 3)*(n + 4)*(3*n + 5)
What is m in -3*m**3/2 - 21*m**2/2 + 15*m + 24 = 0?
-8, -1, 2
Factor -3*a**3/2 - 36*a**2.
-3*a**2*(a + 24)/2
Determine f, given that -2*f**2 + 192*f = 0.
0, 96
Determine m, given that -m**5/2 - 7*m**4/2 + 3*m**3/2 + 43*m**2/2 - 31*m + 12 = 0.
-6, -4, 1
Factor l**5 - 2*l**4 - 96*l**3 - 266*l**2 - 257*l - 84.
(l - 12)*(l + 1)**3*(l + 7)
Factor -5*n**3 - 65*n**2 - 160*n - 100.
-5*(n + 1)*(n + 2)*(n + 10)
What is h in 15*h**3/7 + 108*h**2/7 + 3*h = 0?
-7, -1/5, 0
Solve g**2 - 186*g + 185 = 0.
1, 185
Factor 10*u**3 + u**2.
u**2*(10*u + 1)
Factor a**2/2 + 7*a/3 + 5/2.
(a + 3)*(3*a + 5)/6
Factor -k**3/4 - 17*k**2/4 - 7*k/2 + 8.
-(k - 1)*(k + 2)*(k + 16)/4
Suppose -2*t**4/5 + 14*t**3/5 - 34*t**2/5 + 34*t/5 - 12/5 = 0. What is t?
1, 2, 3
Suppose -699*q**3 - 8382*q**2 - 7617*q + 66 = 0. What is q?
-11, -1, 2/233
Determine g so that -2*g**3/23 - 16*g**2/23 - 34*g/23 - 20/23 = 0.
-5, -2, -1
Factor 2*f**3/3 + 8*f**2/3 + 10*f/3 + 4/3.
2*(f + 1)**2*(f + 2)/3
Factor b**3/6 - 17*b**2/2 - 46*b - 112/3.
(b - 56)*(b + 1)*(b + 4)/6
Factor 2*y**3 + 16*y**2 - 18*y.
2*y*(y - 1)*(y + 9)
Let -2*r**3/3 - 22*r**2/3 + 8*r = 0. What is r?
-12, 0, 1
Find g, given that g**5/5 - 13*g**4/5 + 11*g**3 - 71*g**2/5 - 8*g + 20 = 0.
-1, 2, 5
Factor 5*l**4/4 + 2*l**3 - l**2/2 - 2*l - 3/4.
(l - 1)*(l + 1)**2*(5*l + 3)/4
Factor -4*f**4 - 32*f**3 + 40*f**2 + 32*f - 36.
-4*(f - 1)**2*(f + 1)*(f + 9)
Factor 3*h**3 - 5247*h**2 + 3059001*h - 594465861.
3*(h - 583)**3
Solve 2*v**2/11 - 174*v/11 - 16 = 0.
-1, 88
Suppose 4*n**2 + 456*n - 1404 = 0. What is n?
-117, 3
Factor r**5 + 24*r**4 + 44*r**3 - 2*r**2 - 45*r - 22.
(r - 1)*(r + 1)**3*(r + 22)
Solve 5*x**2/6 - 5*x/3 = 0.
0, 2
Determine l, given that 6*l**4/7 - 402*l**3/7 + 990*l**2 - 6534*l/7 = 0.
0, 1, 33
Determine u so that 2*u**4/3 + 38*u**3/3 - 16*u**2 - 152*u/3 + 160/3 = 0.
-20, -2, 1, 2
Factor v**4/2 + 93*v**3/2 + 1539*v**2/2 - 1633*v/2.
v*(v - 1)*(v + 23)*(v + 71)/2
Factor 3*b**3 - 120*b**2 - 1425*b - 3750.
3*(b - 50)*(b + 5)**2
Find c such that -3*c**5/4 + 30*c**4 - 219*c**3/4 - 177*c**2/2 + 111*c + 114 = 0.
-1, 2, 38
Factor 5*t**3 - 460*t**2 - 3920*t - 8000.
5*(t - 100)*(t + 4)**2
Factor 4*f**3 - 96*f**2 + 692*f - 1560.
4*(f - 13)*(f - 6)*(f - 5)
Factor -2*z**4 + 12*z**3 - 26*z**2 + 24*z - 8.
-2*(z - 2)**2*(z - 1)**2
Find s, given that s**2/3 + 6*s + 17/3 = 0.
-17, -1
Let -8*t**3 + 76*t**2 - 148*t + 56 = 0. What is t?
1/2, 2, 7
Factor 3*o**3 - 93*o**2 + 324*o.
3*o*(o - 27)*(o - 4)
Factor 5*p**2 - 17880*p + 15984720.
5*(p - 1788)**2
Factor 3*q**4 + 21*q**3 + 15*q**2 - 21*q - 18.
3*(q - 1)*(q + 1)**2*(q + 6)
Solve 3*o**4/5 + 1404*o**3/5 + 162858*o**2/5 - 65988*o + 33135 = 0.
-235, 1
What is o in -4*o**4 + 16*o**3 + 60*o**2 - 72*o = 0?
-3, 0, 1, 6
Factor -318*p**3 - 638*p**2 - 322*p - 2.
-2*(p + 1)**2*(159*p + 1)
Solve 4*u**5 - 8*u**4 - 8*u**3 + 16*u**2 + 4*u - 8 = 0 for u.
-1, 1, 2
Find y, given that 3*y**4 + 132*y**3 + 1452*y**2 = 0.
-22, 0
Let 4*w**4/7 + 12*w**3/7 - 16*w**2 - 240*w/7 = 0. Calculate w.
-6, -2, 0, 5
Let 36*s**5/7 - 768*s**4/7 + 3253*s**3/7 + 1561*s**2 - 2576*s + 6348/7 = 0. What is s?
-3, 2/3, 23/2
Determine g, given that -g**2/10 + 121*g/10 = 0.
0, 121
Let -4732*n**5/11 + 48698*n**4/11 + 8356*n**3 + 59976*n**2/11 + 16848*n/11 + 1728/11 = 0. Calculate n.
-1/2, -6/13, -2/7, 12
What is o in -3*o**3 - 15*o**2 - 6*o + 24 = 0?
-4, -2, 1
Factor -3*x**2 - 15*x.
-3*x*(x + 5)
Solve a**4/3 - 11*a**3/3 - 56*a**2/3 - 20*a = 0 for a.
-2, 0, 15
Let -i**3/8 - 7*i**2/8 - 11*i/8 - 5/8 = 0. Calculate i.
-5, -1
Determine b so that -4*b**4 + 32*b**3 - 88*b**2 + 96*b - 36 = 0.
1, 3
Suppose -4*d**2/9 + 5096*d/9 - 1623076/9 = 0. What is d?
637
Factor -2*h**5/3 - 14*h**4/3 - 20*h**3/3 + 12*h**2 + 18*h - 18.
-2*(h - 1)**2*(h + 3)**3/3
Factor 4*h**2 + 56*h + 96.
4*(h + 2)*(h + 12)
Factor 15*t**3 + 57*t**2 + 33*t - 9.
3*(t + 1)*(t + 3)*(5*t - 1)
Solve 4*o**3 - 12*o**2 - 400*o + 1200 = 0.
-10, 3, 10
Factor 4*k**4 + 48*k**3 + 72*k**2 - 560*k - 588.
4*(k - 3)*(k + 1)*(k + 7)**2
Factor 4*g**3 - 28*g**2 + 56*g - 32.
4*(g - 4)*(g - 2)*(g - 1)
Determine c, given that -8*c**5/7 + 64*c**4/7 - 74*c**3/7 - 18*c**2 - 36*c/7 = 0.
-1/2, 0, 3, 6
Solve 3*o**3/4 - 15*o**2/4 + 6*o - 3 = 0.
1, 2
Factor 382*i**2/3 + 1918*i/3 + 40/3.
2*(i + 5)*(191*i + 4)/3
Factor 3*a**3/7 - 9*a**2/7 + 6*a/7.
3*a*(a - 2)*(a - 1)/7
Suppose 3*s**5 - 33*s**4 + 126*s**3 - 192*s**2 + 96*s = 0. Calculate s.
0, 1, 2, 4
Factor -2*q**3/15 - 58*q**2/15 - 92*q/15 + 144/5.
-2*(q - 2)*(q + 4)*(q + 27)/15
Let 3*q**2 + 39*q - 3444 = 0. Calculate q.
-41, 28
Solve 4*a**3 - 12*a**2 - 432*a = 0 for a.
-9, 0, 12
Solve v**5/2 - 6*v**4 + 27*v**3/2 + 34*v**2 - 42*v = 0.
-2, 0, 1, 6, 7
Factor -m**3/8 + 721*m**2/8 - 131035*m/8 + 386643/8.
-(m - 359)**2*(m - 3)/8
Factor -3*q**2 - 9*q + 30.
-3*(q - 2)*(q + 5)
What is d in -8*d**3 + 5044*d**2 - 2516*d - 2520 = 0?
-1/2, 1, 630
Factor 5*z**4 + 2*z**3 - 20*z**2 - 8*z.
z*(z - 2)*(z + 2)*(5*z + 2)
Factor 3*u**3/8 + 1227*u**2/8 + 15759*u + 15606.
3*(u + 1)*(u + 204)**2/8
Factor -2*k**4/5 + 4*k**3 - 18*k**2/5.
-2*k**2*(k - 9)*(k - 1)/5
Suppose 52*g**2/9 + 424*g/9 + 64/9 = 0. Calculate g.
-8, -2/13
Factor -2*v**3 + 12*v**2 + 38*v - 168.
-2*(v - 7)*(v - 3)*(v + 4)
Factor i**2 + 32*i - 185.
(i - 5)*(i + 37)
Factor -h**2/2 - 89*h/2 - 87.
-(h + 2)*(h + 87)/2
Factor j**4/4 + 219*j**3/2.
j**3*(j + 438)/4
Suppose 24*f**5/5 + 282*f**4/5 + 432*f**3/5 + 114*f**2/5 - 12*f = 0. Calculate f.
-10, -1, 0, 1/4
Factor -2*u**2/7 - 240*u/7 - 7200/7.
-2*(u + 60)**2/7
What is l in 3*l**2 + 1011*l + 3006 = 0?
-334, -3
Suppose -j**4/4 + 6*j**3 + j**2/4 - 6*j = 0. What is j?
-1, 0, 1, 24
Factor 3*v**3/2 - 81*v**2 - 168*v.
3*v*(v - 56)*(v + 2)/2
Suppose s**5 + 4*s**4 - 15*s**3 - 18*s**2 = 0. Calculate s.
-6, -1, 0, 3
Factor -b**2/3 - 646*b/3 - 104329/3.
-(b + 323)**2/3
Factor -p**3 + 20*p**2 - 47*p - 68.
-(p - 17)*(p - 4)*(p + 1)
Factor -464*l**2/5 - 148*l/5 - 8/5.
-4*(4*l + 1)*(29*l + 2)/5
Suppose 3*z**4/4 + 45*z**3 + 483*z**2 = 0. Calculate z.
-46, -14, 0
Factor 2*j**3/13 - 18*j**2/13 + 40*j/13 - 24/13.
2*(j - 6)*(j - 2)*(j - 1)/13
Let -16*y**4 + 17644*y**3 - 4870836*y**2 + 3638804*y + 1214404 = 0. Calculate y.
-1/4, 1, 551
Solve 4*p**5/3 + 76*p**4 + 3356*p**3/3 + 2908*p**2/3 - 1120*p - 3136/3 = 0 for p.
-28, -1, 1
Let -32*f**3/11 - 688*f**2/11 + 350*f/11 - 4 = 0. Calculate f.
-22, 1/4
Find q such that -q**5 + 340*q**4 - 29571*q**3 + 113904*q**2 - 84672*q = 0.
0, 1, 3, 168
Factor z**5/4 + 5*z**4/2 + 9*z**3/4 - 13*z**2 + 8*z.
z*(z - 1)**2*(z + 4)*(z + 8)/4
Determine i so that 2*i**2/3 + 176*i/3 - 178/3 = 0.
-89, 1
Factor -3*r**3/5 + 18*r**2 - 576*r/5 - 1536/5.
-3*(r - 16)**2*(r + 2)/5
Factor -5*q**2 + 12150*q - 7381125.
-5*(q - 1215)**2
What is d in -d**2/6 + 514*d/3 - 132098/3 = 0?
514
Factor 2*d**2/7 - 4*d/7 + 2/7.
2*(d - 1)**2/7
Factor -2*g**3/11 + 4*g**2/11 + 6*g - 180/11.
-2*(g - 5)*(g - 3)*(g + 6)/11
Suppose -d**2/2 - 253*d - 64009/2 = 0. Calculate d.
-253
Solve -3*w**5 - 5*w**4 + 2*w**3 = 0.
-2, 0, 1/3
Solve -i**4/11 + 20*i**3/11 - 93*i**2/11 + 126*i/11 = 0.
0, 3, 14
Factor 2*s**2/3 - 4*s/3 + 2/3.
2*(s - 1)**2/3
Solve 3*f**4 - 51*f**3/4 + 15*f**2 - 3*f = 0.
0, 1/4, 2
Find i such that i**2 - 17*i - 38 = 0.
-2, 19
Let -3*p**5/4 - 51*p**4/4 + 453*p**3/4 - 1173*p**2/4 + 603*p/2 - 108 = 0. Calculate p.
-24, 1, 2, 3
Factor -4*u**3/7 + 138*u**2/7 - 1224*u/7 + 578/7.
-2*(u - 17)**2*(2*u - 1)/7
Factor -3*p**4 + 21*p**3 + 63*p**2 - 81*p.
-3*p*(p - 9)*(p - 1)*(p + 3)
Factor 2*b**5 - 4408*b**4 + 2415554*b**3 + 14599276*b**2 + 29269240*b + 19536400.
2*(b - 1105)**2*(b + 2)**3
Determine h so that 2*h**4/3 - 6*h**3 + 58*h**2/3 - 26*h + 12 = 0.
1, 2, 3
Suppose -c**5 - 6*c**4 - c**3 + 48*c**2 + 92*c + 48 = 0. Calculate c.
-4, -2, -1, 3
Factor -2*c**3/17 - 186*c**2/17 - 4752*c/17 - 36936/17.
-2*(c + 18)**2*(c + 57)/17
Determine a so that -2*a**3/9 + 100*a**2/9 - 114*a - 648 = 0.
-4, 27
Find x, given that -3*x**2 + 8451*x - 8448 = 0.
1, 2816
Factor -3*c**2/2 + 46*c + 64.
-(c - 32)*(3*c + 4)/2
Factor t**3 + 44*t**2 - 9*t - 396.
(t - 3)*(t + 3)*(t + 44)
Factor 3*a**3 + 267*a**2 + 264*a.
3*a*(a + 1)*(a + 88)
Factor -3*p**2/2 + 249*p/2 - 123.
-3*(p - 82)*(p - 1)/2
Factor -2*b**2 + 14*b - 12.
-2*(b - 6)*(b - 1)
Factor 10*o**3 + 58*o**2 + 40*o.
2*o*(o + 5)*(5*o + 4)
Find q such th