- 75*x**3 + 370*x**2 - 660*x + 360 = 0 for x.
1, 2, 6
Factor 3*n**2 + 516*n - 4320.
3*(n - 8)*(n + 180)
Suppose v**4/4 - 47*v**3/12 + 27*v**2/2 - 22*v/3 = 0. Calculate v.
0, 2/3, 4, 11
Factor -m**5/4 - m**4/2 + m**2/2 + m/4.
-m*(m - 1)*(m + 1)**3/4
Factor -t**4/5 + 2*t**3/5 + t**2/5 - 2*t/5.
-t*(t - 2)*(t - 1)*(t + 1)/5
Factor v**5/2 - 2*v**4 - 27*v**3/2 + 27*v**2 + 108*v.
v*(v - 6)*(v - 4)*(v + 3)**2/2
Factor 2*q**3/11 + 98*q**2/11 - 100*q/11.
2*q*(q - 1)*(q + 50)/11
Factor 2*b**4/3 + 22*b**3/3 - 32*b**2/3 - 640*b/3.
2*b*(b - 5)*(b + 8)**2/3
Solve 5*l**4 + 375*l**3 + 1780*l**2 + 2100*l = 0 for l.
-70, -3, -2, 0
Factor r**2 - 8*r - 153.
(r - 17)*(r + 9)
Suppose -v**4 + 10*v**3 - 28*v**2 + 24*v = 0. Calculate v.
0, 2, 6
What is a in -2*a**4/7 - 16*a**3/7 + 22*a**2/7 + 36*a/7 = 0?
-9, -1, 0, 2
Factor -a**3 + 7*a**2 - 11*a + 5.
-(a - 5)*(a - 1)**2
Find c, given that -5*c**3 - 3005*c**2 + 3010*c = 0.
-602, 0, 1
Find q, given that q**4/5 + q**3 + 9*q**2/5 + 7*q/5 + 2/5 = 0.
-2, -1
Determine c, given that 9*c**4 - 288*c**3 + 281*c**2 - 62*c = 0.
0, 1/3, 2/3, 31
What is k in k**4/2 - 9*k**3/2 + 10*k**2 - 6*k = 0?
0, 1, 2, 6
Factor 25*x**2/2 + 565*x/2 - 115.
5*(x + 23)*(5*x - 2)/2
Factor -4*h**4/7 - 4192*h**3/7 - 1102488*h**2/7 - 2192416*h/7 - 1094116/7.
-4*(h + 1)**2*(h + 523)**2/7
Factor -2*f**3/9 + f**2 - 4*f/9.
-f*(f - 4)*(2*f - 1)/9
Determine r, given that 32*r**4 - 112*r**3 - 1374*r**2 + 2576*r + 16928 = 0.
-4, 23/4
Factor h**2 - 4*h - 221.
(h - 17)*(h + 13)
Factor o**4/6 - 2*o**3/3 - 40*o**2/3 - 32*o.
o*(o - 12)*(o + 4)**2/6
Determine j, given that -j**4/3 - 40*j**3/3 - 104*j**2 + 1760*j/3 - 1936/3 = 0.
-22, 2
Solve 14*y**4/5 - 67*y**3/5 + 67*y**2/5 + 28*y/5 - 12/5 = 0 for y.
-1/2, 2/7, 2, 3
Factor 15*f**3 - 20*f**2 - 5*f + 10.
5*(f - 1)**2*(3*f + 2)
Factor -d**3/3 - 19*d**2/3 + d/3 + 19/3.
-(d - 1)*(d + 1)*(d + 19)/3
Find l, given that -4*l**4/3 - 172*l**3/3 + 28*l**2/3 + 1228*l/3 + 344 = 0.
-43, -2, -1, 3
Factor 8*q**2 - 210*q.
2*q*(4*q - 105)
Factor -2*c**4/7 + 22*c**3/7.
-2*c**3*(c - 11)/7
Find f such that 42*f**5 + 129*f**4 - 201*f**3 - 141*f**2 + 159*f + 12 = 0.
-4, -1, -1/14, 1
Factor 8*r**4 - 36*r**3 + 56*r**2 - 36*r + 8.
4*(r - 2)*(r - 1)**2*(2*r - 1)
Factor 2*c**2/5 + 2*c/5 - 12/5.
2*(c - 2)*(c + 3)/5
Factor 5*c**3 - 275*c**2 + 260*c + 540.
5*(c - 54)*(c - 2)*(c + 1)
Factor 2*n**3/13 - 4*n**2 - 18*n - 180/13.
2*(n - 30)*(n + 1)*(n + 3)/13
Factor 32*d**2 + 28*d - 4.
4*(d + 1)*(8*d - 1)
Let -m**5 - 4*m**4 + 16*m**2 + 16*m = 0. What is m?
-2, 0, 2
Solve -w**2/5 + 12*w/5 - 36/5 = 0 for w.
6
Suppose -16*w**5/3 + 2072*w**4/3 - 10993*w**3/3 + 9986*w**2/3 + 7184*w/3 + 992/3 = 0. What is w?
-1/4, 2, 4, 124
Suppose 3*h**4 + 216*h**3 - 219*h**2 = 0. What is h?
-73, 0, 1
Factor 2*f**4 + 12*f**3 - 14*f**2.
2*f**2*(f - 1)*(f + 7)
Solve -432*f**5 - 140*f**4 + 1720*f**3 + 560*f**2 + 32*f = 0.
-2, -1/4, -2/27, 0, 2
Suppose -2*o**5/5 - 2*o**4 - 14*o**3/5 + 2*o**2/5 + 16*o/5 + 8/5 = 0. Calculate o.
-2, -1, 1
Let q**2/4 - 7*q/2 - 8 = 0. Calculate q.
-2, 16
Suppose -9*s**4 + 114*s**3 - 477*s**2 + 720*s - 300 = 0. Calculate s.
2/3, 2, 5
Let -3*r**5 - 117*r**4 - 327*r**3 - 99*r**2 + 330*r + 216 = 0. Calculate r.
-36, -2, -1, 1
Suppose -12*r**4 - 55*r**3 - 21*r**2 + 30*r + 8 = 0. What is r?
-4, -1, -1/4, 2/3
Factor 4*n**3 - 292*n**2 + 840*n.
4*n*(n - 70)*(n - 3)
Solve c**4 + 17*c**3 + 10*c**2 - 96*c = 0.
-16, -3, 0, 2
Factor 3*x**5/2 + 3*x**4/2 - 3*x**3/2 - 3*x**2/2.
3*x**2*(x - 1)*(x + 1)**2/2
Factor -24*s**3/5 - 59*s**2/5 - 23*s/5 - 2/5.
-(s + 2)*(3*s + 1)*(8*s + 1)/5
Factor -4*r**2/7 + 2844*r/7 + 1224.
-4*(r - 714)*(r + 3)/7
Factor -2*w**3 + 10*w**2.
-2*w**2*(w - 5)
Factor 3*c**4/5 + 54*c**3/5 - 201*c**2/5 - 252*c/5.
3*c*(c - 4)*(c + 1)*(c + 21)/5
What is i in 3*i**5/5 - 3*i**4 - 42*i**3/5 + 108*i**2/5 + 216*i/5 = 0?
-2, 0, 3, 6
Factor -4*t**3/5 - 116*t**2/5 + 4512*t/5 - 30528/5.
-4*(t - 12)**2*(t + 53)/5
Determine f so that -2*f**5/7 + 6*f**4/7 + 4*f**3/7 - 24*f**2/7 + 16*f/7 = 0.
-2, 0, 1, 2
Find g such that g**2 - 9*g + 18 = 0.
3, 6
Factor -4*i**3 + 84*i**2 + 1764*i + 6860.
-4*(i - 35)*(i + 7)**2
Determine n, given that -6*n**4/7 - 16*n**3/7 - 8*n**2/7 = 0.
-2, -2/3, 0
Factor 3*l**5 - 7*l**4 + 5*l**3 - l**2.
l**2*(l - 1)**2*(3*l - 1)
Factor -55*o**3 + 395*o**2 - 620*o + 100.
-5*(o - 5)*(o - 2)*(11*o - 2)
Factor 3*y**2/8 - 429*y/4 + 61347/8.
3*(y - 143)**2/8
Factor -n**2/2 - 221*n/2 + 111.
-(n - 1)*(n + 222)/2
Factor -i**3/5 - 9*i**2 + 4*i/5 + 36.
-(i - 2)*(i + 2)*(i + 45)/5
What is f in -f**2/2 - 5*f/2 = 0?
-5, 0
Let g**2/3 - 64*g/3 + 1024/3 = 0. Calculate g.
32
Factor 4*c**2 + 8724*c.
4*c*(c + 2181)
Factor -i**2/6 - 5*i/3 - 8/3.
-(i + 2)*(i + 8)/6
Factor 4*z**4 + 16*z**3 - 84*z**2 + 16*z + 112.
4*(z - 2)**2*(z + 1)*(z + 7)
Solve 82*u**3 - 94*u**2 + 12*u = 0 for u.
0, 6/41, 1
Factor p**5 - 12*p**4 + 256*p**2.
p**2*(p - 8)**2*(p + 4)
Factor -4*v**3 - 92*v**2 - 480*v + 576.
-4*(v - 1)*(v + 12)**2
What is r in -3*r**5/4 - 51*r**4/4 - 93*r**3/2 - 12*r**2 + 72*r = 0?
-12, -4, -2, 0, 1
Determine c so that -3*c**2 - 33*c + 78 = 0.
-13, 2
Factor 4*p**5/3 - 4*p**4/3 - 4*p**3/3 + 4*p**2/3.
4*p**2*(p - 1)**2*(p + 1)/3
Find q such that 4*q**2 - 176*q = 0.
0, 44
Let 2*k**2 + 34*k - 36 = 0. What is k?
-18, 1
Determine f, given that 4*f**3/3 + 72*f**2 + 416*f/3 = 0.
-52, -2, 0
Factor -4*g**2 - 48*g + 52.
-4*(g - 1)*(g + 13)
Factor -64827*i**2 - 97020*i - 36300.
-3*(147*i + 110)**2
Let -10*o**4/9 - 58*o**3/9 + 140*o**2/3 - 32*o/9 - 320/9 = 0. What is o?
-10, -4/5, 1, 4
Let -16*u**3 - 4968*u**2 + 2487*u - 311 = 0. Calculate u.
-311, 1/4
Find z such that -5*z**3 + 55*z**2 - 50*z = 0.
0, 1, 10
Factor -g**2/3 + 11*g + 70/3.
-(g - 35)*(g + 2)/3
Factor -g**2/3 + 73*g/3 + 130.
-(g - 78)*(g + 5)/3
Solve 3*x**4 - 168*x**3 - 348*x**2 = 0 for x.
-2, 0, 58
Factor -5*t**3 + 5*t**2 + 30*t.
-5*t*(t - 3)*(t + 2)
Suppose -2*w**3/3 + 22*w**2/3 + 8*w = 0. What is w?
-1, 0, 12
Factor -5*q**3 - 20055*q**2 - 26813535*q - 11949898765.
-5*(q + 1337)**3
Factor -5*c**2 + 100*c + 480.
-5*(c - 24)*(c + 4)
Find b, given that 3*b**2 - 468*b + 18252 = 0.
78
Determine s so that -s**2/5 - 452*s/5 = 0.
-452, 0
Determine d, given that 2*d**2 + 5*d = 0.
-5/2, 0
Solve 242*j**3/9 - 176*j**2/3 + 10*j - 4/9 = 0 for j.
1/11, 2
Determine h, given that -2*h**3 - 6*h**2 - 6*h - 2 = 0.
-1
Factor -j**3/7 - 837*j**2/7 - 174723*j/7 + 175561/7.
-(j - 1)*(j + 419)**2/7
Determine d, given that -2*d**5/7 - 78*d**4/7 - 870*d**3/7 - 2162*d**2/7 - 288*d - 648/7 = 0.
-18, -1
Factor -2*l**2/17 - 20*l/17 - 32/17.
-2*(l + 2)*(l + 8)/17
Determine i so that -400*i**4 - 1392*i**3 - 772*i**2 + 816*i - 16 = 0.
-2, 1/50, 1/2
What is v in 2*v**3 + 26*v**2 + 52*v - 80 = 0?
-10, -4, 1
Find n such that -3*n**2 - 513*n = 0.
-171, 0
Solve 16*o**3 - 52*o**2 - 52*o + 16 = 0.
-1, 1/4, 4
Factor q**2 + 76*q + 288.
(q + 4)*(q + 72)
Determine r so that r**2 - 9*r - 36 = 0.
-3, 12
Factor 4*z**4/5 - 12*z**2/5 + 8*z/5.
4*z*(z - 1)**2*(z + 2)/5
Factor -34965783*u**3 - 641574*u**2 - 3924*u - 8.
-(327*u + 2)**3
Solve t**3/2 + 829*t**2/2 + 171395*t/2 - 172225/2 = 0 for t.
-415, 1
Find p such that -p**4/6 + 5*p**3/2 + 17*p**2/6 - 5*p/2 - 8/3 = 0.
-1, 1, 16
Factor -4*p**3/5 + 16*p**2 - 148*p/5 + 72/5.
-4*(p - 18)*(p - 1)**2/5
Factor 33*n**2 + 501*n + 90.
3*(n + 15)*(11*n + 2)
Suppose 2*s**4/5 + 48*s**3/5 + 126*s**2/5 - 8*s/5 - 168/5 = 0. Calculate s.
-21, -2, 1
Factor -968*v**3/13 - 6358*v**2/13 - 12416*v/13 - 6144/13.
-2*(4*v + 3)*(11*v + 32)**2/13
Let 18*p**4 + 183*p**3 + 336*p**2 + 195*p + 24 = 0. Calculate p.
-8, -1, -1/6
Factor 2*w**2/11 + 306*w/11 - 620/11.
2*(w - 2)*(w + 155)/11
Factor 3*a**4 + 78*a**3 + 684*a**2 + 2280*a + 2400.
3*(a + 2)*(a + 4)*(a + 10)**2
Let 2*b**2/7 - 32*b/7 + 110/7 = 0. Calculate b.
5, 11
Find r, given that -4*r**2 + 360*r - 3744 = 0.
12, 78
Determine n so that 2*n**3/7 - 8*n**2/7 + 8*n/7 = 0.
0, 2
Factor -5*v**3 - 350*v**2 - 685*v - 340.
-5*(v + 1)**2*(v + 68)
Determine u, given that 4*u**3 + 129*u**2 + 1056*u + 256 = 0.
-16, -1/4
Factor d**2/2 - 301*d + 600.
(d - 600)*(d - 2)/2
Factor 3*r**2/2 - 135*r/2 - 69.
3*(r - 46)*(r + 1)/2
Let u**4/3 - 3*u**2 - 4*u/3 + 4 = 0. What is u?
-2, 1, 3
Let -25*w**3 + 1330*w**2 = 0. Calculate w.
0, 266/5
Solve -m**5 - 18*m**4 - 117*m**3 - 324*m**2 - 324*m = 0.
-6, -3, 0
Factor 4*v**3