 1)*(f + 2)
Factor 3*q**3 + 1089*q**2 + 131769*q + 5314683.
3*(q + 121)**3
Factor j**4 + 77*j**3 - 238*j**2 + 160*j.
j*(j - 2)*(j - 1)*(j + 80)
What is z in -18*z**2/13 + 4080*z/13 - 231200/13 = 0?
340/3
What is p in -5*p**5 + 30*p**4 + 300*p**3 + 670*p**2 + 585*p + 180 = 0?
-3, -1, 12
Determine b, given that 25*b**2 - 10*b - 15 = 0.
-3/5, 1
Factor -2*g**3/3 + 28*g**2/3 + 110*g/3 - 136/3.
-2*(g - 17)*(g - 1)*(g + 4)/3
Let -9*k**4 - 354*k**3 - 417*k**2 + 1464*k - 684 = 0. Calculate k.
-38, -3, 2/3, 1
Factor -f**3 - 798*f**2 - 212268*f - 18821096.
-(f + 266)**3
Find y, given that 2*y**5 - 38*y**4 + 248*y**3 - 576*y**2 + 864 = 0.
-1, 2, 6
Factor -h**2 - 132*h - 4356.
-(h + 66)**2
Solve v**2 - 11*v + 24 = 0.
3, 8
Suppose 15*j**3 + 1060*j**2 + 8795*j - 3050 = 0. What is j?
-61, -10, 1/3
Let 2*r**2 - 932*r + 1856 = 0. What is r?
2, 464
Find s, given that -4*s**3 - 72*s**2 - 432*s - 864 = 0.
-6
Factor -52*c**2 - 32*c + 144.
-4*(c + 2)*(13*c - 18)
Factor 16*p**3 + 32*p**2 - 44*p + 12.
4*(p + 3)*(2*p - 1)**2
Find t such that -t**3 - 28*t**2 + 63*t + 90 = 0.
-30, -1, 3
Determine t, given that -14*t**3 + 38*t**2 + 264*t + 72 = 0.
-3, -2/7, 6
Suppose k**4 - 9*k**3 - 4*k**2 + 36*k = 0. What is k?
-2, 0, 2, 9
Factor k**4/3 - 5*k**3/3 - 13*k**2/3 - 7*k/3.
k*(k - 7)*(k + 1)**2/3
Factor -a**3/3 + 10*a**2/3 + 277*a/3 + 506/3.
-(a - 23)*(a + 2)*(a + 11)/3
Factor 2*x**3/5 - 22*x**2/5 + 14*x - 10.
2*(x - 5)**2*(x - 1)/5
Factor -z**4/6 - 13*z**3/3 - 23*z**2/2 + 2*z/3 + 46/3.
-(z - 1)*(z + 2)**2*(z + 23)/6
Factor 3*o**3/8 + 9*o**2/8 - 315*o/8 - 1617/8.
3*(o - 11)*(o + 7)**2/8
Let 2*s**4/13 - 16*s**3/13 - 60*s**2/13 + 800*s/13 - 1750/13 = 0. What is s?
-7, 5
Solve s**5/6 + s**4/2 - 13*s**3/6 - 17*s**2/2 - 6*s = 0.
-3, -1, 0, 4
Let -s**3 + 8*s**2 - 15*s = 0. What is s?
0, 3, 5
Let 2*h**4/5 + 32*h**3/5 + 38*h**2 + 496*h/5 + 96 = 0. What is h?
-5, -4, -3
Solve -m**2 + 986*m = 0 for m.
0, 986
Determine i so that -8*i**5 - 164*i**4/5 - 168*i**3/5 + 16*i**2/5 + 32*i/5 = 0.
-2, -1/2, 0, 2/5
Factor -4*c**2 - 18700*c.
-4*c*(c + 4675)
Let 2*u**5 + 18*u**4 - 126*u**3 + 190*u**2 - 84*u = 0. Calculate u.
-14, 0, 1, 3
Suppose -2*t**4/11 + 52*t**3/11 - 42*t**2/11 - 208*t/11 + 200/11 = 0. What is t?
-2, 1, 2, 25
Factor -8*j**2 + 76*j - 36.
-4*(j - 9)*(2*j - 1)
Determine n, given that -n**2/8 - 91*n/2 - 8281/2 = 0.
-182
Determine r, given that 2*r**5 + 148*r**4 + 3144*r**3 + 14960*r**2 + 18496*r = 0.
-34, -4, -2, 0
Factor -4*y**2/5 + 37*y/5 + 6.
-(y - 10)*(4*y + 3)/5
Solve 6*q**3/19 + 20*q**2/19 + 22*q/19 + 8/19 = 0 for q.
-4/3, -1
Determine o so that 3*o**5/2 + 75*o**4 + 213*o**3 + 66*o**2 - 429*o/2 - 141 = 0.
-47, -2, -1, 1
Factor -2*x**2 + 12*x + 110.
-2*(x - 11)*(x + 5)
Find q, given that -2*q**3/3 - 26*q**2/3 + 604*q/3 - 624 = 0.
-26, 4, 9
Factor -5*d**3/6 + 5*d**2 + 25*d/2 + 20/3.
-5*(d - 8)*(d + 1)**2/6
Factor h**2/5 - 128*h/5 + 4096/5.
(h - 64)**2/5
Find i, given that -3*i**3 - 135*i**2 - 1338*i - 2880 = 0.
-32, -10, -3
Suppose 18*f**3 - 176*f**2 - 238*f - 44 = 0. Calculate f.
-1, -2/9, 11
Factor -3*a**4 + 21*a**3 - 9*a**2 - 189*a + 324.
-3*(a - 4)*(a - 3)**2*(a + 3)
Factor v**3/6 - 173*v**2/3 + 29929*v/6.
v*(v - 173)**2/6
Factor 2*v**4/3 - 26*v**2/3 + 8*v.
2*v*(v - 3)*(v - 1)*(v + 4)/3
Determine d, given that 9*d**5/4 + 165*d**4/8 + 453*d**3/8 + 153*d**2/4 - 12*d - 12 = 0.
-4, -1, -2/3, 1/2
Factor -24*i**3/7 + 69*i**2/7 + 150*i/7 - 24.
-3*(i - 4)*(i + 2)*(8*i - 7)/7
Find v such that 2*v**2 - 11656*v + 16982792 = 0.
2914
Factor -4*m**3 + 12*m - 8.
-4*(m - 1)**2*(m + 2)
Let -b**3 + 2*b**2 + 19*b - 20 = 0. Calculate b.
-4, 1, 5
Suppose m**5/8 + 27*m**4/8 + 131*m**3/8 + 105*m**2/8 = 0. Calculate m.
-21, -5, -1, 0
Suppose -2*k**5 - 16*k**4 - 32*k**3 - 4*k**2 + 34*k + 20 = 0. Calculate k.
-5, -2, -1, 1
Factor j**4/3 + 53*j**3 + 52*j**2 - 316*j/3.
j*(j - 1)*(j + 2)*(j + 158)/3
Factor -5*f**2/4 - 55*f/4 - 75/2.
-5*(f + 5)*(f + 6)/4
Factor l**3/5 + 9*l**2/5 - 48*l/5 + 52/5.
(l - 2)**2*(l + 13)/5
Factor 2*q**2/3 + 6*q + 28/3.
2*(q + 2)*(q + 7)/3
Suppose -2*t**4 - 10*t**3 - 10*t**2 + 10*t + 12 = 0. Calculate t.
-3, -2, -1, 1
Solve -5*z**2 - 3625*z - 3620 = 0 for z.
-724, -1
Factor 4*q**3 + 382*q**2 + 190*q.
2*q*(q + 95)*(2*q + 1)
Solve -128*r**2/5 + 608*r - 3610 = 0.
95/8
Factor -3*h**4 + 12*h**3 + 39*h**2 - 120*h - 144.
-3*(h - 4)**2*(h + 1)*(h + 3)
Factor -2*l**2/3 + 134*l/3 - 260/3.
-2*(l - 65)*(l - 2)/3
Determine k, given that 9*k**5 - 303*k**4 - 6042*k**3 - 33930*k**2 - 65775*k - 18375 = 0.
-5, -1/3, 49
Factor -2*r**4 + 932*r**3 - 106698*r**2 - 438040*r - 441800.
-2*(r - 235)**2*(r + 2)**2
Determine g so that -2*g**2 - 424*g - 22472 = 0.
-106
Factor -4*d**2 + 1432*d - 128164.
-4*(d - 179)**2
Determine r so that 9*r**3 + 105*r**2/2 + 21*r - 165/2 = 0.
-5, -11/6, 1
Find z such that 5*z**3 - 295*z**2 - 605*z - 305 = 0.
-1, 61
Let u**4/11 - 6*u**3/11 - 9*u**2/11 + 54*u/11 = 0. What is u?
-3, 0, 3, 6
Find c, given that c**2/4 + 35*c/4 + 153/2 = 0.
-18, -17
Solve -2*l**5/3 - 22*l**4/3 - 88*l**3/3 - 152*l**2/3 - 32*l = 0.
-4, -3, -2, 0
Factor 2*h**2 + 2170*h + 2168.
2*(h + 1)*(h + 1084)
Factor -m**2 - 80*m - 1600.
-(m + 40)**2
Factor 2*j**3/17 - 12*j**2/17 - 18*j/17 + 28/17.
2*(j - 7)*(j - 1)*(j + 2)/17
Let -8*t**4/3 + 29*t**3/3 + 20*t**2/3 - 29*t/3 - 4 = 0. What is t?
-1, -3/8, 1, 4
Solve -x**4/6 + 73*x**3/6 + 7*x**2/6 - 517*x/6 + 73 = 0.
-3, 1, 2, 73
Suppose -3*k**3/5 - 36*k**2 + 12*k/5 + 144 = 0. What is k?
-60, -2, 2
Suppose -32*f**3/3 + 464*f**2 + 234*f + 88/3 = 0. Calculate f.
-1/4, 44
Find x such that -5*x**2 + 230*x + 5760 = 0.
-18, 64
Factor 20*y**3/3 + 505*y**2/3 + 605*y/3 + 40.
5*(y + 1)*(y + 24)*(4*y + 1)/3
Factor -f**2/3 + 17*f/3 + 38/3.
-(f - 19)*(f + 2)/3
Suppose 2*p**3 - 46*p**2 - 170*p + 6358 = 0. What is p?
-11, 17
Factor 3*n**2/8 - 18*n + 69/2.
3*(n - 46)*(n - 2)/8
Factor 14*y**3 - 80*y**2 - 248*y - 64.
2*(y - 8)*(y + 2)*(7*y + 2)
Determine s, given that 3*s**4/2 + 9*s**3/2 - 3*s**2/2 - 9*s/2 = 0.
-3, -1, 0, 1
Let -3*t**2 - 1635*t = 0. Calculate t.
-545, 0
Factor 5*v**3 + 85*v**2 + 455*v + 735.
5*(v + 3)*(v + 7)**2
Determine n so that -n**2/2 + 5*n + 11/2 = 0.
-1, 11
Suppose -3*n**5/4 + 18*n**4 - 33*n**3 - 3*n**2/2 + 135*n/4 - 33/2 = 0. What is n?
-1, 1, 22
Factor 2*j**3/9 - 910*j**2/9 + 103966*j/9 - 103058/9.
2*(j - 227)**2*(j - 1)/9
Find d, given that -4*d**2 + 640*d - 636 = 0.
1, 159
Factor -q**2 - 85*q + 174.
-(q - 2)*(q + 87)
Solve 3*j**4 + 87*j**3 - 1980*j**2 = 0 for j.
-44, 0, 15
Let 49*p**5/11 + 413*p**4/11 + 732*p**3/11 + 64*p**2/11 - 256*p/11 + 48/11 = 0. Calculate p.
-6, -2, -1, 2/7
Suppose -n**2/10 - 1083*n/5 = 0. What is n?
-2166, 0
Factor -4*c**3 - 176*c**2 + 7780*c + 7952.
-4*(c - 28)*(c + 1)*(c + 71)
Factor -a**4 + 102*a**3 + 3*a**2 - 304*a - 204.
-(a - 102)*(a - 2)*(a + 1)**2
Determine s so that -10*s**5 - 95*s**4 - 220*s**3 + 160*s**2 + 1040*s + 880 = 0.
-11/2, -2, 2
Factor j**4 - 33*j**3 + 210*j**2 + 2548*j - 24696.
(j - 14)**3*(j + 9)
Factor -4*m**3 - 40*m**2 - 112*m - 96.
-4*(m + 2)**2*(m + 6)
Find j, given that 5*j**5 - 180*j**4 + 1790*j**3 - 3060*j**2 + 1445*j = 0.
0, 1, 17
Factor -o**3 + 40*o**2 + 129*o.
-o*(o - 43)*(o + 3)
Factor -80*a**3 - 324*a**2 - 256*a - 12.
-4*(a + 1)*(a + 3)*(20*a + 1)
Factor -2*t**3/7 - 90*t**2/7 - 192*t - 952.
-2*(t + 14)**2*(t + 17)/7
Factor 2*u**3 + 5688*u**2 - 11382*u + 5692.
2*(u - 1)**2*(u + 2846)
Let -y**5 + 10*y**4 + 85*y**3 + 170*y**2 + 96*y = 0. What is y?
-3, -2, -1, 0, 16
Determine a, given that 3*a**2/2 + 9*a - 24 = 0.
-8, 2
Determine a, given that 2*a**4/13 - 186*a**3/13 - 578*a**2/13 + 186*a/13 + 576/13 = 0.
-3, -1, 1, 96
Factor 3*r**4 - 15*r**3 + 9*r**2 + 15*r - 12.
3*(r - 4)*(r - 1)**2*(r + 1)
Factor -4*r**5 + 48*r**4 - 44*r**3.
-4*r**3*(r - 11)*(r - 1)
Factor 3*p**4 + 18*p**3 + 12*p**2 - 18*p - 15.
3*(p - 1)*(p + 1)**2*(p + 5)
What is o in 2*o**5/3 - 14*o**4/3 + 2*o**3 + 62*o**2/3 + 40*o/3 = 0?
-1, 0, 4, 5
Suppose b**3/7 + 28*b**2 + 389*b/7 + 194/7 = 0. Calculate b.
-194, -1
What is v in -3*v**3 - 87*v**2 + 606*v - 840 = 0?
-35, 2, 4
Factor -b**3 + 190*b**2 - 189*b.
-b*(b - 189)*(b - 1)
Factor p**4/3 - 2*p**3 - 8*p**2 - 26*p/3 - 3.
(p - 9)*(p + 1)**3/3
Factor -d**2 + 11*d + 210.
-(d - 21)*(d + 10)
Find f, given that 20*f**2 + 818*f/21 + 88/21 = 0.
-11/6, -4/35
Factor u**4/7 - 2*u**3/7 - u**2/7 + 2