**2 = 0.
-3, 0, 2
Factor -2*r**4 + 50*r**3 + 292*r**2 + 240*r.
-2*r*(r - 30)*(r + 1)*(r + 4)
Suppose m**2/3 + 26*m/3 + 51 = 0. What is m?
-17, -9
Factor 27*h**2 - 765*h + 21675/4.
3*(6*h - 85)**2/4
Let -2*q**2/3 - 34*q + 108 = 0. Calculate q.
-54, 3
Factor o**4 - 14*o**3 - 39*o**2 + 616*o + 1936.
(o - 11)**2*(o + 4)**2
Let -h**2 + 104*h - 303 = 0. Calculate h.
3, 101
Solve 2*h**4 - 28*h**3 + 104*h**2 + 48*h - 576 = 0 for h.
-2, 4, 6
Determine v so that 27*v**5/7 - 183*v**4/7 + 201*v**3/7 + 243*v**2/7 - 228*v/7 - 60/7 = 0.
-1, -2/9, 1, 2, 5
Suppose -9*g**5 - 150*g**4 + 87*g**3 + 600*g**2 - 204*g = 0. Calculate g.
-17, -2, 0, 1/3, 2
Let -3*c**2/5 + 159*c - 3132/5 = 0. What is c?
4, 261
Factor m**3/7 - 12*m**2/7 - 61*m/7 - 48/7.
(m - 16)*(m + 1)*(m + 3)/7
Let 4*c**3 - 50388*c**2 + 211579212*c - 296140370396 = 0. Calculate c.
4199
Factor -y**2 + 112*y - 432.
-(y - 108)*(y - 4)
Factor n**5/4 - 3*n**4/4 - 3*n**3/2 + 5*n**2/2 + 21*n/4 + 9/4.
(n - 3)**2*(n + 1)**3/4
Suppose 8*o**4 + 36*o**3 - 72*o**2 + 4*o + 24 = 0. What is o?
-6, -1/2, 1
Factor 3*a**4/5 - 6*a**3/5 - 33*a**2/5 + 36*a/5.
3*a*(a - 4)*(a - 1)*(a + 3)/5
Factor -2*w**2 + 512*w - 2016.
-2*(w - 252)*(w - 4)
Suppose -g**5 + 24*g**4 - 35*g**3 - 200*g**2 + 36*g + 176 = 0. Calculate g.
-2, -1, 1, 4, 22
Solve -2*m**5/3 - 128*m**4 - 2269*m**3/6 - 59*m**2/2 + 1132*m/3 - 126 = 0 for m.
-189, -2, 1/2
Factor -a**5 + 38*a**4 + 79*a**3 + 40*a**2.
-a**2*(a - 40)*(a + 1)**2
Determine n, given that -n**4/2 + 63*n**3/2 - 480*n**2 - 512*n = 0.
-1, 0, 32
What is q in 27*q**4/5 + 234*q**3/5 + 579*q**2/5 + 312*q/5 + 48/5 = 0?
-4, -1/3
Solve -2*a**2/17 - 196*a/17 - 2624/17 = 0.
-82, -16
Determine s, given that 45*s**5 - 175*s**4 + 205*s**3 - 65*s**2 - 10*s = 0.
-1/9, 0, 1, 2
Solve 5*y**3 + 100*y**2 + 495*y = 0.
-11, -9, 0
Factor 18*g**2 - 30*g + 8.
2*(3*g - 4)*(3*g - 1)
Factor 4*y**3 + 848*y**2 - 1708*y + 856.
4*(y - 1)**2*(y + 214)
Factor z**3 - 49*z**2 + 48*z.
z*(z - 48)*(z - 1)
Determine d so that 9*d**5 - 24*d**4 - 54*d**3 + 12*d**2 + 45*d + 12 = 0.
-1, -1/3, 1, 4
Factor -2*q**4 + 22*q**3 - 4*q**2 - 184*q + 240.
-2*(q - 10)*(q - 2)**2*(q + 3)
Solve -3*a**4 - 63*a**3 - 405*a**2 - 729*a = 0.
-9, -3, 0
Find s such that -2*s**5/3 + 45*s**4/2 + 29*s**3 + 35*s**2/6 = 0.
-1, -1/4, 0, 35
Factor -f**4/4 - 2*f**3 + 43*f**2/4 - 29*f/2 + 6.
-(f - 2)*(f - 1)**2*(f + 12)/4
Factor -s**3/4 + s**2 - s/4 - 3/2.
-(s - 3)*(s - 2)*(s + 1)/4
Factor q**4 - 6*q**3 - 7*q**2.
q**2*(q - 7)*(q + 1)
Solve 2*a**4 + 6*a**3 - 32*a**2 + 24*a = 0 for a.
-6, 0, 1, 2
Find t, given that 2*t**4/11 - 70*t**3/11 + 750*t**2/11 - 2250*t/11 = 0.
0, 5, 15
What is b in -3*b**3 + 417*b**2 - 12921*b - 111909 = 0?
-7, 73
Suppose 7*w**2/2 + 75*w/2 - 11 = 0. Calculate w.
-11, 2/7
Factor 2*l**3/5 + 52*l**2/5 + 362*l/5 + 312/5.
2*(l + 1)*(l + 12)*(l + 13)/5
Suppose -2*q**4/9 + 2*q**3/9 + 4*q**2/9 = 0. What is q?
-1, 0, 2
Factor -g**4 - 38*g**3 + 39*g**2.
-g**2*(g - 1)*(g + 39)
Factor 10*b**3 - 955*b**2/2 - 985*b - 995/2.
5*(b + 1)**2*(4*b - 199)/2
Suppose -4*m**4 - 28*m**3 + 4*m**2 + 28*m = 0. What is m?
-7, -1, 0, 1
Suppose a**3/6 - 29*a**2/6 + 104*a/3 = 0. What is a?
0, 13, 16
Factor 2*c**4/3 - 868*c**3/3 + 94178*c**2/3.
2*c**2*(c - 217)**2/3
Factor -3*i**5 + 18060*i**4 - 43488480*i**3 + 52360129920*i**2 - 31520798211840*i + 7590208209411072.
-3*(i - 1204)**5
Determine r, given that 15*r**2/2 + 3519*r/2 - 705 = 0.
-235, 2/5
Determine a so that 5*a**3 - 55*a**2 - 400*a + 4500 = 0.
-9, 10
Determine k, given that k**4/4 - 107*k**3/2 + 10093*k**2/4 + 36273*k + 114921 = 0.
-6, 113
Determine i so that 2*i**5 - 38*i**4 + 190*i**3 - 10*i**2 - 792*i + 648 = 0.
-2, 1, 2, 9
Find x, given that -x**2/3 + 1115*x/3 - 1114/3 = 0.
1, 1114
Factor -3*m**4/5 - 276*m**3/5 - 6618*m**2/5 - 2484*m - 1215.
-3*(m + 1)**2*(m + 45)**2/5
Find m, given that 2*m**2/7 - 108*m/7 + 1458/7 = 0.
27
Factor -4*a**2 + 84*a.
-4*a*(a - 21)
Factor 5*r**3/3 + 712*r**2/3 + 2369*r/3 + 278.
(r + 3)*(r + 139)*(5*r + 2)/3
Factor -k**2/9 + 98*k/9 - 2401/9.
-(k - 49)**2/9
Determine b so that -2*b**2 - 10536*b - 13875912 = 0.
-2634
Determine d so that d**3/2 - 3*d**2 + 5*d/2 = 0.
0, 1, 5
Factor c**5/7 + 27*c**4/7 + 195*c**3/7 + 169*c**2/7.
c**2*(c + 1)*(c + 13)**2/7
Factor -a**4/6 + 2*a**3 - 5*a**2/3 - 2*a + 11/6.
-(a - 11)*(a - 1)**2*(a + 1)/6
Solve 117*a**3 + 942*a**2 - 3813*a - 198 = 0.
-11, -2/39, 3
Let -49*s**4/2 + 497*s**3/4 - 15*s**2/4 - 26*s + 5 = 0. Calculate s.
-1/2, 2/7, 5
Factor 2*p**3 - 8*p**2 - 14*p + 20.
2*(p - 5)*(p - 1)*(p + 2)
Let 5*o**2/4 - 6*o + 19/4 = 0. What is o?
1, 19/5
Let -l**3/4 - 5*l**2/4 + l/2 + 6 = 0. What is l?
-4, -3, 2
Factor -21*k**5 + 48*k**4 - 33*k**3 + 6*k**2.
-3*k**2*(k - 1)**2*(7*k - 2)
Determine t so that 54*t**5 + 228*t**4 + 100*t**3 - 320*t**2 - 74*t + 12 = 0.
-3, -2, -1/3, 1/9, 1
Determine g so that -5*g**5 - 50*g**4 + 425*g**3 - 850*g**2 + 480*g = 0.
-16, 0, 1, 2, 3
Let 5*d**3 - 45*d**2 + 55*d + 105 = 0. Calculate d.
-1, 3, 7
Suppose -1058*o**2/5 + 92*o/5 - 2/5 = 0. What is o?
1/23
Solve -7*g**5/9 + 26*g**4/9 - 5*g**3/3 - 28*g**2/9 + 20*g/9 = 0.
-1, 0, 5/7, 2
Find x such that 2*x**4/5 - 9*x**3/5 - 7*x**2/5 + 9*x/5 + 1 = 0.
-1, -1/2, 1, 5
Let -4*s**3 - 4*s**2 + 16*s + 16 = 0. Calculate s.
-2, -1, 2
Let -5*h**4 - 25*h**3 + 15*h**2 + 85*h + 50 = 0. Calculate h.
-5, -1, 2
Solve 7*p**5/3 + 32*p**4 + 140*p**3/3 - 16*p**2 = 0 for p.
-12, -2, 0, 2/7
Factor -5*f**5 + 35*f**4 + 90*f**3 + 10*f**2 - 85*f - 45.
-5*(f - 9)*(f - 1)*(f + 1)**3
Factor -2*a**2/19 + 484*a/19 - 482/19.
-2*(a - 241)*(a - 1)/19
Factor 2*p**3/3 - 14*p**2/3 + 32*p/3 - 8.
2*(p - 3)*(p - 2)**2/3
Find u such that -93*u**2/5 + 94*u/5 - 1/5 = 0.
1/93, 1
Factor 3*h**3/5 - h**2/5.
h**2*(3*h - 1)/5
Let -3*c**4 - 9*c**3 - 9*c**2 - 3*c = 0. What is c?
-1, 0
Factor -2*o**3/13 + 172*o**2/13 - 3864*o/13 + 7056/13.
-2*(o - 42)**2*(o - 2)/13
What is l in 7*l**2/2 + l = 0?
-2/7, 0
Suppose u**2 - 12*u - 13 = 0. What is u?
-1, 13
Factor -2*x**5/9 - 26*x**4/3 + 80*x**3/9.
-2*x**3*(x - 1)*(x + 40)/9
Factor 64*n**4/3 + 16*n**3/3 - 61*n**2 - 185*n/3 - 50/3.
(n - 2)*(n + 1)*(8*n + 5)**2/3
Factor -2*q**4/17 - 64*q**3/17 - 122*q**2/17 - 60*q/17.
-2*q*(q + 1)**2*(q + 30)/17
Let -6*m**2 - 14*m + 40 = 0. Calculate m.
-4, 5/3
Solve -5*p**3 - 1890*p**2 + 1895*p = 0.
-379, 0, 1
Suppose 4*i**3/3 + 14*i**2/9 - 2*i/3 = 0. Calculate i.
-3/2, 0, 1/3
Suppose 15*k**3 + 110*k**2 - 80*k = 0. Calculate k.
-8, 0, 2/3
Factor 2*q**2/7 + 56*q - 394/7.
2*(q - 1)*(q + 197)/7
Find i, given that i**5 - 8*i**4 + 17*i**3/4 + 83*i**2/4 - 33*i/4 - 63/4 = 0.
-1, 3/2, 7
Find z such that -3*z**2/2 + 1905*z/2 + 954 = 0.
-1, 636
Factor 5*u**2/4 + 305*u/2 - 615/4.
5*(u - 1)*(u + 123)/4
Determine c so that -22*c**3/3 - 30*c**2 + 4*c + 80/3 = 0.
-4, -1, 10/11
Suppose -6*p**5/11 + 14*p**4/11 + 38*p**3/11 + 10*p**2/11 - 8*p/11 = 0. What is p?
-1, 0, 1/3, 4
Factor -2*v**2/7 - 62*v/7 + 204/7.
-2*(v - 3)*(v + 34)/7
Factor -4*c**2 + 1268*c - 1264.
-4*(c - 316)*(c - 1)
Factor -2*z**3/7 - 46*z**2/7 + 156*z/7.
-2*z*(z - 3)*(z + 26)/7
Let f**2 - 24*f + 63 = 0. What is f?
3, 21
Factor s**2/3 - 13*s/3 + 4.
(s - 12)*(s - 1)/3
Let j**4/6 + 22*j**3/3 - 71*j**2/3 - 22*j/3 + 47/2 = 0. Calculate j.
-47, -1, 1, 3
What is f in -1510*f**4/3 + 3028*f**3/3 - 1526*f**2/3 + 8*f/3 = 0?
0, 4/755, 1
Factor -4*t**5 + 336*t**4 - 7384*t**3 + 13776*t**2 - 6724*t.
-4*t*(t - 41)**2*(t - 1)**2
Find z such that -64*z**3/7 - 254*z**2/7 - 248*z/7 + 8/7 = 0.
-2, 1/32
Let -2*g**2 - 20*g + 832 = 0. Calculate g.
-26, 16
Suppose -3*p**3 - 99*p**2 - 513*p - 729 = 0. Calculate p.
-27, -3
Factor -4*z**2 - 384*z - 380.
-4*(z + 1)*(z + 95)
Factor -4*r**3 - 60*r**2 - 224*r - 240.
-4*(r + 2)*(r + 3)*(r + 10)
Factor -5*h**3 + 120*h**2 - 505*h + 570.
-5*(h - 19)*(h - 3)*(h - 2)
Suppose -3*x**2 - 360*x - 1053 = 0. What is x?
-117, -3
Factor -15*b**2 + 282*b - 1287.
-3*(b - 11)*(5*b - 39)
Factor -2*v**3/13 - 18*v**2/13 - 48*v/13 - 32/13.
-2*(v + 1)*(v + 4)**2/13
Factor -15*u**3 - 396*u**2 - 1152*u + 21504.
-3*(u + 16)**2*(5*u - 28)
Solve 5*s**4/3 + 185*s**3 - 760*s**2 + 2300*s/3 = 0 for s.
-115, 0, 2
Let -2*u**3/9 - 14*u**2/3 + 200*u/9 = 0. Calculate u.
-25, 0, 4
Factor 7*r**5 + 72*r**4 + 188*r**3 + 202*r**2 + 93*r + 14.
(r + 1)**3*(r + 7)*(7*r + 2)
Factor 3385*m**4 - 6780*m**3 + 20*m**2.
5*m**2*(m - 2)*(677*m -