 - 177*l/2 - 89/2 = 0. Calculate l.
-1, 89
Factor -4*j**3 + 932*j**2 - 17440*j + 85200.
-4*(j - 213)*(j - 10)**2
Solve -2*a**2 - 96*a - 94 = 0 for a.
-47, -1
Let g**4/2 + 25*g**3/2 + 83*g**2/2 - 961*g/2 - 510 = 0. What is g?
-17, -12, -1, 5
Factor -3*h**2/8 - 3*h/8 + 45/4.
-3*(h - 5)*(h + 6)/8
Factor -7*c**2/4 - 381*c/4.
-c*(7*c + 381)/4
Factor 4*k**3 + 188*k**2 - 1236*k + 1908.
4*(k - 3)**2*(k + 53)
Factor -4*k**3 + 24*k**2 + 76*k - 96.
-4*(k - 8)*(k - 1)*(k + 3)
Factor 2*s**2 - 340*s - 1750.
2*(s - 175)*(s + 5)
Factor -3*t**4 + 153*t**3 - 432*t**2 - 12*t + 576.
-3*(t - 48)*(t - 2)**2*(t + 1)
Factor h**5/9 + 4*h**4/9 + h**3/9 - 2*h**2/3.
h**2*(h - 1)*(h + 2)*(h + 3)/9
Factor -5*u**2 - 110*u.
-5*u*(u + 22)
Solve 4*q**2 - 240*q = 0 for q.
0, 60
Factor -2*z**3/7 - 86*z**2/7 + 1548*z/7 - 2736/7.
-2*(z - 12)*(z - 2)*(z + 57)/7
Let -f**5 - 5*f**4 + f**3 + 5*f**2 = 0. What is f?
-5, -1, 0, 1
Suppose 3*v**3/8 - 87*v**2/4 - 963*v/8 + 567/4 = 0. Calculate v.
-6, 1, 63
Determine m, given that -8*m**4/9 + 86*m**3/9 - 260*m**2/9 + 50*m/3 = 0.
0, 3/4, 5
Solve 5*f**2 + 3870*f + 748845 = 0 for f.
-387
Determine a so that 2*a**5/3 + 38*a**4/3 + 238*a**3/3 + 658*a**2/3 + 272*a + 120 = 0.
-10, -3, -2, -1
Let -y**3 - 288*y**2 - 27648*y - 884736 = 0. Calculate y.
-96
What is r in -31*r**3/8 + 47*r**2/4 - 65*r/8 + 1/4 = 0?
1/31, 1, 2
Factor -3*i**4/7 + 78*i**3/7 + 36*i**2 + 258*i/7 + 87/7.
-3*(i - 29)*(i + 1)**3/7
Let 5*g**4 - 160*g**3 + 445*g**2 - 290*g = 0. What is g?
0, 1, 2, 29
Factor -12*v**3 - 22*v**2 + 8*v + 8.
-2*(v + 2)*(2*v + 1)*(3*v - 2)
Determine u so that -u**3/6 + 5*u**2/2 - 13*u/2 - 55/6 = 0.
-1, 5, 11
Factor -2*u**4/11 - 6*u**3/11 + 8*u**2/11.
-2*u**2*(u - 1)*(u + 4)/11
Factor -u**3/4 + 11*u**2/4 - 13*u/2 + 4.
-(u - 8)*(u - 2)*(u - 1)/4
Suppose 2*o**3 - 356*o**2 + 4056*o - 11952 = 0. What is o?
6, 166
Factor o**5/3 - 2*o**4 + 5*o**3/3 + 8*o**2 - 12*o.
o*(o - 3)**2*(o - 2)*(o + 2)/3
Factor 2*g**3/7 + 82*g**2/7 + 1016*g/7 + 3960/7.
2*(g + 9)*(g + 10)*(g + 22)/7
Factor -2*v**4 + 26*v**3 + 90*v**2 + 94*v + 32.
-2*(v - 16)*(v + 1)**3
Factor -2*u**3/13 - 880*u**2/13 - 1754*u/13 - 876/13.
-2*(u + 1)**2*(u + 438)/13
Factor -2*j**2/13 - 958*j/13.
-2*j*(j + 479)/13
Suppose 2*k**2/3 - 4*k/3 + 2/3 = 0. What is k?
1
Find b such that 4*b**2/5 + 276*b/5 + 272/5 = 0.
-68, -1
Find c, given that 5*c**3 + 5365*c**2 + 5350*c - 10720 = 0.
-1072, -2, 1
Solve -2*n**4 + 16*n**3 - 36*n**2 + 54 = 0.
-1, 3
Determine j so that 4*j**2 + 224*j - 464 = 0.
-58, 2
Factor -2*r**2/9 - 452*r/9 - 50.
-2*(r + 1)*(r + 225)/9
Factor 4*v**4 - 28*v**3 + 60*v**2 - 52*v + 16.
4*(v - 4)*(v - 1)**3
Factor -2*d**2/5 - 402*d/5 + 404/5.
-2*(d - 1)*(d + 202)/5
Solve 2*y**3/9 - 116*y**2/9 - 2*y/9 + 116/9 = 0 for y.
-1, 1, 58
Factor -20*b**3 - 345*b**2 + 275*b + 90.
-5*(b - 1)*(b + 18)*(4*b + 1)
Solve -5*d**4 + 35*d**3 + 195*d**2 + 265*d + 110 = 0.
-2, -1, 11
Find t, given that 2*t**3/5 + 68*t**2/5 + 528*t/5 = 0.
-22, -12, 0
Factor v**5 - 18*v**4 + 33*v**3 - 16*v**2.
v**2*(v - 16)*(v - 1)**2
Let -4*a**4 + 48*a**3 + 344*a**2 - 48*a - 340 = 0. Calculate a.
-5, -1, 1, 17
Find d such that -5*d**3/6 + 85*d**2/6 - 475*d/6 + 875/6 = 0.
5, 7
Factor f**4/2 - 4*f**3 - 3*f**2/2 + 11*f + 8.
(f - 8)*(f - 2)*(f + 1)**2/2
Factor -i**2/5 + 3*i + 16/5.
-(i - 16)*(i + 1)/5
Factor 3*n**4 + 12*n**3 - 54*n**2 + 60*n - 21.
3*(n - 1)**3*(n + 7)
Determine r so that 16*r**3/5 + 12*r**2/5 + 2*r/5 = 0.
-1/2, -1/4, 0
Let -2*o**4/7 + 18*o**2/7 + 8*o/7 - 24/7 = 0. What is o?
-2, 1, 3
What is u in -u**3 + 51*u**2 = 0?
0, 51
Solve 3*w**5 + 45*w**4 - 135*w**3 - 2025*w**2 + 9720*w - 11664 = 0.
-12, 3
Factor 2*s**3/11 + 1212*s**2/11 + 244824*s/11 + 16484816/11.
2*(s + 202)**3/11
Determine u, given that 5*u**2 + 330*u - 2160 = 0.
-72, 6
Factor 3*v**3/8 - 3*v**2/4 - 45*v/8 + 27/2.
3*(v - 3)**2*(v + 4)/8
Factor 5*m**3 - 75*m**2 + 160*m + 240.
5*(m - 12)*(m - 4)*(m + 1)
Factor 12*l**4 - 21*l**3 - 42*l**2 - 9*l.
3*l*(l - 3)*(l + 1)*(4*l + 1)
Determine z so that 3*z**5 + 3*z**4 - 21*z**3 - 3*z**2 + 18*z = 0.
-3, -1, 0, 1, 2
Factor -w**2/4 - 40*w - 159/4.
-(w + 1)*(w + 159)/4
Suppose -2*o**2/5 - 54*o/5 - 52/5 = 0. Calculate o.
-26, -1
Factor -2*n**2 - 6*n - 4.
-2*(n + 1)*(n + 2)
Let 2*b**2 - 70*b + 528 = 0. Calculate b.
11, 24
Find m, given that -3*m**4 - 927*m**3 + 1866*m**2 = 0.
-311, 0, 2
Factor v**2/2 - 11*v/2 - 261.
(v - 29)*(v + 18)/2
What is k in -k**2/5 + 169*k/5 - 168/5 = 0?
1, 168
Factor -2*l**3/7 - 18*l**2/7 + 20*l/7.
-2*l*(l - 1)*(l + 10)/7
Factor y**2/2 + y/2 - 21.
(y - 6)*(y + 7)/2
Factor -14*b**2/11 + 10*b/11 + 24/11.
-2*(b + 1)*(7*b - 12)/11
Factor -q**3 + 7*q**2 + 30*q.
-q*(q - 10)*(q + 3)
Let -3*u**2 - 114*u - 111 = 0. What is u?
-37, -1
Factor -h**3/3 - 8*h**2/3 + 25*h - 42.
-(h - 3)**2*(h + 14)/3
Factor -3*n**3/7 + 129*n**2/7 - 18*n.
-3*n*(n - 42)*(n - 1)/7
Factor -9*l**2/2 - 26*l + 6.
-(l + 6)*(9*l - 2)/2
Suppose -5*i**2 - 190*i - 1805 = 0. Calculate i.
-19
Factor -3*t**3/2 - 1731*t**2/2 - 248829*t/2 + 250563/2.
-3*(t - 1)*(t + 289)**2/2
Solve -j**3/5 + 33*j**2/5 + 1266*j/5 + 1232/5 = 0.
-22, -1, 56
Let 3*q**2/5 - 12*q/5 - 3 = 0. What is q?
-1, 5
Suppose i**3/2 + 23*i**2/2 + 155*i/2 + 325/2 = 0. Calculate i.
-13, -5
Factor -6*m**3 - 27*m**2/4 + 45*m/4 + 3/2.
-3*(m - 1)*(m + 2)*(8*m + 1)/4
Factor 5*x**2 - 705*x - 1430.
5*(x - 143)*(x + 2)
Factor -f**4 - 6*f**3 - 4*f**2 + 6*f + 5.
-(f - 1)*(f + 1)**2*(f + 5)
Let -3*p**4 + 11922*p**3 - 11856423*p**2 + 23677092*p - 11832588 = 0. Calculate p.
1, 1986
Factor 5*z**3 + 120*z**2 - 1055*z + 930.
5*(z - 6)*(z - 1)*(z + 31)
Find a, given that 3*a**2 + 4797*a - 4800 = 0.
-1600, 1
Solve 2500*s**5 + 41700*s**4 + 26464*s**3 - 11712*s**2 + 1024*s = 0.
-16, -1, 0, 4/25
Factor a**3/4 + 27*a**2/4 + 25*a/2.
a*(a + 2)*(a + 25)/4
Factor -5*z**4 + 40*z**3 + 55*z**2 - 90*z.
-5*z*(z - 9)*(z - 1)*(z + 2)
Factor -3*p**2 - 228*p - 225.
-3*(p + 1)*(p + 75)
Determine j so that -j**2/5 - 4424*j/5 - 4892944/5 = 0.
-2212
Factor -4*w**2 + 484*w + 488.
-4*(w - 122)*(w + 1)
Determine a so that 3*a**2 + 156*a + 2016 = 0.
-28, -24
Solve -4*g**3 + 12*g**2 = 0 for g.
0, 3
Factor -2*d**2/9 + 1112*d/9.
-2*d*(d - 556)/9
Factor 2*n**2/3 + 440*n/21 - 256/21.
2*(n + 32)*(7*n - 4)/21
Solve -4*m**3 - 40*m**2 + 148*m - 104 = 0 for m.
-13, 1, 2
Suppose -2*m**5/17 + 8*m**4/17 + 24*m**3/17 = 0. What is m?
-2, 0, 6
Find h such that 5*h**4 - 35*h**3 + 60*h**2 = 0.
0, 3, 4
Factor y**4/8 + 5*y**3/4 + 21*y**2/8 - y/2 - 7/2.
(y - 1)*(y + 2)**2*(y + 7)/8
Suppose 4*p**2 + 108*p + 504 = 0. What is p?
-21, -6
Solve -3*y**2 - 9330*y + 9333 = 0.
-3111, 1
Determine a so that -a**3/3 + 11*a**2/3 + 74*a/3 + 32 = 0.
-3, -2, 16
Factor g**4 + 13*g**3 + 42*g**2 - 36*g - 216.
(g - 2)*(g + 3)*(g + 6)**2
Find c such that 2*c**4/11 - 4*c**3/11 - 6*c**2/11 + 8*c/11 + 8/11 = 0.
-1, 2
Factor 196*u**3 - 16688*u**2 - 48880*u - 35200.
4*(u - 88)*(7*u + 10)**2
Let -y**3/9 + 22*y**2/9 + 131*y/9 + 12 = 0. What is y?
-4, -1, 27
Factor -2*b**5/5 - 12*b**4/5 + 64*b**2/5.
-2*b**2*(b - 2)*(b + 4)**2/5
Determine j so that 5*j**5 + 20*j**4 - 2010*j**3 - 27540*j**2 - 112995*j - 87480 = 0.
-9, -1, 24
Factor -7*s**3/2 - 79*s**2 + 69*s/2.
-s*(s + 23)*(7*s - 3)/2
Find a, given that -2*a**3/7 - 186*a**2/7 + 2448*a/7 - 1080 = 0.
-105, 6
Factor 3*r**3 - 9*r**2 - 30*r.
3*r*(r - 5)*(r + 2)
Solve -20*y**3 + 124*y**2 - 236*y + 132 = 0.
1, 11/5, 3
Solve -2*d**2 + 136*d - 2312 = 0 for d.
34
Factor -3*y**2 - 315*y + 642.
-3*(y - 2)*(y + 107)
Let 15*f**2/4 - 87*f = 0. Calculate f.
0, 116/5
Factor -3*f**4 - 15*f**3 + 18*f**2.
-3*f**2*(f - 1)*(f + 6)
Let 49*v**4/3 + 280*v**3/3 + 568*v**2/3 + 160*v + 48 = 0. What is v?
-2, -6/7
Factor 5*u**2/6 + 925*u/3 + 171125/6.
5*(u + 185)**2/6
Factor -7*w**4/3 - 40*w**3/3 - 24*w**2 - 32*w/3 + 16/3.
-(w + 2)**3*(7*w - 2)/3
Find x such that -x**2/3 - 12*x - 81 = 0.
-27, -9
Determine g, given that -g**2/7 - 4*g/7 + 5/7 = 0.
-5, 1
Find p, given that -3*p**4 - 507*p**3 - 504*p**2 = 0.
-168, -1, 0
Factor -q**2/2 + 229*q.
-q*(q - 458)/2
Solve x**2/5 + 10*x + 96/5 = 0.
-48, -2
Factor 4*o**4 + 1144*o**3 + 80640*o**2 - 165888*o.
4*o*(o - 2)*(o + 144)**2
Determine o so that 3*o**4 + 456*o**3 + 20946*o**2 + 274968*o + 1090827 = 0.
-67, -9
Factor 2*l**3/11 - 10*l**2/11 - 48*l/11.
2*l*(l - 8)*(l + 3)/11
Find g such that 3*g**5 + 372*g**4 - 1521*g**3