= 0.
-42, -4, 2/3, 1
Factor -g**5/3 + 2*g**4/3 + 2*g**3 - 20*g**2/3 + 19*g/3 - 2.
-(g - 2)*(g - 1)**3*(g + 3)/3
Factor -3*d**4 - 153*d**3 - 2148*d**2 - 4608*d + 6912.
-3*(d - 1)*(d + 4)*(d + 24)**2
Suppose -3*m**2/4 + 4224*m - 5947392 = 0. What is m?
2816
Suppose o**3/5 + 6*o**2 + 83*o/5 + 54/5 = 0. Calculate o.
-27, -2, -1
Factor -3*n**2 - 216*n.
-3*n*(n + 72)
Suppose -g**2/3 + 68*g/3 - 384 = 0. What is g?
32, 36
Suppose -q**4/7 - 76*q**3/7 + 234*q**2/7 - 236*q/7 + 79/7 = 0. What is q?
-79, 1
Factor -3*j**2/2 + 9*j/2 - 3.
-3*(j - 2)*(j - 1)/2
Find l such that l**4/2 + 29*l**3/2 + 55*l**2/2 + 27*l/2 = 0.
-27, -1, 0
Solve -14*k**4/19 - 274*k**3/19 - 146*k**2/19 + 6*k = 0 for k.
-19, -1, 0, 3/7
Let 5*r**3 + 130*r**2 + 125*r = 0. Calculate r.
-25, -1, 0
Factor -4*c**2 + 2612*c - 2608.
-4*(c - 652)*(c - 1)
Factor -i**2/4 - 3*i/4 + 5/2.
-(i - 2)*(i + 5)/4
Solve 40*j**5/3 - 118*j**4/3 + 38*j**3 - 34*j**2/3 - 2*j/3 = 0 for j.
-1/20, 0, 1
Factor 3*d**2/5 - 1212*d/5 - 2436/5.
3*(d - 406)*(d + 2)/5
Factor 4*f**3/5 + 696*f**2/5 + 40368*f/5 + 780448/5.
4*(f + 58)**3/5
Factor 2*r**5/7 - 120*r**4/7 + 1500*r**3/7 - 1000*r**2 + 11250*r/7.
2*r*(r - 45)*(r - 5)**3/7
Let 4*u**4/9 - 38*u**3/9 + 26*u**2/3 - 58*u/9 + 14/9 = 0. Calculate u.
1/2, 1, 7
Suppose 5*v**2 - 14520*v + 10541520 = 0. Calculate v.
1452
Factor 3*m**3/7 + 27*m**2/7.
3*m**2*(m + 9)/7
Let -5*k**4 + 530*k**3 - 14045*k**2 = 0. What is k?
0, 53
Factor -2*u**2/5 + 208*u/15 - 136/15.
-2*(u - 34)*(3*u - 2)/15
Factor -3*h**5 + 15*h**4 - 18*h**3 - 12*h**2 + 24*h.
-3*h*(h - 2)**3*(h + 1)
Factor 4*y**4 + 120*y**3 + 1188*y**2 + 4320*y + 5184.
4*(y + 3)**2*(y + 12)**2
Suppose -b**2 + 864*b - 863 = 0. Calculate b.
1, 863
Solve 100*o**5 - 83180*o**4 + 17288896*o**3 + 3514384*o**2 - 11088896*o + 2768896 = 0 for o.
-1, 2/5, 416
What is f in 4*f**3/7 - 30*f**2/7 + 8*f - 30/7 = 0?
1, 3/2, 5
Factor -2*y**2/13 + 106*y/13 - 392/13.
-2*(y - 49)*(y - 4)/13
Solve 2*d**3/3 + 110*d**2 + 4482*d - 13778/3 = 0.
-83, 1
Suppose 6*u**5/13 - 50*u**4/13 - 14*u**3 + 66*u**2/13 = 0. Calculate u.
-3, 0, 1/3, 11
Factor -2*x**2/5 + 24*x/5 - 22/5.
-2*(x - 11)*(x - 1)/5
Factor 2*k**4 + 44*k**3 + 42*k**2 - 2744*k - 2744.
2*(k - 7)*(k + 1)*(k + 14)**2
Suppose -2*n**5/5 - 6*n**4 - 124*n**3/5 - 68*n**2/5 + 126*n/5 + 98/5 = 0. What is n?
-7, -1, 1
Solve m**5 + 14*m**4 - 140*m**3 - 376*m**2 + 544*m + 1280 = 0.
-20, -2, 2, 8
Solve -361*a**4/8 + 912*a**3 - 19935*a**2/8 + 989*a/2 - 51/2 = 0.
2/19, 3, 17
Find g, given that -4*g**3/7 + 60*g**2 - 3900*g/7 + 9500/7 = 0.
5, 95
Factor -u**3/6 - 120*u**2 - 28800*u - 2304000.
-(u + 240)**3/6
Suppose -14*w**5/15 + 6*w**4/5 + 94*w**3/15 - 14*w**2/5 - 16*w/3 + 8/5 = 0. What is w?
-2, -1, 2/7, 1, 3
Solve -1107*s**2/2 + 3318*s + 18 = 0 for s.
-2/369, 6
Factor -p**4/2 - 3*p**3/2 + 3*p**2/2 + 7*p/2 - 3.
-(p - 1)**2*(p + 2)*(p + 3)/2
Factor -y**4/2 - 61*y**3/2 - 480*y**2 - 450*y.
-y*(y + 1)*(y + 30)**2/2
Solve 27*h**5 + 609*h**4 - 303*h**3 - 609*h**2 + 276*h = 0 for h.
-23, -1, 0, 4/9, 1
Factor 3*h**3/2 + 147*h**2/2 + 2001*h/2 + 4761/2.
3*(h + 3)*(h + 23)**2/2
Determine v so that 3*v**5 + 234*v**4 + 6081*v**3 + 52494*v**2 - 6084*v - 52728 = 0.
-26, -1, 1
Factor 4*v**3/7 + 76*v**2/7.
4*v**2*(v + 19)/7
Factor 2*h**5 + 16*h**4 + 46*h**3 + 56*h**2 + 24*h.
2*h*(h + 1)*(h + 2)**2*(h + 3)
Determine a so that a**5/4 - 5*a**4/4 - 19*a**3/4 + 65*a**2/4 + 75*a/2 = 0.
-3, -2, 0, 5
Factor 2*u**2/3 + 4*u/3 - 2.
2*(u - 1)*(u + 3)/3
Factor 5*p**5 - 10*p**4 - 15*p**3 + 40*p**2 - 20*p.
5*p*(p - 2)*(p - 1)**2*(p + 2)
Solve 5*v**4 - 350*v**3 - 1085*v**2 - 730*v = 0 for v.
-2, -1, 0, 73
Factor z**2 + 46*z + 45.
(z + 1)*(z + 45)
Let -9*c**4 + 2262*c**3 + 1512*c**2 = 0. What is c?
-2/3, 0, 252
Find j, given that j**3/10 - 23*j**2/10 + 43*j/10 - 21/10 = 0.
1, 21
Find u such that u**4/5 - 14*u**3 - u**2/5 + 14*u = 0.
-1, 0, 1, 70
Determine z so that -5*z**5/3 + 10*z**4/3 + 20*z**3/3 - 10*z**2/3 - 5*z = 0.
-1, 0, 1, 3
Let 4*a**3 - 36*a**2 - 48*a + 80 = 0. What is a?
-2, 1, 10
Determine k, given that -2*k**5 - 26*k**4 - 70*k**3 + 98*k**2 = 0.
-7, 0, 1
Factor 2*v**5 - 6*v**4 + 2*v**3 + 6*v**2 - 4*v.
2*v*(v - 2)*(v - 1)**2*(v + 1)
Factor -o**3 + 62*o**2 + 4*o - 248.
-(o - 62)*(o - 2)*(o + 2)
Let -4*p**2 - 5632*p - 1982464 = 0. Calculate p.
-704
Let y**3/7 - 23*y**2/7 + 96*y/7 - 108/7 = 0. What is y?
2, 3, 18
Factor -5*x**4 + 35*x**3 + 330*x**2 - 360*x.
-5*x*(x - 12)*(x - 1)*(x + 6)
Factor 2*v**5 - 14*v**4 + 24*v**3.
2*v**3*(v - 4)*(v - 3)
Let -3*u**3/5 - 12*u**2 - 99*u/5 + 162/5 = 0. Calculate u.
-18, -3, 1
Factor -h**2/7 + h/7 + 6/7.
-(h - 3)*(h + 2)/7
Let -35*h**5 + 50*h**4 + 425*h**3 - 200*h**2 - 240*h = 0. What is h?
-3, -4/7, 0, 1, 4
Let 2*z**3/9 + 56*z**2/9 + 392*z/9 = 0. Calculate z.
-14, 0
Solve -2*l**5/3 - 6*l**4 + 6*l**3 + 126*l**2 - 648 = 0 for l.
-6, -3, 3
Find n, given that -6724*n**5/3 + 93808*n**4/3 - 398852*n**3/3 + 464504*n**2/3 + 7792*n + 96 = 0.
-1/41, 2, 6
Factor 5*i**3 + 195*i**2 + 1995*i + 1805.
5*(i + 1)*(i + 19)**2
Factor 2*l**4/11 - 6*l**3/11 + 8*l/11.
2*l*(l - 2)**2*(l + 1)/11
Determine d so that -d**2 + 36*d - 35 = 0.
1, 35
Factor -2*k**2/3 + 28*k/3 + 64/3.
-2*(k - 16)*(k + 2)/3
Determine u so that -4*u**3 - 988*u**2 + 4*u + 988 = 0.
-247, -1, 1
Factor 5*b**4/4 + 15*b**3/2 - 45*b**2 - 230*b - 240.
5*(b - 6)*(b + 2)**2*(b + 8)/4
Solve 27*l**3/7 + 171*l**2/7 + 165*l/7 - 363/7 = 0.
-11/3, 1
Factor v**3/3 - 606*v**2 + 1211*v - 1816/3.
(v - 1816)*(v - 1)**2/3
Let -1368*h**2 - 574*h - 60 = 0. What is h?
-2/9, -15/76
Suppose 14*z**4 + 220*z**3 - 3214*z**2 + 900*z = 0. Calculate z.
-25, 0, 2/7, 9
Suppose 404*v**3/7 + 116*v**2 + 412*v/7 + 4/7 = 0. What is v?
-1, -1/101
Factor w**4/8 - 7*w**3/8 + 2*w**2 - 3*w/2.
w*(w - 3)*(w - 2)**2/8
Let 4*k**4 - 88*k**3 + 324*k**2 + 928*k + 512 = 0. Calculate k.
-1, 8, 16
Let -5*u**5 + 160*u**4 - 1090*u**3 - 3400*u**2 + 4335*u = 0. What is u?
-3, 0, 1, 17
Let -f**2 - 2*f + 15 = 0. What is f?
-5, 3
What is j in -4*j**3 - 3*j**2 + 9*j - 2 = 0?
-2, 1/4, 1
Find x such that -3698*x**4 + 21844*x**3 - 31226*x**2 - 3048*x - 72 = 0.
-2/43, 3
Suppose -2*h**3 + 24*h**2 - 58*h + 36 = 0. Calculate h.
1, 2, 9
Factor 5*i**3 + 595*i**2 + 19095*i + 81225.
5*(i + 5)*(i + 57)**2
Find y, given that -4*y**3 - 104*y**2 - 604*y - 504 = 0.
-18, -7, -1
What is j in 2*j**2/11 - 212*j/11 - 214/11 = 0?
-1, 107
Find h, given that 20*h**5 + 156*h**4 + 368*h**3 + 240*h**2 - 64*h = 0.
-4, -2, 0, 1/5
Find l such that -5*l**4 - 40*l**3 - 55*l**2 + 40*l + 60 = 0.
-6, -2, -1, 1
What is h in h**2/9 - 208*h/9 + 10816/9 = 0?
104
Factor 2*h**2/11 - 1764*h/11 + 388962/11.
2*(h - 441)**2/11
Suppose -2*w**3/5 - 1686*w**2/5 - 473766*w/5 - 44376082/5 = 0. Calculate w.
-281
Factor 2*p**2/7 + 17786*p/21 - 11860/21.
2*(p + 2965)*(3*p - 2)/21
Let -2*f**4 - 60*f**3 = 0. Calculate f.
-30, 0
Factor 4*c**2/3 + 264*c + 13068.
4*(c + 99)**2/3
Let -h**2/4 - 21*h/2 - 108 = 0. Calculate h.
-24, -18
Find m, given that 5*m**2 - 170*m + 600 = 0.
4, 30
Factor 4*r**2 - 200*r - 204.
4*(r - 51)*(r + 1)
Suppose -4*q**2 + 2032*q - 10060 = 0. Calculate q.
5, 503
Determine r so that 3*r**5 - 108*r**4 + 1296*r**3 - 5184*r**2 = 0.
0, 12
Factor -2*r**3 - 8732*r**2.
-2*r**2*(r + 4366)
Determine p so that 5*p**4/3 + 70*p**3/3 - 5*p**2/3 - 70*p/3 = 0.
-14, -1, 0, 1
Factor -4*u**2 + 1480*u - 136900.
-4*(u - 185)**2
Suppose -2*h**4/5 - 776*h**3 - 564540*h**2 - 182534600*h - 22132320250 = 0. Calculate h.
-485
Let 10*h**4/13 - 2*h**3/13 - 28*h**2/13 - 16*h/13 = 0. What is h?
-1, -4/5, 0, 2
Factor 8*m**3/11 - 78*m**2/11 + 172*m/11 + 48/11.
2*(m - 6)*(m - 4)*(4*m + 1)/11
Let -2*r**3 + 60*r**2 - 216*r + 208 = 0. Calculate r.
2, 26
Suppose -a**5/4 - 137*a**4/4 + 141*a**3/4 + 409*a**2/4 - 172*a + 69 = 0. What is a?
-138, -2, 1
Solve -g**5 + 6*g**4 + 16*g**3 = 0 for g.
-2, 0, 8
Factor k**2/3 - 61*k + 362/3.
(k - 181)*(k - 2)/3
Solve 4*r**2/7 - 964*r/7 + 1912/7 = 0 for r.
2, 239
Let -3*i**5/4 + 31*i**4/4 + 119*i**3/4 - 199*i**2/4 + 13*i = 0. What is i?
-4, 0, 1/3, 1, 13
What is p in 84*p**4 - 433*p**3 + 399*p**2 - 42*p - 8 = 0?
-2/21, 1/4, 1, 4
Solve -t**2 - 23*t - 22 = 0 for t.
-22, -1
Suppose -4*u**2 + 12*u + 16 = 0. What is u?
-1, 4
What is c in 30*c**5 - 321*c**4 - 129*c**3 + 321*c**2 + 99*c = 0?
-1, -3/10, 0, 1, 11
Find z, given that 5*z**2/3 + 125*z/3 = 0.
-25, 