4)
Factor g**3/3 - 2*g**2/3 - 4*g/3 + 8/3.
(g - 2)**2*(g + 2)/3
Factor 2*a**2 - 1398*a + 2788.
2*(a - 697)*(a - 2)
Factor w**3/5 + 16*w**2/5 + 41*w/5 + 26/5.
(w + 1)*(w + 2)*(w + 13)/5
Factor -7*k**3 - 34*k**2 - 52*k - 24.
-(k + 2)**2*(7*k + 6)
Find m, given that -2*m**3/13 - 42*m**2/13 + 108*m/13 + 368/13 = 0.
-23, -2, 4
Solve -5*t**2 + 30*t + 35 = 0.
-1, 7
Find q such that -2*q**4 - 474*q**3 + 1440*q**2 = 0.
-240, 0, 3
Suppose -y**2/6 - 548*y/3 - 150152/3 = 0. Calculate y.
-548
Factor 5*g**3 - 570*g**2 + 1045*g + 8400.
5*(g - 112)*(g - 5)*(g + 3)
Determine m so that -3*m**5/5 - 9*m**4/5 + 93*m**3/5 + 33*m**2/5 - 234*m/5 - 168/5 = 0.
-7, -1, 2, 4
Solve d**4 - 66*d**3 + 1089*d**2 = 0 for d.
0, 33
Find v such that 24*v**3 + 124*v**2 + 116*v + 16 = 0.
-4, -1, -1/6
Solve -2*k**3 + 54*k**2 - 480*k + 1400 = 0.
7, 10
Solve -g**2/5 - 72*g/5 - 28 = 0 for g.
-70, -2
Factor -3*q**5/7 + 45*q**4/7 - 150*q**3/7 + 30*q**2 - 135*q/7 + 33/7.
-3*(q - 11)*(q - 1)**4/7
Factor 3*z**2 + 357*z - 726.
3*(z - 2)*(z + 121)
Factor -2*i**4 - 972*i**3 + 8856*i**2 - 26676*i + 26730.
-2*(i - 3)**3*(i + 495)
What is o in -o**5/3 - o**4 + o**3/3 + o**2 = 0?
-3, -1, 0, 1
Find u such that -2*u**3/3 + 2*u**2/3 + 150*u - 150 = 0.
-15, 1, 15
Factor -2*p**2 + 5500*p - 3781250.
-2*(p - 1375)**2
Solve -21*t**3 - 24*t**2 + 15*t + 18 = 0 for t.
-1, 6/7
Find g such that -4*g**5 + 347*g**4 + 795*g**3 + 533*g**2 + 89*g = 0.
-1, -1/4, 0, 89
Factor -3*h**2 - 555*h - 1638.
-3*(h + 3)*(h + 182)
Factor -2*r**2 + 740*r - 68450.
-2*(r - 185)**2
Factor -2*b**3/7 - 194*b**2/7 - 382*b/7 - 190/7.
-2*(b + 1)**2*(b + 95)/7
Factor -21*c**3 - 554*c**2 - 204*c + 104.
-(c + 26)*(3*c + 2)*(7*c - 2)
Let 27*c**4/7 - 3420*c**3/7 + 105996*c**2/7 + 145920*c/7 + 49152/7 = 0. What is c?
-2/3, 64
Determine m, given that 4*m**5/7 + 4*m**4 - 12*m**3 - 76*m**2/7 + 272*m/7 - 144/7 = 0.
-9, -2, 1, 2
Determine g, given that 3*g**3 - 10941*g**2 + 9969984*g + 9980928 = 0.
-1, 1824
Factor -5*n**3 + 1045*n**2 - 2070*n.
-5*n*(n - 207)*(n - 2)
Find p such that 4*p**2 - 16808*p + 16804 = 0.
1, 4201
Factor -2*j**4/21 + 80*j**3/21 - 312*j**2/7 + 864*j/7.
-2*j*(j - 18)**2*(j - 4)/21
Find u such that 3*u**3 + 11*u**2 - 78*u - 56 = 0.
-7, -2/3, 4
Factor 5*b**2 - 580*b + 16820.
5*(b - 58)**2
Determine c so that 3*c**3/4 + 75*c**2/4 + 429*c/4 - 507/4 = 0.
-13, 1
Suppose 12*a**2/7 - 3*a/7 = 0. Calculate a.
0, 1/4
Determine a so that -69*a**5 - 213*a**4 - 156*a**3 - 12*a**2 = 0.
-2, -1, -2/23, 0
Factor -52*h**2 + 304*h + 48.
-4*(h - 6)*(13*h + 2)
Let -8*y**2/13 - 42*y/13 - 54/13 = 0. What is y?
-3, -9/4
Factor 2*m**4/7 + 12*m**3/7 + 6*m**2/7 - 20*m/7.
2*m*(m - 1)*(m + 2)*(m + 5)/7
Factor -u**4/2 + 11*u**3 + 159*u**2/2 + 126*u.
-u*(u - 28)*(u + 3)**2/2
What is q in q**2 - 30*q - 31 = 0?
-1, 31
Determine s so that -12*s**5 + 44*s**4 - 8*s**3 - 56*s**2 + 20*s + 12 = 0.
-1, -1/3, 1, 3
What is s in -4*s**2 + 48*s - 80 = 0?
2, 10
Let -2*f**5/7 - 24*f**4/7 - 106*f**3/7 - 220*f**2/7 - 216*f/7 - 80/7 = 0. Calculate f.
-5, -2, -1
Determine u, given that -2*u**4/9 - 68*u**3/9 + 2*u**2/9 + 68*u/9 = 0.
-34, -1, 0, 1
Factor -w**3 - 67*w**2 - 1155*w - 1089.
-(w + 1)*(w + 33)**2
Factor 3*o**3 + 552*o**2 + 1095*o + 546.
3*(o + 1)**2*(o + 182)
Suppose k**5/3 - 10*k**4/3 + 26*k**3/3 - 8*k**2/3 - 9*k + 6 = 0. What is k?
-1, 1, 3, 6
Factor 4*a**4 - 228*a**3 + 3240*a**2 - 17712*a + 33696.
4*(a - 39)*(a - 6)**3
Let -2*q**5/13 + 70*q**4/13 - 724*q**3/13 + 1484*q**2/13 + 5430*q/13 + 3150/13 = 0. Calculate q.
-1, 7, 15
Find y such that 4*y**3 - 704*y**2 - 5156*y + 5856 = 0.
-8, 1, 183
Factor -k**2/3 + 509*k/3 - 338.
-(k - 507)*(k - 2)/3
Determine r, given that 4*r**3 + 1092*r**2 + 99372*r + 3014284 = 0.
-91
Factor 2*y**3 - 52*y**2 + 338*y.
2*y*(y - 13)**2
Find b such that b**3 - 127*b**2 = 0.
0, 127
Factor -i**4/6 - i**3 + 145*i**2/6 + 25*i.
-i*(i - 10)*(i + 1)*(i + 15)/6
Solve 4*f**3 - 16*f**2 - 20*f = 0.
-1, 0, 5
Factor -p**2/5 + 514*p/5 - 66049/5.
-(p - 257)**2/5
Factor -2*k**3 - 4*k**2.
-2*k**2*(k + 2)
Factor -2*q**4 - 18*q**3 - 24*q**2 + 160*q + 384.
-2*(q - 3)*(q + 4)**3
Solve 5*u**2/8 + 41*u/4 + 4 = 0.
-16, -2/5
Solve -v**4 + 2*v**3 + 11*v**2 - 12*v = 0.
-3, 0, 1, 4
Determine y so that -y**2 + 37*y/3 + 26/3 = 0.
-2/3, 13
Factor 3*l**3 + 10*l**2 + 4*l - 8.
(l + 2)**2*(3*l - 2)
Factor 14*z**2/11 - 30*z - 144/11.
2*(z - 24)*(7*z + 3)/11
Let -2*p**2/9 + 134*p/9 + 136/9 = 0. Calculate p.
-1, 68
Factor 363*n**3 - 1419*n**2 - 1872*n - 540.
3*(n - 5)*(11*n + 6)**2
Factor 4*b**3 - 16*b**2 - 16*b + 64.
4*(b - 4)*(b - 2)*(b + 2)
Factor -y**2/4 + 5*y/2 + 11/4.
-(y - 11)*(y + 1)/4
Factor -v**3 + 402*v**2 - 53868*v + 2406104.
-(v - 134)**3
Let -c**5/2 + 8*c**4 - 19*c**3 - 8*c**2 + 39*c/2 = 0. Calculate c.
-1, 0, 1, 3, 13
Factor w**3/4 - 191*w**2/4 + 9579*w/4 - 43245/4.
(w - 93)**2*(w - 5)/4
Find b, given that b**2 + 68*b + 756 = 0.
-54, -14
Factor 5*w**2/4 + 155*w/4 - 40.
5*(w - 1)*(w + 32)/4
Solve h**2 - 10*h + 9 = 0.
1, 9
Solve -4*o**4/5 - 37*o**3/5 - 87*o**2/5 - 79*o/5 - 5 = 0 for o.
-25/4, -1
Let -3*z**2 + 4860*z - 1968300 = 0. Calculate z.
810
Factor 22*c**4/21 + 16*c**3/7 + 8*c**2/21.
2*c**2*(c + 2)*(11*c + 2)/21
Determine f, given that 2*f**4/5 + 116*f**3/5 - 488*f**2/5 + 496*f/5 = 0.
-62, 0, 2
Factor -z**3/3 + 56*z**2/3 - 109*z/3 + 18.
-(z - 54)*(z - 1)**2/3
Factor -4*m**3 - 292*m**2 - 556*m + 852.
-4*(m - 1)*(m + 3)*(m + 71)
Factor 2*s**3/11 - 30*s**2/11 - 162*s/11 + 190/11.
2*(s - 19)*(s - 1)*(s + 5)/11
Factor -l**2/5 - 202*l/5 - 10201/5.
-(l + 101)**2/5
Factor 8*h**2/7 - 46*h/7 + 8.
2*(h - 4)*(4*h - 7)/7
Find s, given that 2*s**3/5 + 98*s**2 + 974*s/5 + 486/5 = 0.
-243, -1
Find f such that 4*f**3 - 1663*f**2 + 172640*f + 43264 = 0.
-1/4, 208
Factor -3*k**2 - 54*k - 51.
-3*(k + 1)*(k + 17)
Factor -36*b**3 - 232*b**2 - 420*b - 144.
-4*(b + 3)**2*(9*b + 4)
Let -8*r**5 - 54*r**4 - 12*r**3 + 146*r**2 - 72 = 0. Calculate r.
-6, -2, -3/4, 1
Factor -i**4/10 + i**3/10 + 2*i**2/5 - 2*i/5.
-i*(i - 2)*(i - 1)*(i + 2)/10
Let 2*d**3/5 - 452*d**2/5 - 182*d - 456/5 = 0. What is d?
-1, 228
Let -p**5/5 + 6*p**4/5 + p**3/5 - 6*p**2/5 = 0. What is p?
-1, 0, 1, 6
Solve -r**2/5 - 14*r/5 - 33/5 = 0.
-11, -3
Suppose 112*h**4 - 4*h**3 - 336*h**2 - 212*h + 8 = 0. What is h?
-1, 1/28, 2
Find g such that g**4/8 - g**3 - 13*g**2/8 + 4*g + 9/2 = 0.
-2, -1, 2, 9
Let -a**2/6 - 170*a/3 - 993/2 = 0. Calculate a.
-331, -9
Solve -3*c**4/5 + 936*c**3/5 - 1863*c**2/5 + 186*c = 0.
0, 1, 310
Suppose 4*n**3 + 60*n**2 + 252*n + 196 = 0. What is n?
-7, -1
Factor -3*g**3 + 93*g**2 - 309*g - 405.
-3*(g - 27)*(g - 5)*(g + 1)
Factor -p**2/5 + 7*p/5 + 18/5.
-(p - 9)*(p + 2)/5
Determine t, given that -108*t**2/7 - 36*t/7 - 3/7 = 0.
-1/6
Solve u**4/2 - 29*u**3/2 - 31*u**2 = 0.
-2, 0, 31
Suppose -2*i**5/7 - 1018*i**4/7 - 129028*i**3/7 + 18724*i**2 + 129030*i/7 - 130050/7 = 0. What is i?
-255, -1, 1
Solve -g**4/5 - 3*g**3/5 + g**2/5 + 3*g/5 = 0.
-3, -1, 0, 1
Solve 4*c**2 + 76*c - 3360 = 0.
-40, 21
Find j, given that 3*j**5 - 39*j**3 + 108*j = 0.
-3, -2, 0, 2, 3
Suppose 3*b**3/7 - 447*b**2/7 - 4296*b/7 + 4740/7 = 0. Calculate b.
-10, 1, 158
Factor -2*p**2 + 10*p + 28.
-2*(p - 7)*(p + 2)
Determine w, given that -5*w**2 + 950*w - 945 = 0.
1, 189
Let l**2/2 + 20*l/3 + 13/6 = 0. Calculate l.
-13, -1/3
Factor -3*l**3 - 117*l**2 - 114*l.
-3*l*(l + 1)*(l + 38)
Solve 5*f**4/4 - 85*f**3/2 + 1425*f**2/4 - 590*f + 275 = 0 for f.
1, 10, 22
Factor 2*v**4 + 6*v**3 - 18*v**2 - 54*v.
2*v*(v - 3)*(v + 3)**2
Factor 36*g**2 - 107760*g + 80640400.
4*(3*g - 4490)**2
Solve -2*g**3/7 - 10*g**2/7 - 4*g/7 + 16/7 = 0.
-4, -2, 1
Let -5*t**5/11 - 57*t**4/11 - 72*t**3/11 - 20*t**2/11 = 0. What is t?
-10, -1, -2/5, 0
Factor -8*c**3/7 - 104*c**2/7 + 110*c/7 - 4.
-2*(c + 14)*(2*c - 1)**2/7
Let -z**2/10 - 77*z/10 - 488/5 = 0. What is z?
-61, -16
Determine g so that -30*g**5 - 445*g**4 - 2260*g**3 - 3910*g**2 + 1650*g + 7875 = 0.
-5, -3, 7/6
Find u such that 2*u**3 - 6*u**2 + 4*u = 0.
0, 1, 2
What is d in -d**2 + 10554*d - 27846729 = 0?
5277
Factor 2*x**2/13 + 1052*x/13 + 138338/13.
2*(x + 263)**2/13
Factor 2*p**2/15 + 16*p/5 + 88/15.
2*(p + 2)*(p + 22)/15
Suppose 2*z**3 + 268*z**2 - 3154*z + 5220 = 0. What is z?
-145, 2, 9
Factor 3*c**2/7 + 402*c/7 + 57.
3*(c + 1)*(c + 133)/7
Solve 45*a**5 - 105*a**4 - 295*a**3 - 55*a**2 + 130*a + 40 =