**4 + 624*g**3 - 834*g**2 - 536*g - 72 = 0. Calculate g.
-1/4, 2, 18
Determine a, given that 3*a**5 + 3*a**4 - 24*a**3 - 24*a**2 + 48*a + 48 = 0.
-2, -1, 2
Factor -2*p**3 + 542*p**2 - 36448*p - 36992.
-2*(p - 136)**2*(p + 1)
Solve 6*z**4 + 22*z**3 + 6*z**2 - 22*z - 12 = 0 for z.
-3, -1, -2/3, 1
Determine k so that -98*k**5/13 + 9156*k**4/13 - 3858*k**3/13 - 4456*k**2/13 - 744*k/13 = 0.
-2/7, 0, 1, 93
Factor -f**3/5 + 2*f**2 + 52*f/5 + 56/5.
-(f - 14)*(f + 2)**2/5
Solve i**4/2 + 3*i**3 - 11*i + 15/2 = 0 for i.
-5, -3, 1
Find t such that -15*t**3 - 69*t**2 + 120*t - 36 = 0.
-6, 2/5, 1
Factor -2*y**5/9 - 280*y**4/9 - 4096*y**3/9 - 15872*y**2/9.
-2*y**2*(y + 8)**2*(y + 124)/9
Suppose 2*y**3 - 68*y**2 - 862*y - 792 = 0. Calculate y.
-9, -1, 44
Determine k, given that -177*k**2/5 - 105*k + 18/5 = 0.
-3, 2/59
Factor 2*k**3 + 46*k**2 + 310*k + 650.
2*(k + 5)**2*(k + 13)
Suppose -24*x**4 - 116*x**3 - 180*x**2 - 88*x = 0. What is x?
-2, -11/6, -1, 0
Factor 2*u**3/5 + 28*u**2/5.
2*u**2*(u + 14)/5
Suppose -39*o**3/2 + 231*o**2/2 - 207*o + 108 = 0. What is o?
12/13, 2, 3
Determine w so that 110*w**2/17 + 6*w/17 = 0.
-3/55, 0
Find t such that t**4 - 44*t**3 - 342*t**2 - 756*t - 459 = 0.
-3, -1, 51
Factor -c**3 + 4*c**2 + 5*c.
-c*(c - 5)*(c + 1)
Find i, given that -11*i**5/6 - 76*i**4/3 + 13*i**3/2 + 76*i**2/3 - 14*i/3 = 0.
-14, -1, 0, 2/11, 1
Factor n**5 + 2*n**4 - 5*n**3 - 6*n**2.
n**2*(n - 2)*(n + 1)*(n + 3)
Factor d**2/6 + 7*d/3 - 16/3.
(d - 2)*(d + 16)/6
Let 5*r**3 - 70*r**2 = 0. What is r?
0, 14
What is j in -57122*j**4/3 + 720616*j**3/3 - 1136356*j**2 + 7167784*j/3 - 5651522/3 = 0?
41/13
Factor -2*x**3/7 + 94*x**2/7 + 96*x/7.
-2*x*(x - 48)*(x + 1)/7
Factor 93*p**2/4 - 141*p + 9.
3*(p - 6)*(31*p - 2)/4
Suppose s**2/2 + 51*s/2 + 49 = 0. What is s?
-49, -2
Determine p, given that 4*p**2 + 656*p - 660 = 0.
-165, 1
Factor n**2/5 + 33*n/5 + 62/5.
(n + 2)*(n + 31)/5
Factor -3*b**4 - 15*b**3 + 9*b**2 + 39*b - 30.
-3*(b - 1)**2*(b + 2)*(b + 5)
Suppose -4*r**3 - 24*r**2 - 48*r - 32 = 0. Calculate r.
-2
Suppose -g**5 + 77*g**4/3 + 287*g**3/3 + 29*g**2 = 0. Calculate g.
-3, -1/3, 0, 29
Determine o so that o**2 - 81*o + 1298 = 0.
22, 59
Find l, given that -4*l**4 + 36*l**3 - 116*l**2 + 156*l - 72 = 0.
1, 2, 3
Suppose -k**2/5 + 406*k + 2031/5 = 0. What is k?
-1, 2031
Factor 3514*w**3/5 - 2*w**2/15.
2*w**2*(5271*w - 1)/15
Factor -13*v**3/2 + 12*v**2 + 2*v.
-v*(v - 2)*(13*v + 2)/2
Suppose 4*o**5 - 608*o**4 + 24868*o**3 - 134936*o**2 + 260464*o - 170528 = 0. What is o?
2, 73
Factor -18*a**4 - 206*a**3 - 800*a**2/9 - 88*a/9.
-2*a*(a + 11)*(9*a + 2)**2/9
Factor -3993*y**5 + 500940*y**4 - 15574185*y**3 - 8594610*y**2 - 1568700*y - 95256.
-3*(y - 63)**2*(11*y + 2)**3
Factor -108*i**5/7 - 15*i**4 + 3*i**3/7.
-3*i**3*(i + 1)*(36*i - 1)/7
Factor -3*y**2/4 + 2832*y.
-3*y*(y - 3776)/4
Let -2*s**3/15 + 58*s**2/5 - 258*s + 3698/15 = 0. Calculate s.
1, 43
Find l such that 10*l**3/3 + 35*l**2/3 + 35*l/3 + 10/3 = 0.
-2, -1, -1/2
Factor 9*o**2/8 + 15*o/2 + 9/2.
3*(o + 6)*(3*o + 2)/8
What is r in 4*r**2 - 320*r - 324 = 0?
-1, 81
Factor -1372*c**3 - 1470*c**2 - 525*c - 125/2.
-(14*c + 5)**3/2
Let -6050*r**3/17 - 330*r**2 + 432*r/17 - 8/17 = 0. Calculate r.
-1, 2/55
Factor 7*v**3 + 83*v**2/6 - v/3.
v*(v + 2)*(42*v - 1)/6
Factor -2*k**2 - 120*k - 232.
-2*(k + 2)*(k + 58)
Factor -s**3/5 - s**2 - 6*s/5.
-s*(s + 2)*(s + 3)/5
Determine b, given that 2*b**2/11 + 516*b/11 + 33282/11 = 0.
-129
Determine y, given that 2*y**3/5 + 8*y**2/5 = 0.
-4, 0
Determine k, given that 8*k**4 + 388*k**3 + 1940*k**2 + 2028*k - 1548 = 0.
-43, -3, 1/2
Determine n so that -3*n**5/2 + 27*n**4/2 - 69*n**3/2 + 21*n**2/2 + 36*n - 24 = 0.
-1, 1, 4
Factor -6*l**3/5 - 18*l**2/5 + 12*l.
-6*l*(l - 2)*(l + 5)/5
Find c such that 3*c**5/4 + 3*c**4 + 3*c**3/4 - 9*c**2/2 = 0.
-3, -2, 0, 1
Solve -4*i**2 - 8*i + 96 = 0.
-6, 4
Let 5*d**2 + 3590*d - 3595 = 0. Calculate d.
-719, 1
What is j in 3*j**3 - 12*j**2 - 9*j + 54 = 0?
-2, 3
Solve -2*m**4 + 22*m**3 - 74*m**2 + 90*m - 36 = 0 for m.
1, 3, 6
Suppose 2*o**2 - 4*o + 2 = 0. What is o?
1
Let -2*q**3/9 + 40*q**2/9 - 56*q/9 - 32 = 0. What is q?
-2, 4, 18
Factor 10*q**2/9 + 112*q/3 - 136/9.
2*(q + 34)*(5*q - 2)/9
Find n such that -3*n**5/4 + 3*n**4/2 + 27*n**3/4 - 3*n**2/2 - 6*n = 0.
-2, -1, 0, 1, 4
Suppose -5*w**4/3 - 8*w**3 - 9*w**2 = 0. What is w?
-3, -9/5, 0
Suppose s**4/4 + 17*s**3/4 + 24*s**2 + 53*s + 40 = 0. What is s?
-8, -5, -2
Solve -h**3 - h**2 + 21*h + 45 = 0 for h.
-3, 5
Factor 8*r**4 + 129*r**3 + 248*r**2 + 141*r + 14.
(r + 1)**2*(r + 14)*(8*r + 1)
Factor 3*l**2 + 810*l - 1632.
3*(l - 2)*(l + 272)
Factor 3*k**3/7 + 1755*k**2/7 + 342225*k/7 + 22244625/7.
3*(k + 195)**3/7
Factor -2*b**2/9 + 13444*b/9 - 22592642/9.
-2*(b - 3361)**2/9
Factor -2*m**2/5 + 424*m/5 - 168.
-2*(m - 210)*(m - 2)/5
What is n in 3*n**4 - 6*n**3 - 36*n**2 - 42*n - 15 = 0?
-1, 5
Factor -r**2/10 + 1737*r/10.
-r*(r - 1737)/10
Determine x, given that x**4 + 17*x**3 - 3*x**2 - 53*x - 34 = 0.
-17, -1, 2
What is d in 2*d**4/3 - 10*d**3/3 - 8*d**2/3 + 40*d/3 = 0?
-2, 0, 2, 5
Factor -2*x**4/11 + 4*x**3 - 192*x**2/11 - 576*x/11.
-2*x*(x - 12)**2*(x + 2)/11
Factor 5*o**2 - 55*o - 130.
5*(o - 13)*(o + 2)
Factor -5*c**3 - 10*c**2 + 5*c + 10.
-5*(c - 1)*(c + 1)*(c + 2)
Determine c so that c**2/4 - 275*c/2 + 75625/4 = 0.
275
Factor 4*o**4 + 56*o**3 + 276*o**2 + 560*o + 400.
4*(o + 2)**2*(o + 5)**2
What is s in -8*s**4 - 2*s**3 + 22*s**2 - 12*s = 0?
-2, 0, 3/4, 1
Factor 3*b**2/5 - 15*b - 252/5.
3*(b - 28)*(b + 3)/5
Find x such that 4*x**2 + 3984*x + 992016 = 0.
-498
Let y**5/3 + 5*y**4/3 - y**3/3 - 5*y**2/3 = 0. Calculate y.
-5, -1, 0, 1
Suppose 3*f**2 - 36*f + 81 = 0. What is f?
3, 9
Factor -3*x**4 - 834*x**3 - 1659*x**2 - 828*x.
-3*x*(x + 1)**2*(x + 276)
Factor c**3 - 13*c**2 - 9*c + 405.
(c - 9)**2*(c + 5)
Determine s so that 2*s**4/5 - 82*s**3/5 + 42*s**2 + 674*s/5 + 76 = 0.
-1, 5, 38
Solve -2*v**2/7 - 992*v/7 - 123008/7 = 0.
-248
Find u, given that -5*u**2 + 360*u - 355 = 0.
1, 71
Factor -3*k**3 - 27*k**2 + 243*k - 405.
-3*(k - 3)**2*(k + 15)
Determine u so that -2*u**5 + 2*u**4 + 4*u**3 = 0.
-1, 0, 2
Find i, given that -i**4 + 17*i**3 - 96*i**2 + 208*i - 128 = 0.
1, 4, 8
What is b in 3*b**3/5 + 78*b**2/5 + 264*b/5 = 0?
-22, -4, 0
Find i such that -2*i**3/3 - 4*i**2/3 + 26*i/3 - 20/3 = 0.
-5, 1, 2
Find q, given that -3*q**2 - 294*q = 0.
-98, 0
Let 2*a**4 + 6*a**3 - 2*a**2 - 6*a = 0. Calculate a.
-3, -1, 0, 1
Factor 25*r**3 + 5*r**2.
5*r**2*(5*r + 1)
Solve -4*o**5/15 - 26*o**4/15 - 2*o**3 + 2*o**2/15 + 2*o/3 = 0.
-5, -1, 0, 1/2
Solve 4*k**5/3 - 172*k**4/3 + 1180*k**3/3 - 2068*k**2/3 - 1184*k/3 + 2240/3 = 0 for k.
-1, 1, 4, 35
Factor -2*g**2/7 - 2082*g/7 + 2084/7.
-2*(g - 1)*(g + 1042)/7
Solve -24*u**4 + 116*u**3 - 52*u**2 - 228*u - 36 = 0 for u.
-1, -1/6, 3
Let -3*y**4 - 6*y**3 + 69*y**2 + 72*y - 432 = 0. Calculate y.
-4, 3
Factor 2*a**3 + 18*a**2 + 28*a - 48.
2*(a - 1)*(a + 4)*(a + 6)
Solve -3*c**5 + 54*c**4 - 213*c**3 - 54*c**2 + 216*c = 0 for c.
-1, 0, 1, 6, 12
Let -5*u**2/2 + 75*u - 1045/2 = 0. What is u?
11, 19
Find a, given that a**4 + 15*a**3/4 - 6*a**2 + 5*a/4 = 0.
-5, 0, 1/4, 1
Factor 5*b**3 - 55*b**2 - 2300*b - 2240.
5*(b - 28)*(b + 1)*(b + 16)
Factor 2*x**2 - 112*x - 354.
2*(x - 59)*(x + 3)
Suppose 2*f**3/7 - 64*f**2/7 - 2*f/7 + 64/7 = 0. What is f?
-1, 1, 32
Let -2*r**5/7 - 92*r**4/7 - 506*r**3/7 - 152*r**2 - 968*r/7 - 320/7 = 0. What is r?
-40, -2, -1
Suppose -3*r**3/4 + 33*r**2/4 + 39*r - 105 = 0. What is r?
-5, 2, 14
Solve -8*t**4/9 - 130*t**3/9 + 34*t**2/3 = 0 for t.
-17, 0, 3/4
Let 2*w**3 + 86*w**2 + 1222*w + 5746 = 0. Calculate w.
-17, -13
Factor 2*n**2 - 12*n.
2*n*(n - 6)
Factor s**2/2 + 9*s/2 - 11.
(s - 2)*(s + 11)/2
What is m in -4*m**3 - 8*m**2 = 0?
-2, 0
Factor -3*r**4/2 + 1797*r**3/2.
-3*r**3*(r - 599)/2
Factor -2*n**5/7 - 2*n**4/7 + 36*n**3/7 + 104*n**2/7 + 80*n/7.
-2*n*(n - 5)*(n + 2)**3/7
Factor -14*a**3/9 - 122*a**2/9 - 160*a/9 + 56/9.
-2*(a + 2)*(a + 7)*(7*a - 2)/9
Suppose 2*h**2/5 + 82*h/5 + 696/5 = 0. What is h?
-29, -12
Factor z**5/4 + 7*z**4/2 + 18*z**3 + 44*z**2 + 52*z + 24.
(z + 2)**4*(z + 6)/4
Determine j so that -3*j**2/2 - 90*j - 1200 = 0.
-40, -20
Solve -4*o**4 + 584*o**3 + 588*o**2 = 0.
-1, 0, 147
Solve -2*a**2/7 - 4*a + 30/7 = 0 for a.
-15, 1
Solve -175*s**2 - 120*s 