 675/8 = 0.
-15, -5, 3
Factor -4*v**4 + 128*v**3 - 1184*v**2 + 1792*v + 9408.
-4*(v - 14)**2*(v - 6)*(v + 2)
Factor 5*y**5 + 30*y**4 - 125*y**3 + 90*y**2.
5*y**2*(y - 2)*(y - 1)*(y + 9)
Find r such that -34*r**2/19 + 26*r/19 + 8/19 = 0.
-4/17, 1
Let -l**4/3 + 2*l**3/3 + 4*l**2 - 8*l/3 - 32/3 = 0. What is l?
-2, 2, 4
Find u such that 5*u**2 + 370*u + 6845 = 0.
-37
Determine s so that 2*s**4/9 - 8*s**3/3 - 28*s**2/9 + 8*s/3 + 26/9 = 0.
-1, 1, 13
Suppose 14*n**3/11 + 32*n**2/11 + 2*n + 4/11 = 0. What is n?
-1, -2/7
Factor y**2 - 34*y + 289.
(y - 17)**2
Determine o, given that o**3 - 280*o**2 + 556*o = 0.
0, 2, 278
Let 4*y**2/7 + 32*y/7 + 48/7 = 0. What is y?
-6, -2
Find c such that -5*c**3 + 28*c**2/3 + 4*c/3 = 0.
-2/15, 0, 2
Find f, given that f**4/2 - 12*f**3 - 205*f**2/2 - 186*f = 0.
-4, -3, 0, 31
What is b in -b**3/3 - 6*b**2 + b/3 + 6 = 0?
-18, -1, 1
Let g**5 + 5*g**4 + 10*g**3 + 10*g**2 + 5*g + 1 = 0. What is g?
-1
Solve 8*v**2/3 + 74*v/3 + 6 = 0.
-9, -1/4
Find w such that w**2/3 + 62*w/3 - 136 = 0.
-68, 6
Find y, given that -2*y**2 - 57*y/2 - 7 = 0.
-14, -1/4
Find o, given that -75*o**5 + 2085*o**4 - 11022*o**3 - 64950*o**2 + 225225*o - 165375 = 0.
-5, 7/5, 15
Suppose 5*u**3/3 - 1065*u**2 + 169600*u + 512000/3 = 0. Calculate u.
-1, 320
Factor -2*k**3/11 + 14*k**2/11 - 16*k/11 - 32/11.
-2*(k - 4)**2*(k + 1)/11
Factor 2*t**3/7 - 372*t**2/7 + 17298*t/7.
2*t*(t - 93)**2/7
Factor f**4/8 - 9*f**3/4 - f**2/8 + 9*f/4.
f*(f - 18)*(f - 1)*(f + 1)/8
Factor 2*y**3 - 444*y**2 + 438*y + 884.
2*(y - 221)*(y - 2)*(y + 1)
Factor 3*i**3 - 24*i**2 + 48*i.
3*i*(i - 4)**2
Factor 2*w**4 + 173*w**3 + 507*w**2 + 503*w + 167.
(w + 1)**3*(2*w + 167)
Solve -4*j**2 - 24672*j - 38044224 = 0.
-3084
Determine m so that 3*m**4/5 + 16*m**3/5 + 12*m**2/5 - 16*m/5 = 0.
-4, -2, 0, 2/3
Suppose 2*q**3/3 + 46*q**2 + 770*q - 2450/3 = 0. What is q?
-35, 1
Factor 75*b**2/4 + 195*b + 507.
3*(5*b + 26)**2/4
Factor -5*y**4 - 15*y**3 + 225*y**2 - 405*y.
-5*y*(y - 3)**2*(y + 9)
Factor -4*a**5 + 936*a**4 - 74820*a**3 + 2179984*a**2 - 11159232*a + 15803136.
-4*(a - 76)**3*(a - 3)**2
Factor -3*f**3 + 75*f**2 + 432*f + 540.
-3*(f - 30)*(f + 2)*(f + 3)
Factor -2*x**2/3 + 208*x/3 - 206/3.
-2*(x - 103)*(x - 1)/3
Factor -8*r**3 + 44*r**2 - 72*r + 36.
-4*(r - 3)*(r - 1)*(2*r - 3)
Factor -h**2 - 36*h + 37.
-(h - 1)*(h + 37)
Factor 2*l**4/23 + 16*l**3/23 + 18*l**2/23 - 36*l/23.
2*l*(l - 1)*(l + 3)*(l + 6)/23
Solve -12*n**4 - 212*n**3 - 124*n**2 + 212*n + 136 = 0.
-17, -1, -2/3, 1
Factor 2*n**3/15 + 8*n**2/5 - 56*n/15.
2*n*(n - 2)*(n + 14)/15
Solve -2*b**3 + 964*b**2 - 3830*b + 2868 = 0.
1, 3, 478
Find a, given that -3*a**4 - 147*a**3 - 906*a**2 - 960*a + 2016 = 0.
-42, -4, 1
Suppose -14*x**5/17 + 116*x**4/17 + 94*x**3/17 - 36*x**2/17 = 0. What is x?
-1, 0, 2/7, 9
Factor 6*q**2/7 + 84*q - 594/7.
6*(q - 1)*(q + 99)/7
Determine z, given that z**4 + 31*z**3 + 29*z**2 - 31*z - 30 = 0.
-30, -1, 1
Find n, given that 6*n**5/5 - 16*n**4/5 - 2*n**3 + 36*n**2/5 + 8*n/5 - 16/5 = 0.
-1, 2/3, 2
Factor x**3/3 - 11*x**2/3 - 4*x.
x*(x - 12)*(x + 1)/3
Let 3*y**4 - 114*y**3/5 - 63*y**2/5 + 114*y/5 + 48/5 = 0. What is y?
-1, -2/5, 1, 8
Factor -k**2/2 + 289*k - 83521/2.
-(k - 289)**2/2
Find j such that -j**2 - j + 20 = 0.
-5, 4
Solve -3*k**5 + 9*k**4 + 45*k**3 + 51*k**2 + 18*k = 0.
-1, 0, 6
Factor 5*i**3 - 1060*i**2 + 57225*i - 110250.
5*(i - 105)**2*(i - 2)
Suppose -n**3 + 374*n**2 - 35340*n + 69192 = 0. Calculate n.
2, 186
Factor q**5/2 + q**4 - 2*q**3 - 4*q**2.
q**2*(q - 2)*(q + 2)**2/2
Determine l, given that l**4/4 + l**3 - 43*l**2/4 - 47*l/2 - 12 = 0.
-8, -1, 6
Determine l so that -3*l**5/5 + 3*l**4 - 24*l**3/5 + 12*l**2/5 = 0.
0, 1, 2
Determine a so that 7*a**2 - 359*a + 102 = 0.
2/7, 51
Factor -5*k**2/2 + 3785*k - 2865245/2.
-5*(k - 757)**2/2
Solve z**4/9 + z**3/9 - 16*z**2/9 + 20*z/9 = 0 for z.
-5, 0, 2
Factor -3*n**4 + 6*n**2 - 3.
-3*(n - 1)**2*(n + 1)**2
Factor 24*a**2 + 68*a + 44.
4*(a + 1)*(6*a + 11)
Solve 57*q**4/2 - 51*q**3/2 - 63*q**2/2 + 51*q/2 + 3 = 0.
-1, -2/19, 1
Determine r so that -r**4/3 + 2*r**3/3 + 5*r**2/3 - 2*r = 0.
-2, 0, 1, 3
Find g such that -25*g**2/3 - 380*g/3 - 425 = 0.
-51/5, -5
Find k such that -20*k**5/3 - 52*k**4 + 232*k**3/3 + 40*k**2 - 212*k/3 + 12 = 0.
-9, -1, 1/5, 1
Let -266*u**2/15 - 286*u/15 - 4 = 0. What is u?
-15/19, -2/7
Find w, given that -895*w**2 - 26860*w - 300 = 0.
-30, -2/179
Let -q**3/10 + q**2/5 + q/2 - 3/5 = 0. Calculate q.
-2, 1, 3
Let -5*a**3 - 70*a**2 + 1555*a - 5400 = 0. What is a?
-27, 5, 8
What is u in u**2/4 + 57*u/2 + 113/4 = 0?
-113, -1
Determine n, given that n**2 - 226*n = 0.
0, 226
Find g, given that 2*g**5 - 8*g**4 - 462*g**3 - 828*g**2 + 1296*g = 0.
-12, -3, 0, 1, 18
Let -3*o**5/4 - 9*o**4/4 + 3*o**3 + 9*o**2 = 0. What is o?
-3, -2, 0, 2
Solve 5*v**5 + 45*v**4 - 5*v**3 - 1025*v**2 - 3000*v - 2500 = 0 for v.
-5, -2, 5
Find o, given that 2*o**4 + 2760*o**3 + 1428300*o**2 + 328509000*o + 28333901250 = 0.
-345
Factor -5*z**2 + 100*z - 495.
-5*(z - 11)*(z - 9)
Suppose 3*n**2 + 27*n - 486 = 0. What is n?
-18, 9
Find y such that 5*y**4 + 40*y**3 + 105*y**2 + 90*y = 0.
-3, -2, 0
Factor 2*v**4/17 - 182*v**3/17 + 3854*v**2/17 + 13254*v/17.
2*v*(v - 47)**2*(v + 3)/17
Solve 10*t**4 - 1174*t**3 - 3112*t**2 - 968*t + 960 = 0.
-2, -1, 2/5, 120
Factor -21321125*b**2 + 41300*b - 20.
-5*(2065*b - 2)**2
Find i such that 8450*i**2 - 520*i + 8 = 0.
2/65
Determine c so that 158*c**3 - 664*c**2 + 760*c - 128 = 0.
16/79, 2
Factor -z**4/4 + 5*z**3/2 - 33*z**2/4 + 11*z - 5.
-(z - 5)*(z - 2)**2*(z - 1)/4
Factor 2*q**4 - 6*q**3 - 56*q**2.
2*q**2*(q - 7)*(q + 4)
Let k**2 - 58*k - 528 = 0. Calculate k.
-8, 66
Factor -i**5 - i**4 + 10*i**3 + 4*i**2 - 24*i.
-i*(i - 2)**2*(i + 2)*(i + 3)
Factor -s**2/5 + 3*s + 646/5.
-(s - 34)*(s + 19)/5
Factor -5*r**3 - 15*r**2 + 65*r + 75.
-5*(r - 3)*(r + 1)*(r + 5)
What is u in 2*u**2/15 - 38*u/5 + 44/3 = 0?
2, 55
Suppose -20*c**4 - 12*c**3 + 128*c**2 - 48*c = 0. What is c?
-3, 0, 2/5, 2
Find q such that -2*q**3/7 - 20*q**2/7 + 48*q/7 = 0.
-12, 0, 2
Solve 28*r**5 - 3*r**4 - 92*r**3 + 57*r**2 + 10*r = 0.
-2, -1/7, 0, 1, 5/4
Factor 2*v**3 + 84*v**2 + 82*v.
2*v*(v + 1)*(v + 41)
What is x in -2*x**4 + 80*x**3 + 2*x**2 - 80*x = 0?
-1, 0, 1, 40
Solve 2*k**3 + 14*k**2 - 10*k - 150 = 0 for k.
-5, 3
Factor -20*z**3 - 145*z**2 - 180*z + 225.
-5*(z + 3)*(z + 5)*(4*z - 3)
Let -2*g**2/7 + 32*g/7 + 72/7 = 0. Calculate g.
-2, 18
Factor 9*w**3/2 + 6*w**2 + 3*w/2.
3*w*(w + 1)*(3*w + 1)/2
Let -2*n**4/9 - 8*n**3/9 + 32*n/9 + 32/9 = 0. Calculate n.
-2, 2
Let 8*m**3/9 - 29*m**2/9 + 4*m/3 + 1 = 0. What is m?
-3/8, 1, 3
Determine a so that 4*a**3 - 28*a**2 + 60*a - 36 = 0.
1, 3
Suppose 2*b**4/9 + 10*b**3/3 - 2*b**2/9 - 10*b/3 = 0. Calculate b.
-15, -1, 0, 1
Factor 239805*l**4 - 332880*l**3 + 124280*l**2 - 6080*l + 80.
5*(3*l - 2)**2*(73*l - 2)**2
Determine w so that w**4/2 + w**3/2 - 5*w**2 - 2*w + 12 = 0.
-3, -2, 2
Solve 2*r**4/7 - 10*r**3/7 - 8*r**2/7 + 40*r/7 = 0.
-2, 0, 2, 5
Factor -3*d**3 - 684*d**2 - 38988*d.
-3*d*(d + 114)**2
Suppose -13*n**5/3 + 5*n**4 + 11*n**3/3 - 5*n**2 + 2*n/3 = 0. Calculate n.
-1, 0, 2/13, 1
Factor -3*v**2/7 + 156*v/7 + 855/7.
-3*(v - 57)*(v + 5)/7
Factor 2*b**3 + 62*b**2 - 4522*b + 49818.
2*(b - 19)**2*(b + 69)
Factor 2*t**4 - 16*t**3 + 42*t**2 - 44*t + 16.
2*(t - 4)*(t - 2)*(t - 1)**2
Factor y**5 - 132*y**4 + 3780*y**3 + 39200*y**2.
y**2*(y - 70)**2*(y + 8)
Suppose t**2/3 - 4*t/3 = 0. Calculate t.
0, 4
Factor 10*d**3 + 52*d**2 - 26*d - 180.
2*(d + 2)*(d + 5)*(5*d - 9)
Determine i so that 5*i**3 - 225*i**2 + 1855*i - 3675 = 0.
3, 7, 35
Factor a**3/5 - 3*a**2 - 37*a/5 + 51/5.
(a - 17)*(a - 1)*(a + 3)/5
Factor -5*h**4 - 40*h**3 + 55*h**2 + 90*h.
-5*h*(h - 2)*(h + 1)*(h + 9)
Factor 5*a**2 - 75*a - 2970.
5*(a - 33)*(a + 18)
Suppose -2*u**4/17 - 14*u**3/17 + 146*u**2/17 + 326*u/17 + 168/17 = 0. Calculate u.
-12, -1, 7
Let -5*s**4/4 - 635*s**3 - 162555*s**2/2 - 160655*s - 320045/4 = 0. What is s?
-253, -1
What is q in -2*q**4/5 + 24*q**3/5 - 62*q**2/5 - 24*q/5 + 64/5 = 0?
-1, 1, 4, 8
Suppose -2*j**4/5 + 192*j**3/5 - 3994*j**2/5 - 5916*j - 41616/5 = 0. What is j?
-4, -2, 51
Let 2*n**2/11 - 6*n/11 = 0. What is n?
0, 3
Factor -2*w**2/9 - 58*w/9 + 20/3.
-2*(w - 1)*(w + 30)/9
Factor -90*q**3 - 135*q**2 - 20*q.
-5*q*(3*q + 4)*(6*q + 1)
Factor 2