9
Factor -4*x**4 + 2560*x**3 - 614400*x**2 + 65536000*x - 2621440000.
-4*(x - 160)**4
Factor -z**2/6 + 539*z/3 - 290521/6.
-(z - 539)**2/6
Factor z**2/6 + 278*z + 115926.
(z + 834)**2/6
Solve 4*l**3 - 36*l**2 - 100*l + 132 = 0.
-3, 1, 11
Find w such that w**2 - 103*w - 318 = 0.
-3, 106
Let -3*i**3 - 3*i**2 + 3*i + 3 = 0. Calculate i.
-1, 1
Let -2*y**3/3 - 302*y**2/3 - 11248*y/3 + 11552/3 = 0. What is y?
-76, 1
Factor -k**5/3 + 2*k**4/3 - 2*k**2/3 + k/3.
-k*(k - 1)**3*(k + 1)/3
Factor -l**2/3 - 2040*l - 3121200.
-(l + 3060)**2/3
Let 2*y**4/15 - 2*y**3/5 - 8*y**2/5 + 104*y/15 - 32/5 = 0. Calculate y.
-4, 2, 3
Let -5*n**3 + 15*n**2 - 20 = 0. Calculate n.
-1, 2
Determine k, given that 45*k**3/4 + 49*k**2/4 + k = 0.
-1, -4/45, 0
Factor h**3/2 + 201*h**2/2 + 395*h/2 - 597/2.
(h - 1)*(h + 3)*(h + 199)/2
Factor m**2/6 + 3*m/2 + 7/3.
(m + 2)*(m + 7)/6
Let z**3 + z**2 - 10*z + 8 = 0. What is z?
-4, 1, 2
Suppose 5*h**2 - 260*h - 540 = 0. What is h?
-2, 54
Determine b so that -b**2 - 5246*b - 6880129 = 0.
-2623
Factor -2*c**5 + 4*c**3 - 2*c.
-2*c*(c - 1)**2*(c + 1)**2
Factor -10*i**2/11 + 896*i/11 + 360/11.
-2*(i - 90)*(5*i + 2)/11
Suppose 9*d**3 + 294*d**2 - 405*d + 102 = 0. What is d?
-34, 1/3, 1
Factor 2*x**4 - 44*x**3 + 38*x**2 + 84*x.
2*x*(x - 21)*(x - 2)*(x + 1)
Factor 3*l**5 - 3*l**4 - 6*l**3.
3*l**3*(l - 2)*(l + 1)
Factor -o**3/8 - 29*o**2/8 - 199*o/8 - 171/8.
-(o + 1)*(o + 9)*(o + 19)/8
What is v in 5*v**3 + 595*v**2 + 1750*v + 1160 = 0?
-116, -2, -1
Factor c**5 - 8*c**4 + 20*c**3 - 16*c**2.
c**2*(c - 4)*(c - 2)**2
Factor -4*c**2 - 620*c - 1824.
-4*(c + 3)*(c + 152)
Determine v so that -v**3/4 - 47*v**2/4 + 93*v - 81 = 0.
-54, 1, 6
Factor 5*r**4 + 630*r**3 + 19840*r**2 - 630*r - 19845.
5*(r - 1)*(r + 1)*(r + 63)**2
Factor 2*j**2 + 120*j + 1800.
2*(j + 30)**2
Factor -3*j**3 - 2256*j**2 + 13617*j - 20466.
-3*(j - 3)**2*(j + 758)
Factor 2*v**3/3 + 6*v**2 + 18*v + 18.
2*(v + 3)**3/3
Find h such that -2*h**5 + 144*h**4/5 - 416*h**3/5 + 484*h**2/5 - 246*h/5 + 44/5 = 0.
2/5, 1, 11
Solve f**5 - 2*f**3 + f = 0 for f.
-1, 0, 1
What is q in -9*q**2 - 57*q - 90 = 0?
-10/3, -3
Find c, given that 3*c**3/2 + 35*c**2/2 + 42*c - 16 = 0.
-8, -4, 1/3
What is m in 7*m**4 - 47*m**3 + 63*m**2 - 13*m - 10 = 0?
-2/7, 1, 5
Find v such that -20*v**5 - 16*v**4 + 60*v**3 + 88*v**2 + 32*v = 0.
-1, -4/5, 0, 2
Solve -16*k**4 - 132*k**3 + 288*k**2 + 80*k = 0.
-10, -1/4, 0, 2
Factor -3*b**2 + 13968*b - 16258752.
-3*(b - 2328)**2
Factor -3*x**2 - 42*x - 72.
-3*(x + 2)*(x + 12)
Suppose s**3 - 22*s**2 + 153*s - 324 = 0. Calculate s.
4, 9
Find h such that 56*h**5/3 - 36*h**4 - 80*h**3/3 + 140*h**2/3 + 8*h - 32/3 = 0.
-1, -4/7, 1/2, 1, 2
Factor -2*x**4 + 64*x**3 + 134*x**2 + 68*x.
-2*x*(x - 34)*(x + 1)**2
Let 3*h**4 + 66*h**3 + 357*h**2 + 294*h = 0. Calculate h.
-14, -7, -1, 0
Determine f so that f**4/3 + 13*f**3/3 + 9*f**2 - 97*f/3 + 56/3 = 0.
-8, -7, 1
Solve b**5 + 4*b**4 - 12*b**3 - 34*b**2 + 11*b + 30 = 0.
-5, -2, -1, 1, 3
Factor 5*o**4 + 330*o**3 + 5765*o**2 + 10560*o + 5120.
5*(o + 1)**2*(o + 32)**2
Suppose -10*o**5/17 + 236*o**4/17 - 694*o**3/17 - 9556*o**2/17 + 6104*o/17 + 3920/17 = 0. Calculate o.
-5, -2/5, 1, 14
Find k, given that -3*k**2 - 36*k + 1620 = 0.
-30, 18
Factor b**2/2 + 29*b/2 + 39.
(b + 3)*(b + 26)/2
Factor 264*s**3/7 + 40*s**2 + 82*s/7 + 4/7.
2*(2*s + 1)**2*(33*s + 2)/7
Determine h so that h**5/4 - 9*h**4/4 + 13*h**3/4 + 9*h**2/4 - 7*h/2 = 0.
-1, 0, 1, 2, 7
Find p such that -4*p**4 - 140*p**3 - 1516*p**2 - 4980*p - 3600 = 0.
-15, -4, -1
Factor t**2 + t - 132.
(t - 11)*(t + 12)
Find y, given that -2*y**4/13 + 14*y**2/13 - 12*y/13 = 0.
-3, 0, 1, 2
Suppose -q**2/5 - 39*q/10 + 27/2 = 0. What is q?
-45/2, 3
Factor f**3 - 7*f**2 - 56*f - 48.
(f - 12)*(f + 1)*(f + 4)
Factor -4*f**2 - 220*f + 456.
-4*(f - 2)*(f + 57)
Suppose 3*n**5 - 121*n**4 - 491*n**3 + 297*n**2 + 488*n - 176 = 0. What is n?
-4, -1, 1/3, 1, 44
Let 231*k**2/8 + 27*k/2 + 3/2 = 0. What is k?
-2/7, -2/11
Suppose -d**3/2 + 13*d**2/2 = 0. What is d?
0, 13
Factor -2*h**2 - 90*h + 188.
-2*(h - 2)*(h + 47)
Suppose -24*a**5 - 52*a**4 - 8*a**3 + 48*a**2 + 32*a + 4 = 0. What is a?
-1, -1/6, 1
Factor -2*m**3 - 112*m**2 + 474*m - 360.
-2*(m - 3)*(m - 1)*(m + 60)
Determine h so that h**2/6 + 157*h/6 + 26 = 0.
-156, -1
Factor -3*r**2 - 27*r - 60.
-3*(r + 4)*(r + 5)
Let t**5 - t**4 - 3*t**3 + 5*t**2 - 2*t = 0. Calculate t.
-2, 0, 1
Determine u so that -3*u**2 - 642*u - 34347 = 0.
-107
Let -l**4 - 9*l**3/5 + 77*l**2/5 + 33*l - 36/5 = 0. Calculate l.
-3, 1/5, 4
Factor 2*g**4/7 + 78*g**3/7 + 972*g**2/7 + 4968*g/7 + 1296.
2*(g + 6)**3*(g + 21)/7
Factor i**3 - 29*i**2 + 215*i - 475.
(i - 19)*(i - 5)**2
Find u, given that 3*u**4/4 + 33*u**3/4 - 39*u**2/4 - 33*u/4 + 9 = 0.
-12, -1, 1
Find k such that 24*k**4 + 21*k**3 - 51*k**2 + 6*k = 0.
-2, 0, 1/8, 1
Find c such that 131*c**3/3 + 2*c**2/3 - 524*c/3 - 8/3 = 0.
-2, -2/131, 2
Solve -g**2 - 26*g - 160 = 0 for g.
-16, -10
Solve -c**5/7 + c**4 + 66*c**3/7 + 146*c**2/7 + 127*c/7 + 39/7 = 0 for c.
-3, -1, 13
Suppose -5*u**2 + 830*u - 34445 = 0. Calculate u.
83
Let -8*o**5/3 + 12754*o**4/3 - 5084852*o**3/3 + 1257664*o**2/3 + 5084860*o/3 - 1270418/3 = 0. Calculate o.
-1, 1/4, 1, 797
Solve d**5/7 - 12*d**4/7 + 4*d**3/7 + 90*d**2/7 - 149*d/7 + 66/7 = 0.
-3, 1, 2, 11
What is r in -r**2/2 - 21*r + 2263/2 = 0?
-73, 31
Find w, given that -3*w**3 - 87*w**2 + 27*w + 783 = 0.
-29, -3, 3
Factor 18*u**4 + 10*u**3 - 98*u**2 + 94*u - 24.
2*(u - 1)**2*(u + 3)*(9*u - 4)
Suppose 2*y**4/7 + 36*y**3/7 + 120*y**2/7 - 400*y/7 = 0. What is y?
-10, 0, 2
Suppose -4*j**4 + 68*j**3 + 240*j**2 = 0. Calculate j.
-3, 0, 20
Solve 32*o**5/7 + 80*o**4/7 + 18*o**3/7 - 26*o**2/7 + 4*o/7 = 0.
-2, -1, 0, 1/4
Factor p**3/4 - 60*p**2 + 4800*p - 128000.
(p - 80)**3/4
Factor 2*s**3/5 - 2956*s**2/5 - 5918*s/5 - 592.
2*(s - 1480)*(s + 1)**2/5
Factor b**4/6 + 2*b**3/3 - 16*b**2/3.
b**2*(b - 4)*(b + 8)/6
Let -6*j**3/7 - 64*j**2/7 + 30*j/7 + 88/7 = 0. What is j?
-11, -1, 4/3
Suppose -87*i**4/4 + 255*i**3/4 - 243*i**2/4 + 69*i/4 + 3/2 = 0. What is i?
-2/29, 1
Let -8*c**2/5 - 30*c - 598/5 = 0. Calculate c.
-13, -23/4
Factor p**4 + 510*p**3 + 87204*p**2 + 5083858*p + 14480427.
(p + 3)*(p + 169)**3
Determine f so that 21*f**3 - 204*f**2 + 276*f + 96 = 0.
-2/7, 2, 8
Factor 2*d**5 + 396*d**4 + 1176*d**3 + 1172*d**2 + 390*d.
2*d*(d + 1)**3*(d + 195)
Determine n so that -2*n**2/13 - 620*n/13 = 0.
-310, 0
What is c in -4*c**3 - 236*c**2 + 488*c = 0?
-61, 0, 2
Find q, given that -3*q**3 + 15*q**2 - 18*q = 0.
0, 2, 3
Factor 177*x**2/5 - 1044*x/5 - 108/5.
3*(x - 6)*(59*x + 6)/5
Factor 5*g**3 + 70*g**2 + 200*g.
5*g*(g + 4)*(g + 10)
Factor -4*a**3/7 + 2*a**2 + 8*a/7.
-2*a*(a - 4)*(2*a + 1)/7
Factor -5*n**2 - 180*n + 185.
-5*(n - 1)*(n + 37)
Factor 5*m**2 + 80550*m + 324415125.
5*(m + 8055)**2
Let 8*d**2/21 + 162*d/7 - 122/21 = 0. What is d?
-61, 1/4
Factor -2*a**3/5 + 28*a**2/5 - 24*a + 144/5.
-2*(a - 6)**2*(a - 2)/5
Determine r, given that 3*r**2/2 + 633*r/2 + 315 = 0.
-210, -1
Factor -20*f**4/11 + 46*f**3/11 + 10*f**2/11.
-2*f**2*(2*f - 5)*(5*f + 1)/11
Determine i so that i**5/3 + 2*i**4 + 7*i**3/3 - 2*i**2 - 8*i/3 = 0.
-4, -2, -1, 0, 1
Factor q**2/4 + 49*q + 2401.
(q + 98)**2/4
Factor t**3/6 - 17*t**2/3 + 28*t.
t*(t - 28)*(t - 6)/6
Factor -3*v**3 - 63*v**2 - 405*v - 729.
-3*(v + 3)*(v + 9)**2
Factor -5*o**3 + 230*o**2 + 235*o.
-5*o*(o - 47)*(o + 1)
Factor z**3/2 + 9*z**2/2 + 7*z.
z*(z + 2)*(z + 7)/2
Find g, given that 2*g**3/5 - 62*g**2/5 = 0.
0, 31
Factor 5*s**3 + 65*s**2 - 450*s.
5*s*(s - 5)*(s + 18)
Solve 5*x**3/2 + 55*x**2/2 + 50*x - 80 = 0.
-8, -4, 1
Factor 2*y**2/3 - 3742*y/3.
2*y*(y - 1871)/3
Suppose q**2/3 + 38*q/3 + 64 = 0. Calculate q.
-32, -6
Factor -2*l**2/17 + 50*l/17 - 312/17.
-2*(l - 13)*(l - 12)/17
Factor -p**4/6 + 1453*p**3/6 - 234255*p**2/2 + 112672775*p/6 + 114084125/3.
-(p - 485)**3*(p + 2)/6
Suppose -10*j**2/3 + 28*j/3 + 38/3 = 0. Calculate j.
-1, 19/5
Factor -z**3/10 - 11*z**2/5 - 41*z/10 - 2.
-(z + 1)**2*(z + 20)/10
Suppose -5*t**2 - 630*t - 625 = 0. What is t?
-125, -1
Solve -q**5/3 - 16*q**4/3 + 265*q**3/3 - 836*q**2/3 + 252*q = 0 for q.
-27, 0, 2, 7
Factor 2*v**4/9 + 2*v**3/9 - 2*v**2/3 - 2*v/9 + 4/9.
2*(v - 1)**2*(v + 1)*(v + 2)/9
Factor -5*q**3/4 - 55*q**2/4 - 45*q - 45.
-5*(q + 2)*(q + 3)*(q + 6)/4
Let