 - 15)**2
What is s in s**5/6 - 5*s**4/4 - 17*s**3/6 + 57*s**2/4 + 71*s/3 + 8 = 0?
-3, -1, -1/2, 4, 8
Factor -7*z**4/3 - 16*z**3/3 - 4*z**2/3.
-z**2*(z + 2)*(7*z + 2)/3
Let 3*s**4/2 - 9*s**3/2 = 0. What is s?
0, 3
Let 5*h**3 + 83*h**2 - 124*h + 36 = 0. Calculate h.
-18, 2/5, 1
Factor 2*o**3 - 18*o**2 - 24*o + 40.
2*(o - 10)*(o - 1)*(o + 2)
Factor -v**4/10 - 76*v**3/5 - 576*v**2/5.
-v**2*(v + 8)*(v + 144)/10
Factor m**4 - 5*m**3 - 12*m**2 + 80*m - 64.
(m - 4)**2*(m - 1)*(m + 4)
Factor -j**2/4 - 1807*j/2 - 3265249/4.
-(j + 1807)**2/4
Factor b**4/3 + 19*b**3/3 - 9*b**2 - 189*b - 342.
(b - 6)*(b + 3)**2*(b + 19)/3
Suppose -2*q**5 + 2*q**4 + 2*q**3 - 2*q**2 = 0. What is q?
-1, 0, 1
Find v such that -4*v**2 + 932*v - 4560 = 0.
5, 228
Factor 2*o**4 - 68*o**3 - 142*o**2 - 72*o.
2*o*(o - 36)*(o + 1)**2
What is l in l**5 + 12*l**4 + 33*l**3 - 38*l**2 - 132*l - 72 = 0?
-6, -1, 2
What is u in -2*u**3/3 - 484*u**2/3 - 1912*u/3 - 1904/3 = 0?
-238, -2
Factor 2*w**4/9 + 34*w**3/9 + 20*w**2 + 24*w - 48.
2*(w - 1)*(w + 6)**3/9
Determine g so that -14*g**3/9 + 50*g**2/3 - 32*g/3 - 40/9 = 0.
-2/7, 1, 10
Determine t, given that -36*t**5 - 140*t**4 + 268*t**3 + 332*t**2 - 40*t = 0.
-5, -1, 0, 1/9, 2
Suppose -14*n**4 + 5380*n**3 - 689664*n**2 + 29556736*n - 8388608 = 0. Calculate n.
2/7, 128
Factor -2*h**3/7 + 458*h**2/7 - 3434*h - 36414.
-2*(h - 119)**2*(h + 9)/7
Find k such that -3*k**3 + 54*k**2 + 27*k - 486 = 0.
-3, 3, 18
Find v such that -2*v**3 + 2258*v**2 + 9056*v + 9064 = 0.
-2, 1133
Factor -2*q**2/13 - 4*q/13 + 336/13.
-2*(q - 12)*(q + 14)/13
Factor 2*d**3/7 + 180*d**2/7 + 3778*d/7 - 3960/7.
2*(d - 1)*(d + 36)*(d + 55)/7
Factor -3*t**3/7 + 171*t**2/7 - 360*t + 336.
-3*(t - 28)**2*(t - 1)/7
Suppose w**5/7 + 39*w**4/7 + 360*w**3/7 - 400*w**2/7 = 0. What is w?
-20, 0, 1
Let y**2/4 + 7*y/2 - 275/4 = 0. What is y?
-25, 11
Suppose b**4/3 + 7*b**3/3 - 4*b**2/3 - 28*b/3 = 0. Calculate b.
-7, -2, 0, 2
Suppose -c**4/3 + 3*c**3 + 10*c**2/3 = 0. What is c?
-1, 0, 10
Factor 2*x**2/13 - 38*x/13 + 96/13.
2*(x - 16)*(x - 3)/13
Determine t so that 5*t**2 + 410*t + 1925 = 0.
-77, -5
Suppose n**5 + 6*n**4 - 68*n**3 + 54*n**2 + 67*n - 60 = 0. Calculate n.
-12, -1, 1, 5
Factor -q**3 + 19*q**2 - 16*q - 36.
-(q - 18)*(q - 2)*(q + 1)
Let -4*p**3 + 124*p**2 - 120*p = 0. What is p?
0, 1, 30
Determine x, given that 4*x**4 + 18*x**3 - 232*x**2 - 1272*x - 576 = 0.
-6, -1/2, 8
Factor -5*z**3 - 60*z**2 + 5*z + 660.
-5*(z - 3)*(z + 4)*(z + 11)
Let -2*z**2/5 + 98*z/5 + 20 = 0. Calculate z.
-1, 50
Factor t**2/3 + 200*t/3 + 10000/3.
(t + 100)**2/3
Factor 2*d**2/7 - 6*d + 136/7.
2*(d - 17)*(d - 4)/7
Suppose -20*m**5 - 155*m**4 + 560*m**3 + 3230*m**2 + 1860*m - 675 = 0. What is m?
-9, -3, -1, 1/4, 5
Factor m**2/5 + 3*m/5 + 2/5.
(m + 1)*(m + 2)/5
Find s, given that 2*s**2 + 296*s + 10952 = 0.
-74
Factor 4*l**2 - 4*l - 24.
4*(l - 3)*(l + 2)
Factor f**2 + 14*f + 45.
(f + 5)*(f + 9)
Let 9*l**2/7 + 39*l + 90/7 = 0. What is l?
-30, -1/3
Suppose 2*i**2 - 772*i + 74498 = 0. What is i?
193
Factor 16*h**3 - 380*h**2 + 628*h - 264.
4*(h - 22)*(h - 1)*(4*h - 3)
Solve -2*q**2/15 + 26*q/15 - 24/5 = 0.
4, 9
Factor -5*m**2 - 145*m - 140.
-5*(m + 1)*(m + 28)
Factor -27*g**5/2 - 9*g**4/2 + 15*g**3/2 - 3*g**2/2.
-3*g**2*(g + 1)*(3*g - 1)**2/2
Find s such that -2*s**3 - 20*s**2 + 2*s + 20 = 0.
-10, -1, 1
Factor p**3/3 + p**2 - 4*p/3.
p*(p - 1)*(p + 4)/3
Factor 4*n**5/7 + 356*n**4/7 + 2040*n**3/7 + 4016*n**2/7 + 2656*n/7.
4*n*(n + 2)**3*(n + 83)/7
Factor -2*j**2/3 + 68*j/3 - 128/3.
-2*(j - 32)*(j - 2)/3
Find s, given that -s**2/9 - 12*s - 324 = 0.
-54
Suppose 26*a**3/7 - 12*a**2/7 - 54*a/7 + 40/7 = 0. Calculate a.
-20/13, 1
Suppose -2*p**3/5 + 58*p**2/5 - 78*p - 90 = 0. What is p?
-1, 15
Let -4*d**3 - 24*d**2 - 48*d - 32 = 0. Calculate d.
-2
Find f, given that -4*f**2 + 896*f - 2652 = 0.
3, 221
Suppose 2*v**5/13 + 58*v**4/13 - 122*v**3/13 + 62*v**2/13 = 0. Calculate v.
-31, 0, 1
Find i, given that i**4/3 + 17*i**3/3 + 91*i**2/3 + 49*i = 0.
-7, -3, 0
Factor -2*w**2 - 226*w.
-2*w*(w + 113)
Suppose f**2/6 - 7487*f/3 + 56055169/6 = 0. Calculate f.
7487
Suppose 115*t**3 + 2310*t**2 = 0. What is t?
-462/23, 0
Determine u so that -5*u**2 - 260*u = 0.
-52, 0
Factor p**2/5 - 178*p/5 - 179/5.
(p - 179)*(p + 1)/5
Suppose s**2/6 - 49*s/6 - 17 = 0. What is s?
-2, 51
What is f in -2*f**5/15 + 14*f**4/15 - 38*f**3/15 + 10*f**2/3 - 32*f/15 + 8/15 = 0?
1, 2
Suppose -c**2/5 + 3*c + 76/5 = 0. What is c?
-4, 19
Factor -x**2/9 + 33*x - 296/9.
-(x - 296)*(x - 1)/9
Determine x, given that 10*x**3 + 22*x**2 - 4*x - 16 = 0.
-2, -1, 4/5
Factor 3*d**3 - 804*d**2 + 56940*d - 405600.
3*(d - 130)**2*(d - 8)
Factor 4*b**3/7 - 1084*b**2/7.
4*b**2*(b - 271)/7
Let -5*q**2 + 3330*q - 554445 = 0. What is q?
333
Determine u, given that -3*u**4 + 14*u**3 - 19*u**2 + 4*u + 4 = 0.
-1/3, 1, 2
Find d, given that d**3 + 434*d**2 + 2989*d = 0.
-427, -7, 0
Factor -g**5 + 4*g**3.
-g**3*(g - 2)*(g + 2)
Factor v**2/3 + 6*v + 24.
(v + 6)*(v + 12)/3
Factor 2*x**5 - 22*x**4 + 84*x**3 - 128*x**2 + 64*x.
2*x*(x - 4)**2*(x - 2)*(x - 1)
Factor -2*b**3 + 86*b**2 - 880*b - 968.
-2*(b - 22)**2*(b + 1)
Determine u, given that 5*u**3 - 15*u**2 = 0.
0, 3
Find s, given that -s**2/2 - 168*s - 14112 = 0.
-168
What is b in 2*b**5/5 - 34*b**4/5 + 136*b**3/5 - 40*b**2 + 96*b/5 = 0?
0, 1, 2, 12
Factor -d**3 - 39*d**2 + 265*d - 225.
-(d - 5)*(d - 1)*(d + 45)
Find x, given that x**5/5 - 24*x**4/5 - 204*x**3/5 + 2384*x**2/5 + 1536*x - 64512/5 = 0.
-8, 6, 28
Factor -3*p**3/5 - 621*p**2/5 - 3042*p/5 - 2424/5.
-3*(p + 1)*(p + 4)*(p + 202)/5
Factor -3*w**4 - 12*w**3 + 81*w**2 + 486*w + 648.
-3*(w - 6)*(w + 3)**2*(w + 4)
Find b such that -3*b**3 + 1020*b**2 - 83559*b - 538722 = 0.
-6, 173
Factor 3*z**2/8 + 1089*z/4 + 395307/8.
3*(z + 363)**2/8
Find y, given that 4*y**2 + 184*y + 2116 = 0.
-23
What is d in -10*d**5 + 108*d**4 - 398*d**3 + 596*d**2 - 264*d - 80 = 0?
-1/5, 2, 5
Solve -4*i**2 - 31480*i - 61936900 = 0.
-3935
Suppose -2*a**4/7 + 88*a**3/7 = 0. Calculate a.
0, 44
Factor -3*n**3 + 294*n**2 - 6900*n - 15000.
-3*(n - 50)**2*(n + 2)
Find g, given that -4*g**2 - 96*g - 512 = 0.
-16, -8
Factor -f**3 - 28*f**2 - 256*f - 768.
-(f + 8)**2*(f + 12)
Find o, given that -21*o**5 + 285*o**4 + 159*o**3 - 453*o**2 - 138*o + 168 = 0.
-1, 4/7, 1, 14
Factor -2*j**2/7 - 12*j + 86/7.
-2*(j - 1)*(j + 43)/7
What is x in x**3 + 19*x**2 + 119*x + 245 = 0?
-7, -5
Factor 3*z**4 + 30*z**3 - 69*z**2 + 36*z.
3*z*(z - 1)**2*(z + 12)
Factor -7*d**2 + 268*d - 76.
-(d - 38)*(7*d - 2)
Factor 4*q**5 + 52*q**4 - 56*q**3.
4*q**3*(q - 1)*(q + 14)
Factor -u**4/5 + 3*u**3/5 + u**2 - 3*u/5 - 4/5.
-(u - 4)*(u - 1)*(u + 1)**2/5
Factor 135*q**3 - 87*q**2/4 - 3*q.
3*q*(4*q - 1)*(45*q + 4)/4
Factor -22*r**4/3 - 28*r**3 - 24*r**2 + 16*r/3.
-2*r*(r + 2)**2*(11*r - 2)/3
Find r, given that -4*r**4 + 60*r**3 - 100*r**2 - 60*r + 104 = 0.
-1, 1, 2, 13
Suppose -q**2/6 + 46*q - 1355/6 = 0. What is q?
5, 271
Factor 4*u**3 + 56*u**2 + 100*u + 48.
4*(u + 1)**2*(u + 12)
Factor 5*g**3 - 5*g**2 - 2645*g + 2645.
5*(g - 23)*(g - 1)*(g + 23)
Determine m, given that -3*m**4 - 3*m**3 + 6*m**2 = 0.
-2, 0, 1
Solve -3*t**4 + 30*t**3 - 93*t**2 + 90*t = 0.
0, 2, 3, 5
Find b, given that b**2/4 - 49*b/4 - 25/2 = 0.
-1, 50
Suppose 12*p**4 - 52*p**3 + 8*p**2 + 32*p = 0. Calculate p.
-2/3, 0, 1, 4
Factor -5*v**3 + 25*v**2 - 15*v - 45.
-5*(v - 3)**2*(v + 1)
Solve 2*w**3/3 - 18*w**2 + 232*w/3 - 88 = 0 for w.
2, 3, 22
Factor -3*j**5 - 312*j**4 - 2091*j**3 - 5298*j**2 - 5844*j - 2328.
-3*(j + 1)*(j + 2)**3*(j + 97)
Factor 2*z**4/9 - 28*z**3/3 + 18*z**2 - 80*z/9.
2*z*(z - 40)*(z - 1)**2/9
Factor 4*v**2 - 8*v - 12.
4*(v - 3)*(v + 1)
Suppose a**5/4 - a**4/2 - a**3/4 + a**2/2 = 0. What is a?
-1, 0, 1, 2
What is i in -3*i**3 - 27*i**2 - 45*i + 75 = 0?
-5, 1
Let g**4/10 + 7*g**3/2 - 653*g**2/10 - 1407*g/10 - 72 = 0. What is g?
-48, -1, 15
What is a in 147*a**3 + 2919*a**2 + 2421*a + 513 = 0?
-19, -3/7
Solve -25*b**3 + 3385*b**2 + 2050*b - 1360 = 0.
-1, 2/5, 136
Let -5*c**3 - 1110*c**2 + 1115*c = 0. What is c?
-223, 0, 1
Factor -2*r**4/5 + 18*r**3/5 - 48*r**2/5 + 32*r/5.
-2*r*(r - 4)**2*(r - 1)/5
What is h in -2*h**2/5 + 6*h/5 - 4/5 = 0?
1, 2
Factor -9*y**2/4 - 6261*y/4 - 2085/2.
-3*(y + 695)*(3*y + 2)/4
Suppose 9*p**3/5 + 249*p**2/5 + 1038*p/5 - 1848/5 = 0. W