3/8 + 291*v**2/8 + 45*v/2 = 0.
-1, 0, 3, 20
Solve -2*n**3/9 - 4*n**2/9 + 10*n/9 + 4/3 = 0.
-3, -1, 2
Let 14*l**2/3 - 44*l/3 + 2 = 0. What is l?
1/7, 3
Factor m**3/4 - 97*m**2/4 + 141*m/2.
m*(m - 94)*(m - 3)/4
Suppose -n**3/3 + 1247*n**2/3 = 0. Calculate n.
0, 1247
Determine h, given that h**5 - 75*h**4 - 1210*h**3 - 3170*h**2 - 3015*h - 979 = 0.
-11, -1, 89
Let -4*v**5 + 72*v**4 - 292*v**3 - 48*v**2 + 1088*v + 768 = 0. Calculate v.
-1, 4, 12
Find q such that 5*q**3/2 - 10315*q**2/2 + 5325115*q/2 - 5314805/2 = 0.
1, 1031
Factor 4*c**3 + 16*c**2 - 64*c - 256.
4*(c - 4)*(c + 4)**2
Let -576*x**3 - 1056*x**2 + 188*x - 8 = 0. Calculate x.
-2, 1/12
Factor a**2/3 + 6*a + 27.
(a + 9)**2/3
Factor -4*f**3 + 108*f**2 - 780*f + 676.
-4*(f - 13)**2*(f - 1)
Find h such that 2*h**3 + 34*h**2 - 624*h + 2088 = 0.
-29, 6
Solve -5*h**4 - 5*h**3 + 30*h**2 + 20*h - 40 = 0 for h.
-2, 1, 2
Factor 5*y**3 + 1035*y**2 + 71415*y + 1642545.
5*(y + 69)**3
Let -4*c**2 + 88*c - 84 = 0. What is c?
1, 21
Determine y so that -y**4/6 + 23*y**3/6 + 27*y**2 + 170*y/3 + 116/3 = 0.
-2, 29
Factor b**2/2 - 2*b + 3/2.
(b - 3)*(b - 1)/2
Suppose -3*c**5/5 - 36*c**4/5 - 12*c**3 + 6*c**2/5 + 63*c/5 + 6 = 0. What is c?
-10, -1, 1
Let -b**2/2 - 2969*b - 8814961/2 = 0. Calculate b.
-2969
Factor -2*r**2 + 72.
-2*(r - 6)*(r + 6)
Factor c**5/2 + 25*c**4 + 673*c**3/2 + 600*c**2 + 288*c.
c*(c + 1)**2*(c + 24)**2/2
Let -2*m**2/9 + 16*m/9 - 10/3 = 0. Calculate m.
3, 5
What is s in 6*s**5 + 261*s**4 + 3261*s**3 + 9246*s**2 + 8640*s + 2400 = 0?
-20, -2, -1, -1/2
Factor -3*r**3 + 30*r**2.
-3*r**2*(r - 10)
Determine f, given that -f**4 + 28*f**3 - 27*f**2 = 0.
0, 1, 27
Factor -2*y**4 - 494*y**3 - 20640*y**2 - 313856*y - 1630208.
-2*(y + 16)**3*(y + 199)
Factor l**4/6 - 2*l**3/3 - 5*l**2 + 50*l/3 + 125/6.
(l - 5)**2*(l + 1)*(l + 5)/6
Factor -3*j**4 - 36*j**3 + 297*j**2 - 486*j.
-3*j*(j - 3)**2*(j + 18)
Factor -w**5/5 + 12*w**4/5 - 4*w**3.
-w**3*(w - 10)*(w - 2)/5
Factor 2*p**2/9 + 4*p/3 - 14/9.
2*(p - 1)*(p + 7)/9
What is a in 2*a**5 + 182*a**4 + 4228*a**3 + 3868*a**2 - 4230*a - 4050 = 0?
-45, -1, 1
Factor -l**4/2 + 87*l**3 + 529*l**2/2 + 177*l.
-l*(l - 177)*(l + 1)*(l + 2)/2
Factor 5*s**3 + 85*s**2 + 400*s + 320.
5*(s + 1)*(s + 8)**2
Solve 3*c**3 + 39*c**2 - 663*c + 621 = 0 for c.
-23, 1, 9
What is b in 72*b**4 - 1348*b**3 - 1828*b**2 - 248*b + 160 = 0?
-1, -1/2, 2/9, 20
Factor 3*o**3/2 - 1362*o**2 + 309174*o.
3*o*(o - 454)**2/2
Find h such that 2*h**2 - 46*h - 156 = 0.
-3, 26
Solve -q**2 - 22*q + 23 = 0 for q.
-23, 1
Solve -5*y**2 - 2880*y - 414720 = 0.
-288
Determine t, given that t**3/8 - 5*t**2/2 + 87*t/8 + 27/2 = 0.
-1, 9, 12
Factor 2*u**2/3 + 14*u/3 - 12.
2*(u - 2)*(u + 9)/3
Find h, given that 52*h**2 - 340*h - 168 = 0.
-6/13, 7
Factor -4*g**2/5 + 36*g - 176/5.
-4*(g - 44)*(g - 1)/5
Solve -3*o**5 + 216*o**4 - 2226*o**3 + 3708*o**2 + 14973*o + 8820 = 0.
-1, 7, 60
Solve 4*w**3 - 68*w**2 - 164*w + 228 = 0.
-3, 1, 19
Solve 206*t**2 - 408*t - 8 = 0.
-2/103, 2
Factor 2*p**4 + 100*p**3 + 1058*p**2 + 1824*p + 864.
2*(p + 1)**2*(p + 12)*(p + 36)
Find k such that -5*k**2 - 1230*k - 75645 = 0.
-123
Suppose z**4/6 - 7*z**3/3 + 23*z**2/6 + 7*z/3 - 4 = 0. What is z?
-1, 1, 2, 12
Solve -2*c**2/3 + 284*c/3 + 286/3 = 0 for c.
-1, 143
Determine r so that -3*r**5/4 - 5*r**4/4 + 11*r**3/4 - 3*r**2/4 = 0.
-3, 0, 1/3, 1
Factor 162*u**4/5 - 11592*u**3/5 + 204776*u**2/5 + 92736*u/5 + 10368/5.
2*(u - 36)**2*(9*u + 2)**2/5
Suppose -16*m**3/7 - 220*m**2/7 + 296*m/7 - 60/7 = 0. What is m?
-15, 1/4, 1
Factor y**2/7 - 12*y/7 + 27/7.
(y - 9)*(y - 3)/7
Factor 5*k**3 + 1785*k**2 - 5390*k + 3600.
5*(k - 2)*(k - 1)*(k + 360)
Factor -21*h**4 + 174*h**3 - 195*h**2 + 42*h.
-3*h*(h - 7)*(h - 1)*(7*h - 2)
Factor 2*f**2 + 46*f + 240.
2*(f + 8)*(f + 15)
Determine n so that 7*n**5/10 - n**4/5 - 14*n**3/5 + 4*n**2/5 = 0.
-2, 0, 2/7, 2
Solve -f**2/2 + 58*f - 115/2 = 0.
1, 115
Determine h so that h**4/2 + 3*h**3/2 - 3*h**2/2 - 7*h/2 + 3 = 0.
-3, -2, 1
Let 4*b**3 + 60*b**2 + 48*b - 112 = 0. What is b?
-14, -2, 1
Factor -w**2/3 + 4682*w/3 + 1561.
-(w - 4683)*(w + 1)/3
Factor -m**2/2 - 1496*m - 1119008.
-(m + 1496)**2/2
Determine t so that -t**3/2 + 15*t**2/2 - 13*t = 0.
0, 2, 13
Factor 9*f**3 + 174*f**2 - 2211*f - 756.
3*(f - 9)*(f + 28)*(3*f + 1)
Factor -m**3 - 20*m**2 - 117*m - 162.
-(m + 2)*(m + 9)**2
Solve 3*v**3/4 - 249*v**2/4 - 255*v/2 = 0 for v.
-2, 0, 85
Suppose -5*v**4 + 325*v**3 + 335*v**2 - 325*v - 330 = 0. What is v?
-1, 1, 66
Determine c, given that c**5/11 - 53*c**4/11 + 790*c**3/11 - 3548*c**2/11 + 6328*c/11 - 3968/11 = 0.
2, 16, 31
Let 3*x**2/2 - 66*x - 3591/2 = 0. What is x?
-19, 63
Factor 3*j**5 + 10*j**4 - 8*j**3.
j**3*(j + 4)*(3*j - 2)
Factor -4*y**3 + 84*y**2 + 184*y.
-4*y*(y - 23)*(y + 2)
Suppose -15*c**5/2 - 513*c**4/2 - 1947*c**3/2 - 1719*c**2/2 - 135*c = 0. What is c?
-30, -3, -1, -1/5, 0
Find a, given that -159*a**3 - 312*a**2 - 147*a + 6 = 0.
-1, 2/53
Determine g, given that 5*g**5 + 25*g**4 + 15*g**3 - 25*g**2 - 20*g = 0.
-4, -1, 0, 1
Factor w**4/3 + 13*w**3/3 + 23*w**2/3 + 11*w/3.
w*(w + 1)**2*(w + 11)/3
Solve -385*w**4 - 303*w**3 + 90*w**2 + 8*w = 0 for w.
-1, -4/55, 0, 2/7
Factor 87*a**3/7 + 90*a**2/7 + 3*a/7.
3*a*(a + 1)*(29*a + 1)/7
What is a in 2*a**5/13 + 2*a**4/13 - 4*a**3/13 - 4*a**2/13 + 2*a/13 + 2/13 = 0?
-1, 1
What is v in -3*v**2/5 + 51*v = 0?
0, 85
Factor -2*m**3/7 + 88*m**2/7 - 246*m/7.
-2*m*(m - 41)*(m - 3)/7
Solve -5*n**2 + 10*n + 40 = 0 for n.
-2, 4
Solve 25*g**2/3 - 35*g - 100/3 = 0 for g.
-4/5, 5
Factor -3*i**4 - 3*i**3 + 45*i**2 - 69*i + 30.
-3*(i - 2)*(i - 1)**2*(i + 5)
Factor -4*d**2 - 51976*d - 168844036.
-4*(d + 6497)**2
Suppose -4*a**2 - 64*a + 528 = 0. What is a?
-22, 6
Find i such that 10*i**5/3 + 4*i**4/3 - 10*i**3/3 - 4*i**2/3 = 0.
-1, -2/5, 0, 1
Let 28*q**2/9 - 12*q + 8 = 0. Calculate q.
6/7, 3
Factor 5*q**4/2 + 35*q**3/2 + 45*q**2 + 50*q + 20.
5*(q + 1)*(q + 2)**3/2
Let b**4/5 + 8*b**3/5 - 2*b**2 - 8*b/5 + 9/5 = 0. What is b?
-9, -1, 1
Factor -u**4/4 - 8*u**3 - 45*u**2/2 - 22*u - 29/4.
-(u + 1)**3*(u + 29)/4
What is y in -y**4/4 - 7*y**3/4 + 13*y**2/4 + 43*y/4 + 6 = 0?
-8, -1, 3
What is v in -2*v**4 - 10*v**3 + 22*v**2 + 66*v + 36 = 0?
-6, -1, 3
Solve -2*x**3 + 618*x**2/5 - 1646*x/5 - 354/5 = 0 for x.
-1/5, 3, 59
Suppose 4*z**2 - 40*z + 84 = 0. What is z?
3, 7
Factor 4*p**2/9 - 8*p/3.
4*p*(p - 6)/9
What is u in -2*u**5/7 + 172*u**4/7 - 552*u**3 + 1008*u**2 = 0?
0, 2, 42
Suppose 2*i**5/7 - 2*i**4/7 - 130*i**3/7 + 450*i**2/7 = 0. Calculate i.
-9, 0, 5
Let 3*r**3 - 34*r**2 + 84*r + 72 = 0. Calculate r.
-2/3, 6
Determine p, given that -2*p**3 - 179*p**2 + 278*p + 455 = 0.
-91, -1, 5/2
Factor -3*l**4/2 + 159*l**3/2 - 3105*l**2/2 + 26325*l/2 - 40500.
-3*(l - 15)**3*(l - 8)/2
Find k such that 12*k**2 - 3920*k - 1308 = 0.
-1/3, 327
Factor 3*y**2 + 201*y + 198.
3*(y + 1)*(y + 66)
Factor 2*r**2 - 576*r + 41472.
2*(r - 144)**2
Let -16*o**4 - 58*o**3 + 8*o**2 + 102*o - 36 = 0. What is o?
-3, -2, 3/8, 1
Find a such that 2*a**3/3 - 28*a**2/3 + 56*a/3 + 80 = 0.
-2, 6, 10
Let -2*m**2/9 - 146*m/9 = 0. What is m?
-73, 0
Factor 3*r**2 + 153*r - 156.
3*(r - 1)*(r + 52)
Factor 5*h**3/3 + 95*h**2/3.
5*h**2*(h + 19)/3
Factor q**4 + 5*q**3 - 11*q**2 - 33*q - 18.
(q - 3)*(q + 1)**2*(q + 6)
Suppose 4*l**3 + 8*l**2 - 620*l - 624 = 0. What is l?
-13, -1, 12
Factor 2*p**3 - 24*p + 32.
2*(p - 2)**2*(p + 4)
Factor -2*a**2/11 - 982*a/11 - 3896/11.
-2*(a + 4)*(a + 487)/11
Factor d**3 - d**2.
d**2*(d - 1)
Factor -b**2/4 - 37*b - 1369.
-(b + 74)**2/4
Factor -5*s**2/6 + 20345*s/3 - 82783805/6.
-5*(s - 4069)**2/6
What is u in -2*u**4/13 - 8*u**3/13 + 58*u**2/13 - 48*u/13 = 0?
-8, 0, 1, 3
Factor -4*a**2 + 600*a - 22500.
-4*(a - 75)**2
Factor 795*z**3 + 1615*z**2 + 450*z.
5*z*(3*z + 1)*(53*z + 90)
Factor -l**5/5 - 33*l**4/5 - 51*l**3 + 289*l**2/5.
-l**2*(l - 1)*(l + 17)**2/5
Factor -x**2 + 179*x - 1530.
-(x - 170)*(x - 9)
Factor 2*o**3 + 1044*o**2 + 181656*o + 10536048.
2*(o + 174)**3
Find x such that 2817938*x**4/3 + 5631128*x**3/3 + 936148*x**2 - 4744*x/3 + 2/3 = 0.
-1, 1/1187
Factor 3*l**3 - 81*l**2 - 84*l.
3*l*(l - 28)*(l + 1)
Solve -2*b**4/9 - 14*b**3/9 + 34*b**2/9 - 2*b = 0 for b.
-9, 0, 1
Factor l**2/5 + 518*l/5 + 67081/5.
(l + 259)**2/5
Factor -4*i**2 - 104*i - 100.
-4*(i + 1)*(i + 25)
Factor y**3/2 + 35*y**2/2