y + 17)/3
Factor -3*u**3/4 - 3*u**2 + 9*u.
-3*u*(u - 2)*(u + 6)/4
Factor -98*n**3 + 1204*n**2 + 5486*n + 5408.
-2*(n - 16)*(7*n + 13)**2
Suppose -3*u**4 + 15*u**3/2 - 3*u**2 = 0. Calculate u.
0, 1/2, 2
Factor -20*s**5 + 72*s**4 - 84*s**3 + 32*s**2.
-4*s**2*(s - 1)**2*(5*s - 8)
Factor 5*c**4 + 270*c**3 + 2760*c**2 + 10400*c + 13440.
5*(c + 4)**3*(c + 42)
Let 9*t**5 - 15*t**4 - 210*t**3 - 180*t**2 + 216*t = 0. Calculate t.
-3, -2, 0, 2/3, 6
Solve 3*h**5 + 3*h**4 - 51*h**3 - 51*h**2 + 48*h + 48 = 0 for h.
-4, -1, 1, 4
Factor 6*v**4 - 160*v**3 + 102*v**2 + 52*v.
2*v*(v - 26)*(v - 1)*(3*v + 1)
Find w such that -3*w**2 + 24*w + 252 = 0.
-6, 14
Factor -4*s**3/7 - 116*s**2/7 - 920*s/7 - 1408/7.
-4*(s + 2)*(s + 11)*(s + 16)/7
Factor 3*d**4/5 + 12*d**3 - 45*d**2 - 1350*d.
3*d*(d - 10)*(d + 15)**2/5
Factor -b**3/4 - 137*b**2/4 + 176*b - 213.
-(b - 3)*(b - 2)*(b + 142)/4
What is j in 28*j**3 - 19484*j**2 + 3388128*j + 484416 = 0?
-1/7, 348
Let 3*n**2 + 1314*n + 143883 = 0. What is n?
-219
Let 12*i**4/5 - 99*i**3/5 + 252*i**2/5 - 201*i/5 + 36/5 = 0. What is i?
1/4, 1, 3, 4
Solve 2*k**3/9 + 556*k**2/9 + 36920*k/9 - 80656/3 = 0.
-142, 6
Factor 4*o**5 - 416*o**4 + 816*o**3 + 8*o**2 - 820*o + 408.
4*(o - 102)*(o - 1)**3*(o + 1)
Let -2*d**5/17 - 54*d**4/17 + 176*d**3/17 - 120*d**2/17 = 0. Calculate d.
-30, 0, 1, 2
Factor -4*w**4 + 219*w**3 - 369*w**2 - 106*w.
-w*(w - 53)*(w - 2)*(4*w + 1)
Solve 2*d**5/3 + 94*d**4 + 1218*d**3 + 12446*d**2/3 = 0 for d.
-127, -7, 0
Factor 4*l**4 - 12*l**3 + 4*l**2 + 12*l - 8.
4*(l - 2)*(l - 1)**2*(l + 1)
Factor b**2/9 + 2*b/9 - 35/9.
(b - 5)*(b + 7)/9
Factor 2*i**3/23 - 8*i**2/23 + 10*i/23 - 4/23.
2*(i - 2)*(i - 1)**2/23
Find w, given that -3*w**5/2 - 29*w**4/2 - 127*w**3/6 - 19*w**2/2 - 4*w/3 = 0.
-8, -1, -1/3, 0
Solve 10*k**4 + 2424*k**3 + 968*k**2 = 0.
-242, -2/5, 0
Factor 2*r**3/13 - 778*r**2/13 - 60*r.
2*r*(r - 390)*(r + 1)/13
Factor 3*p**2/5 - 87*p/5 - 186/5.
3*(p - 31)*(p + 2)/5
Let 3*o**5 - 51*o**4 - 57*o**3 + 51*o**2 + 54*o = 0. Calculate o.
-1, 0, 1, 18
Factor 2*s**3/13 - 164*s**2/13.
2*s**2*(s - 82)/13
Factor -q**3/5 - 9*q**2/5 - 3*q - 7/5.
-(q + 1)**2*(q + 7)/5
Factor t**3 - 11*t**2 + 10*t.
t*(t - 10)*(t - 1)
Determine m so that -5*m**3/3 + 47*m**2/3 - 58*m/3 + 16/3 = 0.
2/5, 1, 8
Determine o, given that -o**3/9 - 5*o**2/9 + 22*o/9 - 16/9 = 0.
-8, 1, 2
Determine q, given that -8*q**4/21 - 94*q**3/21 + 134*q**2/21 + 46*q/21 - 26/7 = 0.
-13, -3/4, 1
Suppose 4*x**4 - 24*x**3 - 4*x**2 + 24*x = 0. What is x?
-1, 0, 1, 6
Determine v so that -4*v**4 + 72*v**2 + 128*v + 60 = 0.
-3, -1, 5
Factor -4*i**3 - 416*i**2 - 388*i + 2472.
-4*(i - 2)*(i + 3)*(i + 103)
Suppose -5*w**2 + 38700*w - 74884500 = 0. What is w?
3870
Suppose 2*p**4/5 + 6*p**3 - 56*p**2/5 - 384*p/5 = 0. What is p?
-16, -3, 0, 4
What is k in -3*k**4 + 459*k**3 - 17325*k**2 - 17787*k = 0?
-1, 0, 77
Solve -s**4/7 - 10*s**3/7 - 25*s**2/7 = 0.
-5, 0
Factor -4*c**3 - 28*c**2 + 4*c + 28.
-4*(c - 1)*(c + 1)*(c + 7)
Factor 15*y**2 + 1315*y + 870.
5*(y + 87)*(3*y + 2)
Determine g, given that 3*g**5 - 30*g**4 + 66*g**3 + 72*g**2 - 189*g - 162 = 0.
-1, 3, 6
Factor -3*z**2/5 - 74*z/5 - 48/5.
-(z + 24)*(3*z + 2)/5
Determine d so that -4*d**3 + 13798*d**2 - 34474*d + 13788 = 0.
1/2, 2, 3447
Suppose -r**3/5 - 164*r**2 + r/5 + 164 = 0. Calculate r.
-820, -1, 1
Factor 10*s**4 + 816*s**3 + 2388*s**2 + 2368*s + 786.
2*(s + 1)**3*(5*s + 393)
Factor 3*f**2/4 - 141*f/4 + 135/2.
3*(f - 45)*(f - 2)/4
Factor u**2 - 10*u.
u*(u - 10)
Let -2*s**4/5 + 24*s**3/5 + 24*s**2/5 - 896*s/5 + 1536/5 = 0. Calculate s.
-6, 2, 8
Let -4*m**2 - 416*m - 10816 = 0. What is m?
-52
Factor -b**3/7 + 74*b**2/7 - 1369*b/7.
-b*(b - 37)**2/7
Factor -9*c**3 + 38*c**2 - 35*c + 6.
-(c - 3)*(c - 1)*(9*c - 2)
Suppose -7*g**4/6 + 37*g**3/6 - 4*g**2 - 26*g/3 + 8/3 = 0. What is g?
-1, 2/7, 2, 4
Suppose -18*k**4 + 273*k**3 - 33*k**2 - 177*k - 45 = 0. What is k?
-1/2, -1/3, 1, 15
Determine l so that l**5/3 + 16*l**4/3 + 26*l**3 + 48*l**2 + 27*l = 0.
-9, -3, -1, 0
Factor -5*c**4 + 155*c**3 - 140*c**2 - 300*c.
-5*c*(c - 30)*(c - 2)*(c + 1)
Factor s**2/4 - 132*s + 527/4.
(s - 527)*(s - 1)/4
Factor j**2/3 - 20*j/3 - 32.
(j - 24)*(j + 4)/3
Factor -3*u**2 + 48.
-3*(u - 4)*(u + 4)
Let g**3/4 + 4*g**2 - 17*g/4 = 0. Calculate g.
-17, 0, 1
Suppose 2*u**5/11 + 10*u**4 - 342*u**3/11 + 346*u**2/11 - 116*u/11 = 0. Calculate u.
-58, 0, 1
Determine u so that -5*u**4/2 - 1245*u**3/2 - 3705*u**2/2 - 3695*u/2 - 615 = 0.
-246, -1
Suppose -5*a**3 + 75*a**2 - 60*a - 140 = 0. Calculate a.
-1, 2, 14
Factor h**2 - 203*h + 202.
(h - 202)*(h - 1)
Solve -16*y**5 + 36*y**4 + 56*y**3 - 48*y**2 - 40*y + 12 = 0 for y.
-1, 1/4, 1, 3
Factor -20*h**2 + 115*h + 30.
-5*(h - 6)*(4*h + 1)
Factor 3*n**2 + 120*n + 525.
3*(n + 5)*(n + 35)
Solve o**5/4 + 65*o**4/4 - 201*o**3/4 + 203*o**2/4 - 17*o = 0 for o.
-68, 0, 1
Factor 4*n**4 + 16*n**3 + 4*n**2 - 24*n.
4*n*(n - 1)*(n + 2)*(n + 3)
Determine s, given that 2*s**2 - 24*s - 56 = 0.
-2, 14
Find f, given that -15*f**4/4 - 79*f**3/4 - 53*f**2/2 - f + 6 = 0.
-3, -2, -2/3, 2/5
Solve k**2/3 + 40*k/3 = 0.
-40, 0
Solve 5*l**2 + 375*l - 770 = 0.
-77, 2
Find f such that -30*f**5/7 + 39*f**4 - 897*f**3/7 + 1257*f**2/7 - 657*f/7 + 54/7 = 0.
1/10, 1, 2, 3
Solve 3*p**3/5 + 2547*p**2/5 + 720801*p/5 + 67995561/5 = 0.
-283
Factor 3*h**3 + 105*h**2 - 114*h - 216.
3*(h - 2)*(h + 1)*(h + 36)
Solve 4*u**3 - 20*u**2 - 196*u + 980 = 0.
-7, 5, 7
Factor -3*d**2/4 + 1937*d - 1291.
-(d - 2582)*(3*d - 2)/4
Factor 4*m**5 + 160*m**4 + 2100*m**3 + 11880*m**2 + 28080*m + 18144.
4*(m + 1)*(m + 6)**3*(m + 21)
Determine l so that 8*l**4 - 106*l**3/3 + 12*l**2 + 16*l/3 = 0.
-1/4, 0, 2/3, 4
Factor 3*f**4 - 24*f**3 - 90*f**2 - 96*f - 33.
3*(f - 11)*(f + 1)**3
Solve -2*f**2/19 + 14*f/19 - 20/19 = 0.
2, 5
Factor -2*u**3/7 + 2*u**2/7 + 6*u - 90/7.
-2*(u - 3)**2*(u + 5)/7
Factor 75*j**3 - 20*j**2 - 15*j.
5*j*(3*j + 1)*(5*j - 3)
Determine k so that -k**4/4 - 13*k**3/4 - 57*k**2/4 - 99*k/4 - 27/2 = 0.
-6, -3, -1
Suppose j**2/5 - 24*j/5 - 68 = 0. Calculate j.
-10, 34
Factor 2*p**3 + 90*p**2 + 174*p + 86.
2*(p + 1)**2*(p + 43)
Factor 5*r**4 - 70*r**3.
5*r**3*(r - 14)
Find c such that -2*c**2/9 - 34*c/9 = 0.
-17, 0
Let -3*u**2/11 - 94*u/11 - 120/11 = 0. Calculate u.
-30, -4/3
What is c in 28*c**3 - 106*c**2 + 70*c - 12 = 0?
2/7, 1/2, 3
Find o, given that -27*o**4/4 - 1017*o**3/2 - 4647*o**2/4 - 879*o - 219 = 0.
-73, -1, -2/3
Suppose 15*x**5 + 12174*x**4 - 4917*x**3 - 36552*x**2 - 9732*x + 9744 = 0. Calculate x.
-812, -1, 2/5, 2
Factor 3*x**2 - 36*x + 81.
3*(x - 9)*(x - 3)
Suppose 38*p**3/3 + 36*p**2 - 6*p = 0. What is p?
-3, 0, 3/19
Factor 4*v**5 - 36*v**4 + 60*v**3 + 100*v**2.
4*v**2*(v - 5)**2*(v + 1)
Factor -5*c**2 - 4260*c - 907380.
-5*(c + 426)**2
Suppose 5*o**4 + 160*o**3 + 1830*o**2 + 8800*o + 15125 = 0. What is o?
-11, -5
Suppose -2*r**2/5 - 3096*r/5 + 1240 = 0. Calculate r.
-1550, 2
Factor -2*g**3/11 - 200*g**2/11 - 4794*g/11 + 10404/11.
-2*(g - 2)*(g + 51)**2/11
Factor -375*t**2 + 50*t - 5/3.
-5*(15*t - 1)**2/3
Factor -4*w**4 + 108*w**2 - 200*w + 96.
-4*(w - 4)*(w - 1)**2*(w + 6)
Factor -3*f**3/4 - 301*f**2/4 - 170*f + 147.
-(f + 3)*(f + 98)*(3*f - 2)/4
Suppose 2*l**5/3 - 40*l**4/3 + 236*l**3/3 - 184*l**2/3 - 1246*l/3 - 784/3 = 0. Calculate l.
-1, 7, 8
Factor o**4/7 + 4*o**3 + 78*o**2/7 + 76*o/7 + 25/7.
(o + 1)**3*(o + 25)/7
Solve -4*v**3 + 4*v**2 + 24*v = 0 for v.
-2, 0, 3
Find o, given that 5*o**5 + 10*o**4 - 105*o**3 - 310*o**2 - 200*o = 0.
-4, -2, -1, 0, 5
Factor s**5 + 63*s**4 + 1186*s**3 + 6048*s**2 + 7840*s.
s*(s + 2)*(s + 5)*(s + 28)**2
What is p in -p**3/5 - 7*p**2 - 32*p/5 + 68/5 = 0?
-34, -2, 1
Let 10*o**4 - 8*o**3 - 62*o**2 - 12*o = 0. What is o?
-2, -1/5, 0, 3
Factor 16*z**4 - 10064*z**3 + 1587588*z**2 - 1580048*z + 394384.
4*(z - 314)**2*(2*z - 1)**2
Suppose -3*s**3 - 24*s**2 - 39*s - 18 = 0. What is s?
-6, -1
Determine q, given that 27*q**3/4 + 123*q**2 + 27*q = 0.
-18, -2/9, 0
Let d**4/5 + 2*d**3/5 - d**2/5 - 2*d/5 = 0. What is d?
-2, -1, 0, 1
Find b such that -9*b**5/7 - 75*b**4/7 - 69*b**3/7 + 111*b**2/7 + 6*b = 0.
-7, -2, -1/3, 0, 1
Solve -4*d**4 - 44*d**3 - 172*d**2 - 276*d - 144 = 0 for d.
-4, -3, -1
Solve -27*n**4 + 84960*n**3 + 28338*n**2 - 47208*n + 9441 = 0.
-1, 1/3, 3147
Determine d, given that d**3/3 - 6293*d**2/3 + 32991