 - 24649/2 = 0. Calculate v.
157
Determine m so that -16*m**5/3 - 140*m**4/3 + 404*m**3/3 + 52*m**2/3 - 388*m/3 + 88/3 = 0.
-11, -1, 1/4, 1, 2
Factor -x**3/4 - 969*x**2/2 - 312987*x - 67396534.
-(x + 646)**3/4
Factor 2*g**2/7 - 428*g/7 + 22898/7.
2*(g - 107)**2/7
Factor 3*c**4/5 + 18*c**3/5 + 3*c**2.
3*c**2*(c + 1)*(c + 5)/5
Solve 2*i**5/7 - 34*i**4/7 + 152*i**3/7 - 120*i**2/7 = 0.
0, 1, 6, 10
Suppose -w**2/2 + 5*w/2 - 3 = 0. What is w?
2, 3
Solve -2*d**4/3 - 122*d**3/9 - 154*d**2/9 - 38*d/9 = 0.
-19, -1, -1/3, 0
Solve -4*d**5 + 148*d**4 - 1100*d**3 + 2588*d**2 - 192*d - 4032 = 0 for d.
-1, 3, 4, 28
What is p in 16*p**5 + 1000*p**4 + 2409*p**3 + 527*p**2 - 778*p + 120 = 0?
-60, -2, -1, 1/4
What is y in -9*y**4 - 66*y**3 - 15*y**2 + 42*y = 0?
-7, -1, 0, 2/3
Solve -5*p**4/2 + 5*p**3 - 5*p**2/2 = 0 for p.
0, 1
Suppose 5*v**4 - 10*v**3 - 5*v**2 + 10*v = 0. What is v?
-1, 0, 1, 2
Suppose -60*t**5 + 476*t**4 + 80*t**3 - 368*t**2 - 128*t = 0. Calculate t.
-2/3, -2/5, 0, 1, 8
Factor 5*g**2 - 2490*g + 310005.
5*(g - 249)**2
Let -f**3/7 + 193*f**2/7 + f/7 - 193/7 = 0. What is f?
-1, 1, 193
Factor -2*k**3/15 - 418*k**2/15 - 4240*k/3 + 22472/5.
-2*(k - 3)*(k + 106)**2/15
Determine k, given that -2*k**4 + 23*k**3 - 93*k**2 + 152*k - 80 = 0.
1, 5/2, 4
Determine w so that -20*w**2 + 192*w + 80 = 0.
-2/5, 10
Find o, given that -4*o**2/3 + 452*o/3 - 448/3 = 0.
1, 112
Suppose a**4/2 - a**3/2 - 9*a**2 + 26*a - 20 = 0. What is a?
-5, 2
Solve -3*s**2 - 585*s = 0.
-195, 0
Solve -i**5/6 - i**4/3 + i**3 + 4*i**2/3 - 5*i/6 - 1 = 0.
-3, -1, 1, 2
Suppose -96*t**5 + 388*t**4 - 612*t**3 + 468*t**2 - 172*t + 24 = 0. Calculate t.
3/8, 2/3, 1
Factor -2*o**3/3 - 4*o**2/3 + 142*o/3 + 48.
-2*(o - 8)*(o + 1)*(o + 9)/3
Let 4*i**5 + 28*i**4 - 36*i**3 - 28*i**2 + 32*i = 0. What is i?
-8, -1, 0, 1
Suppose -3*x**4 + 15*x**3 - 9*x**2 - 15*x + 12 = 0. Calculate x.
-1, 1, 4
Factor -5*w**2 - 340*w.
-5*w*(w + 68)
Let 2*o**5/7 - 10*o**4/7 - 26*o**3/7 + 130*o**2/7 + 72*o/7 - 360/7 = 0. Calculate o.
-3, -2, 2, 3, 5
Factor 2*h**3/13 + 64*h**2/13 - 206*h/13 + 140/13.
2*(h - 2)*(h - 1)*(h + 35)/13
Factor -l**2/4 - 25*l/2 + 26.
-(l - 2)*(l + 52)/4
Determine l so that -6*l**4/13 - 4*l**3 - 126*l**2/13 - 48*l/13 + 32/13 = 0.
-4, -1, 1/3
Find w such that -w**5/2 - 13*w**4/8 + 9*w**2/8 = 0.
-3, -1, 0, 3/4
Factor -t**3 + 130*t**2 + 131*t.
-t*(t - 131)*(t + 1)
Let 75*f**4 - 85*f**3 - 290*f**2 + 340*f - 40 = 0. Calculate f.
-2, 2/15, 1, 2
Factor -2*u**4/17 - 40*u**3/17 - 296*u**2/17 - 960*u/17 - 1152/17.
-2*(u + 4)**2*(u + 6)**2/17
Find t such that t**5/4 + t**4 - 7*t**3/4 - 17*t**2/2 - 6*t = 0.
-4, -2, -1, 0, 3
What is s in 21*s**2 + 1077*s + 306 = 0?
-51, -2/7
Factor 2*x**3 - 20*x**2 + 24*x + 144.
2*(x - 6)**2*(x + 2)
Factor 5*z**4 + 20*z**3 - 25*z**2 - 180*z - 180.
5*(z - 3)*(z + 2)**2*(z + 3)
Factor -3*l**3/4 - 21*l**2 - 423*l/4 - 297/2.
-3*(l + 3)**2*(l + 22)/4
Factor -2*c**5/9 - 4*c**4/9.
-2*c**4*(c + 2)/9
Find r such that -2*r**5/9 - 2*r**4/3 + 2*r**3/9 + 2*r**2/3 = 0.
-3, -1, 0, 1
Suppose 5*k**5 - 20*k**4 + 50*k**2 - 5*k - 30 = 0. Calculate k.
-1, 1, 2, 3
Factor -7*t**4/4 + 5*t**3/4 + 71*t**2/2 + 10*t.
-t*(t - 5)*(t + 4)*(7*t + 2)/4
Solve -c**5/2 + 9*c**4 - 31*c**3/2 - 9*c**2 + 16*c = 0 for c.
-1, 0, 1, 2, 16
Suppose -2*z**4 + 84*z**3 + 282*z**2 - 524*z - 720 = 0. Calculate z.
-4, -1, 2, 45
Let 3*q**4/2 - 49*q**3 - 18*q**2 + 49*q + 33/2 = 0. What is q?
-1, -1/3, 1, 33
Let -2*j**5/17 - 6*j**4/17 + 10*j**3/17 + 6*j**2/17 - 8*j/17 = 0. What is j?
-4, -1, 0, 1
Factor 4*m**4 - 24*m**3 + 36*m**2 - 16*m.
4*m*(m - 4)*(m - 1)**2
Factor -4*b**2 + 3236*b.
-4*b*(b - 809)
Factor 5*o**2/6 + 45*o/2.
5*o*(o + 27)/6
Factor -n**2/11 + 14*n/11.
-n*(n - 14)/11
Suppose -57*s**4/5 + 336*s**3/5 - 648*s**2/5 + 384*s/5 + 48/5 = 0. What is s?
-2/19, 2
Factor -4*c**3 - 36*c**2 + 1144*c.
-4*c*(c - 13)*(c + 22)
Factor w**3/3 + 398*w**2/3 + 13332*w + 26136.
(w + 2)*(w + 198)**2/3
Let 3*h**3/4 - 5481*h**2/4 + 2506185*h/4 - 2500707/4 = 0. What is h?
1, 913
Solve 7*o**3/2 - 11*o**2/2 - 5*o + 4 = 0 for o.
-1, 4/7, 2
Factor 6*x**3/5 - 3042*x**2 + 9646938*x/5 - 9631734/5.
6*(x - 1267)**2*(x - 1)/5
Find o such that -30*o**4 + 292*o**3 - 670*o**2 - 200*o = 0.
-4/15, 0, 5
Factor 5*a**3 - 250*a**2 + 3565*a - 10580.
5*(a - 23)**2*(a - 4)
Factor 5*b**2 - 3950*b + 3945.
5*(b - 789)*(b - 1)
Factor 15*i**3/4 - 100*i**2 - 135*i/4.
5*i*(i - 27)*(3*i + 1)/4
Factor -106*v**2/5 + 108*v/5 - 2/5.
-2*(v - 1)*(53*v - 1)/5
Let 3*g**2 - 12*g - 36 = 0. Calculate g.
-2, 6
Find y such that y**2/2 + 41*y/6 - 7/3 = 0.
-14, 1/3
Factor 2*b**2 + 4*b - 6.
2*(b - 1)*(b + 3)
Let 3*d**5 + 12*d**4 = 0. Calculate d.
-4, 0
Suppose -4*p**4 + 4*p**3 + 144*p**2 - 144*p = 0. What is p?
-6, 0, 1, 6
Solve 4*r**3 - 52*r**2 - 16*r + 208 = 0.
-2, 2, 13
Find z such that 5*z**3 + 320*z**2 - 1340*z + 1360 = 0.
-68, 2
Factor 20*k**4 + 16*k**3 - 80*k**2 - 64*k.
4*k*(k - 2)*(k + 2)*(5*k + 4)
Solve 5*k**3 - 105*k**2 + 100*k = 0.
0, 1, 20
Suppose 2*i**4/13 + 20*i**3/13 + 40*i**2/13 - 80*i/13 - 192/13 = 0. Calculate i.
-6, -4, -2, 2
Suppose 2*a**2/3 + 980*a/3 + 120050/3 = 0. What is a?
-245
Solve 5*p**2 - 50*p/3 - 65/3 = 0.
-1, 13/3
Determine o so that o**3/2 + 111*o**2/2 + 2907*o/2 - 9747/2 = 0.
-57, 3
Suppose -14*k**2 - 38*k + 12 = 0. What is k?
-3, 2/7
Factor 2*w**3 + 90*w**2 + 1134*w + 2646.
2*(w + 3)*(w + 21)**2
Factor -2*z**4/9 + 4*z**3/3 - 22*z**2/9 + 4*z/3.
-2*z*(z - 3)*(z - 2)*(z - 1)/9
Suppose 4*q**4/3 - 4*q**3 + 16*q/3 = 0. What is q?
-1, 0, 2
Determine f, given that -2*f**3/7 - 24*f**2/7 - 88*f/7 - 96/7 = 0.
-6, -4, -2
Factor -m**2 - 150*m + 151.
-(m - 1)*(m + 151)
Suppose -420*m**5 + 57*m**4 + 480*m**3 - 69*m**2 - 60*m + 12 = 0. Calculate m.
-1, -2/5, 1/4, 2/7, 1
Factor l**3 - 10*l**2 + 16*l.
l*(l - 8)*(l - 2)
Suppose -5*j**3 - 14940*j**2 - 11175105*j - 22290490 = 0. What is j?
-1493, -2
Solve -4*l**2 - 1532*l = 0 for l.
-383, 0
Suppose 6*r**5/19 + 560*r**4/19 - 378*r**3/19 - 188*r**2/19 = 0. Calculate r.
-94, -1/3, 0, 1
What is x in 4*x**2 - 1696*x + 8380 = 0?
5, 419
Let -a**2/4 + 9*a/2 - 14 = 0. Calculate a.
4, 14
Factor 2*n**2/5 - 40*n + 582/5.
2*(n - 97)*(n - 3)/5
Factor d**3/6 - 169*d**2 + 43344*d - 254016.
(d - 504)**2*(d - 6)/6
Let 4*t**5/3 + 25*t**4/2 + 65*t**3/2 + 215*t**2/6 + 35*t/2 + 3 = 0. Calculate t.
-6, -1, -3/8
Find n, given that -102*n**5/5 - 284*n**4/5 - 844*n**3/15 - 24*n**2 - 22*n/5 - 4/15 = 0.
-1, -1/3, -2/17
Factor 3*i**5 + 21*i**4 + 51*i**3 + 51*i**2 + 18*i.
3*i*(i + 1)**2*(i + 2)*(i + 3)
Factor 5*v**2 - 740*v - 1500.
5*(v - 150)*(v + 2)
Let -4*m**4 - 16080*m**3 - 24240600*m**2 - 16241202000*m - 4080602002500 = 0. Calculate m.
-1005
Determine s so that 40*s**2/3 - 86*s/3 + 4 = 0.
3/20, 2
Factor p**4/8 + 25*p**3 + 1299*p**2 + 4900*p + 4802.
(p + 2)**2*(p + 98)**2/8
Determine h so that 3*h**5 + 6*h**4 - 3*h**3 - 6*h**2 = 0.
-2, -1, 0, 1
Solve -12*u**4 + 212*u**3 + 308*u**2 - 68*u - 152 = 0.
-1, 2/3, 19
Factor -z**5 - 6*z**4 - 13*z**3 - 12*z**2 - 4*z.
-z*(z + 1)**2*(z + 2)**2
Factor 42*p**4 + 233*p**3 - 112*p**2 + 12*p.
p*(p + 6)*(6*p - 1)*(7*p - 2)
Factor -3*m**3/2 - 27*m**2 - 99*m/2 - 24.
-3*(m + 1)**2*(m + 16)/2
Factor -g**2/3 - 14*g/3 + 5.
-(g - 1)*(g + 15)/3
Factor 380689*y**2 + 1234*y + 1.
(617*y + 1)**2
Find a, given that a**5 - 21*a**3 - 20*a**2 = 0.
-4, -1, 0, 5
Factor 4*s**3/11 - 10*s**2/11 + 8*s/11 - 2/11.
2*(s - 1)**2*(2*s - 1)/11
Factor 2*h**3/9 - 2*h**2 - 68*h/9 - 16/3.
2*(h - 12)*(h + 1)*(h + 2)/9
Suppose -2*n**4/9 + 1150*n**3/9 + 2306*n**2/9 + 1154*n/9 = 0. What is n?
-1, 0, 577
Determine j so that -3*j**3/2 - 21*j**2 - 105*j/2 - 33 = 0.
-11, -2, -1
Factor -t**5/3 + 2*t**4/3 - 2*t**2/3 + t/3.
-t*(t - 1)**3*(t + 1)/3
Solve -5*f**2 - 110*f - 200 = 0.
-20, -2
Factor z**3/4 + 83*z**2/4 - 178*z + 364.
(z - 4)**2*(z + 91)/4
Determine t so that -3*t**3/7 - 654*t**2/7 + 1317*t/7 - 660/7 = 0.
-220, 1
Factor -3*p**3 - 85*p**2 + 454*p - 264.
-(p - 4)*(p + 33)*(3*p - 2)
Factor b**2/2 - 6944*b + 24109568.
(b - 6944)**2/2
Factor -5*t**2 - 45*t + 260.
-5*(t - 4)*(t + 13)
Factor -q**4/9 - 7*q**3/9 - 14*q**2/9 - 8*q/9.
-q*(q + 1)*(q + 2)*(q + 4)/9
Determine f, given that 10*f**5 - 255*f**4 - 2640*f**3 - 8215*f**2 - 9600*f - 3060 = 0.
-3, -2, -1/2, 34
Suppose 3*j**3/5 - 57*j**2/5 + 48*j/5 + 108/5 = 0. Calculate j.
-1, 2, 18
Find s, given that -s*