f**5/4 - 11*f**4 + 261*f**3/2 - 189*f**2 - 1323*f/4 = 0. Calculate f.
-1, 0, 3, 21
Factor a**3/4 - 2091*a**2/4 + 1457427*a/4 - 338608873/4.
(a - 697)**3/4
Let -2*u**4 + 126*u**3/5 - 428*u**2/5 + 168*u/5 + 144/5 = 0. What is u?
-2/5, 1, 6
Factor 4*r**2 - 909*r + 227.
(r - 227)*(4*r - 1)
Solve -7*i**5/9 + 10*i**4/9 + 34*i**3/3 + 116*i**2/9 + i/9 - 10/3 = 0 for i.
-2, -1, 3/7, 5
Let 5*s**4 + 25*s**3 + 30*s**2 = 0. Calculate s.
-3, -2, 0
Factor 3*b**3 - 816*b**2 + 54663*b + 112614.
3*(b - 137)**2*(b + 2)
Factor -93845*m**3 - 91105*m**2 + 2720*m - 20.
-5*(m + 1)*(137*m - 2)**2
Suppose -4*v**2/3 - 1672*v - 524172 = 0. Calculate v.
-627
Suppose -4*f**4 + 47*f**3 + 16*f**2 - 47*f - 12 = 0. Calculate f.
-1, -1/4, 1, 12
Determine g so that 3*g**3/5 - 27*g**2/5 + 54*g/5 = 0.
0, 3, 6
Factor -3*r**2/2 + 1575*r/2 + 789.
-3*(r - 526)*(r + 1)/2
Factor 25*h**3 + 160*h**2 - 340*h - 160.
5*(h - 2)*(h + 8)*(5*h + 2)
Factor -v**3/4 + 53*v**2/2.
-v**2*(v - 106)/4
Factor -2*n**2/15 + 24*n/5 - 14/3.
-2*(n - 35)*(n - 1)/15
Suppose 5*d**2 + 180*d - 3185 = 0. What is d?
-49, 13
Find m, given that 2*m**5/9 - 10*m**4/3 + 16*m**3 - 24*m**2 = 0.
0, 3, 6
Determine u, given that 3*u**4/7 + 102*u**3/7 + 120*u**2 - 918*u/7 - 7803/7 = 0.
-17, -3, 3
Factor -2*m**3/9 - 202*m**2/9 + 2*m/9 + 202/9.
-2*(m - 1)*(m + 1)*(m + 101)/9
Factor 4*o**3 + 72*o**2 + 348*o + 440.
4*(o + 2)*(o + 5)*(o + 11)
Factor b**3/4 + 3*b**2 - b/4 - 3.
(b - 1)*(b + 1)*(b + 12)/4
Factor u**5/3 - u**4 - 4*u**3/3.
u**3*(u - 4)*(u + 1)/3
Factor -2*d**2 + 324*d - 13122.
-2*(d - 81)**2
Factor -2*x**2 - 230*x + 708.
-2*(x - 3)*(x + 118)
Factor 7*d**4/6 - 81*d**3/2 - 161*d**2/3 - 12*d.
d*(d - 36)*(d + 1)*(7*d + 2)/6
Suppose c**3/3 + 143*c**2/3 - 293*c/3 - 145 = 0. Calculate c.
-145, -1, 3
Suppose -90*i**2/13 - 18*i/13 + 4/13 = 0. What is i?
-1/3, 2/15
Find v such that -4*v**3 - 476*v**2 - 13420*v + 44652 = 0.
-61, 3
Let 2*v**3/3 + 680*v**2/3 + 19712*v + 75264 = 0. Calculate v.
-168, -4
What is y in 12*y**5 + 18*y**4 - 453*y**3/4 + 147*y**2/4 + 81*y/2 + 6 = 0?
-4, -1/4, 1, 2
Factor f**2/5 - f - 24/5.
(f - 8)*(f + 3)/5
Factor -3*o**2 + 66*o.
-3*o*(o - 22)
Factor 50*w**4/9 + 23560*w**3/3 + 24964172*w**2/9 - 3331384*w/3 + 999698/9.
2*(w + 707)**2*(5*w - 1)**2/9
Factor s**3/2 - 177*s**2 - 355*s/2.
s*(s - 355)*(s + 1)/2
Let -3*w**4 + 45*w**3 + 654*w**2 + 2304*w + 2400 = 0. Calculate w.
-4, -2, 25
Determine c, given that 3*c**5 + 705*c**4 - 2850*c**3 + 4290*c**2 - 2865*c + 717 = 0.
-239, 1
Determine v so that -v**5/8 - v**4/8 + 3*v**3/2 + 7*v**2/2 + 2*v = 0.
-2, -1, 0, 4
Factor -3*f**4 + 27*f**3 - 81*f**2 + 93*f - 36.
-3*(f - 4)*(f - 3)*(f - 1)**2
Determine b, given that -2*b**4/3 + 2*b**3 + 2*b**2 - 14*b/3 - 4 = 0.
-1, 2, 3
Let o**3 - 116*o**2 + 115*o = 0. Calculate o.
0, 1, 115
Factor 2*i**3/13 + 16*i**2/13 - 40*i/13.
2*i*(i - 2)*(i + 10)/13
Factor -194*y**3 + 376*y**2 - 170*y - 12.
-2*(y - 1)**2*(97*y + 6)
Determine d so that 2*d**5/3 - 2*d**4 - 10*d**3/3 + 2*d**2 + 8*d/3 = 0.
-1, 0, 1, 4
Determine d, given that 4*d**3 - 644*d**2 - 648*d = 0.
-1, 0, 162
Factor 2*l**2/7 + 60*l/7 - 62/7.
2*(l - 1)*(l + 31)/7
Factor 4*z**2 + 248*z + 244.
4*(z + 1)*(z + 61)
Find m, given that -2*m**2/9 - 5692*m/9 - 4049858/9 = 0.
-1423
Factor 3*h**3 - 84*h**2 + 396*h.
3*h*(h - 22)*(h - 6)
Determine r, given that r**2/6 + 194*r/3 + 18818/3 = 0.
-194
Determine n, given that -4761*n**5/5 - 897*n**4 + 272*n**3/5 - 4*n**2/5 = 0.
-1, 0, 2/69
Factor j**4/5 + 148*j**3 - 742*j**2/5 - 148*j + 741/5.
(j - 1)**2*(j + 1)*(j + 741)/5
Factor 4*c**2 + 756*c.
4*c*(c + 189)
Suppose 2*f**5 - 2*f**4 - 8*f**3 + 8*f**2 = 0. What is f?
-2, 0, 1, 2
Let -r**3/3 + 3*r**2 - 20*r/3 = 0. Calculate r.
0, 4, 5
Factor -m**4/3 + 13*m**3/3 + 44*m**2 + 176*m/3 - 320/3.
-(m - 20)*(m - 1)*(m + 4)**2/3
Solve -3*f**5 - 228*f**4 - 5616*f**3 - 40560*f**2 + 105456*f = 0 for f.
-26, 0, 2
Find q such that -32*q**5/11 + 4688*q**4/11 - 153218*q**3/11 - 123060*q**2 - 242550*q = 0.
-15/4, 0, 77
Let 19*s**5 + 97*s**4 - 9*s**3 - 97*s**2 - 10*s = 0. What is s?
-5, -1, -2/19, 0, 1
Solve -2*f**2/3 - 28*f - 370/3 = 0 for f.
-37, -5
What is u in 5*u**3 - 35*u - 30 = 0?
-2, -1, 3
Factor x**2 - 15*x - 216.
(x - 24)*(x + 9)
Factor -o**4/5 - 7*o**3 - 379*o**2/5 - 249*o - 180.
-(o + 1)*(o + 4)*(o + 15)**2/5
Factor -m**2 + 3*m - 2.
-(m - 2)*(m - 1)
Factor -c**3/3 - 3*c**2 - 5*c - 7/3.
-(c + 1)**2*(c + 7)/3
Find s such that s**4/4 - 3*s**3 - 143*s**2/4 + 87*s/2 + 76 = 0.
-8, -1, 2, 19
Factor 2*l**2/15 - 88*l/15 - 6.
2*(l - 45)*(l + 1)/15
Find y such that -2*y**3/7 - 62*y**2/7 - 110*y/7 + 174/7 = 0.
-29, -3, 1
Factor -5*o**3/2 - 110*o**2 - 1210*o.
-5*o*(o + 22)**2/2
Factor -v**5/3 - 18*v**4 - 254*v**3/3 - 448*v**2/3 - 115*v - 98/3.
-(v + 1)**3*(v + 2)*(v + 49)/3
Determine m, given that -288*m**5/11 - 640*m**4/11 - 398*m**3/11 - 24*m**2/11 + 26*m/11 + 4/11 = 0.
-1, -1/4, -2/9, 1/4
Determine y so that 48*y**4/5 + 5618*y**3/5 + 167284*y**2/5 + 169592*y/5 + 40368/5 = 0.
-58, -2/3, -3/8
Factor 3*n**5 + 15*n**4 + 18*n**3 - 12*n**2 - 24*n.
3*n*(n - 1)*(n + 2)**3
Solve -2*c**5 - 432*c**4 - 24872*c**3 - 154848*c**2 + 931840*c - 1038336 = 0.
-104, -12, 2
Let -23276*y**3 + 89240*y**2 - 93072*y + 14112 = 0. Calculate y.
2/11, 42/23
Solve -2*l**2/17 + 118*l/17 + 120/17 = 0 for l.
-1, 60
Factor -4*m**5 - 4*m**4 + 20*m**3 - 12*m**2.
-4*m**2*(m - 1)**2*(m + 3)
Let -3*j**4 - 5064*j**3 - 2131938*j**2 + 4279080*j - 2142075 = 0. What is j?
-845, 1
Find y such that -6*y**2 - 182*y - 60 = 0.
-30, -1/3
Let -6*l**2/19 + 202*l/19 - 132/19 = 0. What is l?
2/3, 33
Find b, given that b**3 - 26*b**2 - 56*b = 0.
-2, 0, 28
Factor 6*l**3/5 + 24*l**2/5 - 114*l/5 + 84/5.
6*(l - 2)*(l - 1)*(l + 7)/5
Factor p**3/8 - 9*p**2/8 + 7*p/4.
p*(p - 7)*(p - 2)/8
Determine y, given that -4*y**4 + 40*y**3 + 352*y**2 - 808*y + 420 = 0.
-7, 1, 15
Suppose -2*c**3/3 - 764*c**2/3 + 2306*c/3 - 1540/3 = 0. Calculate c.
-385, 1, 2
Let -2*z**2/11 + 4792*z/11 - 2870408/11 = 0. What is z?
1198
Factor 5*b**2 - 10*b - 40.
5*(b - 4)*(b + 2)
Factor -15*l**3 - 66*l**2 + 51*l + 30.
-3*(l - 1)*(l + 5)*(5*l + 2)
Suppose 4*f**4 - 12*f**3 + 4*f**2 + 12*f - 8 = 0. What is f?
-1, 1, 2
Determine j, given that -3*j**2 - 23016*j - 44144688 = 0.
-3836
Solve 4*i**3/3 + 61*i**2/3 - 49*i/3 - 16/3 = 0.
-16, -1/4, 1
Let 2*l**3/5 - 26*l**2/5 - 32*l/5 + 56/5 = 0. What is l?
-2, 1, 14
Factor 3*f**4 + 960*f**3 + 79626*f**2 + 452160*f + 665523.
3*(f + 3)**2*(f + 157)**2
Find u, given that 16*u**5 - 3492*u**4 - 6184*u**3 + 5252*u**2 + 6168*u - 1760 = 0.
-2, -1, 1/4, 1, 220
What is m in 4*m**4 - 71*m**3 + 114*m**2 - 31*m - 16 = 0?
-1/4, 1, 16
Find o, given that o**5/7 - 18*o**4/7 + 113*o**3/7 - 304*o**2/7 + 48*o - 128/7 = 0.
1, 4, 8
Let 9*l**4 + 96*l**3 - 906*l**2 + 1056*l - 255 = 0. What is l?
-17, 1/3, 1, 5
What is l in 2*l**2/3 + 100*l/3 + 800/3 = 0?
-40, -10
Factor n**3 - 23*n**2 - 657*n - 3321.
(n - 41)*(n + 9)**2
Solve f**5 + 5*f**4 - 39*f**3 - 13*f**2 + 118*f - 72 = 0 for f.
-9, -2, 1, 4
Determine b so that -2*b**5/3 + 16*b**4/3 + 10*b**3/3 - 80*b**2/3 - 8*b/3 + 64/3 = 0.
-2, -1, 1, 2, 8
Solve 6*b**4/7 + 16*b**3/7 + 32*b**2/21 = 0 for b.
-4/3, 0
Factor -49*f**2/9 + 644*f/3 - 2116.
-(7*f - 138)**2/9
Find n, given that -n**4/5 - 3*n**3/5 + 2*n**2 = 0.
-5, 0, 2
Solve 4*c**4 + 200*c**3 - 848*c**2 + 864*c = 0 for c.
-54, 0, 2
Find v such that v**3/4 - 213*v**2/2 - 429*v - 430 = 0.
-2, 430
Determine d, given that -2*d**2 + 18*d - 28 = 0.
2, 7
Suppose 2*p**4/11 + 218*p**3/11 + 1630*p**2/11 + 1414*p/11 = 0. Calculate p.
-101, -7, -1, 0
Solve -4*y**4 + 1808*y**3 - 206104*y**2 + 406800*y - 202500 = 0 for y.
1, 225
Factor -2*d**5/11 - 284*d**4/11 - 282*d**3/11.
-2*d**3*(d + 1)*(d + 141)/11
Find t, given that t**2 - 24*t + 144 = 0.
12
Suppose 6*z**2/5 + 822*z/5 - 828/5 = 0. What is z?
-138, 1
Find s such that 2*s**2/5 - 648*s/5 - 130 = 0.
-1, 325
Let a**3/2 + 29*a**2/2 - 61*a/2 + 31/2 = 0. What is a?
-31, 1
Find s such that s**5/3 + 5*s**4/3 - 7*s**3/3 - 29*s**2/3 + 10*s = 0.
-5, -3, 0, 1, 2
Find h, given that 2*h**5/3 + 20*h**4/3 + 22*h**3/3 - 164*h**2/3 - 8*h + 48 = 0.
-6, -1, 1, 2
Factor r**5/7 + 9*r**4/7 + 25*r**3/7 + 27*r**2/7 + 10*r/7.
r*(r + 1)**2*(r + 2)*(r + 5)/7
Factor d**2/2 + 46*d + 435/2.
(d + 5)*(d + 87)/2
Suppose 2*o**4/5 + 3708*o**3/5 + 2291544*o**2/5 + 472058064*o/5 = 0