culate a.
-23, -1/16, 0
Factor -5*z**3 - 130*z**2 - 125*z.
-5*z*(z + 1)*(z + 25)
Factor -h**2 + 212*h + 428.
-(h - 214)*(h + 2)
Factor 4*g**5/3 - 8*g**4 + 32*g**3/3.
4*g**3*(g - 4)*(g - 2)/3
Suppose -192*u**5/5 - 9264*u**4/5 - 32868*u**3 - 252285*u**2 - 698775*u = 0. What is u?
-55/4, -7, 0
Factor 2*x**3 + 58*x**2.
2*x**2*(x + 29)
Find k, given that -2*k**5/9 + 14*k**4/9 - 38*k**3/9 + 50*k**2/9 - 32*k/9 + 8/9 = 0.
1, 2
Factor u**3/5 - 968*u**2/5 - 2911*u/5 - 1942/5.
(u - 971)*(u + 1)*(u + 2)/5
Determine o, given that 4*o**2 - 144*o + 1232 = 0.
14, 22
Let -g**4/8 + 27*g**3/8 + 29*g**2/8 - 27*g/8 - 7/2 = 0. Calculate g.
-1, 1, 28
Factor -58695886128*f**4/7 + 627763488*f**3/7 - 2517768*f**2/7 + 4488*f/7 - 3/7.
-3*(374*f - 1)**4/7
Factor 45*r**3 - 9295*r**2 - 13500*r - 4160.
5*(r - 208)*(r + 1)*(9*r + 4)
What is a in 16*a**5 + 44*a**4 - 92*a**3 - 28*a**2 + 76*a - 16 = 0?
-4, -1, 1/4, 1
Solve 3*q**3/5 + 12*q**2/5 - 27*q/5 - 108/5 = 0.
-4, -3, 3
Factor k**3/3 - 2*k**2 + 8*k/3.
k*(k - 4)*(k - 2)/3
Suppose -3*l**4/2 + 246*l**3 - 13608*l**2 + 262440*l - 472392 = 0. What is l?
2, 54
Find d, given that 4*d**3 - 80*d**2 - 172*d - 88 = 0.
-1, 22
Solve 3*c**4/2 + 10581*c**3 + 37319187*c**2/2 = 0 for c.
-3527, 0
Factor s**3 + 50*s**2 + 81*s - 720.
(s - 3)*(s + 5)*(s + 48)
Factor -3*j**3/7 - 1209*j**2/7 - 2409*j/7 - 1203/7.
-3*(j + 1)**2*(j + 401)/7
Factor 27*s**3/4 + 11061*s**2/4 + 7365*s/4 + 1227/4.
3*(s + 409)*(3*s + 1)**2/4
Factor -5*p**4 - 330*p**3 + 2115*p**2 - 3220*p + 1440.
-5*(p - 4)*(p - 1)**2*(p + 72)
Factor 4*c**3 + 9572*c**2 + 5731232*c + 5721664.
4*(c + 1)*(c + 1196)**2
Suppose -h**3 + 4*h**2 + 29*h + 24 = 0. Calculate h.
-3, -1, 8
Factor -w**3 - 34*w**2.
-w**2*(w + 34)
Solve 15*u**5/2 - 167*u**4/4 + 207*u**3/4 - 39*u**2/2 + 2*u = 0 for u.
0, 1/6, 2/5, 1, 4
Find h such that h**4/6 - 62*h**3/3 + 1922*h**2/3 = 0.
0, 62
Solve c**2/2 + 1780*c + 1584200 = 0 for c.
-1780
Let -3*m**2 - 27*m - 60 = 0. Calculate m.
-5, -4
Factor -3*u**2 + 58*u - 19.
-(u - 19)*(3*u - 1)
Determine g, given that -g**4 - 5*g**3 + 7*g**2 + 29*g - 30 = 0.
-5, -3, 1, 2
Factor -3*b**3/7 + 291*b**2/7 - 1101*b/7 - 1395/7.
-3*(b - 93)*(b - 5)*(b + 1)/7
Find a such that -4*a**5/7 - 48*a**4/7 - 144*a**3/7 = 0.
-6, 0
Factor 4*k**3 - 20*k**2 - 296*k - 480.
4*(k - 12)*(k + 2)*(k + 5)
Factor -v**2/6 + 335*v/3 - 112225/6.
-(v - 335)**2/6
What is z in -2*z**4/3 + 54*z**3 - 106*z**2 + 158*z/3 = 0?
0, 1, 79
Find c such that -3*c**3 - 12*c**2 - 15*c - 6 = 0.
-2, -1
Factor -27*o**2/4 + 561*o/4 - 267/2.
-3*(o - 1)*(9*o - 178)/4
Factor -2*i**3/9 + 22*i**2/9 - 70*i/9 + 50/9.
-2*(i - 5)**2*(i - 1)/9
Factor -2*n**3/5 + 128*n**2/5 + 536*n/5 + 544/5.
-2*(n - 68)*(n + 2)**2/5
Factor 3*a**3/4 - 123*a**2/4 + 288*a - 783.
3*(a - 29)*(a - 6)**2/4
Factor 75*z**3 - 385*z**2 + 50*z.
5*z*(z - 5)*(15*z - 2)
Find z, given that 3*z**3/4 - 9*z**2 - 21*z = 0.
-2, 0, 14
Factor 2*o**4/3 + 13*o**3/3 + 22*o**2/3 + 8*o/3.
o*(o + 2)*(o + 4)*(2*o + 1)/3
Factor -3*j**4 + 52*j**3 - 63*j**2 - 18*j + 32.
-(j - 16)*(j - 1)**2*(3*j + 2)
Suppose -5*l**3 - 130*l**2 - 845*l = 0. What is l?
-13, 0
Solve 4*p**2 - 12536*p + 9821956 = 0.
1567
Suppose -2*q**2 + 2324*q - 2322 = 0. Calculate q.
1, 1161
Find w such that 5*w**5 + 225*w**4 + 3160*w**3 + 18100*w**2 + 41280*w + 32000 = 0.
-25, -8, -2
Solve f**4/6 - f**3 - 8*f**2/3 + 25*f - 75/2 = 0.
-5, 3, 5
Solve m**5/2 + 15*m**4/2 + 83*m**3/2 + 209*m**2/2 + 120*m + 50 = 0.
-5, -2, -1
Find x such that -2*x**2/15 - 406*x/15 - 404/15 = 0.
-202, -1
Determine n so that n**3/10 - 17*n**2/10 + 8*n/5 = 0.
0, 1, 16
Factor -2*o**2/13 + 60*o/13 + 62/13.
-2*(o - 31)*(o + 1)/13
Let -5*s**3 - 115*s**2 - 400*s - 380 = 0. Calculate s.
-19, -2
Find l, given that -2*l**2 - 74*l + 156 = 0.
-39, 2
Factor 4*j**3 - 7216*j**2 + 3261620*j - 6494408.
4*(j - 901)**2*(j - 2)
Solve 2*y**5 + 648*y**4/7 - 2574*y**3/7 + 1312*y**2/7 + 600*y/7 = 0 for y.
-50, -2/7, 0, 1, 3
Factor -5*u**2 + 2120*u.
-5*u*(u - 424)
Determine o so that 3*o**4 - 69*o**3 + 105*o**2 + 429*o + 252 = 0.
-1, 4, 21
Solve 2*d**4/5 - 1144*d**3/5 + 163592*d**2/5 = 0 for d.
0, 286
Factor -2*s**2/7 - 176*s/7 - 3872/7.
-2*(s + 44)**2/7
Solve -2*i**3 + 378*i**2 - 18048*i + 17672 = 0 for i.
1, 94
Factor 4*r**3 - 44*r**2 - 16*r + 176.
4*(r - 11)*(r - 2)*(r + 2)
Suppose -v**3 - 234*v**2 - 15729*v - 228980 = 0. Calculate v.
-107, -20
Suppose 2*p**2/5 - 8*p - 42/5 = 0. What is p?
-1, 21
Factor -3*y**4/2 - 24*y**3 - 231*y**2/2 - 147*y.
-3*y*(y + 2)*(y + 7)**2/2
Factor 18*f**3/7 + 34*f**2 - 488*f/7 - 120/7.
2*(f - 2)*(f + 15)*(9*f + 2)/7
Factor -66*w**2 + 400*w/3 - 8/3.
-2*(w - 2)*(99*w - 2)/3
Solve -r**3/9 - r**2/3 + 4*r - 32/9 = 0.
-8, 1, 4
Find k such that 4*k**3 + 44*k**2 - 260*k - 300 = 0.
-15, -1, 5
Factor g**2/4 + 3*g/2 + 2.
(g + 2)*(g + 4)/4
Solve 2*o**5 - 14*o**4 - 2*o**3 + 14*o**2 = 0.
-1, 0, 1, 7
Find l such that -4*l**2 + 14328*l + 14332 = 0.
-1, 3583
Factor m**3/2 - 9*m**2 + 17*m/2 + 210.
(m - 15)*(m - 7)*(m + 4)/2
Suppose -4*y**3 + 11*y**2 + 43*y + 10 = 0. Calculate y.
-2, -1/4, 5
Factor -2*x**4/9 - 190*x**3/9 - 62*x**2 - 554*x/9 - 184/9.
-2*(x + 1)**3*(x + 92)/9
Factor -4*y**4 - 24*y**3 + 48*y**2 + 152*y + 84.
-4*(y - 3)*(y + 1)**2*(y + 7)
Factor -35*r**2 - 74*r - 24.
-(5*r + 2)*(7*r + 12)
Solve -4*c**5/13 - 22*c**4/13 - 34*c**3/13 + 4*c**2/13 + 40*c/13 + 16/13 = 0.
-2, -1/2, 1
Find n such that 2*n**4/3 + 146*n**3/3 + 862*n**2 - 3034*n/3 - 5476/3 = 0.
-37, -1, 2
Let 2*c**3 - 44*c**2 + 82*c - 40 = 0. Calculate c.
1, 20
Factor 4*a**4 + 48*a**3 + 140*a**2.
4*a**2*(a + 5)*(a + 7)
Solve 31*y**3 - 54*y**2 + 15*y + 8 = 0.
-8/31, 1
Suppose 3*g**3 - 9*g**2 - 540*g + 1092 = 0. Calculate g.
-13, 2, 14
Factor 5*a**3 + 95*a**2 - 160*a - 1200.
5*(a - 4)*(a + 3)*(a + 20)
Solve -l**3 - 15*l**2 + 261*l + 275 = 0.
-25, -1, 11
What is z in -5*z**3 + 160*z**2 - 1105*z - 2890 = 0?
-2, 17
Factor 6*s**4/7 + 8*s**3/7 + 8*s**2/21.
2*s**2*(3*s + 2)**2/21
Let 3*z**2 + 9324*z + 7244748 = 0. Calculate z.
-1554
Find f such that 2*f**5/13 - 10*f**4/13 - 64*f**3/13 - 72*f**2/13 = 0.
-2, 0, 9
What is t in -3*t**2/5 + 831*t = 0?
0, 1385
Suppose -b**4 + 5*b**3 + 10*b**2 - 20*b - 24 = 0. What is b?
-2, -1, 2, 6
Solve 3*f**5/4 - 12*f**4 + 117*f**3/2 - 15*f**2 - 2325*f/4 + 1125 = 0.
-3, 4, 5
Factor -3*d**2/4 + 2169*d/4.
-3*d*(d - 723)/4
Determine w, given that 2*w**5/5 + 12*w**4/5 + 2*w**3 - 48*w**2/5 - 72*w/5 = 0.
-3, -2, 0, 2
Factor -3*n**2 + 240*n - 4800.
-3*(n - 40)**2
What is m in -2*m**3 - 30*m**2 - 256*m/9 - 56/9 = 0?
-14, -2/3, -1/3
Determine r so that 85750*r**5/11 - 757050*r**4/11 - 988960*r**3/11 - 154544*r**2/11 - 8544*r/11 - 160/11 = 0.
-1, -2/35, 10
Factor -20*j**5 - 108*j**4 - 40*j**3.
-4*j**3*(j + 5)*(5*j + 2)
Find i, given that -4*i**2 + 362*i - 180 = 0.
1/2, 90
Solve k**2/3 + 29*k/3 + 28/3 = 0.
-28, -1
Let -h**5/3 - 7*h**4/3 + 10*h**3/3 + 16*h**2/3 = 0. What is h?
-8, -1, 0, 2
Factor -2*v**5/21 + 186*v**4/7 - 12692*v**3/7 - 117596*v**2/21 - 39574*v/7 - 13254/7.
-2*(v - 141)**2*(v + 1)**3/21
Factor 3*f**2 + 9054*f + 6831243.
3*(f + 1509)**2
Suppose -3*r**4/2 + 552*r**3 - 50778*r**2 - 2208*r + 203136 = 0. Calculate r.
-2, 2, 184
Factor 5*z**2 - 110*z - 115.
5*(z - 23)*(z + 1)
Let -i**4/5 - 9*i**3/5 - 5*i**2 - 27*i/5 - 2 = 0. What is i?
-5, -2, -1
Factor -x**4 + 107*x**3 - 2808*x**2 - 2916*x.
-x*(x - 54)**2*(x + 1)
Suppose 343*w**5/8 - 294*w**4 + 231*w**3 - 64*w**2 + 6*w = 0. Calculate w.
0, 2/7, 6
Factor c**4/3 - 5*c**3/9 + 2*c**2/9.
c**2*(c - 1)*(3*c - 2)/9
Let -128*a**2/5 + 274*a/5 - 36/5 = 0. What is a?
9/64, 2
Let -2*i**4 - 12*i**3 - 2*i**2 + 48*i + 40 = 0. Calculate i.
-5, -2, -1, 2
Suppose 5*h**2/9 + 11*h/3 + 2 = 0. What is h?
-6, -3/5
Suppose 5*o**5/9 - 1832*o**4/9 - 1108*o**3/9 + 2566*o**2/9 + 1103*o/9 - 734/9 = 0. Calculate o.
-1, 2/5, 1, 367
Let 5*h**3 + 1785*h**2 = 0. Calculate h.
-357, 0
Factor -f**5 - 3*f**4 + 6*f**3 + 28*f**2 + 24*f.
-f*(f - 3)*(f + 2)**3
Determine m so that -3*m**2 + 18*m/5 + 24/5 = 0.
-4/5, 2
Factor 25*g**4 - 30*g**3 - 1045*g**2 + 210*g.
5*g*(g - 7)*(g + 6)*(5*g - 1)
Solve 5*u**4/6 + 335*u**3/6 + 1585*u**2/6 + 2185*u/6 + 155 = 0 for u.
-62, -3, -1
Factor 4*o**5 - 20*o**4 - 36*o**3 + 324*o**2 - 432*o.
4*o*(o - 3)**3*(o + 4)
Find j such that 2*j**4 + 1461*j**3/2 + 131373*j**2/2 - 186760*j - 50784 = 0.
-184, -1/4, 3
Factor 2*s**2/3 - 2