e q**4/6 - 7*q**3 + 147*q**2/2 = 0.
0, 21
Find k such that k**2 + 138*k + 4761 = 0.
-69
Factor 441*n**2/5 + 42*n/5 + 1/5.
(21*n + 1)**2/5
Determine o, given that -3*o**3/2 + 24*o**2 - 123*o/2 + 39 = 0.
1, 2, 13
Let -12*d**5 + 307*d**4 - 1898*d**3 - 845*d**2 = 0. What is d?
-5/12, 0, 13
Determine q, given that q**2 + 7*q - 30 = 0.
-10, 3
Factor -2*m**5/11 - 230*m**4/11 - 9102*m**3/11 - 134162*m**2/11 - 405224*m/11.
-2*m*(m + 4)*(m + 37)**3/11
Let 4*u**3/5 - 1132*u**2/5 + 15904*u + 80656/5 = 0. What is u?
-1, 142
Find z, given that 9*z**3 + 22*z**2/3 - 5*z/3 = 0.
-1, 0, 5/27
Find r, given that 5*r**4 - 214*r**3 + 2557*r**2 - 5480*r - 1200 = 0.
-1/5, 3, 20
Factor -2*n**5/3 + 20*n**4/3 - 6*n**3.
-2*n**3*(n - 9)*(n - 1)/3
Factor -5*k**3 + 20*k**2 + 55*k + 30.
-5*(k - 6)*(k + 1)**2
Factor -q**2 + 400*q - 40000.
-(q - 200)**2
Determine h, given that -2*h**5/9 + 38*h**4/9 + 182*h**3/9 + 58*h**2/9 - 92*h/3 = 0.
-3, -2, 0, 1, 23
Factor -2*r**4/7 - 54*r**3/7 + 174*r**2/7 - 178*r/7 + 60/7.
-2*(r - 1)**3*(r + 30)/7
Determine p so that -100*p**2 - 72640*p - 13191424 = 0.
-1816/5
Let 2*a**3/3 - 212*a**2/9 + 200*a + 144 = 0. What is a?
-2/3, 18
Factor -c**2/3 + 323*c + 970/3.
-(c - 970)*(c + 1)/3
Suppose -2*w**2/13 + 216*w/13 - 5832/13 = 0. Calculate w.
54
Factor 2*h**5 - 26*h**4 + 70*h**3 + 98*h**2.
2*h**2*(h - 7)**2*(h + 1)
Factor 2*i**4/3 + 8216*i**3/3 + 4218916*i**2 + 8665653464*i/3 + 2224906526882/3.
2*(i + 1027)**4/3
Determine o so that o**4 - 4*o**3 - 4*o**2 + 16*o = 0.
-2, 0, 2, 4
Solve 8*s**4 + 18*s**3 + 4*s**2 = 0.
-2, -1/4, 0
Factor -52*j**2 - 288*j + 144.
-4*(j + 6)*(13*j - 6)
Factor 3*v**2 + 192*v.
3*v*(v + 64)
Factor 7*l**3 + 40*l**2 - 12*l.
l*(l + 6)*(7*l - 2)
Suppose -2*o**2/3 - 46*o/3 - 28 = 0. Calculate o.
-21, -2
Determine a so that 3*a**5 - 27*a**4 + 66*a**3 - 96*a = 0.
-1, 0, 2, 4
Find j, given that 2*j**2 - 210*j = 0.
0, 105
Suppose -2*c**4/3 - 14*c**3/3 - 8*c**2 + 8*c/3 + 32/3 = 0. What is c?
-4, -2, 1
Factor 2*l**2 + 74*l - 240.
2*(l - 3)*(l + 40)
Find k, given that -2*k**3 - 2216*k**2 - 613832*k = 0.
-554, 0
Let -75*i**5 - 519*i**4 - 183*i**3 + 2343*i**2 - 1686*i + 120 = 0. Calculate i.
-5, -4, 2/25, 1
Factor d**3/3 + 956*d**2/3 + 228484*d/3.
d*(d + 478)**2/3
Factor 2*o**2 - 156*o - 2790.
2*(o - 93)*(o + 15)
Factor -2*c**3 + 90*c**2 - 88*c.
-2*c*(c - 44)*(c - 1)
Factor 2*f**2/7 + 16*f/7.
2*f*(f + 8)/7
Suppose -w**2 + 5*w + 176 = 0. What is w?
-11, 16
Suppose 2*z**2 - 4126*z - 8260 = 0. What is z?
-2, 2065
Determine o so that 3*o**5/4 + 81*o**4/2 + 648*o**3 + 2568*o**2 - 1152*o - 13824 = 0.
-24, -4, 2
Suppose d**2 + 3*d - 18 = 0. Calculate d.
-6, 3
Suppose 14*t**5/9 - 2*t**4 - 38*t**3/9 + 26*t**2/9 + 8*t/3 - 8/9 = 0. Calculate t.
-1, 2/7, 1, 2
Determine p, given that p**5 + 342*p**4 + 681*p**3 + 340*p**2 = 0.
-340, -1, 0
Solve 162*x**4 - 49032*x**3 + 5565132*x**2 - 280729992*x + 5310475682 = 0.
227/3
Factor -b**5/6 - 5*b**4/6 - b**3/2 + 3*b**2/2.
-b**2*(b - 1)*(b + 3)**2/6
Determine o, given that 10*o**5/17 + 166*o**4/17 - 518*o**3/17 - 70*o**2 - 212*o/17 + 304/17 = 0.
-19, -1, 2/5, 4
Factor -3*i**2 + 66*i - 363.
-3*(i - 11)**2
Let 3*r**5 + 39*r**4 + 36*r**3 = 0. Calculate r.
-12, -1, 0
Let 2*s**3/11 + 6*s**2 - 288*s/11 + 296/11 = 0. Calculate s.
-37, 2
Factor 3*z**3 - 4*z**2 - 5*z + 2.
(z - 2)*(z + 1)*(3*z - 1)
Determine m, given that 6*m**3 - 2*m**2 - 54*m + 18 = 0.
-3, 1/3, 3
Factor -j**2/3 - 2618*j/3 - 1713481/3.
-(j + 1309)**2/3
Find y such that 3*y**5/2 - 198*y**4 - 204*y**3 + 597*y**2 + 405*y/2 - 399 = 0.
-2, -1, 1, 133
Factor -a**3/2 - 31*a**2/6 - 5*a/3.
-a*(a + 10)*(3*a + 1)/6
Suppose -y**3 - 47*y**2 + 4*y + 188 = 0. What is y?
-47, -2, 2
Factor -3*q**5 - 1383*q**4 - 213435*q**3 - 11166093*q**2 - 21489462*q.
-3*q*(q + 2)*(q + 153)**3
Find j, given that -2*j**2 + 10240*j - 13107200 = 0.
2560
Solve 2*z**5/7 - 10*z**4/7 + 20*z**3/7 - 20*z**2/7 + 10*z/7 - 2/7 = 0 for z.
1
Factor -k**4/2 + 13*k**3 - 102*k**2 + 187*k + 605/2.
-(k - 11)**2*(k - 5)*(k + 1)/2
What is s in 4*s**2/5 - 20*s - 104/5 = 0?
-1, 26
Solve 5*f**3/3 + 185*f**2/3 + 2240*f/3 + 2940 = 0.
-14, -9
Factor n**3/4 - 41*n**2/2 + 78*n.
n*(n - 78)*(n - 4)/4
Factor -b**3/4 + 37*b**2/4 - 157*b/2 - 88.
-(b - 22)*(b - 16)*(b + 1)/4
What is s in -3*s**4/8 + 3*s**3 - 21*s**2/8 = 0?
0, 1, 7
Suppose 4*b**3 + 144*b**2 + 1620*b + 5400 = 0. Calculate b.
-15, -6
Determine a, given that 3*a**5/2 - 27*a**4/2 + 87*a**3/2 - 129*a**2/2 + 45*a - 12 = 0.
1, 2, 4
Factor 4*x**2 + 88*x - 92.
4*(x - 1)*(x + 23)
Factor -p**2/6 - 37*p - 4107/2.
-(p + 111)**2/6
Find g such that -2*g**2/5 + 158*g/5 + 32 = 0.
-1, 80
Factor 3*d**4/8 - 15*d**3/4 + 3*d**2/8 + 63*d/2 - 81/2.
3*(d - 9)*(d - 2)**2*(d + 3)/8
Factor c**2 + 4702*c + 5527201.
(c + 2351)**2
Factor 5*m**2 + 80*m + 75.
5*(m + 1)*(m + 15)
Factor -y**3/3 - 43*y**2 - 1365*y + 4225/3.
-(y - 1)*(y + 65)**2/3
Find w such that 3*w**2 - 3*w - 18 = 0.
-2, 3
Factor 2*i**3/3 - 2*i + 4/3.
2*(i - 1)**2*(i + 2)/3
Suppose -5*g**4 + 3920*g**3 + 3930*g**2 - 3920*g - 3925 = 0. Calculate g.
-1, 1, 785
Suppose -4*f**2/3 - 4760*f/3 + 1588 = 0. Calculate f.
-1191, 1
Factor 2*a**2/5 + 2072*a/5.
2*a*(a + 1036)/5
Find i, given that 4*i**5/3 - 36*i**4 - 116*i**3/3 + 36*i**2 + 112*i/3 = 0.
-1, 0, 1, 28
Find i such that -93*i**2/8 - 30*i - 27/2 = 0.
-2, -18/31
Factor -3*r**2 - 33*r + 78.
-3*(r - 2)*(r + 13)
Factor 10*h**4 - 7*h**3 - 3*h**2.
h**2*(h - 1)*(10*h + 3)
Let -3*d**4 + 166*d**3 - 217*d**2 + 54*d = 0. What is d?
0, 1/3, 1, 54
Suppose -625*x**5/4 + 9875*x**4 + 75800*x**3 - 100340*x**2 + 41380*x - 5600 = 0. What is x?
-8, 2/5, 70
Factor -a**3 - 362*a**2 - 720*a.
-a*(a + 2)*(a + 360)
Let 3*u**3/4 - 185*u**2/4 - 31*u/2 = 0. Calculate u.
-1/3, 0, 62
Factor -2*t**3 + 26*t**2 + 128*t + 136.
-2*(t - 17)*(t + 2)**2
Solve 2*b**2 + 344*b = 0 for b.
-172, 0
Find w, given that w**4/5 - 3*w**3/5 - 27*w**2/5 + 27*w/5 + 162/5 = 0.
-3, 3, 6
Factor -18*t**2 - 302*t + 68.
-2*(t + 17)*(9*t - 2)
Find x, given that 4*x**5/5 + 52*x**4/5 + 192*x**3/5 + 272*x**2/5 + 128*x/5 = 0.
-8, -2, -1, 0
Solve 2*u**3 + 2624*u**2 + 855400*u - 3463712 = 0 for u.
-658, 4
Factor 5*m**2 + 9170*m + 4204445.
5*(m + 917)**2
What is l in -5*l**3 + 320*l**2 + 1340*l + 1360 = 0?
-2, 68
Find b, given that -5*b**2 + 75*b + 1430 = 0.
-11, 26
What is a in 24*a**3 + 93*a**2 + 84*a - 12 = 0?
-2, 1/8
Determine y so that -y**5 + 10*y**4 - 16*y**3 - 90*y**2 + 225*y = 0.
-3, 0, 3, 5
Determine t, given that 2*t**5/7 - 32*t**4/7 + 60*t**3/7 + 56*t**2 + 466*t/7 + 24 = 0.
-1, 7, 12
Factor l**2 + 2458*l + 1510441.
(l + 1229)**2
Determine o, given that -7*o**5/4 + 43*o**4/2 - 45*o**3/4 - 347*o**2/2 + 281*o - 66 = 0.
-3, 2/7, 2, 11
Factor 3*g**2 + 3489*g + 6966.
3*(g + 2)*(g + 1161)
Factor 3*c**2/5 + 99*c + 492/5.
3*(c + 1)*(c + 164)/5
Let -2*w**4/11 + 10*w**3/11 - 14*w**2/11 + 6*w/11 = 0. Calculate w.
0, 1, 3
Determine u so that 30*u**5 + 93*u**4 + 69*u**3 + 6*u**2 = 0.
-2, -1, -1/10, 0
Factor i**4/4 + i**3 + i**2.
i**2*(i + 2)**2/4
Factor 4*p**4 + 12*p**3 - 312*p**2 - 320*p.
4*p*(p - 8)*(p + 1)*(p + 10)
Let 192*c**5 - 1200*c**4 - 1941*c**3 + 13491*c**2 + 10665*c + 2025 = 0. Calculate c.
-3, -3/8, 5
Factor -j**5 - 6*j**4 + 7*j**3.
-j**3*(j - 1)*(j + 7)
Let 5*j**2/2 - 127*j/2 + 25 = 0. Calculate j.
2/5, 25
Factor p**3/3 - 8*p**2 + 125*p/3 - 34.
(p - 17)*(p - 6)*(p - 1)/3
Factor -3*q**3/2 + 48*q**2.
-3*q**2*(q - 32)/2
Determine b, given that -b**5/11 - 27*b**4/11 - 219*b**3/11 - 505*b**2/11 - 456*b/11 - 144/11 = 0.
-12, -1
Factor f**5 - 4030*f**4 + 5419000*f**3 - 2438521360*f**2 + 9689186320*f - 9667574752.
(f - 1342)**3*(f - 2)**2
Factor b**3/6 + b**2/6 - 11*b/3 - 20/3.
(b - 5)*(b + 2)*(b + 4)/6
What is s in s**3/2 + 5*s**2/2 - 2*s - 10 = 0?
-5, -2, 2
Factor 2*c**4 - 38*c**3 - 82*c**2 - 42*c.
2*c*(c - 21)*(c + 1)**2
Factor -2*v**4/5 + 16*v**3 + 168*v**2/5.
-2*v**2*(v - 42)*(v + 2)/5
Suppose 45*d**4 + 32390*d**3 - 72135*d**2 + 46920*d - 7220 = 0. Calculate d.
-722, 2/9, 1
Let -8*p**5/5 - 14*p**4 + 138*p**3 + 280*p**2 - 392*p/5 = 0. Calculate p.
-14, -2, 0, 1/4, 7
Suppose 50*n**5/9 + 14210*n**4/9 - 3814*n**3/3 - 11930*n**2/9 + 11392*n/9 - 760/3 = 0. Calculate n.
-285, -1, 2/5, 1
Determine a so that 4*a**2/5 + 48*a/5 + 28 = 0.
-7, -5
Factor -5*z**3/4 + 25*z**2/4 - 35*z/4 + 15/4.
-5*(z - 3)*(z - 1)**2/4
Solve 2*k**3/15 + 8*k**2/5