or k**3 - 89*k**2 + 88*k.
k*(k - 88)*(k - 1)
Determine r so that -11580*r**5 - 68395*r**4 - 96755*r**3 + 15485*r**2 + 8535*r - 90 = 0.
-3, -1/4, 2/193, 1/3
Factor -2*o**3 - 814*o**2 + 1634*o - 818.
-2*(o - 1)**2*(o + 409)
Factor -4*j**4 - 72*j**3 - 192*j**2 + 2560*j + 12288.
-4*(j - 6)*(j + 8)**3
Factor -2*w**2/3 - 3070*w/3.
-2*w*(w + 1535)/3
Solve 2*q**3 + 1592*q**2 - 1594*q = 0.
-797, 0, 1
Factor 4*f**4 - 764*f**3.
4*f**3*(f - 191)
Factor -2*l**5/21 - 26*l**4/21 - 92*l**3/21 + 20*l**2/21 + 50*l/3 - 250/21.
-2*(l - 1)**2*(l + 5)**3/21
Suppose 2*t**2 - 3716*t + 1726082 = 0. Calculate t.
929
Find o, given that 2*o**2/5 - 26*o/5 + 24/5 = 0.
1, 12
Factor 20*d**4 + 1228*d**3 + 2796*d**2 - 2124*d.
4*d*(d + 3)*(d + 59)*(5*d - 3)
Factor -h**4/5 + 29*h**3 - 5014*h**2/5 - 19092*h/5 + 98568/5.
-(h - 74)**2*(h - 3)*(h + 6)/5
Determine m, given that -126*m**5/11 - 4544*m**4/11 + 9296*m**3/11 + 896*m**2/11 - 608*m/11 = 0.
-38, -2/7, 0, 2/9, 2
Factor -2*n**2/15 - 12*n/5 + 96/5.
-2*(n - 6)*(n + 24)/15
Factor -l**4/4 - 3*l**3/2 - 9*l**2/4 - l.
-l*(l + 1)**2*(l + 4)/4
Find x such that -2*x**4 - 30*x**3 + 84*x**2 + 272*x = 0.
-17, -2, 0, 4
Factor -12*u**2 - 1239*u + 5148.
-3*(u - 4)*(4*u + 429)
What is o in 5*o**4 + 225*o**3 - 15635*o**2 + 173775*o + 189630 = 0?
-86, -1, 21
Determine c so that -7*c**2/2 + 9*c - 4 = 0.
4/7, 2
Factor 5*o**3 + 70*o**2 + 175*o + 110.
5*(o + 1)*(o + 2)*(o + 11)
Find f such that f**4 - 151*f**3 + 447*f**2 - 445*f + 148 = 0.
1, 148
Suppose -5*d**4 + 200*d**3 + 7365*d**2 - 7560*d = 0. What is d?
-24, 0, 1, 63
Factor 3*q**2/7 + 2766*q/7.
3*q*(q + 922)/7
What is w in w**5/6 + 25*w**4/6 - 55*w**3/3 + 85*w**2/3 - 115*w/6 + 29/6 = 0?
-29, 1
Suppose -84*t**4 + 213*t**3 - 96*t**2 + 12*t = 0. Calculate t.
0, 1/4, 2/7, 2
Factor -88*c**2 + 92*c - 4.
-4*(c - 1)*(22*c - 1)
What is r in r**2/3 + r/3 = 0?
-1, 0
Let 21*x**3/2 + 78*x**2 - 105*x/2 - 36 = 0. What is x?
-8, -3/7, 1
Suppose 4*r**5 - 4*r**4 - 24*r**3 - 8*r**2 + 20*r + 12 = 0. What is r?
-1, 1, 3
Let 2*z**3 + 176*z**2 + 1312*z + 2560 = 0. What is z?
-80, -4
Factor k**2/4 - 11*k/2 + 24.
(k - 16)*(k - 6)/4
Factor 11414642*h**2/3 - 19112*h/3 + 8/3.
2*(2389*h - 2)**2/3
Factor 2*m**2/13 + 62*m/13 + 116/13.
2*(m + 2)*(m + 29)/13
Factor 4*m**4 + 1336*m**3 + 112880*m**2 + 220448*m.
4*m*(m + 2)*(m + 166)**2
Determine i, given that 2*i**4/15 - 756*i**3/5 + 214326*i**2/5 = 0.
0, 567
Let -2*g**5/5 - 52*g**4/5 - 24*g**3 + 404*g**2/5 - 46*g = 0. What is g?
-23, -5, 0, 1
Factor -w**3 + 12*w**2 - 45*w + 50.
-(w - 5)**2*(w - 2)
What is s in -s**4/5 + 14*s**3/5 + 59*s**2 + 1432*s/5 + 432 = 0?
-5, -4, 27
Find f, given that 2*f**2/3 - 112*f/3 = 0.
0, 56
Factor 3*j**3 - 116*j**2 + 484*j - 272.
(j - 34)*(j - 4)*(3*j - 2)
Factor -3*z**2 - 13206*z - 14533203.
-3*(z + 2201)**2
Factor -11*l**3/4 - l**2 + 9*l.
-l*(l + 2)*(11*l - 18)/4
Factor -3*o**2 + 1110*o + 2232.
-3*(o - 372)*(o + 2)
Factor 3*r**4 - 201*r**3 - 2007*r**2 - 3399*r - 1596.
3*(r - 76)*(r + 1)**2*(r + 7)
Factor -3*k**4 - 78*k**3 - 756*k**2 - 3234*k - 5145.
-3*(k + 5)*(k + 7)**3
Factor -2*t**4 - 22*t**3 + 24*t**2 + 512*t - 512.
-2*(t - 4)*(t - 1)*(t + 8)**2
Factor 2*p**3/9 + 68*p**2/3 + 504*p - 3888.
2*(p - 6)*(p + 54)**2/9
Let 3*v**3 + 18*v**2 - 648*v = 0. Calculate v.
-18, 0, 12
Factor -c**2/4 - 77*c/4 - 19.
-(c + 1)*(c + 76)/4
Solve -f**2/3 + 12 = 0 for f.
-6, 6
Find f, given that -16*f**4 + 140*f**3 - 176*f**2 - 164*f + 168 = 0.
-1, 3/4, 2, 7
Let 2*o**4/13 - 64*o**3/13 + 418*o**2/13 + 484*o/13 = 0. What is o?
-1, 0, 11, 22
Factor 3*s**5 + 33*s**4 + 138*s**3 + 276*s**2 + 264*s + 96.
3*(s + 1)*(s + 2)**3*(s + 4)
Solve -20*y**2 - 728*y + 444 = 0.
-37, 3/5
Factor -2*m**3/7 - 4*m**2 - 26*m/7.
-2*m*(m + 1)*(m + 13)/7
Let 18*v**4 + 84*v**3 - 176*v**2 - 448*v/3 + 256 = 0. What is v?
-6, -4/3, 4/3
Solve -g**3/2 + 634*g**2 - 400685*g/2 - 403225 = 0 for g.
-2, 635
Factor -2*l**3/13 - 166*l**2/13 - 164*l/13.
-2*l*(l + 1)*(l + 82)/13
Solve -5*n**3 + 115*n**2 - 510*n = 0 for n.
0, 6, 17
Factor -i**2/4 + 81*i/2 - 6561/4.
-(i - 81)**2/4
Suppose -3*i**4/5 - 102*i**3/5 - 288*i**2/5 + 11718*i/5 + 11907/5 = 0. What is i?
-21, -1, 9
Let 4*k**2 - 12*k - 16 = 0. What is k?
-1, 4
Factor p**3/2 - 87*p**2/2 + 828*p - 4536.
(p - 63)*(p - 12)**2/2
Suppose -2*h**2/7 + 5374*h/7 = 0. Calculate h.
0, 2687
What is o in -1881*o**3 + 3756*o**2 - 1869*o - 6 = 0?
-2/627, 1
Let 18*k**4/5 - 401*k**3/5 + 297*k**2/5 + 86*k/5 = 0. Calculate k.
-2/9, 0, 1, 43/2
Factor 2*w**3/9 - 128*w**2/9 + 14*w.
2*w*(w - 63)*(w - 1)/9
Let -v**4 - 22*v**3 + 25*v**2 + 46*v = 0. Calculate v.
-23, -1, 0, 2
Suppose 5*a**5 - 150*a**4 - 5*a**3 + 150*a**2 = 0. What is a?
-1, 0, 1, 30
Solve 2*a**3 + 4512*a**2 + 3393024*a + 850518016 = 0 for a.
-752
Factor y**3/5.
y**3/5
Factor -5*l**2/4 + 85*l/4 - 105/2.
-5*(l - 14)*(l - 3)/4
Factor -2*n**3/3 - 226*n**2/3 - 446*n/3 - 74.
-2*(n + 1)**2*(n + 111)/3
Factor -r**4/5 + 351*r**3/5 + 352*r**2/5.
-r**2*(r - 352)*(r + 1)/5
Factor -3*p**5/2 + 51*p**4/2 - 45*p**3.
-3*p**3*(p - 15)*(p - 2)/2
Factor 2*s**4/5 + 16*s**3/5 + 44*s**2/5 + 48*s/5 + 18/5.
2*(s + 1)**2*(s + 3)**2/5
Let -5*l**5/4 + 135*l**4/4 - 235*l**3/2 + 105*l**2/2 + 475*l/4 - 345/4 = 0. What is l?
-1, 1, 3, 23
Factor -8*n**4/3 - 3876*n**3 - 5810*n**2 - 8713*n/3 - 484.
-(n + 1452)*(2*n + 1)**3/3
Suppose 15*b**3 + 9*b**2 - 2736*b + 1092 = 0. What is b?
-14, 2/5, 13
Factor w**3 - 99*w**2 - w + 99.
(w - 99)*(w - 1)*(w + 1)
Find h such that h**4/2 + 2*h**3 - 13*h**2/2 - 20*h + 24 = 0.
-4, 1, 3
Factor 10*x**3 + 92*x**2.
2*x**2*(5*x + 46)
Factor -w**4/4 - 4*w**3.
-w**3*(w + 16)/4
Let -4*q**4 + 52*q**3 + 48*q**2 - 688*q + 832 = 0. Calculate q.
-4, 2, 13
Factor -4*t**4 + 32*t**3 - 20*t**2 - 152*t - 96.
-4*(t - 6)*(t - 4)*(t + 1)**2
Let -q**4/2 + 3*q**3/2 + 63*q**2/2 - 67*q/2 - 63 = 0. Calculate q.
-7, -1, 2, 9
Factor 2*b**4/5 - 14*b**3 + 816*b**2/5 - 3168*b/5.
2*b*(b - 12)**2*(b - 11)/5
Let -4*l**2 - 8*l - 4 = 0. What is l?
-1
Factor -2*d**3 - 20*d**2 - 66*d - 72.
-2*(d + 3)**2*(d + 4)
Solve -4*d**4 - 4*d**3 + 44*d**2 + 36*d - 72 = 0 for d.
-3, -2, 1, 3
Suppose -q**2/12 - 131*q/12 + 11 = 0. What is q?
-132, 1
Suppose u**2/5 + 14*u + 245 = 0. What is u?
-35
Factor -3*n**3 + 3*n**2 + 72*n + 108.
-3*(n - 6)*(n + 2)*(n + 3)
Determine a so that a**4 + 20*a**3 + 17*a**2 - 38*a = 0.
-19, -2, 0, 1
Factor 3*c**2/8 - 15*c/2 + 24.
3*(c - 16)*(c - 4)/8
Factor 5*k**2 + 415*k - 12190.
5*(k - 23)*(k + 106)
Determine f, given that 3*f**4 - 99*f**3 + 774*f**2 - 2004*f + 1656 = 0.
2, 6, 23
Factor -5*r**4 + 35*r**3 + 10*r**2 - 300*r + 360.
-5*(r - 6)*(r - 2)**2*(r + 3)
Factor 2*q**4 - 5670*q**3 + 5358150*q**2 - 1687817250*q.
2*q*(q - 945)**3
Factor -l**3/4 - 97*l**2/2 + 98*l.
-l*(l - 2)*(l + 196)/4
Find j such that 47*j**5/6 - 139*j**4/6 - 237*j**3/2 - 829*j**2/6 - 158*j/3 - 2 = 0.
-1, -2/47, 6
Find q, given that 5*q**4 + 15*q**3 - 5*q**2 - 15*q = 0.
-3, -1, 0, 1
Solve 30*k**5 - 207*k**4 + 393*k**3 - 156*k**2 - 108*k + 48 = 0 for k.
-1/2, 2/5, 1, 2, 4
Suppose 3*g**2 + 16*g - 12 = 0. What is g?
-6, 2/3
Solve 4*h**2 + 136*h + 756 = 0.
-27, -7
Factor -19321*r**3/2 - 139*r**2 - r/2.
-r*(139*r + 1)**2/2
Determine h so that 2*h**4 + 47*h**3/5 + 44*h**2/5 - 23*h/5 - 6/5 = 0.
-3, -2, -1/5, 1/2
Factor -3*b**4/7 - 600*b**3/7 - 40392*b**2/7 - 940896*b/7 - 1724976/7.
-3*(b + 2)*(b + 66)**3/7
Suppose 2*h**5/5 + 16*h**4/5 + 24*h**3/5 - 44*h**2/5 - 58*h/5 + 12 = 0. What is h?
-5, -3, -2, 1
Let u**5/9 - 98*u**4/9 + 97*u**3/9 = 0. What is u?
0, 1, 97
Let 2*u**2 - 318*u - 320 = 0. Calculate u.
-1, 160
What is k in k**2 + 66*k = 0?
-66, 0
What is g in -4*g**4 + 68*g**3 - 176*g**2 + 112*g = 0?
0, 1, 2, 14
Factor 2*x**3/11 - 14*x**2 - 314*x/11 - 158/11.
2*(x - 79)*(x + 1)**2/11
Let 5*t**5 - 1100*t**4 + 81030*t**3 - 2025020*t**2 + 1945085*t = 0. Calculate t.
0, 1, 73
Factor -5*y**3 - 2050*y**2 - 214165*y - 824180.
-5*(y + 4)*(y + 203)**2
Determine n, given that 21*n**5/2 - 2055*n**4 + 134547*n**3 - 2978040*n**2 + 4043325*n/2 + 823875 = 0.
-2/7, 1, 65
Determine l so that 4*l**2 - 752*l + 4368 = 0.
6, 182
Determine a so that 2*a**5/5 + 22*a**4/5 + 8*a**3/5 - 128*a**2/5 - 64*a/5 + 32 = 0.
-10, -2, 1, 2
What is c in -3*c**4 - 17*c**3 - 34*c**2 - 28*c - 8 = 0?
-2, -1, -2/3
Determine c so that -9*c**3 + 6306*c**2 - 1106700*c + 735000 = 0.
2/3, 350
Factor 3*k**2/2 + 2