*o**2 - 15*o = 0. Calculate o.
-1, 0, 1, 5
Factor 5*l**2 + 677*l/3 + 30.
(l + 45)*(15*l + 2)/3
Factor 4*r**5 - 28*r**3 - 24*r**2.
4*r**2*(r - 3)*(r + 1)*(r + 2)
Factor -2*x**2/7 - 814*x - 5696/7.
-2*(x + 1)*(x + 2848)/7
Determine x, given that 15*x**5 + 51*x**4 + 63*x**3 + 33*x**2 + 6*x = 0.
-1, -2/5, 0
What is r in 2*r**4/3 + 4*r**3 + 22*r**2/3 + 4*r = 0?
-3, -2, -1, 0
Solve 4*k**2 - 688*k + 29584 = 0 for k.
86
Factor c**5/11 + 87*c**4/11 + 1758*c**3/11 - 5806*c**2/11 + 5985*c/11 - 2025/11.
(c - 1)**3*(c + 45)**2/11
Suppose 9075*f**2/2 + 495*f + 27/2 = 0. Calculate f.
-3/55
Suppose 2*z**3 - 26*z**2 + 100*z - 112 = 0. What is z?
2, 4, 7
Suppose -c**5/3 + 2*c**4 + 19*c**3/3 - 16*c**2/3 - 20*c - 32/3 = 0. Calculate c.
-2, -1, 2, 8
Let -10*b**4 + 25*b**3 - 15*b**2 - 5*b + 5 = 0. What is b?
-1/2, 1
Factor -2*a**2/9 + 304*a/9 - 11552/9.
-2*(a - 76)**2/9
What is a in -5*a**2 - 1055*a + 1060 = 0?
-212, 1
Let 125*l**5 + 650*l**4 + 1270*l**3 + 1180*l**2 + 525*l + 90 = 0. Calculate l.
-2, -1, -3/5
Let -o**4/5 - 29*o**3 + 3*o**2/5 + 437*o/5 + 58 = 0. Calculate o.
-145, -1, 2
Find n such that 5*n**2 - 7060*n + 2492180 = 0.
706
Factor n**3/6 - 32*n**2 + 1598*n - 17672/3.
(n - 94)**2*(n - 4)/6
Let -2*y**2/7 + 198*y/7 - 940/7 = 0. What is y?
5, 94
Factor -2*h**2/15 + 16*h/15 - 2.
-2*(h - 5)*(h - 3)/15
Suppose 3*b**3/2 + 209*b**2 + 553*b/2 + 69 = 0. Calculate b.
-138, -1, -1/3
Let 3*p**2 + 210*p - 213 = 0. Calculate p.
-71, 1
Factor 4*m**3 + 532*m**2 + 4064*m + 8000.
4*(m + 4)**2*(m + 125)
Factor -205*q**2 - 225*q - 20.
-5*(q + 1)*(41*q + 4)
Determine i, given that i**5 - 2*i**4 - 11*i**3 + 40*i**2 - 44*i + 16 = 0.
-4, 1, 2
Determine d, given that -9*d**5 + 42*d**4 + 227*d**3 + 124*d**2 - 164*d + 32 = 0.
-2, 1/3, 8
Suppose -4*o**2/7 + 132*o/7 + 760/7 = 0. What is o?
-5, 38
Factor -8*o**2 + 262*o - 254.
-2*(o - 1)*(4*o - 127)
Factor -3*a**3/7 + 177*a**2/7 - 345*a/7 + 171/7.
-3*(a - 57)*(a - 1)**2/7
Find j such that 5*j**5 - 45*j**4 + 50*j**3 + 150*j**2 - 55*j - 105 = 0.
-1, 1, 3, 7
Let -3*c**2/2 - 177*c/2 - 792 = 0. What is c?
-48, -11
Factor -2*j**4 + 168*j**3 - 328*j**2.
-2*j**2*(j - 82)*(j - 2)
Factor 3*w**4 - 798*w**3 + 5439*w**2.
3*w**2*(w - 259)*(w - 7)
Solve -x**3/5 - 106*x**2/5 + x/5 + 106/5 = 0.
-106, -1, 1
Solve -2*f**5/13 - 98*f**4/13 - 540*f**3/13 - 1052*f**2/13 - 866*f/13 - 258/13 = 0.
-43, -3, -1
Solve 2*h**2/3 + 8*h + 24 = 0 for h.
-6
Find g, given that -2*g**5/15 - 2*g**4/5 + 4*g**3/5 + 56*g**2/15 + 16*g/5 = 0.
-2, 0, 3
What is s in 2*s**3/5 - 24*s**2/5 + 18*s - 20 = 0?
2, 5
Suppose 44*p**2 + 32*p - 12 = 0. Calculate p.
-1, 3/11
Factor -2*o**3 - 110*o**2/3 + 76*o/3.
-2*o*(o + 19)*(3*o - 2)/3
Suppose -2*c**5/3 - 4*c**4 = 0. Calculate c.
-6, 0
Factor 6*b**3 - 58*b**2/3 - 56*b + 40/3.
2*(b - 5)*(b + 2)*(9*b - 2)/3
Determine i, given that -2*i**5 + 32*i**4 - 186*i**3 + 476*i**2 - 512*i + 192 = 0.
1, 4, 6
Solve -605*c**5 + 1540*c**4 + 1715*c**3 - 6070*c**2 + 2820*c - 360 = 0 for c.
-2, 3/11, 2
Factor -3*k**2 + 645*k - 1278.
-3*(k - 213)*(k - 2)
Factor g**2/3 + 53*g/3 - 18.
(g - 1)*(g + 54)/3
Let -2*u**5 + 18*u**4 - 54*u**3 + 46*u**2 + 48*u - 72 = 0. Calculate u.
-1, 2, 3
Suppose 5*r**4 - 45*r**3 + 65*r**2 + 225*r - 250 = 0. What is r?
-2, 1, 5
Factor 4*p**4 - 160*p**3 + 456*p**2 - 448*p + 148.
4*(p - 37)*(p - 1)**3
Factor h**2/5 + 14*h/5 + 48/5.
(h + 6)*(h + 8)/5
Solve 2*j**5/7 + 2*j**4 + 12*j**3/7 - 108*j**2/7 - 270*j/7 - 162/7 = 0 for j.
-3, -1, 3
Factor 3*g**3 + 111*g**2 - 1059*g + 945.
3*(g - 7)*(g - 1)*(g + 45)
Suppose -q**2/2 + 1613*q/2 = 0. Calculate q.
0, 1613
Determine t, given that 10*t**3 + 415*t**2 - 215*t - 210 = 0.
-42, -1/2, 1
Let -5*a**5 + 5*a**4 + 5*a**3 - 5*a**2 = 0. What is a?
-1, 0, 1
Factor 2*v**3/5 - 14*v/5 - 12/5.
2*(v - 3)*(v + 1)*(v + 2)/5
Factor 5*k**2 + 95*k - 460.
5*(k - 4)*(k + 23)
Determine r so that -4*r**2 - 276*r - 4680 = 0.
-39, -30
Solve 3*s**3 - 23*s**2 + 44*s - 20 = 0 for s.
2/3, 2, 5
Factor d**4 - 24*d**3 - 137*d**2 - 228*d - 116.
(d - 29)*(d + 1)*(d + 2)**2
Factor 206*l**2/5 + 107*l/5 + 2/5.
(2*l + 1)*(103*l + 2)/5
Suppose 2*t**5/9 + 2*t**4/3 - 14*t**3/9 - 22*t**2/9 + 4*t/3 + 16/9 = 0. Calculate t.
-4, -1, 1, 2
Solve t**5/4 - t**4 + t**3/4 + 7*t**2/2 - 5*t + 2 = 0 for t.
-2, 1, 2
Solve -9*k**5/2 - 137*k**4/2 + 301*k**3/2 - 155*k**2/2 = 0.
-155/9, 0, 1
Factor -5*m**2 + 150*m - 1045.
-5*(m - 19)*(m - 11)
Factor 3*q**4 - 30*q**3 - 69*q**2 + 720*q + 1728.
3*(q - 8)**2*(q + 3)**2
Find g such that 2*g**2/9 + 104*g/9 - 448/9 = 0.
-56, 4
Factor -5*s**5 - 405*s**4 - 7995*s**3 + 8405*s**2.
-5*s**2*(s - 1)*(s + 41)**2
Factor -19*c**3/3 - 5*c**2 + 14*c - 8/3.
-(c - 1)*(c + 2)*(19*c - 4)/3
Solve -2*n**5/7 - 8*n**4/7 + 4*n**3/7 + 24*n**2/7 - 18*n/7 = 0 for n.
-3, 0, 1
Factor 2*p**3 + 970*p**2 - 972*p.
2*p*(p - 1)*(p + 486)
Factor -3*n**5 + 117*n**4 - 114*n**3.
-3*n**3*(n - 38)*(n - 1)
Factor -x**4/6 + 69*x**3/2 - 103*x**2/3.
-x**2*(x - 206)*(x - 1)/6
Factor -6*n**3 + 274*n**2 + 668*n + 192.
-2*(n - 48)*(n + 2)*(3*n + 1)
Find d such that d**4 + 1403*d**3 + 655668*d**2 + 101846160*d - 102503232 = 0.
-468, 1
Suppose 20*d**2 - 7805*d + 1950 = 0. What is d?
1/4, 390
Factor -j**3 - 44*j**2 - 189*j + 7290.
-(j - 10)*(j + 27)**2
What is u in 3*u**5/7 + 125*u**4/7 + 523*u**3/7 + 171*u**2/7 - 526*u/7 - 296/7 = 0?
-37, -4, -1, -2/3, 1
Solve -3*q**4 - 213*q**3 - 411*q**2 + 213*q + 414 = 0 for q.
-69, -2, -1, 1
Solve 3*n**4 + 30*n**3 - 36*n**2 - 30*n + 33 = 0.
-11, -1, 1
Let -m**3 - 155*m**2 + 322*m + 1256 = 0. What is m?
-157, -2, 4
Factor -3*o**3 + 15*o**2 + 138*o + 120.
-3*(o - 10)*(o + 1)*(o + 4)
Find i such that -2*i**2/11 + 834*i/11 = 0.
0, 417
Solve -3*s**4/8 - 3*s**3/2 + 33*s**2/8 - 9*s/4 = 0.
-6, 0, 1
Factor 4*v**4 - 20*v**3 - 24*v**2 + 128*v + 128.
4*(v - 4)**2*(v + 1)*(v + 2)
Factor 5*g**2 + 155*g.
5*g*(g + 31)
Let -3*r**3/2 - 579*r**2 - 2307*r/2 - 576 = 0. What is r?
-384, -1
Factor 2*x**3 + 204*x**2 - 206*x.
2*x*(x - 1)*(x + 103)
Factor 5*a**2 - 20*a + 15.
5*(a - 3)*(a - 1)
Find i such that 3*i**2 - 78*i + 264 = 0.
4, 22
Determine v so that -v**2/10 + 59*v/10 + 93/5 = 0.
-3, 62
Determine f so that 2*f**5 + 6*f**4 - 20*f**3 - 40*f**2 + 48*f + 64 = 0.
-4, -2, -1, 2
Factor -k**3 - 350*k**2 + 2127*k - 3204.
-(k - 3)**2*(k + 356)
Factor 2*g**3 + 4*g**2 - 2*g - 4.
2*(g - 1)*(g + 1)*(g + 2)
Solve 4*j**3/7 + 158*j**2/7 - 2122*j/7 - 1100/7 = 0 for j.
-50, -1/2, 11
Factor l**4/4 - 7*l**3/4 - 41*l**2/4 - 33*l/4.
l*(l - 11)*(l + 1)*(l + 3)/4
Let -6*z**3/11 + 182*z**2/11 - 60*z/11 = 0. What is z?
0, 1/3, 30
Suppose -2*s**5/7 + 6*s**4/7 - 4*s**3/7 = 0. Calculate s.
0, 1, 2
Determine t, given that -t**4/5 + 391*t**3/5 - 39927*t**2/5 + 66277*t - 291848/5 = 0.
1, 8, 191
Find o such that -6*o**4 + 225*o**3 + 852*o**2 + 369*o = 0.
-3, -1/2, 0, 41
What is l in -2*l**5/9 + 32*l**4/9 - 122*l**3/9 - 100*l**2/9 + 448*l/9 - 256/9 = 0?
-2, 1, 8
Determine w, given that 4*w**4 + 124*w**3 - 724*w**2 - 124*w + 720 = 0.
-36, -1, 1, 5
Suppose -3*v**3/4 + 105*v**2/4 - 1161*v/4 + 4131/4 = 0. Calculate v.
9, 17
Let 5*i**4 - 5*i**3 - 15*i**2 + 5*i + 10 = 0. Calculate i.
-1, 1, 2
Suppose -q**5/2 + 5*q**4/2 - 5*q**3/2 - 5*q**2/2 + 3*q = 0. What is q?
-1, 0, 1, 2, 3
Suppose -4*f**3 + 504*f**2 - 15876*f = 0. What is f?
0, 63
Find n, given that -2*n**3 + 434*n**2 - 432*n = 0.
0, 1, 216
Factor -f**2/3 + 6*f + 19/3.
-(f - 19)*(f + 1)/3
Solve o**5 + 5*o**4 - 7*o**3 - 5*o**2 + 6*o = 0.
-6, -1, 0, 1
Factor 5*u**4 + 72*u**3 + 93*u**2 + 26*u.
u*(u + 1)*(u + 13)*(5*u + 2)
Find y such that y**5/3 - 35*y**4/3 + 139*y**3 - 1885*y**2/3 + 2366*y/3 = 0.
0, 2, 7, 13
Suppose 5*d**5 - 140*d**3 - 80*d**2 + 960*d + 1280 = 0. What is d?
-4, -2, 4
Suppose 2*p**2/5 + 84*p/5 + 128 = 0. What is p?
-32, -10
Determine x so that 100*x**4 - 3608*x**3 + 288*x**2 = 0.
0, 2/25, 36
Factor -2*j**2/3 - 320*j/3 - 632/3.
-2*(j + 2)*(j + 158)/3
Let 4*u**2/7 - 60*u/7 = 0. What is u?
0, 15
Solve m**3/4 + 3*m**2/2 - 24*m - 160 = 0.
-8, 10
Determine i, given that 3*i**3 - 3*i**2 - 132*i + 252 = 0.
-7, 2, 6
Factor 3*p**2/2 + 1158*p + 223494.
3*(p + 386)**2/2
Solve 5*d**3 + 5*d**2 - 105*d - 225 = 0 for d.
-3, 5
Factor 4*y**4 - 21*y**3 - 18*y**2.
y**2*(y - 6)*(4*y + 3)
Factor 5*b**2 + 10*b - 15.
5*(b - 1)*(b + 3)
Factor 100*z**4 - 1130*z**3 + 856*z**2 - 168*z.
2*z*(2*z - 21)*(5*z - 2)**2
Solve 4*y**5 + 