+ 4)*(b + 648)
Find n such that n**2/5 + 151*n/5 = 0.
-151, 0
Determine p so that -25*p**4/4 + 585*p**3/4 + 1185*p**2/2 + 415*p - 270 = 0.
-2, 2/5, 27
Suppose -5*o**4 - 60*o**3 + 5*o**2 + 60*o = 0. What is o?
-12, -1, 0, 1
Suppose q**2 - 43*q = 0. What is q?
0, 43
Let 4*h**4 - 248*h**3 + 4740*h**2 - 24752*h - 29744 = 0. What is h?
-1, 11, 26
Find t such that 3*t**3 + 21*t**2 + 18*t = 0.
-6, -1, 0
Factor k**4/3 + k**3/3 - 3*k**2 + 11*k/3 - 4/3.
(k - 1)**3*(k + 4)/3
Determine s so that -2*s**2/9 - 52*s - 466/9 = 0.
-233, -1
Factor 9*l**4/2 - 15*l**3/2 - 3*l**2.
3*l**2*(l - 2)*(3*l + 1)/2
Determine z so that 5*z**4/6 + 9*z**3 + 82*z**2/3 + 15*z - 25/6 = 0.
-5, -1, 1/5
Let -5*w**4 - 230*w**3 - 3780*w**2 - 25480*w - 54880 = 0. Calculate w.
-14, -4
Solve -35*t**3 - 165*t**2 - 90*t + 40 = 0 for t.
-4, -1, 2/7
Let -2*z**3/11 + 2*z**2 + 464*z/11 + 40 = 0. What is z?
-10, -1, 22
Solve 4*i**5 - 68*i**4 + 108*i**3 + 196*i**2 - 224*i - 240 = 0 for i.
-1, 2, 15
Let 4*l**2/3 + 256*l/3 - 560 = 0. What is l?
-70, 6
Suppose -16*c**3 + 36*c**2 - 24*c + 4 = 0. What is c?
1/4, 1
Solve -h**3/6 - 2*h**2/3 + 5*h/2 + 3 = 0 for h.
-6, -1, 3
Factor 6*t**3 - 63*t**2 - 2994*t + 1512.
3*(t - 28)*(t + 18)*(2*t - 1)
Determine t so that 20*t**2/7 + 248*t/7 + 96/7 = 0.
-12, -2/5
Suppose -2*q**2 - 330*q + 332 = 0. What is q?
-166, 1
Let 2*b**3/17 + 274*b**2/17 = 0. Calculate b.
-137, 0
Determine g so that 2*g**4/13 + 24*g**3/13 + 18*g**2/13 - 44*g/13 = 0.
-11, -2, 0, 1
Factor -8*b**2 + 86*b + 22.
-2*(b - 11)*(4*b + 1)
Factor -2*s**3/15 - 8*s**2/3.
-2*s**2*(s + 20)/15
Find a such that 432*a**2 - 276*a + 40 = 0.
2/9, 5/12
Suppose -4*u**2/5 + 68*u - 3976/5 = 0. What is u?
14, 71
Factor -5*z**4 + 30*z**3 - 55*z**2 + 30*z.
-5*z*(z - 3)*(z - 2)*(z - 1)
Factor 3*d**2 - 18*d - 81.
3*(d - 9)*(d + 3)
Factor -10*j**5 - 24*j**4 - 12*j**3 + 8*j**2 + 6*j.
-2*j*(j + 1)**3*(5*j - 3)
Factor 4*t**5 + 296*t**4 + 1296*t**3 - 5704*t**2 + 6316*t - 2208.
4*(t - 1)**3*(t + 8)*(t + 69)
Let i**5/4 - i**4 + i**3 + i**2/2 - 5*i/4 + 1/2 = 0. Calculate i.
-1, 1, 2
Suppose -m**5/6 + m**4/3 + 5*m**3/6 - m**2 = 0. What is m?
-2, 0, 1, 3
Factor -4*q**4 + 56*q**3 + 268*q**2 + 352*q + 144.
-4*(q - 18)*(q + 1)**2*(q + 2)
Suppose 4*f**5 - 32*f**4 - 228*f**3 - 400*f**2 - 208*f = 0. What is f?
-2, -1, 0, 13
Factor 5*v**2 - 111*v/2 + 11/2.
(v - 11)*(10*v - 1)/2
Let -6*l**5/11 - 30*l**4/11 + 42*l**3/11 + 174*l**2/11 - 180*l/11 = 0. Calculate l.
-5, -3, 0, 1, 2
Let 5*f**3 - 5*f**2 - 80*f + 80 = 0. Calculate f.
-4, 1, 4
Determine p, given that 5*p**3 + 660*p**2 + 23040*p + 81920 = 0.
-64, -4
Factor -2*v**2 - 72*v - 198.
-2*(v + 3)*(v + 33)
Factor 24*d**2/11 - 94*d/11 + 92/11.
2*(d - 2)*(12*d - 23)/11
Factor 3*g**4/8 - 27*g**3/2 - 3135*g**2/8.
3*g**2*(g - 55)*(g + 19)/8
Factor -5*u**3 + 17*u**2/3 + 28*u/3 - 4/3.
-(u - 2)*(u + 1)*(15*u - 2)/3
Factor -3*p**3/7 - 3*p**2/7 + 27*p/7 + 27/7.
-3*(p - 3)*(p + 1)*(p + 3)/7
Factor -w**2/6 + 44*w/3 + 30.
-(w - 90)*(w + 2)/6
Factor 7*f**4 - 740*f**3 + 20172*f**2 - 32032*f - 10816.
(f - 52)**2*(f - 2)*(7*f + 2)
Suppose 4*u**5 - 1364*u**4 + 112792*u**3 + 599944*u**2 - 112796*u - 598580 = 0. What is u?
-5, -1, 1, 173
Determine h so that 5*h**5 - 193*h**4 + 2396*h**3/5 - 2032*h**2/5 + 576*h/5 = 0.
0, 4/5, 1, 36
Let 6*o**5/11 - 138*o**3/11 - 180*o**2/11 + 456*o/11 + 720/11 = 0. Calculate o.
-3, -2, 2, 5
Factor 2*n**5 - 8*n**4 - 38*n**3 - 28*n**2.
2*n**2*(n - 7)*(n + 1)*(n + 2)
Factor -g**3 + 13*g**2 + 177*g - 189.
-(g - 21)*(g - 1)*(g + 9)
Factor -8*u**3 - 22*u**2 + 38*u - 8.
-2*(u - 1)*(u + 4)*(4*u - 1)
Solve -4*c**4 - 1328*c**3 - 108888*c**2 + 221776*c - 111556 = 0 for c.
-167, 1
Factor -a**5 + 18*a**4 - 117*a**3 + 320*a**2 - 300*a.
-a*(a - 6)*(a - 5)**2*(a - 2)
Factor 5*t**3 - 100*t**2 - 115*t + 210.
5*(t - 21)*(t - 1)*(t + 2)
What is w in 70*w**5 - 848*w**4 + 18*w**3 + 944*w**2 - 88*w - 96 = 0?
-1, -2/7, 2/5, 1, 12
Find i, given that 2*i**5 + 34*i**4/5 + 12*i**3/5 - 8*i**2 - 16*i/5 = 0.
-2, -2/5, 0, 1
Factor -3*i**5 + 21*i**4 - 33*i**3 + 15*i**2.
-3*i**2*(i - 5)*(i - 1)**2
Factor -4*w**3 - 28*w**2 + 1568*w - 1536.
-4*(w - 16)*(w - 1)*(w + 24)
Factor -3*y**4 - 81*y**3 - 216*y**2.
-3*y**2*(y + 3)*(y + 24)
Factor 8*j**5 + 30*j**4 + 42*j**3 + 26*j**2 + 6*j.
2*j*(j + 1)**3*(4*j + 3)
Let 33*m**5/2 - 39*m**4/2 - 27*m**3/2 + 39*m**2/2 - 3*m = 0. Calculate m.
-1, 0, 2/11, 1
Let 2*y**3 + 12*y**2 - 64 = 0. What is y?
-4, 2
Factor -5*y**2 + 6990*y.
-5*y*(y - 1398)
Factor -b**2 - 14*b.
-b*(b + 14)
Suppose -i**4/9 + 8*i**3/9 - 17*i**2/9 - 2*i/9 + 8/3 = 0. What is i?
-1, 2, 3, 4
Find k such that 15*k**5 + 6*k**4 = 0.
-2/5, 0
Factor -x**4/6 + 4*x**3/3 - 11*x**2/3 + 4*x - 3/2.
-(x - 3)**2*(x - 1)**2/6
Solve 2*p**4 + 28*p**3 - 40*p**2 - 156*p - 90 = 0 for p.
-15, -1, 3
Factor -5*d**3 - 29335*d**2.
-5*d**2*(d + 5867)
Let 43808*q**4/5 - 12432*q**3/5 - 1486*q**2/5 + 336*q/5 + 32/5 = 0. Calculate q.
-4/37, 1/4
Determine a, given that -4*a**3 - 200*a**2 - 3248*a - 17248 = 0.
-22, -14
Let 4*w**4 - 64*w**3 + 212*w**2 - 248*w + 96 = 0. What is w?
1, 2, 12
What is l in -3*l**5 + 63*l**4 - 159*l**3 - 63*l**2 + 162*l = 0?
-1, 0, 1, 3, 18
Factor -x**2/7 + 2*x/7 + 8/7.
-(x - 4)*(x + 2)/7
Suppose 3*n**3/4 - 9*n**2/4 - 15*n/2 = 0. Calculate n.
-2, 0, 5
Factor s**2 - 20*s + 51.
(s - 17)*(s - 3)
Solve -2*u**2 - 30*u - 52 = 0.
-13, -2
Factor -4*h**3/3 + 20*h**2 - 56*h/3.
-4*h*(h - 14)*(h - 1)/3
Find c such that -2*c**5 - 28*c**4 + 36*c**3 + 88*c**2 - 34*c - 60 = 0.
-15, -1, 1, 2
Determine m, given that 7*m**2/4 - 57*m/4 = 0.
0, 57/7
Let 12*b**4 + 1552*b**3/5 + 2732*b**2/5 + 1048*b/5 - 192/5 = 0. What is b?
-24, -1, 2/15
Determine t so that 2*t**2/11 + 928*t/11 + 107648/11 = 0.
-232
Factor -f**3 - 21*f**2 - 80*f.
-f*(f + 5)*(f + 16)
Factor 4*x**2 - 768*x + 36864.
4*(x - 96)**2
Solve 2*p**3/11 + 28*p**2/11 + 102*p/11 + 108/11 = 0.
-9, -3, -2
Determine y, given that 4*y**4/7 + 3032*y**3/7 + 571520*y**2/7 - 1155200*y/7 = 0.
-380, 0, 2
Let 3*g**5 - 24*g**4 + 48*g**3 + 54*g**2 - 243*g + 162 = 0. Calculate g.
-2, 1, 3
Factor -5*q**5 + 95*q**4 - 630*q**3 + 1620*q**2 - 1080*q.
-5*q*(q - 6)**3*(q - 1)
What is a in -4*a**3 - 520*a**2 - 16368*a + 34848 = 0?
-66, 2
Solve 4*q**4/11 + 17*q**3/11 + 27*q**2/11 + 19*q/11 + 5/11 = 0.
-5/4, -1
Let l**2/4 + 13*l/2 + 22 = 0. Calculate l.
-22, -4
Let -3*q**5/2 - 5*q**4/2 + 257*q**3/6 - 167*q**2/2 + 176*q/3 - 14 = 0. What is q?
-7, 2/3, 1, 3
What is n in 16*n**4/7 - 172*n**3 + 30300*n**2/7 - 257500*n/7 + 62500/7 = 0?
1/4, 25
Factor -3*n**3 - 114*n**2 + 1440*n.
-3*n*(n - 10)*(n + 48)
Find s such that 3*s**2 - 24*s + 21 = 0.
1, 7
Solve -196*w**5 - 2268*w**4 - 2620*w**3 + 27852*w**2 + 16352*w + 2352 = 0 for w.
-7, -2/7, 3
Factor 3*y**4/7 - 18*y**3/7 + 15*y**2/7 + 72*y/7 - 108/7.
3*(y - 3)**2*(y - 2)*(y + 2)/7
What is z in -4*z**5 + 75*z**4 + 619*z**3 + 150*z**2 = 0?
-6, -1/4, 0, 25
Factor 9*m**3 - 4534*m**2 + 570528*m + 127008.
(m - 252)**2*(9*m + 2)
Factor z**4 - 324*z**3 + 966*z**2 - 964*z + 321.
(z - 321)*(z - 1)**3
Factor -z**2 + 53*z + 54.
-(z - 54)*(z + 1)
Suppose 5*l**4 - 3100*l**3 + 9270*l**2 - 9260*l + 3085 = 0. What is l?
1, 617
Factor 2*c**4/9 - 2*c**3/3 - 10*c**2/3 - 34*c/9 - 4/3.
2*(c - 6)*(c + 1)**3/9
Determine q so that 2*q**4/11 + 32*q**3/11 + 184*q**2/11 + 448*q/11 + 384/11 = 0.
-6, -4, -2
Let d**3 + 26*d**2 + 92*d + 88 = 0. What is d?
-22, -2
Factor 5*o**3 + 80*o**2 - 5*o - 80.
5*(o - 1)*(o + 1)*(o + 16)
Factor 3*l**2/5 - 639*l/5.
3*l*(l - 213)/5
Let -2*d**3 - 10*d**2 + 8*d + 40 = 0. Calculate d.
-5, -2, 2
Suppose u**5/4 + u**4 - u**3/4 - u**2 = 0. What is u?
-4, -1, 0, 1
Factor -5*w**3/4 + 5*w**2/4 + 5*w - 5.
-5*(w - 2)*(w - 1)*(w + 2)/4
Factor -2*v**2 - 420*v - 2842.
-2*(v + 7)*(v + 203)
Factor 2*r**4/5 + 18*r**3/5 + 6*r**2 + 14*r/5.
2*r*(r + 1)**2*(r + 7)/5
Solve o**5/10 + 4*o**4/5 + 4*o**3/5 - 16*o**2/5 - 24*o/5 = 0.
-6, -2, 0, 2
Factor -m**3/2 - 131*m**2/4 + 33*m/2.
-m*(m + 66)*(2*m - 1)/4
Solve s**3 + s**2 - s - 1 = 0 for s.
-1, 1
Suppose 5*c**4/4 - 23*c**3/2 + 30*c**2 - 8*c - 32 = 0. Calculate c.
-4/5, 2, 4
Factor 6*o**3/5 - 13*o**2/5 - 4*o + 44/5.
(o - 2)**2*(6*o + 11)/5
Solve -t**4/4 - 7*t**3/4 - 3*t**2/2 = 0.
-6, -1, 0
Factor t**3/4 - 100*t**2 + 39597*t/4 + 40401/2.
(t - 201)**2*(t + 2)/4
Factor 6*p**2/5 - 28*p/5 + 6.
2*(p - 3)*(3*p - 5)/5
Let -h**2/5 + 41*h/5 + 3