 7)
Factor 2*n**4/9 - 37864*n**3/9 + 79644820*n**2/3 - 502479144136*n/9 - 502718116462/9.
2*(n - 6311)**3*(n + 1)/9
Suppose 4*k**4/3 + 220*k**3/3 - 76*k**2 - 220*k/3 + 224/3 = 0. What is k?
-56, -1, 1
Suppose 2*w**2/9 + 28*w/9 + 22/3 = 0. Calculate w.
-11, -3
Determine o so that -11*o**3/2 + 10*o**2 + 2*o = 0.
-2/11, 0, 2
Solve 81*z**5/7 + 522*z**4/7 - 347*z**3/7 - 228*z**2/7 - 4*z = 0 for z.
-7, -2/9, 0, 1
Factor 5*k**2/2 - 375*k/2.
5*k*(k - 75)/2
Solve -147*w**5/4 - 2625*w**4/4 + 6423*w**3/2 - 3000*w**2 + 792*w = 0.
-22, 0, 4/7, 3
Suppose -2*m**2/5 + 1302*m/5 - 260 = 0. Calculate m.
1, 650
Factor -l**3 - 64*l**2 + 199*l - 134.
-(l - 2)*(l - 1)*(l + 67)
Suppose -176*y**5 + 848*y**4 - 588*y**3 + 40*y**2 + 32*y = 0. What is y?
-2/11, 0, 1/2, 4
Let -6*d**5/11 + d**4 + 6*d**3/11 - 9*d**2/11 + 2*d/11 = 0. Calculate d.
-1, 0, 1/3, 1/2, 2
Factor -4*w**3 - 84*w**2 + 4*w + 84.
-4*(w - 1)*(w + 1)*(w + 21)
Factor -4*o**3/5 - 104*o**2/5 - 20*o.
-4*o*(o + 1)*(o + 25)/5
Factor -325*r**4 - 120*r**3 + 4*r**2.
-r**2*(5*r + 2)*(65*r - 2)
Factor 14792*f**3/7 - 8256*f**2/7 - 5814*f/7 - 722/7.
2*(f - 1)*(86*f + 19)**2/7
Find h such that 2*h**3 - 32*h**2 + 170*h - 300 = 0.
5, 6
Let 5*n**4/2 - 20*n**3 + 35*n**2 + 20*n - 75/2 = 0. What is n?
-1, 1, 3, 5
Factor -w**4/4 + 51*w**3/2 - 1319*w**2/4 + 609*w/2.
-w*(w - 87)*(w - 14)*(w - 1)/4
Find l such that 2*l**4/5 + 252*l**3/5 - 2*l**2/5 - 252*l/5 = 0.
-126, -1, 0, 1
Factor -2*x**3/3 - 92*x**2/3 - 406*x - 1176.
-2*(x + 4)*(x + 21)**2/3
Find c, given that -3*c**4 + 6*c**3 + 12*c**2 - 6*c - 9 = 0.
-1, 1, 3
Factor 5*b**2 + 65*b - 70.
5*(b - 1)*(b + 14)
Factor -v**5/3 + 4*v**4/3 - 14*v**2/3 + 17*v/3 - 2.
-(v - 3)*(v - 1)**3*(v + 2)/3
Factor 3*l**4 + 3*l**3 - 27*l**2 - 27*l.
3*l*(l - 3)*(l + 1)*(l + 3)
Factor 3*y**2 - 120*y.
3*y*(y - 40)
Factor 49*u**5 + 35*u**4 - 111*u**3 + 29*u**2 - 2*u.
u*(u - 1)*(u + 2)*(7*u - 1)**2
Suppose 3*c**4/4 - 17*c**3 - 97*c**2/4 + 11*c/2 + 12 = 0. Calculate c.
-1, 2/3, 24
Find s, given that -5*s**3 + 125*s**2 - 440*s + 420 = 0.
2, 21
Suppose -2*w**2/5 - 44*w/5 - 114/5 = 0. What is w?
-19, -3
Determine l so that -5*l**3 - 30*l**2 + 180*l - 200 = 0.
-10, 2
Factor -u**4 - 5*u**3 + 7*u**2 + 5*u - 6.
-(u - 1)**2*(u + 1)*(u + 6)
Factor 5*j**2 + 370*j + 6240.
5*(j + 26)*(j + 48)
Determine h, given that h**5 - 5*h**4 + 3*h**3 + 13*h**2 - 8*h - 12 = 0.
-1, 2, 3
Factor q**5/6 - 5*q**4/3 + 17*q**3/6 - 4*q**2/3.
q**2*(q - 8)*(q - 1)**2/6
Suppose -2*u**2/13 + 114*u/13 + 116/13 = 0. What is u?
-1, 58
Let -2*d**4/11 + 4*d**3/11 + 14*d**2/11 - 40*d/11 + 24/11 = 0. What is d?
-3, 1, 2
Find h such that -2*h**3 - 14*h**2 + 20*h + 32 = 0.
-8, -1, 2
Solve -21*p**5 + 3648*p**4 - 161433*p**3 + 253374*p**2 + 551604*p + 133128 = 0.
-1, -2/7, 3, 86
Find m, given that 2*m**4 + 18*m**3 - 106*m**2 - 18*m + 104 = 0.
-13, -1, 1, 4
Solve 14*a**4 - 2*a**3 - 126*a**2 + 18*a = 0.
-3, 0, 1/7, 3
Factor -9*g**3 - 42*g**2 + 15*g.
-3*g*(g + 5)*(3*g - 1)
Solve -i**4 - 84*i**3 - 160*i**2 + 336*i + 656 = 0 for i.
-82, -2, 2
Factor -o**3 + 5724*o**2 - 10921392*o + 6946005312.
-(o - 1908)**3
Suppose -4*x**3 + 52*x**2 + 336*x + 432 = 0. Calculate x.
-3, -2, 18
Factor -u**3/3 - u**2/3 + 11*u - 21.
-(u - 3)**2*(u + 7)/3
Let -3*g**2/4 + 105*g/2 - 702 = 0. What is g?
18, 52
Find d such that -3*d**5/5 - 3*d**4/5 + 258*d**3/5 - 726*d**2/5 + 141*d - 231/5 = 0.
-11, 1, 7
Factor 10*d**2/3 - 12*d - 16/3.
2*(d - 4)*(5*d + 2)/3
Factor 4*u**4 - 320*u**3 + 6072*u**2 + 13120*u + 6724.
4*(u - 41)**2*(u + 1)**2
Factor -5*t**2/3 + 580*t/3 - 16820/3.
-5*(t - 58)**2/3
Suppose 2*c**3 + 22*c**2 + 72*c + 72 = 0. What is c?
-6, -3, -2
Find x, given that x**2/3 + 4*x/3 - 5/3 = 0.
-5, 1
Factor -2*k**3 + 726*k**2 - 87846*k + 3543122.
-2*(k - 121)**3
Let 2*v**2/9 - 284*v/9 + 10082/9 = 0. Calculate v.
71
Suppose 12*h**4 + 63*h**3 + 117*h**2 + 93*h + 27 = 0. Calculate h.
-9/4, -1
Find z, given that -4*z**4/9 + 148*z**3/9 - 136*z**2/9 - 32*z = 0.
-1, 0, 2, 36
Factor -2*j**3/11 - 238*j**2/11 - 470*j/11 - 234/11.
-2*(j + 1)**2*(j + 117)/11
Find s such that 2*s**5/7 - 4*s**4/7 - 12*s**3/7 + 40*s**2/7 - 38*s/7 + 12/7 = 0.
-3, 1, 2
Determine y, given that 4*y**5/3 + 44*y**4/3 + 76*y**3/3 + 12*y**2 = 0.
-9, -1, 0
Solve h**2 + 162*h = 0.
-162, 0
Factor 5*d**2 - 380*d + 1440.
5*(d - 72)*(d - 4)
Factor 2*c**5 + 10*c**4 + 14*c**3 + 6*c**2.
2*c**2*(c + 1)**2*(c + 3)
Determine i, given that 2*i**4/11 + 24*i**3/11 - 148*i**2/11 - 120*i + 550 = 0.
-11, 5
Solve 10*r**5/9 + 14*r**4/9 - 46*r**3/9 + 10*r**2/9 + 4*r/3 = 0.
-3, -2/5, 0, 1
Factor -2*i**3/15 - 26*i**2/5 + 16*i/3.
-2*i*(i - 1)*(i + 40)/15
What is y in 2*y**3/5 - 48*y**2/5 - 22*y + 156/5 = 0?
-3, 1, 26
Suppose -5*z**2 - 35*z + 150 = 0. Calculate z.
-10, 3
Factor -9*h**5 - 28*h**4 - 30*h**3 - 12*h**2 - h.
-h*(h + 1)**3*(9*h + 1)
Find c such that -2*c**2/9 - 818*c/9 - 1628/9 = 0.
-407, -2
Let q**4/3 + 935*q**3/3 + 73318*q**2 + 653332*q/3 + 434312/3 = 0. Calculate q.
-466, -2, -1
Find h such that -4*h**4 + 368*h**3 - 8824*h**2 + 16560*h - 8100 = 0.
1, 45
Find j, given that -10*j**2 + 1256*j - 750 = 0.
3/5, 125
Determine t so that 2*t**3/3 - 62*t**2/3 + 224*t/3 - 72 = 0.
2, 27
Factor 44*t**2/5 - 188*t/5 - 408.
4*(t + 5)*(11*t - 102)/5
Solve -2*r**2 - 670*r = 0 for r.
-335, 0
Find y such that y**5/3 - 11*y**4/3 - 18*y**3 - 86*y**2/3 - 59*y/3 - 5 = 0.
-1, 15
Suppose p**2/3 - 277*p/3 + 550/3 = 0. What is p?
2, 275
Find b, given that 6*b**5 - 123*b**4 - 63*b**3 = 0.
-1/2, 0, 21
Let 5*w**2 + 135*w - 290 = 0. What is w?
-29, 2
Factor -h**2 + 199*h - 588.
-(h - 196)*(h - 3)
Suppose -3*t**3 + 24*t**2 + 3*t - 24 = 0. What is t?
-1, 1, 8
Find r, given that 18*r**4 + 129*r**3 + 93*r**2 - 204*r - 36 = 0.
-6, -2, -1/6, 1
Factor 3*q**5/7 - 6*q**4/7 - 36*q**3/7 - 6*q**2 - 15*q/7.
3*q*(q - 5)*(q + 1)**3/7
Factor -3*t**3 + 87*t**2 - 741*t + 1521.
-3*(t - 13)**2*(t - 3)
Factor -2*b**5/19 - 34*b**4/19 - 176*b**3/19 - 288*b**2/19.
-2*b**2*(b + 4)**2*(b + 9)/19
Factor -5*r**5 - 55*r**4 + 125*r**3 - 65*r**2.
-5*r**2*(r - 1)**2*(r + 13)
Factor -3*l**4 + 9*l**3 + 54*l**2 + 12*l - 72.
-3*(l - 6)*(l - 1)*(l + 2)**2
Suppose 4*d**3/3 + 68*d**2/3 - 24*d = 0. Calculate d.
-18, 0, 1
What is g in g**5/2 - 19*g**4 + 393*g**3/2 - 270*g**2 - 486*g = 0?
-1, 0, 3, 18
Determine b so that 2*b**4 + 11*b**3/2 - 171*b**2/4 + 41*b + 13 = 0.
-13/2, -1/4, 2
Factor 3*w**2 + 840*w + 58800.
3*(w + 140)**2
Factor -k**2/7 + 25*k/7 - 46/7.
-(k - 23)*(k - 2)/7
Find k, given that -2*k**3/11 - 68*k**2/11 - 690*k/11 - 1800/11 = 0.
-15, -4
Determine l, given that l**4/4 - 7*l**3 + 25*l**2/4 + 27*l/2 = 0.
-1, 0, 2, 27
Determine k so that 3*k**5 - 51*k**4 + 123*k**3 + 411*k**2 + 234*k = 0.
-1, 0, 6, 13
Factor 5*n**5 - 965*n**4 - 1950*n**3 - 10*n**2 + 1945*n + 975.
5*(n - 195)*(n - 1)*(n + 1)**3
Let -y**4 + 10*y**3 + 4*y**2 - 136*y - 192 = 0. What is y?
-2, 6, 8
Factor -r**2 - 97*r - 96.
-(r + 1)*(r + 96)
Determine l, given that 420*l**3 + 188*l**2 + 8*l = 0.
-2/5, -1/21, 0
Factor 2*n**3 - 238*n**2 + 470*n - 234.
2*(n - 117)*(n - 1)**2
Let -5*m**4/3 + 20*m**3/3 - 5*m**2/3 - 10*m = 0. What is m?
-1, 0, 2, 3
Factor -t**2/4 + 263*t/2 - 69169/4.
-(t - 263)**2/4
Determine t, given that 35*t**5/2 - 62*t**4 + 82*t**3 - 49*t**2 + 25*t/2 - 1 = 0.
1/7, 2/5, 1
Factor 2*q**2/15 - 1156*q/15 + 167042/15.
2*(q - 289)**2/15
Let 2*i**3/9 - 4*i**2 + 10*i/3 + 68/9 = 0. Calculate i.
-1, 2, 17
Factor -k**3/4 + 51*k**2/4 - 36*k.
-k*(k - 48)*(k - 3)/4
Factor -2*b**2/7 - 130*b/7 - 708/7.
-2*(b + 6)*(b + 59)/7
Factor -5*n**4 - 280*n**3 - 5145*n**2 - 30870*n.
-5*n*(n + 14)*(n + 21)**2
Factor -3*s**4/5 - 4253*s**3/5 + 1418*s**2/5.
-s**2*(s + 1418)*(3*s - 1)/5
Suppose 3*q**3/7 + 3*q**2 - 24*q + 144/7 = 0. Calculate q.
-12, 1, 4
Factor -j**5/3 + 74*j**4 - 4107*j**3.
-j**3*(j - 111)**2/3
Factor v**2/4 + 661*v + 436921.
(v + 1322)**2/4
Find f such that -12*f**5 - 33*f**4 + 189*f**3 - 249*f**2 + 123*f - 18 = 0.
-6, 1/4, 1
Factor -90*f**2/7 - 2036*f/7 - 64.
-2*(5*f + 112)*(9*f + 2)/7
Let -5*k**3 - 195*k**2 + 5400*k - 29500 = 0. What is k?
-59, 10
Factor 27*f**4/2 - 26*f**3 + 23*f**2/2 + f.
f*(f - 1)**2*(27*f + 2)/2
Factor -s**3/6 - 1188*s**2 - 2117016*s.
-s*(s + 3564)**2/6
Factor a**2 - 84*a + 164.
(a - 82)*(a - 2)
Let 12*b**5 + 1184*b**4 - 432*b**3 - 3528*b**2 + 3556*b - 792 = 0. What is b?
-99, -2, 1/3, 1
Factor -5