(a + 4)**2*(a + 23)/5
Let -375*z**3/2 - 6975*z**2 - 86490*z - 357492 = 0. Calculate z.
-62/5
Solve -u**5 + 117*u**4 - 458*u**3 + 682*u**2 - 453*u + 113 = 0.
1, 113
Factor -o**4 - 24*o**3 - 45*o**2 - 22*o.
-o*(o + 1)**2*(o + 22)
Let -5*o**5 + 30*o**4 + 115*o**3 - 480*o**2 - 560*o = 0. What is o?
-4, -1, 0, 4, 7
Factor 3*n**4/5 + 132*n**3/5 + 363*n**2 + 7986*n/5.
3*n*(n + 11)**2*(n + 22)/5
Factor i**3/4 - 19*i**2 + 149*i/4 - 37/2.
(i - 74)*(i - 1)**2/4
Factor -266*a**2/3 + 55*a/3 + 2.
-(7*a - 2)*(38*a + 3)/3
Suppose 4*h**2 - 76*h + 240 = 0. Calculate h.
4, 15
Factor 35*s**2/4 - 51*s/2 - 9/4.
(s - 3)*(35*s + 3)/4
Factor c**3/2 + 69*c**2 + 1785*c/2 + 3038.
(c + 7)**2*(c + 124)/2
Let -s**5 + 6*s**4 - 12*s**3 + 8*s**2 = 0. What is s?
0, 2
Factor 5*g**4 + 245*g**3 + 1935*g**2 + 5535*g + 5400.
5*(g + 3)**3*(g + 40)
Let -5*g**5 + 45*g**4 - 160*g**3 + 280*g**2 - 240*g + 80 = 0. Calculate g.
1, 2
Solve 2*q**3/9 - 64*q**2/9 + 362*q/9 - 100/3 = 0 for q.
1, 6, 25
Factor 7*l**4 - l**3 - 8*l**2.
l**2*(l + 1)*(7*l - 8)
Factor -3*o**4/4 + 3*o**3/4 + 6*o**2 - 9*o.
-3*o*(o - 2)**2*(o + 3)/4
Factor -2*j**2/5 - 908*j/5 - 103058/5.
-2*(j + 227)**2/5
Let -3*z**5/7 - 243*z**4/7 - 4269*z**3/7 + 26703*z**2/7 - 22188*z/7 = 0. Calculate z.
-43, 0, 1, 4
Factor 6*s**3 - 20*s**2 - 74*s + 120.
2*(s - 5)*(s + 3)*(3*s - 4)
Solve 1682*g**4 - 3248*g**3 + 1452*g**2 + 112*g + 2 = 0.
-1/29, 1
Suppose -4*l**5 - 34*l**4 - 88*l**3 - 100*l**2 - 52*l - 10 = 0. What is l?
-5, -1, -1/2
Factor 2*b**4/5 - 4*b**3 - 72*b**2/5 - 76*b/5 - 26/5.
2*(b - 13)*(b + 1)**3/5
Factor -j**2 - 251*j.
-j*(j + 251)
What is l in -4*l**2 + 2324*l - 2320 = 0?
1, 580
Factor 3*g**2 + 666*g + 36963.
3*(g + 111)**2
Factor 3*i**2 + 357*i + 702.
3*(i + 2)*(i + 117)
Solve 98*l**2/5 - 318*l/5 + 72/5 = 0 for l.
12/49, 3
What is y in -y**5/8 + 7*y**4/4 - 31*y**3/8 - 17*y**2/4 + 35*y/2 - 11 = 0?
-2, 1, 2, 11
Factor -f**3/2 - 35*f**2/8 + 9*f/8.
-f*(f + 9)*(4*f - 1)/8
Factor 2*b**3/5 + 608*b**2/5 - 1838*b/5 + 1228/5.
2*(b - 2)*(b - 1)*(b + 307)/5
Factor -5*u**2 - 890*u - 39605.
-5*(u + 89)**2
Let -n**5/5 - 32*n**4/5 + 37*n**3/5 + 128*n**2/5 - 132*n/5 = 0. Calculate n.
-33, -2, 0, 1, 2
Factor 2*p**2/9 - 2*p/9.
2*p*(p - 1)/9
Factor 4*u**2/3 - 496*u/3 - 2048/3.
4*(u - 128)*(u + 4)/3
Factor 5*t**2 + 1625*t.
5*t*(t + 325)
Factor 6*b**3/5 + 36*b**2/5 + 72*b/5 + 48/5.
6*(b + 2)**3/5
What is q in q**5/4 + q**4 - 15*q**3/4 - 5*q**2/2 + 11*q - 6 = 0?
-6, -2, 1, 2
Let -k**4 - 14*k**3 - 60*k**2 - 72*k = 0. Calculate k.
-6, -2, 0
Let -2*h**5/11 + 10*h**4/11 - 16*h**3/11 + 8*h**2/11 = 0. Calculate h.
0, 1, 2
Factor -2*o**2/7 + 48*o/7 - 216/7.
-2*(o - 18)*(o - 6)/7
Suppose -3*l**3 - 234*l**2 + 729*l = 0. What is l?
-81, 0, 3
Factor c**3/4 - 3955*c**2/4 + 977132*c + 978121.
(c - 1978)**2*(c + 1)/4
Find v such that -2*v**4 + 3*v**3 + 3*v**2 - 2*v = 0.
-1, 0, 1/2, 2
Factor 2*j**4/15 + 382*j**3/15 + 6016*j**2/5 - 6144*j/5.
2*j*(j - 1)*(j + 96)**2/15
Factor 2*f**4/5 + 24*f**3 + 232*f**2/5.
2*f**2*(f + 2)*(f + 58)/5
Find y, given that 2*y**4/5 + 8*y**3/5 - 2*y**2 = 0.
-5, 0, 1
Suppose 20*k**3 - 388*k**2 + 1112*k - 384 = 0. Calculate k.
2/5, 3, 16
Let -x**5/8 + 111*x**4/4 - 2025*x**3 + 185625*x**2/4 + 1265625*x/8 = 0. What is x?
-3, 0, 75
Factor -2*k**4 + 16*k**3 + 2*k**2 - 16*k.
-2*k*(k - 8)*(k - 1)*(k + 1)
Suppose 4*o**2 + 340*o + 6136 = 0. What is o?
-59, -26
Factor 3*m**2 + 27*m - 660.
3*(m - 11)*(m + 20)
Factor 2*t**2 + 22*t + 20.
2*(t + 1)*(t + 10)
Find k such that k**4/5 + 3*k**3/5 + 2*k**2/5 = 0.
-2, -1, 0
Factor -j**2/2 + 21*j + 235/2.
-(j - 47)*(j + 5)/2
Solve -3*m**3 + 62*m**2 - 148*m + 72 = 0.
2/3, 2, 18
Factor q**5 + 2*q**4 - 2*q**3 - 8*q**2 - 7*q - 2.
(q - 2)*(q + 1)**4
Find h, given that -94*h**4 + 278*h**3 + 106*h**2 - 278*h - 12 = 0.
-1, -2/47, 1, 3
Solve h**3/6 + 25*h**2/3 - 103*h/6 + 26/3 = 0.
-52, 1
Factor -5*k**4 - 300*k**3 - 295*k**2.
-5*k**2*(k + 1)*(k + 59)
Factor s**5/3 + 3*s**4 + 8*s**3 + 20*s**2/3.
s**2*(s + 2)**2*(s + 5)/3
Factor -38*b**4 - 110*b**3 - 102*b**2 - 26*b + 4.
-2*(b + 1)**3*(19*b - 2)
Determine b, given that 2*b**2/5 + 132*b/5 + 2178/5 = 0.
-33
Suppose a**5/4 + a**4/4 - a**3 - a**2 = 0. Calculate a.
-2, -1, 0, 2
Factor x**2/7 + 11990*x/7 + 35940025/7.
(x + 5995)**2/7
Let 11*j**4 + 317*j**3 + 547*j**2 + 187*j - 54 = 0. What is j?
-27, -1, 2/11
Find u such that -3*u**4 + 28*u**3 - 33*u**2 + 8*u = 0.
0, 1/3, 1, 8
Factor 3*a**2/5 - 87*a/5 + 162/5.
3*(a - 27)*(a - 2)/5
Solve -6*m**4 + 488*m**3 + 352*m**2 - 1952*m - 1312 = 0 for m.
-2, -2/3, 2, 82
Factor 135*u**4 - 234*u**3 + 327*u**2/5 + 156*u/5 + 12/5.
3*(u - 1)**2*(15*u + 2)**2/5
Factor 7*l**2/3 - 128*l/3 + 12.
(l - 18)*(7*l - 2)/3
Factor 5*b**4 + 70*b**3 + 305*b**2 + 420*b + 180.
5*(b + 1)**2*(b + 6)**2
Determine u, given that -u**5 - 54*u**4 - 249*u**3 - 196*u**2 = 0.
-49, -4, -1, 0
Factor -9*q**4 + 69*q**3 - 66*q**2 - 144*q.
-3*q*(q - 6)*(q + 1)*(3*q - 8)
Suppose 3*p**5 + 31*p**4 - 23*p**3 - 11*p**2 = 0. What is p?
-11, -1/3, 0, 1
Factor -2*v**3/7 - 26*v**2/7 - 110*v/7 - 150/7.
-2*(v + 3)*(v + 5)**2/7
Find f, given that 49*f**4 - 3843*f**3 - 14262*f**2 - 7204*f - 984 = 0.
-3, -2/7, 82
Factor -3*v**3/7 - 198*v**2/7 - 195*v + 1566/7.
-3*(v - 1)*(v + 9)*(v + 58)/7
Factor j**2/5 - 580*j.
j*(j - 2900)/5
Factor -5*r**3 + 15*r**2 + 110*r - 120.
-5*(r - 6)*(r - 1)*(r + 4)
Determine u, given that u**3/3 + 23*u**2 + 529*u + 12167/3 = 0.
-23
Factor a**4/6 + 4*a**3/3 - 19*a**2/6 + 5*a/3.
a*(a - 1)**2*(a + 10)/6
Factor 24635*w**2 - 10*w.
5*w*(4927*w - 2)
Suppose 2*m**4/11 - 134*m**3/11 + 376*m**2/11 + 512*m/11 = 0. Calculate m.
-1, 0, 4, 64
Find d, given that -32*d**5/15 + 98*d**4/15 + 6*d**3 - 358*d**2/15 + 214*d/15 - 4/5 = 0.
-2, 1/16, 1, 3
Let -5*o**5 - 5*o**4 + 55*o**3 + 145*o**2 + 130*o + 40 = 0. Calculate o.
-2, -1, 4
Factor -3*l**5 - 33*l**4 - 30*l**3 + 318*l**2 - 399*l + 147.
-3*(l - 1)**3*(l + 7)**2
Determine j so that -3*j**2 - 2676*j - 2673 = 0.
-891, -1
Solve -6*i**3/19 + 154*i**2/19 - 962*i/19 - 338/19 = 0.
-1/3, 13
Factor f**4/2 - 6*f**3 - 13*f**2/2.
f**2*(f - 13)*(f + 1)/2
Factor -2*r**2 - 414*r.
-2*r*(r + 207)
Find n such that 3*n**3 - 120*n**2 + 117*n = 0.
0, 1, 39
Factor -4*q**4 - 36*q**3 - 52*q**2 + 180*q + 200.
-4*(q - 2)*(q + 1)*(q + 5)**2
Find l, given that 2*l**3 - 130*l**2 + 254*l - 126 = 0.
1, 63
Let -5*b**5/2 + 5*b**4 + 80*b**3 + 65*b**2 - 155*b/2 - 70 = 0. What is b?
-4, -1, 1, 7
Solve 10*m**4/3 + 128*m**3/3 + 346*m**2/5 + 536*m/15 + 88/15 = 0 for m.
-11, -1, -2/5
Factor 2*j**2/5 - 2*j - 28/5.
2*(j - 7)*(j + 2)/5
Suppose 5*q**4 - 393*q**3 - 163*q**2 + 393*q + 158 = 0. What is q?
-1, -2/5, 1, 79
Determine m, given that 55*m**3 - 325*m**2 + 410*m + 40 = 0.
-1/11, 2, 4
Determine j, given that 6*j**4/7 - 244*j**3/7 + 394*j**2/7 - 156*j/7 = 0.
0, 2/3, 1, 39
Find i such that -2*i**5/7 + 94*i**4/7 - 38*i**3 + 82*i**2/7 + 268*i/7 - 176/7 = 0.
-1, 1, 2, 44
Factor 2*q**4 - 22*q**3 - 186*q**2 - 298*q - 136.
2*(q - 17)*(q + 1)**2*(q + 4)
What is j in -j**5/2 + 111*j**4/2 + 3*j**3/2 - 335*j**2/2 + 111*j = 0?
-2, 0, 1, 111
Factor -2*a**3/9 + 10*a**2/3 - 4*a/9 - 208/3.
-2*(a - 13)*(a - 6)*(a + 4)/9
Factor 2*z**4 - 170*z**3 + 1422*z**2 - 4158*z + 4104.
2*(z - 76)*(z - 3)**3
Factor -q**2 - 19*q + 20.
-(q - 1)*(q + 20)
Let -6*c**4/11 + 94*c**3/11 - 144*c**2/11 + 56*c/11 = 0. What is c?
0, 2/3, 1, 14
What is i in i**4/3 - 8*i**3/3 - 3*i**2 = 0?
-1, 0, 9
Solve 2*u**2/9 - 68*u/9 + 578/9 = 0.
17
Factor d**2 - 152*d + 5776.
(d - 76)**2
Factor -4*i**2 - 424*i - 1236.
-4*(i + 3)*(i + 103)
Factor x**2/4 - 121*x/4.
x*(x - 121)/4
Determine d, given that -245*d**5 + 2100*d**4 - 1140*d**3 + 160*d**2 = 0.
0, 2/7, 8
Factor -q**2 + 29*q.
-q*(q - 29)
Factor -5*l**5 - 45*l**4 - 160*l**3 - 280*l**2 - 240*l - 80.
-5*(l + 1)*(l + 2)**4
Factor -5*m**3 - 25*m**2 + 65*m - 35.
-5*(m - 1)**2*(m + 7)
Let -k**5/5 + 124*k**4/5 + 509*k**3/5 + 388*k**2/5 - 508*k/5 - 512/5 = 0. Calculate k.
-2, -1, 1, 128
Factor 6*b**4 - 21*b**3 + 6*b**2 + 9*b.
3*b*(b - 3)*(b - 1)*(2*b + 1)
Factor -14*n**2/3 - 8*n/3 + 40/3.
-2*(n + 2)*(7*n - 10)/3
Factor 2*a**3/5 + 6*a**2/5 - 116*a/5 + 48.
2*(a - 4)*(a - 3)*(a + 10)/5
Factor 2*y**4/13 + 68*y**3/13 + 192*y**2/13 + 188*y/13 + 62/13.
2*(y + 1)**3*(y + 31)/13
Determine s so that 36*s**4 + 656*s**3/9 + 16*s**2/9 = 0.
-2, -2/81, 0
Factor -4*n**2 - 48*n - 44.