+ 7)
Let -75*t**5 + 1580*t**4 - 7595*t**3 + 11790*t**2 - 3600*t = 0. Calculate t.
0, 2/5, 8/3, 3, 15
Factor -b**5 - 3*b**4 - b**3 + 3*b**2 + 2*b.
-b*(b - 1)*(b + 1)**2*(b + 2)
Determine g, given that 4*g**2 - 504*g + 15876 = 0.
63
Factor 3*c**2/2 + 135*c/2 - 141.
3*(c - 2)*(c + 47)/2
Find p such that 4*p**5 - 4*p**4 - 72*p**3 + 72*p**2 + 324*p - 324 = 0.
-3, 1, 3
Find g, given that -21*g**3 + 96*g**2 - 39*g - 36 = 0.
-3/7, 1, 4
Determine d so that 2*d**3 - 340*d**2 + 3474*d + 3816 = 0.
-1, 12, 159
Find v such that 5*v**4 - 160*v**3 + 150*v**2 + 160*v - 155 = 0.
-1, 1, 31
Factor 5*m**3 - 525*m**2 + 13515*m + 14045.
5*(m - 53)**2*(m + 1)
Factor l**4/3 + 42*l**3 + 76*l**2 - 2456*l/3 + 992.
(l - 2)**2*(l + 6)*(l + 124)/3
Factor -2*u**4 - 8*u**3 + 90*u**2.
-2*u**2*(u - 5)*(u + 9)
Let -15*w**3/4 - 33*w**2/4 + 39*w/4 + 9/4 = 0. What is w?
-3, -1/5, 1
Factor -4*x**2 + 2180*x.
-4*x*(x - 545)
Solve 4*p**4/5 - 8*p**3 + 128*p**2/5 - 128*p/5 = 0.
0, 2, 4
Suppose -j**2/2 + 205*j/2 - 303 = 0. What is j?
3, 202
Solve 4*m**4/5 + 20*m**3 + 508*m**2/5 - 1332*m/5 + 144 = 0.
-15, -12, 1
Factor 2*k**3/11 - 596*k**2/11 - 1198*k/11 - 600/11.
2*(k - 300)*(k + 1)**2/11
Factor 5*g**3/8 + 21*g**2/4 - 29*g/8 - 9/4.
(g - 1)*(g + 9)*(5*g + 2)/8
Factor 3*h**3 + 30*h**2 + 96*h + 96.
3*(h + 2)*(h + 4)**2
Factor -q**3 + 748*q**2 + 4515*q + 6786.
-(q - 754)*(q + 3)**2
Factor -3*s**3 + 8208*s**2 - 7485696*s + 2275651584.
-3*(s - 912)**3
Factor 4*h**2 - 1788*h - 5400.
4*(h - 450)*(h + 3)
What is g in -4*g**4/7 + 204*g**3/7 + 688*g**2/7 - 2160*g/7 = 0?
-5, 0, 2, 54
Solve -z**2 + 11*z/3 - 2 = 0.
2/3, 3
Determine l, given that 916*l**2 + 4572*l - 40 = 0.
-5, 2/229
Factor 4*b**3 + 28172*b**2 + 49589760*b - 49617936.
4*(b - 1)*(b + 3522)**2
Factor u**2/3 + 1348*u/3 + 454276/3.
(u + 674)**2/3
Determine g so that 50*g**3/9 - 4090*g**2/9 - 1654*g/3 - 166 = 0.
-3/5, 83
Factor n**3/2 + 7*n**2/2 - 17*n/2 + 9/2.
(n - 1)**2*(n + 9)/2
Let s**3 + 194*s**2 + 11424*s + 183456 = 0. Calculate s.
-84, -26
Factor -4*v**2 - 4*v + 8.
-4*(v - 1)*(v + 2)
What is i in -45*i**4 - 230*i**3 + 285*i**2 + 230*i - 240 = 0?
-6, -1, 8/9, 1
Factor 2*v**3/7 - 48*v**2 + 14760*v/7 - 53792/7.
2*(v - 82)**2*(v - 4)/7
Let -9*a**3/4 + 123*a**2/4 + 177*a/4 + 45/4 = 0. Calculate a.
-1, -1/3, 15
Factor -2*u**3/11 + 2*u**2/11 + 20*u/11 + 16/11.
-2*(u - 4)*(u + 1)*(u + 2)/11
Factor 6*f**2 + 3*f - 63.
3*(f - 3)*(2*f + 7)
Determine y so that 2*y**4/3 - 6*y**3 + 10*y**2 + 50*y/3 = 0.
-1, 0, 5
Determine x so that 5*x**3/2 - 20*x**2 + 75*x/2 = 0.
0, 3, 5
What is m in 3*m**2 - 99*m - 324 = 0?
-3, 36
Determine j, given that -2*j**4/3 - 1856*j**3/3 + 3108*j**2 - 1872*j - 5598 = 0.
-933, -1, 3
Factor b**4/6 + 31*b**3/3 + 1021*b**2/6 + 310*b + 150.
(b + 1)**2*(b + 30)**2/6
Factor x**5/5 + 254*x**4/5 + 21673*x**3/5 + 635292*x**2/5 + 1206576*x/5 + 592704/5.
(x + 1)**2*(x + 84)**3/5
Determine u so that -2*u**3 - 318*u**2 - 1248*u - 1240 = 0.
-155, -2
Let -16*k**3 + 34*k**2 + 10*k - 28 = 0. What is k?
-7/8, 1, 2
Determine x, given that 2*x**5/5 - 16*x**4/5 + 4*x**3/5 + 64*x**2/5 + 42*x/5 = 0.
-1, 0, 3, 7
Factor -2*j**3/9 - 170*j**2/9 - 472*j/9 + 1640/9.
-2*(j - 2)*(j + 5)*(j + 82)/9
Let 2*m**3/5 - 122*m**2/5 + 272*m + 16184/5 = 0. Calculate m.
-7, 34
Factor 2*z**4/7 - 12*z**3/7 + 16*z**2/7 + 12*z/7 - 18/7.
2*(z - 3)**2*(z - 1)*(z + 1)/7
Suppose a**4/6 - 31*a**3/3 + 208*a**2 - 3841*a/3 - 8993/6 = 0. What is a?
-1, 17, 23
Let -2*j**5/5 - 218*j**4/5 - 5826*j**3/5 + 1298*j**2 + 2420*j = 0. What is j?
-55, -1, 0, 2
What is t in 2*t**3/15 - 22*t**2/5 + 114*t/5 - 162/5 = 0?
3, 27
Solve 4*c**2 + 1860*c + 7376 = 0.
-461, -4
Factor 2*c**3 + 54*c**2 + 238*c - 294.
2*(c - 1)*(c + 7)*(c + 21)
Solve -x**4 + 91*x**3 + 187*x**2 - 91*x - 186 = 0 for x.
-2, -1, 1, 93
Find t such that 2*t**2 + 738*t + 736 = 0.
-368, -1
Find u, given that 4*u**5 - 112*u**3 + 216*u**2 + 108*u - 216 = 0.
-6, -1, 1, 3
Factor 3*r**2 - 72*r.
3*r*(r - 24)
Factor 2*m**3/3 + 114*m**2 - 230*m + 346/3.
2*(m - 1)**2*(m + 173)/3
Factor -4*s**3 + 16*s**2 - 20*s + 8.
-4*(s - 2)*(s - 1)**2
Determine p so that 2*p**3/15 + 16*p**2/15 + 14*p/15 = 0.
-7, -1, 0
Factor v**4/5 + 27*v**3/5 - v**2/5 - 27*v/5.
v*(v - 1)*(v + 1)*(v + 27)/5
Let a**2 + 55*a + 54 = 0. Calculate a.
-54, -1
Factor 2*x**4/3 - 100*x**3/3 + 382*x**2 + 2600*x/3 + 1352/3.
2*(x - 26)**2*(x + 1)**2/3
Suppose 2*o**4/7 - 12*o**3/7 = 0. Calculate o.
0, 6
Factor -2*a**3 - 86*a**2 - 72*a + 504.
-2*(a - 2)*(a + 3)*(a + 42)
Factor 7*c**3 + 51*c**2 - 406*c - 120.
(c - 5)*(c + 12)*(7*c + 2)
Solve 3*a**3 - 666*a**2 - 2025*a = 0 for a.
-3, 0, 225
What is h in -2*h**2/9 + 46*h/9 - 224/9 = 0?
7, 16
Factor 2*s**3/7 + 32*s**2/7 - 10*s + 36/7.
2*(s - 1)**2*(s + 18)/7
Factor -5*n**4 + 20*n**3 + 25*n**2.
-5*n**2*(n - 5)*(n + 1)
Let 80*k**5 - 68*k**4 - 68*k**3 + 68*k**2 - 12*k = 0. What is k?
-1, 0, 1/4, 3/5, 1
Determine t, given that t**2/3 - 151*t/3 + 298/3 = 0.
2, 149
Suppose 20*m**3 - 12635*m**2 + 9460*m + 3155 = 0. What is m?
-1/4, 1, 631
Factor 5*h**4 - 1970*h**3 + 194045*h**2.
5*h**2*(h - 197)**2
Factor -2*g**3/9 + 26*g**2/9 + 20*g/3.
-2*g*(g - 15)*(g + 2)/9
Factor -3*h**2/2 - 51*h + 1008.
-3*(h - 14)*(h + 48)/2
Factor -j**2 - 1795*j + 5394.
-(j - 3)*(j + 1798)
Factor 13*h**3 + 97*h**2 + 152*h - 112.
(h + 4)**2*(13*h - 7)
Suppose -p**5/7 + 92*p**4/7 - 1822*p**3/7 - 1932*p**2 - 3087*p = 0. Calculate p.
-3, 0, 49
Determine u, given that 4*u**3 - 1112*u**2 + 1108*u = 0.
0, 1, 277
Factor -2*b**4/17 - 44*b**3/17 - 288*b**2/17 - 256*b/17 + 2048/17.
-2*(b - 2)*(b + 8)**3/17
Factor -2*x**4 + 4*x**3 + 14*x**2 + 8*x.
-2*x*(x - 4)*(x + 1)**2
Determine z so that 5771588*z**5 - 11696404*z**4 + 6079400*z**3 - 155944*z**2 + 1364*z - 4 = 0.
1/113, 1
Solve -4*u**5/3 + 92*u**3/3 + 88*u**2 + 272*u/3 + 32 = 0 for u.
-2, -1, 6
Factor -g**5 - 16*g**4 - 20*g**3 + 400*g**2.
-g**2*(g - 4)*(g + 10)**2
Suppose -3*w**3 + 30*w**2 + 81*w - 108 = 0. What is w?
-3, 1, 12
Suppose 2*u**5/3 - 13*u**4/6 - 4*u**3/3 + 9*u**2/2 + 3*u = 0. What is u?
-1, -3/4, 0, 2, 3
What is r in 3*r**3 + 21*r**2 = 0?
-7, 0
Factor 2*s**4 - 24*s**3 + 100*s**2 - 168*s + 90.
2*(s - 5)*(s - 3)**2*(s - 1)
Factor -k**2 + 39*k - 38.
-(k - 38)*(k - 1)
Factor -3*f**2 - 3510*f - 1026675.
-3*(f + 585)**2
Suppose 5*j**2 + 260*j + 255 = 0. What is j?
-51, -1
Suppose -20*v**4 + 52*v**3 + 12*v**2 - 100*v + 56 = 0. Calculate v.
-7/5, 1, 2
Let 87*n**3/5 + 172*n**2/5 + 83*n/5 - 2/5 = 0. Calculate n.
-1, 2/87
Factor v**3/2 - 23*v**2/2 - 29*v + 100.
(v - 25)*(v - 2)*(v + 4)/2
Let -5*k**4 - 30*k**3 - 20*k**2 + 120*k + 160 = 0. What is k?
-4, -2, 2
Factor d**5/3 - d**4/3 - 16*d**3/3 - 20*d**2/3.
d**2*(d - 5)*(d + 2)**2/3
Factor -2*n**2/9 - 2164*n/9 - 585362/9.
-2*(n + 541)**2/9
Find p, given that -12*p**4 + 1672*p**3 + 4528*p**2 + 2272*p = 0.
-2, -2/3, 0, 142
What is q in -24*q**5 + 138*q**4 - 92*q**3 + 80*q**2/9 + 52*q/9 - 10/9 = 0?
-1/4, 1/3, 5
Solve -12*j**4 + 51*j**3 + 93*j**2 - 204*j - 180 = 0 for j.
-2, -3/4, 2, 5
Factor 4*r**3 - 276*r**2 + 536*r.
4*r*(r - 67)*(r - 2)
Find a such that -3*a**3 - 165*a**2 - 1149*a - 987 = 0.
-47, -7, -1
Solve -3*v**3 - 885*v**2 = 0.
-295, 0
Solve -d**2 - 270*d - 1064 = 0 for d.
-266, -4
Factor -2*o**3/5 - 6*o**2/5 + 12*o/5 + 16/5.
-2*(o - 2)*(o + 1)*(o + 4)/5
Factor 4*o**2 + 2392*o + 357604.
4*(o + 299)**2
Factor -5*s**2 + 1560*s + 3140.
-5*(s - 314)*(s + 2)
Suppose -2*f**5/3 + 16*f**4/3 - 16*f**3 + 64*f**2/3 - 32*f/3 = 0. Calculate f.
0, 2
Find j, given that 8*j**5/9 - 8*j**4/9 - 86*j**3/9 + 68*j**2/9 + 14*j + 4 = 0.
-3, -1/2, 2, 3
Find o, given that -3*o**5 - 9*o**4 + 9*o**3 + 33*o**2 + 18*o = 0.
-3, -1, 0, 2
Factor -p**4/2 + 4279*p**3/2 - 6100425*p**2/2 + 2893623509*p/2 + 2905841483.
-(p - 1427)**3*(p + 2)/2
Factor -s**3/5 - 15*s**2 - 1443*s/5 - 1369/5.
-(s + 1)*(s + 37)**2/5
Let -d**4 - 47*d**3 - 135*d**2 - 133*d - 44 = 0. What is d?
-44, -1
Factor 4*n**2 + 40*n + 36.
4*(n + 1)*(n + 9)
Let c**2 + 1310*c + 1309 = 0. Calculate c.
-1309, -1
Solve -3*d**5 + 15*d**4 - 18*d**3 - 12*d**2 + 24*d = 0.
-1, 0, 2
Find q, given that 2*q**4/7 - 4*q**3/7 - 10*q**2/7 + 12*q/7 = 0.
-2, 0, 1, 3
Determine a, given that -3*a**3/7 - 1128*a**2/7 + 9168*a/7 - 18432/7 = 0.
-384, 4
Factor 5*g**4 - 130*g**3 - 935*g**2 - 800*g.
5*g*(g - 32)*(g + 1)*(g + 5)
Let -a**5/8 + a**4 + 3*a**3/2 - 13*a**2/4 -