- 20*l**3 - 10*l**2 + 60*l + 45.
5*(l - 3)**2*(l + 1)**2
Determine l so that -65*l**5/3 - 38*l**4 + 335*l**3/3 + 96*l**2 + 12*l = 0.
-3, -3/5, -2/13, 0, 2
Factor -d**2/2 + 60*d - 1800.
-(d - 60)**2/2
Solve 2*z**3 - 64*z**2 + 442*z - 644 = 0.
2, 7, 23
Let -3*v**4 + 33*v**3 - 33*v**2 - 177*v - 108 = 0. What is v?
-1, 4, 9
Let 20*l**3 + 1556*l**2 + 1228*l - 308 = 0. What is l?
-77, -1, 1/5
What is w in 9*w**2 - 24*w - 9 = 0?
-1/3, 3
Factor -5*p**2 + 1800*p - 162000.
-5*(p - 180)**2
Determine j, given that -2*j**4/3 - 10*j**3/3 = 0.
-5, 0
Suppose 2*l**3/5 - 2*l**2 - 2*l/5 + 2 = 0. Calculate l.
-1, 1, 5
Factor 4*b**2 + 72*b.
4*b*(b + 18)
Let -h**2/6 + 5*h/6 - 1 = 0. What is h?
2, 3
Suppose 2*z**2/7 - 200*z/7 + 5000/7 = 0. What is z?
50
Determine p so that -p**3/5 + 378*p**2 - 3777*p/5 + 1888/5 = 0.
1, 1888
Let -p**4/9 + 5*p**3/3 - 3*p**2 + 13*p/9 = 0. What is p?
0, 1, 13
Factor -2*y**5/3 + 8*y**4/3 - 2*y**3.
-2*y**3*(y - 3)*(y - 1)/3
Suppose -3*o**2/5 - 39*o - 558/5 = 0. Calculate o.
-62, -3
Factor -k**5/6 + 47*k**4/2 - 70*k**3/3.
-k**3*(k - 140)*(k - 1)/6
Determine z so that -4*z**5 + 84*z**4 - 80*z**3 = 0.
0, 1, 20
Let -3*q**2 - 51*q + 54 = 0. What is q?
-18, 1
Factor -5*j**2/2 - 135*j/2 + 70.
-5*(j - 1)*(j + 28)/2
Determine r so that 2*r**4 + 8*r**3 + 4*r**2 - 8*r - 6 = 0.
-3, -1, 1
Determine v, given that 7*v**4 - 89*v**3 - 33*v**2 + 89*v + 26 = 0.
-1, -2/7, 1, 13
Solve 50*b**3/3 - 90*b**2 + 88*b + 64/3 = 0.
-1/5, 8/5, 4
Factor -3*o**2 - 59*o - 90.
-(o + 18)*(3*o + 5)
Factor d**4 - 37*d**3 + 66*d**2 + 148*d - 280.
(d - 35)*(d - 2)**2*(d + 2)
Let -5*x**3 - 5*x**2 + 505*x - 495 = 0. Calculate x.
-11, 1, 9
Factor d**5/2 + 2*d**4 - 8*d**3 - 8*d**2 + 24*d.
d*(d - 2)**2*(d + 2)*(d + 6)/2
Factor 91*a**2/6 - 1243*a/2 - 41/3.
(a - 41)*(91*a + 2)/6
Factor -v**2 - 11*v + 26.
-(v - 2)*(v + 13)
Factor 47628*w**4 + 13608*w**3 + 720*w**2 + 32*w/3.
4*w*(9*w + 2)*(63*w + 2)**2/3
Factor w**3/12 + 7*w**2/2 + 83*w/3 - 70.
(w - 2)*(w + 14)*(w + 30)/12
Factor y**3 + 244*y**2 + 14884*y.
y*(y + 122)**2
What is m in -m**3/3 + 10*m**2/3 + m/3 - 10/3 = 0?
-1, 1, 10
Determine r so that 2*r**4/7 - 20*r**3/7 + 6*r**2 = 0.
0, 3, 7
Let -4*g**4/3 + 88*g**3/3 + 32*g**2 - 88*g/3 - 92/3 = 0. Calculate g.
-1, 1, 23
Factor -2*m**3/5 - 2*m**2/5.
-2*m**2*(m + 1)/5
Suppose 2*n**4 - 54*n**3 + 48*n**2 + 104*n = 0. Calculate n.
-1, 0, 2, 26
Determine n, given that 5*n**2 - 6760*n + 2284880 = 0.
676
Determine x so that 5*x**4 + 70*x**3 + 65*x**2 = 0.
-13, -1, 0
Find q, given that -2*q**2/9 - 218*q/9 + 224/3 = 0.
-112, 3
Let -2*g**2/13 - 120*g/13 - 118/13 = 0. What is g?
-59, -1
Find f, given that 4*f**4/5 + 2056*f**3 - 30864*f**2/5 + 30872*f/5 - 10292/5 = 0.
-2573, 1
Factor y**4 + y**3/2 - 3*y**2 + y/2 + 1.
(y - 1)**2*(y + 2)*(2*y + 1)/2
Factor -t**2/6 - 37*t/3 - 24.
-(t + 2)*(t + 72)/6
Factor -20*x**2 + 235*x/2 + 15.
-5*(x - 6)*(8*x + 1)/2
What is u in -u**4 - 6*u**3 + 55*u**2 = 0?
-11, 0, 5
Factor -4*f**4 + 3*f**3 + 9*f**2 + 2*f.
-f*(f - 2)*(f + 1)*(4*f + 1)
Suppose 2*u**5/7 + 110*u**4/7 + 94*u**3/7 - 758*u**2/7 - 96*u/7 + 648/7 = 0. What is u?
-54, -3, -1, 1, 2
Solve -2*m**2/3 - 14*m + 44/3 = 0 for m.
-22, 1
Factor 3*s**3/7 - 45*s**2 + 8721*s/7 - 23409/7.
3*(s - 51)**2*(s - 3)/7
Factor t**3 + 18*t**2 + 17*t.
t*(t + 1)*(t + 17)
Let -5*n**4 - 10*n**3 + 100*n**2 + 330*n + 225 = 0. What is n?
-3, -1, 5
Suppose -4*a**2 - 44*a = 0. Calculate a.
-11, 0
Factor -2*y**2 - 46*y + 496.
-2*(y - 8)*(y + 31)
Suppose k**5/3 - k**4/3 - 11*k**3/3 + 29*k**2/3 - 26*k/3 + 8/3 = 0. Calculate k.
-4, 1, 2
Suppose -i**2/3 + 356*i = 0. What is i?
0, 1068
What is f in f**2/3 - 5*f + 56/3 = 0?
7, 8
Factor 4*v**3 - 424*v**2 - 864*v.
4*v*(v - 108)*(v + 2)
Factor -2*s**5 + 18*s**4 + 66*s**3 + 70*s**2 + 24*s.
-2*s*(s - 12)*(s + 1)**3
Determine g, given that -50*g**4 - 340*g**3 - 248*g**2 - 48*g = 0.
-6, -2/5, 0
Factor j**2/4 - 5*j/4 + 1.
(j - 4)*(j - 1)/4
Suppose -5*k**2 + 20*k + 160 = 0. Calculate k.
-4, 8
Let 3*i**5/8 - 15*i**4/4 + 21*i**3/2 - 15*i**2/4 - 87*i/8 + 15/2 = 0. What is i?
-1, 1, 4, 5
Factor -5*d**2 + 290*d + 13795.
-5*(d - 89)*(d + 31)
Let -2*x**5/23 - 18*x**4/23 - 26*x**3/23 + 18*x**2/23 + 28*x/23 = 0. Calculate x.
-7, -2, -1, 0, 1
Factor -d**3 - 61*d**2 + 301*d + 46225.
-(d - 25)*(d + 43)**2
What is p in 2*p**3/11 + 4*p**2 - 50*p/11 - 92/11 = 0?
-23, -1, 2
Determine q, given that -5*q**2 - 110*q - 480 = 0.
-16, -6
Find s, given that -27*s**3/2 - 33*s**2/2 - 3*s = 0.
-1, -2/9, 0
What is b in -24*b**5 - 126*b**4 - 87*b**3 + 126*b**2 - 24*b = 0?
-4, -2, 0, 1/4, 1/2
Factor -3*u**5/4 + 9*u**3/4 - 3*u**2/2.
-3*u**2*(u - 1)**2*(u + 2)/4
Find q, given that -q**4 + 240*q**3 + 246*q**2 - 1208*q + 723 = 0.
-3, 1, 241
Let d**3 + 200*d**2 = 0. Calculate d.
-200, 0
Determine s, given that -2*s**2/5 + 76*s/5 - 722/5 = 0.
19
Find a such that a**2/5 - a + 6/5 = 0.
2, 3
Factor 2*d**4 - 28*d**3 - 8*d**2 + 112*d.
2*d*(d - 14)*(d - 2)*(d + 2)
Solve 2*f**5 - 10*f**4 + 14*f**3 + 2*f**2 - 16*f + 8 = 0.
-1, 1, 2
Factor 6*a**3 + 3*a**2 - 24*a - 12.
3*(a - 2)*(a + 2)*(2*a + 1)
Factor 2*o**4/9 - 16*o**3/3 - 50*o**2/9.
2*o**2*(o - 25)*(o + 1)/9
Let 3*c**2 + 2226*c + 412923 = 0. What is c?
-371
Solve -136*p**3 - 2*p**2/5 = 0.
-1/340, 0
Factor -4*c**4 + 16*c**3 + 12*c**2 - 40*c - 32.
-4*(c - 4)*(c - 2)*(c + 1)**2
Factor -8*z**2 + 20*z + 100.
-4*(z - 5)*(2*z + 5)
Solve -2*i**2/13 + 274*i/13 - 272/13 = 0.
1, 136
Find b such that b**3/6 - 23*b**2/6 + 43*b/6 - 7/2 = 0.
1, 21
What is q in -q**3 + 30*q**2 - 57*q + 28 = 0?
1, 28
Determine z, given that -405*z**4/2 - 1395*z**3/4 + 265*z**2/2 + 165*z/4 + 5/2 = 0.
-2, -1/9, 1/2
Factor -245*z**5 + 140*z**4 - 20*z**3.
-5*z**3*(7*z - 2)**2
Factor 3*n**2/5 - 21*n/5 - 234/5.
3*(n - 13)*(n + 6)/5
Factor 2*h**2/7 - 12*h/7 - 80/7.
2*(h - 10)*(h + 4)/7
Factor -627*t**2/2 + 999*t/2 + 48.
-3*(11*t + 1)*(19*t - 32)/2
Factor v**5/4 - 139*v**4/4 - 423*v**3/4 - 425*v**2/4 - 71*v/2.
v*(v - 142)*(v + 1)**3/4
Factor 2*c**2/3 + 30*c + 88/3.
2*(c + 1)*(c + 44)/3
Find a, given that a**2 - 79*a = 0.
0, 79
Factor i**3/2 + 6*i**2 + 45*i/2 + 27.
(i + 3)**2*(i + 6)/2
Determine k, given that 4*k**2/5 + 2*k/5 - 6 = 0.
-3, 5/2
Factor -4*d**2/9 - 136*d/9 - 256/9.
-4*(d + 2)*(d + 32)/9
Factor -2*n**2 - 86*n/7 + 228/7.
-2*(n - 2)*(7*n + 57)/7
Find f, given that 4*f**5 - 108*f**4 + 616*f**3 + 1320*f**2 - 4076*f + 2244 = 0.
-3, 1, 11, 17
Let -t**2/6 + 29*t/3 - 55/2 = 0. What is t?
3, 55
Factor -d**3 + 502*d**2 + 1513*d + 1010.
-(d - 505)*(d + 1)*(d + 2)
Factor 2*u**2/3 - 40*u/3 - 64.
2*(u - 24)*(u + 4)/3
Solve -3*p**3/7 + 414*p**2/7 - 19044*p/7 + 292008/7 = 0.
46
Determine y, given that y**2/6 - 29*y - 175/6 = 0.
-1, 175
Suppose 3*x**3 + 51*x**2 + 213*x + 165 = 0. What is x?
-11, -5, -1
Factor -p**4 + 20*p**3 + p**2 - 20*p.
-p*(p - 20)*(p - 1)*(p + 1)
Suppose -7*j**5 + 73*j**4 - 186*j**3/7 - 236*j**2/7 - 40*j/7 = 0. Calculate j.
-2/7, 0, 1, 10
Solve -2*x**3 - 100*x**2 = 0 for x.
-50, 0
Find q, given that 3*q**3/7 + 3*q**2 + 48*q/7 + 36/7 = 0.
-3, -2
What is q in 4*q**3 - 96*q**2 - 960*q + 25600 = 0?
-16, 20
Let -5*n**5 + 10*n**4 + 45*n**3 - 10*n**2 - 40*n = 0. What is n?
-2, -1, 0, 1, 4
Factor v**4 + 29*v**3 + 55*v**2 + 27*v.
v*(v + 1)**2*(v + 27)
Determine q so that 5*q**3 - 10*q**2 - 495*q = 0.
-9, 0, 11
Factor l**2/4 + 54*l + 215/4.
(l + 1)*(l + 215)/4
Factor 2*z**3/13 + 294*z**2/13 + 14406*z/13 + 235298/13.
2*(z + 49)**3/13
Factor 5*t**5 - 65*t**4 + 210*t**3 - 290*t**2 + 185*t - 45.
5*(t - 9)*(t - 1)**4
Let -a**4/2 - 27*a**3/2 = 0. Calculate a.
-27, 0
Factor -10*c**4 - 5*c**3 + 5*c**2.
-5*c**2*(c + 1)*(2*c - 1)
Factor 4*c**2/3 + 736*c/3 + 724.
4*(c + 3)*(c + 181)/3
Find u, given that -6*u**3/7 + 2*u**2/7 + 96*u/7 - 32/7 = 0.
-4, 1/3, 4
Factor 3*g**4 - 18*g**3 - 597*g**2 + 1872*g.
3*g*(g - 16)*(g - 3)*(g + 13)
Determine a, given that 10*a**5 - 206*a**4 - 94*a**3 + 206*a**2 + 84*a = 0.
-1, -2/5, 0, 1, 21
Factor 3*k**3/5 - 78*k**2/5 - 33*k - 84/5.
3*(k - 28)*(k + 1)**2/5
Find l such that -l**3 - 189*l**2 - 9207*l - 25947 = 0.
-93, -3
Find g, given that g**4 + 29*g**3 + 297*g**2 + 1215*g + 1458 = 0.
-9, -2
Let -2*p**2/9 + 1340*p/9 - 224450/9 = 0. Calculate p.
335
Find w, given that -w**5 - 4*w**4 + 17*w**3 + 68*w**2 - 16*w - 64 = 0.
-4, -1, 1, 4
Factor 2*v**2 + 74*v + 72.
2*(v + 1)*(v + 36)
Suppose -4*a**2 - 968*a - 58