13 = 0. Calculate k.
-1, 144
Factor 2*f**2/3 - 46*f - 468.
2*(f - 78)*(f + 9)/3
Factor 5*n**2 + 40*n - 3045.
5*(n - 21)*(n + 29)
Let -b**4 - 2*b**3 + 7*b**2 + 20*b + 12 = 0. What is b?
-2, -1, 3
Suppose -o**5/5 + 2*o**4/5 + 4*o**3 + 24*o**2/5 = 0. Calculate o.
-2, 0, 6
What is s in s**3/10 + 11*s**2/10 - 8*s/5 - 32 = 0?
-8, 5
What is o in -15*o**2/2 + 1299*o/2 + 261 = 0?
-2/5, 87
Let -u**3/2 - 3*u**2/2 + 9*u/2 - 5/2 = 0. Calculate u.
-5, 1
Factor 14*w**5/3 + 370*w**4 + 316*w**3/3.
2*w**3*(w + 79)*(7*w + 2)/3
Find r, given that 2*r**3/17 + 16*r**2/17 - 8*r/17 - 64/17 = 0.
-8, -2, 2
Factor -2*x**2/7 + 78*x/7 - 148/7.
-2*(x - 37)*(x - 2)/7
Solve 4*h**2 + 280*h - 284 = 0.
-71, 1
Let -r**3 + 17*r**2 - 31*r + 15 = 0. Calculate r.
1, 15
Let -4*t**4 - 40*t**3 - 128*t**2 - 128*t = 0. Calculate t.
-4, -2, 0
Find s, given that s**2/5 - 3*s/5 - 4/5 = 0.
-1, 4
Factor 3*y**4 + 9*y**3 + 9*y**2 + 3*y.
3*y*(y + 1)**3
Factor 2*z**3 + 12*z**2 - 2*z - 12.
2*(z - 1)*(z + 1)*(z + 6)
Factor -35*n**2/2 - 16*n + 3/2.
-(n + 1)*(35*n - 3)/2
Factor 3*l**2 + 195*l + 2772.
3*(l + 21)*(l + 44)
Determine m, given that -m**2/3 + 59*m + 960 = 0.
-15, 192
Factor -2*t**3/3 + 14*t**2/3 + 12*t.
-2*t*(t - 9)*(t + 2)/3
Factor 135*w**2/2 + 125*w/2 - 5.
5*(w + 1)*(27*w - 2)/2
Factor z**3 + 54*z**2 + 864*z + 3456.
(z + 6)*(z + 24)**2
Factor z**2/2 - 17*z + 60.
(z - 30)*(z - 4)/2
Factor -a**5 - 2*a**4 + 12*a**3 + 18*a**2 - 27*a.
-a*(a - 3)*(a - 1)*(a + 3)**2
Suppose 84*h**2/5 + 186*h/5 + 36/5 = 0. Calculate h.
-2, -3/14
Suppose 7*k**5/4 + k**4/2 - 21*k**3/2 + 11*k**2 - 5*k/4 - 3/2 = 0. What is k?
-3, -2/7, 1
Suppose v**5/3 + 4*v**4 + 6*v**3 - 76*v**2/3 + 15*v = 0. Calculate v.
-9, -5, 0, 1
Factor z**5/3 - z**4/3 - 11*z**3 - 21*z**2.
z**2*(z - 7)*(z + 3)**2/3
Factor -f**5 - 2487*f**4 - 2061723*f**3 - 569722789*f**2.
-f**2*(f + 829)**3
Suppose -12*o**3 - 68*o**2 + 108*o - 28 = 0. Calculate o.
-7, 1/3, 1
Factor 2*n**3 + 48*n**2 - 1512*n.
2*n*(n - 18)*(n + 42)
Suppose 2*x**3/3 + 111*x**2 + 271*x - 1148/3 = 0. What is x?
-164, -7/2, 1
Factor p**2/2 + p - 63/2.
(p - 7)*(p + 9)/2
Let -r**2 + 1038*r - 269361 = 0. Calculate r.
519
Suppose f**5/7 - 121*f**4/7 + 3208*f**3/7 + 27632*f**2/7 + 34816*f/7 - 65536/7 = 0. Calculate f.
-4, 1, 64
Factor d**2 + 21*d - 22.
(d - 1)*(d + 22)
Solve 5*s**3 - 1265*s**2 - 5*s + 1265 = 0 for s.
-1, 1, 253
Find a such that 15*a**5 + 81*a**4 + 81*a**3 - 141*a**2 - 144*a + 108 = 0.
-3, -2, 3/5, 1
What is o in 5*o**2/6 + 11*o/3 - 5/2 = 0?
-5, 3/5
Factor -35*w**4 + 1145*w**3 + 330*w**2.
-5*w**2*(w - 33)*(7*w + 2)
Solve -r**4/3 + 5*r**3/3 + 44*r**2/3 + 20*r = 0 for r.
-3, -2, 0, 10
What is b in -6*b**2 + 140*b - 816 = 0?
34/3, 12
Factor -4*c**4/3 - 88*c**3 - 4084*c**2/3 + 2992*c - 4624/3.
-4*(c - 1)**2*(c + 34)**2/3
Factor 7*z**3/3 - 691*z**2/3 + 2462*z/3 + 760/3.
(z - 95)*(z - 4)*(7*z + 2)/3
Factor -2*h**2 + 238*h + 732.
-2*(h - 122)*(h + 3)
Let d**2/2 - 327*d/2 - 495 = 0. Calculate d.
-3, 330
Let 4*g**2 + 376*g + 372 = 0. Calculate g.
-93, -1
Factor 2*v**2/7 + 52*v/7 - 54/7.
2*(v - 1)*(v + 27)/7
Find x such that -27*x**3 - 7356*x**2 - 502656*x - 221952 = 0.
-136, -4/9
Factor -r**2/2 - 505*r - 255025/2.
-(r + 505)**2/2
Suppose -3*z**3 - 172*z**2 + 293*z - 118 = 0. Calculate z.
-59, 2/3, 1
Let -o**2 - 215*o + 1100 = 0. What is o?
-220, 5
Factor -4*z**2 - 684*z + 3520.
-4*(z - 5)*(z + 176)
Factor -3*u**2/4 + 123*u/4 - 585/2.
-3*(u - 26)*(u - 15)/4
Solve 5*w**3 - 210*w**2 + 1855*w - 1650 = 0 for w.
1, 11, 30
Factor k**3 + 10*k**2 + 13*k - 24.
(k - 1)*(k + 3)*(k + 8)
Factor 2*m**4 + 58*m**3 - 256*m**2 + 264*m.
2*m*(m - 2)**2*(m + 33)
Solve -2*b**2/5 + 4*b/5 + 6 = 0 for b.
-3, 5
Solve 320*d**3 + 980*d**2 + 45*d - 45 = 0 for d.
-3, -1/4, 3/16
Factor 2*n**2/11 - 422*n/11 + 2460/11.
2*(n - 205)*(n - 6)/11
Suppose -c**5/2 + 6*c**4 - 28*c**3 + 64*c**2 - 72*c + 32 = 0. What is c?
2, 4
Factor v**2 - 69*v.
v*(v - 69)
Factor -4*v**2/3 + 812*v + 9808/3.
-4*(v - 613)*(v + 4)/3
Find a, given that 5*a**3 + 560*a**2 - 1140*a = 0.
-114, 0, 2
Suppose 2*r**5/13 - 28*r**4/13 + 136*r**3/13 - 272*r**2/13 + 192*r/13 = 0. What is r?
0, 2, 4, 6
Find u, given that u**2 - 35*u = 0.
0, 35
Factor 4*x**2/7 + 65*x + 339/7.
(x + 113)*(4*x + 3)/7
Let -2*m**3/5 + 2*m**2/5 + 12*m - 144/5 = 0. Calculate m.
-6, 3, 4
Solve -161*a**3/6 + 55*a**2/2 + 4*a/3 - 2 = 0 for a.
-6/23, 2/7, 1
Solve 3*u**4 - 11*u**3 - 6*u**2 + 8*u = 0.
-1, 0, 2/3, 4
Find k, given that 5*k**5 + 25*k**4 - 5*k**3 - 25*k**2 = 0.
-5, -1, 0, 1
Suppose -c**5 + 4*c**4 - 3*c**3 - 4*c**2 + 4*c = 0. What is c?
-1, 0, 1, 2
Factor -5*c**2 + 2190*c - 4360.
-5*(c - 436)*(c - 2)
Factor -b**3/3 - 3*b**2 + 4*b/3 + 12.
-(b - 2)*(b + 2)*(b + 9)/3
Factor -3*v**3/5 + 96*v**2/5 - 663*v/5 - 1734/5.
-3*(v - 17)**2*(v + 2)/5
What is y in -2*y**4/13 + 152*y**3/13 - 34*y**2 + 292*y/13 = 0?
0, 1, 2, 73
Determine q so that 2*q**5/9 + 2*q**4/9 - 8*q**3/3 - 56*q**2/9 - 32*q/9 = 0.
-2, -1, 0, 4
Factor 3*j**2/4 - 21*j/4 - 45/2.
3*(j - 10)*(j + 3)/4
Find k such that 5*k**2 - 75*k = 0.
0, 15
Find u such that 7*u**2/3 - 11*u/3 - 52 = 0.
-4, 39/7
Factor -a**2/2 - 12*a.
-a*(a + 24)/2
Solve 8*z**5/11 + 2462*z**4/11 - 56*z**3 = 0.
-308, 0, 1/4
Factor a**4/7 + 20*a**3/7 - 576*a**2/7 + 3888*a/7 - 8208/7.
(a - 6)**3*(a + 38)/7
What is u in -2*u**2 - 1248*u + 2504 = 0?
-626, 2
Factor -4*l**4 + 16*l**3 + 100*l**2 - 112*l.
-4*l*(l - 7)*(l - 1)*(l + 4)
Factor -3*u**3 + 279*u**2 + 1755*u + 2673.
-3*(u - 99)*(u + 3)**2
Let 2*i**3/5 - 6*i**2 + 54*i/5 - 26/5 = 0. Calculate i.
1, 13
Solve 2*y**4 - 12*y**3 - 32*y**2 = 0.
-2, 0, 8
Solve -j**2/7 + 200*j/7 - 10000/7 = 0.
100
Find x such that -5*x**4 - 80*x**3 + 1320*x**2 + 320*x - 5200 = 0.
-26, -2, 2, 10
Determine l so that -l**5/3 + 10*l**4 - 27*l**3 - 4*l**2/3 + 36*l = 0.
-1, 0, 2, 27
Factor -27*v**2/2 + 1302*v - 94178/3.
-(9*v - 434)**2/6
Factor p**5/3 - 8*p**4/3 - 3*p**3.
p**3*(p - 9)*(p + 1)/3
Find k such that -2*k**4/7 - 22*k**3/7 = 0.
-11, 0
Factor 3*f**4 + 45*f**3 - 66*f**2 - 288*f.
3*f*(f - 3)*(f + 2)*(f + 16)
Find b, given that 3*b**2 + 54*b/5 - 168/5 = 0.
-28/5, 2
Determine x, given that 3*x**5 - 12*x**3 - 6*x**2 + 9*x + 6 = 0.
-1, 1, 2
Determine r, given that -2*r**5/5 + 352*r**4/5 - 2952*r**3 - 12960*r**2 = 0.
-4, 0, 90
Suppose 2*u**2 - 632*u = 0. Calculate u.
0, 316
Suppose -2*g**3/5 - 12*g**2/5 + 2*g/5 + 12/5 = 0. What is g?
-6, -1, 1
Find p, given that 5*p**3 - 115*p**2 + 195*p + 315 = 0.
-1, 3, 21
Let -4*f**4 - 372*f**3/5 - 213*f**2/5 + 56*f/5 + 36/5 = 0. What is f?
-18, -1/2, 2/5
Factor -5*o**2 - 46580*o - 108484820.
-5*(o + 4658)**2
Determine o so that 3*o**2 + 5952*o = 0.
-1984, 0
Let -4*h**3 - 172*h**2 - 1344*h + 11520 = 0. Calculate h.
-24, 5
Determine v, given that 248*v**5/5 + 2372*v**4/5 + 6848*v**3/5 + 880*v**2 - 3712*v/5 - 256/5 = 0.
-4, -2, -2/31, 1/2
What is f in -15*f**3 + 100*f**2/3 + 340*f/3 - 80/3 = 0?
-2, 2/9, 4
Factor 2*p**2 - 104*p - 106.
2*(p - 53)*(p + 1)
Determine c, given that -c**2 + 45*c - 126 = 0.
3, 42
Factor -112*g**2 - 66*g + 46.
-2*(g + 1)*(56*g - 23)
Find w, given that 2*w**4/3 + 668*w**3/3 + 1984*w**2/3 - 668*w/3 - 662 = 0.
-331, -3, -1, 1
What is q in -q**5/5 + 14*q**4/5 + 17*q**3/5 - 6*q**2 = 0?
-2, 0, 1, 15
What is p in -2*p**4 - 4*p**3 + 26*p**2 - 20*p = 0?
-5, 0, 1, 2
Solve -3*v**4 - 276*v**3 - 7356*v**2 - 46368*v - 84672 = 0.
-42, -4
Factor 108*l**3 + 2156*l**2 - 2348*l + 84.
4*(l - 1)*(l + 21)*(27*l - 1)
Factor -2*l**3 + 914*l**2 - 1820*l.
-2*l*(l - 455)*(l - 2)
Determine n so that -2*n**5/7 - 12*n**4/7 + 2*n**3 + 72*n**2/7 - 72*n/7 = 0.
-6, -3, 0, 1, 2
Factor -12*p**2 + 933*p - 693.
-3*(p - 77)*(4*p - 3)
Find l such that -6*l**3 - 1107*l**2 - 552*l = 0.
-184, -1/2, 0
Suppose 2*o**5/9 + 10*o**4/9 - 172*o**3/9 + 436*o**2/9 - 406*o/9 + 130/9 = 0. What is o?
-13, 1, 5
Factor 2*i**3/7 + 1852*i**2/7 - 530*i + 1856/7.
2*(i - 1)**2*(i + 928)/7
Factor -r**4 - 18*r**3 - 112*r**2 - 270*r - 175.
-(r + 1)*(r + 5)**2*(r + 7)
Factor 5*b**4 + 435*b**3 + 9315*b**2 + 76545*b + 218700.
5*(b + 9)**3*(b + 60)
Factor -21*v**3/2 - 13*v**2/6 + v.
-v*(7*v + 3)*(9*v - 2)/6
Factor 4*c**2 + 668*c + 5688.
4*(c + 9)*(c + 158)
Factor -3*x**2 + 612*x.
-3*x*(x - 204)
Determine y, given that -2*y**2 - 20*y - 48 = 0.
-6, -4
What is b in 6*b**4/5 + 68*b**3/5 + 176*b**2/5 + 128*b/5 = 0?
-8, -2, -4/3, 0
Factor 4*s**2 -