, 0
Factor 2*t**3/9 + 2386*t**2/9 + 708032*t/9 - 715208/3.
2*(t - 3)*(t + 598)**2/9
Factor -2*g**3/7 - 22*g**2/7 + 12*g.
-2*g*(g - 3)*(g + 14)/7
Factor 27*c**3 - 2748*c**2 + 69615*c + 15606.
3*(c - 51)**2*(9*c + 2)
Factor -j**4/3 - 4*j**3 - 29*j**2/3 - 6*j.
-j*(j + 1)*(j + 2)*(j + 9)/3
What is r in -2*r**4/13 - 4*r**3/13 + 6*r**2/13 = 0?
-3, 0, 1
Solve -i**2/4 - 9*i/4 + 28 = 0 for i.
-16, 7
Solve 5*w**3 - 70*w**2 + 105*w + 180 = 0.
-1, 3, 12
Factor -l**4/7 + 33*l**3/7 - 81*l**2/7 - 265*l/7 - 150/7.
-(l - 30)*(l - 5)*(l + 1)**2/7
Solve -10*g**2/11 - 62*g/11 + 2124/11 = 0 for g.
-18, 59/5
Factor 1922*i**4 - 23126*i**3 + 139873*i**2/2 - 2238*i + 18.
(i - 6)**2*(62*i - 1)**2/2
Solve 2*y**2 + 16*y - 40 = 0.
-10, 2
Factor 3*s**2 - 3*s.
3*s*(s - 1)
Find a such that 2*a**4 - 26*a**3 + 104*a**2 - 120*a = 0.
0, 2, 5, 6
Suppose -2*q**2/3 - 77*q/6 - 58 = 0. Calculate q.
-12, -29/4
Suppose -116*v**2/5 + 229*v/5 + 6/5 = 0. Calculate v.
-3/116, 2
Determine i so that -2*i**5/9 + 8*i**4/9 - 2*i**3/9 - 20*i**2/9 + 8*i/9 + 16/9 = 0.
-1, 2
Factor -j**4/7 + 87*j**3/7.
-j**3*(j - 87)/7
Factor -7*y**2 + 16*y - 9.
-(y - 1)*(7*y - 9)
What is u in 15*u**5 - 100*u**4 + 80*u**3/3 + 560*u**2/3 + 80*u = 0?
-2/3, 0, 2, 6
Determine t so that -2*t**5 + 38*t**4 - 244*t**3 + 640*t**2 - 576*t = 0.
0, 2, 4, 9
Solve -f**2 - 89*f + 90 = 0 for f.
-90, 1
Factor -60*s**3 - 1180*s**2 + 1225*s - 310.
-5*(2*s - 1)**2*(3*s + 62)
Let -10*t**2/3 + 184*t/3 - 24 = 0. What is t?
2/5, 18
Factor a**3/8 + 3*a**2/2 - 99*a/8 + 81/4.
(a - 3)**2*(a + 18)/8
Find a such that -2*a**4/5 + 2*a**3/5 + 26*a**2/5 - 10*a + 24/5 = 0.
-4, 1, 3
Solve 2*y**4/5 - 2*y**3 - 2*y**2/5 + 2*y = 0.
-1, 0, 1, 5
Factor 3*v**2 + 33*v - 936.
3*(v - 13)*(v + 24)
Suppose 2*n**2/3 + 26*n/9 - 20/9 = 0. What is n?
-5, 2/3
Factor 5*z**2 - 45.
5*(z - 3)*(z + 3)
Solve x**2/8 - 5*x/8 + 1/2 = 0.
1, 4
Factor -5*a**2/8 + 71*a/8 - 7/4.
-(a - 14)*(5*a - 1)/8
Determine u so that 98*u**4 + 448*u**3 - 258*u**2 - 248*u - 40 = 0.
-5, -2/7, 1
Factor 5*o**4 + 50*o**3 + 160*o**2 + 160*o.
5*o*(o + 2)*(o + 4)**2
Factor h**3 - 121*h**2 + 2904*h + 47916.
(h - 66)**2*(h + 11)
Let -5*q**2 - 70*q - 120 = 0. Calculate q.
-12, -2
Find j, given that -4*j**2 + 76*j + 80 = 0.
-1, 20
Factor 2*x**3 + 6*x**2 + 4*x.
2*x*(x + 1)*(x + 2)
Let -h**3/2 + 65*h**2 - 507*h/2 + 189 = 0. What is h?
1, 3, 126
Factor -2*b**2/5 + 18*b/5 - 16/5.
-2*(b - 8)*(b - 1)/5
Factor -v**2/7 + 108*v/7 - 416/7.
-(v - 104)*(v - 4)/7
Factor -a**2/5 - 24*a/5.
-a*(a + 24)/5
Factor -4*b**2 + 24912*b + 24916.
-4*(b - 6229)*(b + 1)
Let 3*g**5 + 63*g**4 + 504*g**3 + 1884*g**2 + 3168*g + 1728 = 0. Calculate g.
-6, -4, -1
Solve -196*f**3 + 15792*f**2 - 8976*f + 1280 = 0 for f.
2/7, 80
Factor -2*l**2/5 - 724*l - 327610.
-2*(l + 905)**2/5
Factor 28*c**4 - 400*c**3 + 784*c**2 - 192*c.
4*c*(c - 12)*(c - 2)*(7*c - 2)
Determine u so that -4*u**4/5 - 72*u**3/5 - 64*u**2/5 + 72*u/5 + 68/5 = 0.
-17, -1, 1
What is u in -4*u**2 - 17904*u - 20034576 = 0?
-2238
Factor a**3/4 - 9*a**2/4 - 17*a/2 - 6.
(a - 12)*(a + 1)*(a + 2)/4
Factor -2*j**4/3 + 10*j**3/3 + 26*j**2/3 + 14*j/3.
-2*j*(j - 7)*(j + 1)**2/3
Let -5*a**3 - 245*a**2 - 2375*a + 2625 = 0. What is a?
-35, -15, 1
Solve -4*j**5 - 52*j**4 + 492*j**3 - 1292*j**2 + 1336*j - 480 = 0.
-20, 1, 2, 3
Find u such that 3*u**5 - 12*u**4 - 18*u**3 + 12*u**2 + 15*u = 0.
-1, 0, 1, 5
Find o such that 81*o**5/5 + 45*o**4 - 807*o**3/5 + 99*o**2 + 126*o/5 - 24 = 0.
-5, -4/9, 2/3, 1
Factor -3*c**2 + 5091*c + 10194.
-3*(c - 1699)*(c + 2)
Factor 2*v**3 - 6*v - 4.
2*(v - 2)*(v + 1)**2
Determine p so that -2*p**4/9 - 8*p**3 - 872*p**2/9 - 448*p - 6272/9 = 0.
-14, -4
Let 2*l**2/5 + 42*l/5 - 44/5 = 0. What is l?
-22, 1
Factor -m**4/3 - 164*m**3/3 - 320*m**2 - 1904*m/3 - 1264/3.
-(m + 2)**3*(m + 158)/3
Factor m**4/2 + 7*m**3/2 - 4*m**2.
m**2*(m - 1)*(m + 8)/2
Let 2*r**5/15 - 2*r**4/5 = 0. Calculate r.
0, 3
Factor -10*v**2/9 + 44356*v/9 + 17744/9.
-2*(v - 4436)*(5*v + 2)/9
Factor -2*g**5 - 6*g**4 + 12*g**3 + 20*g**2 - 42*g + 18.
-2*(g - 1)**3*(g + 3)**2
Let -2*h**3 - 2*h**2 + 4*h = 0. Calculate h.
-2, 0, 1
Find p such that 44*p**4 + 72*p**3 - 3156*p**2 - 2032*p + 1152 = 0.
-9, -1, 4/11, 8
Factor -r**2 - 36*r + 205.
-(r - 5)*(r + 41)
Factor -2*t**2 + 496*t - 30752.
-2*(t - 124)**2
Suppose -6*y**5 + 1966*y**4/3 - 52906*y**3/3 - 42790*y**2/3 + 12100*y/3 = 0. Calculate y.
-1, 0, 2/9, 55
Solve -3*r**4/2 - 333*r**3/4 - 381*r**2/2 + 1737*r/4 - 159 = 0.
-53, -4, 1/2, 1
Factor -2*l**3/3 + 6*l**2 + 2*l/3 - 6.
-2*(l - 9)*(l - 1)*(l + 1)/3
Find i, given that -228*i**3/5 + 1059*i**2/5 + 399*i/5 + 6 = 0.
-1/4, -2/19, 5
Determine i, given that 20*i**4 + 132*i**3 - 240*i**2 - 1904*i - 2112 = 0.
-33/5, -2, 4
What is s in -3*s**4/8 - 9*s**3/8 + 3*s**2/8 + 9*s/8 = 0?
-3, -1, 0, 1
Find w, given that -20*w**5 - 88*w**4 + 8*w**3 + 256*w**2 - 84*w - 72 = 0.
-3, -2/5, 1
Factor -9*o**3/4 + 87*o**2/2 - 55*o + 18.
-(o - 18)*(3*o - 2)**2/4
What is f in -f**2 + 909*f + 910 = 0?
-1, 910
What is r in r**3 + 15*r**2 + 44*r = 0?
-11, -4, 0
Find c, given that 2*c**5 - 54*c**4 - 314*c**3 - 202*c**2 + 312*c + 256 = 0.
-4, -1, 1, 32
What is o in -2*o**3/7 - 16*o**2/7 + 38*o/7 - 20/7 = 0?
-10, 1
Factor -5*m**2 + 20*m + 25.
-5*(m - 5)*(m + 1)
Factor 10*s**3/7 + 376*s**2/7 + 214*s - 660/7.
2*(s + 5)*(s + 33)*(5*s - 2)/7
Factor 2*i**4/15 - 46*i**3/15 + 86*i**2/15 - 14*i/5.
2*i*(i - 21)*(i - 1)**2/15
Factor -4*n**4 + 536*n**3 + 540*n**2.
-4*n**2*(n - 135)*(n + 1)
What is c in 9*c**2/5 - 156*c + 255 = 0?
5/3, 85
Find t such that 2*t**5/7 + 18*t**4/7 + 46*t**3/7 - 18*t**2/7 - 216*t/7 - 216/7 = 0.
-3, -2, 2
Factor -p**5/2 + 9*p**4/2 - 15*p**3/2 - 25*p**2/2.
-p**2*(p - 5)**2*(p + 1)/2
Determine t so that t**5/3 + 13*t**4/3 + 50*t**3/3 + 32*t**2/3 - 32*t = 0.
-6, -4, 0, 1
Factor v**4/4 - 21*v**3/4 + 135*v**2/4 - 243*v/4.
v*(v - 9)**2*(v - 3)/4
Factor w**2 + 404*w.
w*(w + 404)
Let 15*y**3/2 - 295*y**2/2 - 1220*y - 390 = 0. Calculate y.
-6, -1/3, 26
Let -2*s**2/5 + 2638*s/5 - 2636/5 = 0. Calculate s.
1, 1318
Factor -3*h**2/8 - 117*h + 471/2.
-3*(h - 2)*(h + 314)/8
Factor -5*f**2 + 555*f + 560.
-5*(f - 112)*(f + 1)
Let 5*i**4 + 70*i**3 + 60*i**2 - 1350*i + 1215 = 0. Calculate i.
-9, 1, 3
Factor 123*w**3 - 249*w**2 + 129*w - 3.
3*(w - 1)**2*(41*w - 1)
Solve 2*l**5 + 16*l**4/3 - 34*l**3/3 - 4*l**2/3 + 16*l/3 = 0 for l.
-4, -2/3, 0, 1
Solve -k**5/2 - k**4/2 + 11*k**3 + 20*k**2 = 0 for k.
-4, -2, 0, 5
Factor -245*v**4 - 875*v**3 - 440*v**2 - 60*v.
-5*v*(v + 3)*(7*v + 2)**2
Find b such that 2*b**4 - 4552*b**3 + 3451932*b**2 - 871034472*b - 874490958 = 0.
-1, 759
Determine r, given that 14*r**5/3 + 404*r**4/3 + 3988*r**3/3 + 14416*r**2/3 + 3066*r - 540 = 0.
-10, -9, -1, 1/7
Factor 4*i**3/5 - 2370*i**2 + 8779368*i/5 - 4386722/5.
2*(i - 1481)**2*(2*i - 1)/5
Factor -t**4/4 + 67*t**3/4 - 537*t**2/4 + 845*t/4 + 725/2.
-(t - 58)*(t - 5)**2*(t + 1)/4
Determine t so that 405*t**3 - 131040*t**2 - 58300*t - 6480 = 0.
-2/9, 324
Let -f**2/2 - 1541*f - 2374681/2 = 0. What is f?
-1541
Factor 3*k**4/2 - 249*k**3/2 + 5289*k**2/2 - 5043*k/2.
3*k*(k - 41)**2*(k - 1)/2
Determine m, given that 20*m**4 - 48*m**3 + 36*m**2 - 8*m = 0.
0, 2/5, 1
Factor 3*x**2/4 - 144*x + 6912.
3*(x - 96)**2/4
Find q, given that 5*q**4 + 235*q**3 - 1360*q**2 - 121380*q = 0.
-34, 0, 21
Factor w**3/3 - 116*w**2 + 231*w - 346/3.
(w - 346)*(w - 1)**2/3
What is c in c**4/4 + 5*c**3/2 + 29*c**2/4 + 8*c + 3 = 0?
-6, -2, -1
What is t in -3*t**3/4 - 39*t**2/2 + 42*t = 0?
-28, 0, 2
Suppose i**5/3 - 2*i**4/3 - 8*i**3/3 - 2*i**2/3 + 7*i/3 + 4/3 = 0. Calculate i.
-1, 1, 4
Factor 3*p**3 - 6*p**2 - 21*p - 12.
3*(p - 4)*(p + 1)**2
Determine z, given that -2*z**2/3 + 92*z/3 - 176/3 = 0.
2, 44
Factor 3*x**2/2 - 117*x + 675/2.
3*(x - 75)*(x - 3)/2
Let -4*n**3 - 260*n**2 + 548*n + 804 = 0. What is n?
-67, -1, 3
What is n in 3*n**5/4 - 15*n**4/2 + 99*n**3/4 - 27*n**2 = 0?
0, 3, 4
Suppose -2*d**5 - 2*d**4 + 66*d**3 - 126*d**2 = 0. What is d?
-7, 0, 3
Solve 45*d**2 - 100*d + 20 = 0.
2/9, 2
Determine p, given that -2*p**3/5 - 28*p**2 - 534*p/5 - 396/5 = 0.
-66, -3, -1
Factor -i**2/2 - 43*i/2.
-i*(i + 43)/2
Solve 5*f**3/2 + 35*f**2 + 125*f/2 + 30 = 0 for f.
-12, -1
What is f in 21*f**4 + 132*f**3 + 204*f**2 + 48*f = 0?
-4, -2, -2/7, 0
Factor -2*w**3 + 66*w**2 + 296*w.
-2*w*(w - 37)*(w + 4)
Solve -t*