 that 1215*y**5/2 + 6615*y**4/2 - 41205*y**3/2 - 20255*y**2/2 + 2995*y - 180 = 0.
-9, -2/3, 1/9, 4
Factor y**3/2 - 39*y**2/2 - 21*y + 40.
(y - 40)*(y - 1)*(y + 2)/2
Find o such that -o**3/3 - 196*o**2/3 + 197*o/3 = 0.
-197, 0, 1
Solve 3*r**2/4 - 117*r/4 + 81 = 0.
3, 36
Suppose 16*i**3 + 64*i**2 + 52*i + 12 = 0. Calculate i.
-3, -1/2
Solve 3*r**5 + 6*r**4 - 27*r**3 - 6*r**2 + 24*r = 0.
-4, -1, 0, 1, 2
Find r such that 3*r**5/4 + 66*r**4 + 5253*r**3/4 - 6141*r**2 + 4761*r = 0.
-46, 0, 1, 3
Factor -c**4 + 395*c**3 - 39203*c**2 + 38809*c.
-c*(c - 197)**2*(c - 1)
Solve -215*r**3 + 195*r**2 + 20*r = 0.
-4/43, 0, 1
Factor -4*n**2 + 296*n + 2268.
-4*(n - 81)*(n + 7)
Factor -25*h**3 - 8180*h**2 + 6556*h - 1312.
-(h + 328)*(5*h - 2)**2
Let 15*b**5 - 5*b**4 - 15*b**3 + 5*b**2 = 0. What is b?
-1, 0, 1/3, 1
Let 10*g**4/7 - 4*g**3/7 - 30*g**2/7 + 32*g/7 - 8/7 = 0. What is g?
-2, 2/5, 1
Suppose -34*z**2/3 - 20*z = 0. Calculate z.
-30/17, 0
Find a, given that 33*a**4 + 666*a**3 + 120*a**2 = 0.
-20, -2/11, 0
Solve 4*i**3/3 - 172*i**2/3 + 2204*i/3 - 7220/3 = 0 for i.
5, 19
Let -w**3/4 + 5*w**2/4 - 3*w/2 = 0. What is w?
0, 2, 3
Factor 3*g**3/4 - 15*g**2/4 - 231*g/4 + 1323/4.
3*(g - 7)**2*(g + 9)/4
Factor 27*i**4 - 249*i**3 + 270*i**2 - 48*i.
3*i*(i - 8)*(i - 1)*(9*i - 2)
Suppose -y**2/6 + 107*y/6 + 460/3 = 0. What is y?
-8, 115
Factor 3*q**3 + 774*q**2 + 66564*q + 1908168.
3*(q + 86)**3
Let -3*x**3 + 504*x**2 - 28224*x + 526848 = 0. What is x?
56
Factor 5*j**3 - 7620*j**2 + 2903220*j.
5*j*(j - 762)**2
Determine o so that 2*o**3 + 2*o**2 - 2*o - 2 = 0.
-1, 1
Factor 2*m**4 + 160*m**3 - 164*m**2 - 160*m + 162.
2*(m - 1)**2*(m + 1)*(m + 81)
Solve z**4 - 10*z**3 - 72*z**2 - 54*z + 135 = 0.
-3, 1, 15
Factor -g**3 - 3982*g**2 - 3964081*g.
-g*(g + 1991)**2
Factor -5*t**4 - 15*t**3 - 15*t**2 - 5*t.
-5*t*(t + 1)**3
Factor 3*h**2 + 342*h - 345.
3*(h - 1)*(h + 115)
Solve 4*c**3 - 264*c**2 + 512*c = 0.
0, 2, 64
Determine s, given that -s**3/2 + 3*s/2 - 1 = 0.
-2, 1
Factor 3*k**3/4 + 111*k**2/4 + 585*k/4 + 837/4.
3*(k + 3)**2*(k + 31)/4
Let 51*d**3/2 + 5463*d**2/2 + 5676*d + 630 = 0. What is d?
-105, -2, -2/17
Factor -4*q**2 + 392*q - 768.
-4*(q - 96)*(q - 2)
Let 3*j**4 + 3*j**3/4 - 33*j**2/4 + 9*j/2 = 0. What is j?
-2, 0, 3/4, 1
Factor u**2/7 + 225*u/7 - 454/7.
(u - 2)*(u + 227)/7
Factor -2*a**2 + 10*a - 12.
-2*(a - 3)*(a - 2)
Factor h**4/2 - 5*h**3 + 29*h**2/2 - 16*h + 6.
(h - 6)*(h - 2)*(h - 1)**2/2
Let 5*u**3/4 + 815*u**2/4 + 7775*u/4 + 19125/4 = 0. What is u?
-153, -5
Solve 10*u**5/9 + 26*u**4/9 - 22*u**3/9 - 26*u**2/9 + 4*u/3 = 0.
-3, -1, 0, 2/5, 1
Factor x**4/2 - 237*x**3/2 + 926*x**2 - 2298*x + 1832.
(x - 229)*(x - 4)*(x - 2)**2/2
Factor a**3/3 + 61*a**2/3 - 64*a/3 - 124/3.
(a - 2)*(a + 1)*(a + 62)/3
Factor -5*p**5 + 165*p**4 - 1950*p**3 + 9500*p**2 - 15000*p.
-5*p*(p - 10)**3*(p - 3)
Factor u**4/3 - 22*u**3/9 + 29*u**2/9 + 10*u/3.
u*(u - 5)*(u - 3)*(3*u + 2)/9
Factor -26*x**2/7 - 178*x/7 + 4.
-2*(x + 7)*(13*x - 2)/7
Factor -o**4/2 + 14*o**3 - 26*o**2.
-o**2*(o - 26)*(o - 2)/2
Let -4*h**2 + 11840*h - 8761600 = 0. What is h?
1480
Factor t**4/3 + 332*t**3/3 + 13778*t**2 + 2287148*t/3 + 47458321/3.
(t + 83)**4/3
Determine p so that p**3/5 - 58*p**2/5 + 797*p/5 - 148 = 0.
1, 20, 37
Factor -s**3/3 + 22*s**2/3 - 140*s/3 + 200/3.
-(s - 10)**2*(s - 2)/3
Let -2*f**3 + 5182*f**2 - 3354048*f - 3359232 = 0. Calculate f.
-1, 1296
Factor -a**2/4 - 682*a - 465124.
-(a + 1364)**2/4
What is p in -p**4 - 34*p**3 - 61*p**2 + 96*p = 0?
-32, -3, 0, 1
Find g, given that 2*g**2/7 + 200*g/7 + 4488/7 = 0.
-66, -34
Suppose -3*p**4 + 24*p**3 - 15*p**2 - 42*p = 0. Calculate p.
-1, 0, 2, 7
Suppose 2*h**2/15 - 98*h/15 - 44 = 0. What is h?
-6, 55
Solve v**3/3 - 5*v**2/2 + 9*v/2 - 5/3 = 0 for v.
1/2, 2, 5
Suppose -4*a**2 - 40*a + 44 = 0. Calculate a.
-11, 1
Suppose -4*l**4 - 660*l**3 + 12*l**2 + 1988*l + 1320 = 0. Calculate l.
-165, -1, 2
Factor 4*d**4 + 12*d**3 - 8*d**2 - 48*d - 32.
4*(d - 2)*(d + 1)*(d + 2)**2
Let 4*v**4 + 160*v**3 + 1872*v**2 + 8640*v + 13824 = 0. Calculate v.
-24, -6, -4
Factor -4*m**3 - 172*m**2 - 168*m.
-4*m*(m + 1)*(m + 42)
Let -u**3/3 + 79*u**2/3 = 0. Calculate u.
0, 79
Let 4*f**4/5 - 16*f**3/5 - 4*f**2/5 + 16*f/5 = 0. What is f?
-1, 0, 1, 4
Factor -z**4 + 14*z**3.
-z**3*(z - 14)
Suppose 2*r**3 - 232*r**2 + 678*r = 0. What is r?
0, 3, 113
Solve -3*w**5 - 693*w**4 - 39669*w**3 + 41061*w**2 + 39672*w - 40368 = 0 for w.
-116, -1, 1
Solve 2*d**2/19 - 284*d/19 + 282/19 = 0 for d.
1, 141
Factor c**2/4 + 18*c.
c*(c + 72)/4
Factor -w**5 + 20*w**4 - 120*w**3 + 70*w**2 + 1225*w - 2058.
-(w - 7)**3*(w - 2)*(w + 3)
Let 2*m**3 + 596*m**2/5 + 184*m - 464/5 = 0. What is m?
-58, -2, 2/5
Find i, given that i**2 - 91*i + 90 = 0.
1, 90
Suppose -4*o**4 - 4876*o**3 - 1982904*o**2 - 269671696*o - 267693664 = 0. Calculate o.
-406, -1
Solve -2*p**5/3 + 2*p**4/3 + 2*p**3 - 2*p**2/3 - 4*p/3 = 0.
-1, 0, 1, 2
Factor -2*x**2/11 - 24*x/11.
-2*x*(x + 12)/11
Suppose -3*z**4/5 + 9*z**3/5 + 3*z**2/5 - 9*z/5 = 0. What is z?
-1, 0, 1, 3
Factor -4*m**2 + 44*m + 48.
-4*(m - 12)*(m + 1)
Let 8*z**2 - 4*z/3 = 0. What is z?
0, 1/6
Factor -t**2/4 + 109*t - 11881.
-(t - 218)**2/4
What is t in -6*t**4/5 + 4*t**3 + 32*t**2/5 - 84*t/5 - 18 = 0?
-5/3, -1, 3
Factor -2*o**2/3 - 6*o/5 + 4/15.
-2*(o + 2)*(5*o - 1)/15
Factor 2*z**4/3 - 8*z**3/3 + 8*z**2/3.
2*z**2*(z - 2)**2/3
Factor -w**3/3 + 50*w**2/3 + 1748*w/3 - 29624.
-(w - 46)**2*(w + 42)/3
What is q in 5*q**3 + 90*q**2 - 125*q - 570 = 0?
-19, -2, 3
Determine f so that -4301476*f**2 - 8296*f - 4 = 0.
-1/1037
Solve h**4/3 - 11*h**3/6 + 11*h**2/3 - 19*h/6 + 1 = 0.
1, 3/2, 2
Suppose -x**4/7 - 52*x**3/7 - 675*x**2/7 + 52*x/7 + 676/7 = 0. What is x?
-26, -1, 1
Let -2*v**2/7 - 8*v/7 + 10/7 = 0. Calculate v.
-5, 1
Find l, given that -4*l**2 - 5424*l - 1838736 = 0.
-678
Suppose -x**2 + 266*x - 17689 = 0. Calculate x.
133
Determine u so that -4*u**3/3 - 52*u**2/3 + 4*u/3 + 52/3 = 0.
-13, -1, 1
What is u in u**4/2 - 11*u**3/2 - 233*u**2/2 + 495*u/2 - 126 = 0?
-12, 1, 21
Determine o, given that -4*o**2 + 56*o - 96 = 0.
2, 12
Factor -u**4/4 + 31*u**3/4 - 56*u**2 - 64*u.
-u*(u - 16)**2*(u + 1)/4
Solve 288*r**4 + 1200*r**3 - 3262*r**2 - 568*r - 24 = 0 for r.
-6, -1/12, 2
Let -4*v**4/9 + 52*v**3/9 - 64*v**2/3 + 272*v/9 - 128/9 = 0. What is v?
1, 2, 8
Suppose 3*g**5 + 33*g**4 + 33*g**3 - 213*g**2 - 180*g + 324 = 0. What is g?
-9, -3, -2, 1, 2
Solve 5*b**5 - 160*b**4 + 115*b**3 + 1300*b**2 - 1860*b = 0 for b.
-3, 0, 2, 31
Factor 2*s**3/17 - 8*s**2/17 - 56*s/17 - 64/17.
2*(s - 8)*(s + 2)**2/17
Let 4*f**2 - 56*f - 480 = 0. What is f?
-6, 20
Determine j so that 5*j**4 + 120*j**3 - 545*j**2 + 420*j = 0.
-28, 0, 1, 3
Suppose -45*j**4 + 7725*j**3 - 5030*j**2 - 17060*j - 6840 = 0. Calculate j.
-2/3, 2, 171
Let -2*r**2 - 68*r = 0. Calculate r.
-34, 0
Find u such that -2028*u**3 + 24180*u**2 + 1869*u + 36 = 0.
-1/26, 12
Determine u, given that u**4/4 - 81*u**3/4 + 117*u**2/2 + u - 78 = 0.
-1, 2, 78
Factor -242*w**3 + 2750*w**2 - 976*w + 88.
-2*(w - 11)*(11*w - 2)**2
Determine a so that -a**4 + 5*a**3 - 3*a**2 - 9*a = 0.
-1, 0, 3
Let -s**4/2 - 31*s**3/2 - 303*s**2/2 - 1205*s/2 - 850 = 0. Calculate s.
-17, -5, -4
Solve 2*u**5/13 + 70*u**4/13 - 828*u**3/13 + 3132*u**2/13 - 4806*u/13 + 2430/13 = 0 for u.
-45, 1, 3
Suppose 3*h**2 + 6750*h + 3796875 = 0. What is h?
-1125
Factor r**3/2 + 17*r**2/2 - 9*r.
r*(r - 1)*(r + 18)/2
Let -56*f**5/9 - 130*f**4/3 + 2*f**3 + 28*f**2/9 = 0. What is f?
-7, -1/4, 0, 2/7
Factor 5*g**4/2 - 30*g**3 + 265*g**2/2 - 255*g + 180.
5*(g - 4)*(g - 3)**2*(g - 2)/2
Suppose -21*r**5 + 41*r**4/2 + 253*r**3/2 - 81*r**2 - 170*r - 4 = 0. What is r?
-2, -1, -1/42, 2
Suppose -169*n**5/4 - 1040*n**4 - 6712*n**3 - 3840*n**2 - 576*n = 0. What is n?
-12, -4/13, 0
Factor 3*c**4 + 303*c**3 + 8364*c**2 + 35712*c + 27648.
3*(c + 1)*(c + 4)*(c + 48)**2
Solve -n**4/4 - 37*n**3/4 - 104*n**2 - 320*n = 0.
-16, -5, 0
Find f such that -46*f**4 + 5*f**3 = 0.
0, 5/46
Solve r**2/3 + 19*r/3 + 88/3 = 0 for r.
-11, -8
Solve 4*q**2/9 - 536*q/9 + 352/3 = 0 for q.
2, 132
Find l, given that 4*l**4 - 8*l**3 - 20*l**2 + 24*l = 0.
-2, 0, 1, 3
Factor 14*x**3 - 130*x**2 + 148*x - 32.
2*(x - 8)*(x - 1)*(7*x - 2)
Factor 3*n**3 + 99*n**2 - 318*n + 216.
3*(n - 2)*(n - 1)*(n + 36)
Factor -382*z**2 - 392*z - 10.
-2*(z