actor -4*s**2 - 764*s.
-4*s*(s + 191)
Let 2*p**2 - 254*p + 252 = 0. Calculate p.
1, 126
Factor -x**3 - 6*x**2 - 9*x - 4.
-(x + 1)**2*(x + 4)
Determine k so that -2*k**2 - 11*k + 6 = 0.
-6, 1/2
Suppose 3*y**3 - 147*y**2/4 - 75*y + 21 = 0. Calculate y.
-2, 1/4, 14
Factor -2*v**2/9 + 3202*v/9 - 3200/9.
-2*(v - 1600)*(v - 1)/9
Factor -2*d**2/11 + 204*d/11 - 5202/11.
-2*(d - 51)**2/11
Factor -2*b**2/9 + 934*b/9 + 104.
-2*(b - 468)*(b + 1)/9
Determine j, given that 2*j**2/7 - 1132*j/7 = 0.
0, 566
Solve 5*q**5 - 330*q**4 - 1370*q**3 - 2080*q**2 - 1395*q - 350 = 0 for q.
-1, 70
Factor j**4/7 - 38*j**3/7 + 528*j**2/7 - 3146*j/7 + 6655/7.
(j - 11)**3*(j - 5)/7
Determine z, given that 2*z**4/5 + 44*z**3/5 - 18*z**2/5 - 396*z/5 = 0.
-22, -3, 0, 3
Factor -18*c**2 + 87*c/5 + 3/5.
-3*(c - 1)*(30*c + 1)/5
Let -3136*i**5 - 8288*i**4 - 8164*i**3 - 3748*i**2 - 800*i - 64 = 0. What is i?
-1, -4/7, -1/4
Suppose -o**4/8 + 15*o**3/8 - 47*o**2/8 - 63*o/8 = 0. Calculate o.
-1, 0, 7, 9
Let -2*h**3/5 + 42*h**2/5 - 108*h/5 = 0. Calculate h.
0, 3, 18
Let -48*w**5 - 600*w**4 + 309*w**3 - 39*w**2 = 0. What is w?
-13, 0, 1/4
Factor -2*f**3/5 - 142*f**2/5 + 906*f/5 - 1386/5.
-2*(f - 3)**2*(f + 77)/5
Factor -490*t**2 + 35*t + 5.
-5*(7*t - 1)*(14*t + 1)
Factor -2*d**2/3 - 44*d/3 - 14.
-2*(d + 1)*(d + 21)/3
Let 2*m**2/3 - 1292*m + 625974 = 0. What is m?
969
Factor -t**4/9 - 11*t**3/3 - 55*t**2/3 + 433*t/9 - 26.
-(t - 1)**2*(t + 9)*(t + 26)/9
Find a, given that 4*a**3 + 2452*a**2 + 374540*a - 376996 = 0.
-307, 1
Let 18*x**4/5 + 148*x**3/5 + 158*x**2/5 + 28*x/5 = 0. What is x?
-7, -1, -2/9, 0
Factor -3*w**4 - 390*w**3 - 17919*w**2 - 340860*w - 2291628.
-3*(w + 19)**2*(w + 46)**2
Suppose -k**3/7 - 46*k**2/7 - 529*k/7 = 0. What is k?
-23, 0
Factor 2*a**4 + 58*a**3 + 480*a**2 + 288*a - 6912.
2*(a - 3)*(a + 8)*(a + 12)**2
Factor -3*q**2 - 12*q + 63.
-3*(q - 3)*(q + 7)
Solve -d**5/5 + 13*d**4 - 230*d**3 - 250*d**2 + 21875*d + 78125 = 0 for d.
-5, 25
Determine a so that -12*a**3/5 - 27*a**2 + 111*a/5 + 36/5 = 0.
-12, -1/4, 1
Determine k, given that 3*k**5 + 33*k**4 + 33*k**3 - 213*k**2 - 180*k + 324 = 0.
-9, -3, -2, 1, 2
Factor -2*h**5 + 4*h**3 - 2*h.
-2*h*(h - 1)**2*(h + 1)**2
Factor -4*l**3 + 688*l**2 - 27412*l - 190104.
-4*(l - 89)**2*(l + 6)
Solve j**3 + 68*j**2 + 795*j = 0.
-53, -15, 0
Factor 2*o**4 + 5*o**3/3.
o**3*(6*o + 5)/3
Factor -x**3/3 + x**2.
-x**2*(x - 3)/3
Solve -u**3 - 812*u**2 = 0 for u.
-812, 0
Find w, given that -2*w**2 - 1756*w = 0.
-878, 0
Factor -2*w**3 - 160*w**2 - 2176*w - 8192.
-2*(w + 8)**2*(w + 64)
Factor 3*i**2 + 126*i - 264.
3*(i - 2)*(i + 44)
Factor -u**2 + 5*u + 6.
-(u - 6)*(u + 1)
Factor u**4/6 + 4*u**3/3 - 3*u**2/2 - 100*u/3 - 200/3.
(u - 5)*(u + 4)**2*(u + 5)/6
Factor -93*t**4 + 657*t**3 - 42*t**2.
-3*t**2*(t - 7)*(31*t - 2)
Solve 4*s**2 + 32*s - 132 = 0 for s.
-11, 3
Find l, given that 2*l**2/5 - 114*l = 0.
0, 285
Factor 3*h**4/4 - 9*h**3 - 93*h**2/4 + 63*h/2.
3*h*(h - 14)*(h - 1)*(h + 3)/4
Solve 4*j**5 + 156*j**4 + 1384*j**3 + 2040*j**2 - 8876*j + 5292 = 0.
-27, -7, 1
Suppose w**2 + 119*w - 120 = 0. Calculate w.
-120, 1
Find p, given that 9*p**2/2 - 42*p + 98 = 0.
14/3
Factor 2*b**3/13 + 44*b**2/13 - 46*b/13.
2*b*(b - 1)*(b + 23)/13
Factor -2*n**2 + 1588*n - 315218.
-2*(n - 397)**2
Factor -2*p**4/7 + 16*p**2/7 - 32/7.
-2*(p - 2)**2*(p + 2)**2/7
Determine m, given that -3*m**5/4 - 6*m**4 - 3*m**3 + 33*m**2/2 + 15*m/4 - 21/2 = 0.
-7, -2, -1, 1
Solve -q**4/4 - 7*q**3/4 - 3*q**2/2 = 0 for q.
-6, -1, 0
Solve -11*q**5/9 + 10*q**4 - 115*q**3/9 - 20*q**2 + 4*q = 0 for q.
-1, 0, 2/11, 3, 6
Let -m**2 - 7*m - 6 = 0. Calculate m.
-6, -1
Factor d**2/2 - 7*d + 20.
(d - 10)*(d - 4)/2
Factor -2*i**2/3 + 74*i/3 - 24.
-2*(i - 36)*(i - 1)/3
Find o, given that 18*o**3 + 12*o**2 - 22*o - 8 = 0.
-4/3, -1/3, 1
Factor -m**4 - 34*m**3.
-m**3*(m + 34)
Let 26*f**3 - 48*f**2 - 90*f = 0. Calculate f.
-15/13, 0, 3
Factor 256*u**4 + 3776*u**3 + 20400*u**2 + 47396*u + 39304.
4*(u + 2)*(4*u + 17)**3
Factor -2*b**3/9 - 20*b**2/9 - 6*b - 4.
-2*(b + 1)*(b + 3)*(b + 6)/9
Factor -5*j**2 - 400*j - 8000.
-5*(j + 40)**2
Factor 2*v**2 - 144*v.
2*v*(v - 72)
Find l such that l**5 + 81*l**4 + 1086*l**3 + 2846*l**2 - 9279*l + 5265 = 0.
-65, -9, 1
Suppose 5*d**2 + 150*d + 145 = 0. Calculate d.
-29, -1
Factor 3*v**3 + 27*v**2 - 48*v - 432.
3*(v - 4)*(v + 4)*(v + 9)
Suppose 5*s**4 - 35*s**3 + 75*s**2 - 45*s = 0. What is s?
0, 1, 3
Suppose -10*n**4/7 + 34*n**3/7 - 12*n**2/7 = 0. Calculate n.
0, 2/5, 3
Find q, given that -4*q**4 + 376*q**3 - 8048*q**2 - 37240*q - 28812 = 0.
-3, -1, 49
Solve 3*c**2/2 - 315*c + 627/2 = 0.
1, 209
Factor -3*n**3 + 84*n**2 + 291*n - 372.
-3*(n - 31)*(n - 1)*(n + 4)
Let -22*x**4/9 + 238*x**3/9 + 22*x**2/3 - 238*x/9 - 44/9 = 0. What is x?
-1, -2/11, 1, 11
Factor -18*r**3/7 - 474*r**2/7 - 530*r - 1050.
-2*(r + 3)*(3*r + 35)**2/7
Solve -11*a**3 - 49*a**2 + 30*a = 0 for a.
-5, 0, 6/11
Let 5*h**2 - 1170*h + 1165 = 0. Calculate h.
1, 233
Find g, given that -2*g**4/5 + 162*g**3/5 - 316*g**2/5 = 0.
0, 2, 79
Factor b**3/2 + 23*b**2 - 330*b + 1044.
(b - 6)**2*(b + 58)/2
Factor 5*z**3 - 18510*z**2 + 22841340*z - 9395404520.
5*(z - 1234)**3
Factor 3*m**3 - 1683*m**2.
3*m**2*(m - 561)
Factor 4*j**4/9 + 40*j**3/9 - 208*j**2/9 + 224*j/9.
4*j*(j - 2)**2*(j + 14)/9
Factor 4*t**5 + 32*t**4 + 20*t**3 - 56*t**2.
4*t**2*(t - 1)*(t + 2)*(t + 7)
Determine u so that -8*u**3/3 + 70*u**2/3 + 37*u/3 = 0.
-1/2, 0, 37/4
Determine o, given that 3*o**2/5 + 1614*o/5 + 217083/5 = 0.
-269
Suppose -2*r**3 + 376*r**2 - 746*r + 372 = 0. Calculate r.
1, 186
Factor 30*l**2 - 927*l - 957.
3*(l + 1)*(10*l - 319)
Factor 12*m**2 - 25408*m + 8468.
4*(m - 2117)*(3*m - 1)
Let -3*b**4 - 22*b**3 - 49*b**2 - 38*b - 8 = 0. Calculate b.
-4, -2, -1, -1/3
Factor -2*l**4 - 48*l**3 - 288*l**2.
-2*l**2*(l + 12)**2
What is u in -2*u**2/5 + 3484*u/5 - 1517282/5 = 0?
871
Let -2*h**3 - 22*h**2 - 20*h = 0. Calculate h.
-10, -1, 0
Factor -u**3/6 - 12*u**2 - 288*u - 2304.
-(u + 24)**3/6
Find i, given that i**4 + 3*i**3 - 14*i**2 - 12*i + 40 = 0.
-5, -2, 2
Factor 5*v**2 + 3805*v + 7590.
5*(v + 2)*(v + 759)
Find x such that -2*x**5/11 + 8*x**4/11 - 12*x**3/11 + 8*x**2/11 - 2*x/11 = 0.
0, 1
Find j, given that -4*j**3/7 - 188*j**2/7 - 1016*j/7 - 1312/7 = 0.
-41, -4, -2
What is a in -9*a**5 + 132*a**4 + 3327*a**3 + 1002*a**2 - 2184*a = 0?
-13, -1, 0, 2/3, 28
Factor u**2 + 471*u + 2790.
(u + 6)*(u + 465)
Determine o so that 2*o**3/15 - 1378*o**2/15 + 239414*o/15 - 235298/5 = 0.
3, 343
Factor 2*c**2/9 + 136*c/9 - 142/3.
2*(c - 3)*(c + 71)/9
What is r in -3*r**3/7 - 183*r**2/7 - 456*r - 1680 = 0?
-28, -5
Determine o, given that 75*o**5/7 - 3840*o**4/7 - 3183*o**3/7 + 3216*o**2/7 + 444*o + 624/7 = 0.
-1, -2/5, 1, 52
Factor -2*m**2/9 + 202*m/9 - 200/9.
-2*(m - 100)*(m - 1)/9
Factor 198*s**2/7 + 736*s + 104/7.
2*(s + 26)*(99*s + 2)/7
Factor 4*a**4 - 36*a**3 + 72*a**2 + 16*a - 96.
4*(a - 6)*(a - 2)**2*(a + 1)
Factor 3*p**3 + 3*p**2 - 168*p + 432.
3*(p - 4)**2*(p + 9)
Let 2*s**3/5 + 3126*s**2/5 + 1223046*s/5 + 1219922/5 = 0. Calculate s.
-781, -1
Factor -3*w**3 - 435*w**2 - 1704*w - 1692.
-3*(w + 2)**2*(w + 141)
What is x in -3*x**4 - 3657*x**3 + 7323*x**2 - 3663*x = 0?
-1221, 0, 1
Factor n**2 + 64*n.
n*(n + 64)
Factor -5*y**3 + 25*y**2 - 10*y - 40.
-5*(y - 4)*(y - 2)*(y + 1)
Determine u, given that 35*u**2 + 725*u - 210 = 0.
-21, 2/7
Factor 9*z**2 + 128*z + 28.
(z + 14)*(9*z + 2)
Determine m so that 4*m**3 - 14*m**2 + 14*m - 4 = 0.
1/2, 1, 2
Suppose 48*a**4 - 772*a**3 - 1604*a**2 - 928*a - 144 = 0. What is a?
-1, -2/3, -1/4, 18
Factor -7*l**2/2 - 55*l/2 + 4.
-(l + 8)*(7*l - 1)/2
Let 2*v**4/3 + 16*v**3 + 68*v**2 + 272*v/3 + 38 = 0. What is v?
-19, -3, -1
Factor -310472*n**3/7 - 929840*n**2/7 + 4726*n/7 - 6/7.
-2*(n + 3)*(394*n - 1)**2/7
Factor -2*g**5 + 58*g**4 - 212*g**3 + 308*g**2 - 202*g + 50.
-2*(g - 25)*(g - 1)**4
Determine f so that f**5 - 2*f**4 - 22*f**3 - 16*f**2 + 21*f + 18 = 0.
-3, -1, 1, 6
Solve -3*t**3 - 5*t**2/2 + t/2 = 0.
-1, 0, 1/6
Factor -2*x**4/3 + 44*x**3 - 1062*x**2 + 11088*x - 42336.
-2*(x - 21)**2*(x - 12)**2/3
What is d in -169*d**5 - 1404*d**4 - 3800*d**3 - 3776*d**2 - 912*d - 64 = 0?
-4, -2, -2/13
Factor h**4 + 4*h**3 - 405*h**2 + 2900*h - 2500.
(h - 10)**2*(h - 1)*(h + 25)
What is h in -3*h**2/2 + 567*h/2 = 0?
0, 189
