8*s**2/3 + 250*s - 372 = 0.
3, 186
Find g such that -g**3/2 + 313*g**2/2 - 24955*g/2 + 72075/2 = 0.
3, 155
Solve 4*b**3 + 12*b**2 - 40*b = 0 for b.
-5, 0, 2
Suppose -3*q**5 + 37*q**4 - 73*q**3 + 27*q**2 + 32*q - 20 = 0. Calculate q.
-2/3, 1, 10
Let 4*w**2/9 - 520*w/3 + 16900 = 0. Calculate w.
195
Factor -z**5/4 + 7*z**4/4 - 11*z**3/4 + 5*z**2/4.
-z**2*(z - 5)*(z - 1)**2/4
Suppose y**4/2 - 4*y**3 - y**2/2 + 4*y = 0. What is y?
-1, 0, 1, 8
Determine b, given that 15*b**3 + 333*b**2/2 + 339*b/2 + 45 = 0.
-10, -3/5, -1/2
Factor -2*w**2 - 790*w - 1572.
-2*(w + 2)*(w + 393)
Factor -172*x**2/3 + 284*x + 40/3.
-4*(x - 5)*(43*x + 2)/3
Suppose -4*i**5 + 16*i**4 - 20*i**3 + 8*i**2 = 0. What is i?
0, 1, 2
Factor 2*g**4/13 - 70*g**3/13 + 900*g**2/13 - 5000*g/13 + 10000/13.
2*(g - 10)**3*(g - 5)/13
Suppose 4*s**5 - 12*s**4 + 8*s**3 + 8*s**2 - 12*s + 4 = 0. Calculate s.
-1, 1
Solve u**5/3 + 7*u**4/3 - 13*u**3/3 - 175*u**2/3 - 100*u = 0 for u.
-5, -4, -3, 0, 5
Factor -2*y**4 + 12*y**3 - 8*y**2 - 48*y + 64.
-2*(y - 4)*(y - 2)**2*(y + 2)
Solve -4*x**4 + 60*x**3 - 48*x**2 - 112*x = 0.
-1, 0, 2, 14
Factor 2*r**4 + 438*r**3 + 1728*r**2 + 1720*r.
2*r*(r + 2)**2*(r + 215)
Solve -2*d**3 + 54*d - 108 = 0.
-6, 3
Let s**5 - 38*s**4 - 122*s**3 - 44*s**2 + 121*s + 82 = 0. What is s?
-2, -1, 1, 41
Determine g so that 2*g**3 + 10*g**2 - 24*g - 72 = 0.
-6, -2, 3
Find j, given that 9*j**4 + 1128*j**3 - 1911*j**2 - 762*j = 0.
-127, -1/3, 0, 2
Factor 3*w**3 - 48*w**2 + 87*w - 42.
3*(w - 14)*(w - 1)**2
Suppose -v**5/4 + v**4/2 + 3*v**3/4 = 0. Calculate v.
-1, 0, 3
Let 4*y**4 - 12*y**2 - 8*y = 0. Calculate y.
-1, 0, 2
Let 5*p**5 + 55*p**4 - 65*p**3 - 655*p**2 + 660*p = 0. Calculate p.
-11, -4, 0, 1, 3
Factor 15*t**4 + 35*t**3 + 25*t**2 + 5*t.
5*t*(t + 1)**2*(3*t + 1)
Determine t so that -3*t**3/5 + 24*t**2/5 + 21*t - 882/5 = 0.
-6, 7
Factor 2*s**5/5 + 12*s**4/5 - 2088*s**3/5 - 3888*s**2 + 559872*s/5 + 6718464/5.
2*(s - 24)**2*(s + 18)**3/5
Factor 2*y**4/11 - 60*y**3/11 + 306*y**2/11 - 432*y/11.
2*y*(y - 24)*(y - 3)**2/11
Solve 5*f**3 - 160*f**2 + 1345*f - 1190 = 0 for f.
1, 14, 17
Factor -5*a**3 + 125*a**2 - 755*a + 1275.
-5*(a - 17)*(a - 5)*(a - 3)
Factor 2*c**2 + 140*c + 2450.
2*(c + 35)**2
Factor 2*a**4 - 312*a**3 + 18144*a**2 - 465696*a + 4445280.
2*(a - 42)**3*(a - 30)
Determine r, given that 2*r**5/17 + 18*r**4/17 + 46*r**3/17 - 18*r**2/17 - 216*r/17 - 216/17 = 0.
-3, -2, 2
Suppose -15*h**5 + 69*h**4 + 1065*h**3 - 4521*h**2 - 7854*h - 2352 = 0. Calculate h.
-8, -1, -2/5, 7
Suppose 49*v**5/10 + 7*v**4/2 - 31*v**3/5 - 17*v**2/5 + 13*v/10 - 1/10 = 0. What is v?
-1, 1/7, 1
Factor -3*x**4 - 102*x**3 - 816*x**2 - 1338*x - 621.
-3*(x + 1)**2*(x + 9)*(x + 23)
Determine b, given that 5*b**4 + 575*b**3 + 4890*b**2 + 12800*b + 8480 = 0.
-106, -4, -1
Factor -a**3 + 531*a**2/4 - 395*a/4 - 33.
-(a - 132)*(a - 1)*(4*a + 1)/4
Let -f**4 + 4*f**3 + f**2 - 16*f + 12 = 0. What is f?
-2, 1, 2, 3
Solve -3*g**5 + 36*g**4 - 60*g**3 - 330*g**2 + 63*g + 294 = 0 for g.
-2, -1, 1, 7
Let x**3/4 - 2*x**2 - x/4 + 2 = 0. What is x?
-1, 1, 8
Suppose -s**2 + 71*s - 330 = 0. What is s?
5, 66
Factor n**3/2 - 6*n**2 - 199*n/2 + 105.
(n - 21)*(n - 1)*(n + 10)/2
Suppose -2*r**5/21 - 8*r**4/3 - 530*r**3/21 - 1996*r**2/21 - 3256*r/21 - 1936/21 = 0. What is r?
-11, -2
Solve -b**3/8 - 139*b**2/8 - 535*b/8 + 675/8 = 0 for b.
-135, -5, 1
Factor 4*m**2 - 1708*m - 1712.
4*(m - 428)*(m + 1)
Factor 3*a**3 + 198*a**2 - 405*a + 204.
3*(a - 1)**2*(a + 68)
Determine d so that -4*d**5 + 40*d**4 - 48*d**3 - 344*d**2 + 692*d - 336 = 0.
-3, 1, 4, 7
Determine w, given that 18*w**3 - 2326*w**2 + 516*w = 0.
0, 2/9, 129
Factor z**2/7 + z/7.
z*(z + 1)/7
Determine l so that -l**3/12 + l**2/4 + 4*l/3 + 1 = 0.
-2, -1, 6
Let -49*k**5 + 259*k**4 - 435*k**3 + 225*k**2 = 0. Calculate k.
0, 1, 15/7
Factor 4*q**3 + 40*q**2 + 128*q + 128.
4*(q + 2)*(q + 4)**2
Factor 3*z**3 + 66*z**2 - 141*z + 72.
3*(z - 1)**2*(z + 24)
Solve -2*l**4/3 - 22*l**3/3 - 24*l**2 - 32*l/3 + 128/3 = 0.
-4, 1
Factor -5*g**3 - 125*g**2 - 330*g.
-5*g*(g + 3)*(g + 22)
Factor -a**5 + 6*a**4 + 8*a**3 - 96*a**2 + 128*a.
-a*(a - 4)**2*(a - 2)*(a + 4)
Factor -u**4/2 - 5*u**3/2 + 12*u**2.
-u**2*(u - 3)*(u + 8)/2
Find t, given that 3*t**5 + 15*t**4 - 42*t**3 = 0.
-7, 0, 2
Solve -4*u**3/9 + 8344*u**2/3 - 17405584*u/3 + 36308048224/9 = 0 for u.
2086
Let 8*a**4/19 + 50*a**3/19 + 12*a**2/19 - 256*a/19 - 64/19 = 0. Calculate a.
-4, -1/4, 2
Determine o, given that -5*o**3 - 85*o**2 - 280*o - 260 = 0.
-13, -2
Determine r so that 7*r**3/2 - 85*r**2 - 127*r/2 + 25 = 0.
-1, 2/7, 25
Factor -3*i**2 - 42*i - 72.
-3*(i + 2)*(i + 12)
Find m, given that 169*m**4/5 + 416*m**3/5 + 334*m**2/5 + 96*m/5 + 9/5 = 0.
-1, -3/13
Let 2*i**3/9 - 46*i**2/9 + 20*i = 0. Calculate i.
0, 5, 18
What is u in -3*u**3 + 30*u**2 - 93*u + 90 = 0?
2, 3, 5
Factor a**5/5 + 393*a**4/5 - 394*a**3/5.
a**3*(a - 1)*(a + 394)/5
Factor -2*a**4/3 - 4*a**3/3 + 8*a**2/3 + 16*a/3.
-2*a*(a - 2)*(a + 2)**2/3
Solve -5*v**5 + 45*v**4 - 140*v**3 + 180*v**2 - 80*v = 0 for v.
0, 1, 2, 4
Find o, given that -o**2/2 + 22*o + 46 = 0.
-2, 46
Factor -75*s**4 + 135*s**3 + 117*s**2/4 + 3*s/2.
-3*s*(s - 2)*(10*s + 1)**2/4
Let w**5/4 - 5*w**4/4 - 39*w**3/4 + 265*w**2/4 - 175*w/2 = 0. What is w?
-7, 0, 2, 5
Solve b**4/10 - b**3/10 - b**2 - 4*b/5 = 0.
-2, -1, 0, 4
Factor j**3/6 + 7*j**2/2 + 33*j/2 - 121/6.
(j - 1)*(j + 11)**2/6
Solve -20*x**3/3 - 256*x**2/3 - 304*x - 192 = 0 for x.
-6, -4/5
Factor 3*g**2 + 14937*g.
3*g*(g + 4979)
Find k, given that -5*k**3 - 2440*k**2 - 4865*k - 2430 = 0.
-486, -1
Factor 4*n**2 + 24*n.
4*n*(n + 6)
Suppose y**5 + 24*y**4/7 - 376*y**3/7 + 822*y**2/7 - 207*y/7 - 270/7 = 0. Calculate y.
-10, -3/7, 1, 3
Factor 3*n**4 - 3*n**2.
3*n**2*(n - 1)*(n + 1)
Factor 3*k**2 + 360*k + 10800.
3*(k + 60)**2
Factor -15*o**3 + 2890*o**2 - 1915*o - 960.
-5*(o - 192)*(o - 1)*(3*o + 1)
Determine x so that -x**4/9 + 16*x**3/3 + 50*x**2/9 - 16*x/3 - 49/9 = 0.
-1, 1, 49
Find d such that -3*d**4 - 9*d**3 + 12*d**2 + 36*d = 0.
-3, -2, 0, 2
Factor c**3/5 - 17*c**2/5 + 62*c/5 + 16.
(c - 10)*(c - 8)*(c + 1)/5
Find m, given that -m**4 + 3*m**2 - 2*m = 0.
-2, 0, 1
Factor r**3/2 + 73*r**2/6 + 220*r/3 + 392/3.
(r + 4)**2*(3*r + 49)/6
Factor -4*u**2 + 96*u - 320.
-4*(u - 20)*(u - 4)
Let 25*d**2 + 115*d - 50 = 0. What is d?
-5, 2/5
Factor -4*h**2 - 456*h - 452.
-4*(h + 1)*(h + 113)
Factor -3*v**5 - 45*v**4 - 150*v**3 - 210*v**2 - 135*v - 33.
-3*(v + 1)**4*(v + 11)
Factor -2*k**3 - 232*k**2 - 886*k + 1120.
-2*(k - 1)*(k + 5)*(k + 112)
Find m, given that 2*m**4/15 - 16*m**3/15 - 2*m**2/5 + 52*m/15 - 32/15 = 0.
-2, 1, 8
Factor -21*j**3 - 417*j**2 + 60*j.
-3*j*(j + 20)*(7*j - 1)
Factor 3*f**5/7 + 9*f**4/7 - 3*f**3 - 3*f**2 + 54*f/7 - 24/7.
3*(f - 1)**3*(f + 2)*(f + 4)/7
Let -5*d**2 + 20*d + 700 = 0. What is d?
-10, 14
Factor 3*q**3 + 24*q**2.
3*q**2*(q + 8)
Let 4*s**4 + 152*s**3/5 - 64*s**2/5 = 0. What is s?
-8, 0, 2/5
Factor -3*f**4/8 - 21*f**3/8 - 45*f**2/8 - 27*f/8.
-3*f*(f + 1)*(f + 3)**2/8
Let 4*a**3 - 320*a**2 + 316*a = 0. What is a?
0, 1, 79
Factor 8*y**2 - 15*y/2 - 1/2.
(y - 1)*(16*y + 1)/2
Factor i**3 - 10*i**2 - 75*i.
i*(i - 15)*(i + 5)
Solve -2*l**3/7 + 6*l**2/7 - 6*l/7 + 2/7 = 0 for l.
1
Let u**4/4 - 5*u**3/4 = 0. Calculate u.
0, 5
Factor -2*y**3 - 24*y**2 + 2*y + 24.
-2*(y - 1)*(y + 1)*(y + 12)
Determine t, given that -4*t**3 + 160*t**2 - 444*t = 0.
0, 3, 37
Let 8*r**4/9 + 4*r**3/3 - 16*r**2/9 - 4*r/3 + 8/9 = 0. What is r?
-2, -1, 1/2, 1
Let -3*m**5 - 28*m**4 - 229*m**3/3 - 106*m**2/3 + 160*m/3 - 32/3 = 0. What is m?
-4, -2, 1/3
Factor 2*j**2/11 + 4*j/11 + 2/11.
2*(j + 1)**2/11
Factor -3*a**3 - 72*a**2 - 303*a - 342.
-3*(a + 2)*(a + 3)*(a + 19)
Factor 2*a**3/17 + 14*a**2/17 + 14*a/17 - 30/17.
2*(a - 1)*(a + 3)*(a + 5)/17
Determine u so that -97*u**3 + 195*u**2 - 99*u + 1 = 0.
1/97, 1
Solve 5*i**3 - 305*i**2 + 300*i = 0 for i.
0, 1, 60
What is k in -2*k**5/3 - 4*k**4/3 + 34*k**3/3 + 140*k**2/3 + 184*k/3 + 80/3 = 0?
-2, -1, 5
Find q such that -2*q**2/3 - 1290*q + 3872/3 = 0.
-1936, 1
What is m in -2*m**4 + 26*m**3 + 130*m**2 + 102*m = 0?
-3, -1, 0, 17
What is a in -25*a**5 - 70*a**4 - 60*a**3 - 10*a**2 + 5*a = 0?
-1, 0, 1/5
Suppose -8*h**4/5 - 1202*h**3/5 - 60*h**2 = 0. What is h?
-150, -1/4, 0
Factor -4*q**2/3 + 184*q/3 - 820/3.
-4*(q - 41)*(