0, 3, 10
Solve 3*p**4/5 + 21*p**3/5 - 87*p**2/5 - 261*p/5 + 324/5 = 0.
-9, -3, 1, 4
Suppose 4*n**4/3 - 34*n**3/3 + 26*n**2 - 16*n/3 - 32/3 = 0. Calculate n.
-1/2, 1, 4
Factor -3*g**4 + 72*g**3 - 306*g**2 - 840*g - 459.
-3*(g - 17)*(g - 9)*(g + 1)**2
Factor -2*j**2/15 - 154*j/15 + 316/15.
-2*(j - 2)*(j + 79)/15
Let 3*o**5 - 99*o**4 - 108*o**3 + 204*o**2 = 0. What is o?
-2, 0, 1, 34
Solve 25*t**4/3 + 490*t**3/3 + 2125*t**2/3 + 740*t - 420 = 0.
-14, -3, 2/5
Determine l, given that 2*l**4 + 6*l**3 + 4*l**2 = 0.
-2, -1, 0
Factor -117649*a**5/4 - 31213*a**4 - 3675*a**3/2 - 37*a**2 - a/4.
-a*(a + 1)*(49*a + 1)**3/4
Solve 5*j**3 + 55*j**2 - 60*j = 0.
-12, 0, 1
Factor 2*d**4 - 76*d**2 + 144*d - 70.
2*(d - 5)*(d - 1)**2*(d + 7)
Suppose -4*w**3 - 16*w**2 - 4*w + 24 = 0. Calculate w.
-3, -2, 1
Factor 4*c**2 + 13360*c + 11155600.
4*(c + 1670)**2
Let -2*c**4/5 + 4*c**3/5 + 26*c**2/5 - 28*c/5 - 48/5 = 0. Calculate c.
-3, -1, 2, 4
Suppose r**2/2 + 19*r/2 + 42 = 0. What is r?
-12, -7
Let 4*v**2 - 176*v - 368 = 0. What is v?
-2, 46
Determine z, given that 5*z**2 + 8000*z + 3200000 = 0.
-800
Factor -3*v**3/5 + 1482*v**2/5 - 183027*v/5.
-3*v*(v - 247)**2/5
Factor -5*o**3 + 90*o**2 - 300*o + 280.
-5*(o - 14)*(o - 2)**2
Factor 4*g**2/7 - 8752*g/7 + 8748/7.
4*(g - 2187)*(g - 1)/7
Solve -z**4/3 - z**3 - 2*z**2/3 = 0 for z.
-2, -1, 0
Factor -3*u**2 - 24*u.
-3*u*(u + 8)
Suppose -v**4 + 6*v**3 - 4*v**2 - 6*v + 5 = 0. What is v?
-1, 1, 5
Let 4*w**3 - 20*w**2 + 28*w - 12 = 0. What is w?
1, 3
Solve 5*r**3 - 40*r**2 + 95*r - 60 = 0.
1, 3, 4
Factor -x**3 + 115*x**2/3 + 26*x.
-x*(x - 39)*(3*x + 2)/3
What is q in 3*q**3/2 + 8694*q**2 + 16796808*q + 10817144352 = 0?
-1932
Factor 2*y**2/5 + 724*y/5 + 65522/5.
2*(y + 181)**2/5
Factor q**4 - 63*q**2 - 162*q.
q*(q - 9)*(q + 3)*(q + 6)
Factor -2*n**4/11 + 16*n**3/11 - 256*n/11 + 512/11.
-2*(n - 4)**3*(n + 4)/11
Find v, given that 5*v**4/3 + 210*v**3 - 3420*v**2 + 44170*v/3 - 11515 = 0.
-141, 1, 7
Let -2*g**2/13 - 86*g/13 - 84/13 = 0. Calculate g.
-42, -1
Factor -5*d**2 - 1870*d + 1875.
-5*(d - 1)*(d + 375)
Factor z**3 - 2*z**2 - 7*z - 4.
(z - 4)*(z + 1)**2
Factor 3*d**4 + 180*d**3 - 3*d**2 - 180*d.
3*d*(d - 1)*(d + 1)*(d + 60)
Factor -2*h**4/9 - 406*h**3/9.
-2*h**3*(h + 203)/9
Factor -2*a**4 - 92*a**3 + 290*a**2 - 196*a.
-2*a*(a - 2)*(a - 1)*(a + 49)
Suppose -6*x**2/5 - 63*x/5 - 6 = 0. Calculate x.
-10, -1/2
Factor -2*i**4/9 + 98*i**3/3 - 5396*i**2/3 + 395656*i/9 - 1207184/3.
-2*(i - 38)**3*(i - 33)/9
Factor -4*v**2 - 76*v + 728.
-4*(v - 7)*(v + 26)
Find x such that 21*x**2/2 - 15*x/4 - 9/2 = 0.
-1/2, 6/7
Solve 3*t**2 - 2766*t - 2769 = 0.
-1, 923
Solve 81*t**2 - 93*t + 12 = 0 for t.
4/27, 1
Factor -2*f**5/5 + 34*f**4/5 - 132*f**3/5.
-2*f**3*(f - 11)*(f - 6)/5
Solve 3*g**4/5 + 36*g**3 + 177*g**2/5 = 0.
-59, -1, 0
Let -4*q**3 + 200*q**2 - 1700*q + 4000 = 0. Calculate q.
5, 40
What is b in 5*b**4 - 715*b**3 - 5*b**2 + 715*b = 0?
-1, 0, 1, 143
Factor -j**3/4 - 257*j**2/4 + 1049*j/4 + 1305/4.
-(j - 5)*(j + 1)*(j + 261)/4
Let 2*t**4/9 + 382*t**3/9 + 5054*t**2/9 + 5782*t/3 = 0. What is t?
-177, -7, 0
Factor 3*p**2 - 171*p + 168.
3*(p - 56)*(p - 1)
Find j such that 2*j**5 - 8*j**4 - 38*j**3 + 140*j**2 + 192*j - 576 = 0.
-3, 2, 4
Let d**2/4 + 13*d/2 + 69/4 = 0. Calculate d.
-23, -3
Factor t**2/9 - 46*t/9 - 47/9.
(t - 47)*(t + 1)/9
Factor -3*y**3 + 37*y**2 + 72*y - 28.
-(y - 14)*(y + 2)*(3*y - 1)
Factor -5*k**2 - 110*k + 240.
-5*(k - 2)*(k + 24)
Factor 5*q**3/3 - 16*q**2/3 - 17*q/3 + 4/3.
(q - 4)*(q + 1)*(5*q - 1)/3
Determine x, given that -25*x**4 - 590*x**3 - 3360*x**2 + 1440*x = 0.
-12, 0, 2/5
Let -3*q**5 + 27*q**4 + 291*q**3 - 315*q**2 = 0. Calculate q.
-7, 0, 1, 15
Let -3*t**4/5 + 21*t**3/5 + 54*t**2/5 = 0. What is t?
-2, 0, 9
Factor -i**5 - 13*i**4 - 9*i**3 + 41*i**2 + 62*i + 24.
-(i - 2)*(i + 1)**3*(i + 12)
Factor -s**3/5 + 14248*s**2/5 - 50751376*s/5.
-s*(s - 7124)**2/5
Factor -4*c**3 - 28*c**2 + 4*c + 28.
-4*(c - 1)*(c + 1)*(c + 7)
Solve -21*y**5 + 72*y**4 + 279*y**3 + 258*y**2 + 72*y = 0.
-1, -4/7, 0, 6
Factor -k**3/10 - 436*k**2/5 - 1741*k/10 - 87.
-(k + 1)**2*(k + 870)/10
Find o such that 24*o**2/7 + 13508*o/7 - 2252/7 = 0.
-563, 1/6
Let -s**3/5 - 4*s**2/5 + s/5 + 4/5 = 0. Calculate s.
-4, -1, 1
Determine c, given that -4*c**5/3 - 52*c**4 - 1864*c**3/3 - 2248*c**2 - 8500*c/3 - 1156 = 0.
-17, -3, -1
Factor 2*p**3/19 + 252*p**2/19 + 498*p/19 + 248/19.
2*(p + 1)**2*(p + 124)/19
Solve 2*v**4 - 4*v**3 - 182*v**2 - 176*v = 0 for v.
-8, -1, 0, 11
Factor -2*q**3 - 376*q**2 - 17290*q + 36100.
-2*(q - 2)*(q + 95)**2
Find f such that -f**2/4 - 33*f/4 + 27 = 0.
-36, 3
Factor -5*o**2 + 35*o - 60.
-5*(o - 4)*(o - 3)
Determine l so that l**2 + 52*l + 51 = 0.
-51, -1
Factor -3*v**2 + 72*v - 432.
-3*(v - 12)**2
Factor -2*b**3/13 - 56*b**2/13 - 382*b/13 - 760/13.
-2*(b + 4)*(b + 5)*(b + 19)/13
Let -513*v**3/8 - 771*v**2/2 - 1035*v/2 - 6 = 0. What is v?
-4, -2, -2/171
Factor -4*r**2/7 - 304*r/7 - 240.
-4*(r + 6)*(r + 70)/7
Factor -3*h**2/8 + 2169*h/8.
-3*h*(h - 723)/8
Factor 43923*o**3 + 86394*o**2 - 2892*o + 24.
3*(o + 2)*(121*o - 2)**2
Factor 4*b**2 - 460*b - 464.
4*(b - 116)*(b + 1)
What is n in 2*n**3/17 - 326*n**2/17 - 328*n/17 = 0?
-1, 0, 164
Determine o so that -4*o**2 + 44*o - 72 = 0.
2, 9
Factor -20*t**2 - 888*t - 352.
-4*(t + 44)*(5*t + 2)
Suppose 2*a**2 + 1804*a + 1802 = 0. Calculate a.
-901, -1
Factor -q**2/2 + 5*q/2 + 7.
-(q - 7)*(q + 2)/2
Find c such that -c**5 + 35*c**4 + 233*c**3 + 521*c**2 + 488*c + 164 = 0.
-2, -1, 41
Factor -2*d**2/3 - 1858*d/3 - 1852.
-2*(d + 3)*(d + 926)/3
Determine u so that 15*u**4 + 175*u**3 - 790*u**2 - 600*u = 0.
-15, -2/3, 0, 4
Find h, given that 2*h**2 - 446*h/5 + 688/5 = 0.
8/5, 43
Factor a**5/2 - 367*a**4/2 + 22685*a**3 - 972719*a**2 + 6866629*a/2 + 8857805/2.
(a - 121)**3*(a - 5)*(a + 1)/2
Factor 4*p**2 + 392*p + 9604.
4*(p + 49)**2
Factor 2*k**4/15 + 26*k**3/15 + 4*k**2.
2*k**2*(k + 3)*(k + 10)/15
Factor 2*n**2 - 2554*n + 2552.
2*(n - 1276)*(n - 1)
Determine h so that h**2 + 9*h - 286 = 0.
-22, 13
Factor -k**2/8 + 15*k/8 - 13/4.
-(k - 13)*(k - 2)/8
Factor 5*h**3/4 + 5*h**2/2 - 30*h.
5*h*(h - 4)*(h + 6)/4
Find u, given that 2*u**5 + 2*u**4 - 6*u**3 - 10*u**2 - 4*u = 0.
-1, 0, 2
Suppose i**2/7 + 12*i/7 + 11/7 = 0. What is i?
-11, -1
Factor 25*t**3 - 970*t**2 + 755*t + 190.
5*(t - 38)*(t - 1)*(5*t + 1)
Factor -8*d**4 + 52*d**3 - 52*d**2 - 40*d.
-4*d*(d - 5)*(d - 2)*(2*d + 1)
Factor 5*q**3 + 70*q**2 + 55*q - 130.
5*(q - 1)*(q + 2)*(q + 13)
Find a, given that -2*a**3/7 - 2*a**2/7 + 240*a/7 - 936/7 = 0.
-13, 6
What is x in 2*x**4/13 - 12*x**3/13 + 24*x**2/13 - 16*x/13 = 0?
0, 2
Factor -t**3/4 - 177*t**2/4 - 10443*t/4 - 205379/4.
-(t + 59)**3/4
Factor -r**2 - 19*r + 42.
-(r - 2)*(r + 21)
Determine r, given that 5*r**2 - 600*r + 595 = 0.
1, 119
Determine b, given that 3*b**5 - 48*b**4 - 54*b**3 + 48*b**2 + 51*b = 0.
-1, 0, 1, 17
Let -m**4 - 141*m**3 - 417*m**2 - 415*m - 138 = 0. What is m?
-138, -1
Factor 5*u**2/6 - 1390*u/3 + 193210/3.
5*(u - 278)**2/6
Factor -16*s**2 + 68*s - 16.
-4*(s - 4)*(4*s - 1)
Factor 4*w**3/3 + 48*w**2 + 476*w + 2312/3.
4*(w + 2)*(w + 17)**2/3
Determine d, given that d**5/3 + 7*d**4 + 40*d**3 + 208*d**2/3 = 0.
-13, -4, 0
Determine n, given that n**3/4 + 47*n**2/4 - 27*n/2 - 72 = 0.
-48, -2, 3
What is g in g**4/2 + 25*g**3/2 + 133*g**2/2 + 111*g/2 - 135 = 0?
-18, -5, -3, 1
Solve 100*t**5/7 - 860*t**4/7 + 1944*t**3/7 - 88*t**2 - 508*t/7 - 60/7 = 0 for t.
-1/5, 1, 3, 5
Suppose 3*w**2/4 - 6801*w/8 - 1701/4 = 0. Calculate w.
-1/2, 1134
Suppose -2*b**5/13 - 2*b**4/13 + 84*b**3/13 + 392*b**2/13 + 656*b/13 + 384/13 = 0. What is b?
-3, -2, 8
Factor o**3 - 3*o**2 - 18*o.
o*(o - 6)*(o + 3)
Factor -2*c**3/7 + 22*c**2 + 2*c/7 - 22.
-2*(c - 77)*(c - 1)*(c + 1)/7
Factor c**5 - c**4 - 3*c**3 + c**2 + 2*c.
c*(c - 2)*(c - 1)*(c + 1)**2
Find c such that -c**4/6 + 5*c**3/3 + 92*c**2/3 + 160*c/3 = 0.
-8, -2, 0, 20
Suppose -r**2/5 - 3*r + 16/5 = 0. What is r?
-16, 1
Factor -3*m**3/5 - 54*m**2/5 - 96*m/5.
-3*m*(m + 2)*(m + 16)/5
Factor 5*p**2 + 550*p + 1080.
5*(p + 2)*(p + 108)
Factor 20*s**3/9 - 16*s**2/9 - 16*s/3.
4*s*(s - 2)*(5*s + 6)/9
Determine j so that 15*j**3/2 + 792*j**2 - 2241*j/2 + 321 = 0.
-107, 2/5, 1
Factor -k**4/3 - 2*k**3 - 5*k**2/3 + 8*k + 12.
-(k - 2)*(k + 2)*(k + 3)**2/3
What is s i