t s**5/5 + 24*s**4/5 + 4*s**3 - 14*s**2 - 21*s/5 + 46/5 = 0.
-23, -2, -1, 1
Let 2*r**4 - 180*r**3 + 3866*r**2 + 8280*r + 4232 = 0. What is r?
-1, 46
Find r, given that 3*r**4/7 + 1074*r**3/7 + 97191*r**2/7 + 191172*r/7 + 95052/7 = 0.
-178, -1
Factor 6*s**3 - 58*s**2 + 130*s + 50.
2*(s - 5)**2*(3*s + 1)
Suppose 3*g**2 + 1191*g - 6030 = 0. Calculate g.
-402, 5
Factor -2*f**2 - 42*f - 40.
-2*(f + 1)*(f + 20)
Determine p, given that -5*p**4/3 + 91*p**3/3 - 523*p**2/3 + 1001*p/3 - 60 = 0.
1/5, 4, 5, 9
Factor 576*p**2 - 240*p + 25.
(24*p - 5)**2
Let 2*k**4/5 - 18*k**3/5 + 26*k**2/5 + 18*k/5 - 28/5 = 0. Calculate k.
-1, 1, 2, 7
Factor -g**5 + 60*g**4 + 253*g**3 + 192*g**2.
-g**2*(g - 64)*(g + 1)*(g + 3)
Factor -f**4 - 168*f**3 - 10584*f**2 - 296352*f - 3111696.
-(f + 42)**4
Factor s**2/6 - 61*s/6 - 132.
(s - 72)*(s + 11)/6
Factor -5*o**4 - 70*o**3 - 175*o**2 + 250*o.
-5*o*(o - 1)*(o + 5)*(o + 10)
Suppose -6*r**5/7 - 34*r**4/7 - 2*r**3/7 + 114*r**2/7 + 128*r/7 + 40/7 = 0. What is r?
-5, -1, -2/3, 2
Find d such that -d**5/3 - 61*d**4 - 8462*d**3/3 - 8098*d**2/3 + 2821*d + 8281/3 = 0.
-91, -1, 1
Factor -4*d**2 - 48*d.
-4*d*(d + 12)
Let -2*r**5 + 15*r**4/2 + 46*r**3 + 3*r**2 - 44*r - 21/2 = 0. What is r?
-3, -1, -1/4, 1, 7
Factor -5*w**3/3 + 29*w**2/3 + 122*w/3 + 88/3.
-(w + 1)*(w + 2)*(5*w - 44)/3
Factor 2*s**4 + 103*s**3/2 + 37*s**2 - 25*s/2.
s*(s + 1)*(s + 25)*(4*s - 1)/2
Find l such that -2*l**4/5 - 724*l**3/5 - 66242*l**2/5 - 26064*l - 12960 = 0.
-180, -1
Let -v**5/2 + 15*v**4/2 - 67*v**3/2 + 129*v**2/2 - 56*v + 18 = 0. What is v?
1, 2, 9
Determine a so that -a**3/5 - 78*a**2/5 + 168*a/5 + 128 = 0.
-80, -2, 4
Suppose 2*u**2 - 18*u - 20 = 0. Calculate u.
-1, 10
Find w, given that -3*w**3 + 33*w**2 - 93*w + 63 = 0.
1, 3, 7
Solve -3*v**3 - 54*v**2 + 1533*v + 1584 = 0.
-33, -1, 16
Factor -3*p**3/5 + 12*p**2/5 + 36*p - 864/5.
-3*(p - 6)**2*(p + 8)/5
Find y, given that -84*y**2 + 16*y = 0.
0, 4/21
Determine p, given that 4*p**3 - 40*p**2 + 100*p = 0.
0, 5
Factor 4*z**5 - 72*z**3 - 128*z**2 - 60*z.
4*z*(z - 5)*(z + 1)**2*(z + 3)
Determine s so that 5929*s**5/5 + 24024*s**4/5 - 16551*s**3/5 - 21526*s**2 - 5556*s/5 - 72/5 = 0.
-3, -2/77, 2
Factor -5*h**4 - 490*h**3 - 17285*h**2 - 258720*h - 1393920.
-5*(h + 16)**2*(h + 33)**2
Factor 3*g**2 - 51*g + 90.
3*(g - 15)*(g - 2)
Let h**4 + 27*h**3 + 61*h**2 - 1683*h + 2890 = 0. What is h?
-17, 2, 5
Factor 4*f**3 + 376*f**2 - 2004*f - 2376.
4*(f - 6)*(f + 1)*(f + 99)
Suppose -n**3/4 + 75*n**2/4 - 1875*n/4 + 15625/4 = 0. Calculate n.
25
Find o such that 12*o**3 - 39*o**2 - 471*o + 120 = 0.
-5, 1/4, 8
Factor 3*w**3/7 - 771*w**2/7 + 49920*w/7 - 49152/7.
3*(w - 128)**2*(w - 1)/7
Factor t**3/4 + 17*t**2/4 + 4*t.
t*(t + 1)*(t + 16)/4
Factor -l**2/4 + 63*l/4 - 145/2.
-(l - 58)*(l - 5)/4
Let -2*x**3/19 - 20*x**2/19 + 46*x/19 - 24/19 = 0. What is x?
-12, 1
Solve d**5 - 4*d**4 - 107*d**3 + 334*d**2 - 4*d - 440 = 0 for d.
-10, -1, 2, 11
Find g such that -3*g**3/8 - 129*g**2/4 + 276*g - 564 = 0.
-94, 4
Factor -3*h**2 + 54*h - 51.
-3*(h - 17)*(h - 1)
Factor -4*y**4 + 20*y**3 - 8*y**2 - 80*y + 96.
-4*(y - 3)*(y - 2)**2*(y + 2)
Factor 2*u**2/3 - 1234*u/9 + 820/9.
2*(u - 205)*(3*u - 2)/9
Factor 2*p**5/3 + 458*p**4/3 + 26900*p**3/3 + 77972*p**2/3 + 77066*p/3 + 25538/3.
2*(p + 1)**3*(p + 113)**2/3
Find g such that -64*g**5/13 + 640*g**4/13 - 436*g**3/13 - 1266*g**2/13 + 18*g/13 + 324/13 = 0.
-3/4, 1/2, 2, 9
Determine n so that -n**3 - 998*n**2 - 1993*n - 996 = 0.
-996, -1
Let v**3/9 - 37*v**2/9 - 1046*v/9 - 112 = 0. What is v?
-18, -1, 56
Factor -3*z**2 - 327*z - 324.
-3*(z + 1)*(z + 108)
Factor 2*v**2/5 + 20*v + 192/5.
2*(v + 2)*(v + 48)/5
What is p in -p**4/11 + 14*p**3/11 - p**2 - 26*p/11 = 0?
-1, 0, 2, 13
Factor -3*j**5 - 18*j**4 - 36*j**3 - 30*j**2 - 9*j.
-3*j*(j + 1)**3*(j + 3)
Factor 32*m**2 - 68*m + 8.
4*(m - 2)*(8*m - 1)
Factor 4*t**3 + 28*t**2 + 64*t + 48.
4*(t + 2)**2*(t + 3)
Let s**5/2 - 3*s**4/2 - 4*s**3 + 12*s**2 + 8*s - 24 = 0. What is s?
-2, 2, 3
Find u such that 20*u**3 - 212*u**2 + 472*u + 224 = 0.
-2/5, 4, 7
Factor -14*s**3 + 78*s**2 - 76*s - 48.
-2*(s - 4)*(s - 2)*(7*s + 3)
Solve -s**4/4 - 2*s**3 - 21*s**2/4 - 11*s/2 - 2 = 0 for s.
-4, -2, -1
Factor -u**4 - 17*u**3 + 19*u**2 + 17*u - 18.
-(u - 1)**2*(u + 1)*(u + 18)
Factor 5*v**4 - 45*v**3 - 40*v**2 + 540*v + 800.
5*(v - 8)*(v - 5)*(v + 2)**2
Solve -a**5/4 + 87*a**4/4 + 22*a**3 = 0.
-1, 0, 88
Determine r so that -r**2 + 4*r - 4 = 0.
2
Let 2*y**5/11 + 102*y**4/11 + 388*y**3/11 + 52*y**2 + 378*y/11 + 94/11 = 0. Calculate y.
-47, -1
Solve -5*i**5 + 190*i**4 + 200*i**3 - 190*i**2 - 195*i = 0 for i.
-1, 0, 1, 39
Let 18*f**5 + 189*f**4 + 645*f**3 + 2725*f**2/3 + 1375*f/3 = 0. What is f?
-11/2, -5/3, 0
What is y in 5*y**4/9 + 3*y**3 + 40*y**2/9 + 4*y/3 = 0?
-3, -2, -2/5, 0
Solve 5*s**2 + 3120*s - 6260 = 0.
-626, 2
Determine o, given that 55*o**5 + 245*o**4 + 345*o**3 + 115*o**2 - 100*o - 60 = 0.
-2, -1, 6/11
Find z, given that 5*z**5 - 50*z**4 + 30*z**3 + 440*z**2 + 565*z + 210 = 0.
-1, 6, 7
Factor q**5 - 2*q**3 + q.
q*(q - 1)**2*(q + 1)**2
Solve 9*j**3 + 56*j**2 + 84*j + 16 = 0 for j.
-4, -2, -2/9
Factor -15*n**2 + 10*n + 5.
-5*(n - 1)*(3*n + 1)
Factor m**5/4 - 11*m**4/4 + 5*m**3/2.
m**3*(m - 10)*(m - 1)/4
Find n such that 3*n**3/5 + 3*n**2/5 - 6*n/5 = 0.
-2, 0, 1
Let -4*a**3 + 40*a**2 - 112*a + 96 = 0. Calculate a.
2, 6
Find w such that 2*w**2/11 + 10*w/11 - 72/11 = 0.
-9, 4
Solve 8*y**5 - 12*y**4 - 40*y**3 + 48*y**2 + 32*y = 0.
-2, -1/2, 0, 2
Find v, given that -2*v**3/7 - 8*v**2 + 58*v/7 = 0.
-29, 0, 1
Determine o so that -3*o**5/4 + 9*o**4/2 + 33*o**3/4 - 45*o**2 - 75*o = 0.
-2, 0, 5
Factor -m**3/5 - 7*m**2 - 288*m/5 + 324/5.
-(m - 1)*(m + 18)**2/5
Factor 2*m**4/15 + 16*m**3/15 + 14*m**2/15.
2*m**2*(m + 1)*(m + 7)/15
Factor 18*c**4 + 184*c**3 + 480*c**2 - 384*c - 2048.
2*(c + 4)**3*(9*c - 16)
Factor -5*g**3 + 50*g**2 - 160*g + 160.
-5*(g - 4)**2*(g - 2)
Determine a, given that a**2/6 - 253*a/2 = 0.
0, 759
Solve 2*b**4/7 + 158*b**3/7 + 604*b**2 + 5824*b + 9408 = 0.
-28, -21, -2
Factor -9*o**2/2 - 25*o/2 - 8.
-(o + 1)*(9*o + 16)/2
Factor 2*n**4/7 - 12*n**3/7 + 22*n**2/7 - 12*n/7.
2*n*(n - 3)*(n - 2)*(n - 1)/7
Factor 4*y**2/5 + 54048*y/5 + 182574144/5.
4*(y + 6756)**2/5
Factor -44*s**3 - 160*s**2 - 68*s + 48.
-4*(s + 1)*(s + 3)*(11*s - 4)
Let -5*o**5 - 60*o**4 - 140*o**3 - 30*o**2 + 145*o + 90 = 0. What is o?
-9, -2, -1, 1
Find n, given that -2*n**4/9 - 376*n**3/9 + 256*n**2 - 4640*n/9 + 3104/9 = 0.
-194, 2
Suppose -3*f**2/5 + 28566*f/5 - 68001363/5 = 0. What is f?
4761
Let -5*l**3 + 180*l**2 - 2145*l + 8450 = 0. What is l?
10, 13
Factor m**2/8 + 15*m/8 - 23.
(m - 8)*(m + 23)/8
Factor n**2/4 + n/2 - 6.
(n - 4)*(n + 6)/4
Let -2*y**3/3 - 428*y**2/3 + 862*y/3 - 144 = 0. What is y?
-216, 1
Factor -2*c**2/5 + 1238*c/5.
-2*c*(c - 619)/5
Let 3*b**4/7 + 30*b**3/7 - 36*b**2/7 - 30*b/7 + 33/7 = 0. Calculate b.
-11, -1, 1
Let 5*h**5 - 25*h**4 + 40*h**3 - 20*h**2 = 0. Calculate h.
0, 1, 2
Determine t, given that -2*t**2/5 + 2*t/5 + 24/5 = 0.
-3, 4
Suppose -4*j**2 - 836*j - 1656 = 0. Calculate j.
-207, -2
Factor 5*p**5 - 5*p**4 - 30*p**3.
5*p**3*(p - 3)*(p + 2)
Solve -4*p**4 + 68*p**3 - 320*p**2 + 256*p = 0.
0, 1, 8
Solve g**2 - 4762*g + 5669161 = 0 for g.
2381
Determine h, given that 82*h**5 - 250*h**4 - 152*h**3 + 992*h**2 - 704*h + 32 = 0.
-2, 2/41, 1, 2
Suppose -v**3/5 + 17*v**2/5 - 16*v + 64/5 = 0. What is v?
1, 8
Factor r**3/3 - 2*r**2/3 - r/3 + 2/3.
(r - 2)*(r - 1)*(r + 1)/3
Determine u so that -4*u**4/5 - 16*u**3 + 384*u**2/5 = 0.
-24, 0, 4
Solve -7*g**3/4 + 9*g**2/4 - g/2 = 0 for g.
0, 2/7, 1
Let -98*c**5/13 + 252*c**4/13 - 218*c**3/13 + 72*c**2/13 - 8*c/13 = 0. What is c?
0, 2/7, 1
Suppose r**3/5 + 5*r**2 - r/5 - 5 = 0. Calculate r.
-25, -1, 1
Suppose -4*u**4 - 16*u**3 + 44*u**2 + 264*u + 288 = 0. What is u?
-3, -2, 4
Factor i**5/8 - 3*i**4/8 - i**3/4 + 3*i**2/2 - i.
i*(i - 2)**2*(i - 1)*(i + 2)/8
Solve -m**2 + 160*m - 159 = 0 for m.
1, 159
Factor 5*h**3 - 4575*h**2 + 1395375*h - 141863125.
5*(h - 305)**3
Factor 12*x**3 - 4*x**2 - 12*x + 4.
4*(x - 1)*(x + 1)*(3*x - 1)
Solve n**2/3 - 3368*n/3 + 2835856/3 = 0.
1684
What is r in -5*r**5 - 120*r**4 - 945*r**3 - 2770*r**2 - 2640*r = 0?
-11, -8, -3, -2, 0
What is a in -23*a**2/3 + 3*a = 0?
0, 9/23
Let v**2/2 + 790*v + 1579/