06
Factor -4*b**4/5 - 56*b**3/5 - 276*b**2/5 - 112*b - 80.
-4*(b + 2)**2*(b + 5)**2/5
Suppose -2*o**4 + 210*o**3 - 5188*o**2 - 17064*o - 11664 = 0. Calculate o.
-2, -1, 54
Determine s, given that -s**4/2 + 8*s**3 + 21*s**2/2 - 158*s - 160 = 0.
-4, -1, 5, 16
Factor 3*m**2 - 144*m.
3*m*(m - 48)
Solve 12*n**4 - 308*n**3 + 2536*n**2 - 6320*n - 2400 = 0.
-1/3, 6, 10
Factor -d**2/2 - 20*d/3 - 13/6.
-(d + 13)*(3*d + 1)/6
Factor 2*c**5 - 10*c**4 + 12*c**3 + 4*c**2 - 14*c + 6.
2*(c - 3)*(c - 1)**3*(c + 1)
Factor -12*c**3 + 640*c**2 - 8316*c - 5832.
-4*(c - 27)**2*(3*c + 2)
Factor -z**2/3 + 2*z/3 + 1.
-(z - 3)*(z + 1)/3
Find i such that -6*i**2 + 5127*i/2 - 1281/2 = 0.
1/4, 427
Let -32*k**5/5 - 48*k**4/5 + 14*k**3/5 + 48*k**2/5 + 18*k/5 = 0. Calculate k.
-1, -3/4, 0, 1
Let 2*n**4/5 - 604*n**3/5 - 6*n**2/5 + 1808*n/5 + 1208/5 = 0. What is n?
-1, 2, 302
Find j such that 3*j**2/8 - 51*j/4 + 867/8 = 0.
17
Determine f so that -5*f**5 - 90*f**4 - 480*f**3 - 710*f**2 - 315*f = 0.
-9, -7, -1, 0
Solve 5*b**2 + 125*b - 130 = 0.
-26, 1
Determine t so that -2*t**2/3 + 84*t - 2646 = 0.
63
Solve -5*q**2/6 + 155*q/6 - 25 = 0.
1, 30
Find b such that -2*b**2 + 16*b - 14 = 0.
1, 7
What is w in -3*w**3 - 6*w**2 + 573*w - 1584 = 0?
-16, 3, 11
Find p, given that 3*p**2 - 972*p + 78732 = 0.
162
Suppose 6*n**5/7 + 13*n**4/7 + 3*n**3/7 - 11*n**2/7 - 9*n/7 - 2/7 = 0. Calculate n.
-1, -2/3, -1/2, 1
Find g, given that 3*g**3 - 75*g**2 - 159*g - 81 = 0.
-1, 27
Let n**2 - 49*n - 50 = 0. What is n?
-1, 50
Let 9*v**5/2 - 3*v**4 + v**3/2 = 0. What is v?
0, 1/3
Factor 5*z**2 - 5*z - 100.
5*(z - 5)*(z + 4)
Factor c**2 + 47*c/3 + 10.
(c + 15)*(3*c + 2)/3
Factor 48*a**5 + 456*a**4 - 237*a**3 + 30*a**2.
3*a**2*(a + 10)*(4*a - 1)**2
Factor -r**2/4 + 3*r/4 + 9/2.
-(r - 6)*(r + 3)/4
Factor 15*w**3 - 25*w**2 - 70*w + 80.
5*(w - 1)*(w + 2)*(3*w - 8)
Let 6*g**2/5 - 2382*g/5 = 0. What is g?
0, 397
Determine l so that 35*l**4 - 620*l**3 - 180*l**2 = 0.
-2/7, 0, 18
Determine s, given that -4*s**5/7 + 4*s**4/7 + 20*s**3/7 - 20*s**2/7 - 16*s/7 + 16/7 = 0.
-2, -1, 1, 2
Find i such that i**4 + 17*i**3 + 35*i**2 - 377*i - 396 = 0.
-11, -9, -1, 4
Let p**5/3 - 11*p**4/3 + 31*p**3/3 + 19*p**2/3 - 104*p/3 - 80/3 = 0. What is p?
-1, 4, 5
Factor -2*v**3/3 + 4*v**2/3 + 2*v.
-2*v*(v - 3)*(v + 1)/3
Find m, given that -55*m**4 + 45*m**3 + 285*m**2 + 215*m + 30 = 0.
-1, -2/11, 3
Suppose 3*a**3 + 997*a**2 - 1668*a + 668 = 0. Calculate a.
-334, 2/3, 1
Let -3*d**3 - 24*d**2 = 0. What is d?
-8, 0
Factor -f**2 - 37*f - 36.
-(f + 1)*(f + 36)
Solve o**3/4 + 25*o**2/4 + 167*o/4 + 143/4 = 0.
-13, -11, -1
Factor -2*z**3 - 40*z**2 - 134*z - 96.
-2*(z + 1)*(z + 3)*(z + 16)
Find h such that 5*h**3 - 10*h**2 - 35*h - 20 = 0.
-1, 4
Factor -3*k**3/2 - 2021*k**2/4 + 2365*k/4 - 169/2.
-(k - 1)*(k + 338)*(6*k - 1)/4
Factor m**2/7 + 27*m/7.
m*(m + 27)/7
What is q in 34*q**4 + 336*q**3 + 368*q**2 - 2496*q + 288 = 0?
-6, 2/17, 2
Solve -g**5 + 477*g**4/5 - 583*g**3 + 1203*g**2 - 928*g + 1068/5 = 0 for g.
2/5, 1, 2, 3, 89
Factor -4*o**3 - 23460*o**2 - 45864300*o - 29888235500.
-4*(o + 1955)**3
Let -2*l**3/19 - 2*l**2/19 + 2*l/19 + 2/19 = 0. Calculate l.
-1, 1
Factor -2*d**3/5 - 1722*d**2/5 - 344*d.
-2*d*(d + 1)*(d + 860)/5
Find k, given that -4*k**2 - 1920*k - 230400 = 0.
-240
Factor -5*l**2 + 90*l.
-5*l*(l - 18)
Factor -3*l**2 + 102*l - 504.
-3*(l - 28)*(l - 6)
Factor -2*a**3/9 - 44*a**2/3 - 192*a - 6400/9.
-2*(a + 8)**2*(a + 50)/9
Factor 3*f**2 - 60*f - 468.
3*(f - 26)*(f + 6)
Find s, given that -8*s**5/7 - 6*s**4 - 65*s**3/7 - 33*s**2/7 + s/7 + 3/7 = 0.
-3, -1, -1/2, 1/4
Factor 5*x**3 + 35*x**2 - 5*x - 35.
5*(x - 1)*(x + 1)*(x + 7)
Let 8*m**4/7 - 2*m**3/7 - 8*m**2/7 + 2*m/7 = 0. Calculate m.
-1, 0, 1/4, 1
Let -y**4 - 11*y**3 - 38*y**2 - 52*y - 24 = 0. Calculate y.
-6, -2, -1
Factor 4*c**5 - 8*c**4 + c**3 + 5*c**2 - c - 1.
(c - 1)**3*(2*c + 1)**2
Factor -5*m**5 - 20*m**4 - 15*m**3.
-5*m**3*(m + 1)*(m + 3)
Suppose -y**4/9 + y**3/3 - 2*y**2/9 = 0. What is y?
0, 1, 2
Determine c so that c**2/4 - 519*c/4 + 259/2 = 0.
1, 518
Determine d, given that -d**3/5 + 4*d**2/5 + 51*d/5 - 54/5 = 0.
-6, 1, 9
Factor n**3/8 + 39*n**2/4 + 369*n/8 + 73/2.
(n + 1)*(n + 4)*(n + 73)/8
Suppose 2*k**2/21 - 50*k/21 - 36/7 = 0. What is k?
-2, 27
Factor -j**4/4 + 30*j**3 - 900*j**2.
-j**2*(j - 60)**2/4
Let 10*r**3 + 325*r**2 - 690*r = 0. Calculate r.
-69/2, 0, 2
Factor 3*r**2/7 + 288*r/7 + 564/7.
3*(r + 2)*(r + 94)/7
Suppose 4*v**5 + 248*v**4 + 5860*v**3 + 65888*v**2 + 355072*v + 739328 = 0. What is v?
-19, -8
Let -20*z**5 + 512*z**4 + 748*z**3 + 216*z**2 = 0. Calculate z.
-1, -2/5, 0, 27
Factor 7605*f**2 - 780*f + 20.
5*(39*f - 2)**2
Factor -14*y**3/3 - 88*y**2/3 + 200*y/3 + 64/3.
-2*(y - 2)*(y + 8)*(7*y + 2)/3
Find n, given that n**2/6 - 515*n/6 - 517/3 = 0.
-2, 517
Suppose 3*w**3 + 300*w**2 - 303*w = 0. What is w?
-101, 0, 1
Determine c so that c**4 = 0.
0
Factor 4*g**5 + 416*g**4 + 14272*g**3 + 155960*g**2 - 200900*g - 343000.
4*(g - 2)*(g + 1)*(g + 35)**3
What is q in -29*q**3 - 668*q**2 - 23*q = 0?
-23, -1/29, 0
Solve -4*r**3 - 40*r**2 - 132*r - 144 = 0 for r.
-4, -3
Factor -5*y**4 - 20*y**3 - 20*y**2.
-5*y**2*(y + 2)**2
Factor 2*a**3 - 110*a**2 + 1566*a - 1458.
2*(a - 27)**2*(a - 1)
Let -5*g**4 + 315*g**3 + 15*g**2 - 955*g + 630 = 0. Calculate g.
-2, 1, 63
Solve -4*z**4/5 - 1032*z**3/5 + 2096*z**2/5 + 4128*z/5 - 1664 = 0.
-260, -2, 2
Factor q**4/5 - 204*q**3/5 + 15606*q**2/5 - 530604*q/5 + 6765201/5.
(q - 51)**4/5
Factor -3*l**5 - 261*l**4 - 249*l**3 + 789*l**2 + 1296*l + 516.
-3*(l - 2)*(l + 1)**3*(l + 86)
Suppose 3*d**2 + 45*d + 78 = 0. What is d?
-13, -2
Factor -j**2 + 17*j - 42.
-(j - 14)*(j - 3)
Factor -4*u**2/9 - 460*u/9 + 104.
-4*(u - 2)*(u + 117)/9
Factor 5*c**3/4 + 21*c**2/4 + 6*c + 1.
(c + 2)**2*(5*c + 1)/4
Determine m so that m**2 - 2*m - 8 = 0.
-2, 4
Suppose t**2/2 + 15*t/2 + 18 = 0. What is t?
-12, -3
Factor g**4/2 + 458*g**3 + 139536*g**2 + 14045400*g - 28652616.
(g - 2)*(g + 306)**3/2
Determine g so that 104882*g**2 - 8244*g + 162 = 0.
9/229
Suppose -a**3/5 - 867*a**2/5 - 37671*a - 187489/5 = 0. Calculate a.
-433, -1
Factor 4*u**2 + 24*u - 64.
4*(u - 2)*(u + 8)
Find t, given that -2*t**3 + 2*t**2 + 8*t - 8 = 0.
-2, 1, 2
Determine i so that -2*i**2/13 + 266*i/13 = 0.
0, 133
What is o in o**5/7 + 167*o**4/7 + 6362*o**3/7 - 51074*o**2/7 + 82389*o/7 - 37845/7 = 0?
-87, 1, 5
Factor 4*v**4 - 32*v**3 - 44*v**2 + 72*v.
4*v*(v - 9)*(v - 1)*(v + 2)
Factor 5*a**5 + 17*a**4 + 21*a**3 + 11*a**2 + 2*a.
a*(a + 1)**3*(5*a + 2)
Let -4*f**3 - 244*f**2 + 1024*f - 1040 = 0. Calculate f.
-65, 2
Find c, given that -4*c**4 + 380*c**3 - 13104*c**2 + 191296*c - 965888 = 0.
11, 28
Let -2*u**3 - 386*u**2 - 18430*u + 18818 = 0. Calculate u.
-97, 1
Find o, given that -5*o**4 + 10*o**3 + 60*o**2 - 200*o + 160 = 0.
-4, 2
Suppose 2*b**5/11 + 12*b**4/11 - 72*b**3/11 - 432*b**2/11 = 0. Calculate b.
-6, 0, 6
Factor 2*c**2/11 - 5944*c/11 + 4416392/11.
2*(c - 1486)**2/11
Find b such that 5*b**2 + 115*b + 510 = 0.
-17, -6
Factor 2*u**5/15 - 8*u**3/5 - 32*u**2/15.
2*u**2*(u - 4)*(u + 2)**2/15
Factor v**2 - 95*v - 194.
(v - 97)*(v + 2)
Suppose 4*x**5 - 52*x**4 - 60*x**3 + 52*x**2 + 56*x = 0. What is x?
-1, 0, 1, 14
Factor 5*l**2 + 3085*l + 3080.
5*(l + 1)*(l + 616)
Let 7*w**3 - 86*w**2 + 24*w = 0. Calculate w.
0, 2/7, 12
Factor -u**2/2 - 61*u/2 + 63.
-(u - 2)*(u + 63)/2
Find y such that 2*y**2 + 7296*y - 7298 = 0.
-3649, 1
Factor 5*d**5 + 65*d**4 + 245*d**3 + 395*d**2 + 290*d + 80.
5*(d + 1)**3*(d + 2)*(d + 8)
Let 42*k**3/11 - 26*k**2/11 - 24*k/11 + 8/11 = 0. What is k?
-2/3, 2/7, 1
Factor g**5/3 - 19*g**3/3 + 34*g**2/3 + 4*g - 40/3.
(g - 2)**3*(g + 1)*(g + 5)/3
Solve 18*u**5/13 - 228*u**4/13 + 56*u**3 + 400*u**2/13 - 3072*u/13 + 2304/13 = 0 for u.
-2, 4/3, 6
What is c in 6*c**2/19 + 200*c/19 - 136/19 = 0?
-34, 2/3
Factor -a**4/3 + a**3/3 + 6*a**2 - 52*a/3 + 40/3.
-(a - 2)**3*(a + 5)/3
Factor 2*v**5 + 12*v**4.
2*v**4*(v + 6)
Factor j**4/7 - 5*j**3/7 - 3*j**2 - 23*j/7 - 8/7.
(j - 8)*(j + 1)**3/7
Suppose 4*w**3/5 - 52*w**2/5 + 184*w/5 - 192/5 = 0. Calculate w.
2, 3, 8
Let 2*t**2 - 22*t - 52 = 0. What is t?
-2, 13
Suppose 2*j**4/3 - 10*j**3/3 - 22*j**2 - 18*j = 0. What is j?
-3, -1, 0, 9
Determine x so that -x**2 - 44*x - 435 = 0.
-29, -15
Determine a so that 420*a**5 - 1265*a**4