 + 336*y**2 + 768*y.
-3*y*(y - 16)*(y + 4)**2
Let 2*l**2/5 + 1112*l/5 + 222 = 0. Calculate l.
-555, -1
Suppose -u**3/3 - 2*u**2 + 4*u/3 + 8 = 0. What is u?
-6, -2, 2
Factor 3*d**3 - 66*d**2 + 360*d.
3*d*(d - 12)*(d - 10)
Factor 4*g**4 + 4*g**3 - 68*g**2 - 84*g + 144.
4*(g - 4)*(g - 1)*(g + 3)**2
Suppose 2*m**5/25 - 4*m**4/25 - 16*m**3/25 = 0. What is m?
-2, 0, 4
Determine t so that 8*t**3 - 356*t**2 + 176*t = 0.
0, 1/2, 44
Factor 5*k**2 + 9080*k + 4122320.
5*(k + 908)**2
Factor 3*w**5 - 3*w**4 - 48*w**3 - 60*w**2.
3*w**2*(w - 5)*(w + 2)**2
Find x, given that -x**3/2 + 153*x**2/2 + 309*x/2 + 155/2 = 0.
-1, 155
Find n, given that n**4/5 + 3*n**3/5 - 3*n**2 + 17*n/5 - 6/5 = 0.
-6, 1
Determine m, given that 16*m**5 - 88*m**4 + 41*m**3 - 5*m**2 = 0.
0, 1/4, 5
Factor -2*n**4/3 - 8*n**3/3 + 4*n**2/3 + 8*n - 6.
-2*(n - 1)**2*(n + 3)**2/3
Suppose -5*v**2 + 150*v - 625 = 0. Calculate v.
5, 25
Determine j so that -j**4/2 - j**3/2 + j**2/2 + j/2 = 0.
-1, 0, 1
Let 5*j**5 + 15*j**4 - 5*j**3 - 35*j**2 + 20 = 0. What is j?
-2, -1, 1
Find h such that -h**3/3 + 113*h**2/3 - 748*h/3 + 212 = 0.
1, 6, 106
Factor -u**5 + 291*u**4 - 27932*u**3 + 855344*u**2 + 2765952*u + 1882384.
-(u - 98)**3*(u + 1)*(u + 2)
Factor 2*s**4/9 - 8*s**3/3 - 6*s**2 - 28*s/9.
2*s*(s - 14)*(s + 1)**2/9
Factor -2*i**2/11 - 212*i/11 - 126.
-2*(i + 7)*(i + 99)/11
Factor -2*v**4/9 - 244*v**3/9 - 470*v**2/3 - 232*v.
-2*v*(v + 3)**2*(v + 116)/9
Find y such that 2*y**3 + 25*y**2 - 14*y - 13 = 0.
-13, -1/2, 1
Find b such that b**4/3 - 6*b**2 - 32*b/3 - 5 = 0.
-3, -1, 5
Find s such that 2*s**4/23 + 78*s**3/23 + 794*s**2/23 + 570*s/23 - 1444/23 = 0.
-19, -2, 1
Factor -3*g**2 - 216*g.
-3*g*(g + 72)
Factor 2*z**4/17 + 732*z**3/17 + 65498*z**2/17 - 270840*z/17 + 273800/17.
2*(z - 2)**2*(z + 185)**2/17
Factor -5*m**3/3 + 13*m**2/3 + 26*m/3 + 8/3.
-(m - 4)*(m + 1)*(5*m + 2)/3
Factor -f**2/3 + 2*f/3 + 8/3.
-(f - 4)*(f + 2)/3
Factor -3*j**2 + 102*j + 333.
-3*(j - 37)*(j + 3)
Factor -d**2/2 - 8*d + 40.
-(d - 4)*(d + 20)/2
Solve -4*p**5 - 232*p**4/7 + 468*p**3/7 - 128*p**2/7 - 80*p/7 = 0.
-10, -2/7, 0, 1
Factor -y**5 - 9*y**4 - 5*y**3 + 29*y**2 + 42*y + 16.
-(y - 2)*(y + 1)**3*(y + 8)
Determine y, given that -y**4/4 - 29*y**3/4 - 127*y**2/4 - 171*y/4 - 18 = 0.
-24, -3, -1
Factor 3*h**4/7 - 3*h**3 - 198*h**2/7 + 1056*h/7 + 384.
3*(h - 8)**2*(h + 2)*(h + 7)/7
Find y such that 98*y**4 - 36904*y**3 + 3484776*y**2 - 1982272*y + 282752 = 0.
2/7, 188
Let 4*f**4 + 8*f**3 - 1452*f**2 - 1456*f + 132496 = 0. What is f?
-14, 13
Suppose -f**5 - 1816*f**4 - 1098073*f**3 - 220343418*f**2 + 443988324*f - 222545016 = 0. Calculate f.
-606, 1
Solve -a**3 + 110*a**2 - 807*a - 918 = 0 for a.
-1, 9, 102
Find t, given that -4*t**3 - 52*t**2 + 272*t = 0.
-17, 0, 4
Factor -2*i**2/5 + 12*i/5 - 18/5.
-2*(i - 3)**2/5
Let -p**3/3 + 10*p**2/3 + 277*p/3 + 506/3 = 0. What is p?
-11, -2, 23
Factor -f**3/8 - 859*f**2/8 - 22788*f + 116640.
-(f - 5)*(f + 432)**2/8
Determine d, given that d**3/5 + 2*d**2 + 24*d/5 = 0.
-6, -4, 0
Let -4*w**4 + 1572*w**3 + 1580*w**2 - 1572*w - 1576 = 0. What is w?
-1, 1, 394
Solve 6*f**4 + 128*f**3 + 38*f**2 - 84*f = 0 for f.
-21, -1, 0, 2/3
What is x in 243*x**4/2 + 297*x**3/2 - 120*x**2 - 150*x = 0?
-10/9, 0, 1
Solve 2*r**4/3 + 20*r**3 + 218*r**2/3 + 88*r + 104/3 = 0 for r.
-26, -2, -1
Let 2*z**4/3 + 3*z**3 + 14*z**2/3 + 3*z + 2/3 = 0. Calculate z.
-2, -1, -1/2
Factor 2*r**4/5 + 16*r**3/5 - 148*r**2/5 - 144*r + 810.
2*(r - 5)**2*(r + 9)**2/5
Factor -28*x**4 + 132*x**3 + 40*x**2.
-4*x**2*(x - 5)*(7*x + 2)
Factor l**4/2 + 2*l**3 - 27*l**2/2 + 19*l - 8.
(l - 2)*(l - 1)**2*(l + 8)/2
Let 3*a**5/2 + 9*a**4/2 - 15*a**3 = 0. What is a?
-5, 0, 2
Find l such that 4*l**2 + 132*l + 128 = 0.
-32, -1
Determine h, given that -5*h**3 - 1005*h**2 - 67335*h - 1503815 = 0.
-67
Factor 15*v**2/7 + 36*v/7 + 12/7.
3*(v + 2)*(5*v + 2)/7
Factor a**4/4 + 2*a**3 + 3*a**2/2 - 2*a - 7/4.
(a - 1)*(a + 1)**2*(a + 7)/4
Factor 24*o**2 + 42*o + 147/8.
3*(8*o + 7)**2/8
Suppose -4*h**4 + 88*h**3 + 96*h**2 - 88*h - 92 = 0. What is h?
-1, 1, 23
Let 4*g**5 - 20*g**4 - 32*g**3 + 176*g**2 + 128*g - 256 = 0. Calculate g.
-2, 1, 4
Factor -2*t**2 + 4442*t - 4440.
-2*(t - 2220)*(t - 1)
Factor 2*v**3 - 6*v**2 + 4*v.
2*v*(v - 2)*(v - 1)
Determine j, given that 2*j**3/3 + 14*j**2/3 + 10*j + 6 = 0.
-3, -1
Let 9*h**4 + 1140*h**3 + 753*h**2 - 378*h = 0. Calculate h.
-126, -1, 0, 1/3
What is c in c**2 + 829*c + 828 = 0?
-828, -1
Factor 3*m**2 - 27*m + 24.
3*(m - 8)*(m - 1)
Find b, given that -4*b**3 + 68*b**2 + 72*b = 0.
-1, 0, 18
Let 2*b**4/5 + 14*b**3 + 68*b**2/5 = 0. What is b?
-34, -1, 0
Suppose -2*m**2/3 - 22*m/3 + 28 = 0. What is m?
-14, 3
Let t**4 - 38*t**3 + 468*t**2 - 2376*t + 4320 = 0. What is t?
6, 20
Solve -40*z**2/7 - 118*z/7 + 6/7 = 0.
-3, 1/20
Determine z, given that 21*z**5 + 99*z**4 + 138*z**3 + 36*z**2 - 24*z = 0.
-2, -1, 0, 2/7
Find r such that 45*r**3 + 390*r**2 + 245*r + 40 = 0.
-8, -1/3
Factor 2*u**4 - 62*u**3 - 64*u**2.
2*u**2*(u - 32)*(u + 1)
Determine z so that -z**2/8 + 607*z/8 - 303/4 = 0.
1, 606
What is c in -c**5 + 7*c**4 + 5*c**3 - 75*c**2 = 0?
-3, 0, 5
Determine l so that l**3/3 + 403*l**2/3 + 40400*l/3 - 40804/3 = 0.
-202, 1
Find d such that 2*d**5/7 - 6*d**4/7 + 2*d**3/7 + 6*d**2/7 - 4*d/7 = 0.
-1, 0, 1, 2
Factor 20*m**3 + 185*m**2 - 150*m.
5*m*(m + 10)*(4*m - 3)
Factor j**3/3 - 2*j**2/3 - 4*j/3 + 8/3.
(j - 2)**2*(j + 2)/3
Let -7*u**3/4 - 103*u**2/4 - 80*u + 25 = 0. Calculate u.
-10, -5, 2/7
What is w in -3*w**5 + 486*w**4 - 16020*w**3 - 293784*w**2 - 1355904*w - 1672704 = 0?
-6, -2, 88
Find a such that -45*a**5 + 1380*a**4 + 6535*a**3 + 9970*a**2 + 6260*a + 1400 = 0.
-2, -1, -2/3, 35
Factor -18*h**5/5 - 2*h**4 + 8*h**3/5.
-2*h**3*(h + 1)*(9*h - 4)/5
Factor 5*v**3/2 - 107*v**2/2 - 94*v + 46.
(v - 23)*(v + 2)*(5*v - 2)/2
Suppose -j**4 - 28*j**3 + 237*j**2 - 296*j - 560 = 0. What is j?
-35, -1, 4
Factor 3*i**3/2 + 6*i**2 + 15*i/2 + 3.
3*(i + 1)**2*(i + 2)/2
Factor 5*u**4 + 3*u**3 - 7*u**2 - 3*u + 2.
(u - 1)*(u + 1)**2*(5*u - 2)
Factor -4*a**2/13 + 142*a/13 + 72/13.
-2*(a - 36)*(2*a + 1)/13
Solve -3*v**2/5 - 417*v/5 - 1224/5 = 0 for v.
-136, -3
Factor -3*b**4 + 42*b**3 - 36*b**2 - 42*b + 39.
-3*(b - 13)*(b - 1)**2*(b + 1)
Factor 3*b**2 - 21*b - 54.
3*(b - 9)*(b + 2)
Find h such that 2*h**2/9 - 1090*h/9 + 1088/9 = 0.
1, 544
Let -954*h**4 - 1176*h**3 - 466*h**2 - 60*h = 0. What is h?
-30/53, -1/3, 0
Suppose -4*a**4 - 68*a**3 + 352*a**2 + 2240*a = 0. What is a?
-20, -4, 0, 7
Determine w so that -5*w**3 + 315*w**2 - 5115*w + 4805 = 0.
1, 31
Factor -p**3/4 + 101*p**2/4 - 383*p/4 - 485/4.
-(p - 97)*(p - 5)*(p + 1)/4
Determine l, given that 4*l**5 - 28*l**3 + 24*l**2 = 0.
-3, 0, 1, 2
Determine c, given that -5*c**4 + 10*c**3 + 15*c**2 - 40*c + 20 = 0.
-2, 1, 2
Determine n, given that 3*n**2/4 + 5481*n + 10013787 = 0.
-3654
Find g such that -2*g**5/3 + 32*g**4/3 - 26*g**3/3 - 20*g**2 = 0.
-1, 0, 2, 15
Suppose v**3/6 - 337*v**2 + 227138*v - 153091012/3 = 0. Calculate v.
674
Factor -q**2 + 21*q - 38.
-(q - 19)*(q - 2)
Suppose -18*t**3 + 3864*t**2 + 5176*t + 1728 = 0. What is t?
-2/3, 216
Factor -5*f**3 + 755*f**2 - 30295*f + 133225.
-5*(f - 73)**2*(f - 5)
What is j in 2*j**2/7 + 390*j/7 - 1188/7 = 0?
-198, 3
Solve r**5/2 - 5*r**4/2 + 9*r**3/2 - 7*r**2/2 + r = 0.
0, 1, 2
Determine t so that -2*t**3/5 - 16*t**2/5 - 2*t/5 + 84/5 = 0.
-7, -3, 2
Let n**2/7 + 3*n/7 + 2/7 = 0. Calculate n.
-2, -1
Factor -3*b**3/4 + 555*b**2/4 + 564*b + 567.
-3*(b - 189)*(b + 2)**2/4
Factor 10*g**4 - 36*g**3 - 66*g**2 - 20*g.
2*g*(g - 5)*(g + 1)*(5*g + 2)
Suppose 3*b**2 + 18*b + 24 = 0. Calculate b.
-4, -2
Let 2*c**4/7 + 82*c**3/7 + 708*c**2/7 - 2728*c/7 + 1936/7 = 0. Calculate c.
-22, 1, 2
Factor -4*j**2 - 20*j + 56.
-4*(j - 2)*(j + 7)
Let t**5/8 + 33*t**4/8 + 61*t**3/8 - 33*t**2/8 - 31*t/4 = 0. Calculate t.
-31, -2, -1, 0, 1
Factor -n**4/7 - 20*n**3/7 + 92*n**2/7 - 96*n/7.
-n*(n - 2)**2*(n + 24)/7
Factor -3*t**5 + 15*t**4 + 42*t**3 + 6*t**2 - 39*t - 21.
-3*(t - 7)*(t - 1)*(t + 1)**3
Determine d so that -d**3 + 44*d**2 - 437*d - 1058 = 0.
-2, 23
Solve 3*f**5 + 72*f**4 + 120*f**3 - 270*f**2 - 123*f + 198 = 0 for f.
-22, -3, -1, 1
Factor -u**3/9 + 733*u**2/3 - 134200*u - 1210000/9.
-(u - 1100)**2*(u + 1)/9
Factor 2*z**4/7 + 6*z**3/7 - 2*z**2/7 - 6*z/7.
2*z*(z - 1)