Find p such that 2*p**3/21 - 2*p**2/7 + 8/21 = 0.
-1, 2
Factor j**3/7 + 642*j**2/7 + 137388*j/7 + 9800344/7.
(j + 214)**3/7
Suppose w**2 + 8*w + 16 = 0. Calculate w.
-4
Determine s, given that -s**2 - 6*s - 8 = 0.
-4, -2
Suppose 4*l**2/5 + 52*l + 256/5 = 0. What is l?
-64, -1
Factor -m**4 + 23*m**3 + m**2 - 23*m.
-m*(m - 23)*(m - 1)*(m + 1)
Suppose 5*q**5 - 15*q**4 - 15*q**3 + 55*q**2 - 30*q = 0. Calculate q.
-2, 0, 1, 3
Determine m, given that -2*m**5 + 64*m**4 - 120*m**3 - 4*m**2 + 122*m - 60 = 0.
-1, 1, 30
Determine n so that 2*n**2/5 + 128*n/5 + 126/5 = 0.
-63, -1
Let -3*u**3/2 - 54*u**2 - 486*u = 0. Calculate u.
-18, 0
Factor 474*m**2 + 2367*m - 15.
3*(m + 5)*(158*m - 1)
Factor 8*h**3 - 146*h**2 + 172*h - 34.
2*(h - 17)*(h - 1)*(4*h - 1)
Suppose -2*n**3/3 + 218*n**2/3 - 212*n = 0. Calculate n.
0, 3, 106
Find o, given that -o**2/2 - 439*o/2 + 220 = 0.
-440, 1
Factor -2*m**4/3 - 4*m**3/3 + 4*m/3 + 2/3.
-2*(m - 1)*(m + 1)**3/3
Factor -2*l**3 + 14*l**2 - 20*l.
-2*l*(l - 5)*(l - 2)
Factor -125*j**2 + 65*j.
-5*j*(25*j - 13)
Determine w so that 3*w**3 - 99*w**2 + 360*w - 348 = 0.
2, 29
Solve -i**2/2 + 37*i - 213/2 = 0 for i.
3, 71
Find y, given that -5*y**3 - 15*y**2 + 30*y + 40 = 0.
-4, -1, 2
Factor -4*z**4/7 - 5036*z**3/7 - 15084*z**2/7 - 15076*z/7 - 5024/7.
-4*(z + 1)**3*(z + 1256)/7
Suppose -2*o**2 + 1268*o - 2528 = 0. What is o?
2, 632
Determine t so that t**3/3 - 55*t**2/3 + 261*t - 243 = 0.
1, 27
Factor n**4 + 21*n**3 + 118*n**2 + 60*n - 200.
(n - 1)*(n + 2)*(n + 10)**2
Solve -9*u**3 - 15*u**2 + 264*u + 180 = 0 for u.
-6, -2/3, 5
Factor -2*w**5/9 - 14*w**4/9 - 10*w**3/3 - 26*w**2/9 - 8*w/9.
-2*w*(w + 1)**3*(w + 4)/9
Suppose -4*d**2/7 - 548*d/7 + 1208 = 0. Calculate d.
-151, 14
Solve 5*g**3 - 3315*g**2 - 5*g + 3315 = 0.
-1, 1, 663
Factor g**5 - 14*g**4/5 + 12*g**3/5 - 2*g**2/5 - g/5.
g*(g - 1)**3*(5*g + 1)/5
Factor x**4/6 - x**3 + 5*x**2/6.
x**2*(x - 5)*(x - 1)/6
Suppose a**3/6 + 179*a**2/6 + 352*a/3 + 350/3 = 0. Calculate a.
-175, -2
Suppose s**5 + 11*s**4 - 37*s**3 - 131*s**2 + 192*s + 468 = 0. What is s?
-13, -2, 3
Factor -f**5/3 + 5*f**4/3 + 2*f**3 - 38*f**2/3 + 43*f/3 - 5.
-(f - 5)*(f - 1)**3*(f + 3)/3
Factor -k**5 + 4*k**3 + 2*k**2 - 3*k - 2.
-(k - 2)*(k - 1)*(k + 1)**3
Determine h so that -2*h**3 - 86*h**2 - 320*h - 312 = 0.
-39, -2
Factor w**2/5 + 192*w/5 + 9216/5.
(w + 96)**2/5
Factor -4*n**5 - 164*n**4 + 516*n**3 - 524*n**2 + 176*n.
-4*n*(n - 1)**3*(n + 44)
What is v in 200*v**3/11 - 4480*v**2/11 - 2742*v/11 - 414/11 = 0?
-3/10, 23
Factor 2*h**4/7 - 6*h**3/7 - 12*h**2/7 + 16*h/7.
2*h*(h - 4)*(h - 1)*(h + 2)/7
Let -5*q**4 + 25*q**3 - 45*q**2 + 35*q - 10 = 0. What is q?
1, 2
Factor 2*j**4 + 12*j**3 + 8*j**2 - 12*j - 10.
2*(j - 1)*(j + 1)**2*(j + 5)
Factor -5*d**4 - 5*d**3 + 110*d**2 + 200*d.
-5*d*(d - 5)*(d + 2)*(d + 4)
Factor g**2/7 + 10440*g/7 + 27248400/7.
(g + 5220)**2/7
Factor -578*y**2/9 - 1496*y/9 - 968/9.
-2*(17*y + 22)**2/9
Factor -4*y**5 + 140*y**4 - 1420*y**3 + 3460*y**2 - 3200*y + 1024.
-4*(y - 16)**2*(y - 1)**3
Suppose 4*v**3/7 + 128*v**2/7 - 1068*v/7 + 936/7 = 0. What is v?
-39, 1, 6
Determine l so that -2*l**5/15 + 6*l**4/5 + 86*l**3/15 - 46*l**2/5 - 132*l/5 + 144/5 = 0.
-3, 1, 2, 12
Suppose 2*g**4/9 - 82*g**3/9 - 446*g**2/9 - 638*g/9 - 92/3 = 0. What is g?
-3, -1, 46
Let -3*g**2 + 54*g + 57 = 0. Calculate g.
-1, 19
Factor -2*u**2/3 + 1148*u - 494214.
-2*(u - 861)**2/3
Factor 3*o**3 + 147*o**2 - 306*o.
3*o*(o - 2)*(o + 51)
Let h**5/2 + h**4/2 - 51*h**3/2 + 171*h**2/2 - 81*h = 0. What is h?
-9, 0, 2, 3
Solve 88*x**2/19 - 90*x/19 + 2/19 = 0.
1/44, 1
Factor -2*b**4 - 546*b**3 + 2*b**2 + 546*b.
-2*b*(b - 1)*(b + 1)*(b + 273)
Determine q so that -q**3/4 - 11*q**2/4 - 39*q/4 - 45/4 = 0.
-5, -3
What is r in -r**5/4 + r**4/4 + 33*r**3/2 - 9*r**2 - 270*r = 0?
-6, -5, 0, 6
Solve 3*g**5 + 687*g**4 + 38955*g**3 - 46599*g**2 - 402270*g - 317400 = 0.
-115, -2, -1, 4
Factor b**3/3 - 116*b**2/3 + 292*b - 432.
(b - 108)*(b - 6)*(b - 2)/3
Factor 3*i**5 - 26430*i**4 + 93139320*i**3 - 164111481840*i**2 + 144582215501040*i - 50950772742566496.
3*(i - 1762)**5
Let 5*v**3 + 55*v**2 - 200*v + 140 = 0. What is v?
-14, 1, 2
Solve -84*n**4 - 5295*n**3 + 10674*n**2 - 3345*n - 1950 = 0.
-65, -2/7, 1, 5/4
Factor -i**2 - 118*i - 232.
-(i + 2)*(i + 116)
Factor 7*r**5/3 - r**4.
r**4*(7*r - 3)/3
Determine z, given that 2*z**5/21 + 52*z**4/21 - 22*z**3/21 - 1560*z**2/7 + 5400*z/7 = 0.
-18, 0, 5
Let -3*f**2/7 - 57*f/7 + 18 = 0. What is f?
-21, 2
Find r such that -3*r**5 - 72*r**4 - 498*r**3 - 792*r**2 - 363*r = 0.
-11, -1, 0
Factor 320*h**3 + 308*h**2 - 652*h + 24.
4*(h - 1)*(h + 2)*(80*h - 3)
Factor -f**3 - 1924*f**2 - 923517*f + 1854738.
-(f - 2)*(f + 963)**2
What is b in -b**5 + 272*b**4 - 18496*b**3 = 0?
0, 136
Suppose -2*q**2/5 - 4*q + 238/5 = 0. Calculate q.
-17, 7
Determine u so that 3*u**3 - 303*u**2 + 300*u = 0.
0, 1, 100
Let -2*d**3/5 + 6*d**2 + 576*d/5 + 1944/5 = 0. Calculate d.
-6, 27
Solve -21*k**4/4 + 363*k**3/4 + 2607*k**2/4 + 3573*k/4 - 621/2 = 0 for k.
-3, 2/7, 23
Factor w**4 + 81*w**3 + 159*w**2 + 79*w.
w*(w + 1)**2*(w + 79)
Factor 2*s**2/7 + 74*s/7 - 76/7.
2*(s - 1)*(s + 38)/7
Find t such that -25*t**4 + 140*t**3 - 225*t**2 + 90*t = 0.
0, 3/5, 2, 3
Factor 2*r**3/7 + 192*r**2/7 + 190*r/7.
2*r*(r + 1)*(r + 95)/7
Find g, given that 7*g**5/4 + 351*g**4/2 + 8493*g**3/2 - 7726*g**2 + 8007*g/4 + 2601/2 = 0.
-51, -2/7, 1
Solve -4*d**2 + 328*d - 6724 = 0 for d.
41
Find y, given that 27*y**3 - 1476*y**2 - 2004*y - 672 = 0.
-2/3, 56
Let -9800*x**2 + 840*x - 18 = 0. What is x?
3/70
Factor 2*y**4 - 48*y**3 + 30*y**2 + 392*y - 552.
2*(y - 23)*(y - 2)**2*(y + 3)
Find b, given that -5*b**5/2 + 13*b**4/2 - b**3/2 - 13*b**2/2 + 3*b = 0.
-1, 0, 3/5, 1, 2
Factor -w**2 - 320*w - 319.
-(w + 1)*(w + 319)
Determine z, given that -z**2 - 3154*z - 2486929 = 0.
-1577
Solve -2*o**4 - 378*o**3 - 16866*o**2 + 96418*o + 112908 = 0.
-97, -1, 6
Factor -2*p**4 + 8*p**3 - 6*p**2 - 8*p + 8.
-2*(p - 2)**2*(p - 1)*(p + 1)
Let 2*l**3/11 + 942*l**2/11 + 147894*l/11 + 7739786/11 = 0. Calculate l.
-157
Suppose -5*h**2 - 220*h = 0. Calculate h.
-44, 0
Determine j so that -2*j**4 + 218*j**3 + 2624*j**2 + 1960*j - 4800 = 0.
-10, -2, 1, 120
Solve 4*i**2 + 52*i + 88 = 0.
-11, -2
Find p, given that -3*p**4/8 + 315*p**3/8 - 8109*p**2/8 - 8427*p/8 = 0.
-1, 0, 53
Factor 3*n**3/7 + 5*n**2/7 - 34*n/7 - 24/7.
(n - 3)*(n + 4)*(3*n + 2)/7
Let 32*k**5 + 1552*k**4 + 2226*k**3 - 1406*k**2 + 188*k = 0. What is k?
-47, -2, 0, 1/4
Factor 2*n**3 + 116*n**2 - 238*n + 120.
2*(n - 1)**2*(n + 60)
Factor -u**3/5 - 4*u**2 + 348*u/5 - 1152/5.
-(u - 6)**2*(u + 32)/5
Determine o so that o**5/3 - 19*o**4/3 - 14*o**3 - 2*o**2/3 + 41*o/3 + 7 = 0.
-1, 1, 21
Let y**3/8 + 39*y**2/4 + 180*y - 400 = 0. Calculate y.
-40, 2
Factor f**2/2 + 22*f + 43/2.
(f + 1)*(f + 43)/2
Factor 2*g**5 + 6*g**4 - 4*g**3 - 24*g**2 - 16*g.
2*g*(g - 2)*(g + 1)*(g + 2)**2
Factor -7*f**4/8 - 303*f**3/8 - 43*f**2/4.
-f**2*(f + 43)*(7*f + 2)/8
Factor -a**4 + 12*a**3 + 118*a**2 + 276*a + 171.
-(a - 19)*(a + 1)*(a + 3)**2
Suppose -10*b**5/7 - 58*b**4 + 194*b**3/7 + 1198*b**2/7 - 1304*b/7 + 328/7 = 0. Calculate b.
-41, -2, 2/5, 1
Determine a so that a**5/6 + 3*a**4/2 - 11*a**3/6 - 3*a**2/2 + 5*a/3 = 0.
-10, -1, 0, 1
Factor 2*i**4 + 130*i**3 + 2478*i**2 + 10846*i - 13456.
2*(i - 1)*(i + 8)*(i + 29)**2
Factor 6*z**2/11 + 2494*z/11 + 1660/11.
2*(z + 415)*(3*z + 2)/11
Solve 6*h**4/11 + 2*h**3 + 6*h**2/11 - 2*h - 12/11 = 0.
-3, -1, -2/3, 1
Factor -5*d**3 - 40*d**2 - 25*d + 70.
-5*(d - 1)*(d + 2)*(d + 7)
Let -5*q**5 + 30*q**4 - 50*q**3 + 55*q - 30 = 0. Calculate q.
-1, 1, 2, 3
Let 40*i**3 + 79404*i**2 - 71488*i + 15888 = 0. Calculate i.
-1986, 2/5, 1/2
Factor -3*v**3/7 - 1854*v**2/7 - 3699*v/7 - 264.
-3*(v + 1)**2*(v + 616)/7
Let -l**2 + 6906*l - 11923209 = 0. What is l?
3453
Suppose -x**3 + 88*x**2 + 179*x + 90 = 0. Calculate x.
-1, 90
Determine n so that -n**4 + 41*n**3/5 + 41*n**2/5 - 41*n/5 - 36/5 = 0.
-1, -4/5, 1, 9
Find w such that w**2 - 1694*w = 0.
0, 1694
Solve -7*y**5 + 64*y**4 - 162*y**3 + 56*y**2 + 169*y - 120 = 0.
-1, 1, 8/7, 3, 5
What is c in 7*c**4/5 + 47*c**3/5 - 224*c**2/5 + 12*c = 0?
-10, 0, 2/7, 3
Factor f**3 - 677*f**2 + 674*f + 1352.
(f - 676)*(f - 2)*(f + 1)
Determine q so that q**4 - 5*q**3/4 + q**2/4 = 0.
0, 1/4, 1
Sup