*a**3 + 21*a**2 - 45*a - 54.
-3*(a - 3)**2*(a + 1)*(a + 2)
Factor 2*y**4 - 208*y**3 + 810*y**2 - 1004*y + 400.
2*(y - 100)*(y - 2)*(y - 1)**2
Factor 2*x**2/9 + 32*x/9 + 110/9.
2*(x + 5)*(x + 11)/9
Factor 4*y**3/3 - 2*y**2 + 2*y/3.
2*y*(y - 1)*(2*y - 1)/3
Suppose 196*u**5/5 + 2632*u**4/5 - 7628*u**3/5 + 6832*u**2/5 - 2288*u/5 + 256/5 = 0. Calculate u.
-16, 2/7, 1
Factor 2*j**3 + 182*j**2 - 2*j - 182.
2*(j - 1)*(j + 1)*(j + 91)
Factor 2*r**5 + 4*r**4 - 10*r**3 - 12*r**2.
2*r**2*(r - 2)*(r + 1)*(r + 3)
Find w such that -2*w**4/7 - 10*w**3/7 + 32*w**2/7 + 136*w/7 + 96/7 = 0.
-6, -2, -1, 4
Factor 2*k**5 + 4*k**4 - 2*k**3 - 4*k**2.
2*k**2*(k - 1)*(k + 1)*(k + 2)
Factor -5*f**3 + 40*f**2.
-5*f**2*(f - 8)
Suppose -3*t**4 + 45*t**3 - 162*t**2 + 120*t = 0. What is t?
0, 1, 4, 10
Solve -2*g**2/19 + 20*g/19 - 42/19 = 0.
3, 7
Factor k**2/6 + 10*k/3 + 25/2.
(k + 5)*(k + 15)/6
Determine d, given that 2*d**2 + 248*d - 762 = 0.
-127, 3
Determine d, given that -d**3 - 30*d**2 - 83*d - 54 = 0.
-27, -2, -1
Find b such that 2*b**5 - 20*b**4 + 60*b**3 - 80*b**2 + 50*b - 12 = 0.
1, 6
Suppose 2*z**2/9 - 284*z/3 - 1712/9 = 0. What is z?
-2, 428
Factor -2*g**3 + 26*g**2 - 110*g + 150.
-2*(g - 5)**2*(g - 3)
Let -2*l**2 + 1556*l - 1554 = 0. Calculate l.
1, 777
Factor -2*q**2 + 384*q + 776.
-2*(q - 194)*(q + 2)
Factor -u**4 - 32*u**3 - 87*u**2 + 2920*u - 2800.
-(u - 7)*(u - 1)*(u + 20)**2
Let -3*b**5/4 - 21*b**4/2 - 165*b**3/4 - 75*b**2/2 + 42*b + 48 = 0. Calculate b.
-8, -4, -2, -1, 1
Determine j so that -2*j**5/7 + 82*j**4/7 - 1076*j**3/7 + 4804*j**2/7 - 6698*j/7 + 2890/7 = 0.
1, 5, 17
Factor -2*b**2/9 - 164*b/3 - 490/9.
-2*(b + 1)*(b + 245)/9
Factor -4*r**4.
-4*r**4
Factor -4*y**3 - 60*y**2 - 272*y - 336.
-4*(y + 2)*(y + 6)*(y + 7)
Find t such that -t**2 - 112*t - 3136 = 0.
-56
Factor -2*s**4 - 4*s**3 + 6*s**2 + 16*s + 8.
-2*(s - 2)*(s + 1)**2*(s + 2)
Factor -3*l**3 - 384*l**2.
-3*l**2*(l + 128)
Determine o, given that 3*o**2/5 + 222*o/5 - 45 = 0.
-75, 1
Factor 8*i**3 + 112*i**2 + 506*i + 726.
2*(i + 3)*(2*i + 11)**2
Factor h**4/2 + 89*h**3/2 + 129*h**2.
h**2*(h + 3)*(h + 86)/2
Factor a**2 - 153*a.
a*(a - 153)
Factor 2*s**4/9 + 4*s**3/9 - 2*s**2 - 4*s.
2*s*(s - 3)*(s + 2)*(s + 3)/9
Factor 35*m**2 - 380*m - 55.
5*(m - 11)*(7*m + 1)
Find f such that -4*f**4 + 148*f**3 - 744*f**2 - 11792*f - 19360 = 0.
-5, -2, 22
Find k, given that -4*k**3 + 60*k**2 - 108*k + 52 = 0.
1, 13
Find b such that -b**3 - 48*b**2 - 527*b - 480 = 0.
-32, -15, -1
Let 2*x**4 - 8*x**3 - 54*x**2 - 76*x - 32 = 0. Calculate x.
-2, -1, 8
Suppose -h**3 - 18*h**2 - 69*h - 52 = 0. What is h?
-13, -4, -1
Factor 14*t**2/5 - 116*t/5 + 32/5.
2*(t - 8)*(7*t - 2)/5
Factor 4*f**2 + 184*f + 180.
4*(f + 1)*(f + 45)
Find m such that 5*m**5 - 35*m**3 + 30*m**2 = 0.
-3, 0, 1, 2
Factor -2*c**4 - 14*c**3 + 82*c**2 - 66*c.
-2*c*(c - 3)*(c - 1)*(c + 11)
Suppose 3*i**4/4 + 195*i**3/4 + 141*i**2 + 93*i = 0. Calculate i.
-62, -2, -1, 0
Factor 3*s**2 + 1863*s - 1866.
3*(s - 1)*(s + 622)
Determine v, given that -3*v**2 - 1929*v - 3846 = 0.
-641, -2
Suppose 6*d**3/7 + 194*d**2/7 + 60*d/7 - 128/7 = 0. What is d?
-32, -1, 2/3
Factor 2*w**3/5 + 46*w**2 + 1294*w/5 - 1526/5.
2*(w - 1)*(w + 7)*(w + 109)/5
Solve -u**3 - 4*u**2 + u + 4 = 0.
-4, -1, 1
Factor 4*d**4/9 + 58*d**3/3 - 182*d**2/3 + 554*d/9 - 62/3.
2*(d - 1)**3*(2*d + 93)/9
Factor -p**2/4 + 143*p/2 - 20449/4.
-(p - 143)**2/4
Factor -3*b**4/2 + 3*b**3 + 21*b**2/2 + 6*b.
-3*b*(b - 4)*(b + 1)**2/2
Factor 5*y**4 - 15*y**3 - 115*y**2 - 165*y - 70.
5*(y - 7)*(y + 1)**2*(y + 2)
Factor 2*b**3/15 - 16*b**2/15 - 38*b/15 - 4/3.
2*(b - 10)*(b + 1)**2/15
Determine q, given that -5*q**2 + 1190*q = 0.
0, 238
Find w such that -13*w**4/5 - 54*w**3/5 - 12*w**2 - 8*w/5 = 0.
-2, -2/13, 0
Let 2*h**2/23 - 10*h/23 - 208/23 = 0. Calculate h.
-8, 13
Solve 2*i**4/9 + 110*i**3/9 - 2*i**2/3 - 326*i/9 + 220/9 = 0.
-55, -2, 1
Find d, given that -d**3/8 - 4*d**2 + 17*d/2 = 0.
-34, 0, 2
Solve -2*g**5 + 16*g**4 + 6*g**3 - 52*g**2 + 32*g = 0 for g.
-2, 0, 1, 8
Find l such that l**3/2 - 192*l**2 + 24576*l - 1048576 = 0.
128
Determine z so that -z**2/2 - 7*z = 0.
-14, 0
Let -363*o**4/2 + 2277*o**3 - 18111*o**2/2 + 12006*o - 5046 = 0. Calculate o.
1, 58/11
Factor -v**4/4 - 9*v**3/4 - 2*v**2.
-v**2*(v + 1)*(v + 8)/4
Solve t**3 + 32*t**2 - 541*t - 572 = 0 for t.
-44, -1, 13
What is u in 9*u**5/4 + 825*u**4/4 + 19543*u**3/4 + 27507*u**2/4 - 15930*u + 6075 = 0?
-45, -3, 2/3
Factor -3*u**2/2 + 69*u - 792.
-3*(u - 24)*(u - 22)/2
Determine f so that -f**3/2 + 9*f**2 - 30*f - 100 = 0.
-2, 10
Let w**5/3 - 4*w**4/3 + w**3/3 + 2*w**2 = 0. Calculate w.
-1, 0, 2, 3
Suppose -2*h**4/5 - 122*h**3 + 612*h**2/5 = 0. What is h?
-306, 0, 1
Factor -4*j**4 + 144*j**3 - 408*j**2 + 400*j - 132.
-4*(j - 33)*(j - 1)**3
Find b such that 4*b**5 - 172*b**4 + 2520*b**3 - 13328*b**2 + 10976*b = 0.
0, 1, 14
Determine s, given that -4805*s**4 - 39370*s**3 - 84365*s**2 - 15240*s - 720 = 0.
-4, -3/31
Factor -l**2/7 - 74*l/7.
-l*(l + 74)/7
Factor -o**4/8 + 15*o**3/8 - 27*o**2/8 + 13*o/8.
-o*(o - 13)*(o - 1)**2/8
Suppose 4*b**5/3 - 42*b**4 - 382*b**3/3 + 446*b**2 + 1038*b - 612 = 0. What is b?
-3, 1/2, 3, 34
Find k, given that -3*k**2 - 171*k = 0.
-57, 0
Factor 3*b**3 + 48*b**2 - 372*b + 528.
3*(b - 4)*(b - 2)*(b + 22)
Solve 4*c**5 - 12*c**4 + 12*c**3 - 4*c**2 = 0.
0, 1
Let 3*d**2 + 147*d + 144 = 0. Calculate d.
-48, -1
Find d such that 4*d**2/9 + 400*d/9 - 404/9 = 0.
-101, 1
Factor 2*l**3/5 + 194*l**2/5 + 77*l/2 + 48/5.
(l + 96)*(2*l + 1)**2/10
Find c, given that -2*c**3/7 - 2*c**2 - 24*c/7 = 0.
-4, -3, 0
Let 3*z**2/2 - 738*z + 90774 = 0. Calculate z.
246
Factor 3*r**4 + 69*r**3 + 180*r**2 - 2604*r + 2352.
3*(r - 4)*(r - 1)*(r + 14)**2
Factor -2*d**2/11 + 2424*d/11 - 7254/11.
-2*(d - 1209)*(d - 3)/11
Factor 36*j**3 + 328*j**2 + 572*j + 280.
4*(j + 1)*(j + 7)*(9*j + 10)
Suppose -2*n**3/7 + 48*n**2/7 + 104*n/7 = 0. What is n?
-2, 0, 26
Factor -s**4/3 - 294*s**3 - 195361*s**2/3 - 129360*s - 193600/3.
-(s + 1)**2*(s + 440)**2/3
Factor -3*d**2 + 90*d - 375.
-3*(d - 25)*(d - 5)
Factor 3*m**5 + 162*m**4 + 1914*m**3 - 6744*m**2 + 7083*m - 2418.
3*(m - 1)**3*(m + 26)*(m + 31)
Factor d**2/8 - 469*d/4 + 219961/8.
(d - 469)**2/8
Factor 2*v**4 - 1080*v**3 + 144716*v**2 + 292680*v + 146882.
2*(v - 271)**2*(v + 1)**2
Let 2*u**4/7 + 34*u**3/7 + 104*u**2/7 - 360*u/7 = 0. What is u?
-10, -9, 0, 2
Determine g so that 2*g**5/5 - 20*g**4 - 208*g**3/5 = 0.
-2, 0, 52
Solve -2*n**3/9 + 14*n**2/9 + 4*n = 0 for n.
-2, 0, 9
Let 4*h**2 + 4*h - 8 = 0. What is h?
-2, 1
Solve -5*c**4/2 + 5*c**3/2 + 40*c**2 + 50*c = 0 for c.
-2, 0, 5
Let 2*w**4/9 + 4*w**3/3 + 2*w**2/3 - 20*w/9 = 0. What is w?
-5, -2, 0, 1
Factor 5*v**5 + 150*v**4 - 845*v**3 + 1070*v**2 + 660*v - 1400.
5*(v - 2)**3*(v + 1)*(v + 35)
Let -2*g**5/7 - 6*g**4/7 + 4*g**3/7 + 24*g**2/7 + 16*g/7 = 0. What is g?
-2, -1, 0, 2
Factor 2*b**2 - 20*b - 112.
2*(b - 14)*(b + 4)
Factor 4*i**2/3 - 320*i - 964/3.
4*(i - 241)*(i + 1)/3
Factor 12*a**3/7 + 975*a**2/7 + 1203*a/7 + 240/7.
3*(a + 1)*(a + 80)*(4*a + 1)/7
Determine h so that 2*h**4/11 - 34*h**3/11 - 248*h**2/11 + 4984*h/11 - 4704/11 = 0.
-12, 1, 14
Factor -5*g**3/2 + 20*g**2 + 155*g/2 + 55.
-5*(g - 11)*(g + 1)*(g + 2)/2
Factor 8*a**3/3 - a**2/3 - 8*a/3 + 1/3.
(a - 1)*(a + 1)*(8*a - 1)/3
What is h in 4*h**2 - 44*h + 40 = 0?
1, 10
Let -2*i**3/9 - 70*i**2/9 - 376*i/9 + 448/9 = 0. What is i?
-28, -8, 1
Factor -m**2/2 - 2*m + 45/2.
-(m - 5)*(m + 9)/2
Factor -5*h**2 + 150*h - 145.
-5*(h - 29)*(h - 1)
Factor -3*a**2 + 111*a - 108.
-3*(a - 36)*(a - 1)
Solve i**3/4 - 5*i**2/4 - 3*i/2 = 0 for i.
-1, 0, 6
Find y such that -4*y**2/7 + 48*y/7 - 44/7 = 0.
1, 11
Find g such that -2*g**3/5 + 88*g**2/5 - 874*g/5 - 2116/5 = 0.
-2, 23
Factor -4*p**2 - 1224*p - 1220.
-4*(p + 1)*(p + 305)
Factor l**4 + 3*l**3 - l**2 - 3*l.
l*(l - 1)*(l + 1)*(l + 3)
What is f in 3*f**2 + 120*f - 4092 = 0?
-62, 22
Factor -5*g**2 + 410*g + 415.
-5*(g - 83)*(g + 1)
Let 5*s**4 + 735*s**3 + 26640*s**2 - 27380*s = 0. What is s?
-74, 0, 1
Factor 2*j**2 + 88*j + 456.
2*(j + 6)*(j + 38)
Find y such that -3*y**4/2 + 372*y**3 - 23064*y**2 = 0.
0, 124
Factor -2*o**2/9 - 208*o/3 - 5408.
-2*(o + 156)**2/9
Find n such that -3*n**4/2 + 30*n**3 - 375*n**2/2 + 465*n - 396 = 0.
2, 3, 4, 11
Solve 2*c**2 - 26*c - 60 = 0 for c.
