c**5 + 84*c**4 - 171*c**3 + 86*c**2.
c**2*(c - 1)**2*(c + 86)
Let -3*w**4/5 + 864*w**3/5 - 93312*w**2/5 + 4478976*w/5 - 80621568/5 = 0. What is w?
72
Factor 219*m**2/5 + 2853*m/5 + 78/5.
3*(m + 13)*(73*m + 2)/5
Factor -4*s**3 + 472*s**2 - 13440*s - 28800.
-4*(s - 60)**2*(s + 2)
What is o in -66*o**4 + 63*o**3 + 69*o**2 - 63*o - 3 = 0?
-1, -1/22, 1
Suppose l**3/2 - 43*l**2 - 99*l/2 + 522 = 0. Calculate l.
-4, 3, 87
Find s such that 3*s**4/5 - 6*s**3 - 21*s**2 + 72*s + 432/5 = 0.
-4, -1, 3, 12
Factor -2*g**2 - 408*g + 1242.
-2*(g - 3)*(g + 207)
Factor -4*u**3 + 12*u**2/7.
-4*u**2*(7*u - 3)/7
What is u in u**3 - 4822*u**2 + 5812921*u = 0?
0, 2411
Let 2*n**4/11 - 40*n**3/11 + 38*n**2/11 = 0. Calculate n.
0, 1, 19
Factor o**4/6 + 35*o**3/6 - 19*o**2 + 2*o/3 + 76/3.
(o - 2)**2*(o + 1)*(o + 38)/6
Determine x, given that -x**2/4 - 65*x/4 = 0.
-65, 0
What is s in -s**4 + 4*s**3 - 3*s**2 - 4*s + 4 = 0?
-1, 1, 2
Factor 2*t**2 + 342*t - 692.
2*(t - 2)*(t + 173)
Suppose m**4/3 + 122*m**3/3 + 40*m**2 - 122*m/3 - 121/3 = 0. Calculate m.
-121, -1, 1
Find f, given that -5*f**4 + 650*f**3 - 19085*f**2 - 132600*f - 208080 = 0.
-3, 68
Solve 8*g**5/9 - 130*g**4/9 + 596*g**3/9 - 1162*g**2/9 + 1016*g/9 - 328/9 = 0 for g.
1, 2, 41/4
Factor -5*p**4/2 - 35*p**3/2 + 110*p**2.
-5*p**2*(p - 4)*(p + 11)/2
Factor -6*j**3 + 9*j**2 - 3*j.
-3*j*(j - 1)*(2*j - 1)
Find u such that -4*u**3 + 568*u**2 + 1756*u - 2320 = 0.
-4, 1, 145
Factor v**3/4 - 161*v**2/4 + 195*v.
v*(v - 156)*(v - 5)/4
Find p such that 2170*p**3/13 + 848*p**2/13 - 8*p/13 = 0.
-2/5, 0, 2/217
Suppose 2*j**2/7 - 132*j/7 + 496/7 = 0. Calculate j.
4, 62
Factor -2*t**2/5 - 14*t/5 + 36/5.
-2*(t - 2)*(t + 9)/5
Suppose -3*i**5 - 29*i**4 + 269*i**3/3 + 69*i**2 + 12*i = 0. Calculate i.
-12, -1/3, 0, 3
Let -4*d**3/7 - 1464*d**2/7 - 133956*d/7 = 0. Calculate d.
-183, 0
Factor 5*y**2 + 5410*y + 16185.
5*(y + 3)*(y + 1079)
Determine c so that 3*c**2 - 6*c - 9 = 0.
-1, 3
Find y, given that -2*y**4 - 32*y**3 - 30*y**2 = 0.
-15, -1, 0
Suppose -45*p**5 + 180*p**4 + 500*p**3 - 1370*p**2 - 55*p + 150 = 0. Calculate p.
-3, -1/3, 1/3, 2, 5
Determine n, given that 4*n**2/5 + 8*n - 44/5 = 0.
-11, 1
Factor 2*m**4/15 - 68*m**3/5 + 5594*m**2/15 - 6664*m/5 + 19208/15.
2*(m - 49)**2*(m - 2)**2/15
Find b such that -9*b**3/4 + 155*b**2/4 + 32*b - 9 = 0.
-1, 2/9, 18
Solve -g**3/2 + 257*g**2/4 - 127*g/4 - 32 = 0 for g.
-1/2, 1, 128
Let 2*i**2/17 + 892*i/17 + 890/17 = 0. What is i?
-445, -1
Factor 4*p**4 - 104*p**3 + 436*p**2 + 3120*p + 3600.
4*(p - 15)**2*(p + 2)**2
Factor -3*i**2 - 354*i - 10443.
-3*(i + 59)**2
Determine v, given that v**4 - 2*v**3 - 7*v**2 + 20*v - 12 = 0.
-3, 1, 2
Determine v, given that v**5/2 - 9*v**4 - 31*v**3 - 12*v**2 + 61*v/2 + 21 = 0.
-2, -1, 1, 21
Find m, given that -4*m**2/9 + 2*m/3 + 10/9 = 0.
-1, 5/2
Factor -5*z**2 - 305*z - 4620.
-5*(z + 28)*(z + 33)
What is j in j**4/3 - 38*j**3/3 + 37*j**2/3 = 0?
0, 1, 37
Solve 7*r**3 + 348*r**2 + 243*r - 98 = 0 for r.
-49, -1, 2/7
Factor 3*i**3 + 27*i**2 + 45*i - 75.
3*(i - 1)*(i + 5)**2
Suppose 2*w**3 - 10*w**2 + 16*w - 8 = 0. What is w?
1, 2
Suppose 12*n**3/7 - 50*n**2/7 + 8*n/7 = 0. What is n?
0, 1/6, 4
Suppose -12*f**2/7 - 44*f/7 - 24/7 = 0. What is f?
-3, -2/3
What is b in -45*b**3 + 447*b**2 - 1095*b - 75 = 0?
-1/15, 5
Find t, given that -t**4/4 - 13*t**3/4 + 3*t**2/4 + 41*t/4 + 13/2 = 0.
-13, -1, 2
Let 5*u**3/2 + 285*u**2/2 + 3915*u/2 - 4205/2 = 0. Calculate u.
-29, 1
Let -25*b**4/4 - 15*b**3/4 + 6*b**2 + 4*b = 0. What is b?
-4/5, 0, 1
What is j in -6*j**5/7 - 68*j**4/7 - 40*j**3 - 500*j**2/7 - 354*j/7 - 72/7 = 0?
-4, -3, -1, -1/3
Find o, given that -3*o**5 - 198*o**4 + 858*o**3 + 1248*o**2 - 855*o - 1050 = 0.
-70, -1, 1, 5
Factor -4*j**5/7 - 4*j**4 - 32*j**3/7 + 64*j**2/7.
-4*j**2*(j - 1)*(j + 4)**2/7
Determine q, given that -1325*q**3 + 10*q**2 = 0.
0, 2/265
Find g such that -3*g**2 + 708*g - 41772 = 0.
118
Factor 3*x**3 + 210*x**2 - 213*x.
3*x*(x - 1)*(x + 71)
Determine c, given that -18*c**5 - 492*c**4 - 620*c**3 + 112*c**2 + 206*c - 52 = 0.
-26, -1, 1/3
What is g in g**2/2 - 32*g = 0?
0, 64
Solve -6*q**5 - 15*q**4 + 27*q**3 + 57*q**2 + 3*q - 18 = 0.
-3, -1, 1/2, 2
Factor -i**4/2 - 47*i**3/2 - 573*i**2/2 - 437*i/2 + 529.
-(i - 1)*(i + 2)*(i + 23)**2/2
What is p in -p**5/3 + 2*p**4 + p**3 - 16*p**2/3 - 4*p = 0?
-1, 0, 2, 6
Factor -4*x**2/3 - 56*x/3 + 380/3.
-4*(x - 5)*(x + 19)/3
Solve -3*q**4/4 - 15*q**3/4 - 15*q**2/4 + 15*q/4 + 9/2 = 0 for q.
-3, -2, -1, 1
Suppose 28*s**5 + 220*s**4 + 472*s**3 + 376*s**2 + 76*s - 20 = 0. Calculate s.
-5, -1, 1/7
Factor 7*m**3/2 - 39*m**2 + 81*m/2 - 5.
(m - 10)*(m - 1)*(7*m - 1)/2
Factor 3*m**4 - 12*m**3 + 15*m**2 - 6*m.
3*m*(m - 2)*(m - 1)**2
Factor 5*s**2/2 - 105*s/4 - 55/4.
5*(s - 11)*(2*s + 1)/4
Factor -3*i**3/2 - 11*i**2/2 - 6*i - 2.
-(i + 1)*(i + 2)*(3*i + 2)/2
Suppose -a**4/2 + 19*a**3 - 37*a**2/2 = 0. Calculate a.
0, 1, 37
Solve -5*t**2 + 105*t - 190 = 0 for t.
2, 19
Factor -i**3/3 - 26*i**2/3 - 64*i - 96.
-(i + 2)*(i + 12)**2/3
Find s, given that -3*s**2/2 + 60*s - 117/2 = 0.
1, 39
Let 4*v**2 - 112*v - 372 = 0. Calculate v.
-3, 31
Factor 21*p**4/4 - 333*p**3/2 - 48*p**2.
3*p**2*(p - 32)*(7*p + 2)/4
Factor -6*l**3 + 1797*l**2 - 134100*l - 67500.
-3*(l - 150)**2*(2*l + 1)
Suppose 42*p**5 - 52*p**4 - 104*p**3 + 80*p**2 = 0. What is p?
-10/7, 0, 2/3, 2
Solve 2*m**5/5 - 16*m**4/5 + 36*m**3/5 - 32*m**2/5 + 2*m = 0 for m.
0, 1, 5
Factor -3*z**3/5 - 10413*z**2/5 - 12047841*z/5 - 4646450679/5.
-3*(z + 1157)**3/5
Determine v so that 24*v**4 - 28*v**3 - 20*v**2 + 28*v - 4 = 0.
-1, 1/6, 1
Find h, given that h**4 - 3753*h**3 + 4695003*h**2 - 1957816251*h = 0.
0, 1251
Solve 3*q**4/5 + 63*q**3/5 + 114*q**2/5 = 0.
-19, -2, 0
What is r in -3*r**5 - 12*r**4 + 96*r**3 + 384*r**2 - 768*r - 3072 = 0?
-4, 4
What is d in -d**5 - 23*d**4 - 187*d**3 - 665*d**2 - 1000*d - 500 = 0?
-10, -5, -2, -1
Determine m so that -m**3/2 + 147*m**2/2 + 297*m/2 + 149/2 = 0.
-1, 149
Factor -j**3 + 49*j**2/3 - 208*j/3 + 64/3.
-(j - 8)**2*(3*j - 1)/3
Factor 2*i**3/13 + 12*i**2/13 - 30*i/13 - 200/13.
2*(i - 4)*(i + 5)**2/13
Factor 16*x**2 + 92*x + 60.
4*(x + 5)*(4*x + 3)
Factor p**5/3 - 265*p**4/3 + 17950*p**3/3 - 52270*p**2/3 + 51745*p/3 - 17161/3.
(p - 131)**2*(p - 1)**3/3
Factor -2*l**3/5 - 28*l**2/5 - 118*l/5 - 28.
-2*(l + 2)*(l + 5)*(l + 7)/5
Determine q so that -2*q**3 + 6*q**2 + 32*q + 24 = 0.
-2, -1, 6
Factor 5*s**3 - 35*s**2 - 5*s + 35.
5*(s - 7)*(s - 1)*(s + 1)
Let 2*t**5/5 + 2*t**4/5 - 6*t**3 - 10*t**2 + 28*t/5 + 48/5 = 0. Calculate t.
-3, -2, -1, 1, 4
Solve 2*n**5 - 82*n**4 + 78*n**3 + 82*n**2 - 80*n = 0.
-1, 0, 1, 40
Determine u, given that 189*u**3 + 2334*u**2 + 3468*u - 888 = 0.
-74/7, -2, 2/9
Determine l, given that -2*l**5 - 10*l**4 - 12*l**3 + 4*l**2 + 14*l + 6 = 0.
-3, -1, 1
Factor 5*p**3 - 2130*p**2 + 2125*p.
5*p*(p - 425)*(p - 1)
Factor 3*w**2 - 51*w/5 - 36/5.
3*(w - 4)*(5*w + 3)/5
Factor 4*s**3 - 304*s**2 + 860*s + 1168.
4*(s - 73)*(s - 4)*(s + 1)
Solve -4*l**2 - 100*l - 96 = 0.
-24, -1
Let u**3/4 + 3*u**2 + 21*u/4 + 5/2 = 0. What is u?
-10, -1
Factor -2*c**3 - 46*c**2/3 - 64*c/3 - 8.
-2*(c + 1)*(c + 6)*(3*c + 2)/3
Solve -2*k**3/17 - 6686*k**2/17 - 5584480*k/17 + 5591168/17 = 0 for k.
-1672, 1
Determine h, given that -3*h**4 - 111*h**3/5 + 78*h**2/5 + 48*h/5 = 0.
-8, -2/5, 0, 1
Solve t**5/5 - 6*t**4/5 + 4*t**3/5 + 6*t**2/5 - t = 0 for t.
-1, 0, 1, 5
Factor -2*m**5/3 - 2*m**4 + 8*m**3/3.
-2*m**3*(m - 1)*(m + 4)/3
Factor -2*v**3/5 - 88*v**2/5 - 874*v/5 + 2116/5.
-2*(v - 2)*(v + 23)**2/5
Factor i**2/7 + 13*i/7 + 40/7.
(i + 5)*(i + 8)/7
Determine f so that 5*f**5 + 210*f**4 + 2870*f**3 + 13800*f**2 + 19805*f + 8670 = 0.
-17, -6, -1
Factor -5*h**2/6 + 85*h/3 + 185/2.
-5*(h - 37)*(h + 3)/6
Find c, given that -16*c**4 + 1348*c**3 - 4160*c**2 - 4228*c + 1296 = 0.
-1, 1/4, 4, 81
Factor -f**2/5 + 6*f + 31/5.
-(f - 31)*(f + 1)/5
Factor -t**3/3 + 11*t**2 - 21*t + 31/3.
-(t - 31)*(t - 1)**2/3
Solve -h**2/3 - 2130*h - 3402675 = 0 for h.
-3195
Find r such that 25*r**4/2 + 127*r**3/2 + 105*r**2 + 58*r + 4 = 0.
-2, -1, -2/25
Factor -q**5/6 + 15*q**4 - 540*q**3 + 9720*q**2 - 87480*q + 314928.
-(q - 18)**5/6
Factor 2*k**3/3 - 36*k**2 - 8*k/3 + 144.
2*(k - 54)*(k - 2)*(k + 2)/3
Factor 4*b**3/9 - 40*b**2/9 - 44*b/9.
4*b*(b - 11)*(b + 1)/9
Factor 2*t**2/5 - 104*t