2)**2*(f + 4)**2/3
Determine m, given that 6*m**3 + 70*m**2 - 24*m = 0.
-12, 0, 1/3
Factor -2*m**3/7 + 30*m**2/7 - 124*m/7 + 96/7.
-2*(m - 8)*(m - 6)*(m - 1)/7
Factor 5*d**4 + 240*d**3 + 2355*d**2 - 12740*d + 10140.
5*(d - 3)*(d - 1)*(d + 26)**2
Factor -5*r**3 + 2210*r**2 + 2215*r.
-5*r*(r - 443)*(r + 1)
Find s such that -s**4 - s**3 + 2*s**2 = 0.
-2, 0, 1
Factor -l**3 + 48*l**2 - 47*l.
-l*(l - 47)*(l - 1)
Solve -12*j**3 + 38*j**2 - 6*j = 0 for j.
0, 1/6, 3
Factor -h**2 - 13*h - 42.
-(h + 6)*(h + 7)
Factor -a**3 + 35*a**2 - 34*a.
-a*(a - 34)*(a - 1)
What is n in 9*n**3 - 65*n**2 + 104*n - 20 = 0?
2/9, 2, 5
Let -4*k**5 - 4*k**4 + 152*k**3 + 440*k**2 + 428*k + 140 = 0. Calculate k.
-5, -1, 7
Factor o**3/2 - 7*o/2 - 3.
(o - 3)*(o + 1)*(o + 2)/2
Factor -2*v**4/15 + 2*v**3/15 + 12*v**2/5 - 104*v/15 + 16/3.
-2*(v - 2)**3*(v + 5)/15
What is s in -2*s**5/11 - 6*s**4/11 + 18*s**3/11 - 10*s**2/11 = 0?
-5, 0, 1
Determine t, given that 5*t**2 - 330*t = 0.
0, 66
Find q, given that -q**5/3 + 14*q**4 - 104*q**3/3 - 174*q**2 + 195*q = 0.
-3, 0, 1, 5, 39
Let 2*j**5/11 - 6*j**3/11 + 4*j**2/11 = 0. What is j?
-2, 0, 1
Factor 5*i**3 + 65*i**2 - 200*i - 3500.
5*(i - 7)*(i + 10)**2
Suppose 4*z**2 + 136*z + 256 = 0. What is z?
-32, -2
Factor -2*f**2 - 1600*f - 320000.
-2*(f + 400)**2
Suppose 33*m**3 - 309*m**2 + 570*m - 168 = 0. What is m?
4/11, 2, 7
Factor -2*a**2 + 972*a - 118098.
-2*(a - 243)**2
Determine h so that 2*h**2/13 + 1308*h/13 + 2608/13 = 0.
-652, -2
Let 3*f**4 + 15*f**3 + 15*f**2 - 15*f - 18 = 0. What is f?
-3, -2, -1, 1
Factor s**5/4 - 9*s**4/4 + 6*s**3 - 5*s**2.
s**2*(s - 5)*(s - 2)**2/4
Let -12*m**3 - 28*m**2 + 360*m - 224 = 0. Calculate m.
-7, 2/3, 4
Suppose -2*m**3/7 - 18*m**2/7 = 0. Calculate m.
-9, 0
Factor 2*y**4/7 - 30*y**3/7.
2*y**3*(y - 15)/7
Solve -n**3/4 + 239*n**2/2 - 953*n/4 + 119 = 0 for n.
1, 476
Suppose 2235*c**3 + 8934*c**2 - 24*c = 0. Calculate c.
-4, 0, 2/745
Suppose 3*h**2 + 10*h + 3 = 0. Calculate h.
-3, -1/3
Factor -4*v**2 + 176*v - 1936.
-4*(v - 22)**2
Determine y, given that -6*y**4 - 56*y**3 - 138*y**2 - 112*y - 24 = 0.
-6, -2, -1, -1/3
Factor 3*w**3 - 222*w**2/5 - 9*w.
3*w*(w - 15)*(5*w + 1)/5
Suppose 4*q**4 + 56*q**3 = 0. What is q?
-14, 0
Factor -2*d**2/5 - 56*d/5 + 58/5.
-2*(d - 1)*(d + 29)/5
Factor -v**3/5 - 69*v**2/5 - 134*v/5.
-v*(v + 2)*(v + 67)/5
Find c such that c**4 - 7*c**3 - 18*c**2 = 0.
-2, 0, 9
Let -2*q**2/7 - 116*q/7 - 330/7 = 0. What is q?
-55, -3
Factor -2*z**2 - 524*z.
-2*z*(z + 262)
Factor 2*b**5 - 12*b**4 - 8*b**3 + 48*b**2.
2*b**2*(b - 6)*(b - 2)*(b + 2)
Factor -b**4/3 - 5*b**3/3 - 4*b**2/3.
-b**2*(b + 1)*(b + 4)/3
Suppose 2*t**5/3 + 8*t**4/3 - 4*t**3 - 8*t**2/3 + 10*t/3 = 0. What is t?
-5, -1, 0, 1
Factor 3*w**3 + 393*w**2 - 5943*w + 21315.
3*(w - 7)**2*(w + 145)
Find i, given that -4*i**4 + 32*i**3 - 44*i**2 - 80*i = 0.
-1, 0, 4, 5
Factor z**5 - 9*z**4 + 13*z**3 + 45*z**2 - 50*z.
z*(z - 5)**2*(z - 1)*(z + 2)
Solve -14*o**4/13 - 380*o**3/13 + 26*o**2 + 56*o/13 = 0 for o.
-28, -1/7, 0, 1
Factor 4*k**3 + 44*k**2 - 64*k - 1280.
4*(k - 5)*(k + 8)**2
Factor -z**3/3 - 14*z**2 + 43*z/3.
-z*(z - 1)*(z + 43)/3
Suppose -4*n**2 - 4*n + 8 = 0. What is n?
-2, 1
Suppose 1753*p**3/4 - 3507*p**2/2 + 5267*p/4 - 3/2 = 0. Calculate p.
2/1753, 1, 3
Factor 6*k**3/5 - 676*k**2/5 + 19264*k/5 - 12544/5.
2*(k - 56)**2*(3*k - 2)/5
Factor -i**4/2 + 16*i**3 - 84*i**2 - 1568*i + 13720.
-(i - 14)**3*(i + 10)/2
Factor a**3/4 + 3*a**2/2 - 8.
(a - 2)*(a + 4)**2/4
Factor 52*f**2 + 148*f - 24.
4*(f + 3)*(13*f - 2)
Factor -q**3/4 + 11*q**2/2 - 153*q/4 + 81.
-(q - 9)**2*(q - 4)/4
Solve -b**5 + 2*b**4 + 10*b**3 - 8*b**2 - 33*b - 18 = 0.
-2, -1, 3
Factor -o**2 - 144*o + 441.
-(o - 3)*(o + 147)
Factor -33*t**3/4 + 8*t**2 + t/4.
-t*(t - 1)*(33*t + 1)/4
Suppose -4*r**5/5 - 776*r**4/5 - 50692*r**3/5 - 1147648*r**2/5 - 2146304*r/5 - 1048576/5 = 0. What is r?
-64, -1
Let 2*x**2/5 - 2140*x + 2862250 = 0. What is x?
2675
Suppose -4*r**2 - 12*r + 160 = 0. Calculate r.
-8, 5
Find t such that -9*t**4 - 30*t**3 + 69*t**2 - 30*t = 0.
-5, 0, 2/3, 1
Factor -2*q**2/15 - 148*q/15 - 46.
-2*(q + 5)*(q + 69)/15
Let 5*i**2/2 - 21*i/2 + 2 = 0. Calculate i.
1/5, 4
Factor 2*i**2/5 + 1588*i/5 + 315218/5.
2*(i + 397)**2/5
Find c, given that 25*c**5 - 795*c**4 + 5394*c**3 + 14578*c**2 + 10965*c + 2601 = 0.
-1, -3/5, 17
Factor 4*p**2 + 1928*p + 232324.
4*(p + 241)**2
Factor -4*z**3 + 80*z**2 + 1412*z - 1488.
-4*(z - 31)*(z - 1)*(z + 12)
Factor -2*h**5/7 + 48*h**4/7 - 368*h**3/7 + 960*h**2/7 - 800*h/7.
-2*h*(h - 10)**2*(h - 2)**2/7
Factor 4*d**4 + 104*d**3 + 916*d**2 + 3120*d + 3600.
4*(d + 3)**2*(d + 10)**2
Factor -3*p**2/2 - 231*p/2 + 882.
-3*(p - 7)*(p + 84)/2
Solve 2*n**2 - 1848*n + 426888 = 0.
462
Determine t so that -2*t**4/3 + 40*t**3/3 - 64*t**2/3 - 160*t/3 + 96 = 0.
-2, 2, 18
Factor 2*o**3 - 11*o**2 + 5*o + 18.
(o - 2)*(o + 1)*(2*o - 9)
Factor 20*q**2 - 5*q.
5*q*(4*q - 1)
Determine w so that 160*w**3 + 188*w**2 + 16*w - 12 = 0.
-1, -3/8, 1/5
Suppose -2*w**5/3 + 8*w**4/3 + 254*w**3/3 + 1036*w**2/3 + 504*w + 240 = 0. What is w?
-6, -2, -1, 15
Find b, given that -58*b**5/3 - 634*b**4/3 - 1522*b**3/3 - 1342*b**2/3 - 364*b/3 + 32/3 = 0.
-8, -1, 2/29
Determine p, given that 17*p**3/4 - 185*p**2/4 - 113*p/2 - 6 = 0.
-1, -2/17, 12
Determine t, given that -14*t**5 + 172*t**4 + 330*t**3 + 88*t**2 - 56*t = 0.
-1, 0, 2/7, 14
Factor -r**5/5 - 7*r**4/5 - 3*r**3 - 9*r**2/5.
-r**2*(r + 1)*(r + 3)**2/5
Factor -z**2/8 - 15*z/2 - 225/2.
-(z + 30)**2/8
Factor 2*t**3/3 - 14*t**2/3 - 14*t + 18.
2*(t - 9)*(t - 1)*(t + 3)/3
Solve -z**5/9 + 11*z**4/9 - 34*z**3/9 - 8*z**2/9 + 160*z/9 - 128/9 = 0.
-2, 1, 4
Factor -a**5 - 3*a**4 - 2*a**3 + 2*a**2 + 3*a + 1.
-(a - 1)*(a + 1)**4
Factor -4*a**3 + 384*a**2 - 9936*a + 33856.
-4*(a - 46)**2*(a - 4)
Factor 2*i**4 + 6*i**3 - 6*i**2 - 14*i + 12.
2*(i - 1)**2*(i + 2)*(i + 3)
Factor j**3/5 + 7*j**2/5 - 49*j/5 - 343/5.
(j - 7)*(j + 7)**2/5
Factor -5*y**4 - 30*y**3 + 640*y**2 - 2400*y + 2560.
-5*(y - 4)**2*(y - 2)*(y + 16)
Factor 3*l**3 - 6*l**2 - 21*l - 12.
3*(l - 4)*(l + 1)**2
Solve -20*b**5 - 520*b**4 - 5065*b**3 - 22535*b**2 - 44400*b - 31500 = 0 for b.
-15/2, -7, -2
What is d in 2*d**4/7 + 9*d**3/7 + d**2/7 - 3*d + 9/7 = 0?
-3, 1/2, 1
Factor -2*y**5/7 - 4*y**4/7.
-2*y**4*(y + 2)/7
Let 2*b**3/21 - 1760*b**2/21 + 387200*b/21 = 0. What is b?
0, 440
Determine b so that 4*b**4 + 12*b**3 - 32*b**2 - 48*b + 64 = 0.
-4, -2, 1, 2
Suppose -2*o**4 + 36*o**3 - 94*o**2 + 60*o = 0. What is o?
0, 1, 2, 15
Factor 5*h**3 + 20*h**2 - 60*h.
5*h*(h - 2)*(h + 6)
Factor -20*s**5/3 - 88*s**4/3 - 112*s**3/3 - 32*s**2/3.
-4*s**2*(s + 2)**2*(5*s + 2)/3
Factor w**3/4 - 31*w**2/4 - 9*w/4 + 279/4.
(w - 31)*(w - 3)*(w + 3)/4
Factor -3*q**2/4 + 21*q/4 + 45.
-3*(q - 12)*(q + 5)/4
Find v, given that -6*v**3 - 2*v**2 + 4*v = 0.
-1, 0, 2/3
Determine k so that 3*k**2/8 - 243*k/8 - 1425/2 = 0.
-19, 100
Factor -2*r**2/17 - 28*r/17 + 144/17.
-2*(r - 4)*(r + 18)/17
Suppose -2*f**5 + 56*f**4 - 530*f**3 + 1772*f**2 - 440*f - 2800 = 0. What is f?
-1, 2, 7, 10
Factor -3*y**4 - 36*y**3 + 3*y**2 + 36*y.
-3*y*(y - 1)*(y + 1)*(y + 12)
Factor 4*y**2 + 672*y + 668.
4*(y + 1)*(y + 167)
Determine q, given that 14*q**5 - 16*q**4 - 40*q**3 + 76*q**2 - 38*q + 4 = 0.
-2, 1/7, 1
Determine z, given that -2*z**3/3 - 4*z**2 - 10*z/3 + 8 = 0.
-4, -3, 1
Factor 39*g**2/7 + 18*g.
3*g*(13*g + 42)/7
Find x, given that -4*x**5 + 336*x**4 + 1384*x**3 + 2096*x**2 + 1404*x + 352 = 0.
-1, 88
What is h in 3*h**2/2 - 63*h + 120 = 0?
2, 40
Factor l**3/6 + 7*l**2/2 - l/6 - 7/2.
(l - 1)*(l + 1)*(l + 21)/6
Let 2*v**3 + 78*v**2 + 76*v = 0. What is v?
-38, -1, 0
Factor 2*a**2 - 376*a + 744.
2*(a - 186)*(a - 2)
What is w in -2*w**3/9 - 4*w**2 - 18*w - 24 = 0?
-12, -3
Let -2*l**4/3 - 224*l**3/3 - 442*l**2/3 - 220*l/3 = 0. What is l?
-110, -1, 0
Suppose 45*o**5 - 78*o**4 - 366*o**3 + 696*o**2 - 351*o + 54 = 0. Calculate o.
-3, 1/3, 2/5, 1, 3
Factor 2*m**2 - 144*m.
2*m*(m - 72)
What is w in 910*w**4 - 1304*w**3 + 406*w**2 - 12*w = 0?
0, 3/91, 2/5, 1
Factor 4*z**3/5 + 2*z**2 - 146*z/5 + 48.
2*(z - 3)*(z + 8)*(2*z - 5)/5
Factor -j**4/7 + 26*j**3/7 - 113*j**2/7 + 172*j/7 - 12.
-(j - 21)*(j - 2)**2*(j - 1)/7
Suppose 3*z**5 + 165*z**4 + 630*z**3 + 930*z**2 + 615*z + 153 = 0. What is z?
-51, -1
Factor 4*g**2/9 + 4*g/3 - 8.
4*(g 