126.
-(o - 21)*(o + 18)/3
Factor 3*o**3/5 - 168*o**2/5 + 327*o/5 - 162/5.
3*(o - 54)*(o - 1)**2/5
Factor -3*u**4/2 + 21*u**3/2 - 9*u**2.
-3*u**2*(u - 6)*(u - 1)/2
Factor -k**3/5 + 4*k**2/5 - k + 2/5.
-(k - 2)*(k - 1)**2/5
Determine z, given that -z**4/4 + 5*z**3/2 - 13*z**2/4 - 15*z - 9 = 0.
-1, 6
Suppose -2*g**2 - 16*g - 32 = 0. Calculate g.
-4
What is u in -2*u**4 - 12*u**3 + 458*u**2 + 468*u = 0?
-18, -1, 0, 13
Determine p, given that -2*p**3 - 1072*p**2 - 142570*p + 289444 = 0.
-269, 2
Factor 3*w**4/7 - 222*w**3/7 - 456*w**2/7.
3*w**2*(w - 76)*(w + 2)/7
Solve 2*v**5/9 - 2*v**4/9 - 46*v**3/9 - 26*v**2/3 - 4*v = 0.
-3, -1, 0, 6
Factor 2*p**2/5 - 2272*p/5 + 645248/5.
2*(p - 568)**2/5
What is m in -2*m**3/13 - 140*m**2/13 - 274*m/13 - 136/13 = 0?
-68, -1
What is y in 4*y**5/9 - 56*y**4/9 + 80*y**3/3 - 32*y**2 = 0?
0, 2, 6
Factor 4*a**4 - 92*a**3 - 100*a**2 + 92*a + 96.
4*(a - 24)*(a - 1)*(a + 1)**2
Factor -2*n**4/9 + 16*n**3/9 - 8*n**2/3.
-2*n**2*(n - 6)*(n - 2)/9
Factor 4*c**2 - 2080*c + 270400.
4*(c - 260)**2
Factor -3*i**2 - 132*i - 1020.
-3*(i + 10)*(i + 34)
Suppose -s**2/6 - s/2 - 1/3 = 0. What is s?
-2, -1
Factor 4*j**2/9 + 74*j/9 - 38/9.
2*(j + 19)*(2*j - 1)/9
Solve -x**4 + 570*x**3 - 568*x**2 - 570*x + 569 = 0 for x.
-1, 1, 569
Let -h**5/2 + 6*h**4 - 9*h**3/2 - 11*h**2 = 0. Calculate h.
-1, 0, 2, 11
Factor -c**3/5 - 2*c**2/5.
-c**2*(c + 2)/5
Suppose h**4/3 + 245*h**3/3 + 243*h**2 + 727*h/3 + 242/3 = 0. What is h?
-242, -1
Find z, given that 3*z**2 - 1200*z + 120000 = 0.
200
Find a, given that 2*a**3 + 92*a**2/7 + 174*a/7 + 72/7 = 0.
-3, -4/7
Factor w**4/2 + 21*w**3/2 + 78*w**2 + 248*w + 288.
(w + 4)**3*(w + 9)/2
Determine l so that l**3/3 + 89*l**2/3 - 92*l = 0.
-92, 0, 3
Suppose 2*t**5/5 + 14*t**4 + 684*t**3/5 + 848*t**2/5 - 6656*t/5 - 12288/5 = 0. Calculate t.
-16, -4, -2, 3
Factor y**4/2 - 2*y**3 - 3*y**2/2 + 7*y - 4.
(y - 4)*(y - 1)**2*(y + 2)/2
What is p in 2*p**2/15 - 4*p/5 = 0?
0, 6
Find c such that 5*c**3 - 5*c = 0.
-1, 0, 1
Let i**2 - 13*i - 14 = 0. What is i?
-1, 14
Determine b so that -75*b**4 - 1287*b**3/4 - 1251*b**2/4 - 273*b/4 - 9/4 = 0.
-3, -1, -1/4, -1/25
Factor 2*o**4/7 - 96*o**2/7 + 256*o/7.
2*o*(o - 4)**2*(o + 8)/7
Suppose 14*c**3 - 13*c**2 - c = 0. What is c?
-1/14, 0, 1
Factor -2*o**2/9 - 136*o/9 - 2312/9.
-2*(o + 34)**2/9
Suppose 3*n**2 + 621*n + 2436 = 0. What is n?
-203, -4
Factor 2*p**2 + 578*p - 1164.
2*(p - 2)*(p + 291)
What is b in -4*b**3/5 - 102*b**2/5 + 52*b/5 = 0?
-26, 0, 1/2
Factor 2*o**3/3 + 538*o**2/3 + 1058*o + 1578.
2*(o + 3)**2*(o + 263)/3
Solve -2*h**5 + 18*h**4 - 56*h**3 + 72*h**2 - 32*h = 0 for h.
0, 1, 2, 4
Suppose 3*b**2 - 774*b + 49923 = 0. What is b?
129
Factor 3*j**2 + 210*j + 1488.
3*(j + 8)*(j + 62)
Factor 22*g**3/5 + 26*g**2/5 - 8*g - 8/5.
2*(g - 1)*(g + 2)*(11*g + 2)/5
Factor g**2/4 + 167*g/2 + 27889/4.
(g + 167)**2/4
Let 9*z**2/4 - 265*z - 59 = 0. Calculate z.
-2/9, 118
Factor 2*n**3/9 - 2*n/9.
2*n*(n - 1)*(n + 1)/9
Find i such that 3*i**2/8 + 33*i/8 - 63/4 = 0.
-14, 3
Let 3115*j**4 + 6200*j**3/3 - 9365*j**2/3 - 6200*j/3 + 20/3 = 0. What is j?
-1, -2/3, 2/623, 1
Find p, given that 4*p**4 - 24*p**3 - 188*p**2 + 240*p + 400 = 0.
-5, -1, 2, 10
Solve 190*c**3/3 + 946*c**2/3 + 1120*c/3 - 8 = 0 for c.
-3, -2, 2/95
Find a, given that 4*a**2/3 - 1632*a + 4892/3 = 0.
1, 1223
What is q in -6*q**5 + 44*q**4 - 40*q**3 - 240*q**2 + 256*q + 256 = 0?
-2, -2/3, 2, 4
Factor -5*g**2 - 385*g - 380.
-5*(g + 1)*(g + 76)
Factor -3*q**3 + 171*q**2 - 168*q.
-3*q*(q - 56)*(q - 1)
Solve 50*i**4/9 + 154*i**3/9 + 18*i**2 + 62*i/9 + 4/9 = 0 for i.
-1, -2/25
Suppose -f**5 + 251*f**4 - 21643*f**3 + 692793*f**2 - 4566456*f + 8503056 = 0. Calculate f.
4, 81
Solve -4*b**5/13 + 2*b**4 + 496*b**3/13 + 226*b**2/13 - 240*b/13 = 0.
-8, -1, 0, 1/2, 15
Factor a**3 + 117*a**2/4 + 29*a/4.
a*(a + 29)*(4*a + 1)/4
Factor 3*w**2/4 - 1404*w + 657072.
3*(w - 936)**2/4
Factor -34*f**2 - 620*f - 144.
-2*(f + 18)*(17*f + 4)
Factor j**3/3 - 4*j**2 - 5*j + 26/3.
(j - 13)*(j - 1)*(j + 2)/3
Factor i**5 + 42*i**4 + 228*i**3 + 440*i**2 + 288*i.
i*(i + 2)**3*(i + 36)
Let 5*r**2 + 3535*r + 3530 = 0. What is r?
-706, -1
Solve -98*f**2 - 252*f - 162 = 0 for f.
-9/7
What is f in f**3/6 - 47*f**2/6 - 9*f + 48 = 0?
-3, 2, 48
Let p**2/4 + 5*p/2 - 11/4 = 0. Calculate p.
-11, 1
Factor 5*o**2 - 9140*o + 4176980.
5*(o - 914)**2
Factor 10*p**3/3 + 156*p**2 - 358*p + 196/3.
2*(p - 2)*(p + 49)*(5*p - 1)/3
Determine j so that 4*j**3/7 - 11*j**2/7 - 115*j/7 - 4 = 0.
-4, -1/4, 7
Factor 5*x**2 + 295*x.
5*x*(x + 59)
Let 50*p**5 - 16110*p**4 + 19258*p**3 + 654*p**2 - 3852*p = 0. Calculate p.
-2/5, 0, 3/5, 1, 321
What is v in 546*v**5 + 2038*v**4/3 + 136*v**3 + 8*v**2/3 = 0?
-1, -2/9, -2/91, 0
Factor 6*y**3/7 - 180*y**2/7 + 318*y/7 + 72.
6*(y - 28)*(y - 3)*(y + 1)/7
Determine d, given that -d**4/6 - 19*d**3/3 + 14*d**2 + 76*d/3 - 160/3 = 0.
-40, -2, 2
Factor -b**2 + 330*b - 27225.
-(b - 165)**2
Factor -2*d**2 - 230*d + 708.
-2*(d - 3)*(d + 118)
Factor -2*l**2/5 - 42*l + 212/5.
-2*(l - 1)*(l + 106)/5
Factor 3*c**4 + 864*c**3 - 3*c**2 - 864*c.
3*c*(c - 1)*(c + 1)*(c + 288)
Solve -h**2 - 42*h - 441 = 0 for h.
-21
Factor -5*y**5 - 60*y**4 + 2235*y**3 + 27230*y**2 - 249900*y - 3087000.
-5*(y - 15)**2*(y + 14)**3
Solve 2*a**5/5 + 56*a**4/5 - 328*a**3/5 + 108*a**2/5 + 270*a - 1188/5 = 0.
-33, -2, 1, 3
Let -j**3/4 + 25*j**2/2 - 143*j - 338 = 0. Calculate j.
-2, 26
What is r in 4*r**2 - 64*r + 240 = 0?
6, 10
Find s such that -s**5 + 12*s**4 + 66*s**3 - 920*s**2 + 1599*s - 756 = 0.
-9, 1, 7, 12
Factor -3*c**3/5 + 6*c**2 - 81*c/5 + 54/5.
-3*(c - 6)*(c - 3)*(c - 1)/5
Factor -5*m**4 + 17*m**3 - 6*m**2.
-m**2*(m - 3)*(5*m - 2)
Factor -3*j**3 - 57*j**2 + 192*j - 132.
-3*(j - 2)*(j - 1)*(j + 22)
Let -2*n**3/11 + 2*n**2 + 388*n/11 + 672/11 = 0. What is n?
-8, -2, 21
Factor -4*d**2 - 192*d + 2052.
-4*(d - 9)*(d + 57)
Factor -12*o**3 + 28*o**2 + 280*o - 96.
-4*(o - 6)*(o + 4)*(3*o - 1)
Factor -5*t**4 - 45*t**3 - 35*t**2 + 45*t + 40.
-5*(t - 1)*(t + 1)**2*(t + 8)
Suppose 3*a**2 - 105*a - 882 = 0. Calculate a.
-7, 42
Let -j**2/3 - 83*j/3 + 210 = 0. What is j?
-90, 7
Factor 48*g**3 + 212*g**2 - 136*g + 20.
4*(g + 5)*(3*g - 1)*(4*g - 1)
Determine z so that -z**3/12 + 5*z**2/12 - 2*z/3 + 1/3 = 0.
1, 2
Factor m**3/4 + 7*m**2/4 + 3*m/2.
m*(m + 1)*(m + 6)/4
Suppose 8*f**3/3 - 359*f**2/3 + 643*f/3 + 86/3 = 0. Calculate f.
-1/8, 2, 43
Determine v so that -3*v**4 + 15*v**3 + 39*v**2 + 21*v = 0.
-1, 0, 7
Factor 2*v**3/3 + 24*v**2 + 88*v + 256/3.
2*(v + 2)**2*(v + 32)/3
Let -2*i**3/3 + 56*i**2/3 - 442*i/3 + 676/3 = 0. What is i?
2, 13
Factor -s**4/12 - 73*s**3/6 - 600*s**2 - 10368*s - 18432.
-(s + 2)*(s + 48)**3/12
Suppose -c**4/3 + 13*c**3/3 - 35*c**2/3 - 13*c/3 + 12 = 0. Calculate c.
-1, 1, 4, 9
Factor -245*o**3 + 22190*o**2 - 12620*o + 1800.
-5*(o - 90)*(7*o - 2)**2
Solve -5*o**4 + 15*o**2 + 10*o = 0 for o.
-1, 0, 2
Let -20*w**3 + 108*w**2 - 28*w - 60 = 0. What is w?
-3/5, 1, 5
Suppose -2*w**4/3 + 13*w**3 - 27*w**2 - 71*w/3 + 17 = 0. Calculate w.
-1, 1/2, 3, 17
Find n, given that -2*n**3 + 154*n**2 + 640*n + 648 = 0.
-2, 81
Let -12*a**3/5 - 51*a**2/5 + 18*a/5 + 189/5 = 0. What is a?
-3, 7/4
What is o in 28*o**4 + 54*o**3 + 24*o**2 - 2*o = 0?
-1, 0, 1/14
Factor 2*s**2 - 84*s - 176.
2*(s - 44)*(s + 2)
Let 9*w**5/2 - 26*w**4 + 105*w**3/2 - 41*w**2 + 6*w + 4 = 0. What is w?
-2/9, 1, 2
Factor 2*l**5 + 3*l**4 - l**2.
l**2*(l + 1)**2*(2*l - 1)
Let u**5/2 + 19*u**4/2 + 79*u**3/2 - 119*u**2/2 - 40*u + 50 = 0. Calculate u.
-10, -1, 1
Suppose 4*b**5 + 32*b**4 + 92*b**3 + 112*b**2 + 48*b = 0. What is b?
-3, -2, -1, 0
Factor -2*y**4 + 2*y**3 + 20*y**2 - 8*y - 48.
-2*(y - 3)*(y - 2)*(y + 2)**2
Factor -4*h**2 + 10232*h - 6543364.
-4*(h - 1279)**2
Factor q**5/2 + 2*q**4 + q**3 - 2*q**2 - 3*q/2.
q*(q - 1)*(q + 1)**2*(q + 3)/2
Factor -9*u**3/11 - 178*u**2/11 + 40*u/11.
-u*(u + 20)*(9*u - 2)/11
Factor z**2 + 74*z + 213.
(z + 3)*(z + 71)
Determine v so that v**5/5 - 78*v**4/5 + 302*v**3/5 - 448*v**2/5 + 297*v/5 - 74/5 = 0.
1, 74
Determine g, given that 3*g**5/5 + 1347*g**4/5 + 151872*g**3/5 + 150528*g**2/5 = 0.
-224, -1, 0
Determine h, given that 245*h**4 - 30170*h**3 + 915785*h**2 + 801660*h + 172980 = 0.
-3/7, 62
Factor 5*n**3 - 720*n**2 + 25920*n.
5*n*(n - 72)**2
Factor 4*i**2/9 + 248*i/9 + 3844/9.
4*(i