 -2
Factor 5*p**3 - 65*p**2 - 650*p + 1520.
5*(p - 19)*(p - 2)*(p + 8)
Factor 3*g**4/7 - 15*g**3/7 - 3*g**2/7 + 51*g/7 + 36/7.
3*(g - 4)*(g - 3)*(g + 1)**2/7
Suppose 2*s**4/9 + 4*s**3/9 - 4*s/9 - 2/9 = 0. What is s?
-1, 1
Factor n**2/4 + 223*n/4 - 56.
(n - 1)*(n + 224)/4
Factor 2*j**4 + 62*j**3 + 368*j**2 + 792*j + 576.
2*(j + 2)**2*(j + 3)*(j + 24)
Let -3*b**4 + 138*b**3 - 1707*b**2 + 2508*b + 4356 = 0. Calculate b.
-1, 3, 22
Factor -4*b**3/3 - 44*b**2/3 + 696*b.
-4*b*(b - 18)*(b + 29)/3
Suppose 25*y**5/3 + 565*y**4 - 361*y**3/3 - 473*y**2 + 204*y = 0. What is y?
-68, -1, 0, 3/5
Factor -2*m**3/3 - 26*m**2/3 + 40*m/3 + 56.
-2*(m - 3)*(m + 2)*(m + 14)/3
Suppose -n**5/2 - 29*n**4/2 - 13*n**3 + 28*n**2 = 0. Calculate n.
-28, -2, 0, 1
Factor h**3/3 - 26*h**2/3 - h/3 + 26/3.
(h - 26)*(h - 1)*(h + 1)/3
Solve 2*h**2/13 - 32*h/13 + 30/13 = 0.
1, 15
Factor -3*k**2/8 + 423*k/8 - 105/2.
-3*(k - 140)*(k - 1)/8
Factor 2*b**4/17 + 4*b**3/17 - 22*b**2/17 - 24*b/17.
2*b*(b - 3)*(b + 1)*(b + 4)/17
Factor 8*b**2/17 + 130*b/17 + 32/17.
2*(b + 16)*(4*b + 1)/17
Factor 65*z**4 + 150*z**3 + 105*z**2 + 20*z.
5*z*(z + 1)**2*(13*z + 4)
Factor 2*y**4/17 + 36*y**3 + 49202*y**2/17 + 21456*y + 710432/17.
2*(y + 4)**2*(y + 149)**2/17
Suppose -s**3/7 - 47*s**2/7 + s/7 + 47/7 = 0. Calculate s.
-47, -1, 1
What is g in 3*g**2 + 2673*g = 0?
-891, 0
Find r, given that r**2/2 + 3*r + 9/2 = 0.
-3
Find q such that -2*q**3/11 + 112*q**2/11 = 0.
0, 56
Solve -5*x**4 + 29280*x**3 - 64298880*x**2 + 62755706880*x - 22968588718080 = 0 for x.
1464
Factor -3*l**3 + 153*l**2 + 327*l - 477.
-3*(l - 53)*(l - 1)*(l + 3)
Let -h**5/6 + h**4/6 + 2*h**3/3 - 2*h**2/3 = 0. Calculate h.
-2, 0, 1, 2
Suppose 2*w**5/3 + 6*w**4 + 18*w**3 + 62*w**2/3 + 8*w = 0. What is w?
-4, -3, -1, 0
Factor q**3 - q**2 - 8*q + 12.
(q - 2)**2*(q + 3)
Factor -h**2/2 + 349*h - 121801/2.
-(h - 349)**2/2
Factor 3*g**3 - 7455*g**2 + 14901*g - 7449.
3*(g - 2483)*(g - 1)**2
Find i, given that -2*i**3/7 + 172*i**2 - 25886*i = 0.
0, 301
Determine g, given that 15*g**5 + 87*g**4 + 162*g**3 + 114*g**2 + 15*g - 9 = 0.
-3, -1, 1/5
Find y such that -14*y**3/11 - 1622*y**2/11 + 3536*y/11 - 472/11 = 0.
-118, 1/7, 2
Find t, given that -3*t**2 - 16356*t - 22293228 = 0.
-2726
Factor -106276*d**2 - 2608*d - 16.
-4*(163*d + 2)**2
Let -d**2/6 - 9*d/2 - 12 = 0. Calculate d.
-24, -3
Factor d**5/3 + 5*d**4/3 - 6*d**3 - 24*d**2.
d**2*(d - 4)*(d + 3)*(d + 6)/3
Factor -j**5 + 6*j**4 + 43*j**3 - 300*j**2 + 252*j.
-j*(j - 6)**2*(j - 1)*(j + 7)
Factor -2*r**2 + 12*r - 18.
-2*(r - 3)**2
Solve -2*z**3/7 + 13*z**2/7 - 6*z/7 = 0 for z.
0, 1/2, 6
Find i such that 4*i**3 + 156*i**2 - 504*i = 0.
-42, 0, 3
Factor -5*j**3 + 40*j**2 - 95*j + 60.
-5*(j - 4)*(j - 3)*(j - 1)
Factor -3*n**2/7 - 228*n - 30324.
-3*(n + 266)**2/7
Factor 9*y**3 + 304*y**2 + 2533*y - 578.
(y + 17)**2*(9*y - 2)
Determine v, given that v**2 - 3361*v + 3360 = 0.
1, 3360
Factor -3*w**2/4 - 57*w/2 + 126.
-3*(w - 4)*(w + 42)/4
Suppose -2*f**2 - 378*f + 764 = 0. Calculate f.
-191, 2
Determine b, given that 4*b**4 - 172*b**3 + 2084*b**2 - 5108*b + 3192 = 0.
1, 2, 19, 21
Factor -2*c**5/19 - 10*c**4/19 + 60*c**3/19 - 100*c**2/19 + 70*c/19 - 18/19.
-2*(c - 1)**4*(c + 9)/19
Factor 3*c**4/5 + 87*c**3/5 + 891*c**2/5 + 729*c + 4374/5.
3*(c + 2)*(c + 9)**3/5
Let -2*o**5 - 22*o**4 - 74*o**3 - 90*o**2 - 36*o = 0. Calculate o.
-6, -3, -1, 0
Find z such that -3*z**2 - 60*z - 108 = 0.
-18, -2
Factor j**3/4 - 3*j**2 - 27*j/4 - 7/2.
(j - 14)*(j + 1)**2/4
Factor -q**3/7 + 31*q**2/7 + 66*q/7.
-q*(q - 33)*(q + 2)/7
Solve -n**2/7 - 11*n/7 - 24/7 = 0.
-8, -3
Let 2*j**5/11 + 30*j**4/11 - 1868*j**3/11 + 21276*j**2/11 - 82134*j/11 + 62694/11 = 0. What is j?
-43, 1, 9
Factor -m**5/5 - 9*m**4/5 - 3*m**3 + 5*m**2.
-m**2*(m - 1)*(m + 5)**2/5
Let -3*l**5/5 + 7*l**4 - 21*l**3/5 - 11*l**2/5 = 0. What is l?
-1/3, 0, 1, 11
Factor 6*d**3/5 - 106*d**2/5 + 276*d/5 - 176/5.
2*(d - 2)*(d - 1)*(3*d - 44)/5
Solve 3*i**5/7 - 33*i**4/7 - 81*i**3/7 + 33*i**2/7 + 78*i/7 = 0 for i.
-2, -1, 0, 1, 13
Find d, given that 8*d**4/5 + 9*d**3/5 - 39*d**2/5 + 19*d/5 + 3/5 = 0.
-3, -1/8, 1
Determine s, given that 147*s**5 - 2919*s**4 + 9771*s**3 - 11517*s**2 + 5382*s - 864 = 0.
3/7, 1, 2, 16
Factor 5*q**2 - 320*q + 3675.
5*(q - 49)*(q - 15)
Factor -5*j**3 + 35*j - 30.
-5*(j - 2)*(j - 1)*(j + 3)
Factor -405*p**3 + 33840*p**2 + 15100*p + 1680.
-5*(p - 84)*(9*p + 2)**2
Solve 3*t**2 - 6*t = 0 for t.
0, 2
Suppose g**4/7 + 16*g**3/7 + 4*g**2 = 0. What is g?
-14, -2, 0
Suppose -l**4/3 - 35*l**3/3 - 400*l**2/3 - 500*l = 0. What is l?
-15, -10, 0
What is b in -4*b**3 - 868*b**2 - 47520*b - 46656 = 0?
-108, -1
Let -b**5 - 70*b**4 - 951*b**3 + 11506*b**2 + 55708*b + 43320 = 0. What is b?
-38, -3, -1, 10
Solve -2*y**4/11 - 18*y**3/11 - 38*y**2/11 + 18*y/11 + 40/11 = 0.
-5, -4, -1, 1
Solve j**2 + 170*j + 7225 = 0.
-85
Suppose 3*g**3 + 3270*g**2 - 6549*g + 3276 = 0. What is g?
-1092, 1
Find c, given that -5*c**5 + 105*c**4 - 735*c**3 + 1795*c**2 - 240*c - 2880 = 0.
-1, 3, 8
Factor -2*r**2 + 10*r/3 + 4/3.
-2*(r - 2)*(3*r + 1)/3
Let 2*h**3/3 - 10*h**2/3 + 8*h/3 = 0. Calculate h.
0, 1, 4
Factor -2*o**5/7 - 300*o**4/7 - 12930*o**3/7 - 127640*o**2/7 - 474720*o/7 - 609408/7.
-2*(o + 4)**3*(o + 69)**2/7
Factor 3*h**4 - 15*h**3.
3*h**3*(h - 5)
Factor -2*l**3/15 + 78*l**2/5 - 3034*l/5 + 117734/15.
-2*(l - 43)*(l - 37)**2/15
Determine z, given that -3*z**3 + 444*z**2 - 879*z + 438 = 0.
1, 146
Let -v**2/3 + 19*v/3 + 110 = 0. Calculate v.
-11, 30
Let -r**4/5 - 12*r**3/5 - 51*r**2/5 - 88*r/5 - 48/5 = 0. Calculate r.
-4, -3, -1
Factor 5*s**5 + 80*s**4 + 230*s**3 - 720*s**2 + 405*s.
5*s*(s - 1)**2*(s + 9)**2
Factor -4*u**2 - 52*u - 120.
-4*(u + 3)*(u + 10)
Factor 275*n**3/2 + 61*n**2/2 + n.
n*(11*n + 2)*(25*n + 1)/2
Find b, given that -2*b**5/11 + 1470*b**4/11 + 2946*b**3/11 + 134*b**2 = 0.
-1, 0, 737
Find x such that 3*x**4 + 18*x**3 - 24*x**2 - 18*x + 21 = 0.
-7, -1, 1
Factor w**5/3 - 2*w**3 + 8*w**2/3 - w.
w*(w - 1)**3*(w + 3)/3
Factor -2*z**3 + 1320*z**2 - 217800*z.
-2*z*(z - 330)**2
Solve 3*c**4 - 30*c**3 + 69*c**2 - 42*c = 0.
0, 1, 2, 7
Factor -a**3/5 - 28*a**2/5 + 31*a/5 + 58/5.
-(a - 2)*(a + 1)*(a + 29)/5
Determine t so that -54*t**5/5 - 162*t**4/5 + 54*t**3/5 + 602*t**2/5 + 128*t + 40 = 0.
-5/3, -1, -2/3, 2
Solve 3*i**5 - 21*i**4 + 204*i**2 - 96*i - 576 = 0 for i.
-2, 3, 4
Suppose 2*y**4 + 5734*y**3/3 + 1368988*y**2/3 - 460792*y/3 - 913936/3 = 0. What is y?
-478, -2/3, 1
Factor 2*n**5 - 8*n**4 - 10*n**3.
2*n**3*(n - 5)*(n + 1)
What is b in -2*b**5/11 + 158*b**4/11 - 4604*b**3/11 + 59524*b**2/11 - 322690*b/11 + 608350/11 = 0?
5, 23
Factor -2*s**2/7 + 34*s/7 - 12.
-2*(s - 14)*(s - 3)/7
Factor -27*z**3 - 357*z**2 + 1218*z + 288.
-3*(z - 3)*(z + 16)*(9*z + 2)
Let 128*m**4 - 404*m**3 + 274*m**2 + 86*m - 84 = 0. What is m?
-1/2, 21/32, 1, 2
Factor 2*v**3 + 414*v**2 + 24192*v + 276480.
2*(v + 15)*(v + 96)**2
Suppose 5*u**2 - 2755*u + 2750 = 0. What is u?
1, 550
Factor -2*v**2/3 + 2*v/3 + 4.
-2*(v - 3)*(v + 2)/3
Factor k**4/2 - 62*k**3 + 360*k**2 - 712*k + 472.
(k - 118)*(k - 2)**3/2
Solve 2*k**5 + 454*k**4 = 0.
-227, 0
Solve -2*d**4/11 - 8*d**3/11 + 2*d**2 - 12*d/11 = 0.
-6, 0, 1
Factor 3*d**2 - 87*d + 462.
3*(d - 22)*(d - 7)
Factor -1875*k**3/2 + 2025*k**2/2 - 153*k/2 + 3/2.
-3*(k - 1)*(25*k - 1)**2/2
Solve -3*z**2 + 3*z = 0.
0, 1
Find s, given that -s**3/6 + 10*s**2/3 - 16*s = 0.
0, 8, 12
Factor o**2 - 2560*o + 2559.
(o - 2559)*(o - 1)
What is d in -882*d**3 + 2478*d**2 + 496*d + 24 = 0?
-2/21, 3
Factor 20*c**3 - 5*c**2 - 220*c + 300.
5*(c - 2)**2*(4*c + 15)
Solve 2*s**4 - 722*s**3 + 2152*s**2 - 1432*s = 0.
0, 1, 2, 358
Factor x**2 - 70*x - 71.
(x - 71)*(x + 1)
Solve 25*d**2 - 6735*d + 2690 = 0.
2/5, 269
Solve -x**2/5 + 2*x/5 + 24/5 = 0 for x.
-4, 6
Find g such that 2*g**2/13 - 206*g/13 + 1164/13 = 0.
6, 97
Factor -2*w**3 + 42*w**2 - 78*w + 38.
-2*(w - 19)*(w - 1)**2
Suppose -10*i**5 - 28*i**4 + 112*i**3/5 + 544*i**2/5 + 352*i/5 + 64/5 = 0. What is i?
-2, -2/5, 2
Factor 2*x**2/7 + 30*x/7 + 4.
2*(x + 1)*(x + 14)/7
Suppose -3*r**2/7 + 22698*r/7 - 42933267/7 = 0. Calculate r.
3783
Suppose -w**2/2 + 17*w = 0. What is w?
0, 34
Factor -5*h**4 + 145*h**3 + 305*h**2 + 155*h.
-5*h*(h - 31)*(h + 1)**2
Suppose -28*u**4 + 904*u**3 - 228*u**2 - 904*u + 256 = 0. Calculate u.
-1, 2/7