3
Find a, given that -5*a**4 - 18*a**3 + 33*a**2 - 10*a = 0.
-5, 0, 2/5, 1
What is w in 3*w**3 + 33*w**2 - 75*w + 39 = 0?
-13, 1
Determine l, given that -2*l**2 - 6*l - 4 = 0.
-2, -1
Factor q**3 + 5*q**2 - 6*q.
q*(q - 1)*(q + 6)
Factor -f**4 - 1063*f**3.
-f**3*(f + 1063)
Suppose -2*a**4/3 + 46*a**3/3 - 352*a**2/3 + 896*a/3 = 0. Calculate a.
0, 7, 8
Find k, given that 4*k**3/7 + 36*k**2/7 + 60*k/7 + 4 = 0.
-7, -1
Factor -z**4 - 1946*z**3 - 946729*z**2.
-z**2*(z + 973)**2
Find b, given that -45*b**2 + 3285*b - 2170 = 0.
2/3, 217/3
Factor -2*x**5 - 90*x**4 - 340*x**3 - 500*x**2 - 330*x - 82.
-2*(x + 1)**4*(x + 41)
Let -2*x**2/13 + 76*x/13 - 144/13 = 0. What is x?
2, 36
Factor o**2/4 + 39*o/2 - 243/4.
(o - 3)*(o + 81)/4
What is w in -5*w**4 + 20*w**3 + 95*w**2 + 70*w = 0?
-2, -1, 0, 7
Factor 4*o**4 - 4*o**3 - 48*o**2 - 16*o + 64.
4*(o - 4)*(o - 1)*(o + 2)**2
Factor 5*q**4 - 1645*q**3 + 132800*q**2 + 413340*q.
5*q*(q - 166)**2*(q + 3)
Factor 64*c**4/7 + 208*c**3/7 - 895*c**2/7 + 131*c - 42.
(c - 1)*(c + 6)*(8*c - 7)**2/7
Factor -p**2 + 1165*p - 2326.
-(p - 1163)*(p - 2)
Let -2*h**5/5 - 16*h**4/5 + 48*h**3/5 + 292*h**2/5 - 182*h + 588/5 = 0. What is h?
-7, 1, 2, 3
Factor -3*k**3 - 6*k**2 + 72*k.
-3*k*(k - 4)*(k + 6)
Factor 6*y**4 - 25*y**3 + 26*y**2 + 4*y - 8.
(y - 2)**2*(2*y + 1)*(3*y - 2)
Find h such that h**2/8 - 35*h/4 + 17 = 0.
2, 68
Solve 5*m**5 - 205*m**4 + 1535*m**3 + 11405*m**2 + 20240*m + 10580 = 0.
-2, -1, 23
Let 3*r**4 + 4209*r**3 - 8427*r**2 + 4215*r = 0. Calculate r.
-1405, 0, 1
Factor c**5/2 + 2*c**4 + c**3 - 2*c**2 - 3*c/2.
c*(c - 1)*(c + 1)**2*(c + 3)/2
What is h in -3*h**4 - 33*h**3 + 495*h**2 - 879*h + 420 = 0?
-20, 1, 7
Factor m**2/2 + m/2 - 1.
(m - 1)*(m + 2)/2
Factor 3*f**2/5 - 27*f/5 + 42/5.
3*(f - 7)*(f - 2)/5
Factor 2*r**3/5 + 44*r**2/5 + 30*r + 108/5.
2*(r + 1)*(r + 3)*(r + 18)/5
Factor j**4/6 - j**3/3 - 7*j**2/6 - 2*j/3.
j*(j - 4)*(j + 1)**2/6
Let 245*x**5/2 - 175*x**4 - 505*x**3/2 + 155*x**2 + 130*x + 20 = 0. What is x?
-1, -2/7, 1, 2
Find z such that -4*z**2/7 + 676*z/7 = 0.
0, 169
Factor -2*i**5/11 - 74*i**4/11 + 492*i**3/11 - 1016*i**2/11 + 688*i/11.
-2*i*(i - 2)**3*(i + 43)/11
Factor -2*d**4 - 66*d**3 + 286*d**2 - 366*d + 148.
-2*(d - 2)*(d - 1)**2*(d + 37)
Factor -3*o**2/5 + 256*o/5 + 172/5.
-(o - 86)*(3*o + 2)/5
Determine b so that -b**3/5 + 8*b**2 - 80*b = 0.
0, 20
Let 15*l**5 - 70*l**4 + 95*l**3 - 20*l**2 - 20*l = 0. Calculate l.
-1/3, 0, 1, 2
Factor -25*d**3/8 + d**2/4 + 25*d/8 - 1/4.
-(d - 1)*(d + 1)*(25*d - 2)/8
Determine c so that -2*c**4/23 + 4*c**3/23 + 10*c**2/23 - 12*c/23 = 0.
-2, 0, 1, 3
Factor -6*h**3 + 117*h**2 + 186*h + 63.
-3*(h - 21)*(h + 1)*(2*h + 1)
Factor -f**2 + 4*f.
-f*(f - 4)
Find i, given that 6*i**2/11 + 4188*i/11 - 4194/11 = 0.
-699, 1
Factor -v**2 + 82*v.
-v*(v - 82)
Factor 4*d**2 - 228*d + 224.
4*(d - 56)*(d - 1)
What is t in t**2 + 52*t - 285 = 0?
-57, 5
Factor -4*q**3/7 + 320*q**2/7 - 316*q/7.
-4*q*(q - 79)*(q - 1)/7
Solve h**4/3 + 21*h**3 + 893*h**2/3 - 1045*h + 726 = 0.
-33, 1, 2
Factor -5*c**2/6 + 205*c/6 + 35.
-5*(c - 42)*(c + 1)/6
Let -2*y**4/15 + 4*y**3/3 - 16*y**2/5 + 44*y/15 - 14/15 = 0. What is y?
1, 7
Find z, given that 2*z**3 - 26*z**2 - 226*z + 1530 = 0.
-9, 5, 17
Find d such that d**4 - 25*d**3 - 116*d**2 = 0.
-4, 0, 29
Factor o**2/2 - 10*o + 18.
(o - 18)*(o - 2)/2
Factor 4*g**3 + 48*g**2 - 112*g.
4*g*(g - 2)*(g + 14)
Factor 3*i**2 - 30*i.
3*i*(i - 10)
Factor -t**2/4 - 11*t/4 + 21/2.
-(t - 3)*(t + 14)/4
Suppose z**4/2 - 833*z**3/2 + 116334*z**2 - 11083608*z + 52561440 = 0. What is z?
5, 276
Factor -4*q**3 + 25*q**2 + 22*q - 7.
-(q - 7)*(q + 1)*(4*q - 1)
Let n**2/8 + 220*n + 96800 = 0. What is n?
-880
Suppose -50*w**4 - 26460*w**3 - 5258*w**2 + 16920*w - 4232 = 0. What is w?
-529, -1, 2/5
Determine w, given that -3*w**4 + 66*w**3 - 429*w**2 + 870*w - 504 = 0.
1, 2, 7, 12
Factor -3*q**2 + 44*q + 15.
-(q - 15)*(3*q + 1)
Factor -2*n**3/7 + 2*n**2 - 12*n/7.
-2*n*(n - 6)*(n - 1)/7
Find a, given that -3*a**5/5 - 33*a**4/5 - 27*a**3/5 + 33*a**2/5 + 6*a = 0.
-10, -1, 0, 1
Factor 5*k**4/4 - 43*k**3/4 + 13*k**2 + 7*k.
k*(k - 7)*(k - 2)*(5*k + 2)/4
Factor -2*c**2/3 - 10*c - 24.
-2*(c + 3)*(c + 12)/3
Solve -7*t**2/6 + 22*t/3 - 2 = 0.
2/7, 6
Let 36*a**5 - 285*a**4 + 505*a**3 + 135*a**2 - 181*a + 30 = 0. What is a?
-2/3, 1/4, 1/3, 3, 5
Factor -f**4/4 - 25*f**3/4 - 83*f**2/2 - 24*f + 72.
-(f - 1)*(f + 2)*(f + 12)**2/4
Suppose 3*y**5/5 - 6*y**4/5 - 9*y**3/5 = 0. Calculate y.
-1, 0, 3
Factor -2*o**2 - 78*o - 76.
-2*(o + 1)*(o + 38)
Determine g, given that -14*g**4/9 - 10*g**3/9 + 4*g**2/9 = 0.
-1, 0, 2/7
Factor -3*n**2/4 + 4323*n - 6229443.
-3*(n - 2882)**2/4
Factor m**2/2 + 97*m - 196.
(m - 2)*(m + 196)/2
Find f, given that -2*f**3 + 74*f**2 - 638*f - 714 = 0.
-1, 17, 21
Find k such that -k**2 + 1762*k = 0.
0, 1762
Determine a so that 2*a**4/3 - 116*a**3/3 + 1562*a**2/3 + 1160*a + 600 = 0.
-1, 30
Factor -925965*s**3 - 97470*s**2 - 3420*s - 40.
-5*(57*s + 2)**3
Suppose 2*u**3 + 16*u**2 - 22*u - 36 = 0. Calculate u.
-9, -1, 2
Solve -f**2/8 + 277*f/4 + 555/8 = 0.
-1, 555
Let -2*h**4/9 + 8*h**3/9 + 2*h**2/9 - 8*h/9 = 0. Calculate h.
-1, 0, 1, 4
What is n in n**4/3 - 40*n**3 + 1314*n**2 - 6840*n + 9747 = 0?
3, 57
Factor 3*i**5 - 108*i**4 + 858*i**3 + 2052*i**2 + 1083*i.
3*i*(i - 19)**2*(i + 1)**2
Solve b**4/4 - 5*b**3/2 + 29*b**2/4 - 2*b - 12 = 0.
-1, 3, 4
Solve -120*a**4 - 862*a**3/3 - 86*a**2 + 20*a + 16/3 = 0.
-2, -4/9, -1/5, 1/4
Find a, given that -5*a**5/4 + 3585*a**4/4 - 647955*a**3/4 + 1911715*a**2/4 + 3570*a - 637245 = 0.
-1, 2, 357
Factor -4*b**4/5 - 12*b**3 + 136*b**2/5.
-4*b**2*(b - 2)*(b + 17)/5
Factor -2*f**2/3 + 6*f - 16/3.
-2*(f - 8)*(f - 1)/3
Factor -t**5/2 - 2*t**4 - 2*t**3 + t**2 + 5*t/2 + 1.
-(t - 1)*(t + 1)**3*(t + 2)/2
Solve 4*a**2/5 + 228*a/5 + 224/5 = 0 for a.
-56, -1
Factor -2*p**3/3 - 772*p**2.
-2*p**2*(p + 1158)/3
Solve -8*j**4/3 + 14*j**3 - 80*j**2/3 + 22*j - 20/3 = 0.
1, 5/4, 2
Factor 4*c**2 + 380*c - 7104.
4*(c - 16)*(c + 111)
What is d in 2*d**2 - 1642*d = 0?
0, 821
Factor 36*w**2 - 542*w + 30.
2*(w - 15)*(18*w - 1)
Factor 5*s**3/3 - 20*s**2/3 - 445*s/3 - 140.
5*(s - 12)*(s + 1)*(s + 7)/3
Find p, given that 6*p**5/5 - 54*p**4/5 - 6462*p**3/5 + 73758*p**2/5 + 1767456*p/5 - 23704704/5 = 0.
-24, 19
Factor -3*k**2 + 3.
-3*(k - 1)*(k + 1)
Suppose 12*s**4 - 64*s**3 + 8*s**2 + 64*s - 20 = 0. What is s?
-1, 1/3, 1, 5
Factor -i**3/7 - 591*i**2/7 - 12600*i - 37044.
-(i + 3)*(i + 294)**2/7
Factor 4*v**5 + 1444*v**4 - 2904*v**3 + 8*v**2 + 2900*v - 1452.
4*(v - 1)**3*(v + 1)*(v + 363)
Factor -5*u**3 + 20*u**2 - 5*u - 30.
-5*(u - 3)*(u - 2)*(u + 1)
Factor -4000*z**2 + 240*z - 18/5.
-2*(100*z - 3)**2/5
Let l**5/7 - l**4 + 6*l**3/7 = 0. Calculate l.
0, 1, 6
Find s such that 2*s**3/3 - 40*s**2/3 - 134*s/3 - 92/3 = 0.
-2, -1, 23
Factor 21*q**2 + 1464*q/5 - 84/5.
3*(q + 14)*(35*q - 2)/5
Determine d, given that 2*d**4 - 63*d**3 + 146*d**2 - 27*d - 58 = 0.
-1/2, 1, 2, 29
Factor 4*g**3/7 - 26*g**2/7 + 48*g/7 - 18/7.
2*(g - 3)**2*(2*g - 1)/7
Factor f**4/2 + 25*f**3/2 - 3*f**2/2 - 77*f/2 - 25.
(f - 2)*(f + 1)**2*(f + 25)/2
Let -4*v**4 + 1528*v**3 - 147444*v**2 + 290320*v - 144400 = 0. Calculate v.
1, 190
Factor -3*s**4 - 20*s**3 - 11*s**2 + 6*s.
-s*(s + 1)*(s + 6)*(3*s - 1)
Factor -j**4 - 2*j**3 + 52*j**2 - 94*j + 45.
-(j - 5)*(j - 1)**2*(j + 9)
Factor 2*f**2/5 + 56*f/5 - 58/5.
2*(f - 1)*(f + 29)/5
Factor z**2/4 + 27*z/4 + 55/2.
(z + 5)*(z + 22)/4
Let 2*w**4 - 2*w**3 - 6*w**2 + 2*w + 4 = 0. What is w?
-1, 1, 2
Factor -b**2/8 + 73*b - 10658.
-(b - 292)**2/8
Factor 3*g**2 - 51*g + 48.
3*(g - 16)*(g - 1)
Factor -2*f**3 - 1110*f**2 - 153456*f + 154568.
-2*(f - 1)*(f + 278)**2
What is g in -2*g**5/3 + 10*g**4/3 - 16*g**3/3 + 8*g**2/3 = 0?
0, 1, 2
Factor 5*p**4 - 35*p**2 - 30*p.
5*p*(p - 3)*(p + 1)*(p + 2)
Find w, given that 3*w**5/4 + 11*w**4/2 - w**3/4 - 31*w**2 + 37*w - 12 = 0.
-6, -4, 2/3, 1
What is w in 2*w**4 + 4*w**3 - 14*w**2 - 16*w + 24 = 0?
-3, -2, 1, 2
Find h, given that 7*h**3/3 - 94*h**2 + 181*h - 268/3 = 0.
1, 268/7
Suppose 20*q**2 - 452*q - 184 = 0. What is q?
-2/5, 23
Factor -28*y**3 - 1728*y**2 + 4080*y - 1024.
-4*(y - 2)*(y + 64)*(7*y - 2)
Let -r**3/3 - 14*r**2/3 + r/3 + 14/3 = 0. Calculate r.
-14, -1, 1
Factor -3*s**2 + 14325*s - 14322.
-3*(s - 4774)*(s - 1)
Factor -4*p**4