*4/11 + 64*r**3/11 + 40*r**2/11 = 0?
-10, -2, -1, 0
Suppose b**2/2 - b + 1/2 = 0. Calculate b.
1
Solve 7*o**4/5 - 48*o**3/5 - 77*o**2/5 + 102*o/5 + 16/5 = 0.
-2, -1/7, 1, 8
Factor o**4/5 - 3*o**3/5 - 2*o**2.
o**2*(o - 5)*(o + 2)/5
Solve j**2 - 11*j - 26 = 0.
-2, 13
Let 9*v**5/5 - 24*v**4/5 + 3*v**3/5 + 24*v**2/5 - 12*v/5 = 0. What is v?
-1, 0, 2/3, 1, 2
Factor -2*z**3 + 182*z**2.
-2*z**2*(z - 91)
Solve -8*k**2 - 684*k - 340 = 0.
-85, -1/2
Factor 2*f**4/5 - 2*f**3/5.
2*f**3*(f - 1)/5
Factor 2*f**4/3 - 4*f**3/3 - 8*f**2 + 16*f/3 + 64/3.
2*(f - 4)*(f - 2)*(f + 2)**2/3
Suppose -81*u**5 - 423*u**4/4 + 231*u**3/2 + 3*u**2 - 6*u = 0. What is u?
-2, -2/9, 0, 1/4, 2/3
Let -j**3 - 533*j**2 + j + 533 = 0. Calculate j.
-533, -1, 1
Find t, given that -2*t**2/11 - 36*t/11 - 64/11 = 0.
-16, -2
Factor 2*r**5/3 - 14*r**4/3 + 22*r**3/3 - 10*r**2/3.
2*r**2*(r - 5)*(r - 1)**2/3
Solve 4*b**4 - 92*b**3 + 392*b**2 - 592*b + 288 = 0 for b.
1, 2, 18
Factor 12*s**3/7 + 204*s**2 - 1437*s/7 + 360/7.
3*(s + 120)*(2*s - 1)**2/7
Factor 7*c**3/6 - 103*c**2/6 - 71*c/3 - 16/3.
(c - 16)*(c + 1)*(7*c + 2)/6
Factor r**4/4 + r**3 - 3*r**2/2 - r + 5/4.
(r - 1)**2*(r + 1)*(r + 5)/4
Factor 3*o**3 + 3*o**2 - 78*o + 72.
3*(o - 4)*(o - 1)*(o + 6)
Suppose 5*q**4 - 10*q**3 + 10*q - 5 = 0. What is q?
-1, 1
Factor 958*v**3/17 + 20*v**2/17.
2*v**2*(479*v + 10)/17
Solve 3*t**5/5 - 54*t**4/5 + 204*t**3/5 - 18*t**2 - 351*t/5 = 0.
-1, 0, 3, 13
Let 3*c**2/4 - 21*c/4 + 9 = 0. Calculate c.
3, 4
Factor 2*x**4 + 34*x**3/3 + 182*x**2/9 + 98*x/9.
2*x*(x + 1)*(3*x + 7)**2/9
Solve g**3 - 14*g**2/3 - 7*g/3 + 10/3 = 0 for g.
-1, 2/3, 5
Solve -20*i**5 + 95*i**4 - 15*i**3 - 410*i**2 + 380*i + 120 = 0 for i.
-2, -1/4, 2, 3
Suppose 4*q**2 - 7016*q = 0. Calculate q.
0, 1754
Factor 4*x**2 - 352*x.
4*x*(x - 88)
Factor -z**5 - 5*z**4 - 8*z**3 - 4*z**2.
-z**2*(z + 1)*(z + 2)**2
Solve -t**2/2 - 650*t - 3891/2 = 0 for t.
-1297, -3
Factor 18*g**4/7 - 814*g**3/7 + 180*g**2/7.
2*g**2*(g - 45)*(9*g - 2)/7
Factor -k**2/7 - 4*k/7.
-k*(k + 4)/7
Determine x, given that -5*x**5 - 215*x**4 + 470*x**3 + 860*x**2 - 1800*x = 0.
-45, -2, 0, 2
Determine t, given that 6*t**4 - 2*t**3 - 8*t**2 = 0.
-1, 0, 4/3
Determine u so that 3*u**3/7 + 409*u**2/7 - 2848*u/7 + 1716/7 = 0.
-143, 2/3, 6
Factor -2*j**2/9 + 272*j/9 + 274/9.
-2*(j - 137)*(j + 1)/9
Find h, given that 4*h**2 - 48*h + 80 = 0.
2, 10
Solve z**4 + 9*z**3 - 249*z**2 - 541*z + 780 = 0.
-20, -3, 1, 13
Let -2*o**3/5 - 68*o**2/5 - 54*o/5 + 396/5 = 0. What is o?
-33, -3, 2
Solve 2*c**5/3 - c**4/3 - 2*c**3 - c**2/3 + 2*c/3 = 0.
-1, 0, 1/2, 2
Let -d**2 - 23*d + 50 = 0. What is d?
-25, 2
Let -484*f**2 - 2640*f - 3600 = 0. Calculate f.
-30/11
Factor n**4 + 6*n**3 - n**2 - 6*n.
n*(n - 1)*(n + 1)*(n + 6)
Suppose -a**2/6 + 5*a/6 - 2/3 = 0. What is a?
1, 4
What is b in -4*b**4 - 2824*b**3 - 498436*b**2 = 0?
-353, 0
Factor 2*o**2 - 56*o + 104.
2*(o - 26)*(o - 2)
Suppose s**3/6 - 45*s**2/2 + 792*s - 2178 = 0. What is s?
3, 66
Factor 4*j**5 - 12*j**4 - 16*j**3.
4*j**3*(j - 4)*(j + 1)
Solve 5*r**3 - 140*r**2 - 300*r = 0.
-2, 0, 30
Find f, given that 10*f**5/3 + 194*f**4/3 - 198*f**3 - 458*f**2/3 + 584*f/3 + 88 = 0.
-22, -1, -2/5, 1, 3
Let 2*c**5 - 16*c**3 + 12*c**2 + 14*c - 12 = 0. Calculate c.
-3, -1, 1, 2
Solve 4*n**3 + 16*n**2 = 0 for n.
-4, 0
Suppose 2*l**5 - 172*l**4/7 + 146*l**3/7 + 236*l**2 + 920*l/7 - 400/7 = 0. What is l?
-2, -1, 2/7, 5, 10
Find h, given that 5*h**2 + 250*h + 3125 = 0.
-25
Find g, given that -8*g**5 + 136*g**4 - 762*g**3 + 1408*g**2 + 286*g - 2028 = 0.
-1, 2, 3, 13/2
Factor 4*v**4/5 + 216*v**3/5 + 2436*v**2/5 - 13456*v/5.
4*v*(v - 4)*(v + 29)**2/5
Determine k so that 7*k**5/5 + 29*k**4/5 + 32*k**3/5 + 4*k**2/5 = 0.
-2, -1/7, 0
Factor 2*q**3/3 + 16*q**2/3 + 26*q/3 + 4.
2*(q + 1)**2*(q + 6)/3
Solve v**2 + 55*v - 56 = 0.
-56, 1
Determine b so that -2*b**5/9 - 46*b**4/9 - 130*b**3/3 - 1466*b**2/9 - 2296*b/9 - 392/3 = 0.
-7, -6, -2, -1
Let -2*y**2 - 90*y + 92 = 0. What is y?
-46, 1
Find o, given that -2*o**2/11 - 2*o - 36/11 = 0.
-9, -2
Factor 5*q**2 + 140*q - 145.
5*(q - 1)*(q + 29)
Factor -5*n**4/3 - 80*n**3/3 - 260*n**2/3 - 80*n.
-5*n*(n + 2)**2*(n + 12)/3
Solve -3*q**3/4 + 21*q**2/2 - 195*q/4 + 75 = 0 for q.
4, 5
Factor -5*k**4 + 90*k**3 - 420*k**2 + 760*k - 480.
-5*(k - 12)*(k - 2)**3
Factor p**4 - 15*p**3 - 87*p**2 + 215*p - 114.
(p - 19)*(p - 1)**2*(p + 6)
Suppose -5*x**3 - 32*x**2 + 23*x + 14 = 0. What is x?
-7, -2/5, 1
Suppose s**5/3 - 22*s**4/3 + 25*s**3 - 18*s**2 = 0. What is s?
0, 1, 3, 18
Factor -2*s**2 - 220*s/3 - 48.
-2*(s + 36)*(3*s + 2)/3
Suppose 5*l**3 + 80*l**2 + 260*l + 240 = 0. Calculate l.
-12, -2
Factor -3*a**3 - 69*a**2 + 228*a - 156.
-3*(a - 2)*(a - 1)*(a + 26)
Factor -5*n**4 + 10*n**3 + 375*n**2 + 1240*n + 880.
-5*(n - 11)*(n + 1)*(n + 4)**2
Find l such that 2*l**4/3 - 8*l**3/3 - 26*l**2/3 + 80*l/3 + 32 = 0.
-3, -1, 4
Determine v, given that -2*v**2/3 - 82*v/3 + 120 = 0.
-45, 4
Find k such that -2*k**2/23 - 130*k/23 - 812/23 = 0.
-58, -7
Let -3*j**2 - 45*j + 972 = 0. What is j?
-27, 12
Find j, given that 2*j**4 - 68*j**3 + 64*j**2 + 68*j - 66 = 0.
-1, 1, 33
Suppose -2*r**5/7 - 648*r**4/7 - 51178*r**3/7 + 211892*r**2/7 - 267648*r/7 + 107584/7 = 0. Calculate r.
-164, 1, 2
What is i in 4*i**4/5 - 504*i**3/5 + 3460*i**2 - 17760*i + 14400 = 0?
1, 5, 60
Determine t, given that -2*t**3 - 38*t**2 - 128*t - 120 = 0.
-15, -2
Determine d, given that -3*d**4 + 12*d**3 + 12*d**2 - 48*d = 0.
-2, 0, 2, 4
Find l such that -3*l**3 - 18*l**2 + 3*l + 18 = 0.
-6, -1, 1
Suppose -s**5/6 - 143*s**4/6 - 233*s**3/2 - 1249*s**2/6 - 484*s/3 - 46 = 0. Calculate s.
-138, -2, -1
Factor 625*c**4/9 + 91000*c**3/9 + 1656200*c**2/3 + 120571360*c/9 + 1097199376/9.
(5*c + 182)**4/9
Solve 2*p**2/11 - 240*p/11 + 7200/11 = 0.
60
Let -2*b**3/3 + 134*b**2/3 - 512*b/3 + 168 = 0. What is b?
2, 63
Factor -l**2 + 6*l.
-l*(l - 6)
Factor -x**5/6 - x**4/6 + x**3/6 + x**2/6.
-x**2*(x - 1)*(x + 1)**2/6
Solve 2*n**5 - 10*n**4 + 16*n**3 - 8*n**2 = 0.
0, 1, 2
Suppose 4*o**5/17 + 54*o**4/17 + 154*o**3/17 + 144*o**2/17 + 40*o/17 = 0. Calculate o.
-10, -2, -1, -1/2, 0
Solve 2*i**5/5 + 6*i**4/5 - 2*i**3/5 - 14*i**2/5 + 8/5 = 0.
-2, -1, 1
Find i, given that 4*i**3/7 - 4644*i**2/7 + 4640*i/7 = 0.
0, 1, 1160
Solve x**4/10 - 96*x**3/5 - 97*x**2/5 + 96*x/5 + 193/10 = 0.
-1, 1, 193
Factor c**4 + 41*c**3 + 40*c**2.
c**2*(c + 1)*(c + 40)
Determine n, given that n**4/2 + 5*n**3/6 - 23*n**2/6 + 19*n/6 - 2/3 = 0.
-4, 1/3, 1
Determine u so that u**2/2 + 11*u/2 - 21 = 0.
-14, 3
Factor 2*o**3/3 - 14*o**2/3 + 16*o/3 + 32/3.
2*(o - 4)**2*(o + 1)/3
Let -5*z**4 + 75*z**3 - 65*z**2 - 75*z + 70 = 0. What is z?
-1, 1, 14
Factor -3*o**2 - 144*o.
-3*o*(o + 48)
Factor -2*g**3/9 + 70*g**2 - 16432*g/3 - 49928/9.
-2*(g - 158)**2*(g + 1)/9
Find v, given that -2*v**5/3 + 10*v**3/3 - 8*v/3 = 0.
-2, -1, 0, 1, 2
Factor 6*y**3 - 39*y**2 + 45*y.
3*y*(y - 5)*(2*y - 3)
Factor 4*s**4 + 356*s**3 + 3572*s**2 + 11020*s + 7800.
4*(s + 1)*(s + 5)**2*(s + 78)
Let -5*u**5 + 15*u**4 + 5*u**3 - 55*u**2 + 60*u - 20 = 0. What is u?
-2, 1, 2
Factor 2*w**5 + 36*w**4 + 258*w**3 + 920*w**2 + 1632*w + 1152.
2*(w + 3)**2*(w + 4)**3
Factor z**5 - 29*z**4 + 55*z**3 - 27*z**2.
z**2*(z - 27)*(z - 1)**2
Factor p**5/2 + p**4 - 7*p**3/2 - 10*p**2 - 6*p.
p*(p - 3)*(p + 1)*(p + 2)**2/2
Determine b so that -b**5/3 + 3*b**4 + 16*b**3 + 52*b**2/3 = 0.
-2, 0, 13
Solve -2*w**5 + 14*w**3 - 4*w**2 - 24*w + 16 = 0 for w.
-2, 1, 2
Factor -18*i**4 - 15*i**3 + 39*i**2 - 6*i.
-3*i*(i - 1)*(i + 2)*(6*i - 1)
Let -2*w**2/9 + 32*w/3 - 128 = 0. Calculate w.
24
Find q, given that -2*q**2/13 + 8*q/13 + 120/13 = 0.
-6, 10
Solve -3*q**2 + 159*q = 0 for q.
0, 53
Factor -2*a**3/5 + 26*a**2/5.
-2*a**2*(a - 13)/5
Factor -g**2/4 - g/2 + 63/4.
-(g - 7)*(g + 9)/4
Find y, given that -16*y**5 - 24*y**4 + 87*y**3 + 47*y**2 + 6*y = 0.
-3, -1/4, 0, 2
Let 6*m**2 + 1040*m + 346 = 0. Calculate m.
-173, -1/3
Factor -2*l**2/9 - 742*l/9 + 248/3.
-2*(l - 1)*(l + 372)/9
Let 3*f**2 - 48*f - 108 = 0. Calculate f.
-2, 18
Let x**3 + 426*x**2 + 44940*x - 91592 = 0. What is x?
-214, 2
Factor 12*c**3/7 + 9*c**2/7.
3*c**2*(4*c + 3)/7
Factor 5*n**4/3 - 19*n**3/3 + 7*n**2 - 5*n/3 - 2/3.
(n - 2)*(n - 1)**2*(5*n + 1)/3
Let -n**5/2 - 31*n**4/2 - 112*n**3 + 128*n**2 = 0. What is n?
-16, 0, 1
Factor -3*x**3 + 45*x