)/5
Factor -18*k**2 + 2444*k + 544.
-2*(k - 136)*(9*k + 2)
Factor 5*o**3/3 + 20535*o**2 + 84337245*o + 115457688405.
5*(o + 4107)**3/3
Factor 11*a**2 - 24*a + 4.
(a - 2)*(11*a - 2)
Factor 4*n**5 - 24*n**3 - 32*n**2 - 12*n.
4*n*(n - 3)*(n + 1)**3
Determine n so that -125*n**5 - 32100*n**4 + 6515*n**3 + 23078*n**2 - 13356*n + 2056 = 0.
-257, -1, 2/5
Factor -4*d**5 - 212*d**4 + 216*d**3.
-4*d**3*(d - 1)*(d + 54)
What is u in -u**2/8 - 11*u/4 = 0?
-22, 0
Factor 4*g**2 - 108*g - 1120.
4*(g - 35)*(g + 8)
Factor -2*b**2 + 164*b - 2112.
-2*(b - 66)*(b - 16)
Solve -12*x**5 + 68*x**4 + 648*x**3 - 1232*x**2 - 480*x = 0 for x.
-6, -1/3, 0, 2, 10
Solve -3*h**3/8 - 243*h**2/8 - 30*h = 0 for h.
-80, -1, 0
Solve x**3/2 + 4*x**2 + 13*x/2 + 3 = 0.
-6, -1
Factor -2*o**3/3 + 20*o**2/3 + 46*o + 60.
-2*(o - 15)*(o + 2)*(o + 3)/3
Factor -b**3/6 + 11*b**2/6 - 13*b/3 + 8/3.
-(b - 8)*(b - 2)*(b - 1)/6
Suppose -3*i**2/5 + 48*i/5 + 108/5 = 0. Calculate i.
-2, 18
Let -2*h**2 - 40*h - 128 = 0. Calculate h.
-16, -4
Factor -2*m**2/3 + 340*m/21 - 32/7.
-2*(m - 24)*(7*m - 2)/21
Factor -2*j**2/15 + 998*j/15 - 332/5.
-2*(j - 498)*(j - 1)/15
Factor -i**2 - 21*i.
-i*(i + 21)
Suppose -5*r**5 + 655*r**4 - 33600*r**3 + 837000*r**2 - 9990000*r + 44550000 = 0. Calculate r.
11, 30
Factor -o**4/2 - 15*o**3 + 99*o**2/2.
-o**2*(o - 3)*(o + 33)/2
Find a such that -2*a**4/9 - 76*a**3/9 + 2*a**2/9 + 76*a/9 = 0.
-38, -1, 0, 1
Let -10*d**5/7 - 182*d**4 - 1688*d**3/7 + 9728*d**2/7 + 19200*d/7 + 864 = 0. What is d?
-126, -2, -2/5, 3
Factor 3*y**3/2 - 9*y**2/2 - 15*y + 36.
3*(y - 4)*(y - 2)*(y + 3)/2
Factor 2*n**3 + 10*n**2 - 8*n - 40.
2*(n - 2)*(n + 2)*(n + 5)
Let -q**2/3 - 14*q/3 - 40/3 = 0. Calculate q.
-10, -4
Find t such that -3*t**4 - 138*t**3 + 12*t**2 + 552*t = 0.
-46, -2, 0, 2
Factor -2*d**4/5 - 22*d**3/5 - 28*d**2/5 + 32*d.
-2*d*(d - 2)*(d + 5)*(d + 8)/5
Determine p, given that p**3/4 - 7*p**2/2 - 31*p/4 - 4 = 0.
-1, 16
Factor -5*i**5 + 25*i**4 + 25*i**3 - 125*i**2 - 200*i - 80.
-5*(i - 4)**2*(i + 1)**3
Determine m so that 4*m**2/5 - 124*m/5 + 432/5 = 0.
4, 27
Find r such that 5*r**3 + 190*r**2 + 985*r + 800 = 0.
-32, -5, -1
Suppose 2*w**4/7 + 16*w**3/7 + 44*w**2/7 + 48*w/7 + 18/7 = 0. Calculate w.
-3, -1
Suppose -2*p**2/5 - 248*p/5 - 7688/5 = 0. Calculate p.
-62
Factor k**2/6 + 79*k/6 - 40/3.
(k - 1)*(k + 80)/6
Solve -6*m**2 + 134*m + 92 = 0 for m.
-2/3, 23
Determine u so that 25*u**3 - 205*u**2 - 185*u + 45 = 0.
-1, 1/5, 9
Solve -25*q**4/2 + 95*q**3/2 + 18*q**2 - 34*q + 8 = 0 for q.
-1, 2/5, 4
Factor -3*o**4 - 27*o**3 + 141*o**2 - 189*o + 78.
-3*(o - 2)*(o - 1)**2*(o + 13)
Suppose -4*i**5 + 4*i**4 + 224*i**3 = 0. What is i?
-7, 0, 8
Let 5*s**2 + 70*s - 255 = 0. Calculate s.
-17, 3
Factor f**2/2 + 5*f/2 + 3.
(f + 2)*(f + 3)/2
Let -f**3 + 187*f**2 + 570*f = 0. What is f?
-3, 0, 190
Find w such that -3*w**4 - 162*w**3 + 1704*w**2 + 162*w - 1701 = 0.
-63, -1, 1, 9
Suppose 2*z**4/5 - 392*z**3/5 + 19208*z**2/5 = 0. What is z?
0, 98
Determine m so that 4*m**5 + 316*m**4 + 2036*m**3 + 1412*m**2 - 2040*m - 1728 = 0.
-72, -6, -1, 1
Suppose x**3 + x**2 = 0. Calculate x.
-1, 0
Factor -2*o**5/3 - 6*o**4 - 2*o**3 + 146*o**2/3 - 64*o + 24.
-2*(o - 1)**3*(o + 6)**2/3
Suppose z**3 - 7*z**2 - 18*z = 0. What is z?
-2, 0, 9
Factor 2*j**4/7 - 216*j**3/7 + 832*j**2/7.
2*j**2*(j - 104)*(j - 4)/7
Determine f so that f**2 + 97*f + 190 = 0.
-95, -2
Suppose r**5/2 + 17*r**4/2 + 21*r**3 - 2*r**2 - 28*r = 0. Calculate r.
-14, -2, 0, 1
Let t**5/2 - 11*t**4/2 + 23*t**3 - 46*t**2 + 44*t - 16 = 0. What is t?
1, 2, 4
Let q**5/5 - 9*q**4/5 + 9*q**3/5 + 77*q**2/5 - 30*q + 72/5 = 0. What is q?
-3, 1, 4, 6
Factor -i**3 - 13818*i**2 - 47734281*i.
-i*(i + 6909)**2
Factor -11*v**2/7 - 10*v - 96/7.
-(v + 2)*(11*v + 48)/7
Let i**5/2 - 21*i**4/2 + 19*i**3 + i**2 - 39*i/2 + 19/2 = 0. What is i?
-1, 1, 19
Factor 3*u**4 + 246*u**3 + 6552*u**2 + 51744*u - 131712.
3*(u - 2)*(u + 28)**3
Suppose -j**3/2 + 2*j**2 + 2*j - 8 = 0. Calculate j.
-2, 2, 4
Factor 405*i**3 - 31545*i**2 + 256400*i - 552000.
5*(i - 69)*(9*i - 40)**2
Factor -8*o**3/3 - 2*o**2/3 + 24*o + 6.
-2*(o - 3)*(o + 3)*(4*o + 1)/3
Factor 3*s**4 - 33*s**3 - 42*s**2 + 72*s.
3*s*(s - 12)*(s - 1)*(s + 2)
Find o, given that -2*o**2/5 - 78*o/5 - 748/5 = 0.
-22, -17
Suppose 2*h**2/9 - 4*h/3 - 14/9 = 0. Calculate h.
-1, 7
Factor -y**2 + 1457*y + 2918.
-(y - 1459)*(y + 2)
Factor -2*t**3 - 166*t**2 + 172*t + 336.
-2*(t - 2)*(t + 1)*(t + 84)
Factor 60*k**2 + 69*k + 9.
3*(k + 1)*(20*k + 3)
Factor -3*z**4 - 9*z**3 + 75*z**2 - 63*z.
-3*z*(z - 3)*(z - 1)*(z + 7)
Factor 4*g**2/5 - 72*g/5.
4*g*(g - 18)/5
Let 5*s**4 + 50*s**3 = 0. Calculate s.
-10, 0
Suppose -3*h**4/2 - 171*h**3/2 - 993*h**2 - 3978*h - 4644 = 0. What is h?
-43, -6, -2
Solve 4*o**2 + 16*o - 128 = 0.
-8, 4
Factor 2*c**3/11 + 288*c**2/11 - 1176*c/11 + 1184/11.
2*(c - 2)**2*(c + 148)/11
Suppose 2*m**3/9 - 374*m**2/9 - 380*m/9 + 752/9 = 0. What is m?
-2, 1, 188
Find g, given that 4*g**4 - 24*g**3 - 172*g**2 + 1200*g - 1008 = 0.
-7, 1, 6
Factor 40*s**4 + 580*s**3 + 810*s**2 + 395*s + 65.
5*(s + 13)*(2*s + 1)**3
Let -5*q**2 - 7055*q = 0. What is q?
-1411, 0
Suppose -20*p**3/3 + 3016*p**2/3 + 3644*p/3 + 608/3 = 0. What is p?
-1, -1/5, 152
Determine p so that -p**5 + 80*p**4 - 456*p**3 + 898*p**2 - 743*p + 222 = 0.
1, 3, 74
Solve -4*m**2/7 + 4640*m/7 - 1345600/7 = 0.
580
Suppose d**3/6 - 5*d**2/6 = 0. Calculate d.
0, 5
Suppose -n**3/8 + 379*n**2/8 - 4559*n + 13254 = 0. Calculate n.
3, 188
Suppose -2*j**5 - 48*j**4 - 90*j**3 - 44*j**2 = 0. What is j?
-22, -1, 0
Factor -c**2 + 19*c/2 - 9/2.
-(c - 9)*(2*c - 1)/2
Let 3*v**4 + 30*v**3 - 3*v**2 - 30*v = 0. What is v?
-10, -1, 0, 1
Find v, given that -5*v**4 - 88*v**3 - 366*v**2 + 216*v + 243 = 0.
-9, -3/5, 1
Let -j**4/4 - j**3/2 + 41*j**2/4 + 21*j/2 = 0. Calculate j.
-7, -1, 0, 6
Suppose 2*z**4/7 - 6*z**3 - 2*z**2/7 + 6*z = 0. Calculate z.
-1, 0, 1, 21
Determine o, given that -2*o**5/5 - 38*o**4/5 + 274*o**3/5 - 626*o**2/5 + 592*o/5 - 40 = 0.
-25, 1, 2
Solve -2*v**2 - 26*v + 60 = 0 for v.
-15, 2
Factor -5*g**4 + 25*g**3 - 45*g**2 + 35*g - 10.
-5*(g - 2)*(g - 1)**3
Factor -4*p**2/5 - 4*p/5 + 48/5.
-4*(p - 3)*(p + 4)/5
Factor 3*z**2 - 63*z + 330.
3*(z - 11)*(z - 10)
Factor 3*y**4/7 - 60*y**3/7 + 51*y**2/7 + 114*y/7.
3*y*(y - 19)*(y - 2)*(y + 1)/7
Suppose -2*y**3/7 - 76*y**2 - 5054*y = 0. Calculate y.
-133, 0
Factor 2*f**3 + 406*f**2/3 + 6800*f/3 - 2312/3.
2*(f + 34)**2*(3*f - 1)/3
Factor 3*h**2/2 + 147*h + 1320.
3*(h + 10)*(h + 88)/2
Determine b, given that -9*b**4 + 114*b**3 - 396*b**2 + 216*b = 0.
0, 2/3, 6
Factor -3*n**4 - 42*n**3 - 129*n**2 - 90*n.
-3*n*(n + 1)*(n + 3)*(n + 10)
Solve 9*t**5 - 57*t**4 + 120*t**3 - 72*t**2 - 48*t + 48 = 0.
-2/3, 1, 2
Let 5*b**4/3 - 25*b**3 + 60*b**2 + 20*b/3 - 80 = 0. Calculate b.
-1, 2, 12
Factor h**2 + 6*h + 5.
(h + 1)*(h + 5)
Factor 6*z**3 + 490*z**2 - 168*z - 328.
2*(z - 1)*(z + 82)*(3*z + 2)
Factor -5*n**2 + 360*n - 1980.
-5*(n - 66)*(n - 6)
Determine u so that -3*u**4/8 + 543*u**3/2 - 1620*u**2 + 3234*u - 2154 = 0.
2, 718
What is y in -3*y**3 + 3*y**2 + 3*y - 3 = 0?
-1, 1
Factor -4*d**3 + 28*d + 24.
-4*(d - 3)*(d + 1)*(d + 2)
Suppose -2*q**3/13 - 2*q**2/13 + 8*q/13 + 8/13 = 0. Calculate q.
-2, -1, 2
Suppose -u**3 - 6*u**2 + 32 = 0. Calculate u.
-4, 2
Factor 5*r**5/3 - 325*r**4 + 3850*r**3/3 - 5750*r**2/3 + 1275*r - 955/3.
5*(r - 191)*(r - 1)**4/3
Suppose 2*m**4/23 - 114*m**3/23 + 432*m**2/23 - 424*m/23 = 0. What is m?
0, 2, 53
Solve -4*a**4 + 48*a**3 - 208*a**2 + 384*a - 256 = 0.
2, 4
Find y, given that -3*y**4 + 726*y**3 - 43923*y**2 = 0.
0, 121
Factor -z**5/2 + 7*z**4/2 - 11*z**3/2 + 5*z**2/2.
-z**2*(z - 5)*(z - 1)**2/2
Factor 2*b**4/15 - 2*b**3/5 + 2*b**2/5 - 2*b/15.
2*b*(b - 1)**3/15
Factor -39*n**3 + 267*n**2 + 354*n + 48.
-3*(n - 8)*(n + 1)*(13*n + 2)
Factor 3*h**3 - 156*h**2.
3*h**2*(h - 52)
Suppose -f**4 + 5*f**3 + 22*f**2 - 56*f = 0. Calculate f.
-4, 0, 2, 7
Solve -2*s**4/9 - 8*s**3/9 + 4*s**2/3 + 8*s/9 - 10/9 = 0 for s.
-5, -1, 1
Suppose -6*i**2 - 8901*i - 4449 = 0. Calculate i.
-1483, -1/2
Determine l so that 4*l**2 - 376*l + 8836 = 0.
47
Suppose 5*b**2 - 220*b + 420 = 0. Calculate b.
2, 42
Let -3*x**3 + 3*x**2 + 90*x = 0. Calculate x.
-5, 0, 6
Factor -2*p**4 - 72*p**3 + 2*p**2 + 72*p.
-2*p*(p - 1)*(p + 1)*(p + 36)
Factor 5*f**3 - 2705