4*s**2 - 51*s + 26.
(s - 1)**2*(s + 26)
Factor -3*m**3 + 141*m**2 - 270*m.
-3*m*(m - 45)*(m - 2)
Find v, given that v**2/5 + 3*v/5 - 154/5 = 0.
-14, 11
Determine w, given that -3*w**2 + 150*w + 312 = 0.
-2, 52
Determine y, given that 3*y**5 + 129*y**4 + 1026*y**3 - 7776*y**2 + 10368*y = 0.
-24, 0, 2, 3
Factor -4*c**3 + 756*c**2 - 35340*c - 36100.
-4*(c - 95)**2*(c + 1)
Factor -p**3/4 + 15*p**2/2 - 29*p/4.
-p*(p - 29)*(p - 1)/4
Factor 3*t**4 - 60*t**3 - 3*t**2 + 60*t.
3*t*(t - 20)*(t - 1)*(t + 1)
Find t, given that -3*t**2/5 - 12*t/5 - 9/5 = 0.
-3, -1
Determine d, given that -d**5/7 + 6*d**4/7 - 11*d**3/7 + 2*d**2/7 + 12*d/7 - 8/7 = 0.
-1, 1, 2
Solve -2*w**4 + 24*w**3 - 82*w**2 + 60*w = 0 for w.
0, 1, 5, 6
Determine i so that -5*i**4/4 - 199*i**3/2 - 8225*i**2/4 - 2964*i + 1521 = 0.
-39, -2, 2/5
Suppose 7*p**5/2 - 9*p**4/2 - 5*p**3/2 + 9*p**2/2 - p = 0. Calculate p.
-1, 0, 2/7, 1
Factor q**2/3 + 11*q/3 + 8.
(q + 3)*(q + 8)/3
Factor -4*b**2 - 3896*b - 948676.
-4*(b + 487)**2
Determine a, given that -4*a**5 - 184*a**4 - 2256*a**3 - 2464*a**2 + 15488*a = 0.
-22, -4, 0, 2
Factor 4*v**3 + 17*v**2 - 44*v - 12.
(v - 2)*(v + 6)*(4*v + 1)
Let -2*j**2/5 + 32*j/5 - 22 = 0. Calculate j.
5, 11
Let -2*l**5/5 - 122*l**4/5 - 2142*l**3/5 - 1726*l**2 - 11312*l/5 - 4704/5 = 0. What is l?
-28, -3, -1
Determine y, given that 2*y**3/7 - 100*y**2/7 - 314*y/7 - 212/7 = 0.
-2, -1, 53
Factor 4*n**5 - 4*n**4 - 12*n**3 + 20*n**2 - 8*n.
4*n*(n - 1)**3*(n + 2)
Suppose -245*j**5/4 + 175*j**4 + 1285*j**3/4 - 95*j**2 - 260*j - 80 = 0. Calculate j.
-1, -4/7, 1, 4
Factor 4*j**3/5 - 4*j**2 - 128*j/5 - 144/5.
4*(j - 9)*(j + 2)**2/5
Solve -s**5/3 - 5*s**4/2 + 29*s**3/6 + 3*s**2 = 0.
-9, -1/2, 0, 2
Factor -219961*u**2 - 1876*u - 4.
-(469*u + 2)**2
Determine s, given that -s**5/6 + 5*s**4/2 - 5*s**3/2 - 155*s**2/6 + 20*s + 78 = 0.
-2, 3, 13
Factor 3*t**3/7 - 114*t**2/7 + 1083*t/7.
3*t*(t - 19)**2/7
Determine v, given that v**3/4 - 325*v**2/4 + 242*v - 161 = 0.
1, 2, 322
Find f such that 3*f**5/5 - 453*f**4/5 + 3552*f**3 - 49272*f**2/5 - 1776*f/5 + 65712/5 = 0.
-1, 2, 74
Factor 5*p**3 + 580*p**2 - 595*p - 1170.
5*(p - 2)*(p + 1)*(p + 117)
Solve -2*q**2/3 - 232*q/3 - 230/3 = 0 for q.
-115, -1
Find w, given that 28*w**5/5 - 48*w**4/5 - 44*w**3/5 + 48*w**2/5 + 16*w/5 = 0.
-1, -2/7, 0, 1, 2
Factor 3*c**2 + 138*c + 264.
3*(c + 2)*(c + 44)
Let -2*g**4/3 - 422*g**3 + 1268*g**2/3 = 0. What is g?
-634, 0, 1
Factor -2*p**3/5 - 4*p**2 - 58*p/5 - 8.
-2*(p + 1)*(p + 4)*(p + 5)/5
Find q such that 4*q**3/3 + 2*q**2 - 2/3 = 0.
-1, 1/2
Determine f, given that -174*f**5 + 1739*f**4 - 5732*f**3 + 6927*f**2 - 2744*f - 16 = 0.
-1/174, 1, 4
Determine i so that -2*i**5 + 12*i**4 + 98*i**3 + 140*i**2 - 72*i - 176 = 0.
-2, 1, 11
Factor 4*w**3 - 292*w**2 + 1336*w + 1632.
4*(w - 68)*(w - 6)*(w + 1)
Find f, given that 4*f**3 - 2496*f**2 + 391860*f - 773768 = 0.
2, 311
Let v**2 - 10*v + 9 = 0. Calculate v.
1, 9
Factor 21*c**3 + 8667*c**2 - 11172*c + 2484.
3*(c - 1)*(c + 414)*(7*c - 2)
Factor 14*j**2 - 38*j - 52.
2*(j + 1)*(7*j - 26)
Factor -4*v**4 - 281*v**3 - 4970*v**2 - 1225*v.
-v*(v + 35)**2*(4*v + 1)
Factor 3*j**2 + 311*j/3 - 520.
(j + 39)*(9*j - 40)/3
Suppose -2*c**2/25 + 386*c/25 - 228/5 = 0. What is c?
3, 190
Let -3*a**3 - 153*a**2 - 150*a = 0. Calculate a.
-50, -1, 0
Let -8*p**5 + 2*p**4 + 16*p**3 - 4*p**2 - 8*p + 2 = 0. Calculate p.
-1, 1/4, 1
Let -2*j**3/3 - 46*j**2/3 + 140*j = 0. Calculate j.
-30, 0, 7
Let -4*o**3 + 28*o**2/5 + 32*o/5 - 16/5 = 0. Calculate o.
-1, 2/5, 2
Factor -281*j**4/9 - 847*j**3/9 - 4*j**2/3.
-j**2*(j + 3)*(281*j + 4)/9
Factor v**3/7 + 10*v**2/7 + 29*v/7 + 20/7.
(v + 1)*(v + 4)*(v + 5)/7
What is d in -2*d**3/9 - 40*d**2/9 + 134*d - 684 = 0?
-38, 9
Factor -5*b**3 - 25*b**2 + 60*b + 180.
-5*(b - 3)*(b + 2)*(b + 6)
Factor 10*b**2/3 - 365*b/6 + 15.
5*(b - 18)*(4*b - 1)/6
Suppose -9*n**4 + 69*n**3 - 156*n**2 + 84*n + 48 = 0. What is n?
-1/3, 2, 4
Solve 147*z**5 + 5670*z**4 + 69480*z**3 + 292560*z**2 + 506160*z + 311904 = 0 for z.
-114/7, -2
Solve -1024*k**4 + 171008*k**3 + 171824*k**2 + 34932*k + 2016 = 0 for k.
-3/4, -1/8, 168
Suppose -5*z**2 - 145*z - 840 = 0. What is z?
-21, -8
Suppose 3*u**2/7 - 894*u/7 + 66603/7 = 0. What is u?
149
Factor 23*w**4/6 + 35*w**3/3 + 12*w**2 + 13*w/3 + 1/6.
(w + 1)**3*(23*w + 1)/6
Suppose -56*i**4/3 + 44*i**3/3 + 104*i**2/3 - 116*i/3 + 8 = 0. Calculate i.
-3/2, 2/7, 1
Determine h so that -4*h**4/9 + 100*h**3/9 = 0.
0, 25
Factor 3*y**4/5 + 33*y**3/5 + 72*y**2/5 - 108*y/5.
3*y*(y - 1)*(y + 6)**2/5
Suppose -3*q**2 - 13278*q - 14692107 = 0. What is q?
-2213
Solve 4*w**5/7 - 40*w**4/7 + 116*w**3/7 - 128*w**2/7 + 48*w/7 = 0 for w.
0, 1, 2, 6
Find v such that 6*v**4 + 4*v**3 - 32*v**2 + 28*v - 6 = 0.
-3, 1/3, 1
Factor 2*k**3/7 - 780*k**2/7 - 3144*k/7 - 3152/7.
2*(k - 394)*(k + 2)**2/7
Solve -5*j**3 + 520*j**2 - 1005*j - 1530 = 0 for j.
-1, 3, 102
Factor 2*v**2/5 + 22*v/5 - 552/5.
2*(v - 12)*(v + 23)/5
Determine t so that t**3/10 - 744*t**2/5 - 2979*t/10 - 149 = 0.
-1, 1490
Let -k**5 + 429*k**4 - 1704*k**3 + 1700*k**2 = 0. Calculate k.
0, 2, 425
Suppose -p**4/3 + 74*p**3 - 5979*p**2 + 207792*p - 2628288 = 0. Calculate p.
39, 72
Let -4*l**3 + 300*l**2 - 7392*l + 59584 = 0. Calculate l.
19, 28
Factor -36*k**3 + 960*k**2 - 6853*k + 5929.
-(k - 1)*(6*k - 77)**2
Factor -z**2/3 - 14*z - 41/3.
-(z + 1)*(z + 41)/3
Factor -2*z**4 + 12*z**3 - 24*z**2 + 20*z - 6.
-2*(z - 3)*(z - 1)**3
Factor 4*u**3 - 788*u**2 - 4*u + 788.
4*(u - 197)*(u - 1)*(u + 1)
Factor 3*s**2 + 891*s.
3*s*(s + 297)
Solve 5*l**4 - 160*l**3 + 955*l**2 + 160*l - 960 = 0 for l.
-1, 1, 8, 24
Determine m, given that -5*m**3 + 265*m**2 - 750*m = 0.
0, 3, 50
Let -51*i**3 - 171*i**2 + 15*i + 207 = 0. Calculate i.
-3, -23/17, 1
Factor z**5 - 5*z**4 + 6*z**3 + 2*z**2 - 7*z + 3.
(z - 3)*(z - 1)**3*(z + 1)
Find u such that -5*u**3 - 665*u**2 - 9680*u - 37440 = 0.
-117, -8
Determine u so that 2*u**3 + 16*u**2 - 22*u - 36 = 0.
-9, -1, 2
Solve -245*q**5 + 3640*q**4 - 2705*q**3 - 3410*q**2 + 1600*q + 1120 = 0 for q.
-4/7, 1, 14
Factor 3*c**4/7 + 132*c**3/7 + 1164*c**2/7 - 6336*c/7 + 6912/7.
3*(c - 2)**2*(c + 24)**2/7
Factor 5*u**4 + 145*u**3 + 1485*u**2 + 6075*u + 7290.
5*(u + 2)*(u + 9)**3
Solve 3*t**5 + 75*t**4 - 87*t**3 - 8967*t**2 - 8364*t + 17340 = 0 for t.
-17, -2, 1, 10
Factor 3*f**3 + 3888*f**2 + 1251900*f - 5070000.
3*(f - 4)*(f + 650)**2
Let -s**5/4 + 17*s**4/4 - 43*s**3/4 + 11*s**2/4 + 11*s - 7 = 0. What is s?
-1, 1, 2, 14
Find n such that n**2/2 + 36*n + 767/2 = 0.
-59, -13
Factor -4*l**3/9 + 356*l**2/9 - 860*l - 900.
-4*(l - 45)**2*(l + 1)/9
Factor -k**4/3 - 3*k**3 + 64*k**2/3 + 52*k.
-k*(k - 6)*(k + 2)*(k + 13)/3
What is h in -3*h**3/8 - 9*h**2/4 + 21*h/8 = 0?
-7, 0, 1
Solve 2*h**5/13 - 4*h**4/13 + 4*h**2/13 - 2*h/13 = 0.
-1, 0, 1
Factor 9*u**3/4 + 33*u**2/4 + 9*u + 3.
3*(u + 1)*(u + 2)*(3*u + 2)/4
Factor 2*v**3 + 48*v**2 - 2*v - 48.
2*(v - 1)*(v + 1)*(v + 24)
Factor 4*v**3 + 155*v**2 + 114*v.
v*(v + 38)*(4*v + 3)
Let -4*g**3 - 2052*g**2 - 262140*g + 264196 = 0. What is g?
-257, 1
Solve 11*s**4/4 + 49*s**3/4 - 59*s**2/2 - 21*s + 18 = 0 for s.
-6, -1, 6/11, 2
Factor h**2/6 + 77*h/2 - 233/3.
(h - 2)*(h + 233)/6
Find u, given that -u**3 - u**2 + 4*u + 4 = 0.
-2, -1, 2
Factor 4*q**3 + 56*q**2 + 100*q + 48.
4*(q + 1)**2*(q + 12)
Find a, given that -2*a**5/15 + 2*a**4/5 + 34*a**3/15 - 34*a**2/5 - 32*a/15 + 32/5 = 0.
-4, -1, 1, 3, 4
Factor -44*g**4/7 - 3240*g**3 - 3892704*g**2/7 - 221761664*g/7 + 122122752/7.
-4*(g + 172)**3*(11*g - 6)/7
Find r, given that 50*r**2/3 - 3120*r + 146016 = 0.
468/5
Determine j so that j**5/5 + 4*j**4/5 - 37*j**3/5 + 68*j**2/5 - 36*j/5 = 0.
-9, 0, 1, 2
Factor -4*u**3/7 - 36*u**2/7 - 8*u/7 + 192/7.
-4*(u - 2)*(u + 3)*(u + 8)/7
Factor 3*c**3/2 + 153*c**2/2 + 417*c + 540.
3*(c + 2)*(c + 4)*(c + 45)/2
Let 10*x**5 + 165*x**4 - 215*x**3 - 2025*x**2 + 3085*x - 1020 = 0. What is x?
-17, -4, 1/2, 1, 3
Suppose -2*d**4 + 16*d**3 - 10*d**2 - 28*d = 0. What is d?
-1, 0, 2, 7
Factor -3*n**3/7 - 93*n**2 - 648*n/7.
-3*n*(n + 1)*(n + 216)/7
What is u in 5*u**3 - 150*u**2 = 0?
0, 30
Factor -3*l**3 - 42*l**2 - 183*l - 252.
-3*(l + 3)*(l + 4)*(l + 7)
Factor 21*a**2 + 174*a - 135.
3*(a + 9)*(7*a - 5)
Factor d**2 - 718*d + 128881.
(d - 359)**2
Suppose -4*j**3/7 - 2*j**2 - 2*j - 4/7 = 0. What is j?
-