 9*k**3 + 45*k**2 + 51*k + 18 = 0. What is k?
-1, 6
Factor 2*t**4/7 + 76*t**3/7 - 78*t**2/7.
2*t**2*(t - 1)*(t + 39)/7
Find a, given that -2*a**3/7 + 2*a**2/7 + 18*a/7 - 18/7 = 0.
-3, 1, 3
What is f in 2*f**3/13 - 10*f**2/13 + 6*f/13 + 18/13 = 0?
-1, 3
Let 8*k**5/5 + 24*k**4/5 - 22*k**3/5 - 84*k**2/5 - 58*k/5 - 12/5 = 0. Calculate k.
-3, -1, -1/2, 2
Let 20*w**5 + 144*w**4 + 124*w**3 = 0. Calculate w.
-31/5, -1, 0
Factor -k**2/2 + 87*k/2 + 89.
-(k - 89)*(k + 2)/2
Factor 76*w**3/3 + 172*w**2/3 + 116*w/3 + 20/3.
4*(w + 1)**2*(19*w + 5)/3
Factor -2*x**3 - 118*x**2 - 1358*x - 4410.
-2*(x + 7)**2*(x + 45)
Factor c**3 - 8*c**2 - 11*c + 18.
(c - 9)*(c - 1)*(c + 2)
Solve -15*w**4/2 - 18*w**3 + 27*w**2/2 = 0 for w.
-3, 0, 3/5
Find v, given that 3*v**2/2 - 3*v - 45/2 = 0.
-3, 5
Solve -q**5 + 3*q**4 + 18*q**3 - 86*q**2 + 111*q - 45 = 0.
-5, 1, 3
Determine w so that 21*w**4/4 + 45*w**3/2 + 45*w**2/4 - 30*w - 9 = 0.
-3, -2, -2/7, 1
Suppose l**2/5 + 20*l + 500 = 0. What is l?
-50
Factor 3*s**2 - 159*s + 156.
3*(s - 52)*(s - 1)
Let -2*f**3 + 276*f**2 + 560*f = 0. Calculate f.
-2, 0, 140
Factor -3*d**3 + 195*d**2 - 1824*d - 47652.
-3*(d - 38)**2*(d + 11)
Factor 6*m**2 - 11888*m - 7928.
2*(m - 1982)*(3*m + 2)
Suppose -4*j**4 + 112*j**3 - 548*j**2 - 904*j + 1344 = 0. Calculate j.
-2, 1, 8, 21
Solve -2*c**2/3 + 22*c/3 - 16 = 0 for c.
3, 8
Factor -2*m**4/3 + 16*m**3/3 - 10*m**2.
-2*m**2*(m - 5)*(m - 3)/3
Find y, given that -y**3 - 272*y**2 - 19028*y - 71824 = 0.
-134, -4
Find g such that 2*g**2/5 - 268*g/5 = 0.
0, 134
Factor -2*q**2/13 - 20*q/13 + 462/13.
-2*(q - 11)*(q + 21)/13
Factor -44*z**2 - 84*z + 8.
-4*(z + 2)*(11*z - 1)
Find g, given that 14*g**4/3 + 7108*g**3/3 - 16298*g**2/3 + 11216*g/3 - 680 = 0.
-510, 2/7, 1
Factor 6*o**2 - 14*o + 4.
2*(o - 2)*(3*o - 1)
Find x such that 273*x**5/5 - 1156*x**4/5 + 1617*x**3/5 - 170*x**2 + 108*x/5 + 8/5 = 0.
-2/39, 2/7, 1, 2
Determine y so that -y**4 - y**3 + 3*y**2 + y - 2 = 0.
-2, -1, 1
Factor 4*x**3 + 132*x**2 - 592*x.
4*x*(x - 4)*(x + 37)
Factor 5*c**2/3 - 37*c + 22/3.
(c - 22)*(5*c - 1)/3
Solve -3*o**2 + 6*o + 45 = 0.
-3, 5
What is i in -5*i**3 + 330*i**2 + 3305*i + 5250 = 0?
-7, -2, 75
Find q such that 2*q**5 + 41*q**4 - 118*q**3 - 61*q**2 + 188*q + 92 = 0.
-23, -1, -1/2, 2
Factor o**2 + 5*o - 6.
(o - 1)*(o + 6)
Factor 3*d**5/4 + 3*d**4/2 - 9*d**3 + 21*d**2/2 - 15*d/4.
3*d*(d - 1)**3*(d + 5)/4
Suppose 2*v**5/7 + 64*v**4/7 + 300*v**3/7 - 1384*v**2/7 - 3422*v/7 - 1800/7 = 0. What is v?
-25, -9, -1, 4
Find b such that -4*b**4 + 20*b**3 + 84*b**2 - 212*b + 112 = 0.
-4, 1, 7
Factor o**3/2 + 8*o**2 - 35*o/2 + 9.
(o - 1)**2*(o + 18)/2
Factor t**2 + 189*t - 190.
(t - 1)*(t + 190)
Let 270494*j**2 + 2780*j + 50/7 = 0. Calculate j.
-5/973
Factor -b**5 - 6*b**4 - 11*b**3 - 2*b**2 + 12*b + 8.
-(b - 1)*(b + 1)*(b + 2)**3
Factor -y**2 - 46*y - 45.
-(y + 1)*(y + 45)
Factor -j**3 - 30*j**2 - 27*j + 58.
-(j - 1)*(j + 2)*(j + 29)
Factor -f**4/5 - 21*f**3/5 - 4*f**2.
-f**2*(f + 1)*(f + 20)/5
Factor 54*g**2 - 51*g - 3.
3*(g - 1)*(18*g + 1)
Factor w**5 + 3*w**4 - 10*w**3.
w**3*(w - 2)*(w + 5)
Factor -h**3 - 75*h**2 - 218*h - 144.
-(h + 1)*(h + 2)*(h + 72)
Factor -923521*q**4 + 2144952*q**3 - 1868184*q**2 + 723168*q - 104976.
-(31*q - 18)**4
Determine n so that 2*n**2 + 48*n + 280 = 0.
-14, -10
Let 2*c**3 - 62*c**2 - 130*c - 66 = 0. Calculate c.
-1, 33
Solve 2*p**2/3 - 308*p/3 + 1490/3 = 0 for p.
5, 149
Suppose -4*x**2 + 1848*x = 0. Calculate x.
0, 462
Determine n, given that -n**3/2 - 7*n**2 - 29*n/2 + 22 = 0.
-11, -4, 1
Let o**4 + 18*o**3 + 36*o**2 - 418*o + 363 = 0. What is o?
-11, 1, 3
Factor 3*h**2/5 - 6*h/5 - 24/5.
3*(h - 4)*(h + 2)/5
Factor -5*k**4 + 180*k**3 + 415*k**2 - 1350*k + 760.
-5*(k - 38)*(k - 1)**2*(k + 4)
Factor -16*m**3 + 3860*m**2 + 6812*m - 1944.
-4*(m - 243)*(m + 2)*(4*m - 1)
Find g such that -54*g**3 + 55*g**2 - g = 0.
0, 1/54, 1
Factor 45*h**3 - 2240*h**2 - 500*h.
5*h*(h - 50)*(9*h + 2)
Solve a**4 - 8*a**3 + 11*a**2 + 8*a - 12 = 0.
-1, 1, 2, 6
Factor x**5/2 - 7*x**4/2 + 17*x**3/2 - 17*x**2/2 + 3*x.
x*(x - 3)*(x - 2)*(x - 1)**2/2
Factor 12482*o**2/17 + 1896*o/17 + 72/17.
2*(79*o + 6)**2/17
Factor 10*l**4 - 95*l**3 + 285*l**2 - 320*l + 100.
5*(l - 5)*(l - 2)**2*(2*l - 1)
Determine r, given that -3*r**2 + 102*r - 99 = 0.
1, 33
Suppose 78*m**2/7 - 69*m/7 - 9/7 = 0. What is m?
-3/26, 1
Suppose 2*c**5/9 - 4*c**4/9 - 2*c**3 + 44*c**2/9 + 8*c/9 - 16/3 = 0. Calculate c.
-3, -1, 2
Factor 2*g**3/17 + 50*g**2/17 + 406*g/17 + 1078/17.
2*(g + 7)**2*(g + 11)/17
Find y, given that 2*y**3/11 + 4*y**2/11 = 0.
-2, 0
Factor -4*q**3 + 64*q**2 - 284*q + 224.
-4*(q - 8)*(q - 7)*(q - 1)
Determine z so that z**3/4 + 1041*z**2 - 8331*z/4 + 2083/2 = 0.
-4166, 1
Factor 2*o**3/5 + 776*o**2/5 - 312*o.
2*o*(o - 2)*(o + 390)/5
Factor -3*c**4 - 147*c**3 - 285*c**2 - 141*c.
-3*c*(c + 1)**2*(c + 47)
Factor 4*o**5 + 28*o**4 + 16*o**3 - 48*o**2.
4*o**2*(o - 1)*(o + 2)*(o + 6)
Factor 10*p**3 + 156*p**2 + 216*p - 112.
2*(p + 2)*(p + 14)*(5*p - 2)
Factor 5*d**2 - 3280*d + 537920.
5*(d - 328)**2
Solve 2*t**2/13 - 100*t/13 - 102/13 = 0.
-1, 51
Suppose -12*b**5 - 32*b**4 + 40*b**2 + 12*b - 8 = 0. Calculate b.
-2, -1, 1/3, 1
Factor h**3 - 70*h**2 - 143*h - 72.
(h - 72)*(h + 1)**2
Suppose 16*i**5 + 412*i**4 - 536*i**3 + 108*i**2 = 0. What is i?
-27, 0, 1/4, 1
Factor -15*g**3 - 1445*g**2 + 970*g.
-5*g*(g + 97)*(3*g - 2)
Factor -5*q**4 + 60*q**3 - 100*q**2.
-5*q**2*(q - 10)*(q - 2)
What is w in 2*w**2/3 - 4*w - 80/3 = 0?
-4, 10
Solve 1536*o**4 + 67392*o**3 - 77112*o**2 + 29079*o - 3645 = 0.
-45, 3/8
Factor -3*q**3 - 48*q**2 - 177*q - 132.
-3*(q + 1)*(q + 4)*(q + 11)
Factor 2*b**2/7 + 6*b/7 - 20.
2*(b - 7)*(b + 10)/7
Solve -2*u**5 - 2*u**4 + 2*u**3 + 2*u**2 = 0.
-1, 0, 1
Find q, given that 2*q**5/17 + 10*q**4/17 - 6*q**3/17 - 2*q**2 - 20*q/17 = 0.
-5, -1, 0, 2
Factor -4*n**3/7 - 1368*n**2/7 - 116964*n/7.
-4*n*(n + 171)**2/7
Factor 4*m**2 + 408*m + 6804.
4*(m + 21)*(m + 81)
Factor -i**3/4 - 17*i**2/4.
-i**2*(i + 17)/4
Factor -k**2/7 - 1668*k/7 - 695556/7.
-(k + 834)**2/7
Solve g**2/4 + 26*g + 676 = 0 for g.
-52
Solve 324*w**5 - 504*w**4 + 52*w**3 + 112*w**2 + 16*w = 0 for w.
-2/9, 0, 1
Let 2*m**5/5 + 106*m**4/5 + 150*m**3 + 1342*m**2/5 - 80*m - 360 = 0. What is m?
-45, -5, -2, 1
What is f in -36*f**5/5 - 44*f**4/5 + 64*f**3/5 + 16*f**2/5 = 0?
-2, -2/9, 0, 1
Factor 28*d**4 + 888*d**3 - 256*d**2.
4*d**2*(d + 32)*(7*d - 2)
Suppose g**3/4 - 13*g**2/4 + 35*g/4 + 49/4 = 0. Calculate g.
-1, 7
Factor -5*z**3 + 30*z**2 - 45*z + 20.
-5*(z - 4)*(z - 1)**2
Suppose -a**3/7 + 3*a**2/7 + 4*a/7 = 0. Calculate a.
-1, 0, 4
Factor l**3 - 454*l**2 + 52864*l - 301056.
(l - 224)**2*(l - 6)
Let -3*f**2/2 + 4341*f - 6281427/2 = 0. Calculate f.
1447
Find p such that -24*p**3/5 + 52*p**2 - 416*p/5 + 36 = 0.
5/6, 1, 9
Factor 2*k**3/3 - 46*k**2/3 + 310*k/3 - 650/3.
2*(k - 13)*(k - 5)**2/3
Solve -25*w**5 + 35*w**4 + 165*w**3 - 395*w**2 + 280*w - 60 = 0 for w.
-3, 2/5, 1, 2
Factor -4*t**2 + 436*t + 440.
-4*(t - 110)*(t + 1)
Find d such that -3*d**2/2 - 105*d/2 - 375 = 0.
-25, -10
Factor b**3/3 - 14*b**2/3 + 65*b/3 - 100/3.
(b - 5)**2*(b - 4)/3
Determine m, given that -3*m**4 + 51*m**3 + 111*m**2 + 57*m = 0.
-1, 0, 19
Determine z so that 5*z**5 + 15*z**4 + 5*z**3 - 15*z**2 - 10*z = 0.
-2, -1, 0, 1
Determine r, given that -36*r**5/11 + 14*r**4 - 126*r**3/11 - 54*r**2/11 + 50*r/11 + 12/11 = 0.
-1/2, -2/9, 1, 3
Suppose -9*o**2 + 7*o + 16 = 0. Calculate o.
-1, 16/9
Solve -6*z**5/5 - 28*z**4/5 + 2*z**3 = 0.
-5, 0, 1/3
Find a such that 2*a**5 + 28*a**4 - 2*a**3 - 28*a**2 = 0.
-14, -1, 0, 1
Factor 3*d**3/5 + 6*d**2/5 - 3*d/5 - 6/5.
3*(d - 1)*(d + 1)*(d + 2)/5
Factor z**3/3 - 2826*z**2 + 7986276*z - 7523071992.
(z - 2826)**3/3
Find t, given that t**4 + 366*t**3 - 735*t**2 + 368*t = 0.
-368, 0, 1
Factor 5*r**3 - 5*r.
5*r*(r - 1)*(r + 1)
Determine h so that -h**3 + 23*h**2 + 280*h + 256 = 0.
-8, -1, 32
Find q, given that 20*q**4 - 380*q**3 + 1805*q**2 - 1530*q + 360 = 0.
1/2, 6, 12
Suppose 6*l**5/11 - 24*l**4/11 - 192*l**3/11 + 444*l**2/11 + 186*l/11 - 420/11 = 0. Calculate l.
-5, -1, 1, 2, 7
Let -33*r**5/8 - 105*r**4/4 - 39*r**3/8 + 105*r**2/4 + 9*r = 0. What is r?
-6, -1, -4/11, 0, 1
Factor p**2/5 - 6*p/5 + 9/5.
(p - 3)**2/5
Suppose -r**3/4 - r**2/4 + 15*r - 27 = 0. Calculate r.
-9, 2, 6
Let 2*k