 0.
-1, 0, 1, 6
Factor 4*h**3/9 + 224*h**2/9 - 236*h/9 - 152/3.
4*(h - 2)*(h + 1)*(h + 57)/9
Solve -2*o**2 - 676*o = 0 for o.
-338, 0
Solve 16*w**5 - 40*w**4 + 33*w**3 - 10*w**2 + w = 0.
0, 1/4, 1
Factor -10*z**2/11 - 446*z/11 + 180/11.
-2*(z + 45)*(5*z - 2)/11
Factor b**2/11 + 46*b/11 + 45/11.
(b + 1)*(b + 45)/11
Factor -4*p**5 - 4*p**4 + 8*p**3 + 8*p**2 - 4*p - 4.
-4*(p - 1)**2*(p + 1)**3
Factor 28*a**3 - 124*a**2 - 248*a - 96.
4*(a - 6)*(a + 1)*(7*a + 4)
Find x, given that 3*x**2/5 + 51*x/5 = 0.
-17, 0
Solve 4*i**3/7 + 48*i**2/7 + 144*i/7 = 0.
-6, 0
Factor z**2 + 17*z + 42.
(z + 3)*(z + 14)
What is c in -5*c**2 + 625*c - 1230 = 0?
2, 123
Find k such that -2*k**4 - 10*k**3 + 18*k**2 + 162*k + 216 = 0.
-3, 4
Determine u so that -u**4 - 69*u**3 + 7*u**2 + 477*u - 414 = 0.
-69, -3, 1, 2
Factor -4*v**2 - 2344*v - 2340.
-4*(v + 1)*(v + 585)
Solve -4*g**4 - 28*g**3 + 160*g**2 - 176*g = 0 for g.
-11, 0, 2
What is v in 3*v**2/4 + 159*v/2 + 8427/4 = 0?
-53
Let -2*z**2 + 8140*z - 8282450 = 0. Calculate z.
2035
Solve -2816*j**5 + 2240*j**4 - 624*j**3 + 68*j**2 - 2*j = 0.
0, 1/22, 1/4
Factor 2*i**2 + 6*i.
2*i*(i + 3)
What is w in 4*w**5 + 76*w**4 + 140*w**3 + 68*w**2 = 0?
-17, -1, 0
What is s in -5*s**3/3 - 55*s**2/3 - 170*s/3 - 40 = 0?
-6, -4, -1
Find h such that -5*h**3 + 420*h**2 - 2695*h = 0.
0, 7, 77
Factor -2*c**3/11 + 274*c**2/11 - 11872*c/11 + 156800/11.
-2*(c - 56)**2*(c - 25)/11
Factor 9*m**2/4 + 12*m + 15/4.
3*(m + 5)*(3*m + 1)/4
Determine y, given that -28*y**4 + 99*y**3 + 268*y**2 - 84*y = 0.
-2, 0, 2/7, 21/4
Determine m, given that -2*m**2 + 20*m + 78 = 0.
-3, 13
What is j in 3*j**4 + 42*j**3 - 45*j**2 = 0?
-15, 0, 1
Find v such that -686*v**5/3 + 8134*v**4/3 + 532*v**3 - 5192*v**2/3 + 1840*v/3 - 64 = 0.
-1, 2/7, 12
Let 34*m**4/5 - 138*m**3/5 - 162*m**2/5 + 2*m = 0. Calculate m.
-1, 0, 1/17, 5
Solve 28*c**2 - 176*c + 48 = 0.
2/7, 6
Factor -2*f**2/9 + 128/9.
-2*(f - 8)*(f + 8)/9
Suppose -2*h**3/9 + 44*h**2/9 - 262*h/9 + 220/9 = 0. Calculate h.
1, 10, 11
Factor 3*l**2 + 21*l + 18.
3*(l + 1)*(l + 6)
Factor 3*j**3/7 - 3*j**2 + 6*j - 24/7.
3*(j - 4)*(j - 2)*(j - 1)/7
Determine r so that -r**4/4 - 11*r**3/4 - 43*r**2/4 - 69*r/4 - 9 = 0.
-4, -3, -1
Let -m**2/7 - 31*m/7 - 30/7 = 0. Calculate m.
-30, -1
Factor 4*g**2/3 + 116*g/3 + 184.
4*(g + 6)*(g + 23)/3
Factor -21*s**2 + 162*s - 312.
-3*(s - 4)*(7*s - 26)
Let 3*o**4 - 51*o**3 + 135*o**2 - 129*o + 42 = 0. Calculate o.
1, 14
Factor -2*c**4/7 - 188*c**3/7 - 104*c**2 - 720*c/7.
-2*c*(c + 2)**2*(c + 90)/7
Factor 16*p**2/5 + 22*p/5 - 4.
2*(p + 2)*(8*p - 5)/5
Factor 4*m**2 - 40*m - 156.
4*(m - 13)*(m + 3)
Find x, given that 2*x**3/5 - 868*x**2/5 + 93304*x/5 + 190096/5 = 0.
-2, 218
Factor -g**4/6 - 5*g**3/6 + 13*g**2/6 - 7*g/6.
-g*(g - 1)**2*(g + 7)/6
Factor 103823*g**5/4 + 240781*g**4/4 + 86809*g**3/2 + 20155*g**2/2 + 3775*g/4 + 125/4.
(g + 1)**2*(47*g + 5)**3/4
Solve -3*r**5/2 + 2*r**4 + 2*r**3 - 3*r**2 - r/2 + 1 = 0.
-1, -2/3, 1
Factor -4*k**3 - 740*k**2 - 33088*k + 106032.
-4*(k - 3)*(k + 94)**2
Factor -411*o**3 - 268*o**2 + 4*o.
-o*(3*o + 2)*(137*o - 2)
Determine k so that -18*k**2/5 - 116*k - 128/5 = 0.
-32, -2/9
Suppose -3*t**4 + 225*t**3 - 2844*t**2 + 8448*t + 11520 = 0. Calculate t.
-1, 8, 60
Let -9*l**5/4 + 231*l**4/4 - 1191*l**3/4 - 3699*l**2/4 - 714*l - 147 = 0. Calculate l.
-1, -1/3, 14
Factor l**5/6 - 5*l**4/2 + 25*l**3/2 - 145*l**2/6 + 20*l - 6.
(l - 6)**2*(l - 1)**3/6
Suppose -5*s**3 + 15*s**2 + 120*s + 140 = 0. Calculate s.
-2, 7
Find t, given that 5*t**2 - 470*t + 465 = 0.
1, 93
Factor 2*b**4 - 8*b**3 - 2*b**2 + 8*b.
2*b*(b - 4)*(b - 1)*(b + 1)
Factor 4*j**2 + 280*j + 3876.
4*(j + 19)*(j + 51)
Solve 2*g**2 - 302*g - 304 = 0.
-1, 152
Factor -3*z**2/2 + 393*z/2 + 198.
-3*(z - 132)*(z + 1)/2
Suppose -3*c**2 + 165*c - 318 = 0. Calculate c.
2, 53
Solve 5*b**3 - 95*b**2 + 355*b + 455 = 0.
-1, 7, 13
Solve -b**5/4 - 218*b**4 + b**3/2 + 436*b**2 - b/4 - 218 = 0 for b.
-872, -1, 1
Find k, given that -2*k**5 + 356*k**4 - 21900*k**3 + 508896*k**2 - 2709666*k + 2222316 = 0.
1, 6, 57
Let -w**2/3 - 278*w/3 = 0. What is w?
-278, 0
Factor -4*j**2 + 272*j + 7920.
-4*(j - 90)*(j + 22)
What is i in -2*i**5/13 - 6*i**4/13 - 2*i**3/13 + 6*i**2/13 + 4*i/13 = 0?
-2, -1, 0, 1
Solve 36*t**5 + 116*t**4 - 12*t**3 - 116*t**2 - 24*t = 0 for t.
-3, -1, -2/9, 0, 1
Factor -r**2 - 1622*r - 1621.
-(r + 1)*(r + 1621)
Find h, given that -h**5/7 - 93*h**4/7 - 783*h**3/7 - 2295*h**2/7 - 324*h = 0.
-84, -3, 0
Find y, given that -5*y**5 + 5*y**4 + 20*y**3 - 20*y**2 = 0.
-2, 0, 1, 2
Suppose -g**2 + 32*g + 185 = 0. Calculate g.
-5, 37
Factor 3*t**3 + 777*t**2 + 17352*t + 101520.
3*(t + 12)**2*(t + 235)
Determine s so that s**3 + 1581*s**2 + 624099*s - 625681 = 0.
-791, 1
Find v such that v**2 - 186*v - 760 = 0.
-4, 190
Factor 5*g**2/6 + 235*g/6 + 115/3.
5*(g + 1)*(g + 46)/6
Factor -8*i**3 - 1762*i**2 - 97240*i - 24200.
-2*(i + 110)**2*(4*i + 1)
Factor -4*k**4 - 224*k**3 + 232*k**2 + 224*k - 228.
-4*(k - 1)**2*(k + 1)*(k + 57)
What is d in d**5/10 + 11*d**4/5 + 121*d**3/10 = 0?
-11, 0
Find d such that 256*d**5 - 704*d**4 - 1616*d**3 + 1436*d**2 - 376*d + 32 = 0.
-2, 1/4, 4
Determine k, given that -k**4/7 + 58*k**3/7 + 375*k**2/7 + 576*k/7 = 0.
-3, 0, 64
Determine a, given that -a**3/4 + 497*a**2/2 - 247009*a/4 = 0.
0, 497
Suppose 3*i**4 - 12*i**3 - 180*i**2 + 864*i = 0. Calculate i.
-8, 0, 6
Factor 109561*q**4/2 - 111547*q**3 + 117541*q**2/2 - 2022*q + 18.
(q - 1)**2*(331*q - 6)**2/2
Factor -2*j**4/17 + 30*j**3/17 - 1000*j/17.
-2*j*(j - 10)**2*(j + 5)/17
Let -16*j**3 + 28*j**2 + 56*j + 12 = 0. Calculate j.
-1, -1/4, 3
Factor -p**3/3 + 5*p**2 + 6*p - 32/3.
-(p - 16)*(p - 1)*(p + 2)/3
Solve 3*g**3/4 - 1869*g**2/4 - 468*g = 0.
-1, 0, 624
Factor -1372*n**3 + 1470*n**2 - 525*n + 125/2.
-(14*n - 5)**3/2
Determine o so that -o**4/3 - o**3 - o**2/3 + o + 2/3 = 0.
-2, -1, 1
Determine b, given that -2*b**4/5 + 7*b**3/5 - b**2/5 - 2*b = 0.
-1, 0, 2, 5/2
Find z such that -2*z**2/13 - 114*z/13 - 40 = 0.
-52, -5
Factor -2*d**4/21 + 10616*d**3/21 - 14087432*d**2/21.
-2*d**2*(d - 2654)**2/21
Factor -5*u**3/4 - 1415*u**2/4 + 2845*u/4 - 1425/4.
-5*(u - 1)**2*(u + 285)/4
What is l in -35*l**5 + 255*l**4 - 385*l**3 - 155*l**2 + 420*l - 100 = 0?
-1, 2/7, 1, 2, 5
Find a such that -3*a**3 - 1548*a**2 - 194967*a + 1226178 = 0.
-261, 6
Factor 12*h**2 + 280*h/3 - 64/3.
4*(h + 8)*(9*h - 2)/3
Find d, given that 5*d**2 + 115*d - 700 = 0.
-28, 5
Find g such that 2*g**3 - 78*g - 140 = 0.
-5, -2, 7
Factor -2*d**3/9 - 8*d**2/9 - 10*d/9 - 4/9.
-2*(d + 1)**2*(d + 2)/9
Determine q so that 14*q**3 - 20*q**2 - 58*q - 24 = 0.
-1, -4/7, 3
Suppose 150*o**2/11 - 720*o/11 + 864/11 = 0. Calculate o.
12/5
Factor -f**2/8 + 5*f/4 - 25/8.
-(f - 5)**2/8
Let q**2 + 8*q + 7 = 0. What is q?
-7, -1
Suppose 8*i**4/5 + 158*i**3/5 - 576*i**2/5 + 502*i/5 - 92/5 = 0. What is i?
-23, 1/4, 1, 2
Factor -8*k**4/3 + 46*k**3/3 - 20*k**2 - 6*k.
-2*k*(k - 3)**2*(4*k + 1)/3
Factor 2*f**2 - 7080*f + 6265800.
2*(f - 1770)**2
Suppose -3*v**3 + 315*v**2 - 9261*v + 50421 = 0. Calculate v.
7, 49
Let 2*b**5/3 + 8*b**4/3 + 2*b**3 = 0. Calculate b.
-3, -1, 0
Find u such that -3*u**5 + 15*u**4 - 6*u**3 - 60*u**2 + 72*u = 0.
-2, 0, 2, 3
What is p in p**3/6 - 5*p**2/6 + 2*p/3 = 0?
0, 1, 4
Determine b, given that 3*b**2 - 2640*b + 580800 = 0.
440
Factor 6*d**3 + 79*d**2 + 145*d + 22.
(d + 2)*(d + 11)*(6*d + 1)
Solve 5*a**4/2 + 127*a**3 - 51*a**2/2 = 0 for a.
-51, 0, 1/5
What is y in -3*y**3/7 - 3978*y**2/7 - 1758276*y/7 - 259052664/7 = 0?
-442
Determine c, given that c**4/2 - 3*c**3/2 - 2*c**2 = 0.
-1, 0, 4
Solve -3*k**2/4 - 3147*k/4 = 0.
-1049, 0
Factor -44*u**2 + 236*u - 80.
-4*(u - 5)*(11*u - 4)
Factor 5*c**5 + 345*c**4 + 6450*c**3 + 17330*c**2 + 16665*c + 5445.
5*(c + 1)**3*(c + 33)**2
Factor 4*k**5 + 4*k**4 - 12*k**3 - 4*k**2 + 8*k.
4*k*(k - 1)**2*(k + 1)*(k + 2)
Solve w**2/4 - 143*w + 568 = 0.
4, 568
Find b such that -2*b**2/3 + 80*b - 2400 = 0.
60
Determine z, given that -z**5/5 + 14*z**4/5 - 69*z**3/5 + 144*z**2/5 - 108*z/5 = 0.
0, 2, 3, 6
Factor b**2 - 9*b + 18.
(b - 6)*(b - 3)
Factor -4*b**4 - 68*b**3 - 64*b**2.
-4*b**2*(b + 1)*(b + 16)
Factor -6*c**3 - 477*c**2 - 9828*c - 13689.
-3*(c + 39)**2*(2*c + 3)
Suppose 5*d**4 - 50*d**3 + 115*d**2 - 70*d = 0. What is d?
0, 1, 2, 7
Factor 3*y**2/4 + 2