 + 1)**2*(8*y + 1)
Determine c, given that 4*c**2 - 68*c - 72 = 0.
-1, 18
Let b**4/4 - 5*b**3/4 - 5*b**2/2 + 5*b + 6 = 0. What is b?
-2, -1, 2, 6
Suppose 2*w**5 + 20*w**4 - 46*w**3 + 24*w**2 = 0. Calculate w.
-12, 0, 1
Find y, given that -y**4 + 58*y**3 + 180*y**2 + 182*y + 61 = 0.
-1, 61
Suppose c**2/5 - 694*c/5 + 693/5 = 0. Calculate c.
1, 693
Solve 6*d**5 + 34*d**4 + 62*d**3 + 46*d**2 + 12*d = 0.
-3, -1, -2/3, 0
Let -4*p**3 + 48*p**2 - 68*p - 120 = 0. Calculate p.
-1, 3, 10
Factor 3*z**2 + 90*z + 675.
3*(z + 15)**2
Factor -d**3 + 102*d**2 - 2601*d.
-d*(d - 51)**2
Factor n**2 + 40*n + 400.
(n + 20)**2
Find u, given that 10*u**4/3 + 125*u**3/6 + 5*u**2 - 320*u/3 - 80/3 = 0.
-4, -1/4, 2
Factor v**3 - 7057*v**2 + 12453840*v - 12446784.
(v - 3528)**2*(v - 1)
Factor 5*v**3 - 1140*v**2 + 86640*v - 2194880.
5*(v - 76)**3
Factor i**2/4 + 1719*i/4 - 430.
(i - 1)*(i + 1720)/4
Solve c**3 - 66*c**2 + 480*c + 22400 = 0 for c.
-14, 40
Determine j so that j**2/3 - 68*j/3 = 0.
0, 68
Factor -2*z**4 + 16*z**3 + 252*z**2 + 864*z + 918.
-2*(z - 17)*(z + 3)**3
Factor 5*u**3 + 80*u**2 - 555*u - 630.
5*(u - 6)*(u + 1)*(u + 21)
Let -2*c**3/5 - 178*c**2/5 - 4048*c/5 - 3872/5 = 0. Calculate c.
-44, -1
Suppose -2*l**5/13 + 10*l**4/13 - 40*l**2/13 + 32*l/13 = 0. Calculate l.
-2, 0, 1, 2, 4
Determine j, given that -2*j**4 - 98*j**3 - 1338*j**2 - 3358*j - 2116 = 0.
-23, -2, -1
Factor -h**4/4 - 5*h**3/4 + 3*h**2/2 + 8*h - 8.
-(h - 2)*(h - 1)*(h + 4)**2/4
Factor 2*p**5/7 + 12*p**4/7 - 32*p**3/7 + 4*p**2/7 + 30*p/7 - 16/7.
2*(p - 1)**3*(p + 1)*(p + 8)/7
Suppose t**4/4 + 31*t**3/4 + 105*t**2/4 - 99*t/4 - 243/2 = 0. Calculate t.
-27, -3, 2
Factor -5*p**5 + 3300*p**4 - 9870*p**3 + 9860*p**2 - 3285*p.
-5*p*(p - 657)*(p - 1)**3
Factor -3*r**5 - 120*r**4 - 936*r**3 + 5280*r**2 - 5808*r.
-3*r*(r - 2)**2*(r + 22)**2
Determine b, given that 5*b**4 + 45*b**3 - 170*b**2 + 120*b = 0.
-12, 0, 1, 2
Let 2*o**5/5 - 6*o**4 + 58*o**3/5 + 414*o**2/5 + 324*o/5 = 0. Calculate o.
-2, -1, 0, 9
Factor -t**3/3 - 5*t**2/3 - 8*t/3 - 4/3.
-(t + 1)*(t + 2)**2/3
Factor 2*q**2/7 - 278*q/7 - 1740/7.
2*(q - 145)*(q + 6)/7
Factor 2*z**3/7 - 24*z**2/7 - 30*z/7 + 52/7.
2*(z - 13)*(z - 1)*(z + 2)/7
Factor -n**3/7 + 6*n**2/7 - 11*n/7 + 6/7.
-(n - 3)*(n - 2)*(n - 1)/7
Solve -8*b**3/19 + 486*b**2/19 + 618*b/19 + 124/19 = 0 for b.
-1, -1/4, 62
Factor 5*a**3 + 50*a**2 - 305*a - 350.
5*(a - 5)*(a + 1)*(a + 14)
Factor 98*a**4 + 518*a**3 + 800*a**2 + 384*a.
2*a*(a + 3)*(7*a + 8)**2
Factor s**4 + 11*s**3 + 22*s**2 - 60*s - 72.
(s - 2)*(s + 1)*(s + 6)**2
What is m in -m**5 + 14*m**4 - 43*m**3 + 26*m**2 + 44*m - 40 = 0?
-1, 1, 2, 10
Factor -4*p**2/7 - 3148*p/7 - 6280/7.
-4*(p + 2)*(p + 785)/7
Suppose 2*x**4/19 + 2320*x**3/19 + 672800*x**2/19 = 0. What is x?
-580, 0
Let -v**3/5 - 5061*v**2/5 - 8537907*v/5 - 4801149703/5 = 0. Calculate v.
-1687
Factor -3*q**3 - 111*q**2 + 1080*q.
-3*q*(q - 8)*(q + 45)
Find x such that -36*x**5 - 352*x**4 - 964*x**3 - 920*x**2 - 176*x + 96 = 0.
-6, -2, -1, 2/9
Suppose -s**5/3 - 4*s**4/3 + 2*s**3 + 4*s**2/3 - 5*s/3 = 0. What is s?
-5, -1, 0, 1
Factor 2*y**2 - 254*y/3 + 28.
2*(y - 42)*(3*y - 1)/3
Solve -2*x**2 + 1180*x + 1182 = 0 for x.
-1, 591
Factor -32*h**3/7 - 228*h**2/7 - 220*h/7 - 24/7.
-4*(h + 1)*(h + 6)*(8*h + 1)/7
Suppose 2*o**2 - 1040*o - 1042 = 0. Calculate o.
-1, 521
Factor 25*p**2/2 - 135*p - 55/2.
5*(p - 11)*(5*p + 1)/2
Factor 2*t**2.
2*t**2
Let -5*o**5 - 15*o**4 + 395*o**3 + 2235*o**2 + 3150*o = 0. What is o?
-7, -3, 0, 10
Suppose 2*j**5/3 - 8*j**4/3 + 8*j**3/3 = 0. What is j?
0, 2
Find c such that 3*c**5 + 6*c**4 - 15*c**3 - 18*c**2 = 0.
-3, -1, 0, 2
Factor 5*c**3 + 1175*c**2 + 70760*c + 201840.
5*(c + 3)*(c + 116)**2
Factor s**4 + 73*s**3/5 + 8*s**2 - 28*s/5.
s*(s + 1)*(s + 14)*(5*s - 2)/5
Let -3*q**3 + 240*q**2 + 492*q = 0. Calculate q.
-2, 0, 82
Factor -25*i**3 - 30*i**2 + 135*i - 80.
-5*(i - 1)**2*(5*i + 16)
Suppose -r**3/11 - 72*r**2/11 - 141*r/11 - 70/11 = 0. Calculate r.
-70, -1
Factor 2*b**4/7 - 2*b**3/7 - 6*b**2/7 + 2*b/7 + 4/7.
2*(b - 2)*(b - 1)*(b + 1)**2/7
Let 453962*z**4/5 + 1205604*z**3/5 - 450912*z**2/5 + 53116*z/5 - 2058/5 = 0. Calculate z.
-3, 7/61
Factor 3*u**4/4 + 9*u**3/2 + 27*u**2/4 - 3*u - 9.
3*(u - 1)*(u + 2)**2*(u + 3)/4
Factor -3*u**2/4 + 93*u/4 - 45/2.
-3*(u - 30)*(u - 1)/4
Factor 18*o**2/19 + 1228*o/19 + 272/19.
2*(o + 68)*(9*o + 2)/19
Factor 3*n**4/4 + n**3 - 3*n**2/4 - n.
n*(n - 1)*(n + 1)*(3*n + 4)/4
Factor w**5/7 - 8*w**4/7 + 13*w**3/7 - 6*w**2/7.
w**2*(w - 6)*(w - 1)**2/7
Factor -2*i**4/7 - 8*i**3/7 - 10*i**2/7 - 4*i/7.
-2*i*(i + 1)**2*(i + 2)/7
Find x such that 16*x**5/3 - 40*x**4/3 - 37*x**3 + 62*x**2/3 - 8*x/3 = 0.
-2, 0, 1/4, 4
Factor -2*p**2/3 + 34*p/3 + 180.
-2*(p - 27)*(p + 10)/3
Factor -2*q**4 - 10*q**3 + 64*q**2 - 72*q.
-2*q*(q - 2)**2*(q + 9)
Solve -5*q**4 + 40*q**3 - 65*q**2 + 30*q = 0.
0, 1, 6
Factor 162*i**4/7 + 5634*i**3 + 17504*i**2/7 + 1944*i/7.
2*i*(i + 243)*(9*i + 2)**2/7
Factor 2*m**4 + 6*m**3 - 44*m**2 - 48*m.
2*m*(m - 4)*(m + 1)*(m + 6)
Factor -q**2/4 + 23*q.
-q*(q - 92)/4
Suppose 2*o**4 - 24*o**3 + 60*o**2 - 56*o + 18 = 0. Calculate o.
1, 9
Factor 2*w**2/7 + 14*w - 100/7.
2*(w - 1)*(w + 50)/7
Factor -670*s**2/9 + 662*s/9 + 8/9.
-2*(s - 1)*(335*s + 4)/9
Determine u, given that -5*u**4/4 - 3055*u**3/4 - 462045*u**2/4 + 1407595*u/4 - 471245/2 = 0.
-307, 1, 2
Suppose -3*s**5/5 - 39*s**4 - 183*s**3/5 + 579*s**2/5 + 186*s/5 - 384/5 = 0. Calculate s.
-64, -2, -1, 1
Determine l, given that 3*l**4 + 264*l**3 + 261*l**2 = 0.
-87, -1, 0
Factor w**4/12 - w**3 + 35*w**2/12 - 2*w.
w*(w - 8)*(w - 3)*(w - 1)/12
Find k such that 2*k**3 + 1898*k**2 + 3790*k + 1894 = 0.
-947, -1
Suppose -3*h**3 + 585*h**2 - 38025*h + 823875 = 0. Calculate h.
65
What is h in 20*h**3 + 2492*h**2 - 3520*h + 1008 = 0?
-126, 2/5, 1
Solve -t**3 + 21*t**2 - 20*t = 0.
0, 1, 20
Find f such that 3*f**5/7 + 3*f**4 + 39*f**3/7 + 3*f**2/7 - 6*f - 24/7 = 0.
-4, -2, -1, 1
What is r in -8*r**4 - 204*r**3 - 628*r**2 - 264*r = 0?
-22, -3, -1/2, 0
What is t in -2*t**4/3 - 1046*t**3/3 - 61242*t**2 - 11073730*t/3 - 41421736/3 = 0?
-173, -4
Factor -2*p**4/9 + 70*p**3/9 - 68*p**2/9.
-2*p**2*(p - 34)*(p - 1)/9
Let -2*w**3/3 - 74*w**2/3 - 142*w/3 - 70/3 = 0. Calculate w.
-35, -1
Determine n so that -2*n**4/3 + 26*n**3/3 - 40*n**2 + 232*n/3 - 160/3 = 0.
2, 4, 5
What is t in -4375*t**4 - 3875*t**3 - 1275*t**2 - 185*t - 10 = 0?
-2/7, -1/5
Let -343*g**5 - 931*g**4 + 8778*g**3 - 9990*g**2 + 4077*g - 567 = 0. Calculate g.
-7, 3/7, 3
Factor -15*x**4 - 6170*x**3 - 24620*x**2/3 - 8200*x/3.
-5*x*(x + 410)*(3*x + 2)**2/3
Suppose -4*h**2/5 + 127*h/5 + 32/5 = 0. Calculate h.
-1/4, 32
Let -3*q**3/2 + 180*q**2 - 1059*q/2 + 351 = 0. Calculate q.
1, 2, 117
Solve -32*r**4/5 - 1232*r**3/5 + 3326*r**2/5 + 1892*r/5 + 246/5 = 0.
-41, -1/4, 3
Determine i, given that -3*i**5 - 24*i**4 - 72*i**3 - 96*i**2 - 48*i = 0.
-2, 0
Determine z, given that z**3/4 - 1433*z**2/4 + 2863*z/4 - 1431/4 = 0.
1, 1431
Factor 14*f**3/9 - 260*f**2/9 + 382*f/3 + 60.
2*(f - 10)*(f - 9)*(7*f + 3)/9
Factor 4*t**2 - 4152*t - 4156.
4*(t - 1039)*(t + 1)
Solve 520*o**4 - 8*o**3 - 390*o**2 - 124*o + 2 = 0.
-1/2, 1/65, 1
Let -810*n**2 - 4785*n - 350 = 0. Calculate n.
-35/6, -2/27
Determine l so that 3*l**5 - 3*l**4 - 39*l**3 + 3*l**2 + 36*l = 0.
-3, -1, 0, 1, 4
Find v such that v**3/7 + 90*v**2/7 + 2025*v/7 = 0.
-45, 0
Factor 2*r**2/9 - 4*r.
2*r*(r - 18)/9
Factor 4*a**5 + 212*a**4 - 1124*a**3 + 2060*a**2 - 1616*a + 464.
4*(a - 2)*(a - 1)**3*(a + 58)
Let 10*l**5 - 6*l**4 - 14*l**3 + 6*l**2 + 4*l = 0. What is l?
-1, -2/5, 0, 1
What is k in 2*k**3/5 + 82*k**2/5 + 158*k/5 + 78/5 = 0?
-39, -1
Factor f**2/5 + 3*f/5.
f*(f + 3)/5
Solve 2*a**5 + 294*a**4 + 864*a**3 - 8*a**2 - 1152*a = 0 for a.
-144, -2, 0, 1
Factor 25*g**4 - 423*g**3 + 741*g**2 - 313*g - 30.
(g - 15)*(g - 1)**2*(25*g + 2)
Suppose -69*z**5 - 282*z**4 + 1839*z**3 - 2460*z**2 + 876*z + 96 = 0. Calculate z.
-8, -2/23, 1, 2
Factor 2*j**2 + 24*j - 440.
2*(j - 10)*(j + 22)
Factor -4*k**3/7 + 26*k**2/7 + 52*k/7 - 32/7.
-2*(k - 8)*(k + 2)*(2*k - 1)/7
Solve -u**2/5 - 12*u/5 = 0 for u.
-12, 0
Solve -2*l**4/9 - 164*l**3/9 - 1270*l**2/3 - 18088*l/9 - 14440/9 = 0.
-38, -5, -1
Factor -2*l**2 + 152*l - 296.
-2*(l - 74)*(l - 2)
Factor -y**3 + 10*y**2 - 33*y + 36.
-(y - 4)*(y - 3)**2
Factor -3