/17 + 4*i/17 + 6/17.
-2*(i - 3)*(i + 1)/17
Factor 4*s**5 + 48*s**4 + 180*s**3 + 232*s**2 + 96*s.
4*s*(s + 1)**2*(s + 4)*(s + 6)
Factor -3*b**5 + 72*b**4 + 156*b**3 + 6*b**2 - 153*b - 78.
-3*(b - 26)*(b - 1)*(b + 1)**3
Factor 2*h**3 - 488*h**2.
2*h**2*(h - 244)
Determine m, given that -2*m**2 - 324*m - 1264 = 0.
-158, -4
Factor -2*j**2/3 - 14*j/3 + 20.
-2*(j - 3)*(j + 10)/3
Let -2*j**4/3 + 8*j**3/3 - 8*j**2/3 = 0. What is j?
0, 2
Factor -2*z**3/9 - 2*z**2/3 + 2*z - 10/9.
-2*(z - 1)**2*(z + 5)/9
Factor z**2 - 8316*z + 17288964.
(z - 4158)**2
Factor 2*l**5/9 + 22*l**4/9 + 68*l**3/9 + 92*l**2/9 + 58*l/9 + 14/9.
2*(l + 1)**4*(l + 7)/9
Find r, given that -54*r**5/5 + 162*r**4/5 - 138*r**3/5 - 18*r**2/5 + 72*r/5 - 24/5 = 0.
-2/3, 2/3, 1
Factor -3*q**4/7 + 180*q**3/7 - 432*q**2 + 1344*q.
-3*q*(q - 28)**2*(q - 4)/7
Find x such that 4*x**2/3 - 38*x/3 + 6 = 0.
1/2, 9
Solve w**3 - 29*w**2 + 278*w - 880 = 0 for w.
8, 10, 11
What is b in -4*b**3 - 64*b**2 - 112*b = 0?
-14, -2, 0
Solve -6144*i**2 + 2432*i - 722/3 = 0.
19/96
Solve 4*x**2/3 + 12*x + 24 = 0 for x.
-6, -3
Factor -3*t**2 - 3147*t - 3144.
-3*(t + 1)*(t + 1048)
Factor 3*u**4 - 9*u**3 + 12*u.
3*u*(u - 2)**2*(u + 1)
Find j such that -28*j**4/5 + 458*j**3/3 + 5398*j**2/15 - 1096*j/15 - 824/3 = 0.
-2, -1, 5/6, 206/7
Determine t, given that -3*t**4/4 + 42*t**3 - 1719*t**2/4 + 3045*t/2 - 1650 = 0.
2, 5, 44
Factor q**2/3 + 382*q/3 + 36481/3.
(q + 191)**2/3
Factor -2*g**5/11 + 196*g**4/11 - 3954*g**3/11 - 41552*g**2/11 - 89888*g/11.
-2*g*(g - 53)**2*(g + 4)**2/11
Factor 3*u**2 + 159*u + 1188.
3*(u + 9)*(u + 44)
Let -m**5/3 + 4*m**3/3 - 2*m**2/3 - m + 2/3 = 0. Calculate m.
-2, -1, 1
Find x such that -x**2/7 - 61*x/7 - 118/7 = 0.
-59, -2
Factor -10*y**2/3 + 15*y + 25/3.
-5*(y - 5)*(2*y + 1)/3
Factor 5*c**5 + 160*c**4 + 1805*c**3 + 8150*c**2 + 11500*c + 5000.
5*(c + 1)**2*(c + 10)**3
Determine d so that -3*d**3 - 963*d**2 + 12*d + 3852 = 0.
-321, -2, 2
Solve 2*d**3 + 2*d**2 - 108*d - 288 = 0 for d.
-6, -3, 8
Determine z, given that 2*z**4/7 - 12*z**3/7 + 22*z**2/7 - 12*z/7 = 0.
0, 1, 2, 3
Factor 5*m**5 - 195*m**4 + 1590*m**3 + 5990*m**2 + 6405*m + 2205.
5*(m - 21)**2*(m + 1)**3
Factor 2*b**3 - 2106*b**2 + 8400*b - 8392.
2*(b - 1049)*(b - 2)**2
Factor -5*x**2 + 20*x - 15.
-5*(x - 3)*(x - 1)
Factor -b**5 + 213*b**4 - 15123*b**3 + 357911*b**2.
-b**2*(b - 71)**3
Suppose -2*x**4 - 12*x**3 - 10*x**2 = 0. What is x?
-5, -1, 0
Find t, given that t**4 - 9*t**3 + 25*t**2 - 27*t + 10 = 0.
1, 2, 5
Factor -3*g**3 - 30*g**2 + 33*g.
-3*g*(g - 1)*(g + 11)
Solve 15*q**5/2 - 53*q**4/4 - 23*q**3/2 + 57*q**2/4 + 4*q - 1 = 0 for q.
-1, -2/5, 1/6, 1, 2
Factor -s**3 - 4*s**2 + 15*s + 18.
-(s - 3)*(s + 1)*(s + 6)
Suppose -2*i**3 - 46*i**2 - 120*i = 0. What is i?
-20, -3, 0
Factor 5*s**2 - 75260*s + 283203380.
5*(s - 7526)**2
Determine v so that v**2 + 12*v + 27 = 0.
-9, -3
Solve 6*q**5 - 63*q**4/2 + 3*q**3 + 45*q**2/2 = 0 for q.
-3/4, 0, 1, 5
Factor -8*y**2/5 - 878*y/5 + 44.
-2*(y + 110)*(4*y - 1)/5
Factor 4*b**3 + 472*b**2 - 22268*b + 225264.
4*(b - 19)**2*(b + 156)
Factor 5*p**5 + 70*p**4 + 120*p**3.
5*p**3*(p + 2)*(p + 12)
Solve o**2/2 + 47*o/2 + 23 = 0.
-46, -1
Factor -j**4 + 12*j**3 + 110*j**2 - 300*j - 2125.
-(j - 17)*(j - 5)*(j + 5)**2
Solve -2*x**2/11 + 38*x/11 + 40/11 = 0.
-1, 20
Let 15*t**4 - 3500*t**3 + 209890*t**2 - 664700*t + 198375 = 0. Calculate t.
1/3, 3, 115
Factor 5*g**2 + 525*g - 2750.
5*(g - 5)*(g + 110)
Suppose -2*f**3 - 40*f**2 + 238*f - 300 = 0. Calculate f.
-25, 2, 3
Suppose 4*i**2/9 - 724*i/3 = 0. Calculate i.
0, 543
Factor 2*v**5/11 - 398*v**4/11.
2*v**4*(v - 199)/11
Factor -t**4/2 + 3*t**3/4 + t**2/2 - 3*t/4.
-t*(t - 1)*(t + 1)*(2*t - 3)/4
Factor -2*p**3 + 1356*p**2 - 2706*p + 1352.
-2*(p - 676)*(p - 1)**2
Factor -r**3/2 - 257*r**2/2 + 652*r - 786.
-(r - 3)*(r - 2)*(r + 262)/2
Factor 5*x**3 + 730*x**2 + 2860*x + 2840.
5*(x + 2)**2*(x + 142)
Factor -3*o**5/2 - 6*o**4 + 24*o**2 + 24*o.
-3*o*(o - 2)*(o + 2)**3/2
Factor 6*q**3/7 - 15*q**2/7 + 12*q/7 - 3/7.
3*(q - 1)**2*(2*q - 1)/7
Factor -3*l**2 + 3153*l.
-3*l*(l - 1051)
Factor 4*o**3 - 84*o**2 + 224*o - 144.
4*(o - 18)*(o - 2)*(o - 1)
Suppose -3*y**3/8 - 9*y**2/8 - 3*y/4 = 0. What is y?
-2, -1, 0
Factor 9*g**5/5 + 5*g**4 + 21*g**3/5 + 3*g**2/5 - 2*g/5.
g*(g + 1)**3*(9*g - 2)/5
Factor i**3 + 6*i**2 + 9*i + 4.
(i + 1)**2*(i + 4)
Determine j so that -3*j**5/2 + 65*j**4 - 521*j**3/2 + 271*j**2 + 82*j - 156 = 0.
-2/3, 1, 2, 39
Factor -2*r**2/11 + 2*r/11 + 4/11.
-2*(r - 2)*(r + 1)/11
Factor 2*j**4/3 + 2*j**3 - 2*j**2/3 - 2*j.
2*j*(j - 1)*(j + 1)*(j + 3)/3
Factor 22*r**3 - 367*r**2 + 242*r - 32.
(r - 16)*(2*r - 1)*(11*r - 2)
Find j such that 2*j**5/3 + 10*j**4 + 50*j**3 + 290*j**2/3 + 80*j + 24 = 0.
-6, -1
Factor 5*l**3/2 - 300*l**2 + 12000*l - 160000.
5*(l - 40)**3/2
Factor 6*g**5/7 - 6*g**4/7 - 18*g**3/7 + 30*g**2/7 - 12*g/7.
6*g*(g - 1)**3*(g + 2)/7
What is w in 28*w**3 - 48*w**2 + 12*w + 8 = 0?
-2/7, 1
Determine b so that 16*b**3/9 + 548*b**2/9 - 2984*b/9 - 260/3 = 0.
-39, -1/4, 5
What is j in 16*j**4 - 104*j**3 + 132*j**2 - 62*j + 10 = 0?
1/2, 5
Determine c, given that -7*c**4/8 - 3*c**3/2 - 3*c**2/8 + c/4 = 0.
-1, 0, 2/7
Factor c**4/4 + 2635*c**3 + 20829675*c**2/2 + 18295397875*c + 48208373400625/4.
(c + 2635)**4/4
Factor 26*p**4/3 + 394*p**3/3 + 670*p**2 + 3550*p/3 + 500/3.
2*(p + 5)**3*(13*p + 2)/3
Factor 5*c**2/4 + 235*c/2 + 11045/4.
5*(c + 47)**2/4
Factor -5*k**4 - 45*k**3.
-5*k**3*(k + 9)
Factor -20*c**3 - 55*c**2 - 50*c - 15.
-5*(c + 1)**2*(4*c + 3)
Suppose l**5/6 - 5*l**4/3 + 13*l**3/3 - 4*l**2/3 - 9*l/2 + 3 = 0. What is l?
-1, 1, 3, 6
Factor -4*d**2 + 32*d + 132.
-4*(d - 11)*(d + 3)
Determine g, given that 2*g**5/5 + 2*g**4/5 - 6*g**3/5 - 2*g**2/5 + 4*g/5 = 0.
-2, -1, 0, 1
Factor 245*i**3 - 30240*i**2 - 17340*i - 2480.
5*(i - 124)*(7*i + 2)**2
Factor -4*a**3/9 + 104*a**2/9 - 196*a/9 + 32/3.
-4*(a - 24)*(a - 1)**2/9
Let -5*n**5 - 855*n**4 - 28515*n**3 + 691435*n**2 - 2859480*n - 3578580 = 0. Calculate n.
-94, -1, 9
Suppose -11*t**5/4 - 31*t**4/4 - 5*t**3/4 + 35*t**2/4 + 4*t - 1 = 0. What is t?
-2, -1, 2/11, 1
Factor 3*m**4 + 3*m**3 - 3*m**2 - 3*m.
3*m*(m - 1)*(m + 1)**2
Find m such that m**4 - 15*m**2 + 10*m + 24 = 0.
-4, -1, 2, 3
Factor -2*y**5/7 - 60*y**4/7 - 384*y**3/7 + 1024*y**2/7.
-2*y**2*(y - 2)*(y + 16)**2/7
Factor 50*j**2 - 88*j - 24.
2*(j - 2)*(25*j + 6)
What is l in 4*l**2 - 1204*l - 9888 = 0?
-8, 309
Solve s**4/8 - 9*s**3/4 - 14*s**2 - 39*s/4 + 207/8 = 0.
-3, 1, 23
Determine w so that 30*w**2 + 32*w + 2 = 0.
-1, -1/15
Determine s, given that -2*s**4/7 - 38*s**3/7 + 12*s**2 = 0.
-21, 0, 2
Solve 2*a**3 + 38*a**2 = 0.
-19, 0
Determine x so that -4*x**2 - 2112*x - 2108 = 0.
-527, -1
Let 4*c**2 + 20*c - 704 = 0. Calculate c.
-16, 11
What is h in -6*h**4 + 867*h**3 - 4599*h**2 + 1653*h + 2085 = 0?
-1/2, 1, 5, 139
Find j, given that -2*j**4 - 544*j**3/9 - 1192*j**2/3 + 2816*j/3 + 2048/9 = 0.
-16, -2/9, 2
Determine g, given that -g**2/3 - 51*g - 150 = 0.
-150, -3
Factor 5*m**2/3 + 196*m - 833/3.
(m + 119)*(5*m - 7)/3
Find v such that 5*v**5 + 110*v**4 + 525*v**3 = 0.
-15, -7, 0
Factor i**2/5 + 59*i/5 - 122/5.
(i - 2)*(i + 61)/5
Factor -2*g**3 - 372*g**2 - 23064*g - 476656.
-2*(g + 62)**3
Factor j**3/3 + 5*j**2.
j**2*(j + 15)/3
Factor i**4 - 5*i**3 - i**2 + 5*i.
i*(i - 5)*(i - 1)*(i + 1)
Factor 138*p**3 - 147*p**2 + 9*p.
3*p*(p - 1)*(46*p - 3)
Factor x**5/7 - 5*x**4/7 - 2*x**3.
x**3*(x - 7)*(x + 2)/7
Find j such that j**5 + 7*j**4 + 2*j**3 - 28*j**2 - 24*j = 0.
-6, -2, -1, 0, 2
Suppose -4*i**4/3 - 4*i**3 + 148*i**2/3 - 44*i - 96 = 0. What is i?
-8, -1, 3
Solve 3*r**3/5 + 186*r**2/5 - 2556*r/5 + 7992/5 = 0.
-74, 6
Factor -3*d**2 - 1416*d - 167088.
-3*(d + 236)**2
Let 3*b**5 - 75*b**4 + 336*b**3 + 1752*b**2 + 336*b - 2352 = 0. Calculate b.
-2, 1, 14
Factor 2*y**3 + 208*y**2 + 410*y + 204.
2*(y + 1)**2*(y + 102)
Find t such that 8*t**4 + 140*t**3 + 580*t**2 + 640*t + 192 = 0.
-12, -4, -1, -1/2
Factor 3*h**3 + 75*h**2 + 237*h - 315.
3*(h - 1)*(h + 5)*(h + 21)
Factor -184*k**2 + 550*k + 6.
-2*(k - 3)*(92*k + 1)
Factor -o**4/3 - 20*o**3/3 - 50*o**2 - 500*o/3 - 625/3.
-(o + 5)**4/3
Suppose 1156*b**5 + 23392*b**4 + 5456*b**3 + 320*b**2 = 0. Calculate b.
-20, -2/17, 0
What is o in 10*o**2/9 + 22*o/9 - 8 = 0?
-4, 9/5
Factor 45*p**4 + 35*p**3 - 55*p**2 - 3