - 198*b + 98 = 0. Calculate b.
1, 49
Let -4*h**5/5 + 72*h**4/5 - 132*h**3/5 + 64*h**2/5 = 0. Calculate h.
0, 1, 16
Factor j**2/3 - 1106*j + 917427.
(j - 1659)**2/3
Factor 4*f**3 + 92*f**2 - 304*f + 208.
4*(f - 2)*(f - 1)*(f + 26)
Determine d, given that -d**4/4 - d**3 + 3*d**2 = 0.
-6, 0, 2
Suppose -2*w**2 + 108*w - 106 = 0. What is w?
1, 53
Find z such that -3*z**3 - 228*z**2 - 873*z - 648 = 0.
-72, -3, -1
Factor 5*b**2 + 675*b - 2780.
5*(b - 4)*(b + 139)
Factor 3*c**3 - 30*c**2 + 93*c - 90.
3*(c - 5)*(c - 3)*(c - 2)
Suppose 4*g**4 - 388*g**3 + 380*g**2 + 388*g - 384 = 0. Calculate g.
-1, 1, 96
Let 2*u**3/3 - 128*u**2/3 = 0. What is u?
0, 64
Factor 4*q**4/7 - 192*q**3/7.
4*q**3*(q - 48)/7
Solve -c**3 + 20*c**2 + 187*c - 4046 = 0 for c.
-14, 17
Factor m**2 + 6*m - 27.
(m - 3)*(m + 9)
Determine h, given that 2*h**5/7 + 6*h**4/7 - 54*h**3/7 - 118*h**2/7 - 60*h/7 = 0.
-6, -1, 0, 5
What is y in -2*y**2 - 72*y - 198 = 0?
-33, -3
Factor -3*k**2/7 + 108*k/7 + 228/7.
-3*(k - 38)*(k + 2)/7
Factor -17576*d**4 - 15548*d**3 + 1950*d**2 - 77*d + 1.
-(d + 1)*(26*d - 1)**3
Factor 3*i**2 - 1146*i - 2304.
3*(i - 384)*(i + 2)
Factor -2*v**3/5 + 6*v**2/5 + 4*v.
-2*v*(v - 5)*(v + 2)/5
Let h**4/7 + h**3/7 = 0. What is h?
-1, 0
Suppose -3*i**5 + 21*i**4 + 108*i**3 - 156*i**2 - 240*i = 0. Calculate i.
-4, -1, 0, 2, 10
Find f, given that -2*f**2 - 440*f - 24200 = 0.
-110
Let -z**2/8 + 15*z/2 - 225/2 = 0. What is z?
30
Let -p**5 - 3*p**4 + 4*p**2 = 0. Calculate p.
-2, 0, 1
Find u, given that 2*u**4/3 + 22*u**3/3 + 24*u**2 + 32*u/3 - 128/3 = 0.
-4, 1
Suppose -3*i**3 + 42*i**2 + 93*i + 48 = 0. What is i?
-1, 16
Let 4*p**3 - 552*p**2 + 1092*p - 544 = 0. What is p?
1, 136
Solve -2*s**2/7 - 680*s/7 - 678/7 = 0 for s.
-339, -1
Let 3*i**3 + 9*i**2 + 6*i = 0. Calculate i.
-2, -1, 0
Find b such that -9*b**4/5 + 3*b**3/5 + 12*b**2/5 = 0.
-1, 0, 4/3
What is t in 6*t**5/7 + 16*t**4/7 - 16*t**3/7 - 4*t**2 + 10*t/7 + 12/7 = 0?
-3, -1, -2/3, 1
Solve w**2/2 + 171*w/2 + 169 = 0.
-169, -2
Determine t, given that t**2/4 + 336*t + 112896 = 0.
-672
Factor 15*m**2/7 - 7674*m/7 - 3072/7.
3*(m - 512)*(5*m + 2)/7
Factor -2*f**3 + 48*f**2 - 234*f + 324.
-2*(f - 18)*(f - 3)**2
What is j in 3*j**4 - 6*j**3 - 21*j**2 - 12*j = 0?
-1, 0, 4
Factor -5*o**3/3 + 90*o**2 + 1505*o/3 - 590.
-5*(o - 59)*(o - 1)*(o + 6)/3
Let -j**3 - 22*j**2 - 159*j - 378 = 0. What is j?
-9, -7, -6
Suppose 86*h**2/9 - 98*h/9 + 4/3 = 0. Calculate h.
6/43, 1
Find q, given that -q**3 - 15*q**2 - 63*q - 49 = 0.
-7, -1
Determine o, given that -2*o**4/5 - 4*o**3/5 + 14*o**2/5 - 8*o/5 = 0.
-4, 0, 1
Suppose b**3/7 + 1297*b**2/7 - 371*b + 1299/7 = 0. What is b?
-1299, 1
Factor 6*o**2/7 - 492*o/7 + 486/7.
6*(o - 81)*(o - 1)/7
Determine i so that -3*i**2 + 324*i - 321 = 0.
1, 107
Let -w**5/5 - 24*w**4/5 - 222*w**3/5 - 988*w**2/5 - 2121*w/5 - 1764/5 = 0. Calculate w.
-7, -4, -3
Factor -s**2/8 - s/2.
-s*(s + 4)/8
What is k in 4*k**3 + 8*k**2 - 12*k = 0?
-3, 0, 1
Determine n so that -404*n**3 + 412*n**2 + 800*n - 16 = 0.
-1, 2/101, 2
Factor -q**2/2 - 56*q.
-q*(q + 112)/2
Determine b so that 3*b**2 - 12*b - 15 = 0.
-1, 5
Factor -2*w**4 - 28*w**3 + 134*w**2 - 176*w + 72.
-2*(w - 2)*(w - 1)**2*(w + 18)
Solve -2*u**4/3 + 14*u**3 - 26*u**2 + 38*u/3 = 0 for u.
0, 1, 19
Factor 14*i**3/5 + 16*i**2 - 248*i/5 + 64/5.
2*(i - 2)*(i + 8)*(7*i - 2)/5
Let -4*r**4/9 + 14*r**3/3 + 8*r**2/3 - 22*r/9 = 0. What is r?
-1, 0, 1/2, 11
Factor -g**3/3 - 587*g**2/9 + 788*g/9.
-g*(g + 197)*(3*g - 4)/9
Factor -s**3 + 4*s**2 + 12*s.
-s*(s - 6)*(s + 2)
Solve -9*a**3 - 42*a**2 + 84*a + 72 = 0.
-6, -2/3, 2
Factor 6*m**2/5 - 908*m/15 - 34.
2*(m - 51)*(9*m + 5)/15
Solve 2*k**4 - 624*k**3 + 64896*k**2 - 2249728*k = 0.
0, 104
Determine s so that -27*s**4 - 24*s**3 + 30*s**2 + 24*s - 3 = 0.
-1, 1/9, 1
Solve 3*h**4/4 - 27*h**3/4 - 3*h**2/4 + 243*h/4 - 54 = 0.
-3, 1, 3, 8
Factor 2*m**4 + 32*m**3 - 2*m**2 - 32*m.
2*m*(m - 1)*(m + 1)*(m + 16)
Factor 63*g**3 - 169*g**2/2 + 45*g/2 - 1.
(g - 1)*(7*g - 2)*(18*g - 1)/2
Solve x**5 + 146*x**4 + 7201*x**3 + 124560*x**2 + 228096*x + 110592 = 0 for x.
-48, -1
Determine z so that 792*z**4 - 1988*z**3 + 416*z**2 + 788*z - 8 = 0.
-1/2, 1/99, 1, 2
Suppose p**5/3 + 13*p**4/3 + 47*p**3/3 + 35*p**2/3 = 0. Calculate p.
-7, -5, -1, 0
Factor -5*r**4 + 65*r**3 - 55*r**2 - 65*r + 60.
-5*(r - 12)*(r - 1)**2*(r + 1)