or -1029*c**3 - 4557*c**2 - 2352*c - 324.
-3*(7*c + 2)**2*(7*c + 27)
Determine o so that 100*o**4 + 12492*o**3 + 11425*o**2 + 2106*o - 248 = 0.
-124, -1/2, 2/25
Suppose 2*u**3/9 - 58*u**2/3 - 356*u/9 = 0. What is u?
-2, 0, 89
Factor -4*a**3 - 14*a**2 + 8*a.
-2*a*(a + 4)*(2*a - 1)
Factor -3*i**3 - 393*i**2 - 1152*i.
-3*i*(i + 3)*(i + 128)
Determine o, given that 4*o**5 - 8*o**4 - 24*o**3 + 80*o**2 - 76*o + 24 = 0.
-3, 1, 2
Solve 2*i**3/5 + 22*i**2/5 - 28*i/5 - 48/5 = 0.
-12, -1, 2
Solve -8*m**4/11 - 122*m**3/11 - 334*m**2/11 - 268*m/11 - 48/11 = 0 for m.
-12, -2, -1, -1/4
Factor -2*y**2/9 + 376*y/3 + 1130/9.
-2*(y - 565)*(y + 1)/9
Factor -4*b**5/9 - 308*b**4/9 - 7864*b**3/9 - 76760*b**2/9 - 319300*b/9 - 480500/9.
-4*(b + 5)**3*(b + 31)**2/9
Factor 2*s**2 + 13984*s + 24444032.
2*(s + 3496)**2
Factor -2*u**2 + 6236*u - 4860962.
-2*(u - 1559)**2
Factor 5*s**2 - 30*s + 40.
5*(s - 4)*(s - 2)
Factor g**3/9 - 5*g**2/9 - g/9 + 5/9.
(g - 5)*(g - 1)*(g + 1)/9
Factor u**4/9 + 22*u**3/9 + 59*u**2/9 + 38*u/9.
u*(u + 1)*(u + 2)*(u + 19)/9
Solve 4*b**5/7 - 124*b**4/7 + 744*b**3/7 + 3592*b**2/7 - 748*b/7 - 3468/7 = 0 for b.
-3, -1, 1, 17
Solve h**3/3 - h**2/3 - 110*h/3 = 0 for h.
-10, 0, 11
Factor -5*u**3 + 50*u**2 + 155*u - 1100.
-5*(u - 11)*(u - 4)*(u + 5)
Factor -2*p**4 + 38*p**2 - 60*p.
-2*p*(p - 3)*(p - 2)*(p + 5)
Solve -t**3/5 + 9*t**2 + 93*t/5 + 47/5 = 0.
-1, 47
Factor -o**3 - 6*o**2 + 64*o - 96.
-(o - 4)*(o - 2)*(o + 12)
What is k in 161*k**2/4 - k/4 = 0?
0, 1/161
Factor w**2 - 19*w - 20.
(w - 20)*(w + 1)
Factor 3*p**2/4 + 423*p/4 + 417/2.
3*(p + 2)*(p + 139)/4
Let 2*l**5/3 - 2*l**4 - 46*l**3/3 - 22*l**2 - 28*l/3 = 0. What is l?
-2, -1, 0, 7
Factor 2*j**3 - 6*j**2 - 2*j + 6.
2*(j - 3)*(j - 1)*(j + 1)
Suppose -16*h**2 - 92*h - 60 = 0. Calculate h.
-5, -3/4
Factor -2*o**3/7 - 256*o**2/7 + 150*o - 792/7.
-2*(o - 3)*(o - 1)*(o + 132)/7
Suppose -2*l**4 - 22*l**3/3 + 142*l**2/9 + 38*l/3 + 20/9 = 0. Calculate l.
-5, -1/3, 2
Let -2*j**5 + 4*j**4 + 20*j**3 - 16*j**2 - 66*j - 36 = 0. What is j?
-2, -1, 3
Factor -2*y**3/11 - 158*y**2/11 + 1220*y/11 + 1376/11.
-2*(y - 8)*(y + 1)*(y + 86)/11
Let 2*i**2/15 + 4*i/15 - 2/5 = 0. What is i?
-3, 1
Solve 14*g**4 + 268*g**3 + 1800*g**2 + 4752*g + 3456 = 0.
-6, -8/7
Solve -r**5 + 8*r**4 + 3*r**3 - 126*r**2 + 216*r = 0.
-4, 0, 3, 6
Factor -z**4 - 108*z**3 - 2915*z**2 + 108*z + 2916.
-(z - 1)*(z + 1)*(z + 54)**2
Solve -x**3 - 13*x**2/6 + 8*x/3 + 1/2 = 0 for x.
-3, -1/6, 1
Determine y, given that -y**2/6 - y/2 + 9 = 0.
-9, 6
Let d**3/4 - 7*d/4 + 3/2 = 0. What is d?
-3, 1, 2
Find n such that -3*n**5/4 + 243*n**4/4 - 1572*n**3 + 10920*n**2 + 56448*n - 65856 = 0.
-4, 1, 28
Suppose 2*y**5 + 52*y**4 - 228*y**3 + 352*y**2 - 238*y + 60 = 0. Calculate y.
-30, 1
Solve -5*o**5/2 - 15*o**4/2 + 15*o**3 + 70*o**2 + 60*o = 0.
-2, 0, 3
Factor 2*w**2/3 + 4*w/3 - 2.
2*(w - 1)*(w + 3)/3
Find w such that -2*w**2/7 + 950*w/7 = 0.
0, 475
Factor 2*p**4 + 20*p**3 + 48*p**2 + 44*p + 14.
2*(p + 1)**3*(p + 7)
Let 4*g**4/17 + 18*g**3/17 + 24*g**2/17 + 8*g/17 = 0. Calculate g.
-2, -1/2, 0
What is c in -c**4/3 - 3*c**3 - 20*c**2/3 = 0?
-5, -4, 0
Factor 5*k**3 - 45*k**2 - 60*k + 100.
5*(k - 10)*(k - 1)*(k + 2)
Factor -4*d**4 + 40*d**3 + 4*d**2 - 40*d.
-4*d*(d - 10)*(d - 1)*(d + 1)
Find g such that 10*g**5/3 + 14*g**4/3 - 22*g**3 - 158*g**2/3 - 112*g/3 - 8 = 0.
-2, -1, -2/5, 3
Factor 2*f**3/9 - 26*f**2/9 + 62*f/9 + 10.
2*(f - 9)*(f - 5)*(f + 1)/9
Let x**2 - 1031*x - 2066 = 0. Calculate x.
-2, 1033
Factor t**5 + 33*t**4 + 207*t**3 - 1269*t**2 - 1944*t + 8748.
(t - 3)**2*(t + 3)*(t + 18)**2
Factor 2*z**4/5 - 74*z**3/5.
2*z**3*(z - 37)/5
Suppose -2*v**4/9 + 44*v**3/9 + 16*v**2/3 - 44*v/9 - 46/9 = 0. What is v?
-1, 1, 23
Factor 5*l**2 - 1100*l.
5*l*(l - 220)
Factor -2*v**2/7 - 354*v/7 - 352/7.
-2*(v + 1)*(v + 176)/7
Factor 25*z**3/4 + 9405*z**2/4 + 11259*z/4 + 3375/4.
(z + 375)*(5*z + 3)**2/4
Factor -3*k**4 + 75*k**3 - 282*k**2 - 360*k.
-3*k*(k - 20)*(k - 6)*(k + 1)
Factor b**3/6 + 4*b**2/3 - 45*b/2 - 75.
(b - 10)*(b + 3)*(b + 15)/6
Factor -14*g**2/3 - 40*g/3 + 18.
-2*(g - 1)*(7*g + 27)/3
Determine d so that -12*d**2 - 27*d - 6 = 0.
-2, -1/4
Suppose -q**3/2 + 7*q**2/2 + 49*q/2 - 343/2 = 0. Calculate q.
-7, 7
Determine n, given that 320*n**4/3 - 3376*n**3/3 + 804*n**2 - 593*n/3 + 49/3 = 0.
1/4, 49/5
Factor -m**4/2 - 11*m**3/2 - 33*m**2/2 - 9*m/2 + 27.
-(m - 1)*(m + 3)**2*(m + 6)/2
Find k, given that 3*k**4 - 243*k**3 + 5034*k**2 - 4320*k - 9600 = 0.
-1, 2, 40
What is s in s**2/5 + 90*s + 10125 = 0?
-225
Let -2*g**2 + 240*g - 472 = 0. What is g?
2, 118
Factor 3*l**3 + 45*l**2 + 177*l + 135.
3*(l + 1)*(l + 5)*(l + 9)
Factor 23*d**2/4 - 7591*d/2 + 330.
(d - 660)*(23*d - 2)/4
Solve 2*a**4/13 + 72*a**3/13 - 14*a**2/13 - 492*a/13 + 432/13 = 0 for a.
-36, -3, 1, 2
Suppose 6*a**3/5 - 2272*a**2/15 - 1368*a/5 + 1024/15 = 0. What is a?
-2, 2/9, 128
Suppose -5*g**2/9 + 7*g/9 = 0. What is g?
0, 7/5
Solve -2*f**5/11 + 2*f**4/11 + 12*f**3/11 + 4*f**2/11 - 10*f/11 - 6/11 = 0 for f.
-1, 1, 3
Factor 4*v**4 - 84*v**3 + 332*v**2 - 156*v - 576.
4*(v - 16)*(v - 3)**2*(v + 1)
Factor 37538*m**2/13 + 4384*m/13 + 128/13.
2*(137*m + 8)**2/13
Suppose -2*c**2 + 16*c - 30 = 0. Calculate c.
3, 5
Factor v**2/4 - 47*v/2 - 95/4.
(v - 95)*(v + 1)/4
Determine f so that 121*f**5/2 + 803*f**4/2 + 1511*f**3/2 + 457*f**2/2 - 168*f + 18 = 0.
-3, -1, 2/11
Determine x so that 114*x**5 + 231*x**4 + 120*x**3 + 3*x**2 = 0.
-1, -1/38, 0
Factor 5*i**4 - 265*i**3 + 4080*i**2 - 14400*i.
5*i*(i - 24)**2*(i - 5)
Let -21*n**3 - 1581*n**2 - 2004*n - 444 = 0. Calculate n.
-74, -1, -2/7
Solve 3*v**2 + 210*v - 3825 = 0 for v.
-85, 15
Factor 4*o**2/5 + 6*o/5 - 54/5.
2*(o - 3)*(2*o + 9)/5
Solve g**5 + 4*g**4 - 16*g**3 - 16*g**2 + 48*g = 0.
-6, -2, 0, 2
Suppose -2*o**3 - 26*o**2 + 2*o + 26 = 0. What is o?
-13, -1, 1
What is i in i**2/8 - 379*i/8 + 189/4 = 0?
1, 378
Factor -3*m**5/7 - 180*m**4/7 - 1320*m**3/7 - 3840*m**2/7 - 720*m - 2496/7.
-3*(m + 2)**4*(m + 52)/7
Find k such that -5*k**2 - 60*k - 180 = 0.
-6
Factor -2*o**2/11 + 62*o/11 - 116/11.
-2*(o - 29)*(o - 2)/11
Factor j**2 + 312*j + 311.
(j + 1)*(j + 311)
Factor -35*p**3 + 30*p**2 + 75*p + 10.
-5*(p - 2)*(p + 1)*(7*p + 1)
Find j, given that -2*j**3 - 14*j**2 + 28*j + 96 = 0.
-8, -2, 3
Let 2*a**2/5 + 388*a/5 - 784/5 = 0. What is a?
-196, 2
Factor -5*o**4/8 - 29*o**3/4 + 3*o**2.
-o**2*(o + 12)*(5*o - 2)/8
Determine g so that -366*g**3 - 370*g**2 - 4*g = 0.
-1, -2/183, 0
Find d, given that 20*d**2 + 9265*d + 2315 = 0.
-463, -1/4
Solve -4*c**3/9 + 112*c**2 - 3968*c/9 = 0 for c.
0, 4, 248
Suppose 2*x**5/15 - 16*x**4/15 - 4*x**3/15 + 32*x**2/15 + 2*x/15 - 16/15 = 0. What is x?
-1, 1, 8
Find b such that -2*b**2/19 + 5696*b/19 - 5694/19 = 0.
1, 2847
Factor -5*b**4 + 125*b**3 - 230*b**2.
-5*b**2*(b - 23)*(b - 2)
Find m such that 4*m**2/9 - 188*m/9 = 0.
0, 47
Solve 4*v**5/3 - 16*v**4/3 - 4*v**3/3 + 16*v**2/3 = 0 for v.
-1, 0, 1, 4
Factor 2*w**3/3 + 244*w**2 + 29768*w + 3631696/3.
2*(w + 122)**3/3
Factor 15*u**5 - 40*u**4 + 30*u**3 - 5*u.
5*u*(u - 1)**3*(3*u + 1)
What is q in 112*q**4/9 + 1948*q**3 + 38936*q**2/9 + 960*q = 0?
-1080/7, -2, -1/4, 0
Find b such that b**5/6 + 43*b**4/3 + 167*b**3/3 + 248*b**2/3 + 329*b/6 + 41/3 = 0.
-82, -1
Determine h, given that -4*h**4/5 + 312*h**3/5 + 356*h**2/5 - 3192*h/5 + 2528/5 = 0.
-4, 1, 2, 79
Factor -2*w**3/5 + 114*w**2/5 - 86*w + 318/5.
-2*(w - 53)*(w - 3)*(w - 1)/5
Let -3*r**5/4 + 321*r**4/2 - 9057*r**3 + 50550*r**2 - 98592*r + 64896 = 0. What is r?
2, 104
Factor -b**3 - 168*b**2 + 339*b - 170.
-(b - 1)**2*(b + 170)
Factor 5*n**4/4 + 29*n**3/2 - 6*n**2 - 320*n + 128.
(n - 4)*(n + 8)**2*(5*n - 2)/4
Determine j, given that -3*j**3 - 42*j**2 - 69*j + 330 = 0.
-11, -5, 2
Solve -3*r**5/7 + 6*r**4/7 + 18*r**3/7 - 60*r**2/7 + 57*r/7 - 18/7 = 0 for r.
-3, 1, 2
Factor 2*c**3 - 6*c**2 + 4*c.
2*c*(c - 2)*(c - 1)
Determine m so that m**5/2 + 99*m**4/2 + 2399*m**3/2 - 2599*m**2/2 - 1200*m + 1250 = 0.
-50, -1, 1
Solve z**2/2 + 241*z/2 + 705 = 0 for z.
-235, -6
Find o, given that -o**4/3 + 20*o**3/3 - 50*o**2/3 - 20*o/3 + 17 = 0.
-1, 1, 3, 17
Let -3*a**3/4 - 45*a**2/4 - 36*a - 33 = 0. What is a?
-11, -2
Factor u**2 + 272*u - 273.
(u - 1)*(u + 273)
Find b, given that -4*b**4/19 - 122*b**3/19 + 196*b**2/19 + 128*b/19 = 0.
-32, -1/2, 0, 2
Facto