termine u, given that -4*u**4 - 280*u**3 - 6336*u**2 - 41472*u + 110592 = 0.
-24, 2
Factor j**2/10 - 9*j/10 + 2.
(j - 5)*(j - 4)/10
Factor 69*l**2/5 - 538*l - 39/5.
(l - 39)*(69*l + 1)/5
Solve m**5 - 12*m**4 + 11*m**3 = 0 for m.
0, 1, 11
Factor -5*g**5/6 + 4*g**4/3 + 2*g**3/3.
-g**3*(g - 2)*(5*g + 2)/6
Find p, given that -4*p**5 - 76*p**4 - 516*p**3 - 1460*p**2 - 1400*p = 0.
-7, -5, -2, 0
Solve i**3/5 + 4776*i**2/5 + 7603392*i/5 + 4034866688/5 = 0.
-1592
Suppose -3*q**4/2 + 9*q**3/2 + 15*q**2/2 - 9*q/2 - 6 = 0. What is q?
-1, 1, 4
Suppose 2*q**5/9 - 2*q**4/9 - 26*q**3/9 + 2*q**2/9 + 8*q/3 = 0. What is q?
-3, -1, 0, 1, 4
Solve -10*o**2 - 44*o = 0.
-22/5, 0
Solve -28*q**5 - 468*q**4 - 2160*q**3 - 2704*q**2 + 960*q = 0 for q.
-10, -4, -3, 0, 2/7
Factor -72*f**3/7 - 15*f**2 - 27*f/7.
-3*f*(3*f + 1)*(8*f + 9)/7
Find s, given that 3*s**4/7 - 30*s**3/7 + 108*s**2/7 - 24*s + 96/7 = 0.
2, 4
Suppose 2*n**4 + 2*n**3 - 2*n**2 - 2*n = 0. Calculate n.
-1, 0, 1
Factor -4*r**5 + 2236*r**4 - 415144*r**3 + 25319800*r**2 + 51893996*r + 26156812.
-4*(r - 187)**3*(r + 1)**2
Factor 2*v**2/9 - 124*v/9 + 1922/9.
2*(v - 31)**2/9
Suppose -n**2 + 2*n = 0. Calculate n.
0, 2
Solve 7*t**4/4 + 23*t**3/4 - 95*t**2/2 - 119*t - 30 = 0 for t.
-6, -2, -2/7, 5
Factor 6*v**2/7 + 522*v/7 + 2460/7.
6*(v + 5)*(v + 82)/7
What is m in -3*m**4/5 + 99*m**3/5 + 9*m**2/5 - 303*m/5 + 198/5 = 0?
-2, 1, 33
Let -5*l**2 - 40*l - 35 = 0. What is l?
-7, -1
Factor 2*v**3/19 + 68*v**2/19 - 142*v/19 + 72/19.
2*(v - 1)**2*(v + 36)/19
Solve 6*z**4/11 - 78*z**3/11 - 6*z**2/11 + 78*z/11 = 0.
-1, 0, 1, 13
Let 2*c**2 + 76*c - 78 = 0. Calculate c.
-39, 1
Let -5*y**4/4 - 955*y**3/4 + 970*y**2 - 975*y = 0. What is y?
-195, 0, 2
Solve x**4/6 + 7*x**3/6 + 8*x**2/3 + 2*x = 0 for x.
-3, -2, 0
Solve -4*j**2 - 828*j + 4240 = 0.
-212, 5
Let -3*f**3/4 - 927*f**2/4 - 95481*f/4 - 3278181/4 = 0. Calculate f.
-103
Determine n so that -2*n**5/3 + 8*n**4/3 + 2*n**3/3 - 8*n**2/3 = 0.
-1, 0, 1, 4
Solve 2*l**4/5 + 16*l**3/5 + 42*l**2/5 + 36*l/5 = 0.
-3, -2, 0
Factor i**4/6 - 4*i**3 + 205*i**2/6 - 119*i + 392/3.
(i - 8)*(i - 7)**2*(i - 2)/6
Let 868*a**4/5 + 852*a**3/5 - 16*a**2/5 = 0. Calculate a.
-1, 0, 4/217
Factor -u**3/3 - 40*u**2/3 + 491*u/3 - 150.
-(u - 9)*(u - 1)*(u + 50)/3
Factor -4*g**3 + 6*g**2 + 36*g + 16.
-2*(g - 4)*(g + 2)*(2*g + 1)
Determine t, given that -t**4 - 52*t**3 - 50*t**2 + 52*t + 51 = 0.
-51, -1, 1
Factor 4*g**4/3 - 4*g**3 - 68*g**2/3 + 52*g - 80/3.
4*(g - 5)*(g - 1)**2*(g + 4)/3
What is s in -3*s**4/2 + 3*s**3/2 + 9*s**2 - 6*s - 12 = 0?
-2, -1, 2
Factor -l**3 - 17*l**2 - 42*l.
-l*(l + 3)*(l + 14)
Factor 13*b**2 + 140*b - 33.
(b + 11)*(13*b - 3)
Suppose -4*j**5 + 52*j**4 - 248*j**3 + 536*j**2 - 516*j + 180 = 0. What is j?
1, 3, 5
Factor 8978*j**5 + 108272*j**4 + 6440*j**3 + 96*j**2.
2*j**2*(j + 12)*(67*j + 2)**2
Determine t so that t**2 + 121*t + 238 = 0.
-119, -2
Let 2*g**5/17 - 10*g**4/17 + 6*g**3/17 + 18*g**2/17 = 0. What is g?
-1, 0, 3
Factor -234*v**2/7 - 692*v/7 + 30/7.
-2*(v + 3)*(117*v - 5)/7
Factor r**2/3 + 194*r/3 + 760/3.
(r + 4)*(r + 190)/3
Factor 57122*u**3/11 + 58474*u**2/11 + 1360*u/11 + 8/11.
2*(u + 1)*(169*u + 2)**2/11
Factor -2*f**3/5 - 78*f**2/5 + 84*f/5 + 32.
-2*(f - 2)*(f + 1)*(f + 40)/5
Find k, given that -375*k**4 + 14025*k**3 + 53730*k**2 + 65772*k + 26568 = 0.
-6/5, 41
Factor 3*d**3 + 477*d**2 - 963*d + 483.
3*(d - 1)**2*(d + 161)
Let 2*q**2 + 516*q + 33282 = 0. Calculate q.
-129
Determine b, given that -15*b**3 + 35*b**2 + 350*b - 120 = 0.
-4, 1/3, 6
Let -2*k**2/13 - 1836*k/13 + 3680/13 = 0. What is k?
-920, 2
What is u in 6*u**2/5 - 14952*u/5 + 14946/5 = 0?
1, 2491
Let 12*h**4 - 75*h**3 + 3*h**2 + 279*h + 189 = 0. What is h?
-1, 3, 21/4
Determine y so that 2*y**5/3 + 34*y**4/3 + 66*y**3 + 406*y**2/3 - 40*y/3 - 200 = 0.
-6, -5, -2, 1
Let -3*a**5/2 + 43*a**4 - 176*a**3 + 193*a**2 - 45*a/2 - 36 = 0. What is a?
-1/3, 1, 3, 24
Suppose -2*n**3/3 + 2342*n**2/3 - 228930*n + 228150 = 0. Calculate n.
1, 585
Solve 2*k**5/5 + 6*k**4/5 - 2*k**3/5 - 22*k**2/5 - 24*k/5 - 8/5 = 0.
-2, -1, 2
Factor -3*o**2 - 1986*o - 328683.
-3*(o + 331)**2
Find c such that -2*c**3 - 16*c**2 + 38*c - 20 = 0.
-10, 1
Factor -5*j**4 + 30*j**3 - 60*j**2 + 50*j - 15.
-5*(j - 3)*(j - 1)**3
Factor -4*d**4 - 224*d**3 - 3136*d**2.
-4*d**2*(d + 28)**2
Suppose -3*u**2 - 432*u - 2484 = 0. What is u?
-138, -6
Factor 5*k**3 + 200*k**2 + 1995*k.
5*k*(k + 19)*(k + 21)
Solve 3*n**2 - 738*n - 2241 = 0 for n.
-3, 249
Let 9*c**2/4 - 1095*c/4 + 363/2 = 0. Calculate c.
2/3, 121
Find z such that -2*z**5 - 290*z**4/7 - 102*z**3 - 542*z**2/7 - 32*z/7 + 72/7 = 0.
-18, -1, 2/7
What is h in -146*h**3 + 4*h**2 = 0?
0, 2/73
Let -4*j**4 + 28*j**3 - 8*j**2 - 112*j + 96 = 0. What is j?
-2, 1, 2, 6
Factor c**2 - 5560*c + 7728400.
(c - 2780)**2
Let -8*t**2 - 460*t - 228 = 0. What is t?
-57, -1/2
Let 2*v**4 - 22*v**3 + 48*v**2 + 8*v - 64 = 0. Calculate v.
-1, 2, 8
Determine f, given that 3*f**3/4 + f**2 + f/4 = 0.
-1, -1/3, 0
Factor -r**2/3 - 130*r/3 + 131/3.
-(r - 1)*(r + 131)/3
Factor -5*g**4 + g**3 + 31*g**2 - 45*g + 18.
-(g - 1)**2*(g + 3)*(5*g - 6)
Suppose -n**4/3 + 20*n**3/3 + 9*n**2 - 42*n = 0. What is n?
-3, 0, 2, 21
Determine w, given that -169*w**5/3 + 1469*w**4/3 + 4013*w**3/3 - 40277*w**2/3 - 12656*w/3 - 980/3 = 0.
-5, -2/13, 7
Let p**5/6 + 7*p**4/6 + 8*p**3/3 + 2*p**2 = 0. Calculate p.
-3, -2, 0
Determine m, given that -3*m**3 - 117*m**2 - 225*m - 111 = 0.
-37, -1
Factor 20*a**2 + 476*a - 96.
4*(a + 24)*(5*a - 1)
Suppose 3*u**4/7 - 240*u**3/7 + 936*u**2 - 10752*u + 44688 = 0. What is u?
14, 38
Factor 5*a**3 - 165*a**2 - 5*a + 165.
5*(a - 33)*(a - 1)*(a + 1)
Determine s, given that 306*s**5 + 213*s**4 + 40*s**3 + s**2 = 0.
-1/3, -1/34, 0
Find s, given that 3*s**5 + 66*s**4 + 387*s**3 - 4212*s - 3888 = 0.
-12, -6, -1, 3
Find s, given that 13*s**4/8 - 29*s**3 - 829*s**2/8 - 167*s/2 - 21/2 = 0.
-2, -1, -2/13, 21
Factor z**4/3 + 3*z**3 + 26*z**2/3 + 8*z.
z*(z + 2)*(z + 3)*(z + 4)/3
Factor -d**5/7 + 6*d**3/7 - 8*d**2/7 + 3*d/7.
-d*(d - 1)**3*(d + 3)/7
Factor 5*y**3 + 55*y**2 - 605*y - 6655.
5*(y - 11)*(y + 11)**2
Suppose 3*r**2/7 + 1326*r/7 = 0. What is r?
-442, 0
Factor 3*u**3/5 - 36*u**2/5 + 33*u/5.
3*u*(u - 11)*(u - 1)/5
Factor -6*x**3/5 + 2*x**2 + 22*x/5 + 6/5.
-2*(x - 3)*(x + 1)*(3*x + 1)/5
Determine s so that 3*s**4/8 - 27*s**3/8 + 75*s**2/8 - 81*s/8 + 15/4 = 0.
1, 2, 5
Factor t**4/8 - 15*t**3/8 + 3*t**2/4 + 31*t/2 - 21.
(t - 14)*(t - 2)**2*(t + 3)/8
Factor -9*v**2 - 633*v/5 - 42/5.
-3*(v + 14)*(15*v + 1)/5
Factor 5*d**5 + 20*d**4 + 30*d**3 + 20*d**2 + 5*d.
5*d*(d + 1)**4
Suppose i**5 - 28*i**4/3 + 40*i**3/3 + 70*i**2/3 - 43*i/3 - 14 = 0. Calculate i.
-1, -2/3, 1, 3, 7
Solve -4*s**2 - 52*s + 120 = 0 for s.
-15, 2
Determine l, given that -2*l**4 - 186*l**3 - 5040*l**2 - 31752*l = 0.
-42, -9, 0
Factor -b**3/11 - 98*b**2/11 - 2496*b/11 - 4608/11.
-(b + 2)*(b + 48)**2/11
Factor 90*p**3 - 715*p**2 - 3010*p - 165.
5*(p - 11)*(p + 3)*(18*p + 1)
Factor -2*m**3 + 354*m**2 - 15840*m + 15488.
-2*(m - 88)**2*(m - 1)
Find t, given that -159*t**3/7 + 639*t**2/7 - 12*t/7 = 0.
0, 1/53, 4
Determine i, given that -3*i**5/7 + 18*i**4/7 - 30*i**3/7 + 33*i/7 - 18/7 = 0.
-1, 1, 2, 3
Solve 2*t**2 + 30*t + 52 = 0.
-13, -2
Let 77*o**5 - 233*o**4 + 6*o**3 + 308*o**2 - 8*o = 0. Calculate o.
-1, 0, 2/77, 2
Factor -5*f**4 - 145*f**3 - 1350*f**2 - 4320*f - 4320.
-5*(f + 2)*(f + 3)*(f + 12)**2
Solve -5*t**2 - 1040*t - 4080 = 0.
-204, -4
What is l in -l**3 + 24*l**2 - 36*l - 176 = 0?
-2, 4, 22
Factor x**3/4 - 27*x**2/2 + 515*x/4 - 231/2.
(x - 42)*(x - 11)*(x - 1)/4
Factor -1374*x**2 - 1365*x + 9.
-3*(x + 1)*(458*x - 3)
Factor -25*v**2 + 5240*v + 2100.
-5*(v - 210)*(5*v + 2)
Find l, given that -l**2 + 3*l + 4 = 0.
-1, 4
Factor h**5 + 5*h**4 - 2*h**3 - 10*h**2 + h + 5.
(h - 1)**2*(h + 1)**2*(h + 5)
Let -2*s**2/3 + 212*s/3 + 214/3 = 0. Calculate s.
-1, 107
Determine b, given that -b**3 - 34*b**2 + 148*b - 152 = 0.
-38, 2
Factor 3*a**2 - 24*a + 48.
3*(a - 4)**2
Suppose -2*r**2/7 + 10*r - 56 = 0. What is r?
7, 28
Factor -2*q**5 - 6*q**4 - 6*q**3 - 2*q**2.
-2*q**2*(q + 1)**3
Factor -4*h**2 + 34696*h - 75238276.
-4*(h - 4337)**2
Factor -o**3/5 + 33*o**2/5 + 108*o/5.
-o*(o - 36)*(o + 3)/5
Solve -2*m**2/5 - 44*m - 218/5 = 0.
-109, -1
Factor 12*f**3/5 - 14392*f**2/5 -