*2/3 - 16*y - 24 = 0.
-1, 1, 6
Factor -2*j**3 + 14*j**2 + 2*j - 14.
-2*(j - 7)*(j - 1)*(j + 1)
Factor -5*i**2 + 5*i + 210.
-5*(i - 7)*(i + 6)
Determine p so that 8*p**5 + 52*p**4 - 60*p**3 - 500*p**2 + 500*p = 0.
-5, 0, 1, 5/2
Find n such that 3*n**3/2 + 513*n**2 + 1017*n/2 - 1023 = 0.
-341, -2, 1
Suppose -u**5/6 - 5*u**4/3 - 10*u**3/3 + 5*u**2/3 + 7*u/2 = 0. Calculate u.
-7, -3, -1, 0, 1
Factor -2*b**5/13 - 48*b**4/13 + 792*b**3/13 - 2592*b**2/13.
-2*b**2*(b - 6)**2*(b + 36)/13
Factor -i**2/5 - 9*i - 416/5.
-(i + 13)*(i + 32)/5
Find o, given that 4*o**5 - 24*o**4 + 16*o**3 + 24*o**2 - 20*o = 0.
-1, 0, 1, 5
Solve -n**3 - 11*n**2 + n + 11 = 0 for n.
-11, -1, 1
Factor -i**2 - 28*i + 533.
-(i - 13)*(i + 41)
Factor -3*c**5/5 + 474*c**4/5 - 471*c**3/5.
-3*c**3*(c - 157)*(c - 1)/5
Suppose 6*i**3/7 - 10272*i**2/7 + 20526*i/7 - 10260/7 = 0. Calculate i.
1, 1710
Find z, given that 2*z**2/13 - 10*z/13 + 8/13 = 0.
1, 4
Factor -5*g**2 - 145*g + 660.
-5*(g - 4)*(g + 33)
Determine l, given that 5*l**4 + 60*l**3 + 135*l**2 - 20*l - 180 = 0.
-9, -2, 1
Determine j so that j**3/6 + 869*j**2/6 = 0.
-869, 0
Factor -z**2 + 174*z + 531.
-(z - 177)*(z + 3)
Factor -5*n**2 - 50*n - 120.
-5*(n + 4)*(n + 6)
Let -4*n**5 + 128*n**4 + 4188*n**3 + 29576*n**2 + 47120*n + 21600 = 0. Calculate n.
-10, -1, 54
Determine d, given that d**4 - 7*d**3 - 25*d**2 + 67*d - 36 = 0.
-4, 1, 9
Find k, given that k**3 + 3*k**2 - 18*k = 0.
-6, 0, 3
Suppose -o**3/9 - 44*o**2/9 - 43*o/9 = 0. Calculate o.
-43, -1, 0
Factor 2*z**2/3 - 244*z/3 - 496/3.
2*(z - 124)*(z + 2)/3
Factor 125*c**4/8 - 22950*c**3 - 27555*c**2 - 11024*c - 1470.
(c - 1470)*(5*c + 2)**3/8
Let d**3 + 13*d**2 + 14*d - 88 = 0. Calculate d.
-11, -4, 2
Factor -2*y**2/3 + 32*y/3 - 10.
-2*(y - 15)*(y - 1)/3
Factor 5*z**4 - 270*z**2 + 1080*z - 1215.
5*(z - 3)**3*(z + 9)
Factor -3*r**3/5 - 162*r**2/5 + 3*r/5 + 162/5.
-3*(r - 1)*(r + 1)*(r + 54)/5
Let 8*o**5/3 - 58*o**4/3 + 158*o**3/3 - 196*o**2/3 + 104*o/3 - 16/3 = 0. What is o?
1/4, 1, 2
Factor -3*t**2 + 9*t + 12.
-3*(t - 4)*(t + 1)
Find o such that -o**5/4 + 7*o**4/2 + 65*o**3/2 + 85*o**2 + 351*o/4 + 63/2 = 0.
-3, -2, -1, 21
Find b such that -2*b**2/9 - 460*b/9 - 26450/9 = 0.
-115
Factor s**2/6 - 181*s/6 - 370/3.
(s - 185)*(s + 4)/6
Factor 5*v**2 - 16090*v + 12944405.
5*(v - 1609)**2
Factor -c**5/7 + 30*c**4/7 - 344*c**3/7 + 1856*c**2/7 - 4608*c/7 + 4096/7.
-(c - 8)**3*(c - 4)*(c - 2)/7
Determine k so that 15*k**3 + 4540*k**2 - 10665*k + 3050 = 0.
-305, 1/3, 2
What is s in -2*s**2/15 + 14*s/3 + 24/5 = 0?
-1, 36
What is m in 5*m**5 - 10*m**4 + 10*m**2 - 5*m = 0?
-1, 0, 1
Factor -4*i**3 - 60*i**2 - 152*i - 96.
-4*(i + 1)*(i + 2)*(i + 12)
Factor 25*i**5 - 160*i**4 + 60*i**3.
5*i**3*(i - 6)*(5*i - 2)
Factor -3*k**4 + 33*k**3 - 108*k**2 + 48*k + 192.
-3*(k - 4)**3*(k + 1)
Factor 5*o**4 + 45*o**3 - 20*o**2 - 180*o.
5*o*(o - 2)*(o + 2)*(o + 9)
Determine o so that 5*o**5 + 15*o**4 - 5*o**3 - 15*o**2 = 0.
-3, -1, 0, 1
Factor -4*t**3 + 32*t**2 - 60*t.
-4*t*(t - 5)*(t - 3)
Let -s**5/4 + 955*s**4/4 - 229435*s**3/4 + 682585*s**2/4 - 170170*s + 56644 = 0. Calculate s.
1, 476
Factor 2*y**3 + 34*y**2 - 160*y + 168.
2*(y - 2)**2*(y + 21)
Factor l**3/6 + 5*l**2/6 - 2*l - 6.
(l - 3)*(l + 2)*(l + 6)/6
Suppose -7*r**5/6 + 59*r**4/6 + 16*r**3/3 - 116*r**2 - 120*r + 72 = 0. What is r?
-2, 3/7, 6
Factor 5*p**2 - 8620*p + 3715220.
5*(p - 862)**2
Factor 2*u**2/7 + 62*u/7 - 40.
2*(u - 4)*(u + 35)/7
Factor 8*m**4/9 + 98*m**3/9 + 400*m**2/9 + 544*m/9.
2*m*(m + 4)**2*(4*m + 17)/9
Solve x**2/5 - 3*x/5 + 2/5 = 0 for x.
1, 2
Factor -4*a**3 + 372*a**2 + 756*a + 380.
-4*(a - 95)*(a + 1)**2
Factor -r**3/3 + 10*r**2/3 + 27*r - 30.
-(r - 15)*(r - 1)*(r + 6)/3
Solve -w**4/4 + 49*w**3 - 4899*w**2/2 + 4753*w - 9409/4 = 0 for w.
1, 97
Determine u, given that -148*u**3 + 292*u**2 + 8*u = 0.
-1/37, 0, 2
Find l such that l**4/8 - 3*l**3/8 - 175*l**2/8 + 963*l/8 + 567/4 = 0.
-14, -1, 9
Factor o**2 + o.
o*(o + 1)
Factor -2*z**2/13 + 154*z/13 - 2124/13.
-2*(z - 59)*(z - 18)/13
Find q, given that -4*q**2 + 4352*q - 1183744 = 0.
544
Find l, given that -25*l**4 + 320*l**3 - 740*l**2 + 400*l = 0.
0, 4/5, 2, 10
Let -98*t**5 - 1232*t**4 - 5384*t**3 - 9056*t**2 - 3968*t - 512 = 0. What is t?
-4, -2/7
Find o such that -4*o**4 + 112*o**3 + 116*o**2 = 0.
-1, 0, 29
Factor b**4/2 + 21*b**3/2 + 57*b**2/2 + 55*b/2 + 9.
(b + 1)**3*(b + 18)/2
Factor 2*o**4 + 8*o**3 + 2*o**2 - 12*o.
2*o*(o - 1)*(o + 2)*(o + 3)
Suppose -l**5/7 + 12*l**4/7 + 282*l**3/7 - 3076*l**2/7 - 6945*l/7 - 3600/7 = 0. Calculate l.
-16, -1, 15
Solve -2*r**2/7 - 44*r/7 = 0.
-22, 0
Suppose n**2/5 - 11*n/5 + 18/5 = 0. Calculate n.
2, 9
What is h in -h**4/2 - 13*h**3 - 72*h**2 + 325*h + 4225/2 = 0?
-13, -5, 5
Find b, given that -3*b**3 + 597*b**2 + 1812*b + 1212 = 0.
-2, -1, 202
Solve 3*c**2 + 1320*c - 1323 = 0.
-441, 1
Factor -r**4 - 217*r**3 - 11430*r**2 + 38500*r + 121000.
-(r - 5)*(r + 2)*(r + 110)**2
Determine w so that -w**2/7 + w/7 + 30 = 0.
-14, 15
Factor 4*l**4 - 68*l**3 - 520*l**2 - 736*l.
4*l*(l - 23)*(l + 2)*(l + 4)
Find t, given that -7*t**5/4 - 11*t**4 - 75*t**3/4 - 23*t**2/2 - 2*t = 0.
-4, -1, -2/7, 0
Factor 16*f**4 + 96*f**3 + 148*f**2 + 84*f + 16.
4*(f + 1)*(f + 4)*(2*f + 1)**2
Factor 2*c**3/9 + 296*c**2/9 + 2222*c/9 - 280.
2*(c - 1)*(c + 9)*(c + 140)/9
Solve j**2/5 + 21*j/5 + 22 = 0 for j.
-11, -10
Let -2*v**5/9 + 2*v**4/3 - 4*v**3/9 - 4*v**2/9 + 2*v/3 - 2/9 = 0. Calculate v.
-1, 1
Determine h, given that h**4/4 - 15*h**3/4 - 41*h**2/4 + 123*h/4 - 17 = 0.
-4, 1, 17
Factor -4*i**4/7 - 4*i**3 - 72*i**2/7 - 80*i/7 - 32/7.
-4*(i + 1)*(i + 2)**3/7
Factor -3*m**3/4 - 93*m**2/4 - 63*m.
-3*m*(m + 3)*(m + 28)/4
Solve -21*q**5 - 90*q**4 + 354*q**3 + 2376*q**2 + 3483*q + 810 = 0 for q.
-3, -2/7, 5
Solve -p**3/3 - 4*p**2/3 + 11*p/3 - 2 = 0 for p.
-6, 1
Factor -3*t**2 + 3501*t/7 + 1002/7.
-3*(t - 167)*(7*t + 2)/7
Solve -7*l**2 - 204*l = 0.
-204/7, 0
Solve 2*h**4 + 2*h**3 - 2*h**2 - 2*h = 0.
-1, 0, 1
Factor 12*n**2 + 3*n.
3*n*(4*n + 1)
Let -k**2/4 - 187*k/4 - 183 = 0. Calculate k.
-183, -4
Factor 2*j**2 + 122*j.
2*j*(j + 61)
Solve 3*v**3 + 63*v**2 + 441*v + 1029 = 0.
-7
Factor 2*s**4/9 - 4*s**3/9 - 46*s**2/9 + 40*s/3.
2*s*(s - 4)*(s - 3)*(s + 5)/9
Suppose -3*v**3 + 405*v**2 - 18225*v + 273375 = 0. What is v?
45
Let d**3/5 - 2*d**2/5 + d/5 = 0. Calculate d.
0, 1
What is z in -2*z**3/7 + 76*z**2/7 - 72*z + 720/7 = 0?
2, 6, 30
Let 105*o**5 - 220*o**4 - 295*o**3 + 870*o**2 - 500*o + 40 = 0. What is o?
-2, 2/21, 1, 2
Factor -k**3 + 244*k**2 + 992*k.
-k*(k - 248)*(k + 4)
Determine f so that -6*f**4/5 - 532*f**3/5 - 4288*f**2/5 - 10304*f/5 - 1024 = 0.
-80, -4, -2/3
Determine f, given that -5*f**4 + 25*f**3 + 155*f**2 + 215*f + 90 = 0.
-2, -1, 9
Factor o**3 - 5*o**2 + 3*o + 9.
(o - 3)**2*(o + 1)
Factor -12*q**2/5 - 51*q/5 - 54/5.
-3*(q + 2)*(4*q + 9)/5
Factor 4*a**2 + 56*a.
4*a*(a + 14)
Suppose 2*q**4/19 - 226*q**3/19 + 1500*q**2/19 - 1664*q/19 - 3392/19 = 0. Calculate q.
-1, 4, 106
Let -2*g**5/9 - 2*g**4 - 10*g**3/3 - 14*g**2/9 = 0. What is g?
-7, -1, 0
Determine a so that a**4/2 + a**3 = 0.
-2, 0
Factor 2*f**2/3 + 550*f/3.
2*f*(f + 275)/3
Find n such that -22*n**4/7 + 12*n**3 = 0.
0, 42/11
Find l, given that -l**3 + 58*l**2 - 211*l - 270 = 0.
-1, 5, 54
Factor 4*o**2 + 8456*o + 4468996.
4*(o + 1057)**2
Factor 4*d**3 - 44*d**2 + 140*d - 100.
4*(d - 5)**2*(d - 1)
Factor -3*v**3 + 15*v**2 + 231*v - 1323.
-3*(v - 7)**2*(v + 9)
Suppose 5*x**2 + 410*x + 405 = 0. What is x?
-81, -1
Let -375*p**5/8 + 210*p**4 - 1857*p**3/8 + 147*p**2/2 - 9*p/2 = 0. What is p?
0, 2/25, 2/5, 1, 3
Factor -4*j**3 - 40*j**2.
-4*j**2*(j + 10)
Determine q so that -2*q**3/5 - 104*q**2/5 - 1536*q/5 - 4608/5 = 0.
-24, -4
Let r**2 - 13*r + 12 = 0. Calculate r.
1, 12
Factor -2*g**3/5 - 1090*g**2 - 10894*g/5 - 5446/5.
-2*(g + 1)**2*(g + 2723)/5
Determine i so that -3*i**5/4 - 165*i**4/4 + 345*i**3/4 + 165*i**2/4 - 171*i/2 = 0.
-57, -1, 0, 1, 2
Let 3*i**3/2 - 15*i**2 + 39*i/2 + 36 = 0. Calculate i.
-1, 3, 8
Determine c, given that 2*c**2/13 + 5128*c/13 + 3287048/13 = 0.
-1282
Factor -2*w**5 + 280*w**4 - 13248*w**3 + 220064*w**2 - 389344*w.
-2*w*(w - 46)**3*(w - 2)
Factor 4*j**3/5 - 58*j**2/15 - 82*j/15 - 4/5.
2*(j - 6)*(j + 1)*(6*j + 1)/15
Factor m**2/3 - 26*m/3 + 25/3.
(m - 25)*(m - 1)/3
Factor -4*h**2 - 29544*h - 