4/3 - 1679*y**3/3 - 1340*y**2/3 = 0.
-335, -4, -1, 0
Solve 2*g**3/17 - 446*g**2/17 + 1760*g/17 - 1752/17 = 0.
2, 219
Factor 2*w**4/9 - 10*w**3/9 - 2*w**2/9 + 10*w/9.
2*w*(w - 5)*(w - 1)*(w + 1)/9
Solve -m**3/9 - 91*m**2/9 - 2024*m/9 + 2116/9 = 0.
-46, 1
Factor -v**2 + 45*v + 616.
-(v - 56)*(v + 11)
Find n, given that -5*n**3 + 20*n**2 + 5*n - 20 = 0.
-1, 1, 4
Factor 4*k**3 - 108*k**2 - 756*k - 1188.
4*(k - 33)*(k + 3)**2
Determine d, given that 3*d**3/4 - 11*d**2/2 + 7*d/4 = 0.
0, 1/3, 7
Factor -2*y**2/21 + 8*y/7 - 24/7.
-2*(y - 6)**2/21
Factor -8*m**4 - 12*m**3 + 4*m.
-4*m*(m + 1)**2*(2*m - 1)
Factor -3*u**5 - 210*u**4 - 2991*u**3 + 23940*u**2 - 38988*u.
-3*u*(u - 3)**2*(u + 38)**2
What is f in -4*f**5 - 104*f**4 - 964*f**3 - 3680*f**2 - 4864*f - 2048 = 0?
-8, -1
Find k, given that -k**5 - 8*k**4 + 43*k**3 - 58*k**2 + 24*k = 0.
-12, 0, 1, 2
Factor -4*y**4 + 48*y**3 + 4*y**2 - 48*y.
-4*y*(y - 12)*(y - 1)*(y + 1)
Suppose 2*a**2/17 + 6*a/17 + 4/17 = 0. Calculate a.
-2, -1
Determine p, given that 16*p**2 - 6348*p - 1588 = 0.
-1/4, 397
Factor -r**2 + 6368*r - 10137856.
-(r - 3184)**2
Factor 2*m**4/11 - 8*m**2/11.
2*m**2*(m - 2)*(m + 2)/11
Solve 12*d**5 + 1160*d**4 + 27240*d**3 - 38800*d**2 - 8820*d + 19208 = 0 for d.
-49, -2/3, 1
Factor -5*x**4 + 160*x**3 - 915*x**2 - 5940*x - 4860.
-5*(x - 18)**2*(x + 1)*(x + 3)
Suppose -2*y**2 - 864*y + 1736 = 0. What is y?
-434, 2
Factor 432*c**2 + 72*c + 3.
3*(12*c + 1)**2
Factor -17*d**5 - 67*d**4 - 98*d**3 - 62*d**2 - 13*d + 1.
-(d + 1)**4*(17*d - 1)
Find g such that 4*g**4 - 104*g**3 + 192*g**2 = 0.
0, 2, 24
Let 2*p**3/9 + 10*p**2/3 - 16*p + 152/9 = 0. Calculate p.
-19, 2
Factor u**2/2 - 3*u + 5/2.
(u - 5)*(u - 1)/2
Factor 5*v**4 + 1015*v**3 + 2010*v**2.
5*v**2*(v + 2)*(v + 201)
Solve 3*k**3/5 - 57*k**2/5 + 54*k = 0 for k.
0, 9, 10
Solve -f**5/3 + 10*f**3/3 + 20*f**2/3 + 5*f + 4/3 = 0 for f.
-1, 4
Factor -81*i**4 + 1179*i**3 - 2380*i**2 - 1236*i - 144.
-(i - 12)*(i - 3)*(9*i + 2)**2
Suppose -r**4 - 4*r**3 - r**2 + 6*r = 0. Calculate r.
-3, -2, 0, 1
Suppose 3*u**3 + 27*u**2 - 63*u + 33 = 0. Calculate u.
-11, 1
Let l**2/6 + 7880*l/3 + 31047200/3 = 0. What is l?
-7880
Solve -o**3/3 + 121*o**2/3 - 40*o = 0.
0, 1, 120
Factor 2*k**4 - 196*k**3 + 5354*k**2 - 27048*k + 38088.
2*(k - 46)**2*(k - 3)**2
Solve 255*o**4/2 - 760*o**3/3 + 745*o**2/6 + 5*o/3 = 0.
-2/153, 0, 1
Factor -2*b**2 - 152*b - 2888.
-2*(b + 38)**2
Let a**2/4 + 1033*a/4 - 517/2 = 0. Calculate a.
-1034, 1
Factor d**4/3 + 26*d**3/3 + 24*d**2 + 70*d/3 + 23/3.
(d + 1)**3*(d + 23)/3
Factor -2*n**4 + 19*n**3/2 - 11*n**2/2 - 2*n.
-n*(n - 4)*(n - 1)*(4*n + 1)/2
Solve -2*y**2/5 - 1248*y/5 + 250 = 0.
-625, 1
Determine u so that -u**3/3 - 2*u**2/3 + u/3 + 2/3 = 0.
-2, -1, 1
Let s**5 - 2*s**4 - 23*s**3 + 64*s**2 + 4*s - 80 = 0. What is s?
-5, -1, 2, 4
Factor -2*p**2/3 - 28*p/3.
-2*p*(p + 14)/3
Factor b**3 + 11*b**2 - 40*b + 28.
(b - 2)*(b - 1)*(b + 14)
What is n in -5*n**5 + 35*n**4 - 35*n**3 - 115*n**2 + 40*n + 80 = 0?
-1, 1, 4
Factor o**2/5 - 451*o + 2254/5.
(o - 2254)*(o - 1)/5
Let 3*l**3 - 72*l**2 - 156*l = 0. What is l?
-2, 0, 26
Factor 5*d**5 + 790*d**4 + 42125*d**3 + 784940*d**2 + 1446640*d + 703040.
5*(d + 1)**2*(d + 52)**3
Solve 4*r**5 + 25*r**4/3 - 34*r**3/3 - 17*r**2 + 44*r/3 + 4/3 = 0.
-2, -1/12, 1
What is a in a**2 - 37*a + 232 = 0?
8, 29
Factor -s**2 - 431*s + 1740.
-(s - 4)*(s + 435)
Let -4*x**3/5 + 8*x**2 + 4*x/5 - 8 = 0. What is x?
-1, 1, 10
Factor -2*f**5/25 + 52*f**4/25 - 432*f**3/25 + 972*f**2/25 + 1458*f/25.
-2*f*(f - 9)**3*(f + 1)/25
Determine t so that -5*t**2 - 5*t + 150 = 0.
-6, 5
What is y in 10*y**4/19 + 64*y**3/19 + 6*y**2 + 36*y/19 = 0?
-3, -2/5, 0
Determine f so that -4*f**2 - 9872*f - 6091024 = 0.
-1234
Find s, given that -20*s**5 - 25*s**4 + 55*s**3 + 35*s**2 - 35*s - 10 = 0.
-2, -1, -1/4, 1
Factor j**5/11 - 19*j**4/11 + 72*j**3/11 + 448*j**2/11 - 2560*j/11.
j*(j - 8)**3*(j + 5)/11
Factor r**2/5 + 3298*r/5 + 2719201/5.
(r + 1649)**2/5
Factor v**2 - 207*v + 410.
(v - 205)*(v - 2)
Factor v**5/4 - 9*v**4/2 + 117*v**3/4 - 81*v**2 + 81*v.
v*(v - 6)**2*(v - 3)**2/4
Determine x so that -20*x**5 + 215*x**4 + 655*x**3/2 - 305*x**2 - 615*x/2 + 90 = 0.
-3/2, -1, 1/4, 1, 12
Let 5*b**2/6 - 475*b/6 + 235/3 = 0. What is b?
1, 94
Solve q**3/5 - 4*q**2/5 - 7*q/5 + 2 = 0.
-2, 1, 5
Factor 2*l**2 + 171*l - 1598.
(l + 94)*(2*l - 17)
Find i, given that -4*i**4/3 - 28*i**3 + 60*i**2 - 92*i/3 = 0.
-23, 0, 1
Factor m**5/3 + 5*m**4/3 + 2*m**3 - 2*m**2/3 - 7*m/3 - 1.
(m - 1)*(m + 1)**3*(m + 3)/3
Factor 4*w**4/3 + 20*w**3/3 - 4*w**2/3 - 20*w/3.
4*w*(w - 1)*(w + 1)*(w + 5)/3
Suppose 4*a**5 + 340*a**4/3 + 1016*a**3/3 + 368*a**2/3 - 800*a/3 = 0. What is a?
-25, -2, 0, 2/3
Find o such that -3*o**5 + 63*o**4 - 204*o**3 - 48*o**2 + 864*o - 816 = 0.
-2, 2, 17
Suppose -16*s**3/3 - 36*s**2 - 236*s/3 - 56 = 0. Calculate s.
-3, -2, -7/4
Find l, given that 100*l**4/9 - 440*l**3/9 - 52*l**2/3 + 1408*l/9 + 1024/9 = 0.
-1, 16/5
Factor 28*d**4 + 64*d**3 - 96*d**2 - 256*d - 64.
4*(d - 2)*(d + 2)**2*(7*d + 2)
Factor f**3/4 + 37*f**2 + 5325*f/4 - 5625/2.
(f - 2)*(f + 75)**2/4
Determine t, given that -130*t**3 - 345*t**2 - 180*t - 20 = 0.
-2, -1/2, -2/13
Solve 3*s**4/7 + 27*s**3/7 + 45*s**2/7 - 75*s/7 = 0.
-5, 0, 1
Find u such that -u**5/5 + 18*u**4/5 - 102*u**3/5 + 244*u**2/5 - 249*u/5 + 18 = 0.
1, 3, 10
Factor 4*d**2 + 80*d - 384.
4*(d - 4)*(d + 24)
Factor 2*y**2/7 + 32*y/7.
2*y*(y + 16)/7
Factor -5*z**3 - 675*z**2 - 6375*z - 15625.
-5*(z + 5)**2*(z + 125)
Determine c, given that 2*c**3/9 - 38*c/9 - 20/3 = 0.
-3, -2, 5
Solve -w**3 - 49*w**2 - 95*w - 47 = 0.
-47, -1
Factor l**3/2 + 25*l**2 - 103*l/2 + 26.
(l - 1)**2*(l + 52)/2
Factor -p**2 + 38*p.
-p*(p - 38)
Factor -3*s**2 - 36*s - 33.
-3*(s + 1)*(s + 11)
Factor 4*d**2 + 188*d - 6072.
4*(d - 22)*(d + 69)
Find v such that -v**3 + 12*v**2 + 27*v + 14 = 0.
-1, 14
Solve -j**3/3 + 17*j**2/2 + 40*j/3 + 9/2 = 0.
-1, -1/2, 27
Factor z**2 - 3805*z.
z*(z - 3805)
Solve -3*a**3 - 131*a**2 - 820*a + 288 = 0.
-36, -8, 1/3
Solve -15*s**3/8 - 27*s**2/4 - 57*s/8 - 9/4 = 0.
-2, -1, -3/5
Suppose 2*p**2/9 - 334*p/3 - 1004/9 = 0. What is p?
-1, 502
Suppose d**5/5 + 43*d**4/5 + 439*d**3/5 - 527*d**2/5 - 88*d + 484/5 = 0. Calculate d.
-22, -1, 1
Factor -c**4/4 - 3*c**3/4 + 8*c**2 - 15*c + 8.
-(c - 2)**2*(c - 1)*(c + 8)/4
Solve 3*s**5 + 14*s**4 + 17*s**3 - 6*s**2 - 20*s - 8 = 0 for s.
-2, -1, -2/3, 1
Solve w**5/3 + 34*w**4/3 + 344*w**3/3 + 866*w**2/3 - 115*w - 300 = 0 for w.
-15, -4, -1, 1
Solve -5*m**5 - 50*m**4 - 145*m**3 - 160*m**2 - 60*m = 0 for m.
-6, -2, -1, 0
Factor 3*q**3/7 - 15*q**2/7 - 6*q.
3*q*(q - 7)*(q + 2)/7
What is q in -5*q**2 - 1370*q - 1365 = 0?
-273, -1
Suppose 10*t**5/13 - 116*t**4/13 + 452*t**3/13 - 640*t**2/13 + 114*t/13 + 180/13 = 0. Calculate t.
-2/5, 1, 3, 5
Factor 3*a**4 + 18*a**3 + 12*a**2 - 18*a - 15.
3*(a - 1)*(a + 1)**2*(a + 5)
Factor -2*p**4/5 + 2*p**3/5 + 28*p**2/5 - 48*p/5.
-2*p*(p - 3)*(p - 2)*(p + 4)/5
What is o in 3*o**2/5 - 14*o/5 - 24/5 = 0?
-4/3, 6
Factor -j**5 + 13*j**4 + 30*j**3.
-j**3*(j - 15)*(j + 2)
Factor -w**2/6 + 61*w/3 - 236/3.
-(w - 118)*(w - 4)/6
Factor -h**3 - 131*h**2 + 402*h.
-h*(h - 3)*(h + 134)
Suppose v**2 + 4*v = 0. Calculate v.
-4, 0
Factor -2*x**5 + 32*x**4 + 348*x**3 + 864*x**2 + 54*x - 1296.
-2*(x - 24)*(x - 1)*(x + 3)**3
Find s such that -2*s**3/15 + 4*s**2/3 - 56*s/15 + 16/5 = 0.
2, 6
Let -5*v**5 - 10*v**4 + 35*v**3 + 40*v**2 - 60*v = 0. Calculate v.
-3, -2, 0, 1, 2
Find q such that 5*q**2 - 350*q = 0.
0, 70
Solve 4*n**2 - 24*n - 28 = 0 for n.
-1, 7
Factor -3*m**3 + 48*m**2 - 231*m + 294.
-3*(m - 7)**2*(m - 2)
Determine x, given that -18*x**3 + 93*x**2 + 93*x - 18 = 0.
-1, 1/6, 6
Suppose 4*s**4 + 684*s**3 + 43428*s**2 + 1210532*s + 12458760 = 0. Calculate s.
-47, -30
Solve p**3 - 647*p**2 + 105616*p - 311052 = 0 for p.
3, 322
Factor 2*l**4/17 + 22*l**3/17 + 52*l**2/17 + 32*l/17.
2*l*(l + 1)*(l + 2)*(l + 8)/17
Solve -2*s**3/5 + 2298*s**2/5 - 661248*s/5 + 658952/5 = 0.
1, 574
Factor 5*w**5 - 15*w**4 - 25*w**3 + 15*w**2 + 20*w.
5*w*(w - 4)*(w - 1)*(w + 1)**2
Solve -21*y**4/8 - 825*y**3/8 - 8613*y**2/8 - 9975*y/8 - 1083/4 = 0.
-19, -1, -2/7
Determine n so that -n**5 - 395*n**4 - 39202*n**3 - 38414*n**2 + 39203*n + 38809 = 0.
-197, -1, 1
What is w in 9*w**3 - 42*w**2 + 48*w = 0?
0, 2, 8/