*2/11 + 69*y/11 = 0.
-23, -1, 0, 3
Factor 3*h**2 - 3840*h + 3837.
3*(h - 1279)*(h - 1)
Factor i**4/4 + 7*i**3 + 85*i**2/4 - 129*i/2 + 36.
(i - 1)**2*(i + 6)*(i + 24)/4
Let w**5/2 - 4*w**4 - 28*w**3 - 55*w**2 - 89*w/2 - 13 = 0. Calculate w.
-2, -1, 13
Factor 2*x**3 - 64*x**2/5 + 24*x/5.
2*x*(x - 6)*(5*x - 2)/5
Factor -5*q**3 - 5*q**2 + 20*q + 20.
-5*(q - 2)*(q + 1)*(q + 2)
Solve 27*t**3 - 33*t**2 - 342*t = 0.
-3, 0, 38/9
Suppose -y**2/6 + 83*y/2 = 0. What is y?
0, 249
Determine g, given that -4*g**2 - 32*g/3 - 16/3 = 0.
-2, -2/3
Let -g**3/3 - 149*g**2/9 - 97*g/9 + 49/9 = 0. What is g?
-49, -1, 1/3
Let -48*b**4/5 + 24*b**3/5 + 1197*b**2/5 - 120*b + 15 = 0. What is b?
-5, 1/4, 5
Let -324*r**5/7 - 2340*r**4/7 - 4072*r**3/7 - 2440*r**2/7 - 404*r/7 - 20/7 = 0. What is r?
-5, -1, -1/9
Factor 10*r**3/9 - 68*r**2/3 + 590*r/9 - 68/3.
2*(r - 17)*(r - 3)*(5*r - 2)/9
Factor -3*l**2 - 63*l + 930.
-3*(l - 10)*(l + 31)
Let 2*j**3 - 296*j**2/3 + 98*j/3 = 0. What is j?
0, 1/3, 49
Factor -15*v**4 + 51*v**3 - 63*v**2 + 33*v - 6.
-3*(v - 1)**3*(5*v - 2)
Factor 2*n**4/13 + 22*n**3/13 - 50*n**2/13 + 2*n.
2*n*(n - 1)**2*(n + 13)/13
Factor m**3/2 - 17*m**2 + 305*m/2 - 136.
(m - 17)*(m - 16)*(m - 1)/2
Find p such that -4*p**4 + 12*p**3 + 12*p**2 - 28*p - 24 = 0.
-1, 2, 3
What is x in -5*x**2 + 205*x - 900 = 0?
5, 36
Suppose -4*p**2/9 - 40*p/9 + 44/9 = 0. What is p?
-11, 1
What is o in -3*o**4 + 231*o**3 - 5808*o**2 + 48780*o - 43200 = 0?
1, 16, 30
Factor -u**5 + 12*u**4 - 46*u**3 + 60*u**2 - 25*u.
-u*(u - 5)**2*(u - 1)**2
Solve 25*a**5 + 85*a**4 + 31*a**3 + 3*a**2 = 0.
-3, -1/5, 0
Suppose 5*m**4 + 391*m**3 + 1217*m**2 + 1281*m + 450 = 0. Calculate m.
-75, -6/5, -1
Factor 2*x**3 - 2*x**2 - 10*x - 6.
2*(x - 3)*(x + 1)**2
Determine r so that r**4/8 - 105*r**3/8 - 107*r**2/4 = 0.
-2, 0, 107
Factor -2*r**3 - 2*r**2 + 284*r - 1120.
-2*(r - 8)*(r - 5)*(r + 14)
Factor -w**5/2 + 3*w**4 - 9*w**3/2 + 2*w**2.
-w**2*(w - 4)*(w - 1)**2/2
Factor -t**4/4 + 25*t**3/4 + 13*t**2/2.
-t**2*(t - 26)*(t + 1)/4
Factor 2*f**5/9 - 10*f**4/9 - 4*f**3/3.
2*f**3*(f - 6)*(f + 1)/9
What is s in -27*s**4 - 135*s**3 + 21*s**2 + 99*s - 30 = 0?
-5, -1, 1/3, 2/3
Factor -5*f**3 + 90*f**2 - 295*f + 210.
-5*(f - 14)*(f - 3)*(f - 1)
Suppose -1862*s**4 - 448*s**3 + 6360*s**2 - 1664*s - 2560 = 0. Calculate s.
-2, -10/19, 8/7
Suppose 2*f**5 - 312*f**4 + 310*f**3 = 0. What is f?
0, 1, 155
Factor 5*u**5 + 50*u**4 + 195*u**3 + 370*u**2 + 340*u + 120.
5*(u + 1)*(u + 2)**3*(u + 3)
Solve 3*x**5/2 + 6225*x**4/2 + 1609935*x**3 - 4848495*x**2 + 9709455*x/2 - 3238563/2 = 0 for x.
-1039, 1
Find l, given that -2*l**4/9 - 38*l**3/3 - 424*l**2/9 = 0.
-53, -4, 0
Suppose 121*l**2/9 - 44*l/9 + 4/9 = 0. Calculate l.
2/11
Factor c**4 - 1279*c**3 + 2555*c**2 - 1277*c.
c*(c - 1277)*(c - 1)**2
Factor -5*v**4 - 420*v**3 - 8820*v**2.
-5*v**2*(v + 42)**2
Factor -i**5/5 + 3*i**3/5 + 2*i**2/5.
-i**2*(i - 2)*(i + 1)**2/5
Factor 2*y**2/9 + 4*y/9 + 2/9.
2*(y + 1)**2/9
Suppose 2*d**3/3 + 2*d**2/3 - 8*d/3 - 8/3 = 0. What is d?
-2, -1, 2
Factor -5*m**3 + 50*m**2 - 145*m + 100.
-5*(m - 5)*(m - 4)*(m - 1)
Let 5*n**5 + 170*n**4 - 355*n**3 + 180*n**2 = 0. Calculate n.
-36, 0, 1
Solve -8*y**3/7 + 18*y**2/7 + 60*y/7 - 16/7 = 0.
-2, 1/4, 4
Determine i so that -5*i**5 + 35*i**4 + 75*i**3 - 275*i**2 - 70*i + 240 = 0.
-3, -1, 1, 2, 8
Find b such that -b**3 + 4*b**2 + 171*b - 1134 = 0.
-14, 9
Suppose 2*f**4/7 + 16*f**3/7 - 60*f**2/7 + 64*f/7 - 22/7 = 0. What is f?
-11, 1
Suppose -3*o**3 + 33*o**2 + 291*o + 255 = 0. What is o?
-5, -1, 17
Factor -v**5/6 + 35*v**4/3 - 1585*v**3/6 + 1740*v**2 + 4320*v + 2304.
-(v - 24)**3*(v + 1)**2/6
Solve 2*l**4/7 - 78*l**3/7 + 690*l**2/7 - 1154*l/7 + 540/7 = 0.
1, 10, 27
Factor o**4/7 - 9*o**2/7 + 4*o/7 + 12/7.
(o - 2)**2*(o + 1)*(o + 3)/7
Suppose -3*y**3/2 - 51*y**2/2 - 144*y - 270 = 0. What is y?
-6, -5
Solve 20*h**4 - 32*h**3 - 236*h**2 + 152*h + 96 = 0 for h.
-3, -2/5, 1, 4
Let -3*o**4/4 + 33*o**3/4 + 39*o**2/4 - 33*o/4 - 9 = 0. What is o?
-1, 1, 12
Let 5*g**3 - 135*g**2/4 - 195*g/4 - 10 = 0. Calculate g.
-1, -1/4, 8
Factor -4*s**4 - 216*s**3 + 464*s**2 + 864*s - 1792.
-4*(s - 2)**2*(s + 2)*(s + 56)
Factor -3*f**3/5 + 471*f**2/5 - 1386*f/5.
-3*f*(f - 154)*(f - 3)/5
Determine s so that 230*s**3 + 925*s**2 + 710*s + 15 = 0.
-3, -1, -1/46
Factor -h**2/4 - 3*h/4 + 1.
-(h - 1)*(h + 4)/4
Factor -3*f**5 + 6*f**4 + 9*f**3 - 12*f**2 - 12*f.
-3*f*(f - 2)**2*(f + 1)**2
Suppose 4*n**3/5 - 218*n**2/5 - 334*n/5 - 112/5 = 0. Calculate n.
-1, -1/2, 56
Find s, given that -2*s**3 - 109*s**2/2 + 205*s/2 + 29 = 0.
-29, -1/4, 2
What is i in -i**2/3 + 227*i/3 - 224 = 0?
3, 224
Solve -2*d**3/9 + 230*d**2/9 - 2242*d/3 + 722 = 0.
1, 57
Solve w**5 - 6*w**4 - 274*w**3 + 1136*w**2 + 19305*w - 40898 = 0.
-11, 2, 13
Suppose 656*n**3 - 5244*n**2 + 10464*n + 64 = 0. Calculate n.
-1/164, 4
Find x, given that 16*x**4 + 36*x**3 - 312*x**2 + 304*x + 96 = 0.
-6, -1/4, 2
Find r such that -r**2 + 33*r = 0.
0, 33
Factor 3*c**2/7 + 228*c/7 - 960/7.
3*(c - 4)*(c + 80)/7
What is o in -2*o**3/3 - 28*o**2 + 266*o/3 - 60 = 0?
-45, 1, 2
Let 2*d**5 - 565*d**4 - 2572*d**3 - 3157*d**2 - 4*d + 1148 = 0. Calculate d.
-2, -1, 1/2, 287
What is h in -2*h**2/7 + 100*h/7 - 176 = 0?
22, 28
Suppose 9*u**3 + 12*u**2 - 177*u - 60 = 0. What is u?
-5, -1/3, 4
Let -2*v**2/15 - 112*v/15 - 72/5 = 0. What is v?
-54, -2
Factor -4*a**4 + 8*a**3 + 4*a**2 - 8*a.
-4*a*(a - 2)*(a - 1)*(a + 1)
Factor -2*j**2 - 548*j - 37538.
-2*(j + 137)**2
Let q**5 - 11*q**3 - 6*q**2 + 28*q + 24 = 0. What is q?
-2, -1, 2, 3
Factor -a**4/2 + 2*a**3 + 5*a**2/2.
-a**2*(a - 5)*(a + 1)/2
Factor 5*f**2 + 3055*f + 3050.
5*(f + 1)*(f + 610)
Solve 3*f**3 + 10077*f**2 + 8467197*f + 8457123 = 0.
-1679, -1
What is h in 3*h**5 + 21*h**4 + 36*h**3 - 12*h**2 - 48*h = 0?
-4, -2, 0, 1
Factor 3*v**3 - 21*v**2 - 54*v.
3*v*(v - 9)*(v + 2)
Solve -2*q**5/3 + 14*q**3/3 - 4*q**2/3 - 8*q + 16/3 = 0.
-2, 1, 2
Find f, given that 2*f**3/3 + 10*f**2/3 - 2*f/3 - 10/3 = 0.
-5, -1, 1
Factor 3*r**4 + 747*r**3 + 1470*r**2 - 2988*r - 5928.
3*(r - 2)*(r + 2)**2*(r + 247)
What is w in 2*w**2/9 - 170*w/9 - 172/9 = 0?
-1, 86
Determine g, given that g**3/6 + 24*g**2 - 98*g + 296/3 = 0.
-148, 2
Factor -3*x**2/5 + 1146*x/5 + 2304/5.
-3*(x - 384)*(x + 2)/5
Let 5*b**3 + 910*b**2 + 42300*b + 81000 = 0. Calculate b.
-90, -2
Factor 9*m**2/4 - 21*m/4 + 3.
3*(m - 1)*(3*m - 4)/4
What is g in -5*g**5 - 65*g**4 + 95*g**3 + 365*g**2 + 210*g = 0?
-14, -1, 0, 3
Solve -9*o**3 + 51*o**2 + 24*o - 36 = 0 for o.
-1, 2/3, 6
What is k in k**2 + 82*k + 1681 = 0?
-41
Determine p, given that -5*p**3 + 485*p**2 + 5*p - 485 = 0.
-1, 1, 97
Factor -x**5/2 - 57*x**4 - 1680*x**3 - 3136*x**2.
-x**2*(x + 2)*(x + 56)**2/2
Find i, given that -2*i**4/5 + 64*i**3/5 = 0.
0, 32
Factor -g**2/10 - 149*g/2 + 1498/5.
-(g - 4)*(g + 749)/10
Factor r**2/2 - 3*r/2 + 1.
(r - 2)*(r - 1)/2
Factor 5*f**3 + 290*f**2 + 4205*f.
5*f*(f + 29)**2
Suppose -4*n**3 - 160*n**2 - 1148*n - 992 = 0. Calculate n.
-31, -8, -1
Factor 4*j**3 - 132*j**2 - 4*j + 132.
4*(j - 33)*(j - 1)*(j + 1)
Determine j, given that -j**2/5 - 298*j/5 - 22201/5 = 0.
-149
Suppose -a**5/6 + 115*a**4/6 - 317*a**3/2 - 343*a**2/6 + 1316*a/3 + 318 = 0. What is a?
-1, 2, 9, 106
Factor 5*t**3/3 - 145*t**2 - 5*t/3 + 145.
5*(t - 87)*(t - 1)*(t + 1)/3
Let 5*v**3 - 75*v**2 + 280*v - 300 = 0. What is v?
2, 3, 10
Let d**3/4 - 117*d**2/4 + 114*d - 113 = 0. Calculate d.
2, 113
Determine r, given that -4*r**3/5 - 972*r**2/5 - 78732*r/5 - 2125764/5 = 0.
-81
Factor 136*w**2 - 1086*w - 16.
2*(w - 8)*(68*w + 1)
Factor -49*r**2/3 + 1456*r - 32448.
-(7*r - 312)**2/3
Find v, given that -6*v**2 + 19*v - 3 = 0.
1/6, 3
Suppose -p**2/4 + 17*p/4 + 19/2 = 0. Calculate p.
-2, 19
Factor -22*o**2/9 + 236*o/3 - 128/9.
-2*(o - 32)*(11*o - 2)/9
What is z in -2*z**2 + 3468*z + 6944 = 0?
-2, 1736
Factor -5*i**5 + 60*i**4 - 230*i**3 + 300*i**2 - 125*i.
-5*i*(i - 5)**2*(i - 1)**2
Factor -2*x**2/3 - 3224*x - 3897816.
-2*(x + 2418)**2/3
Factor -2*k**2/3 - 38*k/3 + 28.
-2*(k - 2)*(k + 21)/3
Factor 2*u**4 - 126*u**3 + 1296*u**2 - 3736*u + 3264.
2*(u - 51)*(u - 8)*(u - 2)**2
Factor 4*h**2/5 - 386*h/5 - 194/5.
2*(h - 97)*(2*h + 1)/5
Find t, given that -t**5/2 + 9*t**4 - 47*t**3/2 + 15*t**2 = 0.
0, 1, 2, 15
Suppose -f**2 - 5*f + 24 = 0. Calculate f.
-8, 3
Solve 4*x**2 + 2