
Factor 3*a**4/4 - 3*a**3 - 9*a**2 + 24*a + 48.
3*(a - 4)**2*(a + 2)**2/4
Factor 2*k**2/9 + 18*k - 332/9.
2*(k - 2)*(k + 83)/9
Suppose 16*y**2 - 63*y - 4 = 0. What is y?
-1/16, 4
Let 2*t**4/7 - 8*t**3/7 - 36*t**2/7 - 40*t/7 - 2 = 0. Calculate t.
-1, 7
Factor -p**2 + 1834*p - 840889.
-(p - 917)**2
Determine j, given that 4*j**3 + 20*j**2 - 452*j - 468 = 0.
-13, -1, 9
Factor h**5 + h**4 - h**3 - h**2.
h**2*(h - 1)*(h + 1)**2
What is s in s**2/4 - 25*s + 1771/4 = 0?
23, 77
Determine u so that 25*u**3 + 270*u**2 + 600*u + 320 = 0.
-8, -2, -4/5
Determine n, given that -1058*n**2 - 17940*n - 76050 = 0.
-195/23
Solve -3*r**3 - 6*r**2 = 0 for r.
-2, 0
Suppose 2*s**5/9 + 2*s**4 - 94*s**3/9 + 14*s**2 - 52*s/9 = 0. Calculate s.
-13, 0, 1, 2
Suppose 3*n**2 - 5322*n + 2360307 = 0. Calculate n.
887
Find s such that 4*s**5/5 - 24*s**4/5 - 8*s**3/5 + 48*s**2/5 + 4*s/5 - 24/5 = 0.
-1, 1, 6
Factor -2*g**2/5 + 26*g.
-2*g*(g - 65)/5
Factor -5*q**3 + 25*q**2 - 15*q - 45.
-5*(q - 3)**2*(q + 1)
Solve -2*s**2/11 + 12*s/11 = 0.
0, 6
Factor -3*q**4 + 11*q**3 + 21*q**2 - 3*q - 10.
-(q - 5)*(q + 1)**2*(3*q - 2)
Solve -2*q**3 - 12*q**2 - 22*q - 12 = 0.
-3, -2, -1
Factor 2*p**2 + 70*p + 68.
2*(p + 1)*(p + 34)
Factor -2*o**2 + 34*o.
-2*o*(o - 17)
Factor -37*h**3 - 109*h**2 - 68*h + 4.
-(h + 1)*(h + 2)*(37*h - 2)
Solve 3*l**5 - 12*l**4 - 21*l**3 + 30*l**2 = 0 for l.
-2, 0, 1, 5
Let -216*g**5 + 3348*g**4 + 5328*g**3 + 3016*g**2 + 744*g + 68 = 0. What is g?
-1/2, -1/3, 17
Determine v, given that -v**4/6 - 5*v**3/2 + 17*v**2/2 - 53*v/6 + 3 = 0.
-18, 1
Find j, given that 2*j**3/11 - 20*j**2/11 + 46*j/11 - 28/11 = 0.
1, 2, 7
Factor -4*n**5 - 80*n**4 - 216*n**3 + 1168*n**2 - 1348*n + 480.
-4*(n - 1)**3*(n + 8)*(n + 15)
Factor 2*m**2/11 + 78*m/11 + 76/11.
2*(m + 1)*(m + 38)/11
What is k in 5*k**5 + 605*k**4 - 615*k**3 - 605*k**2 + 610*k = 0?
-122, -1, 0, 1
What is z in -7*z**3/5 - 93*z**2/5 - 306*z/5 - 16 = 0?
-8, -5, -2/7
Factor 7*y**5/2 + 727*y**4 + 56576*y**3 + 1952288*y**2 + 25028224*y - 7311616.
(y + 52)**4*(7*y - 2)/2
Factor -3*u**4 - 636*u**3 + 657*u**2 + 3834*u.
-3*u*(u - 3)*(u + 2)*(u + 213)
Find l such that 7*l**5/8 - 79*l**4/8 - 3*l**3/4 + 79*l**2/2 - 11*l = 0.
-2, 0, 2/7, 2, 11
What is s in -4*s**3 + 12*s**2 + 4*s - 12 = 0?
-1, 1, 3
Factor i**2 + 88*i/3 + 29/3.
(i + 29)*(3*i + 1)/3
Suppose r**4/2 - 64*r**3 + 189*r**2 - 188*r + 125/2 = 0. What is r?
1, 125
Factor 600*g**2 + 110*g - 65.
5*(4*g - 1)*(30*g + 13)
Factor -3*w**3 + 1770*w**2 - 259296*w - 525696.
-3*(w - 296)**2*(w + 2)
Suppose -t**3/2 + 7*t**2/2 + 14*t + 10 = 0. Calculate t.
-2, -1, 10
Let 2*w**4/13 + 14*w**3/13 - 24*w**2/13 - 352*w/13 - 640/13 = 0. What is w?
-4, 5
Factor 4*a**4 + 4*a**3 - 8*a**2.
4*a**2*(a - 1)*(a + 2)
Factor -2*i**2/13 + 16*i/13 + 256/13.
-2*(i - 16)*(i + 8)/13
What is d in -2*d**3 - 8*d**2 = 0?
-4, 0
Suppose -2*a**2 - 96*a = 0. Calculate a.
-48, 0
Find l, given that l**5 - 3*l**4 - 5*l**3 + 3*l**2 + 4*l = 0.
-1, 0, 1, 4
Determine i, given that 3*i**3/2 - 29*i**2 - 41*i/2 + 10 = 0.
-1, 1/3, 20
Factor 2*q**2 + 32*q + 128.
2*(q + 8)**2
Suppose -2*i**2 + 70*i - 572 = 0. What is i?
13, 22
Factor q**3/3 - 335*q**2/3 + 9296*q + 9408.
(q - 168)**2*(q + 1)/3
Suppose w**5/10 - 567*w**4 + 1285956*w**3 - 1458274104*w**2 + 826841416968*w - 937638166841712/5 = 0. What is w?
1134
What is k in -98*k**4 + 1456*k**3 - 5996*k**2 + 4368*k - 882 = 0?
3/7, 7
Factor -s**2 - 28*s + 93.
-(s - 3)*(s + 31)
Let 2*n**3 + 2956*n**2/3 + 3590*n + 1956 = 0. Calculate n.
-489, -3, -2/3
Find c, given that 35*c**4/2 - 97*c**3/8 - 321*c**2/8 - 11*c - 1/2 = 0.
-1, -1/4, -2/35, 2
Factor w**2/6 - w + 4/3.
(w - 4)*(w - 2)/6
Factor -3*l**2 + 78*l.
-3*l*(l - 26)
Solve -3*p**4/5 - 18*p**3 - 999*p**2/5 - 972*p - 8748/5 = 0 for p.
-9, -6
Find m such that 40*m**5/9 + 194*m**4 + 4402*m**3/9 + 256*m**2 + 328*m/9 = 0.
-41, -2, -2/5, -1/4, 0
Factor 2*l**3/3 + 5*l**2/6 - 2*l/3 - 5/6.
(l - 1)*(l + 1)*(4*l + 5)/6
Factor -5*b**4 + 40*b**3 - 115*b**2 + 140*b - 60.
-5*(b - 3)*(b - 2)**2*(b - 1)
Determine t so that -4*t**4 + 33*t**3 - 72*t**2 + 16*t = 0.
0, 1/4, 4
Factor 135*k**4 + 2970*k**3 - 6300*k**2 + 4280*k - 960.
5*(k + 24)*(3*k - 2)**3
Factor o**4 - 9*o**3 - 3*o**2 + 29*o - 18.
(o - 9)*(o - 1)**2*(o + 2)
Factor -2*c**2 - 346*c - 684.
-2*(c + 2)*(c + 171)
Factor -2*h**4 - 488*h**3/3 - 54*h**2.
-2*h**2*(h + 81)*(3*h + 1)/3
Factor -b**2 - 248*b + 249.
-(b - 1)*(b + 249)
What is f in -10*f**4/7 + 108*f**3/7 + 62*f**2/7 - 432*f/7 - 88/7 = 0?
-2, -1/5, 2, 11
Factor 5*z**2 + 295*z - 3060.
5*(z - 9)*(z + 68)
Factor 3*s**2 - 81*s + 78.
3*(s - 26)*(s - 1)
Solve -2*k**5/15 + 14*k**4/15 - 2*k**3/3 - 62*k**2/15 + 4*k = 0 for k.
-2, 0, 1, 3, 5
Let -4*t**2 - 310*t + 156 = 0. What is t?
-78, 1/2
Factor 2*a**2 - 442*a - 444.
2*(a - 222)*(a + 1)
Solve -p**2/2 - 24*p + 385/2 = 0 for p.
-55, 7
Factor 4*c**4 + 1328*c**3 + 107536*c**2 - 446208*c + 451584.
4*(c - 2)**2*(c + 168)**2
Factor 2*w**4 - 44*w**3 - 270*w**2.
2*w**2*(w - 27)*(w + 5)
Factor z**5/4 - 2*z**4 + 3*z**3.
z**3*(z - 6)*(z - 2)/4
Find k, given that -5*k**3 - 250*k**2 - 1145*k - 900 = 0.
-45, -4, -1
Factor -2*a**2/17 + 100*a/17 - 1250/17.
-2*(a - 25)**2/17
Solve 2*k**5 + 11*k**4/3 - 32*k**3 + 2*k**2 + 58*k/3 + 5 = 0.
-5, -1/2, -1/3, 1, 3
What is x in 5*x**4 + 55*x**3 + 15*x**2 - 1015*x - 980 = 0?
-7, -1, 4
Factor 3*l**2 - 48*l - 576.
3*(l - 24)*(l + 8)
Find p, given that -3*p**4/4 + 21*p**3/4 + 75*p**2/4 - 201*p/4 + 27 = 0.
-4, 1, 9
Factor 4*o**3 + 4*o**2.
4*o**2*(o + 1)
Factor 3*m**3 - 21*m**2 + 33*m - 15.
3*(m - 5)*(m - 1)**2
Factor -x**3/2 - 2*x**2 + 14*x - 16.
-(x - 2)**2*(x + 8)/2
Factor 18*n**4 + 744*n**3 + 6632*n**2 - 21824*n + 15488.
2*(n + 22)**2*(3*n - 4)**2
Find f such that -5*f**5 + 95*f**4 + 690*f**3 + 1460*f**2 + 1000*f = 0.
-2, 0, 25
Find j, given that 2*j**5/13 - 10*j**4/13 + 2*j**3/13 + 42*j**2/13 - 36*j/13 = 0.
-2, 0, 1, 3
Factor 10*o**2/7 + 46*o/7 - 20/7.
2*(o + 5)*(5*o - 2)/7
Find k such that 4*k**2 + 440*k = 0.
-110, 0
Determine v, given that 3*v**5 + 42*v**4 + 117*v**3 - 486*v**2 - 1620*v + 1944 = 0.
-6, 1, 3
Determine n so that -3*n**3 - 201*n**2/7 - 84*n - 540/7 = 0.
-5, -18/7, -2
Factor -3*d**3/2 + 3033*d**2 - 2044242*d + 459273036.
-3*(d - 674)**3/2
Find l, given that 15*l**5 - 126*l**4 + 393*l**3 - 558*l**2 + 348*l - 72 = 0.
2/5, 1, 2, 3
Determine j, given that j**5 - 26*j**4 + 238*j**3 - 892*j**2 + 1169*j - 490 = 0.
1, 7, 10
Suppose -39*d**4 - 357*d**3 - 639*d**2 - 363*d - 42 = 0. Calculate d.
-7, -1, -2/13
Factor -2*g**4/3 + 4*g**3 + 80*g**2/3.
-2*g**2*(g - 10)*(g + 4)/3
Suppose -5*l**4 + 433*l**3 - 9503*l**2 + 5547*l = 0. What is l?
0, 3/5, 43
Factor 2*r**3 - 4*r**2 - 48*r.
2*r*(r - 6)*(r + 4)
Factor g**4/6 + g**3/3 - 5*g**2/2 - 6*g.
g*(g - 4)*(g + 3)**2/6
Factor y**3 + 2*y**2 - 13*y + 10.
(y - 2)*(y - 1)*(y + 5)
Solve -2*r**3/9 - 740*r**2/9 - 68450*r/9 = 0 for r.
-185, 0
Let 5*r**2 - 25*r + 30 = 0. Calculate r.
2, 3
Factor -d**3/3 - 155*d**2/3 + d/3 + 155/3.
-(d - 1)*(d + 1)*(d + 155)/3
Factor 55*a**3/2 - 160*a**2 + 435*a/2 + 45.
5*(a - 3)**2*(11*a + 2)/2
Let 5*y**5/2 + 20*y**4 - 200*y**3 + 155*y**2 + 395*y/2 - 175 = 0. What is y?
-14, -1, 1, 5
Factor -3*c**4 + 93*c**3 - 333*c**2 + 243*c.
-3*c*(c - 27)*(c - 3)*(c - 1)
Factor 6*m**3 + 441*m**2 + 642*m - 432.
3*(m + 2)*(m + 72)*(2*m - 1)
Determine t, given that -1369*t**2/4 + 111*t - 9 = 0.
6/37
Factor r**3/2 - 3*r**2/2.
r**2*(r - 3)/2
Let -324*f**4 - 143028*f**3 + 79688*f**2 + 56592*f + 7072 = 0. What is f?
-442, -2/9, 1
Factor -50*u**4/7 + 106990*u**3/7 - 12224*u**2 + 17112*u/7.
-2*u*(u - 2139)*(5*u - 2)**2/7
Suppose -10*l**4/19 + 204*l**3/19 - 80*l**2/19 = 0. Calculate l.
0, 2/5, 20
Solve 2*q**5/23 + 20*q**4/23 - 32*q**3/23 - 116*q**2/23 - 66*q/23 = 0.
-11, -1, 0, 3
Factor 2*n**3 + 88*n**2.
2*n**2*(n + 44)
Suppose -a**3/6 - 3*a**2 - 17*a/6 = 0. What is a?
-17, -1, 0
Suppose -3*l**4/8 - 1215*l**3/4 + 3*l**2/8 + 1215*l/4 = 0. Calculate l.
-810, -1, 0, 1
Solve 38*z**3 + 144*z**2 + 120*z - 32 = 0 for z.
-2, 4/19
Determine i so that -i**3/4 - 25*i**2/2 - 142*i + 336 = 0.
-28, -24, 2
Suppose b**2 + 139*b - 140 = 0. What is b?
-140, 1
Factor -3*v**3 + 2919*v**2 - 705648*v - 2143296.
-3*(v - 488)**2*(v + 3)
Factor o**3/3 - 49*o**2/3 - 217*o/3 + 265/3.
(o - 53)*(o - 1)*(o + 5)/3
Suppose 5*d**5 + 50*d**4 - 355*d**3 + 300