+ 11)**2
Find n such that -n**5/5 + 11*n**4/5 - 33*n**3/5 + 37*n**2/5 - 14*n/5 = 0.
0, 1, 2, 7
Determine i so that i**4/3 - i**3/3 - 5*i**2/3 - i = 0.
-1, 0, 3
Factor -5*p**4 + 70*p**3 + 75*p**2.
-5*p**2*(p - 15)*(p + 1)
Let 2*g**4 - 23*g**3 + 75*g**2 - 88*g + 28 = 0. Calculate g.
1/2, 2, 7
Find q such that -2*q**5/11 + 128*q**4/11 - 124*q**3/11 - 128*q**2/11 + 126*q/11 = 0.
-1, 0, 1, 63
Solve -2*b**5 - 10*b**4 - 16*b**3 - 8*b**2 = 0 for b.
-2, -1, 0
Factor 2*y**4/3 + 388*y**3/3 + 19202*y**2/3 + 12416*y + 6144.
2*(y + 1)**2*(y + 96)**2/3
Find v, given that -9*v**5 + 492*v**4 + 693*v**3 - 1164*v**2 - 684*v + 672 = 0.
-2, -1, 2/3, 1, 56
Factor o**3 - 16*o**2 - 35*o - 18.
(o - 18)*(o + 1)**2
Factor 3*h**3 - 15*h**2.
3*h**2*(h - 5)
Suppose -2*o**5/9 + 44*o**4/9 - 184*o**3/9 + 244*o**2/9 - 34*o/3 = 0. What is o?
0, 1, 3, 17
Factor 66*l**2/5 - 111*l/5 + 9.
3*(l - 1)*(22*l - 15)/5
Let 48*d**4 - 1704*d**3 + 2475*d**2 - 921*d + 102 = 0. Calculate d.
1/4, 1, 34
Factor -25*a**2 + 690*a + 280.
-5*(a - 28)*(5*a + 2)
Solve 2*u**4/5 + 44*u**3/5 + 336*u**2/5 + 196*u + 686/5 = 0.
-7, -1
Find u, given that 2*u**5/15 + 6*u**4/5 - 382*u**3/15 - 6*u**2/5 + 76*u/3 = 0.
-19, -1, 0, 1, 10
Solve 5*q**5 - 50*q**4 + 125*q**3 = 0 for q.
0, 5
Factor -r**5/2 + 7*r**4/2 - 4*r**3 - 8*r**2.
-r**2*(r - 4)**2*(r + 1)/2
Factor 2*f**5/7 + 18*f**4/7 + 30*f**3/7 - 50*f**2/7.
2*f**2*(f - 1)*(f + 5)**2/7
Factor -3*b**5/4 - 27*b**4/4 - 27*b**3/2 + 81*b**2/2 + 729*b/4 + 729/4.
-3*(b - 3)*(b + 3)**4/4
Determine r so that 48*r**3 - 360*r**2 + 171*r - 21 = 0.
1/4, 7
Solve m**4 - 10*m**3 + 24*m**2 - 22*m + 7 = 0 for m.
1, 7
Let 2*n**2 - 2556*n + 816642 = 0. Calculate n.
639
Factor 3*o**4 + 6*o**3 - 33*o**2 - 36*o.
3*o*(o - 3)*(o + 1)*(o + 4)
Factor -2*x**5/7 + 4*x**4 - 120*x**3/7 + 100*x**2/7 + 250*x/7.
-2*x*(x - 5)**3*(x + 1)/7
Let 2*o**3/3 + 4*o**2 - 14*o/3 = 0. Calculate o.
-7, 0, 1
Determine w so that -w**4/3 + 6*w**3 - 88*w**2/3 + 42*w - 55/3 = 0.
1, 5, 11
Factor -c**4/5 + 4*c**3/5 - 6*c**2/5 + 4*c/5 - 1/5.
-(c - 1)**4/5
What is o in -o**2/2 + 11*o/2 - 5 = 0?
1, 10
Find i such that -i**3 + 48*i**2 + 99*i + 50 = 0.
-1, 50
Suppose 3*y**3/5 + 3*y**2 + 18*y/5 = 0. What is y?
-3, -2, 0
Factor 3*y**2 - 1722*y - 6936.
3*(y - 578)*(y + 4)
Find j such that 2*j**3/7 - 102*j**2/7 - 30*j - 106/7 = 0.
-1, 53
Determine u so that -2*u**2/3 - 516*u - 1546/3 = 0.
-773, -1
Factor -2*t**5 + 154*t**4 - 3552*t**3 + 12992*t**2 + 250880*t + 526848.
-2*(t - 28)**3*(t + 3)*(t + 4)
Solve 20*z**5 - 316*z**4 + 836*z**3 + 3420*z**2 + 648*z = 0.
-2, -1/5, 0, 9
Solve 25*m**4/4 + 85*m**3/4 + 20*m**2 + 5*m = 0.
-2, -1, -2/5, 0
Factor 5*t**4 + 40*t**3 + 75*t**2.
5*t**2*(t + 3)*(t + 5)
Let a**4/5 - 44*a**3/5 + 83*a**2/5 + 44*a/5 - 84/5 = 0. What is a?
-1, 1, 2, 42
Factor -k**3/2 - 55*k**2/2 + 113*k/2 - 57/2.
-(k - 1)**2*(k + 57)/2
Factor -3*g**3/5 - 7*g**2/5 - 2*g/5.
-g*(g + 2)*(3*g + 1)/5
Let -g**2 + 125*g + 126 = 0. Calculate g.
-1, 126
Solve -2*u**3 + 2*u**2 + 480*u = 0 for u.
-15, 0, 16
Suppose -r**5 - 17*r**4 + 153*r**3 - 347*r**2 + 308*r - 96 = 0. What is r?
-24, 1, 4
Let 2*g**3/13 + 80*g**2/13 + 72*g + 2592/13 = 0. Calculate g.
-18, -4
Factor -2*h**5/3 + 14*h**4 - 38*h**3 + 110*h**2/3 - 12*h.
-2*h*(h - 18)*(h - 1)**3/3
Let b**3/3 - 97*b**2/3 + 2303*b/3 + 2401/3 = 0. What is b?
-1, 49
Find a, given that -20*a**5/3 + 188*a**4/3 - 472*a**3/3 + 400*a**2/3 - 32*a = 0.
0, 2/5, 1, 2, 6
Find m such that 2*m**4 - 42*m**3 + 240*m**2 - 200*m = 0.
0, 1, 10
Factor r**4/5 - 3*r**3/5 - 9*r**2/5 - r.
r*(r - 5)*(r + 1)**2/5
Factor -i**3/2 - 89*i**2 - 176*i.
-i*(i + 2)*(i + 176)/2
Find t such that t**5/3 - 990*t**4 + 1176120*t**3 - 698615280*t**2 + 207488738160*t - 24649662093408 = 0.
594
Find l, given that 4*l**3 + 228*l**2 = 0.
-57, 0
Suppose -3*v**4 - 12*v**3 - 9*v**2 = 0. Calculate v.
-3, -1, 0
Let 2*s**3/15 + 674*s**2/15 - 4106*s/15 + 686/3 = 0. Calculate s.
-343, 1, 5
Let -4*n**3 - 792*n**2 + 4860*n - 7344 = 0. Calculate n.
-204, 3
Factor -h**5/3 + 184*h**4 - 33856*h**3 + 6229504*h**2/3.
-h**2*(h - 184)**3/3
Solve -10*z**2/3 + 74*z/3 + 268 = 0 for z.
-6, 67/5
Solve -p**4/8 - 2*p**3 - 5*p**2/2 + 50*p = 0.
-10, 0, 4
Solve -2*q**2 - 44*q = 0 for q.
-22, 0
Solve 9*c**5/8 + 3*c**4 - 35*c**3/8 - 25*c**2/4 + 19*c/2 - 3 = 0 for c.
-3, -2, 2/3, 1
Factor -5*w**2 - 45*w - 100.
-5*(w + 4)*(w + 5)
Factor -l**4/5 - 8*l**3 + 172*l**2/5 - 176*l/5.
-l*(l - 2)**2*(l + 44)/5
Factor -3*y**3/2 - 12*y**2 + 3*y/2 + 12.
-3*(y - 1)*(y + 1)*(y + 8)/2
Factor -3*t**3 - 1080*t**2 - 97200*t.
-3*t*(t + 180)**2
Factor m**3 - 85*m**2 - m + 85.
(m - 85)*(m - 1)*(m + 1)
Factor -5*v**4 + 135*v**3 + 150*v**2 - 280*v.
-5*v*(v - 28)*(v - 1)*(v + 2)
Find v, given that -2209*v**2/4 + 47*v - 1 = 0.
2/47
Factor -18*o**2 - 1724*o + 384.
-2*(o + 96)*(9*o - 2)
Solve -3*y**4/4 - 3*y**3 - 3*y**2/2 + 3*y + 9/4 = 0.
-3, -1, 1
Solve -a**5 + a**4 + 15*a**3 + 23*a**2 + 10*a = 0 for a.
-2, -1, 0, 5
Determine l so that -3*l**2/4 - 33*l - 1425/4 = 0.
-25, -19
Solve -g**4/6 + 7*g**3 - 437*g**2/6 - 28*g + 294 = 0 for g.
-2, 2, 21
Solve -2*l**2/7 + 24*l - 504 = 0.
42
Determine t so that 4*t**5 + 340*t**4 + 7668*t**3 + 16892*t**2 - 67240*t = 0.
-41, -5, 0, 2
Factor 4*y**5 - 28*y**4 + 56*y**3 - 32*y**2.
4*y**2*(y - 4)*(y - 2)*(y - 1)
Factor -16*a**3/3 + 28*a**2 - 28*a + 16/3.
-4*(a - 4)*(a - 1)*(4*a - 1)/3
Determine o, given that -o**2 - 2189*o - 4374 = 0.
-2187, -2
Let -4*m**2 + 36*m + 2944 = 0. Calculate m.
-23, 32
Factor -5*j**3 - 110*j**2 - 700*j - 1000.
-5*(j + 2)*(j + 10)**2
Find a, given that 4*a**5 + 4*a**4 - 24*a**3 + 8*a**2 + 20*a - 12 = 0.
-3, -1, 1
Factor 3*k**3 - 12*k**2 - 87*k - 72.
3*(k - 8)*(k + 1)*(k + 3)
Factor -4*m**3 + 7140*m**2 - 3189792*m + 3182656.
-4*(m - 892)**2*(m - 1)
Factor 35*a**4 + 90*a**3 + 25*a**2 - 30*a.
5*a*(a + 1)*(a + 2)*(7*a - 3)
Let -2*z**3/5 + 46*z**2/5 - 264*z/5 + 72 = 0. What is z?
2, 6, 15
Factor u**3/5 - 14*u**2/5 + 5*u - 12/5.
(u - 12)*(u - 1)**2/5
Factor -4*h**3 - 29*h**2/6 - 5*h/6.
-h*(h + 1)*(24*h + 5)/6
Suppose -5*t**3 - 35*t**2 - 10*t + 200 = 0. Calculate t.
-5, -4, 2
Factor -24*g**3/7 + 30*g**2 + 54*g/7.
-6*g*(g - 9)*(4*g + 1)/7
Find k, given that 2*k**3/5 - 12*k**2/5 + 2*k + 24/5 = 0.
-1, 3, 4
Determine b, given that 12*b**5 - 44972*b**4 + 56190012*b**3 - 23418735012*b**2 + 15587529992*b = 0.
0, 2/3, 1249
Factor 5*t**5 + 100*t**4 + 270*t**3 + 260*t**2 + 85*t.
5*t*(t + 1)**3*(t + 17)
Factor 2*m**2 + 12*m.
2*m*(m + 6)
Solve 2*f**4 - 10*f**3 - 30*f**2 + 10*f + 28 = 0.
-2, -1, 1, 7
Factor -o**3/2 + 19*o**2 - 105*o/2.
-o*(o - 35)*(o - 3)/2
Solve -9*o**5 - 51*o**4 - 84*o**3 - 36*o**2 = 0 for o.
-3, -2, -2/3, 0
Let -21*r**5 - 81*r**4 + 1272*r**3 - 852*r**2 - 6624*r + 960 = 0. Calculate r.
-10, -2, 1/7, 4
What is o in 2*o**5/7 - 3252*o**4/7 - 2*o**3/7 + 3252*o**2/7 = 0?
-1, 0, 1, 1626
Solve 23762*h**2/9 + 14824*h/9 + 2312/9 = 0.
-34/109
Suppose -6*c**2/11 - 82*c/11 + 28/11 = 0. What is c?
-14, 1/3
Factor 5*f**5 - 5480*f**4 + 1506990*f**3 - 2997560*f**2 + 1496045*f.
5*f*(f - 547)**2*(f - 1)**2
Find i, given that -i**3/5 + 321*i**2/5 + 1953*i/5 + 2943/5 = 0.
-3, 327
What is y in -y**3 - 39*y**2 + y + 39 = 0?
-39, -1, 1
Factor n**4/7 + 8*n**3/7 - 76*n**2/7 + 16*n.
n*(n - 4)*(n - 2)*(n + 14)/7
Suppose -q**5 - 100*q**4 + 106*q**3 + 508*q**2 + 303*q = 0. Calculate q.
-101, -1, 0, 3
Find z, given that -4*z**4 + 32*z**3 - 28*z**2 = 0.
0, 1, 7
Factor c**4 + 10*c**3 - 39*c**2 + 4*c + 52.
(c - 2)**2*(c + 1)*(c + 13)
Let 2*b**4/5 + 8*b**3/5 - 12*b**2/5 - 8*b/5 + 2 = 0. Calculate b.
-5, -1, 1
Factor 2*l**2/3 - 6*l - 20/3.
2*(l - 10)*(l + 1)/3
What is u in -2*u**3/9 - 44*u**2/9 - 74*u/3 - 20 = 0?
-15, -6, -1
Solve k**2 + 278*k + 19321 = 0.
-139
Factor -j**5 + 5*j**4 - 8*j**3 + 4*j**2.
-j**2*(j - 2)**2*(j - 1)
What is a in 2*a**5/15 + 8*a**4/5 + 14*a**3/3 + 16*a**2/5 = 0?
-8, -3, -1, 0
Factor 18*p**2 + 5*p - 23.
(p - 1)*(18*p + 23)
Solve -3*v**5/5 + 14*v**4/5 + v**3/5 - 12*v**2 + 36*v/5 = 0 for v.
-2, 0, 2/3, 3
Factor -6*o**2 - 27*o + 285.
-3*(o - 5)*(2*o + 19)
Factor -h**3/2 - 7*h**2/2 + 241*h/2 + 247/2.
-(h - 13)*(h + 1)*(h + 19)/2
Determine k so that 10*k**2/13 + 84*k/13 + 32/13 = 0.
-8, -2/5
Factor -3*j**5 + 57*j**3 + 102*j**2 - 36*j - 120.
-3*(j - 5)*(j - 1)*(j + 2)**3
Factor 4*a**2 + 2288*a + 327184.
4*(a + 286)**2
Suppose 36*o**5/13 + 930*o**4/