, 2
Factor -5*a**4/7 + 16*a**3/7 - 13*a**2/7 + 2*a/7.
-a*(a - 2)*(a - 1)*(5*a - 1)/7
Factor 3*x**2 - 348*x + 10092.
3*(x - 58)**2
Determine h so that 4*h**2/3 - 63788*h/9 + 42520/9 = 0.
2/3, 5315
Determine d, given that 2*d**2 - 76*d = 0.
0, 38
Find p such that 2*p**3/5 + 4*p**2/5 - 38*p/5 - 8 = 0.
-5, -1, 4
Factor -q**4 - 2*q**3/3 + q**2 + 2*q/3.
-q*(q - 1)*(q + 1)*(3*q + 2)/3
Factor -4*n**2 - 1116*n + 2248.
-4*(n - 2)*(n + 281)
Factor -w**2/4 + 457*w/4 - 114.
-(w - 456)*(w - 1)/4
Let c**5/3 - 47*c**4/6 - 14*c**3/3 + 31*c**2/2 + 12*c = 0. What is c?
-1, 0, 3/2, 24
Suppose -3*p**4/7 + 27*p**3 + 594*p**2/7 = 0. Calculate p.
-3, 0, 66
Suppose i**4/3 + i**3/3 = 0. What is i?
-1, 0
Factor -x**4/3 - 23*x**3/3 - 52*x**2 - 220*x/3 + 400/3.
-(x - 1)*(x + 4)*(x + 10)**2/3
Suppose 5*x**2 + 1065*x - 1070 = 0. What is x?
-214, 1
Factor 2*c**2/11 + 380*c/11.
2*c*(c + 190)/11
Suppose -u**4/6 + 8*u**3/3 + 19*u**2/3 - 52*u - 255/2 = 0. Calculate u.
-3, 5, 17
Let -3*j**2 - 81*j + 594 = 0. Calculate j.
-33, 6
Let 54*k**3 - 4*k**2 - 154*k + 104 = 0. Calculate k.
-52/27, 1
Find m, given that 2*m**5/5 + 24*m**4/5 + 72*m**3/5 = 0.
-6, 0
Factor 2*l**5/5 + 4*l**4/5 + 2*l**3/5.
2*l**3*(l + 1)**2/5
Factor 4*u**3 + 236*u**2 + 1660*u + 1428.
4*(u + 1)*(u + 7)*(u + 51)
Determine y so that -y**3/5 + 683*y**2/5 - 23256*y - 116964/5 = 0.
-1, 342
Find w, given that -8*w**5/15 + 6*w**4/5 - 4*w**3/15 = 0.
0, 1/4, 2
Factor -32*y**2/5 + 58*y - 18/5.
-2*(y - 9)*(16*y - 1)/5
Factor -395*i**3 + 2375*i**2 - 3585*i + 45.
-5*(i - 3)**2*(79*i - 1)
Factor -i**5/6 - 8*i**4 - 416*i**3/3 - 1024*i**2 - 8192*i/3.
-i*(i + 8)**2*(i + 16)**2/6
Solve -2*x**4/9 + 4*x**3/9 + 104*x**2/9 + 188*x/9 + 10 = 0 for x.
-5, -1, 9
Determine y so that -5*y**5 - 25*y**4 - 25*y**3 + 25*y**2 + 30*y = 0.
-3, -2, -1, 0, 1
Factor 16*l**3/3 + 24*l**2 + 27*l + 9.
(l + 3)*(4*l + 3)**2/3
Factor 3*r**3 - 12*r**2 + 9*r.
3*r*(r - 3)*(r - 1)
Factor o**3/5 + 88*o**2/5 - 89*o/5.
o*(o - 1)*(o + 89)/5
Solve 5*l**2 - 855*l - 860 = 0.
-1, 172
Solve -z**5 - z**4 + 56*z**3 - 144*z**2 = 0 for z.
-9, 0, 4
Suppose -3*i**3 + 36*i**2 - 87*i + 54 = 0. What is i?
1, 2, 9
Determine g so that g**3/7 - 55*g**2/7 + 348*g/7 - 576/7 = 0.
3, 4, 48
Determine q, given that 4*q**5 - 44*q**4 - 944*q**3 + 14720*q**2 - 35200*q - 136000 = 0.
-17, -2, 10
Factor -i**2/9 + 101*i/9 + 34/3.
-(i - 102)*(i + 1)/9
Factor -5*g**4 + 30*g**3.
-5*g**3*(g - 6)
Let l**2/6 + 7*l/6 - 184/3 = 0. Calculate l.
-23, 16
Factor -4*l**5 + 48*l**4.
-4*l**4*(l - 12)
Factor -y**2/9 + y/3 + 28/9.
-(y - 7)*(y + 4)/9
Factor -5*l**3 - 165*l**2 + 390*l + 1400.
-5*(l - 4)*(l + 2)*(l + 35)
Factor 48*i**3/5 - 93*i**2/5 + 42*i/5 + 3/5.
3*(i - 1)**2*(16*i + 1)/5
Solve 3*o**5/5 - 23*o**4/5 - 101*o**3/5 - 97*o**2/5 - 22*o/5 = 0.
-2, -1, -1/3, 0, 11
Factor -5*a**4/2 + 45*a**3 - 605*a**2/2 + 900*a - 1000.
-5*(a - 5)**2*(a - 4)**2/2
Factor 3*o**4 + 111*o**3 + 315*o**2 + 309*o + 102.
3*(o + 1)**3*(o + 34)
Solve -2*x**5/5 + 4*x**3 - 18*x/5 = 0 for x.
-3, -1, 0, 1, 3
Determine j so that 3*j**3 - 33*j**2 - 75*j - 39 = 0.
-1, 13
Let 3*l**5/2 + 63*l**4/2 + 309*l**3/2 + 621*l**2/2 + 276*l + 90 = 0. Calculate l.
-15, -2, -1
Suppose 2*d**5/7 + 4*d**4 - 36*d**3/7 - 88*d**2/7 + 34*d/7 + 60/7 = 0. What is d?
-15, -1, 1, 2
Let o**3 + 5*o**2 - 58*o + 88 = 0. What is o?
-11, 2, 4
Suppose -3*s**4 - 42*s**3 - 105*s**2 - 66*s = 0. What is s?
-11, -2, -1, 0
Suppose -k**2/5 - 354*k/5 - 353/5 = 0. Calculate k.
-353, -1
Let -2*z**4/7 - 12*z**3/7 - 10*z**2/7 + 24*z/7 = 0. What is z?
-4, -3, 0, 1
Suppose 1058*a**3/13 + 2806*a**2/13 - 1072*a/13 + 96/13 = 0. Calculate a.
-3, 4/23
Suppose -4*x**3 - 180*x**2 + 1632*x - 3392 = 0. What is x?
-53, 4
Factor d**3/4 + 2*d**2 + 15*d/4.
d*(d + 3)*(d + 5)/4
Solve -w**5 + 10*w**4 + 60*w**3 - 40*w**2 - 224*w = 0 for w.
-4, -2, 0, 2, 14
Factor -21*x**4 - 159*x**3 + 72*x**2.
-3*x**2*(x + 8)*(7*x - 3)
Factor -2*x**4/19 - 48*x**3/19 - 236*x**2/19 + 624*x/19 - 338/19.
-2*(x - 1)**2*(x + 13)**2/19
Let v**3 - 173*v**2 + 7735*v - 21675 = 0. Calculate v.
3, 85
Find i, given that -3*i**4 - 117*i**3 - 1146*i**2 - 2016*i + 9600 = 0.
-25, -8, 2
Factor -5*g**2 - 8880*g - 3942720.
-5*(g + 888)**2
Let 4*l**4/9 - 104*l**3/3 + 2128*l**2/3 - 11552*l/9 = 0. Calculate l.
0, 2, 38
Factor -2*d**3/3 - 10*d**2 - 32*d + 128/3.
-2*(d - 1)*(d + 8)**2/3
Find a, given that -2*a**5/7 - 10*a**4/7 - 6*a**3/7 + 10*a**2/7 + 8*a/7 = 0.
-4, -1, 0, 1
Factor -l**5/2 + 8*l**4 - 50*l**3 + 152*l**2 - 224*l + 128.
-(l - 4)**3*(l - 2)**2/2
Suppose 2*t**3/13 + 20*t**2/13 + 24*t/13 - 144/13 = 0. What is t?
-6, 2
Let 27*z**5 - 423*z**4 + 1560*z**3 + 948*z**2 - 1344*z - 768 = 0. Calculate z.
-2/3, 1, 8
Factor -t**2/2 + 303*t.
-t*(t - 606)/2
Factor z**2/5 - 14*z/5 + 24/5.
(z - 12)*(z - 2)/5
Factor 2*p**3/5 - 78*p**2/5 + 352*p/5 - 408/5.
2*(p - 34)*(p - 3)*(p - 2)/5
Suppose y**3 - 9*y**2 + 6*y + 16 = 0. What is y?
-1, 2, 8
Factor -4*o**3 - 80*o**2 + 172*o - 88.
-4*(o - 1)**2*(o + 22)
Factor 8*p**2 - 148*p + 1369/2.
(4*p - 37)**2/2
Factor o**2/7 - 2347*o/7 - 2348/7.
(o - 2348)*(o + 1)/7
Find z such that 3*z**2 - 924*z - 3744 = 0.
-4, 312
Let 2*j**2/11 + 3360*j/11 + 3358/11 = 0. Calculate j.
-1679, -1
Let 3*s**5/7 + 111*s**4/7 + 1494*s**3/7 + 8646*s**2/7 + 19239*s/7 + 11979/7 = 0. What is s?
-11, -3, -1
Factor r**5 - r**4 - 14*r**3 + 24*r**2.
r**2*(r - 3)*(r - 2)*(r + 4)
Determine l, given that l**2 - 87*l + 252 = 0.
3, 84
Factor -2*g**4 + 192*g**3 - 188*g**2 - 192*g + 190.
-2*(g - 95)*(g - 1)**2*(g + 1)
Determine s, given that 21*s**5/2 + 687*s**4 - 2553*s**3 + 2382*s**2 + 189*s/2 - 621 = 0.
-69, -3/7, 1, 2
Factor -2*r**3/3 + 22*r**2/3 + 130*r/3 - 50.
-2*(r - 15)*(r - 1)*(r + 5)/3
Factor 2*t**5/3 - 4*t**4/3 - 30*t**3 - 284*t**2/3 - 344*t/3 - 48.
2*(t - 9)*(t + 1)*(t + 2)**3/3
Let 5*f**5 - 30*f**4 - 15*f**3 + 80*f**2 + 60*f = 0. What is f?
-1, 0, 2, 6
Factor 26*p**3 + 160*p**2/3 + 8*p/3.
2*p*(p + 2)*(39*p + 2)/3
Factor -3*b**4/4 + 1563*b**3/4 - 202797*b**2/4 - 204363*b/4.
-3*b*(b - 261)**2*(b + 1)/4
What is s in -4*s**4 + 3280*s**3 = 0?
0, 820
Let 9*b**4/5 - 3*b**3 - 123*b**2/5 - 129*b/5 - 6 = 0. Calculate b.
-2, -1, -1/3, 5
Factor 8*l**2/11 + 6*l/11 - 2/11.
2*(l + 1)*(4*l - 1)/11
Factor 92*y**4/3 + 268*y**3/3 + 84*y**2 + 68*y/3 - 8/3.
4*(y + 1)**3*(23*y - 2)/3
Determine c so that 3*c**3 + 66*c**2 + 237*c - 1386 = 0.
-14, -11, 3
Determine f so that -f**5/4 - 7*f**4/4 + 17*f**3/2 + 167*f**2/2 + 735*f/4 + 441/4 = 0.
-7, -3, -1, 7
Factor 6*i**3/5 + 101*i**2/5 + 34*i + 15.
(i + 1)*(i + 15)*(6*i + 5)/5
Factor -2*b**3 + 196*b**2.
-2*b**2*(b - 98)
Factor o**4 + o**3 - 34*o**2 + 56*o.
o*(o - 4)*(o - 2)*(o + 7)
Solve f**4 - 10824*f**3 + 43934616*f**2 - 79258047264*f + 53618068974096 = 0 for f.
2706
Suppose 294*o**5 - 14*o**4 - 820*o**3 + 696*o**2 - 144*o = 0. Calculate o.
-2, 0, 1/3, 6/7
Find t, given that -4*t**5 - 20*t**4 + 96*t**3 - 16*t**2 - 128*t = 0.
-8, -1, 0, 2
Suppose -3*t**5 + 9*t**4 + 39*t**3 - 33*t**2 - 72*t + 60 = 0. What is t?
-2, 1, 5
Suppose 2*v**4 - 8*v**3 - 52*v**2 + 120*v + 450 = 0. What is v?
-3, 5
Factor 2*y**3 + 96*y**2 + 186*y + 92.
2*(y + 1)**2*(y + 46)
Find y, given that -3*y**3 - 1179*y**2 - 154449*y - 6744273 = 0.
-131
Suppose r**5 + 6820*r**4 + 18604960*r**3 + 25377165440*r**2 + 17307226830080*r + 4721411479245824 = 0. What is r?
-1364
Let -3*j**4 + 45*j**3 - 42*j**2 = 0. Calculate j.
0, 1, 14
Factor -4*n**3 + 92*n**2 - 360*n.
-4*n*(n - 18)*(n - 5)
Let -2*m**3/11 + 6*m**2/11 + 56*m/11 = 0. Calculate m.
-4, 0, 7
Suppose -4*u**5 - 13*u**4 + 5*u**3 + 50*u**2 + 44*u + 8 = 0. Calculate u.
-2, -1, -1/4, 2
Find w, given that 4*w**3/5 - 64*w**2/5 + 112*w/5 = 0.
0, 2, 14
Let -2*k**3/3 - 20*k**2/3 - 6*k = 0. What is k?
-9, -1, 0
Factor -2*s**2 + 598*s - 596.
-2*(s - 298)*(s - 1)
Factor -2*u**5 + 28*u**4 - 48*u**3 - 4*u**2 + 50*u - 24.
-2*(u - 12)*(u - 1)**3*(u + 1)
Factor 4*v**4/7 - 20*v**3/7 - 32*v**2/7 + 192*v/7.
4*v*(v - 4)**2*(v + 3)/7
Factor 3*q**2 + 918*q + 70227.
3*(q + 153)**2
Factor -3*q**2/5 - 9*q + 228/5.
-3*(q - 4)*(q + 19)/5
Let -z**5/6 - 7*z**4/6 + 7*z**3/6 + 55*z**2/6 + 7*z = 0. What is z?
-7, -2, -1, 0, 3
Factor -2*y**3/11 - 20*y**2/11 + 2*y/11 + 20/11.
-2*(y - 1)*(y + 1)*(y + 10)/11
Find v such that 2*v**4 - 42*v**3 - 92*v**2 = 0.
-2, 0, 23
Solve -2*a**2/5 - 24*a/5 + 56/5 = 0.
-14, 2
Suppose c**3/3 +