/2 + 53*h**2/2 + 107*h + 60.
(h + 5)*(h + 12)*(3*h + 2)/2
Let -3*p**3/4 - 51*p**2/2 + 1245*p/4 - 825 = 0. Calculate p.
-44, 5
Factor -c**4/3 - c**3 + 4*c**2/3 + 4*c.
-c*(c - 2)*(c + 2)*(c + 3)/3
Factor -p**3 + 8*p**2 - 16*p.
-p*(p - 4)**2
Factor -13*x**3/5 - 92*x**2/5 + 227*x/5 + 18/5.
-(x - 2)*(x + 9)*(13*x + 1)/5
Factor -2*f**3/7 + 194*f**2/7 - 192*f/7.
-2*f*(f - 96)*(f - 1)/7
Determine p, given that 3*p**5 - 36*p**4 + 138*p**3 - 180*p**2 + 75*p = 0.
0, 1, 5
Factor -65*t**3 + 20*t**2.
-5*t**2*(13*t - 4)
Suppose -2*p**5 - 26*p**4 - 24*p**3 = 0. What is p?
-12, -1, 0
Factor -2511*h**2/8 - 2517*h/8 - 3/4.
-3*(h + 1)*(837*h + 2)/8
Determine y so that y**3 + 3*y**2 + 2*y = 0.
-2, -1, 0
Factor d**4 + 11*d**3 - 14*d**2 - 24*d.
d*(d - 2)*(d + 1)*(d + 12)
Factor 5*t**2 - 290*t + 1325.
5*(t - 53)*(t - 5)
Let 3*k**2 + 2748*k + 2745 = 0. Calculate k.
-915, -1
Factor a**4/2 + 3*a**3 + 9*a**2/2.
a**2*(a + 3)**2/2
Factor -2*q**2/5 - 478*q.
-2*q*(q + 1195)/5
Factor 15*j**3 - 21*j**2 - 24*j + 12.
3*(j - 2)*(j + 1)*(5*j - 2)
Let 3*x**3/2 - 45*x**2/2 - 363*x/2 - 315/2 = 0. What is x?
-5, -1, 21
Suppose 2*o**5 - 24*o**4 - 70*o**3 + 204*o**2 - 112*o = 0. Calculate o.
-4, 0, 1, 14
Find x, given that -10*x**3/11 + 36*x**2 + 1000*x/11 + 336/11 = 0.
-2, -2/5, 42
Find g such that 16*g**2 + 236*g + 168 = 0.
-14, -3/4
Determine t, given that -2*t**2 - 942*t - 940 = 0.
-470, -1
Factor 3*a**4/2 - 39*a**3/2 + 69*a**2/2 - 33*a/2.
3*a*(a - 11)*(a - 1)**2/2
Factor 3*y**5 + 21*y**4 + 21*y**3 - 45*y**2.
3*y**2*(y - 1)*(y + 3)*(y + 5)
Factor l**3/4 - 5*l**2/2 - 9*l/4 + 45/2.
(l - 10)*(l - 3)*(l + 3)/4
Factor -3*z**4 + 20*z**3 - 27*z**2 + 10*z.
-z*(z - 5)*(z - 1)*(3*z - 2)
Let 4*t**5 + 5*t**4 - 7*t**3 - 2*t**2 = 0. What is t?
-2, -1/4, 0, 1
Factor -5*j**2 - 850*j - 4125.
-5*(j + 5)*(j + 165)
Factor -x**5/5 - 159*x**4/5 + 483*x**3/5 - 97*x**2 + 162*x/5.
-x*(x - 1)**3*(x + 162)/5
Factor -i**5/12 + 37*i**4/3 + 299*i**3/12 + 25*i**2/2.
-i**2*(i - 150)*(i + 1)**2/12
Factor u**3 - 1227*u**2 + 501843*u - 68417929.
(u - 409)**3
Find x such that -5*x**4 - 39*x**3 - 17*x**2 + 255*x - 50 = 0.
-5, 1/5, 2
Suppose -252*g**4 - 40*g**3 + 208*g**2/3 - 32*g/3 = 0. What is g?
-2/3, 0, 2/9, 2/7
Factor -2*k**5/7 + 316*k**4/7 + 2624*k**3/7 + 5312*k**2/7.
-2*k**2*(k - 166)*(k + 4)**2/7
Determine l so that -l**3/2 + 97*l**2/6 - 400*l/3 + 128/3 = 0.
1/3, 16
Solve -2*f**5/5 - 112*f**4/5 - 288*f**3 + 3932*f**2/5 + 7714*f/5 - 10092/5 = 0 for f.
-29, -2, 1, 3
Determine l, given that 2*l**4 + 18*l**3 - 96*l**2 + 104*l = 0.
-13, 0, 2
Find f such that 2*f**5/3 - 542*f**4/9 - 2038*f**3/9 - 934*f**2/3 - 1688*f/9 - 376/9 = 0.
-1, -2/3, 94
Let -2*v**3/11 + 54*v**2/11 + 122*v/11 - 174/11 = 0. What is v?
-3, 1, 29
Factor 51842*u**2/9 - 1288*u/3 + 8.
2*(161*u - 6)**2/9
Factor -5*k**3/3 + 4*k**2 + 311*k/3 - 42.
-(k - 9)*(k + 7)*(5*k - 2)/3
Find q such that -42*q**3/13 + 20*q**2/13 + 86*q/13 - 64/13 = 0.
-32/21, 1
Factor -2*b**4/5 - 2*b**3/5 + 24*b**2/5.
-2*b**2*(b - 3)*(b + 4)/5
Factor 3*o**3 - 12*o**2 + 15*o - 6.
3*(o - 2)*(o - 1)**2
Factor -5*m**2 + 6910*m - 2387405.
-5*(m - 691)**2
Factor -2*y**3/11 - 342*y**2/11 - 676*y/11.
-2*y*(y + 2)*(y + 169)/11
Factor -7*s**3 - 303*s**2 - 86*s.
-s*(s + 43)*(7*s + 2)
Factor n**4/6 - 94*n**3/3 + 2945*n**2/2 + 94*n/3 - 4418/3.
(n - 94)**2*(n - 1)*(n + 1)/6
Solve -15*z**5 - 35*z**4 + 205*z**3 + 435*z**2 - 630*z - 1080 = 0.
-3, -4/3, 2, 3
Determine q so that -3*q**3 - 6*q**2 = 0.
-2, 0
Factor 75*i**3 + 75015*i**2 - 60048*i + 12012.
3*(i + 1001)*(5*i - 2)**2
Factor -s**5/11 - 206*s**4/11 + 624*s**3/11 - 626*s**2/11 + 19*s.
-s*(s - 1)**3*(s + 209)/11
Determine h so that -14*h**3 + 794*h**2 + 4568*h + 1240 = 0.
-5, -2/7, 62
Suppose 15*j**5/4 - 9*j**4/2 - 237*j**3/4 - 63*j**2 + 15*j = 0. What is j?
-2, 0, 1/5, 5
Determine i, given that -3*i**2/4 - 327*i/4 - 321/2 = 0.
-107, -2
Factor -18*b**5 - 1936*b**4 - 622088*b**3/9 - 808800*b**2 + 369792*b - 41472.
-2*(b + 36)**3*(9*b - 2)**2/9
Factor 5*o**4 - 5*o**3 - 45*o**2 - 55*o - 20.
5*(o - 4)*(o + 1)**3
Suppose 4*z**4 + 200*z**3 + 3028*z**2 + 13200*z + 17424 = 0. Calculate z.
-22, -3
Factor -s**3/2 - 11*s**2 - 64*s - 112.
-(s + 4)**2*(s + 14)/2
Let 9*v**5/5 + 2*v**4/5 - 9*v**3 - 2*v**2 + 36*v/5 + 8/5 = 0. Calculate v.
-2, -1, -2/9, 1, 2
Factor -2*y**3/3 + 16*y**2/3 + 8*y/3 - 64/3.
-2*(y - 8)*(y - 2)*(y + 2)/3
Solve -33*g**3/2 - 27*g**2/2 + 3*g = 0 for g.
-1, 0, 2/11
Factor 6*k**3 - 69*k**2 + 66*k + 456.
3*(k - 4)*(k + 2)*(2*k - 19)
Factor 72*u**2 - 68*u - 4.
4*(u - 1)*(18*u + 1)
Factor 5*t**2 + 530*t + 14045.
5*(t + 53)**2
Factor 3*u**3/2 - 42*u**2 + 231*u/2 - 75.
3*(u - 25)*(u - 2)*(u - 1)/2
Factor -v**4/6 - 2*v**3 + v**2/6 + 2*v.
-v*(v - 1)*(v + 1)*(v + 12)/6
Suppose -2*j**4 - 58*j**3 + 492*j**2 - 432*j = 0. Calculate j.
-36, 0, 1, 6
Suppose 3*y**3 - 9849*y**2 + 8078640*y + 8088492 = 0. Calculate y.
-1, 1642
Find r such that -2*r**3/15 - 8*r**2/5 - 22*r/15 = 0.
-11, -1, 0
Let 2*z**3 - 4*z**2 - 30*z = 0. What is z?
-3, 0, 5
Factor 2*j**3/17 - 4*j**2/17 - 8*j/17 + 16/17.
2*(j - 2)**2*(j + 2)/17
Suppose i**2/4 + 127*i/2 = 0. What is i?
-254, 0
Let 4*k**4 - 264*k**3 - 284*k**2 + 1056*k + 1072 = 0. What is k?
-2, -1, 2, 67
Factor j**3/2 - 3516*j**2 + 8241504*j - 6439361792.
(j - 2344)**3/2
Factor -3*m**2 - 561*m.
-3*m*(m + 187)
What is d in 2*d**4 - 111*d**3/5 + 411*d**2/5 - 104*d + 48/5 = 0?
1/10, 3, 4
Determine c so that -7*c**2 + 243*c + 70 = 0.
-2/7, 35
Factor -x**5/7 + 22*x**4/7 - 156*x**3/7 + 486*x**2/7 - 675*x/7 + 324/7.
-(x - 12)*(x - 3)**3*(x - 1)/7
Factor -2*l**4/9 - 8*l**3 - 90*l**2 - 324*l.
-2*l*(l + 9)**2*(l + 18)/9
Find k, given that -3*k**3/5 + 111*k**2/5 - 108*k/5 = 0.
0, 1, 36
Suppose -2*c**3/3 + 596*c**2/3 + 2*c/3 - 596/3 = 0. What is c?
-1, 1, 298
Factor -2*l**2 - 1603*l/2 + 401/2.
-(l + 401)*(4*l - 1)/2
Solve -4*l**4 - 12*l**3 = 0.
-3, 0
Factor -k**2/4 + 3*k/2 - 5/4.
-(k - 5)*(k - 1)/4
Factor -2*k**2 - 104*k - 1352.
-2*(k + 26)**2
Factor -2*a**5 - 32*a**4 - 204*a**3 - 648*a**2 - 1026*a - 648.
-2*(a + 3)**4*(a + 4)
Factor 55*n**4 + 65*n**3 + 10*n**2.
5*n**2*(n + 1)*(11*n + 2)
Factor b**2/3 - 13*b/3.
b*(b - 13)/3
Let t**4/10 - 3*t**3/10 - 9*t**2/5 = 0. What is t?
-3, 0, 6
Factor n**3/8 - 31*n**2 + 3965*n/2 - 7442.
(n - 122)**2*(n - 4)/8
Let o**2/2 + 571*o/2 = 0. Calculate o.
-571, 0
Factor -3*g**2/7 - 27*g/7 - 24/7.
-3*(g + 1)*(g + 8)/7
Factor -5*a**2 + 7400*a - 2738000.
-5*(a - 740)**2
Factor g**4/4 - 17*g**3/2 + 8*g**2 + 17*g/2 - 33/4.
(g - 33)*(g - 1)**2*(g + 1)/4
Factor -3*l**4 - 9*l**3 - 6*l**2.
-3*l**2*(l + 1)*(l + 2)
Suppose 2*v**4/5 + 2*v**3/3 - 22*v**2/15 + 2*v/5 = 0. What is v?
-3, 0, 1/3, 1
Let -6*x**4 + 19*x**3 + 51*x**2 - 171*x + 27 = 0. What is x?
-3, 1/6, 3
Factor o**3 - 33*o**2 + 200*o.
o*(o - 25)*(o - 8)
Suppose -3*b**3 + 348*b**2 + 1071*b = 0. What is b?
-3, 0, 119
Suppose -3844*k**2 + 3836*k + 8 = 0. What is k?
-2/961, 1
Determine w so that 2*w**2/7 - 2*w/7 = 0.
0, 1
Factor -12*s**5 - 16*s**4 + 4*s**3 + 8*s**2.
-4*s**2*(s + 1)**2*(3*s - 2)
Let i**4 - 77*i**3 + 1587*i**2 - 3811*i - 5476 = 0. Calculate i.
-1, 4, 37
Solve 3*l**4 - 1353*l**3 + 149130*l**2 + 771552*l + 935712 = 0.
-3, -2, 228
What is z in 9*z**5 - 30*z**4 - 105*z**3 + 90*z**2 + 276*z + 120 = 0?
-2, -1, -2/3, 2, 5
Factor i**2/5 - 28*i/5 + 192/5.
(i - 16)*(i - 12)/5
Factor 3*r**3/7 - 69*r**2/7 + 282*r/7 - 216/7.
3*(r - 18)*(r - 4)*(r - 1)/7
Determine d so that 3*d**4/7 - 18*d**2/7 - 24*d/7 - 9/7 = 0.
-1, 3
Determine s, given that -5*s**3 + 5*s**2 + 80*s - 80 = 0.
-4, 1, 4
What is r in -3*r**3 - 81*r**2 - 312*r + 396 = 0?
-22, -6, 1
Solve -72*s**3/5 + 5736*s**2/5 + 1918*s/5 + 32 = 0.
-1/6, 80
Solve q**5/4 + 75*q**4/4 + 1289*q**3/4 - 4407*q**2/4 + 1521*q/2 = 0.
-39, 0, 1, 2
Factor 3*r**4/4 + 3*r**3/4 - 15*r**2/4 + 9*r/4.
3*r*(r - 1)**2*(r + 3)/4
Factor 2*r**2/3 - 380*r/3.
2*r*(r - 190)/3
Factor 5*l**5 - 235*l**4 + 675*l**3 - 665*l**2 + 220*l.
5*l*(l - 44)*(l - 1)**3
Factor 3*x**3 - 90*x**2 + 459*x - 648.
3*(x - 24)*(x - 3)**2
Solve -h**3 - 21*h**2 - 50*h + 72 = 0 for h.
-18, -4, 1
Factor -a**2 + 4696*a/3 + 1044.
-(a - 1566)*(3*a + 2)/3
What is l in l**3/5 - l**2/5 = 0?
0, 1
What is s in -16*s**5/3 - 808*s**4/3 + 1933*s**3 - 7307*s**2/3 + 2617*s/3 - 95 = 0?
-57, 1/4, 1, 5
Factor v**2/5 - 53*v/5.
v*(v - 53)/5
Suppose -30*u**2 + 1654*u - 220 = 0.