7 - 2*k/7 + 12/7.
-2*(k - 2)*(k + 3)/7
Factor o**3/2 + 131*o**2/2 + 4087*o/2 - 13467/2.
(o - 3)*(o + 67)**2/2
Determine u so that -u**2/5 - 1238*u/5 - 383161/5 = 0.
-619
Factor -2*f**2 - 20*f + 22.
-2*(f - 1)*(f + 11)
Factor 3*n**2/5 - 2988*n/5 - 2991/5.
3*(n - 997)*(n + 1)/5
Factor -5*z**3/6 + 25*z**2/6 + 65*z/6 + 35/6.
-5*(z - 7)*(z + 1)**2/6
Suppose 3*w**4 - 36*w**3/5 - 3*w**2/5 + 36*w/5 - 12/5 = 0. Calculate w.
-1, 2/5, 1, 2
Suppose -9*r**5 + 3*r**4 + 63*r**3 - 75*r**2 + 18*r = 0. Calculate r.
-3, 0, 1/3, 1, 2
Factor -o**2/4 + 8*o + 33/4.
-(o - 33)*(o + 1)/4
What is g in 3*g**2 + 81*g + 78 = 0?
-26, -1
What is s in -s**2/3 - 109*s/3 = 0?
-109, 0
Solve -q**5 - q**4 + 3*q**3 + 5*q**2 + 2*q = 0.
-1, 0, 2
Factor 4*u**3/9 - 64*u**2/9 - 320*u/9.
4*u*(u - 20)*(u + 4)/9
Factor -5*z**3 - 10*z**2.
-5*z**2*(z + 2)
Factor 3*y**2/4 + 3*y/4 - 204.
3*(y - 16)*(y + 17)/4
Solve o**3/6 - 17*o**2/3 + 289*o/6 = 0.
0, 17
What is u in -10*u**3/3 - 2*u**2/3 + 8*u/3 = 0?
-1, 0, 4/5
Find j, given that 5*j**2 + 300*j + 4500 = 0.
-30
Determine q so that -4050*q**5/7 - 4680*q**4 + 74062*q**3/7 - 33724*q**2/7 - 3448*q/7 - 80/7 = 0.
-10, -2/45, 1
Find s, given that -3*s**3/5 - 12*s**2/5 - 3*s - 6/5 = 0.
-2, -1
Factor -7*j**3 - 166*j**2 - 785*j + 238.
-(j + 7)*(j + 17)*(7*j - 2)
Find k, given that 5*k**2 - 180*k - 1025 = 0.
-5, 41
Suppose 3*r**4 - 45*r**3 + 171*r**2 - 219*r + 90 = 0. What is r?
1, 3, 10
Factor -5*j**4 + 88*j**3 + 1251*j**2 + 486*j.
-j*(j - 27)*(j + 9)*(5*j + 2)
Factor -10*t**2/3 - 4*t + 16/3.
-2*(t + 2)*(5*t - 4)/3
Solve -20*o**5 + 275*o**4 - 1015*o**3 + 1555*o**2 - 1065*o + 270 = 0 for o.
3/4, 1, 2, 9
Factor 3*b**2 - 261*b + 510.
3*(b - 85)*(b - 2)
What is l in -2*l**2 - 5236*l - 10464 = 0?
-2616, -2
Factor -v**4/3 - 5*v**3/3 - v**2/3 + 7*v + 6.
-(v - 2)*(v + 1)*(v + 3)**2/3
Solve -3*s**2/8 + 9*s/8 - 3/4 = 0 for s.
1, 2
Solve 4*y**3/7 - 24*y**2/7 + 32*y/7 = 0.
0, 2, 4
Factor -5*c**2 + 875*c - 1730.
-5*(c - 173)*(c - 2)
Solve -q**3/4 + 5*q**2/4 - 2*q + 1 = 0.
1, 2
Let -t**5/3 + 44*t**4/3 - 14*t**3 - 44*t**2/3 + 43*t/3 = 0. What is t?
-1, 0, 1, 43
Factor -3*z**4/7 - 18*z**3/7 + 72*z**2/7 - 78*z/7 + 27/7.
-3*(z - 1)**3*(z + 9)/7
What is i in 69*i**3 + 3*i**2/2 = 0?
-1/46, 0
Let 2*z**4 - 8*z**3 - 6*z**2 + 36*z = 0. Calculate z.
-2, 0, 3
Let 3*w**4 - 21*w**3 + 27*w**2 + 81*w - 162 = 0. What is w?
-2, 3
Let -3*w**3/8 - 5103*w**2/8 - 10197*w/8 - 5097/8 = 0. What is w?
-1699, -1
Factor -5*o**2 + 61840*o - 191209280.
-5*(o - 6184)**2
Solve -4*v**5 + 44*v**4 - 36*v**3 - 476*v**2 - 392*v = 0.
-2, -1, 0, 7
Suppose -5*d**3 + 190*d**2 - 1525*d + 3500 = 0. What is d?
5, 28
Factor q**2 + 286*q + 20449.
(q + 143)**2
Solve 2*k**2 + 922*k/5 + 184/5 = 0.
-92, -1/5
Find j, given that -j**5 - 5*j**4/3 + 19*j**3/3 + 53*j**2/3 + 44*j/3 + 4 = 0.
-2, -1, -2/3, 3
Factor i**3/4 - 31*i**2/2 + 529*i/4 - 117.
(i - 52)*(i - 9)*(i - 1)/4
Suppose -t**2 - 3428*t - 2937796 = 0. What is t?
-1714
Determine t so that -2*t**4 - 2*t**3 + 24*t**2 + 56*t + 32 = 0.
-2, -1, 4
Find l such that 25*l**3 + 535*l**2 + 210*l = 0.
-21, -2/5, 0
Factor -2*v**2/15 + 14*v/15 - 4/3.
-2*(v - 5)*(v - 2)/15
What is m in 48*m**2 - 531*m + 33 = 0?
1/16, 11
Factor -4*q**3/3 - 44*q**2/3 + 100*q/3 - 52/3.
-4*(q - 1)**2*(q + 13)/3
Let -y**3/4 + y**2 + y - 4 = 0. What is y?
-2, 2, 4
Determine o, given that -3*o**3/7 + 144*o**2/7 - 144*o + 1920/7 = 0.
4, 40
Factor 2*t**2 + 72*t + 310.
2*(t + 5)*(t + 31)
Factor -2*g**2/3 - 121*g/3 + 61/3.
-(g + 61)*(2*g - 1)/3
Let -r**2/6 + 23*r/6 - 11/3 = 0. Calculate r.
1, 22
Factor 3*c**3/4 + 171*c**2/2 + 2520*c + 4704.
3*(c + 2)*(c + 56)**2/4
What is c in -c**4/7 + 11*c**3/7 + 12*c**2/7 = 0?
-1, 0, 12
Solve -2*j**3/3 - 230*j**2 - 26450*j - 3041750/3 = 0.
-115
Solve -9*o**5/5 + 29*o**4/5 - 6*o**3/5 - 36*o**2/5 + 8*o/5 = 0.
-1, 0, 2/9, 2
Factor -2*u**4 - 6*u**3 - 6*u**2 - 2*u.
-2*u*(u + 1)**3
Factor 30*x**4 - 176*x**3 - 504*x**2 - 64*x.
2*x*(x - 8)*(x + 2)*(15*x + 2)
Suppose 3*u**2 + 27*u + 54 = 0. Calculate u.
-6, -3
Factor 4*y**3/7 - 24*y**2/7 + 12*y/7 + 40/7.
4*(y - 5)*(y - 2)*(y + 1)/7
Factor w**3/3 + 139*w**2/3 + 1633*w + 1587.
(w + 1)*(w + 69)**2/3
Factor 3*x**4/4 - 15*x**3/4 + 6*x**2 - 3*x.
3*x*(x - 2)**2*(x - 1)/4
Factor -2*q**2/11 + 40*q/11 - 38/11.
-2*(q - 19)*(q - 1)/11
Solve -35*a**2 + 39840*a - 11380 = 0 for a.
2/7, 1138
Factor -2*c**3 - 10*c**2 - 16*c - 8.
-2*(c + 1)*(c + 2)**2
Solve -v**3/3 + 4*v - 16/3 = 0 for v.
-4, 2
What is c in -c**3/2 + 20*c**2 - 243*c/2 + 198 = 0?
3, 4, 33
Factor 5*b**4 - 2550*b**3 + 436020*b**2 - 25419290*b + 72402135.
5*(b - 169)**3*(b - 3)
Factor 6*b**2 - 31*b/2 + 7.
(b - 2)*(12*b - 7)/2
Factor -4*s**3 + 12968*s**2 - 10523520*s + 20995200.
-4*(s - 1620)**2*(s - 2)
Factor 5*q**3 + 85*q**2 - 5*q - 85.
5*(q - 1)*(q + 1)*(q + 17)
What is l in 4*l**5 - 16*l**4 + 40*l**2 - 4*l - 24 = 0?
-1, 1, 2, 3
Determine l so that -3*l**4 + 36*l**3 + 45*l**2 - 78*l = 0.
-2, 0, 1, 13
What is r in -3*r**3 - 63*r**2 + 72*r + 132 = 0?
-22, -1, 2
Find c, given that -4*c**2 - 28*c + 120 = 0.
-10, 3
Let -d**3 + d = 0. What is d?
-1, 0, 1
Factor 5*g**4 + 25*g**3 - 15*g**2 - 85*g - 50.
5*(g - 2)*(g + 1)**2*(g + 5)
Solve 3375*y**5 - 8775*y**4 - 3870*y**3 - 532*y**2 - 24*y = 0.
-2/15, 0, 3
Factor c**4/4 + c**3 + c**2/2 - c - 3/4.
(c - 1)*(c + 1)**2*(c + 3)/4
Determine a, given that a**5/2 - a**4 - 19*a**3/2 + 16*a**2 + 24*a = 0.
-4, -1, 0, 3, 4
Find s such that 245*s**5/3 - 742*s**4/3 - 292*s**3 - 296*s**2/3 - 32*s/3 = 0.
-2/5, -2/7, 0, 4
Factor -i**5 - 49*i**4 - 128*i**3 + 460*i**2.
-i**2*(i - 2)*(i + 5)*(i + 46)
Suppose 15*b**4 - 980*b**3 + 16645*b**2 - 20800*b + 5120 = 0. What is b?
1/3, 1, 32
Factor -2*r**4 + 4*r**3 + 6*r**2 - 8*r - 8.
-2*(r - 2)**2*(r + 1)**2
What is m in -10*m**3/7 - 8*m**2 - 10*m - 24/7 = 0?
-4, -1, -3/5
Factor -8*z**4/3 + 24*z**3 - 22*z**2 + 16*z/3.
-2*z*(z - 8)*(2*z - 1)**2/3
Determine p so that -3*p**3/8 + 69*p**2/4 - 30*p - 132 = 0.
-2, 4, 44
Factor -t**2/5 + 196*t/5 + 597/5.
-(t - 199)*(t + 3)/5
Factor -2*s**3/19 + 32*s**2/19 + 34*s/19.
-2*s*(s - 17)*(s + 1)/19
Factor -3*c**4 - 3*c**3 + 222*c**2 + 432*c.
-3*c*(c - 9)*(c + 2)*(c + 8)
Factor 3*t**2 - 840*t - 843.
3*(t - 281)*(t + 1)
Factor j**4/4 - 12*j**2 - 32*j.
j*(j - 8)*(j + 4)**2/4
Factor 4*b**5/7 + 24*b**4/7 + 8*b**3/7 - 80*b**2/7 - 108*b/7 - 40/7.
4*(b - 2)*(b + 1)**3*(b + 5)/7
Factor -2*o**2 + 6*o - 4.
-2*(o - 2)*(o - 1)
Factor -c**4/4 - 7*c**3/2 - 9*c**2 - 17*c/2 - 11/4.
-(c + 1)**3*(c + 11)/4
Let -j**5 + 26*j**4 + 29*j**3 - 54*j**2 = 0. What is j?
-2, 0, 1, 27
Factor -178*z**3/7 - 26*z**2 - 4*z/7.
-2*z*(z + 1)*(89*z + 2)/7
Let -h**2 + 61*h + 1050 = 0. What is h?
-14, 75
Factor -f**4/2 + 73*f**3 - 2664*f**2 - 73*f + 5329/2.
-(f - 73)**2*(f - 1)*(f + 1)/2
Solve 5*g**4 + 245*g**3 - 1035*g**2 + 1315*g - 530 = 0.
-53, 1, 2
Factor -3*c**4/4 - 279*c**3/4 + 141*c**2/2.
-3*c**2*(c - 1)*(c + 94)/4
Factor -g**3/4 + 61*g**2/4 - 899*g/4 - 961/4.
-(g - 31)**2*(g + 1)/4
Determine q so that -2*q**2/19 + 28*q/19 = 0.
0, 14
Determine y, given that y**3 + 9*y**2 + 26*y + 24 = 0.
-4, -3, -2
Determine y, given that 2*y**3 + 36*y**2 + 192*y + 256 = 0.
-8, -2
Factor 3*w**2/4 + 29*w - 39/4.
(w + 39)*(3*w - 1)/4
Let -2*w**5 - 14*w**4/5 + 12*w**3/5 = 0. What is w?
-2, 0, 3/5
Factor -3*n**5 + 9*n**4 + 18*n**3 - 30*n**2 - 63*n - 27.
-3*(n - 3)**2*(n + 1)**3
What is f in 3*f**4 - 48*f**3 + 81*f**2 + 48*f - 84 = 0?
-1, 1, 2, 14
Factor a**2/4 + 881*a/4 - 885.
(a - 4)*(a + 885)/4
Determine l, given that 75*l**3 + 1080*l**2 + 5184*l + 41472/5 = 0.
-24/5
Factor 5*n**2 + 600*n + 18000.
5*(n + 60)**2
Factor 4*q**5/9 + 10*q**4/9 + 2*q**3/3 - 2*q**2/9 - 2*q/9.
2*q*(q + 1)**3*(2*q - 1)/9
Factor -4*x**3/3 - 4*x**2 + 4*x/3 + 4.
-4*(x - 1)*(x + 1)*(x + 3)/3
Factor -4*t**4 - 192*t**3 + 1048*t**2 - 672*t - 1908.
-4*(t - 3)**2*(t + 1)*(t + 53)
Factor 732050*b**2/3 + 2420*b/3 + 2/3.
2*(605*b + 1)**2/3
Factor -4*c**2 + 512*c - 16384.
-4*(c - 64)**2
Suppose -54*a**5/11 - 138*a**4/11 + 1152*a**3/11 + 192*a**2 - 4608*a/11 + 1536/11 = 0. Calculate a.
-4, 4/9, 1, 4
Factor -5*a**3 + 90*a**2 - 120*a - 2240.
-5*(a - 14)*(a - 8)*(a + 4)
Let 5*s**3 - 18705*s**2 + 23325135*s - 9695481115 = 0. What is s?
1247
Factor 9*o**2/7 - 348*o/7 - 117/7.
3*(o - 39)*(3*o + 1)/7
Factor -5*h**4 - 115*h**3 - 900*h**2 - 2960*h - 3520.
-5*(h + 4)**3*(h + 1