, 3
Factor 867*c**3 + 510*c**2 - 2016*c + 864.
3*(c + 2)*(17*c - 12)**2
Factor 190*c**3 - 571*c**2 + c + 6.
(c - 3)*(10*c + 1)*(19*c - 2)
Factor 2*c**3/5 + 34*c**2/5 - 116*c/5 + 16.
2*(c - 2)*(c - 1)*(c + 20)/5
Determine n, given that -2*n**4/9 - 10*n**3 - 88*n**2/9 = 0.
-44, -1, 0
Solve -22*b**3 - 70*b**2 + 2364*b + 432 = 0 for b.
-12, -2/11, 9
Let 3*n**4/8 - 15*n**3/8 - 315*n**2/8 + 675*n/8 + 243/2 = 0. Calculate n.
-9, -1, 3, 12
Find b such that 4*b**2 - 15992*b + 15984004 = 0.
1999
Solve 3*l**2 + 387*l - 390 = 0 for l.
-130, 1
Let -h**4/3 - 25*h**3/6 - 27*h**2/2 - 9*h/2 + 45/2 = 0. What is h?
-15/2, -3, 1
Suppose 2*d**3/13 - 384*d**2/13 - 2*d/13 + 384/13 = 0. Calculate d.
-1, 1, 192
Factor -j**2/5 - 37*j/5 - 42.
-(j + 7)*(j + 30)/5
Solve -8*n**4 + 34*n**3 + 16*n**2 - 150*n + 36 = 0.
-2, 1/4, 3
Factor r**3/4 + r**2/4 - 5*r/4 + 3/4.
(r - 1)**2*(r + 3)/4
Let -5*d**2 - 565*d - 2700 = 0. Calculate d.
-108, -5
Suppose -2*d**3/13 + 450*d**2/13 + 908*d/13 = 0. Calculate d.
-2, 0, 227
Find b, given that 2*b**2 + 146*b + 420 = 0.
-70, -3
Suppose -v**4/2 - 17*v**3/2 - 71*v**2/2 + 17*v/2 + 36 = 0. What is v?
-9, -8, -1, 1
Factor -68921*l**3/5 + 15129*l**2/5 - 1107*l/5 + 27/5.
-(41*l - 3)**3/5
What is q in -q**2 + 146*q - 5329 = 0?
73
Suppose -2*v**3/3 + 16*v**2 - 30*v + 44/3 = 0. Calculate v.
1, 22
Factor 2*u**3/7 + 86*u**2/7 + 640*u/7 + 136.
2*(u + 2)*(u + 7)*(u + 34)/7
Let 19*k**4 - 74*k**3 + 11*k**2 + 116*k + 12 = 0. Calculate k.
-1, -2/19, 2, 3
Factor -5*y**5 + 45*y**4 + 320*y**3 + 440*y**2 - 240*y - 560.
-5*(y - 14)*(y - 1)*(y + 2)**3
Factor 2*u**2/5 - 24*u/5 - 34.
2*(u - 17)*(u + 5)/5
Factor -2*r**4 + 12*r**3 - 18*r**2.
-2*r**2*(r - 3)**2
Let 5*m**4 + 5*m**3 - 30*m**2 - 20*m + 40 = 0. What is m?
-2, 1, 2
Solve 3*t**5 - 174*t**4/7 + 300*t**3/7 - 72*t**2/7 = 0 for t.
0, 2/7, 2, 6
Factor 2*g**3/7 - 8*g**2/7 - 10*g/7.
2*g*(g - 5)*(g + 1)/7
Suppose -b**3 + 33*b**2 - 63*b + 31 = 0. What is b?
1, 31
Solve 2*a**2 + 52*a + 96 = 0 for a.
-24, -2
Factor 6*b**2/5 + 2949*b/5 - 1476/5.
3*(b + 492)*(2*b - 1)/5
Find h, given that 4*h**4/3 + 12*h**3 + 80*h**2/3 + 16*h = 0.
-6, -2, -1, 0
Factor -2*i**2/3 - 158*i/3 - 52.
-2*(i + 1)*(i + 78)/3
What is k in 4*k**3 - 16*k**2 - 116*k - 96 = 0?
-3, -1, 8
Determine v, given that 5*v**3 + 645*v**2 - 2685*v - 3325 = 0.
-133, -1, 5
Factor -2*u**3 - 4*u**2 + 2*u + 4.
-2*(u - 1)*(u + 1)*(u + 2)
Solve -2*i**5/5 - 12*i**4/5 + 4*i**3 + 104*i**2/5 - 42*i + 20 = 0 for i.
-5, 1, 2
Suppose 3*k**4/8 - 3*k**3/2 - 75*k**2/8 + 21*k/2 = 0. Calculate k.
-4, 0, 1, 7
Factor -5*p**2 - 13345*p - 13340.
-5*(p + 1)*(p + 2668)
Factor 2*m**5/7 + 4*m**4 + 108*m**3/7 + 176*m**2/7 + 130*m/7 + 36/7.
2*(m + 1)**3*(m + 2)*(m + 9)/7
Factor -f**2 - 28*f + 29.
-(f - 1)*(f + 29)
Factor -5*d**2 + 30*d + 275.
-5*(d - 11)*(d + 5)
Solve -n**3/8 - n**2/2 - n/8 + 3/4 = 0.
-3, -2, 1
Factor 2*k**3 + 144*k**2 + 274*k - 420.
2*(k - 1)*(k + 3)*(k + 70)
Solve 5*k**2/2 + 55*k/2 - 30 = 0 for k.
-12, 1
Let -4*k**2 - 444*k + 1368 = 0. Calculate k.
-114, 3
Let -k**5 + 64*k**4 - 240*k**3 = 0. Calculate k.
0, 4, 60
Solve -2*g**4/13 - 474*g**3/13 - 35916*g**2/13 - 739640*g/13 + 9924624/13 = 0 for g.
-82, 9
Factor z**4/8 + 3*z**3/2 - 59*z**2/8 + 39*z/4 - 4.
(z - 2)*(z - 1)**2*(z + 16)/8
Suppose d**4/5 + 2*d**3/5 - 91*d**2/5 - 92*d/5 + 36 = 0. What is d?
-10, -2, 1, 9
Factor -g**2 + 1500*g - 562500.
-(g - 750)**2
Factor 3*g**2 + 177*g - 180.
3*(g - 1)*(g + 60)
Suppose 6*b**4 + 237*b**3 + 2511*b**2 + 3363*b + 1083 = 0. Calculate b.
-19, -1, -1/2
Find q such that -2*q**2/15 - 196*q/15 - 4802/15 = 0.
-49
Let c**2/2 - 215*c + 46225/2 = 0. Calculate c.
215
Factor 4*r**3 + 92*r**2 - 212*r - 300.
4*(r - 3)*(r + 1)*(r + 25)
Factor -n**5/9 + n**4/3 + 55*n**3/9 + 137*n**2/9 + 14*n + 40/9.
-(n - 10)*(n + 1)**3*(n + 4)/9
Factor 4*a**2/5 - 116*a/5 + 312/5.
4*(a - 26)*(a - 3)/5
Factor 2*u**5/7 + 22*u**4/7 + 96*u**3/7 + 208*u**2/7 + 32*u + 96/7.
2*(u + 2)**4*(u + 3)/7
What is j in -16*j**5 - 196*j**4 + 624*j**3 - 536*j**2 + 64*j + 60 = 0?
-15, -1/4, 1
Find j such that -5*j**2 + 40*j - 80 = 0.
4
Factor -u**2/9 + 3310*u/9 - 2739025/9.
-(u - 1655)**2/9
Factor 3*f**3/4 - 258*f**2 + 2055*f/4 - 513/2.
3*(f - 342)*(f - 1)**2/4
Factor 4*l**2 - 172*l + 480.
4*(l - 40)*(l - 3)
Factor t**2 + 12*t - 45.
(t - 3)*(t + 15)
What is l in 3*l**4 - 333*l**3 + 12321*l**2 - 151959*l = 0?
0, 37
Factor -5*u**3/3 - 95*u**2/3 + 580*u/3 - 160.
-5*(u - 4)*(u - 1)*(u + 24)/3
Determine k so that 16*k**3 + 80*k**2 + 132*k + 72 = 0.
-2, -3/2
Solve -2*i**3 + 20*i**2 - 66*i + 72 = 0 for i.
3, 4
Solve 64*m**5 + 64*m**4 - 180*m**3 - 64*m**2 + 92*m + 24 = 0 for m.
-2, -3/4, -1/4, 1
Factor -g**4/6 - 13*g**3/6 + g**2/2 + 99*g/2 - 81.
-(g - 3)*(g - 2)*(g + 9)**2/6
Solve -z**4/12 + 93*z**3/2 - 78949*z**2/12 + 25761*z - 76729/3 = 0.
2, 277
Let -55*i**2 + 520*i + 1260 = 0. What is i?
-2, 126/11
Factor -5*t**3 - 10*t**2 + 5*t + 10.
-5*(t - 1)*(t + 1)*(t + 2)
Factor 2*x**5/7 - 8*x**4/7 - 24*x**3/7 - 4*x**2/7 + 22*x/7 + 12/7.
2*(x - 6)*(x - 1)*(x + 1)**3/7
Find l such that 2*l**3/11 - 34*l**2/11 - 2*l/11 + 34/11 = 0.
-1, 1, 17
Factor -2*y**4/5 - 14*y**3.
-2*y**3*(y + 35)/5
Factor 2*y**4 + 38*y**3 + 96*y**2 - 8*y - 128.
2*(y - 1)*(y + 2)**2*(y + 16)
Determine d so that -d**4/3 + d**3/3 + 3*d**2 + 11*d/3 + 4/3 = 0.
-1, 4
Find r such that -2*r**3/5 + 82*r**2/5 - 372*r/5 + 432/5 = 0.
2, 3, 36
Find l such that -16*l**2 - 108*l - 72 = 0.
-6, -3/4
Determine r, given that 3*r**2/7 + 276*r/7 + 2241/7 = 0.
-83, -9
Solve -s**3 - 6*s**2 = 0.
-6, 0
Find s such that 4*s**2 + 36*s/7 - 64/7 = 0.
-16/7, 1
Factor -s**2/7 - 3516*s/7 - 3090564/7.
-(s + 1758)**2/7
Factor u**4/5 + u**3/5 - 22*u**2/5 - 8*u.
u*(u - 5)*(u + 2)*(u + 4)/5
Let -3*p**5/7 + 6*p**4/7 + 177*p**3/7 - 180*p**2/7 - 2700*p/7 = 0. Calculate p.
-5, 0, 6
Solve 3*o**3/7 - 48*o**2/7 - 33*o - 180/7 = 0 for o.
-3, -1, 20
Factor -l**4 + 5*l**3/2 + 3*l**2/2.
-l**2*(l - 3)*(2*l + 1)/2
Suppose -3*r**2 - 66*r = 0. What is r?
-22, 0
Factor -h**3/3 - 34*h**2 - 299*h/3 - 66.
-(h + 1)*(h + 2)*(h + 99)/3
Determine k, given that -4*k**2 + 100*k - 336 = 0.
4, 21
Find l, given that -15*l**5/4 - 189*l**4/4 - 87*l**3/4 + 261*l**2/4 + 51*l/2 - 18 = 0.
-12, -1, 2/5, 1
Solve 3*j**3 - 1071*j**2 + 127449*j - 5055477 = 0 for j.
119
Suppose 12*f**2 - 142*f - 154 = 0. What is f?
-1, 77/6
Suppose 5*r**5 - 55*r**4 + 190*r**3 - 200*r**2 = 0. Calculate r.
0, 2, 4, 5
Factor k**2/11 + 207*k/11 - 38.
(k - 2)*(k + 209)/11
What is q in 3*q**3 - 360*q**2 + 14400*q - 192000 = 0?
40
Factor -3*g**3/4 + 9*g**2/2 - 6*g.
-3*g*(g - 4)*(g - 2)/4
Factor -l**3/4 - 3*l**2/2 + 495*l/4 - 847.
-(l - 11)**2*(l + 28)/4
Determine k so that 4*k**5/9 + 8*k**4 + 4*k**3 - 288*k**2 + 576*k = 0.
-12, 0, 3
Factor 2*t**2 - 102*t.
2*t*(t - 51)
Find u such that -5*u**2 - 5*u + 100 = 0.
-5, 4
Determine d so that -2*d**3/7 + 3496*d**2/7 - 1527752*d/7 = 0.
0, 874
Factor 3*l**3 + 84*l**2 + 621*l + 540.
3*(l + 1)*(l + 12)*(l + 15)
Determine u, given that -u**3/2 - 2473*u**2/2 - 765084*u - 763848 = 0.
-1236, -1
Let -h**4/3 - 115*h**3/3 + 117*h**2 - 353*h/3 + 118/3 = 0. What is h?
-118, 1
Factor -b**2/2 - 44*b - 968.
-(b + 44)**2/2
Suppose 3*v**2/7 - 108*v/7 - 228/7 = 0. What is v?
-2, 38
Suppose 3*l**5 - 9*l**4 - 6*l**3 + 36*l**2 - 24*l = 0. Calculate l.
-2, 0, 1, 2
Factor 4*u**3 + 169*u**2 + 42*u.
u*(u + 42)*(4*u + 1)
Let -o**5/2 + 59*o**4/2 - 449*o**3 + 391*o**2 + 899*o/2 - 841/2 = 0. What is o?
-1, 1, 29
Factor 2*p**5/5 - 42*p**4/5 - 416*p**3/5 - 1328*p**2/5 - 1824*p/5 - 928/5.
2*(p - 29)*(p + 2)**4/5
Factor 3*z**4 + 407*z**3 + 270*z**2.
z**2*(z + 135)*(3*z + 2)
What is l in 25*l**5 - 60*l**4 + 5*l**3 + 30*l**2 = 0?
-3/5, 0, 1, 2
What is h in 3*h**2 + 102*h + 720 = 0?
-24, -10
Determine q, given that 3*q**2 - 24*q + 45 = 0.
3, 5
Factor -2*h**2 + 27472*h - 94338848.
-2*(h - 6868)**2
Factor -5*g**5/4 - 835*g**4/2 - 52080*g**3 - 2857680*g**2 - 56306880*g + 124467840.
-5*(g - 2)*(g + 84)**4/4
Factor 4*s**5 - 20*s**4 - 68*s**3 + 84*s**2.
4*s**2*(s - 7)*(s - 1)*(s + 3)
Find s, given that 2*s**4 - 8*s**3 + 10*s**2 - 4*s = 0.
0, 1, 2
Determine p, given that -3*p**3/2 + 96*p**2 - 186*p = 0.
0, 2, 62
Factor g**4 - 9*g**3 + 15*g**2 - 7*g.
g*(g - 7)*(g - 1)**2
Let d**5/4 - 9*d**4/4 + 19*d**3/4 - 3*d**2/4 - 5*d + 3 = 0. What is d?
-1, 1, 2, 6
Solve -2*f**2/13 - 30