*3/9 + 28*n**2/9 - 46*n/9 + 8/9 = 0.
-4, 1/5, 1
Factor 4*n**3 + 20*n**2 + 16*n.
4*n*(n + 1)*(n + 4)
Solve 2*l**4/13 + 16*l**3/13 - 6*l**2/13 - 124*l/13 + 112/13 = 0.
-7, -4, 1, 2
Let 33*q**4 + 129*q**3/2 + 30*q**2 - 3*q/2 = 0. What is q?
-1, 0, 1/22
Let 2*v**4/11 + 620*v**3/11 + 46136*v**2/11 - 299568*v/11 = 0. Calculate v.
-158, 0, 6
Suppose -u**4/2 - 67*u**3/4 - 136*u**2 + 289*u/4 = 0. What is u?
-17, 0, 1/2
Find f, given that -142*f**3/9 + 46*f**2/3 + 32*f + 8/9 = 0.
-1, -2/71, 2
Factor 2*f**2/3 + 4*f/3.
2*f*(f + 2)/3
Let -3*n**4 - 78*n**3 + 165*n**2 - 84*n = 0. Calculate n.
-28, 0, 1
Suppose 22*g**4 + 224*g**3 + 18*g**2 - 224*g - 40 = 0. What is g?
-10, -1, -2/11, 1
Determine s so that -5*s**2 + 1635*s + 4950 = 0.
-3, 330
Factor 4*l**5 - 32*l**4 + 60*l**3.
4*l**3*(l - 5)*(l - 3)
Let -2*r**4/11 + 18*r**3/11 + 80*r**2/11 - 96*r/11 = 0. Calculate r.
-4, 0, 1, 12
Factor 2*v**2/11 - 192*v/11 + 190/11.
2*(v - 95)*(v - 1)/11
Factor 3*o**4 - 27*o**3 + 39*o**2 + 135*o - 150.
3*(o - 5)**2*(o - 1)*(o + 2)
Factor 5*l**4 - 25*l**3 + 5*l**2 + 105*l - 90.
5*(l - 3)**2*(l - 1)*(l + 2)
Suppose 3*d**3/5 - 123*d**2/5 + 237*d/5 - 117/5 = 0. What is d?
1, 39
Factor -p**3 + 7*p**2 - 14*p + 8.
-(p - 4)*(p - 2)*(p - 1)
Factor -6*i**4 + 2632*i**3 - 1752*i**2.
-2*i**2*(i - 438)*(3*i - 2)
Suppose 5*s**2 - 140*s + 735 = 0. What is s?
7, 21
What is u in -2*u**4/3 - 104*u**3/3 + 106*u**2/3 = 0?
-53, 0, 1
Solve -v**4 + 2223*v**3/5 - 49550*v**2 + 146964*v/5 + 98568/5 = 0 for v.
-2/5, 1, 222
Let 2*h**2/5 + 88*h/5 - 18 = 0. Calculate h.
-45, 1
Find j such that j**5/3 - j**4 - 32*j**3/3 + 44*j**2 - 32*j/3 - 64 = 0.
-6, -1, 2, 4
Suppose 5*d**5 - 125*d**4 + 555*d**3 + 3065*d**2 - 560*d - 2940 = 0. Calculate d.
-3, -1, 1, 14
Determine k so that -k**4/8 - 2*k**3 - 21*k**2/4 + 27*k + 243/8 = 0.
-9, -1, 3
Factor -5*p**3 + 15*p**2 + 140*p.
-5*p*(p - 7)*(p + 4)
Suppose 3*v**3 + 3288*v**2 + 900912*v = 0. What is v?
-548, 0
Determine z, given that 14*z**5/5 + 18*z**4/5 - 2*z**3 - 18*z**2/5 - 4*z/5 = 0.
-1, -2/7, 0, 1
Find n, given that -3*n**5 + 39*n**3 + 36*n**2 = 0.
-3, -1, 0, 4
Solve p**5/2 + 9*p**4/2 + 4*p**3 = 0 for p.
-8, -1, 0
Factor 45*z**2 + 5*z - 50.
5*(z - 1)*(9*z + 10)
Determine m, given that -m**3 - m**2 + 2*m = 0.
-2, 0, 1
Factor -4*t**2 + 304*t - 5776.
-4*(t - 38)**2
Factor -3*u**2/7 + 30*u/7 - 48/7.
-3*(u - 8)*(u - 2)/7
Factor 169*d**3/3 - 340*d**2/3 + 173*d/3 - 2/3.
(d - 1)**2*(169*d - 2)/3
Factor -5*h**3/3 + 13*h**2 + 216*h + 128/3.
-(h - 16)*(h + 8)*(5*h + 1)/3
Factor 2*a**2 + 138*a - 140.
2*(a - 1)*(a + 70)
Factor 4*p**2 - 4*p.
4*p*(p - 1)
Factor -m**3/2 - 3*m**2 + 2*m + 12.
-(m - 2)*(m + 2)*(m + 6)/2
Suppose -5*a**4 - 35*a**3 + 235*a**2 + 75*a - 990 = 0. Calculate a.
-11, -2, 3
Let -2*h**5 - 4*h**4 + 50*h**3 + 4*h**2 - 48*h = 0. What is h?
-6, -1, 0, 1, 4
Let 3*b**3 - 15*b**2 + 24*b - 12 = 0. What is b?
1, 2
Factor 21*j**3 - 561*j**2 + 1350*j + 432.
3*(j - 24)*(j - 3)*(7*j + 2)
Let -3*r**2/5 - 168*r/5 + 171/5 = 0. Calculate r.
-57, 1
Solve -3*j**3/7 - 8307*j**2/7 - 7667361*j/7 - 2358991401/7 = 0.
-923
Find h such that -45*h**5 - 7890*h**4 - 464600*h**3 - 9389040*h**2 - 11908560*h - 3902240 = 0.
-58, -2/3
Let -59*g**3/3 + 62*g**2/3 - g = 0. Calculate g.
0, 3/59, 1
Factor -8*r**3/11 - 30*r**2/11 + 8*r/11.
-2*r*(r + 4)*(4*r - 1)/11
Determine j, given that 6*j**3/5 - 1626*j**2/5 - 6582*j/5 - 990 = 0.
-3, -1, 275
Factor 27*t**2/7 + 80*t/7.
t*(27*t + 80)/7
Determine d so that -4*d**4/7 + 1698*d**3/7 - 178916*d**2/7 - 273918*d/7 + 181476/7 = 0.
-2, 1/2, 213
Factor 2*q**3/3 + 86*q**2/15 + 44*q/15 - 32/15.
2*(q + 1)*(q + 8)*(5*q - 2)/15
Solve -4*c**5/9 - 2*c**4/3 + 16*c**3/9 - 2*c**2/3 = 0.
-3, 0, 1/2, 1
Factor -2*z**2/5 - 4*z - 10.
-2*(z + 5)**2/5
Suppose 5*y**4/3 + 2*y**3/3 - y**2 = 0. What is y?
-1, 0, 3/5
What is k in -4*k**5/3 - 16*k**4/3 + 16*k**3/3 + 88*k**2/3 - 4*k - 24 = 0?
-3, -1, 1, 2
Factor -5*o**2 - 13715*o + 13720.
-5*(o - 1)*(o + 2744)
Factor 2*c**4 - 504*c**3 + 40572*c**2 - 1111320*c + 9724050.
2*(c - 105)**2*(c - 21)**2
Factor -2*d**4 - 23*d**3/2 + 17*d**2 - 7*d/2.
-d*(d - 1)*(d + 7)*(4*d - 1)/2
Let 4*v**5 + 4*v**4 - 20*v**3 + 12*v**2 = 0. What is v?
-3, 0, 1
What is n in 3*n**2 + 68*n + 44 = 0?
-22, -2/3
Factor -3*m**2 + 33*m - 90.
-3*(m - 6)*(m - 5)
Suppose -4*c**3/7 + 66*c**2/7 + 184*c/7 + 114/7 = 0. Calculate c.
-3/2, -1, 19
Solve z**3/2 + 4*z**2 + 7*z/2 = 0 for z.
-7, -1, 0
Factor -m**5 - 2*m**4 + 3*m**3 + 4*m**2 - 4*m.
-m*(m - 1)**2*(m + 2)**2
Suppose 4*h**5 - 24*h**4 - 8*h**3 + 144*h**2 + 4*h - 120 = 0. Calculate h.
-2, -1, 1, 3, 5
Factor -5*b**3 + 15*b**2 + 1200*b + 6080.
-5*(b - 19)*(b + 8)**2
Factor 2*i**2 + 468*i.
2*i*(i + 234)
Solve -2*x**4 + 15*x**3 + 108*x**2 - 973*x + 1176 = 0.
-8, 3/2, 7
Factor 5*z**5/2 - 4*z**4 - 2*z**3.
z**3*(z - 2)*(5*z + 2)/2
Let -4*b**4 - 31*b**3/4 - 7*b**2/2 + b/4 = 0. What is b?
-1, 0, 1/16
Factor -c**4/10 - 4*c**3/5 - 2*c**2 - 8*c/5.
-c*(c + 2)**2*(c + 4)/10
Let -2*x**5/9 + 46*x**4/9 - 128*x**3/3 + 144*x**2 - 96*x - 288 = 0. Calculate x.
-1, 6
What is r in -3*r**5/7 + 58*r**4/7 + 562*r**3/7 + 1536*r**2/7 + 1521*r/7 + 486/7 = 0?
-3, -1, -2/3, 27
Let 49*j**4/6 + 665*j**3/6 - 53*j**2 - 170*j/3 - 28/3 = 0. What is j?
-14, -2/7, 1
Factor -5*m**4 - 5*m**3 + 30*m**2.
-5*m**2*(m - 2)*(m + 3)
Let 4*t**3/3 - 68*t**2/3 + 36*t + 60 = 0. What is t?
-1, 3, 15
Determine y, given that -y**4/7 + 81*y**3/7 - 459*y**2/7 + 675*y/7 = 0.
0, 3, 75
What is m in 2*m**3 - 6*m**2 + 4*m = 0?
0, 1, 2
Find c, given that 3*c**3 + 24*c**2 + 21*c = 0.
-7, -1, 0
Factor 20*j**2 + 948*j + 376.
4*(j + 47)*(5*j + 2)
Factor 3*g**5 - 18*g**4 + 15*g**3 + 36*g**2.
3*g**2*(g - 4)*(g - 3)*(g + 1)
Suppose -2*u**3/7 + 24*u**2/7 = 0. Calculate u.
0, 12
Suppose 3*z**2 + 309*z + 5520 = 0. What is z?
-80, -23
Factor 5*f**4 - 3935*f**3 + 11760*f**2 + 20*f - 15680.
5*(f - 784)*(f - 2)**2*(f + 1)
Let 5*h**4 - 15*h**3 + 10*h**2 = 0. What is h?
0, 1, 2
Factor d**4/4 + 15*d**3/4 - 4*d**2.
d**2*(d - 1)*(d + 16)/4
Factor -p**3 + 23*p**2 - 94*p + 72.
-(p - 18)*(p - 4)*(p - 1)
Determine x so that -x**3 + 64*x**2 + 131*x + 66 = 0.
-1, 66
Find r, given that 15*r**4/2 - 41*r**3/3 - 10*r**2/3 + 4*r/3 = 0.
-2/5, 0, 2/9, 2
Factor 2*y**4/11 + 16*y**3/11 - 84*y**2 - 1408*y - 6050.
2*(y - 25)*(y + 11)**3/11
Determine l, given that -l**5/4 - l**4/2 + l**3/2 + 2*l**2 + 7*l/4 + 1/2 = 0.
-1, 2
Factor z**4 + 25*z**3 + 47*z**2 + 23*z.
z*(z + 1)**2*(z + 23)
Factor -3*c**2/7 - 1368*c/7 - 12069/7.
-3*(c + 9)*(c + 447)/7
Determine a so that a**2/2 = 0.
0
Factor -h**2/4 + 15*h/2 - 209/4.
-(h - 19)*(h - 11)/4
Find b such that -b**4 - 7*b**3 + 30*b**2 = 0.
-10, 0, 3
Solve -64*g**3 + 324*g**2 + 480*g - 3008 = 0 for g.
-47/16, 4
Find w such that -4*w**5 + 240*w**4 - 3812*w**3 + 5768*w**2 + 15312*w - 26912 = 0.
-2, 2, 29
Factor g**4 - 732*g**3 + 177870*g**2 - 14165900*g - 44118375.
(g - 245)**3*(g + 3)
Solve 3*h**5 + 21*h**4 - 69*h**3 - 429*h**2 + 498*h + 840 = 0.
-7, -5, -1, 2, 4
Let 4*o**3/3 - 8*o**2 + 12*o = 0. What is o?
0, 3
Factor t**2 - 16*t + 28.
(t - 14)*(t - 2)
Factor 3*l**4 - 105*l**3 + 102*l**2.
3*l**2*(l - 34)*(l - 1)
Factor n**2 + 45*n + 506.
(n + 22)*(n + 23)
Factor -f**2 + 5454*f - 7436529.
-(f - 2727)**2
Suppose -3*s**3 + 171*s**2 - 333*s + 165 = 0. Calculate s.
1, 55
Find p such that -3*p**2 - 12*p + 36 = 0.
-6, 2
Let -2*k**3 + 30*k**2 - 126*k + 98 = 0. What is k?
1, 7
Find y such that 14*y**5 + 3958*y**4 - 13102*y**3 + 15418*y**2 - 7432*y + 1144 = 0.
-286, 2/7, 1
Factor 15*g**3 - 535*g**2 - 180*g.
5*g*(g - 36)*(3*g + 1)
Solve w**4 - 12*w**3 + 49*w**2 - 78*w + 40 = 0 for w.
1, 2, 4, 5
Solve 20*c**5/3 - 112*c**4/3 + 128*c**3/3 = 0.
0, 8/5, 4
Let -3*h**4 + 3*h**2 = 0. Calculate h.
-1, 0, 1
Determine j, given that 5*j**5/4 - 8*j**4 - 37*j**3/4 = 0.
-1, 0, 37/5
Suppose n**3/4 - 43*n**2/2 + 1339*n/4 - 627/2 = 0. What is n?
1, 19, 66
Find l such that -104*l**3/3 + 488*l**2/3 - 298*l/3 + 40/3 = 0.
5/26, 1/2, 4
Factor 3*p**2 + 27*p + 42.
3*(p + 2)*(p + 7)
Determine z so that z**3/3 - 2*z**2 - 40*z/3 = 0.
-4, 0, 10
Determine c, given that 20*c**2 - 10552*c - 4224 = 0.
-2/5, 528
Factor 6*t**3 - 63*t**2 - 393*t - 180.
3*(t - 15)*(t + 4)*(2*t + 1)
Factor 4*c**3 - 64*c**2 + 180*c + 648.
4*(c - 9)**2*(c + 2)
Factor 154*h**3 + 744*h**2 + 536*h + 96.
2*(h + 4)*(7*h + 2)*(11*h + 6)
Solve -3*w