27*i**2/4 - 33*i/2 = 0.
-1, 0, 2, 11
Let y**4 - 44*y**3 - 91*y**2 - 46*y = 0. What is y?
-1, 0, 46
Find l, given that 4*l**3 + 16*l**2 - 60*l - 72 = 0.
-6, -1, 3
Suppose 7*h**3/2 + 30*h**2 + 75*h/2 - 125 = 0. Calculate h.
-5, 10/7
Determine p so that 4*p**2 - 24*p + 36 = 0.
3
Factor 15*h**5/2 - 84*h**4 + 198*h**3 + 216*h**2.
3*h**2*(h - 6)**2*(5*h + 4)/2
Factor 2*v**3/9 + 14*v**2/9 - 82*v/9 + 22/3.
2*(v - 3)*(v - 1)*(v + 11)/9
Factor i**3/5 - 11*i**2 - 58*i/5 + 112/5.
(i - 56)*(i - 1)*(i + 2)/5
Let -2*g**2 + 764*g = 0. Calculate g.
0, 382
Suppose -3*l**2 - 252*l - 1617 = 0. What is l?
-77, -7
Factor 2*z**2 + 224*z + 6272.
2*(z + 56)**2
Let -3*b**3 + 27*b**2 - 72*b + 48 = 0. What is b?
1, 4
Let x**4/2 + 5*x**3/2 - 3*x**2 = 0. Calculate x.
-6, 0, 1
Factor -b**2/3 + b + 40/3.
-(b - 8)*(b + 5)/3
Determine m so that 5*m**4 + 3460*m**3 + 897870*m**2 + 103554340*m + 4478725205 = 0.
-173
Factor -3*w**2 + 153*w - 1032.
-3*(w - 43)*(w - 8)
Factor v**5 - 7*v**4 - 9*v**3 + 63*v**2.
v**2*(v - 7)*(v - 3)*(v + 3)
Let 11*o**5 + 51*o**4/2 + 6*o**3 - 2*o**2 = 0. What is o?
-2, -1/2, 0, 2/11
Determine a, given that 71*a**2/4 - 36*a + 1 = 0.
2/71, 2
What is b in -48*b**4 + 168*b**3 + 333*b**2 + 132*b + 15 = 0?
-1, -1/4, 5
Suppose v**3 - 138*v**2 + 6348*v - 97336 = 0. Calculate v.
46
Find s, given that -2*s**3/9 + 40*s**2 - 5518*s/3 + 31684/9 = 0.
2, 89
Determine s, given that -5*s**3 - 5*s**2 + 980*s + 980 = 0.
-14, -1, 14
Suppose 3*y**3 + 351*y**2 + 330*y - 2088 = 0. What is y?
-116, -3, 2
Determine k, given that -k**5 + 4*k**4/3 + 38*k**3/3 - 20*k**2/3 - 41*k - 24 = 0.
-8/3, -1, 3
Factor 5*w**4 + 15*w**3 + 5*w**2 - 15*w - 10.
5*(w - 1)*(w + 1)**2*(w + 2)
Factor c**4/3 + 14*c**3 - 29*c**2 + 44*c/3.
c*(c - 1)**2*(c + 44)/3
Determine s, given that s**4/7 + 19*s**3/7 + 16*s**2 + 156*s/7 - 288/7 = 0.
-8, -6, 1
Factor 196*t**4 - 168*t**3 - 748*t**2 + 672*t - 144.
4*(t - 2)*(t + 2)*(7*t - 3)**2
Suppose 2*y**3 + 24*y**2 + 70*y + 48 = 0. What is y?
-8, -3, -1
Factor 2*s**5/5 + 104*s**4/5 + 346*s**3 + 7884*s**2/5 - 21384*s/5 + 11664/5.
2*(s - 1)**2*(s + 18)**3/5
Determine b so that 2*b**3 - 2292*b**2 + 4578*b - 2288 = 0.
1, 1144
Find d such that -d**5/8 + 25*d**4/8 + 55*d**3/4 + 85*d**2/4 + 115*d/8 + 29/8 = 0.
-1, 29
Factor -m**3/7 + 6*m**2/7.
-m**2*(m - 6)/7
Factor j**3/5 + 9*j**2/5 - 4*j/5 - 36/5.
(j - 2)*(j + 2)*(j + 9)/5
Factor 12*a**4 + 28*a**3 - 72*a**2 + 32*a.
4*a*(a - 1)*(a + 4)*(3*a - 2)
Determine g, given that g**5/2 - 5*g**4 + 29*g**3/2 - 16*g**2 + 6*g = 0.
0, 1, 2, 6
Suppose -2*g**2/11 - 38*g/11 = 0. What is g?
-19, 0
Determine g so that -5*g**3 - 345*g**2 - 4995*g + 34225 = 0.
-37, 5
Let -3*x**4/7 - 108*x**3/7 + 3*x**2/7 + 108*x/7 = 0. What is x?
-36, -1, 0, 1
Factor -3*c**3 + 36*c**2 - 132*c + 144.
-3*(c - 6)*(c - 4)*(c - 2)
Find w such that w**3/6 - 122*w**2/3 - 497*w/2 - 375 = 0.
-3, 250
Determine g so that g**2/2 + 71*g + 5041/2 = 0.
-71
Solve -r**2 + 19*r + 20 = 0 for r.
-1, 20
Determine m, given that 2*m**2/11 - 54*m/11 = 0.
0, 27
Factor -5*z**4 + 110*z**3 + 125*z**2 - 230*z.
-5*z*(z - 23)*(z - 1)*(z + 2)
Suppose -27*a**4 - 39*a**3 - 12*a**2 = 0. Calculate a.
-1, -4/9, 0
Factor -12*y**3 + 72*y**2 - 63*y - 147.
-3*(y + 1)*(2*y - 7)**2
Factor -3*c**4 - 108*c**3 - 1452*c**2 - 8640*c - 19200.
-3*(c + 8)**2*(c + 10)**2
Let 32*k**5 + 2896*k**4 + 1422*k**3 - 1621*k**2 - 89*k + 90 = 0. Calculate k.
-90, -1, -1/4, 1/4, 1/2
Factor -3*v**4 + 6*v**3 + 15*v**2 - 18*v.
-3*v*(v - 3)*(v - 1)*(v + 2)
Find a, given that -a**5/3 - a**4 - 2*a**3/3 = 0.
-2, -1, 0
Determine h so that -25*h**5 - 55*h**4 + 165*h**3 - 65*h**2 - 20*h = 0.
-4, -1/5, 0, 1
Factor 3*r**4 - 42*r**3 + 156*r**2 - 198*r + 81.
3*(r - 9)*(r - 3)*(r - 1)**2
Factor 3*f**4 - 5634*f**3 + 2639523*f**2 + 5295960*f + 2650800.
3*(f - 940)**2*(f + 1)**2
Factor 84*d**2 + 100*d + 24.
4*(3*d + 1)*(7*d + 6)
Factor 48*w**2 + 50*w + 2.
2*(w + 1)*(24*w + 1)
Factor -5*r**2/6 - 40*r/3 - 160/3.
-5*(r + 8)**2/6
Solve -v**4/3 - 14*v**3/3 + v**2/3 + 14*v/3 = 0 for v.
-14, -1, 0, 1
Factor -21*f**3/2 - 69*f**2/2 - 30*f - 6.
-3*(f + 1)*(f + 2)*(7*f + 2)/2
What is b in -12*b**3 + 440*b**2 - 284*b - 144 = 0?
-1/3, 1, 36
Determine i so that -i**2/6 - 1970*i/3 - 1940450/3 = 0.
-1970
Factor -2*j**3/3 - 22*j**2/3 - 16*j/3 + 40/3.
-2*(j - 1)*(j + 2)*(j + 10)/3
Let -2*b**5 - 66*b**4 - 502*b**3 + 842*b**2 + 2040*b - 2312 = 0. Calculate b.
-17, -2, 1, 2
Factor -5*y**3 + 430*y**2 + 8955*y + 42120.
-5*(y - 104)*(y + 9)**2
Find t such that -2*t**2/11 + 4*t/11 + 16/11 = 0.
-2, 4
Factor 34*k**3 + 2010*k**2 + 4112*k + 456.
2*(k + 2)*(k + 57)*(17*k + 2)
Let -48*u**5 - 2*u**4 + 144*u**3 - 90*u**2 - 4*u = 0. What is u?
-2, -1/24, 0, 1
Factor w**2 - 4*w.
w*(w - 4)
Factor 18*z**3 + 1740*z**2 + 1154*z + 192.
2*(z + 96)*(3*z + 1)**2
Factor -2*w**2/15 + 46*w/15 - 44/15.
-2*(w - 22)*(w - 1)/15
Determine z so that 5*z**2 + 15*z - 20 = 0.
-4, 1
Suppose 4*n**4 + 76*n**3 - 80*n**2 = 0. Calculate n.
-20, 0, 1
Determine p, given that -15*p**5 + 200*p**4 + 140*p**3 = 0.
-2/3, 0, 14
Factor -2*n**3 + 30*n**2 - 126*n + 98.
-2*(n - 7)**2*(n - 1)
Let 5*n**5 + 30*n**4 + 20*n**3 - 30*n**2 - 25*n = 0. What is n?
-5, -1, 0, 1
Let -k**3 - 1212*k**2 - 489648*k - 65939264 = 0. Calculate k.
-404
Factor -2*k**3 - 4724*k**2 - 2789522*k.
-2*k*(k + 1181)**2
Factor 5*t**3 + 25*t**2 - 20*t - 100.
5*(t - 2)*(t + 2)*(t + 5)
Factor -10*b**5/3 + 2*b**4.
-2*b**4*(5*b - 3)/3
Factor -5*d**3 + 8070*d**2 - 4341660*d + 778604360.
-5*(d - 538)**3
Factor 2*k**2/7 - 2*k.
2*k*(k - 7)/7
Determine u so that -14*u**3 + 486*u**2/7 + 20*u/7 = 0.
-2/49, 0, 5
Determine w so that w**4/6 + 8*w**3/3 + 15*w**2 + 36*w + 63/2 = 0.
-7, -3
Find r, given that -4*r**5 + 32*r**4 - 64*r**3 = 0.
0, 4
Determine x so that -x**2/2 - 23*x/2 - 63 = 0.
-14, -9
Determine t, given that -t**5/5 - 4*t**4 - 113*t**3/5 - 214*t**2/5 - 24*t = 0.
-12, -5, -2, -1, 0
Factor -4*j**2 - 96*j + 580.
-4*(j - 5)*(j + 29)
Factor 2*v**3/5 - 76*v**2/5 + 592*v/5 - 896/5.
2*(v - 28)*(v - 8)*(v - 2)/5
Solve 5*r**3 - 20*r**2 - 425*r + 440 = 0.
-8, 1, 11
What is l in 2*l**2 + 8*l = 0?
-4, 0
Factor 33*f**2 - 666*f + 120.
3*(f - 20)*(11*f - 2)
Solve -f**5/2 - 13*f**4 - 177*f**3/2 - 212*f**2 - 136*f = 0.
-17, -4, -1, 0
Solve -2*n**5 + 14*n**4 - 26*n**3 + 2*n**2 + 28*n - 16 = 0.
-1, 1, 2, 4
Suppose -10*p**5/23 - 304*p**4/23 - 2370*p**3/23 - 900*p**2/23 = 0. What is p?
-15, -2/5, 0
Find f, given that -f**5/4 - 3*f**4 = 0.
-12, 0
Factor -3*d**3 + 33*d**2 - 102*d + 72.
-3*(d - 6)*(d - 4)*(d - 1)
Solve 2*a**2 - 922*a - 1852 = 0.
-2, 463
Factor v**4/4 - 13*v**3/2 + 213*v**2/4 - 143*v + 121.
(v - 11)**2*(v - 2)**2/4
Factor 5*i**2 + 8160*i + 3329280.
5*(i + 816)**2
Factor -3*l**4/8 - 15*l**3/8 - 9*l**2/4 + 3*l/2 + 3.
-3*(l - 1)*(l + 2)**3/8
Factor 4*z**2 - 100*z - 104.
4*(z - 26)*(z + 1)
Suppose -2*p**4/9 + 8*p**3/3 - 32*p**2/3 + 128*p/9 = 0. What is p?
0, 4
Factor 2*n**2 + 104*n + 1352.
2*(n + 26)**2
Factor 10*c**5 - 275*c**4 + 135*c**3.
5*c**3*(c - 27)*(2*c - 1)
Factor -4*g**2 - 13844*g + 13848.
-4*(g - 1)*(g + 3462)
Factor -4*z**4/9 - 112*z**3/3 - 2236*z**2/3 + 14792*z/9.
-4*z*(z - 2)*(z + 43)**2/9
Solve 3*w**5 - 6*w**4 - 18*w**3 + 24*w**2 + 15*w - 18 = 0 for w.
-2, -1, 1, 3
Factor -3*g**2 + 42*g.
-3*g*(g - 14)
Determine o so that -3*o**4/4 + 9*o**2 - 12*o = 0.
-4, 0, 2
Find t, given that -2*t**4/7 - 22*t**3/7 - 16*t**2/7 + 40*t/7 = 0.
-10, -2, 0, 1
Factor -147*z**5/4 - 168*z**4 - 87*z**3 - 12*z**2.
-3*z**2*(z + 4)*(7*z + 2)**2/4
Find m, given that 2*m**3 - 46*m**2 + 222*m - 306 = 0.
3, 17
Let -15*c**4 - 81*c**3 - 75*c**2 + 117*c + 54 = 0. Calculate c.
-3, -2/5, 1
Factor -2*q**2 - 50*q + 612.
-2*(q - 9)*(q + 34)
Let -3*p**2/2 + 51*p - 867/2 = 0. What is p?
17
Let -15*v**4 + 156*v**3 + 135*v**2 - 408*v + 132 = 0. What is v?
-2, 2/5, 1, 11
Let 3*n**5 + 1644*n**4 + 221919*n**3 - 905838*n**2 + 1139328*n - 457056 = 0. Calculate n.
-276, 1, 2
What is c in 2*c**3 + 10*c**2 + 6*c - 18 = 0?
-3, 1
Suppose -76*i**3 + 100*i**2 - 24*i = 0. What is i?
0, 6/19, 1
Suppose z**4 - 14*z**3 + 68*z**2 - 130*z + 75 = 0. What is z?
1, 3, 5
Factor -w**2/4 - 2242*w - 5026564.
-(w + 4484)**2/4
Solve -o**3 - 5*o**2 - 3*o + 9 = 0 for o.
-3, 1
Factor 3*w**2/4 - 39*w/4 - 225.
3*(w - 25)*(w + 12)/4
Factor 16*m**3 - 76*m**2 + 201*m/4 - 9.
(m - 4)*(8*m - 3)**2/4
Factor n**3/4 +