195*g**3/4 - 815*g**2/4 - 110*g - 15 = 0?
-3, -1, -2/7, 1
Factor 2*o**3/13 + 200*o**2/13 - 1514*o/13 - 1712/13.
2*(o - 8)*(o + 1)*(o + 107)/13
Solve 4*b**3 - 72*b**2 + 308*b - 240 = 0 for b.
1, 5, 12
Suppose -5*t**5 + 45*t**4 + 1190*t**3 + 5100*t**2 + 3960*t = 0. What is t?
-6, -1, 0, 22
Let 2*z**5 + 490*z**4/3 - 56*z**3 - 328*z**2/3 = 0. What is z?
-82, -2/3, 0, 1
What is x in 4*x**5 + 20*x**4 - 84*x**3 + 92*x**2 - 32*x = 0?
-8, 0, 1
Factor 21*q**5 - 36*q**4 - 12*q**3.
3*q**3*(q - 2)*(7*q + 2)
Factor 2*q**4 - 88*q**3 + 768*q**2.
2*q**2*(q - 32)*(q - 12)
Factor -5*y**2 + 427*y - 170.
-(y - 85)*(5*y - 2)
Find n such that 4*n**2/3 + 404*n/3 + 1552/3 = 0.
-97, -4
Suppose -s**2 + 3560*s - 3168400 = 0. What is s?
1780
Suppose -4*q**5 + 36*q**4 - 24*q**3 - 296*q**2 + 540*q - 252 = 0. What is q?
-3, 1, 3, 7
Suppose 4*i**2 + 22824*i + 32558436 = 0. What is i?
-2853
Determine n so that -3*n**5 + 9*n**4 + 54*n**3 = 0.
-3, 0, 6
Factor 3*g**2 - 12*g - 15.
3*(g - 5)*(g + 1)
Factor -4*s**2 + 408*s.
-4*s*(s - 102)
Suppose -2*x**4/5 + 4*x**3 - 8*x**2 - 4*x + 42/5 = 0. What is x?
-1, 1, 3, 7
Factor -4*c**2 - 128*c - 124.
-4*(c + 1)*(c + 31)
Factor -2*x**3 + 2*x**2 + 24*x.
-2*x*(x - 4)*(x + 3)
Factor -3*n**3 - 75*n**2 - 141*n - 69.
-3*(n + 1)**2*(n + 23)
Let 5*i**3 - 210*i**2 + 1725*i - 4000 = 0. What is i?
5, 32
Factor 7*l**3/2 - 71*l**2/3 + 158*l/3 - 116/3.
(l - 2)**2*(21*l - 58)/6
Factor 3*a**3/2 - 3*a**2 - 21*a/2 - 6.
3*(a - 4)*(a + 1)**2/2
Determine w so that -2*w**2/3 - 242*w/3 - 1160/3 = 0.
-116, -5
Solve -3*p**3 - 183*p**2 - 528*p - 348 = 0 for p.
-58, -2, -1
Determine p, given that -p**5 + 19*p**4 - 90*p**3 + 164*p**2 - 104*p = 0.
0, 2, 13
Find f such that -4*f**4 + 120*f**3 - 1108*f**2 + 3120*f - 2704 = 0.
2, 13
Suppose 4*o**2 + 16*o - 128 = 0. Calculate o.
-8, 4
Suppose -3*v**4 - 42*v**3 - 171*v**2 - 216*v = 0. What is v?
-8, -3, 0
Let 2523*u**5/4 - 3219*u**4/4 - 2151*u**3/2 + 336*u**2 - 24*u = 0. Calculate u.
-1, 0, 4/29, 2
Find r, given that 3*r**2 - 8951*r + 5966 = 0.
2/3, 2983
Factor -j**3 + 20*j**2 - 37*j + 18.
-(j - 18)*(j - 1)**2
Factor -2*f**4/5 - 34*f**3/5 - 84*f**2/5.
-2*f**2*(f + 3)*(f + 14)/5
Solve q**5 + 5*q**4 + 3*q**3 - 9*q**2 = 0 for q.
-3, 0, 1
Factor 3*o**3/2 - 81*o/2 - 81.
3*(o - 6)*(o + 3)**2/2
Find b, given that -2*b**3/7 + 2482*b**2/7 + 710*b + 2486/7 = 0.
-1, 1243
Factor -y**3/2 + 3*y**2 + 7*y/2.
-y*(y - 7)*(y + 1)/2
Determine b, given that 3*b**2/7 - 48*b/7 - 171/7 = 0.
-3, 19
Factor -2*h**3 + 12*h**2 - 18*h + 8.
-2*(h - 4)*(h - 1)**2
Factor -2*i**2/11 + 8*i/11 - 8/11.
-2*(i - 2)**2/11
Suppose -2*r**3 + 22*r**2 - 68*r + 48 = 0. What is r?
1, 4, 6
Find d such that -6*d**2 - 33*d/7 + 9/7 = 0.
-1, 3/14
Determine j so that 2*j**4 - 12*j**3 - 112*j**2 + 12*j + 110 = 0.
-5, -1, 1, 11
What is c in -5*c**2/4 - 535*c/2 + 540 = 0?
-216, 2
Determine p so that p**4/4 - 61*p**3/4 + 853*p**2/4 - 1947*p/4 - 7623/2 = 0.
-3, 11, 42
Determine t, given that 3*t**3/2 - 2047*t**2/4 + 2381*t/4 - 85 = 0.
1/6, 1, 340
Factor -c**4 - 19*c**3 + 3*c**2 + 55*c - 38.
-(c - 1)**2*(c + 2)*(c + 19)
Find g such that -2*g**5/13 - 60*g**4/13 + 266*g**3/13 - 204*g**2/13 = 0.
-34, 0, 1, 3
Factor -3*n**3/8 + 219*n**2/8 + 3*n/8 - 219/8.
-3*(n - 73)*(n - 1)*(n + 1)/8
Determine d so that -243*d**5/5 + 1998*d**4/5 - 4323*d**3/5 + 888*d**2/5 - 48*d/5 = 0.
0, 1/9, 4
Factor 6*n**4/5 - 806*n**3/15 + 798*n**2 - 3870*n - 900.
2*(n - 15)**3*(9*n + 2)/15
Factor -g**4 - 3*g**3 + 5*g**2 + 3*g - 4.
-(g - 1)**2*(g + 1)*(g + 4)
Solve 5*h**4 - 5*h**3 - 465*h**2 - 1075*h + 1540 = 0.
-7, -4, 1, 11
Factor -33*g**3 - 333*g**2 + 762*g + 72.
-3*(g - 2)*(g + 12)*(11*g + 1)
Find v such that -4*v**2 - 160*v - 1600 = 0.
-20
Solve -5*u**3 + 505*u**2 - 14335*u + 77315 = 0 for u.
7, 47
Determine d, given that 3*d**3 + 765*d**2 - 2322*d = 0.
-258, 0, 3
What is o in o**2/4 - 755*o/4 + 377/2 = 0?
1, 754
Solve 30*h**5 - 4626*h**4 + 27474*h**3/5 + 2034*h**2 - 10992*h/5 - 3672/5 = 0.
-2/5, 1, 153
Let -9*z**4/2 + 86*z**3/5 - 207*z**2/10 + 46*z/5 - 6/5 = 0. What is z?
2/9, 3/5, 1, 2
Suppose -2*h**2/13 + 14*h/13 - 20/13 = 0. Calculate h.
2, 5
Let 3*u**3/2 + 9*u**2/2 - 3*u/2 - 9/2 = 0. Calculate u.
-3, -1, 1
Factor 2*u**2 + 6*u - 20.
2*(u - 2)*(u + 5)
Factor 3*t**3 + 51*t**2 + 177*t - 231.
3*(t - 1)*(t + 7)*(t + 11)
Factor 4*c**2 - 100*c + 96.
4*(c - 24)*(c - 1)
Factor -i**2/10 + 497*i/5 - 396.
-(i - 990)*(i - 4)/10
Factor -3*g**4/4 - 9*g**3 - 45*g**2/2 - 21*g - 27/4.
-3*(g + 1)**3*(g + 9)/4
Solve -u**3/2 - 79*u**2/2 - 115*u - 76 = 0.
-76, -2, -1
Factor 2*o**2/9 + 10*o/3 - 68/9.
2*(o - 2)*(o + 17)/9
Suppose -a**2 - 27*a + 28 = 0. What is a?
-28, 1
Let t**2/2 + 202*t + 402 = 0. Calculate t.
-402, -2
Factor -c**4/8 - 21*c**3/8 + 95*c**2/8 - 123*c/8 + 25/4.
-(c - 2)*(c - 1)**2*(c + 25)/8
Factor 4*b**4 + 52*b**3 + 64*b**2 - 768*b.
4*b*(b - 3)*(b + 8)**2
Factor n**3 + 34*n**2 + 289*n.
n*(n + 17)**2
Factor -4*w**2 - 248*w - 3844.
-4*(w + 31)**2
Factor r**3/4 - 145*r**2/2 - 583*r/4 - 73.
(r - 292)*(r + 1)**2/4
Factor t**4/4 + 3*t**3/2 + 2*t**2 - 3*t/2 - 9/4.
(t - 1)*(t + 1)*(t + 3)**2/4
Factor 24*w**3 - 76*w**2 + 64*w - 16.
4*(w - 2)*(2*w - 1)*(3*w - 2)
Factor -2*p**4/3 + 40*p**3/3 + 8*p**2 - 2240*p/3 - 6272/3.
-2*(p - 14)**2*(p + 4)**2/3
Factor -o**5/3 + 66*o**4 - 3064*o**3 - 59984*o**2/3 - 41072*o - 27744.
-(o - 102)**2*(o + 2)**3/3
What is d in -2*d**2 + 4312*d - 2324168 = 0?
1078
Factor 2*p**2/3 + 92*p - 278/3.
2*(p - 1)*(p + 139)/3
Factor 65*i**2/4 - 47*i/8 - 1/4.
(5*i - 2)*(26*i + 1)/8
Solve -6*m**5 - 9*m**4/5 + 24*m**3 + 36*m**2/5 = 0 for m.
-2, -3/10, 0, 2
Factor 2*s**2/7 - 4020*s/7 + 2020050/7.
2*(s - 1005)**2/7
Let u**3/2 + 17*u**2/10 + 19*u/10 + 7/10 = 0. What is u?
-7/5, -1
Factor v**2 - 50*v + 49.
(v - 49)*(v - 1)
Find i, given that -15*i**3 - 820*i**2 - 535*i + 270 = 0.
-54, -1, 1/3
Determine y so that y**2/8 + 1223*y/4 + 1495729/8 = 0.
-1223
Factor 3*n**4/5 - 1884*n**3/5 + 443682*n**2/5 - 46438716*n/5 + 1822719603/5.
3*(n - 157)**4/5
Suppose -3*f**3 - 12*f**2 + 15*f = 0. Calculate f.
-5, 0, 1
Solve 2*g**3 - 140*g**2 + 272*g = 0 for g.
0, 2, 68
Factor -5*q**2 - 2355*q - 2350.
-5*(q + 1)*(q + 470)
Find i such that 24*i**5 - 28*i**4 - 48*i**3 + 12*i**2 + 8*i = 0.
-1, -1/3, 0, 1/2, 2
Find x, given that 2*x**5/9 - 10*x**4/9 - 4*x**3/9 + 28*x**2/3 - 14*x + 6 = 0.
-3, 1, 3
Factor -2*k**2/5 + 6*k/5 + 4.
-2*(k - 5)*(k + 2)/5
Factor 6*y**3 + 28*y**2 + 16*y.
2*y*(y + 4)*(3*y + 2)
Factor c**3/4 + 115*c**2/4 - 473*c/4 + 357/4.
(c - 3)*(c - 1)*(c + 119)/4
Suppose 5*h**5 - 25*h**4 - 90*h**3 + 100*h**2 + 280*h = 0. What is h?
-2, 0, 2, 7
Factor 125*i**4 - 300*i**3 + 230*i**2 - 60*i + 5.
5*(i - 1)**2*(5*i - 1)**2
Factor -4*u**4/5 - 536*u**3/5 - 18484*u**2/5 - 35376*u/5 - 17424/5.
-4*(u + 1)**2*(u + 66)**2/5
Factor -z**3/6 - 5*z**2 + 31*z/6.
-z*(z - 1)*(z + 31)/6
Let -k**5 + 3*k**4 + 3*k**3 - 7*k**2 - 6*k = 0. Calculate k.
-1, 0, 2, 3
Let -2*p**2/17 - 24*p/17 - 22/17 = 0. What is p?
-11, -1
Solve -3*b**3 + 681*b**2 - 38985*b + 38307 = 0 for b.
1, 113
Let -n**3 + 5*n**2 + 14*n = 0. Calculate n.
-2, 0, 7
Suppose -3*o**4/2 + 27*o**3/2 - 33*o**2/2 - 63*o/2 = 0. What is o?
-1, 0, 3, 7
Solve 2*f**5/7 - 24*f**4/7 + 94*f**3/7 - 104*f**2/7 - 96*f/7 + 128/7 = 0.
-1, 1, 4
Factor 2*l**3/13 + 224*l**2/13 + 658*l/13 + 436/13.
2*(l + 1)*(l + 2)*(l + 109)/13
Determine y, given that y**2 + 123*y - 124 = 0.
-124, 1
Find d, given that -d**5/2 - 4*d**4 + 3*d**3/2 + 13*d**2 + 8*d = 0.
-8, -1, 0, 2
Factor -5*d**4 + 50*d**3 + 355*d**2 + 300*d.
-5*d*(d - 15)*(d + 1)*(d + 4)
Determine j, given that -j**2 + 8*j = 0.
0, 8
Find q such that 2*q**2/11 + 162*q/11 + 760/11 = 0.
-76, -5
Let 2*t**2/13 + 6*t + 76/13 = 0. What is t?
-38, -1
Solve 4*k**4 - 88*k**3 - 4*k**2 + 88*k = 0 for k.
-1, 0, 1, 22
Factor -3*z**3/7 + 3*z**2.
-3*z**2*(z - 7)/7
Let -n**3 + n**2 + 6*n = 0. What is n?
-2, 0, 3
Factor -3*s**4/5 - 11*s**3/5 + 8*s**2 - 12*s/5.
-s*(s - 2)*(s + 6)*(3*s - 1)/5
Let 2*m**4/5 + 4*m**3/5 - 22*m**2/5 - 24*m/5 = 0. What is m?
-4, -1, 0, 3
Factor -8*p**4/3 + 9*p**3 - 11*p**2 + 17*p/3 - 1.
-(p - 1)**3*(8*p - 3)/3
Factor z**2/5 - 11302*z/5 + 31933801/5.
(z - 5651)**2/5
Solve 3*i**2/2 - 15*i/2 + 9 = 0 for i.
2, 3
Factor -12*t**3 + 10*t**2 + 26*t + 4.
-2*(t - 2)*(t + 1)*(6*t + 1)
Find z such that -5*z**2/4 + 2075*z/2 - 861125/4 = 0.
415
Factor -