 = 0.
2, 428
Factor -p**3/2 - 19*p**2/2 - 40*p + 50.
-(p - 1)*(p + 10)**2/2
Solve -3*x**2/5 + 13218*x/5 - 14559627/5 = 0.
2203
Factor 2*w**3/7 - 24*w**2/7 + 10*w - 48/7.
2*(w - 8)*(w - 3)*(w - 1)/7
Determine a, given that 14*a**2/5 + 3912*a/5 + 1674/5 = 0.
-279, -3/7
Factor 2*u**3 + 476*u**2 - 8*u - 1904.
2*(u - 2)*(u + 2)*(u + 238)
Find p such that -p**2 - 15*p - 54 = 0.
-9, -6
Factor -4*s**2 - 436*s + 440.
-4*(s - 1)*(s + 110)
Suppose x**4/2 + 5*x**3/2 - 85*x**2/2 - 185*x/2 + 132 = 0. What is x?
-11, -3, 1, 8
Factor -3*d**5 + 27*d**4 - 72*d**3 + 60*d**2.
-3*d**2*(d - 5)*(d - 2)**2
Determine t, given that 5*t**5 + 25*t**4 - 5*t**3 - 145*t**2 - 60*t + 180 = 0.
-3, -2, 1, 2
Suppose m**5/4 - 135*m**4/4 + 265*m**3/4 + 135*m**2/4 - 133*m/2 = 0. Calculate m.
-1, 0, 1, 2, 133
Factor 2*p**4/5 + 16*p**3/5 - 2*p**2/5 - 16*p/5.
2*p*(p - 1)*(p + 1)*(p + 8)/5
Factor 5*o**4 - 175*o**3 + 1245*o**2 - 1985*o + 910.
5*(o - 26)*(o - 7)*(o - 1)**2
Factor -2*p**4/3 - 4*p**3/3 + 8*p**2/3 + 16*p/3.
-2*p*(p - 2)*(p + 2)**2/3
Determine f, given that -2*f**5 - 10*f**4 - 14*f**3 - 6*f**2 = 0.
-3, -1, 0
Let -t**2 + 46*t = 0. Calculate t.
0, 46
Factor -4*d**4 + 156*d**3 - 1376*d**2 + 2160*d.
-4*d*(d - 27)*(d - 10)*(d - 2)
Suppose -i**2/3 - 13*i/3 = 0. What is i?
-13, 0
Factor -3*o**4 - 156*o**3 - 2016*o**2 + 624*o + 8112.
-3*(o - 2)*(o + 2)*(o + 26)**2
Factor -2*x**4/7 + 2*x**2 + 12*x/7.
-2*x*(x - 3)*(x + 1)*(x + 2)/7
Solve 3*m**5/5 + 39*m**4/5 - 99*m**3/5 - 111*m**2/5 + 348*m/5 - 36 = 0.
-15, -2, 1, 2
Factor -32*x**3/3 + 44*x**2/3 - 4*x.
-4*x*(x - 1)*(8*x - 3)/3
Factor 6*n**4 - 34*n**3 + 36*n**2 + 16*n.
2*n*(n - 4)*(n - 2)*(3*n + 1)
Factor -2*x**4/7 + 6*x**3/7 - 8*x/7.
-2*x*(x - 2)**2*(x + 1)/7
Find v, given that -2*v**4/17 - 90*v**3/17 + 290*v**2/17 + 90*v/17 - 288/17 = 0.
-48, -1, 1, 3
Determine u, given that 3*u**2/5 + 129*u/5 - 132/5 = 0.
-44, 1
Find s, given that -65*s**4 + 720*s**3 + 1570*s**2 + 720*s - 65 = 0.
-1, 1/13, 13
Let p**2/3 = 0. What is p?
0
Factor -5*w**3 + 3125*w**2 - 486715*w - 489845.
-5*(w - 313)**2*(w + 1)
Factor -4*p**3 - 32*p**2 - 36*p + 72.
-4*(p - 1)*(p + 3)*(p + 6)
Factor -5*c**2 + 1550*c + 1555.
-5*(c - 311)*(c + 1)
Factor -2*w**4 - 42*w**3 + 44*w**2.
-2*w**2*(w - 1)*(w + 22)
Find s such that 24*s**2 - 164*s + 272 = 0.
17/6, 4
Suppose 3*c**4 + 342*c**3 + 336*c**2 - 342*c - 339 = 0. Calculate c.
-113, -1, 1
Factor -3*c**3 - 1725*c**2 - 5154*c - 3432.
-3*(c + 1)*(c + 2)*(c + 572)
Factor 4*o**3 - 32*o**2 + 80*o - 64.
4*(o - 4)*(o - 2)**2
Factor -5*f**3 + 195*f**2 - 1800*f - 2000.
-5*(f - 20)**2*(f + 1)
What is m in 4*m**4 + 32*m**3 - 36*m**2 = 0?
-9, 0, 1
Find m, given that m**2/5 - 67*m + 2616/5 = 0.
8, 327
Factor 3*p**5 + 39*p**4 + 99*p**3 - 231*p**2 - 294*p.
3*p*(p - 2)*(p + 1)*(p + 7)**2
Factor -4*j**4 + 10*j**3 - 8*j**2 + 2*j.
-2*j*(j - 1)**2*(2*j - 1)
Factor -3*u**3 - 12*u**2.
-3*u**2*(u + 4)
Determine q so that 5*q**3 + 100*q**2 + 555*q + 900 = 0.
-12, -5, -3
Suppose t**4 - 34*t**3 = 0. Calculate t.
0, 34
Factor -2*y**4/5 - 1976*y**3/5 + 1978*y**2/5.
-2*y**2*(y - 1)*(y + 989)/5
Factor 2*g**3/13 - 18*g**2/13 + 16*g/13.
2*g*(g - 8)*(g - 1)/13
Let -j**5 + 4*j**4 - j**3 - 6*j**2 = 0. What is j?
-1, 0, 2, 3
What is k in 3*k**2 + 7068*k + 4163052 = 0?
-1178
Factor -t**2/8 - 3*t/8 - 1/4.
-(t + 1)*(t + 2)/8
Factor -u**2 + 8710*u - 18966025.
-(u - 4355)**2
Find q, given that -4*q**3 + 128*q**2 + 4*q - 128 = 0.
-1, 1, 32
Factor 5*c**5 - 5*c**4 - 20*c**3 + 20*c**2.
5*c**2*(c - 2)*(c - 1)*(c + 2)
Factor -5*d**2 - 470*d + 1455.
-5*(d - 3)*(d + 97)
Factor -2*n**2/7 - 48*n/7 - 46/7.
-2*(n + 1)*(n + 23)/7
What is t in -t**3/3 + 22*t**2 - 363*t = 0?
0, 33
Factor -3*r**3 - 504*r**2 - 21168*r.
-3*r*(r + 84)**2
Solve 16*r**2/9 - 14*r/9 - 10/3 = 0 for r.
-1, 15/8
Factor y**4/2 + 7*y**3/2 + 8*y**2 + 6*y.
y*(y + 2)**2*(y + 3)/2
Suppose t**4/2 + 29*t**3/2 + 55*t**2/2 + 27*t/2 = 0. Calculate t.
-27, -1, 0
Find h such that -3*h**4 - 9*h**3 + 3*h**2 + 9*h = 0.
-3, -1, 0, 1
Factor 10*t**3/9 + 47*t**2/3 - 298*t/9 + 32/3.
(t + 16)*(2*t - 3)*(5*t - 2)/9
Factor -2*h**2 + 110*h + 472.
-2*(h - 59)*(h + 4)
Factor -4*i**3 + 20*i**2 + 664*i + 640.
-4*(i - 16)*(i + 1)*(i + 10)
Let -6*b**5 - 556*b**4 + 1942*b**3 + 2092*b**2 - 1936*b - 1536 = 0. Calculate b.
-96, -1, -2/3, 1, 4
What is g in -3*g**5 - 30*g**4 + 72*g**3 + 1824*g**2 + 7296*g + 9216 = 0?
-6, -4, 8
Find c such that 2*c**5/3 - 34*c**4/3 - 118*c**3/3 - 46*c**2/3 + 116*c/3 + 80/3 = 0.
-2, -1, 1, 20
Factor -3*j**4/5 + 9*j**3/5 + 12*j**2/5.
-3*j**2*(j - 4)*(j + 1)/5
Solve -i**5/8 + 5*i**4/8 + i**3/2 - 5*i**2/2 = 0.
-2, 0, 2, 5
Determine f, given that 5*f**4/9 - 98*f**3/9 + 425*f**2/9 - 148*f/3 - 28 = 0.
-2/5, 3, 14
Factor 2*u**4/13 + 576*u**3/13 + 3564*u**2 + 699840*u/13 + 2952450/13.
2*(u + 9)**2*(u + 135)**2/13
Suppose j**3/2 + 462*j**2 + 142296*j + 14609056 = 0. Calculate j.
-308
Suppose -15*v**4 + 55*v**3 - 15*v**2 - 55*v + 30 = 0. Calculate v.
-1, 2/3, 1, 3
Find g such that -g**3/5 - 64*g**2/5 + g/5 + 64/5 = 0.
-64, -1, 1
Solve x**2/4 + 287*x/4 - 72 = 0 for x.
-288, 1
Factor 4*v**4 + 76*v**3 + 140*v**2 + 68*v.
4*v*(v + 1)**2*(v + 17)
Let -4*y**5/19 - 18*y**4/19 - 16*y**3/19 + 12*y**2/19 + 20*y/19 + 6/19 = 0. What is y?
-3, -1, -1/2, 1
Factor -44*i**3/3 - 2384*i**2/3 - 144*i.
-4*i*(i + 54)*(11*i + 2)/3
Suppose -3*r**5/8 + 9*r**4/4 - 21*r**3/8 - 9*r**2/4 + 3*r = 0. What is r?
-1, 0, 1, 2, 4
What is d in 2*d**3/5 + 404*d**2/5 - 816*d/5 = 0?
-204, 0, 2
Find l, given that 4*l**3 - 196*l**2 - 616*l - 416 = 0.
-2, -1, 52
Solve -6*a**2/11 + 180*a/11 = 0 for a.
0, 30
Factor -3*w**2/5 + 249*w/5 - 4896/5.
-3*(w - 51)*(w - 32)/5
Find y such that -2*y**3/15 + 442*y**2/15 - 724*y/5 + 864/5 = 0.
2, 3, 216
Solve 4*f**3 + 4184*f**2 = 0 for f.
-1046, 0
Let 2*p**4/7 + 8*p**3/7 - 76*p**2/7 + 120*p/7 - 54/7 = 0. Calculate p.
-9, 1, 3
Factor j**5/2 - 3*j**4 + 27*j**2 - 81*j/2.
j*(j - 3)**3*(j + 3)/2
Factor i**3/2 + 3*i**2/2 - 8*i + 6.
(i - 2)*(i - 1)*(i + 6)/2
Suppose -2*a**5/9 - 10*a**4/9 + 38*a**3/3 + 962*a**2/9 + 2320*a/9 + 200 = 0. Calculate a.
-5, -2, 9
Suppose 5*y**3 + 1050*y**2 - 2115*y + 1060 = 0. Calculate y.
-212, 1
Factor 3*w**2/5 + 42*w/5 + 99/5.
3*(w + 3)*(w + 11)/5
Determine d, given that -7*d**3 - 206*d**2 - 447*d + 324 = 0.
-27, -3, 4/7
Factor -116*i**2/5 + 226*i/5 + 12/5.
-2*(i - 2)*(58*i + 3)/5
Find r such that 2*r**3/5 - 9*r**2/5 + 7*r/5 + 6/5 = 0.
-1/2, 2, 3
Let f**3/3 + 37*f**2/3 + 62*f = 0. Calculate f.
-31, -6, 0
Factor 5*a**3 + 765*a**2 + 28875*a - 29645.
5*(a - 1)*(a + 77)**2
What is k in 2*k**3 + 28*k**2 - 34*k - 60 = 0?
-15, -1, 2
Factor o**3/4 - o**2/2 - 2*o.
o*(o - 4)*(o + 2)/4
Determine l, given that -4*l**4 + 1204*l**3 - 95808*l**2 + 776720*l - 682112 = 0.
1, 8, 146
Determine n so that -n**5/3 + 2*n**4 - 8*n**3/3 - 2*n**2/3 + 3*n - 4/3 = 0.
-1, 1, 4
Factor 2*r**2/7 + 8200*r/7 + 8405000/7.
2*(r + 2050)**2/7
Let 2*n**4/11 + 1624*n**3/11 + 4854*n**2/11 - 8*n/11 - 6472/11 = 0. What is n?
-809, -2, 1
Let -z**3 - 25*z**2 - 43*z + 69 = 0. What is z?
-23, -3, 1
What is m in m**2/8 + 55*m/2 - 221/8 = 0?
-221, 1
Suppose o**3 + 48*o**2 - 49*o = 0. Calculate o.
-49, 0, 1
Find m such that -m**5 + 3*m**4 + 15*m**3 + 17*m**2 + 6*m = 0.
-1, 0, 6
Find y such that -5*y**3 - 140*y**2 - 595*y - 460 = 0.
-23, -4, -1
Factor -9*w**3 + 159*w**2 - 675*w - 243.
-3*(w - 9)**2*(3*w + 1)
Determine d, given that d**5 + 4*d**4 + d**3 - 6*d**2 = 0.
-3, -2, 0, 1
Factor d**5 - d**4 - 2*d**3 + 2*d**2 + d - 1.
(d - 1)**3*(d + 1)**2
Factor -3*p**4 - 3*p**3 + 36*p**2 + 84*p + 48.
-3*(p - 4)*(p + 1)*(p + 2)**2
Suppose o**5/6 + 3*o**4 + 7*o**3/3 - 180*o**2 - 1053*o/2 + 1701 = 0. Calculate o.
-9, 2, 7
Let -2*a**3 - 16*a**2 + 66*a = 0. Calculate a.
-11, 0, 3
Factor -r**3/6 - 32*r**2/3 - 125*r/6 - 31/3.
-(r + 1)**2*(r + 62)/6
Find u such that 9*u**4 + 57*u**3 - 267*u**2 - 1425*u + 1050 = 0.
-7, -5, 2/3, 5
Find d, given that d**4/3 + d**3 - 15*d**2 + 27*d = 0.
-9, 0, 3
Find b such that -3*b**2 - 240*b = 0.
-80, 0
Solve -h**3 - 39*h**2 + 40*h = 0.
-40, 0, 1
Let 2*n**2/3 + 1624*n/3 + 1618 = 0. What is n?
-809, -3
Let c**5 - 6*c**4 + 11*c**3 - 2*c**2 - 12*c + 8 = 0. Calculate c.
-1, 1, 2
Factor -c**2/2 - 47*c/2 + 102.
-(c - 4)*(c + 51)/2
Factor -2*f**3/3 + 190*f**2/3 - 544*f/3 - 736/3.
-2*(f - 92)*(f - 4)*(f + 1)/3
Let 4*n**5 - 32*n**4 - 92*n**3 +