- 7*o/5 + 2/5 = 0. Calculate o.
1, 2
Factor 4*o**3 + 22584*o**2 + 42503088*o + 26663603872.
4*(o + 1882)**3
Solve 3*t**3 - 222*t**2 - 687*t - 462 = 0.
-2, -1, 77
Factor -9*r**4/5 - 5*r**3 - 21*r**2/5 - 3*r/5 + 2/5.
-(r + 1)**3*(9*r - 2)/5
Suppose -2*n**4/3 - 52*n**3/3 - 338*n**2/3 - 96*n = 0. Calculate n.
-16, -9, -1, 0
Let 3*i**2/4 + 39*i/2 + 315/4 = 0. What is i?
-21, -5
Factor 27*c**3/7 + 264*c**2/7 - 51*c + 66/7.
3*(c - 1)*(c + 11)*(9*c - 2)/7
What is v in -4*v**2 + 128*v - 240 = 0?
2, 30
Suppose j**5 + 3*j**4 - 8*j**3 - 12*j**2 + 16*j = 0. Calculate j.
-4, -2, 0, 1, 2
Factor -h**3/2 + 45*h**2/2 - 264*h + 242.
-(h - 22)**2*(h - 1)/2
Factor f**3/3 - 10*f**2/3 + 17*f/3 - 8/3.
(f - 8)*(f - 1)**2/3
Factor -y**4 + 2004*y**3 - 1004004*y**2.
-y**2*(y - 1002)**2
Let b**3/2 - 5*b**2/2 + 2*b = 0. Calculate b.
0, 1, 4
Factor -m**3 - 12*m**2 + 1260*m.
-m*(m - 30)*(m + 42)
Factor h**5/3 + 35*h**4 + 1065*h**3 + 7785*h**2 + 21600*h + 20736.
(h + 3)**3*(h + 48)**2/3
Factor 2*b**4/3 + 4*b**3/3 - 80*b**2/3 + 128*b/3.
2*b*(b - 4)*(b - 2)*(b + 8)/3
Determine i, given that -2*i**4 + 56*i**3 + 474*i**2 + 592*i - 1120 = 0.
-4, 1, 35
Determine o so that 2*o**2 - 164*o + 3362 = 0.
41
Factor -2*c**2/5 - 500*c - 156250.
-2*(c + 625)**2/5
Find z such that -z**2/4 - 277*z/4 = 0.
-277, 0
Factor 14*u**2 - 14788*u + 4224.
2*(u - 1056)*(7*u - 2)
Factor -5*h**2 - 120*h - 700.
-5*(h + 10)*(h + 14)
Factor 5*k**2 + 70*k + 245.
5*(k + 7)**2
Factor -a**3 - 13*a**2 + 14*a.
-a*(a - 1)*(a + 14)
Solve -2*y**4/5 - 42*y**3/5 + 102*y**2/5 + 218*y/5 - 276/5 = 0 for y.
-23, -2, 1, 3
Solve -b**3/2 + 47*b**2/4 - 143*b/4 + 15 = 0 for b.
1/2, 3, 20
Factor -2*a**2/3 + 116*a/3 + 496/3.
-2*(a - 62)*(a + 4)/3
Solve -2*l**3 + 38*l**2 + 40*l = 0 for l.
-1, 0, 20
Let -2*o**3/11 + 50*o**2/11 + 424*o/11 + 768/11 = 0. Calculate o.
-4, -3, 32
Factor 3*r**2 - 102*r + 867.
3*(r - 17)**2
Factor -2*r**4/15 + 1012*r**3/15 - 1008*r**2/5 + 604*r/3 - 1006/15.
-2*(r - 503)*(r - 1)**3/15
Factor 5*i**2 - 635*i.
5*i*(i - 127)
Factor 3*h**4 + 69*h**3 + 180*h**2 - 12*h - 240.
3*(h - 1)*(h + 2)**2*(h + 20)
Suppose -4*p**5 + 228*p**4 + 956*p**3 + 1212*p**2 + 488*p = 0. Calculate p.
-2, -1, 0, 61
Factor -5*f**3 + 8*f**2 - 3*f.
-f*(f - 1)*(5*f - 3)
Factor 2*y**3/3 - 526*y**2/3 + 1046*y/3 - 174.
2*(y - 261)*(y - 1)**2/3
Solve -12*o**5 + 99*o**4 - 240*o**3 + 54*o**2 + 324*o - 81 = 0.
-1, 1/4, 3
Let -4*v**5 - 20*v**4 + 8*v**3 + 40*v**2 - 4*v - 20 = 0. Calculate v.
-5, -1, 1
Solve 9*o**5/2 + 573*o**4/2 + 6816*o**3 + 71424*o**2 + 270336*o - 98304 = 0 for o.
-16, 1/3
Solve 2*v**2 - 8*v - 154 = 0 for v.
-7, 11
Factor -h**5 + 57*h**4 - 840*h**3 + 784*h**2.
-h**2*(h - 28)**2*(h - 1)
Factor -2*b**2/7 - 568*b/7 - 40328/7.
-2*(b + 142)**2/7
Factor 3*p**2/4 + 27*p/2 + 54.
3*(p + 6)*(p + 12)/4
Suppose 4*s**4 + 12*s**3 - 540*s**2 + 1028*s - 504 = 0. What is s?
-14, 1, 9
Factor 16*h**4/5 + 7*h**3 + 6*h**2/5.
h**2*(h + 2)*(16*h + 3)/5
What is t in -t**3/6 - 4*t**2 - 65*t/6 - 7 = 0?
-21, -2, -1
Suppose 9*c**5/8 + 51*c**4/8 + 45*c**3/4 + 27*c**2/4 - 3*c/8 - 9/8 = 0. Calculate c.
-3, -1, 1/3
Factor 2*p**2 - 8*p - 154.
2*(p - 11)*(p + 7)
Find k such that -12*k**3/7 - 124*k**2/7 - 32*k/7 + 80/7 = 0.
-10, -1, 2/3
Determine c, given that 60*c**5 - 38*c**4 - 26*c**3 + 4*c**2 = 0.
-1/2, 0, 2/15, 1
What is l in 2*l**5/9 + 28*l**4/9 + 10*l**3 + 104*l**2/9 + 40*l/9 = 0?
-10, -2, -1, 0
Factor 2*g**2/3 + 20*g + 112/3.
2*(g + 2)*(g + 28)/3
Suppose -18*h**4 + 32*h**3 - 10*h**2 - 4*h = 0. Calculate h.
-2/9, 0, 1
What is q in q**3/5 + 16*q**2/5 - 19*q/5 - 34/5 = 0?
-17, -1, 2
Find n such that n**4/2 + 5*n**3/2 - 3*n**2/2 - 17*n/2 - 5 = 0.
-5, -1, 2
Factor -4*z**5 + 36*z**4 - 96*z**3 + 80*z**2.
-4*z**2*(z - 5)*(z - 2)**2
Factor -4*v**5/5 + 28*v**4/5 - 8*v**3.
-4*v**3*(v - 5)*(v - 2)/5
Determine t so that t**2 + 262*t + 777 = 0.
-259, -3
Factor -33*s**2 + 5*s/2 + 1/2.
-(6*s - 1)*(11*s + 1)/2
Find l, given that -l**2/2 - 133*l - 17689/2 = 0.
-133
Factor -s**3/10 + 11*s**2/5 + 47*s/10 + 12/5.
-(s - 24)*(s + 1)**2/10
Solve -2*a**4/3 + 20*a**3/3 - 70*a**2/3 + 100*a/3 - 16 = 0.
1, 2, 3, 4
Factor 4*c**2 + 100*c.
4*c*(c + 25)
Factor -u**4 + 294*u**3 - 21313*u**2 - 43512*u - 21904.
-(u - 148)**2*(u + 1)**2
Solve 18*r**5 - 384*r**4 - 262*r**3 - 44*r**2 = 0 for r.
-1/3, 0, 22
Suppose -162*i**5/5 - 1224*i**4/5 + 146*i**3 + 232*i**2 - 568*i/5 + 64/5 = 0. What is i?
-8, -1, 2/9, 1
Let 51*c**4/4 - 39*c**3/2 - 99*c**2/4 + 39*c/2 + 12 = 0. Calculate c.
-1, -8/17, 1, 2
Solve 4*d**5 - 44*d**4 - 104*d**3 - 8*d**2 + 100*d + 52 = 0.
-1, 1, 13
Factor b**4/2 + 7*b**3 - 76*b**2 - 15*b + 1575/2.
(b - 5)**2*(b + 3)*(b + 21)/2
Factor -x**3/2 + 5*x**2/2 - 4*x + 2.
-(x - 2)**2*(x - 1)/2
Let -a**4/12 - 31*a**3/2 - 961*a**2 - 59582*a/3 = 0. Calculate a.
-62, 0
Determine s, given that 18*s**5 - 102*s**4 + 128*s**3 + 112*s**2 - 160*s - 96 = 0.
-2/3, 2, 3
Factor k**5 + 92*k**4 + 2115*k**3 - 92*k**2 - 2116*k.
k*(k - 1)*(k + 1)*(k + 46)**2
Determine d, given that d**3 + 498*d**2 + 82668*d + 4574296 = 0.
-166
Factor 2*t**3/5 - 72*t**2/5 - 30*t - 76/5.
2*(t - 38)*(t + 1)**2/5
Solve 5*z**5 - 45*z**4 + 125*z**3 - 135*z**2 + 50*z = 0 for z.
0, 1, 2, 5
Factor -2*x**3/7 - 120*x**2/7.
-2*x**2*(x + 60)/7
Factor m**5/8 - 3*m**4/8 - 23*m**3/8 - 33*m**2/8 - 7*m/4.
m*(m - 7)*(m + 1)**2*(m + 2)/8
Find j, given that 4*j**5/13 + 30*j**4/13 - 76*j**3/13 + 8*j**2/13 + 72*j/13 - 38/13 = 0.
-19/2, -1, 1
Solve -432*z**4 + 8592*z**3 + 2876*z**2/3 + 80*z/3 = 0.
-1/18, 0, 20
Factor 2*f**3/11 - 148*f**2/11 - 14*f + 300/11.
2*(f - 75)*(f - 1)*(f + 2)/11
Factor 4*d**4 - 404*d**3 + 2328*d**2 - 4592*d + 3040.
4*(d - 95)*(d - 2)**3
Factor 2*f**2 + 28*f + 98.
2*(f + 7)**2
Find l such that -2*l**5/11 - 6*l**4/11 + 2*l**3/11 + 6*l**2/11 = 0.
-3, -1, 0, 1
Factor m**4/6 - 13*m**3/3 - 29*m**2/6 + 9*m.
m*(m - 27)*(m - 1)*(m + 2)/6
Find t, given that -35*t**2 - 810*t + 720 = 0.
-24, 6/7
Factor 2*w**3/11 - 4*w**2/11 - 14*w/11 - 8/11.
2*(w - 4)*(w + 1)**2/11
Factor -d**5 + 22*d**4 - 121*d**3.
-d**3*(d - 11)**2
Suppose 1125*p**5 + 2400*p**4 - 820*p**3 - 2390*p**2 - 305*p - 10 = 0. Calculate p.
-2, -1, -1/15, 1
Factor -3*x**5 - 141*x**4 - 270*x**3 + 6*x**2 + 273*x + 135.
-3*(x - 1)*(x + 1)**3*(x + 45)
Suppose -u**4/3 - 5*u**3/3 - 5*u**2/3 + 5*u/3 + 2 = 0. What is u?
-3, -2, -1, 1
Factor 15*h**4 - 141*h**3 + 45*h**2 + 81*h.
3*h*(h - 9)*(h - 1)*(5*h + 3)
Factor -t**3/5 - 1514*t**2/5 - 573049*t/5.
-t*(t + 757)**2/5
Factor -11*x**2/9 + 67*x/9 - 56/9.
-(x - 1)*(11*x - 56)/9
Factor 2*w**3 - 4*w**2 - 6*w.
2*w*(w - 3)*(w + 1)
Let -4*y**2/7 - 528*y/7 - 524/7 = 0. Calculate y.
-131, -1
Factor -2*b**2 + 164*b - 3362.
-2*(b - 41)**2
Factor 3*p**3/2 - 4*p**2 - 33*p/2 - 5.
(p - 5)*(p + 2)*(3*p + 1)/2
Factor h**2/5 + 8316*h/5 + 17288964/5.
(h + 4158)**2/5
Factor 3*k**4 - 6*k**3 - 117*k**2 + 120*k + 1200.
3*(k - 5)**2*(k + 4)**2
Factor 2*c**2 + 18*c + 36.
2*(c + 3)*(c + 6)
Determine n, given that -3*n**3/8 - 168*n**2 - 18816*n = 0.
-224, 0
Factor -5*x**3 + 135*x**2 + 285*x + 145.
-5*(x - 29)*(x + 1)**2
Factor k**5/5 + 2*k**4 + 24*k**3/5 + 22*k**2/5 + 7*k/5.
k*(k + 1)**3*(k + 7)/5
Suppose 3*g**5/5 + 12*g**4/5 - 3*g**3 = 0. Calculate g.
-5, 0, 1
Factor -n**3/3 - 14*n**2/3 - n/3 + 52.
-(n - 3)*(n + 4)*(n + 13)/3
Let -2*u**2/23 + 6566*u/23 = 0. What is u?
0, 3283
Let 4*r**5 + 40*r**4 - 64*r**3 - 232*r**2 - 132*r = 0. Calculate r.
-11, -1, 0, 3
Determine u, given that -2*u**4 + 32*u**3/3 + 10*u**2 - 32*u/3 - 8 = 0.
-1, -2/3, 1, 6
Let 32*u**4/19 + 630*u**3 + 1119756*u**2/19 + 69938*u/19 = 0. Calculate u.
-187, -1/16, 0
Factor -7*u**4/2 - 19*u**3/2 - 17*u**2/2 - 5*u/2.
-u*(u + 1)**2*(7*u + 5)/2
Let -28*p**5 + 134*p**4 - 32*p**3 - 134*p**2 + 60*p = 0. What is p?
-1, 0, 1/2, 1, 30/7
Find b such that -3*b**5 + 69*b**4 - 537*b**3 + 1659*b**2 - 2160*b + 972 = 0.
1, 2, 9
Solve -v**2 - 4190*v - 4389025 = 0.
-2095
Factor 11*g**2/7 - 351*g/7 - 32/7.
(g - 32)*(11*g + 1)/7
What is p in 1368*p**5 + 5060*p**4 + 5216*p**3 + 772*p**2 - 704*p + 48 = 0?
-2, -1, 3/38, 2/9
Factor -z**4/5 - 7*z**3/5 + 11*z**2 + 127*z/5 + 66/5.
-(z - 6)*(z + 1)**2*(z + 11)/5
Solve -3*m**2/5 - 20298*m/5 - 34334067/5 = 0.
-3383
Factor -s**3 + 270*s**2 - 18492*s + 35912.
-(s - 134)**2*(s - 2)
Determine y so that -36*y**4 - 237*y**3 - 450*y**2 - 189*y = 0.
-3, -7/12, 0
What is z in -147*z**