etermine x, given that 2*x**4 - 86*x**3 + 774*x**2 + 3542*x - 4232 = 0.
-4, 1, 23
Suppose -2*a**4 - 10*a**3 + 42*a**2 - 46*a + 16 = 0. What is a?
-8, 1
Factor -j**4/4 - 1506*j**3 - 2268036*j**2.
-j**2*(j + 3012)**2/4
Factor -l**2/2 - 16*l + 34.
-(l - 2)*(l + 34)/2
Factor -g**3/6 - 61*g**2/6 + 32*g/3 + 62/3.
-(g - 2)*(g + 1)*(g + 62)/6
Determine l, given that 5*l**2 + 320*l + 315 = 0.
-63, -1
Let -2*a**4 + 46*a**3 - 126*a**2 + 122*a - 40 = 0. Calculate a.
1, 20
Factor -2*y**2 + 20128*y - 50642048.
-2*(y - 5032)**2
Factor -49*u**3 + 280*u**2 + 83*u + 6.
-(u - 6)*(7*u + 1)**2
Find r, given that 4*r**4 + 136*r**3 = 0.
-34, 0
What is g in 4*g**4 - 152*g**3 + 1104*g**2 + 6368*g + 7040 = 0?
-2, 20, 22
Solve 3*w**2/5 + 44*w/5 - 3 = 0.
-15, 1/3
Let -2*r**5 - 61*r**4/4 - 119*r**3/4 - 13*r**2/4 + 127*r/4 + 37/2 = 0. What is r?
-37/8, -2, -1, 1
Find r, given that -2*r**3/11 + 20*r**2/11 + 2*r = 0.
-1, 0, 11
What is t in -4*t**4 + 160*t**3 + 532*t**2 - 640*t - 2064 = 0?
-3, -2, 2, 43
Factor 5*x**3 - 5155*x**2 + 5150*x.
5*x*(x - 1030)*(x - 1)
Factor k**4/4 + 17*k**3/4 + 19*k**2 + 15*k.
k*(k + 1)*(k + 6)*(k + 10)/4
Determine w so that -w**3 + 14*w**2 + 112*w + 160 = 0.
-4, -2, 20
Factor -3*a**3 + 96*a**2 + 213*a - 306.
-3*(a - 34)*(a - 1)*(a + 3)
Factor -g**5 - g**4 + 3*g**3 + g**2 - 2*g.
-g*(g - 1)**2*(g + 1)*(g + 2)
Factor -2*x**5/11 + 114*x**4/11 - 1566*x**3/11 - 1682*x**2/11.
-2*x**2*(x - 29)**2*(x + 1)/11
What is a in -a**2/9 - 1196*a/9 - 357604/9 = 0?
-598
Factor 4*i**3 - 4*i**2 - 4*i + 4.
4*(i - 1)**2*(i + 1)
Factor 3*c**2 + 384*c - 387.
3*(c - 1)*(c + 129)
Suppose -2*t**5/3 + 120*t**4 - 356*t**3 + 1064*t**2/3 - 118*t = 0. Calculate t.
0, 1, 177
Solve -d**5/5 - 4*d**4/5 + d**3 = 0 for d.
-5, 0, 1
Factor m**3/2 + 52*m**2 + 202*m + 200.
(m + 2)**2*(m + 100)/2
Factor -i**2 - 10*i + 119.
-(i - 7)*(i + 17)
Find b such that 4*b**2/9 + 64*b/9 + 256/9 = 0.
-8
Determine u, given that 12*u**4 - 244*u**3 + 692*u**2 - 204*u = 0.
0, 1/3, 3, 17
Factor -5*i**2 + 230*i - 2645.
-5*(i - 23)**2
Factor 5*u**2/2 + 245*u + 12005/2.
5*(u + 49)**2/2
Factor 20*y**4 + 75*y**3 - 20*y**2.
5*y**2*(y + 4)*(4*y - 1)
Suppose 78*b**4 - 160*b**3 + 86*b**2 - 4*b = 0. What is b?
0, 2/39, 1
Suppose 3*k**4 - 744*k**3 - 1497*k**2 - 750*k = 0. What is k?
-1, 0, 250
Solve -k**2/2 - k + 3/2 = 0 for k.
-3, 1
Suppose -4*n**4 + 44*n**3 + 4*n**2 - 44*n = 0. What is n?
-1, 0, 1, 11
Suppose 15*s**5 - 591*s**4 - 2544*s**3 - 2604*s**2 = 0. What is s?
-2, 0, 217/5
Factor -5*m**3/3 - 10*m**2 + 65*m/3 + 70.
-5*(m - 3)*(m + 2)*(m + 7)/3
Find k such that 3*k**2 + 165*k + 162 = 0.
-54, -1
Factor -4*d**3 + 96*d**2 + 16*d - 384.
-4*(d - 24)*(d - 2)*(d + 2)
Factor -o**3/4 - 71*o**2/4 + 297*o/4 - 225/4.
-(o - 3)*(o - 1)*(o + 75)/4
Factor -2*u**3/7 - 4936*u**2/7 - 9866*u/7 - 4932/7.
-2*(u + 1)**2*(u + 2466)/7
Factor 2*f**2 - 64*f + 62.
2*(f - 31)*(f - 1)
Factor -3*g**3 + 12*g**2 + 12*g - 48.
-3*(g - 4)*(g - 2)*(g + 2)
Factor -4*m**4 + 92*m**3 - 640*m**2 + 1200*m.
-4*m*(m - 10)**2*(m - 3)
Factor -2*f**5/17 - 22*f**4/17 - 84*f**3/17 - 8*f**2 - 80*f/17.
-2*f*(f + 2)**3*(f + 5)/17
Factor u**3 + 5*u**2 + 4*u.
u*(u + 1)*(u + 4)
Factor 8*w**2/25 + 966*w/25 - 242/25.
2*(w + 121)*(4*w - 1)/25
Solve -u**2/4 + 207*u/2 - 413/4 = 0 for u.
1, 413
Factor 4*x**2 + 48*x + 80.
4*(x + 2)*(x + 10)
Suppose z**2/5 - 2442*z/5 + 2441/5 = 0. What is z?
1, 2441
Find j, given that -20*j**5 + 28*j**4 + 136*j**3 = 0.
-2, 0, 17/5
What is k in 33*k**2/5 - k/5 - 4/5 = 0?
-1/3, 4/11
Determine n so that 2*n**3/7 + 82*n**2 - 2320*n/7 + 2328/7 = 0.
-291, 2
Factor y**3/6 - 28*y**2/3 - 121*y/2 - 93.
(y - 62)*(y + 3)**2/6
Determine p, given that -2*p**2 + 20*p = 0.
0, 10
Factor -3*s**2/4 + 3*s - 3.
-3*(s - 2)**2/4
Factor 5*r**3 + 160*r**2/3 + 475*r/3 + 250/3.
5*(r + 5)**2*(3*r + 2)/3
Factor 5*o**2 - 30*o + 45.
5*(o - 3)**2
Factor -18*q**4/5 + 222*q**3/5 - 144*q**2 + 216*q/5.
-6*q*(q - 6)**2*(3*q - 1)/5
What is o in -3*o**2 + 60*o - 288 = 0?
8, 12
Solve -x**2/3 - 160*x/3 + 161/3 = 0 for x.
-161, 1
Factor -r**4 + 2*r**3 + 12*r**2 + 14*r + 5.
-(r - 5)*(r + 1)**3
Factor 2*d**2/7 - 150*d/7 + 148/7.
2*(d - 74)*(d - 1)/7
Determine d, given that 2*d**3 + 224*d**2 + 222*d = 0.
-111, -1, 0
Let 2*b**5 - 2*b**4 - 82*b**3 - 222*b**2 - 144*b = 0. Calculate b.
-3, -1, 0, 8
Let 45*z**5 - 5*z**4 - 90*z**3 + 10*z**2 + 45*z - 5 = 0. Calculate z.
-1, 1/9, 1
Factor -2*a**2 - 3997*a/3 - 222.
-(a + 666)*(6*a + 1)/3
Let -s**5/4 + 9*s**4/4 - 23*s**3/4 + 15*s**2/4 = 0. What is s?
0, 1, 3, 5
Factor -177*w**3 + 168*w**2 + 9*w.
-3*w*(w - 1)*(59*w + 3)
Factor -20*i**3 - 1335*i**2 - 22770*i - 16335.
-5*(i + 33)**2*(4*i + 3)
Suppose 3*j**4 - 48*j**3 - 204*j**2 + 4896*j - 8640 = 0. Calculate j.
-10, 2, 12
Factor -2*f**2/5 - 1276*f/5.
-2*f*(f + 638)/5
Determine t, given that -2*t**5/19 + 18*t**4/19 = 0.
0, 9
Let -4*m**2 + 424*m + 9500 = 0. What is m?
-19, 125
Factor m**2/2 + 4*m - 10.
(m - 2)*(m + 10)/2
Let -i**4 - 27*i**3 + i**2 + 27*i = 0. What is i?
-27, -1, 0, 1
Factor d**5/5 - 11*d**3/5 + 18*d**2/5 - 8*d/5.
d*(d - 2)*(d - 1)**2*(d + 4)/5
Factor -d**5/11 - 49*d**4/11 - 787*d**3/11 - 4707*d**2/11 - 1080*d - 10800/11.
-(d + 3)**3*(d + 20)**2/11
Factor x**2 + 191*x - 386.
(x - 2)*(x + 193)
Find b such that 8*b**5 - 26*b**4 + 6*b**3 + 32*b**2 - 8*b = 0.
-1, 0, 1/4, 2
Suppose 5*a**3 - 5*a = 0. What is a?
-1, 0, 1
Factor 3*x**3/5 + 213*x**2/5 + 777*x + 735.
3*(x + 1)*(x + 35)**2/5
Suppose -4*d**2 - 28976*d - 52475536 = 0. Calculate d.
-3622
Find f such that f**2/5 + 12*f + 180 = 0.
-30
Factor -3*z**3/2 + 153*z**2 - 300*z.
-3*z*(z - 100)*(z - 2)/2
Factor -x**4 - 44*x**3 + 47*x**2 + 90*x.
-x*(x - 2)*(x + 1)*(x + 45)
Factor 4107*n**5/2 + 3885*n**4 + 3231*n**3/2 - 210*n**2 + 6*n.
3*n*(n + 1)**2*(37*n - 2)**2/2
Find t such that 3*t**4 - 36*t**3 - 3*t**2 + 36*t = 0.
-1, 0, 1, 12
What is b in b**4/3 + 5*b**3/3 - 19*b**2 + 33*b = 0?
-11, 0, 3
Determine c, given that 4*c**2 - 802*c = 0.
0, 401/2
Factor -2*l**4/3 + 14*l**3/3 + 16*l**2/3.
-2*l**2*(l - 8)*(l + 1)/3
Factor -2*h**4 + 462*h**3 - 26448*h**2 - 26912*h.
-2*h*(h - 116)**2*(h + 1)
What is n in -2*n**2/7 + 2*n + 88/7 = 0?
-4, 11
Factor 4*h**2/3 - 32*h/3 + 16.
4*(h - 6)*(h - 2)/3
Suppose x**4/2 - 29*x**3/2 - 39*x**2/2 + 261*x/2 + 135 = 0. Calculate x.
-3, -1, 3, 30
What is c in -4*c**5 + 34*c**4 + 20*c**3 - 18*c**2 = 0?
-1, 0, 1/2, 9
Suppose 6*z**4/13 + 22*z**3/13 - 12*z**2 - 112*z/13 = 0. What is z?
-7, -2/3, 0, 4
Suppose 5*b**4 - 75*b**3 + 240*b**2 + 320*b = 0. What is b?
-1, 0, 8
Suppose -2*a**4 + 18*a**3 + 272*a**2 = 0. What is a?
-8, 0, 17
Determine s, given that -265*s**2/8 - 63*s/8 - 1/4 = 0.
-1/5, -2/53
Factor -27*b**4/4 + 387*b**3/4 + 267*b**2/4 + 45*b/4.
-3*b*(b - 15)*(3*b + 1)**2/4
Let -2*p**3/19 - 154*p**2/19 + 832*p/19 + 984/19 = 0. What is p?
-82, -1, 6
Factor -u**4/3 - 2*u**3/3 + 2*u/3 + 1/3.
-(u - 1)*(u + 1)**3/3
Factor -2*p**2 - 15476*p - 29938322.
-2*(p + 3869)**2
Factor -3*q**2/2 + 33*q/2 + 468.
-3*(q - 24)*(q + 13)/2
Factor j**2 + 155*j/3 + 34.
(j + 51)*(3*j + 2)/3
Factor 2*g**2/5 + 5046*g/5.
2*g*(g + 2523)/5
Factor f**3 - 413*f**2/6 + 113*f/2 + 34/3.
(f - 68)*(f - 1)*(6*f + 1)/6
Determine n so that -n**5 - 11*n**4 - 42*n**3 - 64*n**2 - 32*n = 0.
-4, -2, -1, 0
Factor -5*z**2/4 - 192*z + 77.
-(z + 154)*(5*z - 2)/4
Let -2*s**4 - 404*s**3 - 2762*s**2 - 6264*s - 4680 = 0. Calculate s.
-195, -3, -2
Let 20*b**3 + 26*b**2 - 2*b - 8 = 0. What is b?
-1, -4/5, 1/2
Let -h**3/2 - 439*h**2/2 - 875*h/2 - 437/2 = 0. Calculate h.
-437, -1
What is c in -3*c**5 - 120*c**4 - 795*c**3 + 15390*c**2 + 102060*c - 857304 = 0?
-18, 7
Factor -2*g**4/3 - 16*g**3 - 96*g**2.
-2*g**2*(g + 12)**2/3
Factor 2*t**2 - 314*t - 636.
2*(t - 159)*(t + 2)
Solve -2*x**5 + 40*x**4 - 218*x**3 + 508*x**2 - 536*x + 208 = 0.
1, 2, 13
Determine s, given that -3*s**2 + 1596*s + 1599 = 0.
-1, 533
Suppose 2*y**5/7 - 20*y**4/7 + 4*y**3/7 + 272*y**2/7 - 6*y/7 - 36 = 0. What is y?
-3, -1, 1, 6, 7
Let 2*j**4/3 - 6*j**3 + 8*j**2/3 + 24*j - 64/3 = 0. Calculate j.
-2, 1, 2, 8
Factor -2*n**2 - 4*n + 48.
-2*(n - 4)*(n + 6)
Find w such that -578*w**3 - 1326*w**2 + 1152*w - 216 = 0.
-3, 6/17
Factor 11*p**3/3 - 53*p**2/3 + 56*p/3 + 4.
(p - 3)*(p - 2)*(11*p + 2)/3
Factor -3*b**4/5 - 6*b**3/5 + 3*b**2/5 + 6*b/5.
-3*b*(b - 1)*(b + 1)*(b + 2)/5
Factor 201*l**3 - 200*l**2 - l.
l*(