that 2*y**2/5 - 6*y/5 + 4/5 = 0.
1, 2
Determine z so that -21*z**3 - 3597*z**2 + 2586*z + 1032 = 0.
-172, -2/7, 1
Factor f**4/2 - 6*f**3 + 37*f**2/2 + 15*f - 100.
(f - 5)**2*(f - 4)*(f + 2)/2
Determine n, given that 4*n**3 - 352*n**2 + 7744*n = 0.
0, 44
Solve x**4/3 + 8*x**3/3 - 37*x**2/3 - 44*x/3 = 0 for x.
-11, -1, 0, 4
Determine z, given that 14*z**5 - 4*z**4 - 28*z**3 + 8*z**2 + 14*z - 4 = 0.
-1, 2/7, 1
Factor -4*s**2 + 53736*s - 180472356.
-4*(s - 6717)**2
Find p such that 324*p**4/5 + 1584*p**3/5 + 2512*p**2/5 + 1408*p/5 + 256/5 = 0.
-2, -4/9
Let -3*d**5 + 57*d**4 - 201*d**3 - 585*d**2 - 324*d = 0. Calculate d.
-1, 0, 9, 12
Determine o so that 28*o**5 - 1968*o**4 + 34860*o**3 - 9800*o**2 = 0.
0, 2/7, 35
Factor -k**2 + 25*k + 54.
-(k - 27)*(k + 2)
Factor 3*p**5 - 2*p**4 - 3*p**3 + 2*p**2.
p**2*(p - 1)*(p + 1)*(3*p - 2)
Factor g**4 - 14*g**3 + 45*g**2 - 52*g + 20.
(g - 10)*(g - 2)*(g - 1)**2
Factor -4*h**2 + 588*h - 584.
-4*(h - 146)*(h - 1)
Factor -k**5 + 5*k**4 - 7*k**3 + 3*k**2.
-k**2*(k - 3)*(k - 1)**2
Factor 2*d**2 + 340*d + 14450.
2*(d + 85)**2
Determine h so that 2*h**2/3 + 44*h/3 + 80/3 = 0.
-20, -2
Let -3*y**2/2 - 4911*y = 0. What is y?
-3274, 0
Factor -2*y**2/21 - 1784*y/7 - 1193496/7.
-2*(y + 1338)**2/21
Suppose -2250*m**5 + 2775*m**4 + 2540*m**3 - 1681*m**2 - 7828*m/5 - 1444/5 = 0. What is m?
-1/2, -2/5, 19/15
Determine g, given that 3*g**5/8 + 45*g**4/8 + 81*g**3/8 + 39*g**2/8 = 0.
-13, -1, 0
Factor y**4 + 15*y**3 + 18*y**2 - 104*y.
y*(y - 2)*(y + 4)*(y + 13)
Factor -4*p**4 - 328*p**3 + 12*p**2 + 976*p - 656.
-4*(p - 1)**2*(p + 2)*(p + 82)
Determine k, given that -2*k**4/3 + 92*k**3/3 - 480*k**2 + 2700*k - 2250 = 0.
1, 15
Determine x, given that -2*x**4 + 7*x**3 + 39*x**2 - 36*x - 108 = 0.
-3, -3/2, 2, 6
Factor 5*j**2/2 - 330*j - 665/2.
5*(j - 133)*(j + 1)/2
Find d such that 4*d**4/7 - 40*d**3/7 + 96*d**2/7 - 88*d/7 + 4 = 0.
1, 7
Factor 35*t**2 + 13780*t - 3940.
5*(t + 394)*(7*t - 2)
Factor 2*g**3 + 2*g**2 - 2*g - 2.
2*(g - 1)*(g + 1)**2
Factor -a**2/5 + 72*a/5 + 73/5.
-(a - 73)*(a + 1)/5
Suppose 5*u**3 + 10*u**2 - 40*u = 0. What is u?
-4, 0, 2
Find k, given that 21*k**4 - 57*k**3 - 102*k**2 - 24*k = 0.
-1, -2/7, 0, 4
Determine d, given that -4*d**3 + 4*d**2 + 40*d + 32 = 0.
-2, -1, 4
Find d such that -5*d**3 - 240*d**2 - 895*d - 660 = 0.
-44, -3, -1
Factor 8192*r**2/3 - 6400*r/3 + 1250/3.
2*(64*r - 25)**2/3
Factor -3*x**4/8 - 27*x**3/2 - 195*x**2/2.
-3*x**2*(x + 10)*(x + 26)/8
Factor -2*d**3/9 - 26*d**2/9 + 812*d/9 - 784/9.
-2*(d - 14)*(d - 1)*(d + 28)/9
Factor 3*o**5 - o**4 - 5*o**3 + o**2 + 2*o.
o*(o - 1)**2*(o + 1)*(3*o + 2)
Determine c, given that -63*c**5 + 57*c**4 + 132*c**3 + 12*c**2 = 0.
-1, -2/21, 0, 2
Let -2*d**2 - 4*d + 126 = 0. Calculate d.
-9, 7
Find v, given that -12*v**4 + 51*v**3 - 12*v**2 = 0.
0, 1/4, 4
Suppose 3*s**2 + 276*s + 6348 = 0. Calculate s.
-46
Find z such that -z**3/12 - 305*z**2/6 + 611*z/12 = 0.
-611, 0, 1
Factor -5*b**4 - 155*b**3 - 1400*b**2 - 2940*b.
-5*b*(b + 3)*(b + 14)**2
Determine m, given that -3*m**5 + 27*m**4 - 39*m**3 - 135*m**2 + 150*m = 0.
-2, 0, 1, 5
Factor y**3/5 - 2*y**2 - 20*y + 200.
(y - 10)**2*(y + 10)/5
What is a in -a**5/4 - 3*a**4/2 - 9*a**3/4 - a**2 = 0?
-4, -1, 0
Suppose -5*f**4 - 30*f**3 - 25*f**2 = 0. Calculate f.
-5, -1, 0
What is m in -m**5 + m**4 + 5*m**3 + 3*m**2 = 0?
-1, 0, 3
Let -21*v**2 - 1539*v - 438 = 0. What is v?
-73, -2/7
Factor -4*s**2 + 104*s + 224.
-4*(s - 28)*(s + 2)
Determine x, given that -2*x**3/7 + 232*x**2/7 + 136*x + 960/7 = 0.
-2, 120
Factor 12*j**2 + 200*j + 128.
4*(j + 16)*(3*j + 2)
Suppose d**2/2 - 167*d/2 + 83 = 0. What is d?
1, 166
Factor -h**5 - 3*h**4 + 5*h**3 + 3*h**2 - 4*h.
-h*(h - 1)**2*(h + 1)*(h + 4)
Factor -2*y**4 + 580*y**3 + 5328*y**2 + 16092*y + 16146.
-2*(y - 299)*(y + 3)**3
Determine a, given that 45*a**5 + 55*a**4 - 35*a**3 - 55*a**2 - 10*a = 0.
-1, -2/9, 0, 1
Let 2*z**2 - 678*z - 4844 = 0. Calculate z.
-7, 346
Factor -4*a**2 - 80*a - 76.
-4*(a + 1)*(a + 19)
Factor 5*j**3 - 50*j**2 - 65*j + 110.
5*(j - 11)*(j - 1)*(j + 2)
Find x such that -4*x**4 - 4*x**3 + 184*x**2 - 320*x = 0.
-8, 0, 2, 5
Factor g**4/3 + g**3/3 - g**2 - g/3 + 2/3.
(g - 1)**2*(g + 1)*(g + 2)/3
Let -g**2/7 - 682*g - 813967 = 0. Calculate g.
-2387
Factor -4*c**4/3 + 180*c**3 - 5799*c**2 - 18630*c - 14283.
-(c - 69)**2*(2*c + 3)**2/3
Factor -d**5/3 + d**3 + 2*d**2/3.
-d**2*(d - 2)*(d + 1)**2/3
Factor 2*a**2/3 - 14*a + 36.
2*(a - 18)*(a - 3)/3
Solve -6*g**5 - 219*g**4 - 315*g**3 + 3*g**2 + 105*g = 0 for g.
-35, -1, 0, 1/2
Factor -4*k**4 + 280*k**3 - 5428*k**2 + 18480*k - 17424.
-4*(k - 33)**2*(k - 2)**2
Find k such that 3*k**5/4 - 9*k**4/2 + 81*k**2/2 - 243*k/4 = 0.
-3, 0, 3
Factor -g**2/5 + 4*g/5 - 4/5.
-(g - 2)**2/5
Find w, given that -6*w**3/5 + 258*w**2/5 - 2898*w/5 + 2646/5 = 0.
1, 21
Find t such that -t**5 - 19*t**4 + 702*t**3 - 3262*t**2 - 8701*t - 4719 = 0.
-39, -1, 11
What is n in -2*n**4/9 + 34*n**3/9 - 142*n**2/9 - 34*n/9 + 16 = 0?
-1, 1, 8, 9
Factor p**3/4 - 93*p**2/4 - 97*p.
p*(p - 97)*(p + 4)/4
Solve -3*v**2/4 - 2023*v/2 + 1349/4 = 0 for v.
-1349, 1/3
Factor 4*r**4/7 - 8*r**3 + 160*r**2/7.
4*r**2*(r - 10)*(r - 4)/7
Factor 3*a**2/2 + 13*a - 20.
(a + 10)*(3*a - 4)/2
Factor d**3/4 - d**2 - 5*d + 12.
(d - 6)*(d - 2)*(d + 4)/4
Let -50*w**5 + 10*w**4 + 1362*w**3 + 2430*w**2 - 864*w - 648 = 0. Calculate w.
-3, -2/5, 3/5, 6
Solve -4*s**2 - 26576*s - 44142736 = 0 for s.
-3322
Find v, given that 2*v**5/9 + 2*v**4/3 - 14*v**3/9 - 14*v**2/9 + 4*v - 16/9 = 0.
-4, -2, 1
Suppose p**4/3 - p**3 - 8*p**2 - 28*p/3 = 0. What is p?
-2, 0, 7
Find y such that 3*y**5/7 - 45*y**4/7 + 255*y**3/7 - 675*y**2/7 + 822*y/7 - 360/7 = 0.
1, 2, 3, 4, 5
Solve -3*k**3/2 + 54*k**2 - 303*k/2 + 99 = 0 for k.
1, 2, 33
Suppose 3*s**2/5 + 96*s/5 + 336/5 = 0. Calculate s.
-28, -4
Factor -x**2/5 - x + 6/5.
-(x - 1)*(x + 6)/5
Factor -5*s**3 + 230*s**2 + 15555*s - 728280.
-5*(s - 51)**2*(s + 56)
Factor -d**5/3 + 10*d**4/3 + 8*d**3 + 2*d**2/3 - 23*d/3 - 4.
-(d - 12)*(d - 1)*(d + 1)**3/3
Determine i so that -324*i**5/5 + 144*i**4/5 + 956*i**3/5 + 216*i**2/5 - 48*i + 32/5 = 0.
-1, 2/9, 2
Determine a so that 18*a**5 + 56*a**4 + 40*a**3 - 36*a**2 - 58*a - 20 = 0.
-10/9, -1, 1
Determine z, given that -2*z**3/3 + 164*z**2/3 - 3520*z/3 + 6400/3 = 0.
2, 40
Factor -2*a**2 - 5048*a - 3185288.
-2*(a + 1262)**2
Solve -2*d**3 + 56*d**2 - 352*d + 640 = 0 for d.
4, 20
Factor -3*w**2 + 1575*w + 3162.
-3*(w - 527)*(w + 2)
Suppose 2*b**3/9 - 4*b**2/9 - 10*b/3 = 0. Calculate b.
-3, 0, 5
Find a, given that -a**2/2 + 810*a = 0.
0, 1620
Determine g so that g**2/3 + 3*g - 12 = 0.
-12, 3
Factor -5*d**3 + 95*d**2.
-5*d**2*(d - 19)
Let z**5 + 119*z**4/4 - 23*z**3/2 - 119*z**2 + 30*z = 0. What is z?
-30, -2, 0, 1/4, 2
Suppose -3*q**3 - 24*q**2 - 51*q - 30 = 0. Calculate q.
-5, -2, -1
Determine v so that -5*v**4/6 + 445*v**3/6 + 615*v**2/2 + 465*v/2 = 0.
-3, -1, 0, 93
Determine z, given that -3*z**4/5 + 21*z**3/5 + 24*z**2/5 = 0.
-1, 0, 8
Find r, given that r**5/3 + r**4 - 5*r**3/3 - 9*r**2 - 32*r/3 - 4 = 0.
-2, -1, 3
Find q, given that -35*q**4 + 290*q**3 + 585*q**2 + 160*q - 100 = 0.
-1, 2/7, 10
Determine u, given that -2*u**2/3 + 170*u/3 - 56 = 0.
1, 84
What is k in 2*k**3/3 + 22*k**2/3 - 1586*k/3 + 12506/3 = 0?
-37, 13
Factor -5*v**2 - 960*v - 46080.
-5*(v + 96)**2
Factor -g**3/4 - 141*g**2/4.
-g**2*(g + 141)/4
Factor 2*i**2/5 + 10168*i/5.
2*i*(i + 5084)/5
Factor 675*v**3 - 12735*v**2 - 1707*v - 57.
3*(v - 19)*(15*v + 1)**2
Let x**5/4 - x**4/2 - 3*x**3/4 + x**2 + x = 0. Calculate x.
-1, 0, 2
Let -4*z**4 - 44*z**3/3 - 32*z**2/3 + 16*z/3 = 0. Calculate z.
-2, 0, 1/3
Factor -5*h**5/3 - 155*h**4 - 5280*h**3 - 74880*h**2 - 276480*h + 1658880.
-5*(h - 3)*(h + 24)**4/3
Let k**5 - 24*k**4 - 256*k**3 + 1262*k**2 - 1665*k + 682 = 0. What is k?
-11, 1, 2, 31
Factor -4*a**2 + 936*a - 54756.
-4*(a - 117)**2
Determine h, given that -2*h**2/25 + 232*h/25 - 6728/25 = 0.
58
Factor 2*a**2/3 + 74*a/3 - 52.
2*(a - 2)*(a + 39)/3
Determine s so that 2*s**5/9 - 40*s**4/9 - 16*s**3/3 + 116*s**2/9 + 206*s/9 + 28/3 = 0.
-1, 2, 21
Solve 2*m**4 + 2*m**3 - 2*m**2 - 2*m = 0 for m.
-1, 0, 1
Let -3*d**5/4 + 23*d**4/4 + 5*d**3/2 - 4*d**2 = 0. What is d?
-1, 0, 2/3, 8
Determine a, given that 2*a**4 + 342*a**3 - 690*a**2 + 346*a = 0.
-173, 0, 1
Find j