*m/6 + 9 = 0.
2, 27
Factor -5*t**3 - 85*t**2 - 200*t + 780.
-5*(t - 2)*(t + 6)*(t + 13)
Solve -100*l**2/7 + 492*l/7 + 40/7 = 0 for l.
-2/25, 5
Factor -q**5/4 - 3*q**4/2 - q**3/2 + 5*q**2 + 27*q/4 + 5/2.
-(q - 2)*(q + 1)**3*(q + 5)/4
Factor -u**3/3 + 259*u**2/3.
-u**2*(u - 259)/3
Find w, given that w**3 + 1243*w**2/4 + 23946*w - 30420 = 0.
-156, 5/4
Solve 2*i**4/15 - 62*i**3/15 + 638*i**2/15 - 726*i/5 = 0.
0, 9, 11
Factor -2*m**3/9 - 4*m**2/3.
-2*m**2*(m + 6)/9
Let -18*r**4 - 63*r**3 - 49*r**2 + 10*r = 0. Calculate r.
-2, -5/3, 0, 1/6
Let k**2/2 + 7*k - 51/2 = 0. Calculate k.
-17, 3
Determine u, given that 2*u**2 - 56*u + 320 = 0.
8, 20
Let 2*n**3 - 30*n**2 + 28*n = 0. Calculate n.
0, 1, 14
Factor 4*u**5 + 24*u**4 - 16*u**3 - 352*u**2 - 768*u - 512.
4*(u - 4)*(u + 2)**3*(u + 4)
Solve n**2/3 - 202*n + 2408/3 = 0.
4, 602
What is d in -4*d**4 + 72*d**3 - 64*d**2 - 72*d + 68 = 0?
-1, 1, 17
Factor 9*k**3 + 165*k**2 - 708*k + 396.
3*(k - 3)*(k + 22)*(3*k - 2)
Let 1188*u**5 - 414*u**4 - 615*u**3/4 + 51*u**2 + 21*u/4 - 3/2 = 0. What is u?
-1/4, 2/11, 1/3
Factor -4*a**2/3 - 128*a - 3072.
-4*(a + 48)**2/3
Factor 108*b**4 + 360*b**3 + 111*b**2 + 9*b.
3*b*(b + 3)*(6*b + 1)**2
Factor -o**4/2 + 2*o**3 + 7*o**2/2 - 5*o.
-o*(o - 5)*(o - 1)*(o + 2)/2
Find q such that -2*q**2/13 - 134*q/13 - 384/13 = 0.
-64, -3
Factor 25*d**3/6 - 5*d**2/6 - 140*d/3 + 190/3.
5*(d - 2)**2*(5*d + 19)/6
Factor -2*s**2/9 + 52*s/9 - 176/9.
-2*(s - 22)*(s - 4)/9
Find n, given that -n**3/3 - 367*n**2 - 366*n + 2200/3 = 0.
-1100, -2, 1
Factor 2*g**3 + 58*g**2 + 248*g + 192.
2*(g + 1)*(g + 4)*(g + 24)
Find m, given that 3*m**3 - 2088*m**2 + 365391*m - 722454 = 0.
2, 347
Factor -z**2/2 - 9*z/2.
-z*(z + 9)/2
Determine n so that -5*n**2 - 510*n - 13005 = 0.
-51
What is z in -3*z**3 + 11457*z**2 - 22905*z + 11451 = 0?
1, 3817
Determine i, given that -2*i**3 - 182*i**2 + 8*i + 728 = 0.
-91, -2, 2
What is y in -y**2 + 149*y + 456 = 0?
-3, 152
Factor 2*i**3 - 144*i**2 - 8*i + 576.
2*(i - 72)*(i - 2)*(i + 2)
Factor 5*y**4 + 5*y**3 - 20*y**2 - 20*y.
5*y*(y - 2)*(y + 1)*(y + 2)
Let -6*n**5/17 - 134*n**4/17 - 404*n**3/17 - 468*n**2/17 - 230*n/17 - 38/17 = 0. What is n?
-19, -1, -1/3
What is j in -3*j**4 + 33*j**3 + 99*j**2 - 1053*j - 2916 = 0?
-4, -3, 9
Suppose h**2 + 266*h + 17689 = 0. Calculate h.
-133
Suppose 6*p**4 - 507*p**3 + 14364*p**2 - 138768*p + 65856 = 0. What is p?
1/2, 28
Factor q**4 + 52*q**3 - 54*q**2 - 52*q + 53.
(q - 1)**2*(q + 1)*(q + 53)
What is n in 3*n**3 + 39*n**2 + 138*n + 144 = 0?
-8, -3, -2
Factor 2*k**2/7 + 78*k - 1100/7.
2*(k - 2)*(k + 275)/7
Factor 105*s**3 + 261*s**2 + 108*s + 12.
3*(s + 2)*(5*s + 1)*(7*s + 2)
Determine m so that -2*m**4/9 - 52*m**3/9 - 98*m**2/9 - 16*m/3 = 0.
-24, -1, 0
Factor 2*k**2/13 - 134*k/13 + 1880/13.
2*(k - 47)*(k - 20)/13
Let -2*p**4/13 + 152*p**3/13 - 210*p**2 - 468*p = 0. Calculate p.
-2, 0, 39
Find j, given that -3*j**2 - 258*j/7 - 72/7 = 0.
-12, -2/7
Let -50*x**2/13 - 38*x/13 + 12/13 = 0. What is x?
-1, 6/25
Suppose 3*w**3 + 51*w**2 + 261*w + 405 = 0. What is w?
-9, -5, -3
Solve -w**3/2 - w**2/2 + 2*w + 2 = 0 for w.
-2, -1, 2
Factor s**2/5 - 3*s/5 - 18/5.
(s - 6)*(s + 3)/5
Factor i**3 + 23*i**2 - 104*i + 108.
(i - 2)**2*(i + 27)
Factor 2*o**2/15 + 2234*o/15.
2*o*(o + 1117)/15
Factor z**2 - 106*z + 2809.
(z - 53)**2
Factor -t**5 - 2*t**4.
-t**4*(t + 2)
Determine s so that 25*s**4 + 315*s**3 + 445*s**2 + 45*s - 110 = 0.
-11, -1, 2/5
Let -2*r**4 - 316*r**3 + 962*r**2 - 644*r = 0. What is r?
-161, 0, 1, 2
Determine n so that 2*n**3 + 14*n**2 - 20*n - 32 = 0.
-8, -1, 2
Determine j, given that -5*j**5/6 - 5*j**4/3 + 35*j**3/6 + 20*j**2/3 - 10*j = 0.
-3, -2, 0, 1, 2
Factor 3*f**3 + 1179*f**2 - 1188*f - 2364.
3*(f - 2)*(f + 1)*(f + 394)
Factor 4*c**4/3 - 8*c**3 + 88*c/3 + 20.
4*(c - 5)*(c - 3)*(c + 1)**2/3
Suppose 2*m**5/5 + 6*m**4/5 - 12*m**3/5 - 52*m**2/5 - 54*m/5 - 18/5 = 0. Calculate m.
-3, -1, 3
Factor -10*w**2/11 - 6*w + 28/11.
-2*(w + 7)*(5*w - 2)/11
Factor 3*q**3/5 - 71*q**2 + 469*q/5 - 117/5.
(q - 117)*(q - 1)*(3*q - 1)/5
Factor 2*l**3/7 - 234*l**2/7 - 236*l/7.
2*l*(l - 118)*(l + 1)/7
Let 9*q**4 - 539*q**3/2 + 497*q**2/2 - 58*q = 0. Calculate q.
0, 4/9, 1/2, 29
Factor -2*p**3/5 + 20456*p**2/5 - 52305992*p/5.
-2*p*(p - 5114)**2/5
Factor -5*i**3 - 35*i**2 - 20*i + 60.
-5*(i - 1)*(i + 2)*(i + 6)
Find v such that 3*v**5 + 9*v**4 - 3*v**3 - 9*v**2 = 0.
-3, -1, 0, 1
Solve -s**2 + 46*s - 45 = 0 for s.
1, 45
Factor -3*r**3/7 - 18*r**2 - 189*r.
-3*r*(r + 21)**2/7
Solve -3*v**4/2 - 3293*v**3 - 21929*v**2/2 - 9865*v - 2192 = 0 for v.
-2192, -2, -1, -1/3
Solve -5*a**3 - 25*a**2 + 65*a - 35 = 0 for a.
-7, 1
Factor -3*h**4 + 210*h**3 - 4071*h**2 + 13860*h - 13068.
-3*(h - 33)**2*(h - 2)**2
Factor -5*o**4 - 90*o**3 - 405*o**2 - 560*o - 240.
-5*(o + 1)**2*(o + 4)*(o + 12)
Let 3*o**4 - 87*o**3 + 243*o**2 - 237*o + 78 = 0. What is o?
1, 26
What is w in -3*w**5 - 132*w**4 + 1161*w**3 + 4602*w**2 + 492*w - 6120 = 0?
-51, -2, 1, 10
Factor -o**2/4 + 5*o/4 - 1.
-(o - 4)*(o - 1)/4
Factor -2*p**4/5 + 144*p**3/5 - 142*p**2/5.
-2*p**2*(p - 71)*(p - 1)/5
Factor -3*j**3/7 - 15*j**2 - 102*j/7.
-3*j*(j + 1)*(j + 34)/7
Determine i so that -i**5/2 + 3*i**4 + 2*i**3 - 17*i**2 - 51*i/2 - 10 = 0.
-1, 4, 5
Find p such that -16*p**3/5 - 592*p**2/5 - 116*p - 144/5 = 0.
-36, -1/2
What is f in -2*f**5/7 + 20*f**4/7 + 166*f**3/7 + 56*f**2 + 376*f/7 + 128/7 = 0?
-2, -1, 16
Factor -3*k**5 - 9*k**4 - 6*k**3 + 6*k**2 + 9*k + 3.
-3*(k - 1)*(k + 1)**4
Factor h**3/2 + 31*h**2/4 - 17*h/4 - 4.
(h - 1)*(h + 16)*(2*h + 1)/4
Let -2*c**3/7 - 2*c**2/7 + 20*c/7 - 16/7 = 0. What is c?
-4, 1, 2
Suppose 3*k**3/5 + 6*k**2 + 87*k/5 + 12 = 0. What is k?
-5, -4, -1
Let -2*i**4/7 + 32*i**3/7 - 12*i**2 + 80*i/7 - 26/7 = 0. What is i?
1, 13
Factor 4*w**5/5 + 1088*w**4/5 - 4392*w**3/5 + 6608*w**2/5 - 4412*w/5 + 1104/5.
4*(w - 1)**4*(w + 276)/5
Let -5*z**4 - 185*z**3 + 605*z**2 + 185*z - 600 = 0. What is z?
-40, -1, 1, 3
Factor 2*a**2 - 14*a + 12.
2*(a - 6)*(a - 1)
Factor -5*f**2 - 1450*f - 105125.
-5*(f + 145)**2
Suppose 5*j**5 + 1215*j**4 + 8335*j**3 + 17765*j**2 + 15360*j + 4720 = 0. What is j?
-236, -4, -1
Let -b**5/2 + b**4 + 45*b**3/2 - 65*b**2 - 2*b + 84 = 0. Calculate b.
-7, -1, 2, 6
Let -5*r**2 + 50*r - 125 = 0. What is r?
5
Solve -2*n**2/9 - 6*n + 1376/9 = 0 for n.
-43, 16
Find y, given that 2*y**2 - 2*y - 112 = 0.
-7, 8
Factor x**3/4 + 179*x**2/4 + 1886*x - 10580.
(x - 5)*(x + 92)**2/4
Factor -4*a**2/9 + 16*a/9 + 28/3.
-4*(a - 7)*(a + 3)/9
Suppose 3*f**4/5 + 3*f**3/5 - 321*f**2 - 16887*f/5 - 27378/5 = 0. Calculate f.
-13, -2, 27
Suppose -x**5 - 17*x**4 - 93*x**3 - 187*x**2 - 158*x - 48 = 0. Calculate x.
-8, -6, -1
Let 3*u**3 + 21*u**2 - 51*u + 27 = 0. Calculate u.
-9, 1
Factor 10*r**4 - 225*r**3 + 680*r**2 - 285*r.
5*r*(r - 19)*(r - 3)*(2*r - 1)
Let -5*o**3 - 350*o**2 + 1505*o + 1850 = 0. Calculate o.
-74, -1, 5
Factor -2*w**3 + 42*w**2 - 112*w + 72.
-2*(w - 18)*(w - 2)*(w - 1)
Factor -3*o**2/2 + 2475*o/2.
-3*o*(o - 825)/2
Factor -a**4/3 + 3*a**3 - 3*a**2 - 27*a + 54.
-(a - 6)*(a - 3)**2*(a + 3)/3
Factor 2*y**5/5 - 64*y**4/5 - 738*y**3/5.
2*y**3*(y - 41)*(y + 9)/5
Let 2*z**3 + 30*z**2 - 66*z + 34 = 0. Calculate z.
-17, 1
Factor -5*d**2 + 220*d.
-5*d*(d - 44)
Let 25*u**5 + 340*u**4 - 2815*u**3 - 26230*u**2 + 163020*u - 60840 = 0. Calculate u.
-13, 2/5, 6
Factor 15*k**5/11 + 47*k**4/11 + 51*k**3/11 + 21*k**2/11 + 2*k/11.
k*(k + 1)**3*(15*k + 2)/11
Factor -5*m**2 - 1080*m - 58320.
-5*(m + 108)**2
Suppose a**2/5 - 54*a/5 + 473/5 = 0. What is a?
11, 43
Factor -g**4/4 - 287*g**3/4 + 867*g**2/4 - 869*g/4 + 145/2.
-(g - 1)**3*(g + 290)/4
Find o, given that -2*o**4/13 - 74*o**3/13 - 782*o**2/13 - 1734*o/13 = 0.
-17, -3, 0
Find d such that 2*d**5/21 + 10*d**4/21 - 2*d**3/21 - 10*d**2/21 = 0.
-5, -1, 0, 1
Determine z, given that -4*z**2/5 - 96*z/5 = 0.
-24, 0
Determine h so that -h**3 - 44*h**2 - 640*h - 3072 = 0.
-16, -12
Find q, given that 5*q**5/4 + 35*q**4/4 - 10*q**3 - 70*q**2 + 20*q + 140 = 0.
-7, -2, 2
Determine h, given that 279*h**4 + 102*h**3 - 183*h**2 - 6*h = 0.
-1, -1/31, 0, 2/3
Let 4*w**2/5 + 12*w - 216/5 = 0. Calculate w.
-18, 3
Find b, given that -3*b**2 - 30*b + 72 = 0.
-12, 2
Factor 25*p**2 + 4035*p + 1610.
5*(p + 161)*(5*p + 2)
Suppose -14*o**5/5 - 92*o**4/3 - 62*o**3/3 + 60*o**2 - 8