 u, given that 2*u**3/5 - 112*u**2/5 + 1302*u/5 - 2952/5 = 0.
3, 12, 41
Determine v so that v**3/8 - 21*v**2/4 - 87*v/8 - 11/2 = 0.
-1, 44
Factor -7*o**5 + 866*o**4 - 26660*o**3 - 7688*o**2.
-o**2*(o - 62)**2*(7*o + 2)
Find x, given that -5*x**2/4 - 780*x - 121680 = 0.
-312
Factor 2*m**3/17 - 372*m**2/17 + 1102*m/17 - 732/17.
2*(m - 183)*(m - 2)*(m - 1)/17
Factor i**3 - 115*i**2 + 3363*i - 3249.
(i - 57)**2*(i - 1)
Factor 5*a**5 + 190*a**4 + 2120*a**3 + 2800*a**2 - 43120*a + 54880.
5*(a - 2)**2*(a + 14)**3
Factor -j**2/2 + 543*j + 2180.
-(j - 1090)*(j + 4)/2
Solve -3*j**2 + 45*j + 228 = 0 for j.
-4, 19
Factor 4*n**3 + 872*n**2 + 1732*n + 864.
4*(n + 1)**2*(n + 216)
Let 118*c**5 - 714*c**4 + 1570*c**3 - 1494*c**2 + 544*c - 24 = 0. Calculate c.
3/59, 1, 2
Suppose -2*j**3/5 + 348*j**2/5 - 342*j/5 - 692/5 = 0. Calculate j.
-1, 2, 173
Factor -3*q**4 + 18*q**3 + 72*q**2 + 78*q + 27.
-3*(q - 9)*(q + 1)**3
Factor -2*g**5 + 2*g**4 + 60*g**3.
-2*g**3*(g - 6)*(g + 5)
Factor 64*a**3 - 480*a**2 + 228*a - 28.
4*(a - 7)*(4*a - 1)**2
Factor -5*x**2 - 1655*x.
-5*x*(x + 331)
Determine r, given that -48*r**5 - 452*r**4 - 460*r**3 + 720*r**2 + 368*r - 128 = 0.
-8, -2, -2/3, 1/4, 1
Suppose 305000667*d**2/5 - 120996*d/5 + 12/5 = 0. Calculate d.
2/10083
Factor -2*s**4/9 + 2*s**2/9.
-2*s**2*(s - 1)*(s + 1)/9
Factor 2*u**3/5 + 22*u**2/5 - 84*u/5.
2*u*(u - 3)*(u + 14)/5
Let 3*f**4/2 - 36*f**3 + 309*f**2/2 - 234*f + 114 = 0. Calculate f.
1, 2, 19
Let -112*f**5 - 164*f**4 + 896*f**3 - 884*f**2 + 296*f - 32 = 0. Calculate f.
-4, 1/4, 2/7, 1
Factor -2*k**2 - 26*k - 60.
-2*(k + 3)*(k + 10)
Suppose 5*j**2 - 830*j + 34445 = 0. Calculate j.
83
Find l such that 3*l**3/7 - 3*l**2 - 219*l/7 - 195/7 = 0.
-5, -1, 13
Factor -2*a**4 + 110*a**3 - 1452*a**2 - 1792*a + 3136.
-2*(a - 28)**2*(a - 1)*(a + 2)
Factor h**3/7 - 38*h**2/7 - 368*h/7.
h*(h - 46)*(h + 8)/7
Factor -2*u**2/5 + 38*u - 188/5.
-2*(u - 94)*(u - 1)/5
Determine b so that 2*b**5/5 - 3084*b**4/5 + 1188882*b**3/5 = 0.
0, 771
Factor n**3/3 + 16*n**2 - 33*n + 50/3.
(n - 1)**2*(n + 50)/3
Suppose s**3/5 - 4*s**2/5 + s/5 + 6/5 = 0. Calculate s.
-1, 2, 3
Factor 4*z**2/3 + 5056*z/3 - 5060/3.
4*(z - 1)*(z + 1265)/3
Factor -2*o**5/3 + 8*o**4 - 104*o**3/3 + 64*o**2 - 128*o/3.
-2*o*(o - 4)**2*(o - 2)**2/3
Suppose -180*w**4 + 3775*w**3 - 12125*w**2 - 550*w + 680 = 0. What is w?
-1/4, 2/9, 4, 17
Suppose 8*d**5 + 74*d**4 + 242*d**3 + 344*d**2 + 200*d + 32 = 0. Calculate d.
-4, -2, -1, -1/4
Factor -2*s**2 - 36*s - 64.
-2*(s + 2)*(s + 16)
Factor -4*v**3/5 + 48*v**2/5 + 36*v.
-4*v*(v - 15)*(v + 3)/5
Let 2*o**4/5 - 2*o**3/5 - 24*o**2/5 = 0. Calculate o.
-3, 0, 4
Solve 3*k**5 + 57*k**4 + 240*k**3 - 300*k**2 = 0.
-10, 0, 1
Determine l so that l**5 - 20*l**4 + 37*l**3 - 18*l**2 = 0.
0, 1, 18
Factor -5*d**3 - 130*d**2 + 275*d - 140.
-5*(d - 1)**2*(d + 28)
Determine l, given that -4*l**2 - 2548*l + 5112 = 0.
-639, 2
Find l, given that -l**4/8 - 7*l**3/8 - 3*l**2/4 = 0.
-6, -1, 0
Factor -o**4 + 6*o**3 - 13*o**2 + 12*o - 4.
-(o - 2)**2*(o - 1)**2
Solve -5*u**4/2 - 26*u**3 + 35*u**2/2 + 11*u = 0.
-11, -2/5, 0, 1
Let -4*m**2 - 44*m = 0. What is m?
-11, 0
Find z, given that 2*z**4/9 - 136*z**3/9 - 278*z**2/9 - 140*z/9 = 0.
-1, 0, 70
Factor -d**3/2 - 97*d**2/2 + 49*d.
-d*(d - 1)*(d + 98)/2
Factor -s**4 + 3*s**3 + 2*s**2 - 12*s + 8.
-(s - 2)**2*(s - 1)*(s + 2)
What is p in p**4/4 - 111*p**3/4 + 1621*p**2/2 - 2241*p + 1458 = 0?
1, 2, 54
Suppose -4*z**3 - 124*z**2 - 344*z - 224 = 0. Calculate z.
-28, -2, -1
Let 9*h**4 + 84*h**3 + 81*h**2 - 126*h - 48 = 0. Calculate h.
-8, -2, -1/3, 1
Solve k**5/3 + 32*k**4/9 - 97*k**3/9 - 26*k**2/3 = 0 for k.
-13, -2/3, 0, 3
Factor -3*t**2/4 + 12.
-3*(t - 4)*(t + 4)/4
Factor 5*o**2 - 240*o.
5*o*(o - 48)
Determine t so that -4*t**2/3 + 28*t/3 = 0.
0, 7
What is i in 2*i**2/7 + 2314*i/7 + 6924/7 = 0?
-1154, -3
What is b in -9*b**3/7 + 1055*b**2/7 - 2304*b/7 + 460/7 = 0?
2/9, 2, 115
Suppose -3*h**3 - 60*h**2 + 81*h + 378 = 0. What is h?
-21, -2, 3
Determine u so that u**2/4 - 145*u/4 - 149 = 0.
-4, 149
Factor 5*w**4 - 120*w**3 + 825*w**2 - 1210*w.
5*w*(w - 11)**2*(w - 2)
Suppose -15*j**4 - 939*j**3 - 14022*j**2 + 21120*j - 6144 = 0. Calculate j.
-32, 2/5, 1
Factor -2*v**4/5 - 4*v**3/5 + 6*v**2.
-2*v**2*(v - 3)*(v + 5)/5
Factor x**5/4 - 5*x**4/2 + 3*x**3/4 + 27*x**2/2.
x**2*(x - 9)*(x - 3)*(x + 2)/4
Let -k**5 - 24*k**4 + 308*k**3 - 1056*k**2 + 1088*k = 0. Calculate k.
-34, 0, 2, 4
Suppose -2*k**4 + 6*k**3 + 686*k**2 + 5058*k + 7452 = 0. What is k?
-9, -2, 23
What is x in -11*x**2/8 - 97*x/4 + 9 = 0?
-18, 4/11
Factor -2*a**3/9 + 134*a**2/9.
-2*a**2*(a - 67)/9
Let -12*y**5 - 40*y**4 + 488*y**3 - 1024*y**2 + 804*y - 216 = 0. Calculate y.
-9, 2/3, 1, 3
Find o such that -3*o**5 - 3*o**4 + 9*o**3 + 3*o**2 - 6*o = 0.
-2, -1, 0, 1
Determine h so that 3*h**3/4 - 36*h - 96 = 0.
-4, 8
Suppose -2*n**4 + 584*n**3 - 48572*n**2 + 867240*n - 4410450 = 0. What is n?
11, 135
Suppose 2*y**5/13 - 28*y**4/13 - 34*y**3/13 + 60*y**2/13 = 0. Calculate y.
-2, 0, 1, 15
Determine u so that 6*u**3/5 - 10656*u**2/5 + 2130*u = 0.
0, 1, 1775
Factor y**3 - 4*y**2 - 501*y + 504.
(y - 24)*(y - 1)*(y + 21)
Determine b so that 2*b**3/5 + 478*b**2/5 + 284*b + 944/5 = 0.
-236, -2, -1
Suppose -2*m**2/21 - 10*m = 0. Calculate m.
-105, 0
Factor 4*w**2/3 + 26*w/3 - 14/3.
2*(w + 7)*(2*w - 1)/3
Let 12*p**4/5 - 46*p**3/5 - 72*p**2/5 + 6*p/5 + 4 = 0. What is p?
-1, -2/3, 1/2, 5
Factor -2*w**2/3 + 22*w/15 - 4/15.
-2*(w - 2)*(5*w - 1)/15
Determine z, given that 2*z**4 + 68*z**3 + 26*z**2 - 9384*z + 38088 = 0.
-23, 6
Solve h**2/3 - 2*h = 0 for h.
0, 6
Let 2*f**3 + 14*f**2 + 30*f + 18 = 0. What is f?
-3, -1
Factor y**5/9 - 5*y**4/9.
y**4*(y - 5)/9
Solve 5*n**2 - 5240*n + 1372880 = 0.
524
Factor -2*m**2/15 + 128*m - 30720.
-2*(m - 480)**2/15
Factor -r**2 + 53*r - 52.
-(r - 52)*(r - 1)
Determine n, given that 15*n**4/2 - 333*n**3 + 1539*n**2/2 - 570*n + 126 = 0.
2/5, 1, 42
Let -4*k**5/9 + 16*k**4/3 - 20*k**3/9 - 712*k**2/9 - 128*k - 512/9 = 0. What is k?
-2, -1, 8
Factor c**2/4 + 1373*c/2 + 1885129/4.
(c + 1373)**2/4
Factor -2*g**3/21 - 148*g**2/21 + 50*g/7.
-2*g*(g - 1)*(g + 75)/21
Suppose -4*u**5 + 20*u**4 - 12*u**3 - 52*u**2 + 32*u + 48 = 0. What is u?
-1, 2, 3
What is r in 4*r**2 + 408*r - 1260 = 0?
-105, 3
Let -s**3/9 + 35*s**2/3 - 308*s/9 + 68/3 = 0. Calculate s.
1, 2, 102
Factor -3*s**2 - 807*s + 810.
-3*(s - 1)*(s + 270)
Let 2*g**2/7 - 18/7 = 0. What is g?
-3, 3
Determine m so that 2*m**4/21 - 4*m**2/7 - 16*m/21 - 2/7 = 0.
-1, 3
Find y such that 345*y**4/2 + 357*y**3/4 - 171*y**2 - 357*y/4 - 3/2 = 0.
-1, -1/2, -2/115, 1
Determine v so that 10*v**5/7 + 12*v**4 + 32*v**3/7 = 0.
-8, -2/5, 0
Solve c**3 + 3*c**2 - 4*c - 12 = 0.
-3, -2, 2
Factor 5*f**4 - 365*f**3 + 8685*f**2 - 70615*f + 109330.
5*(f - 29)**2*(f - 13)*(f - 2)
Solve 2*t**2 - 66*t + 544 = 0.
16, 17
Solve -a**5/3 + a**4 - 4*a**2/3 = 0.
-1, 0, 2
Factor -3*v**2/2 - 297*v/2 - 147.
-3*(v + 1)*(v + 98)/2
Determine n, given that 5*n**2 - 15*n = 0.
0, 3
Let -2*b**5/5 + 122*b**4/5 - 1384*b**3/5 - 14552*b**2/5 - 27744*b/5 = 0. What is b?
-4, -3, 0, 34
Find b, given that b**5/4 + 7*b**4/4 + 15*b**3/4 + 5*b**2/4 - 4*b - 3 = 0.
-3, -2, -1, 1
Let -3*l**2 + 240*l + 6363 = 0. Calculate l.
-21, 101
Factor -4*x**5/7 - 536*x**4/7 + 2192*x**3/7 - 2208*x**2/7.
-4*x**2*(x - 2)**2*(x + 138)/7
Find u, given that 2000*u**3 + 191800*u**2 - 19195*u + 480 = 0.
-96, 1/20
Determine j, given that 3*j**5/5 + 18*j**4/5 - 3*j**3 - 198*j**2/5 - 96*j/5 + 288/5 = 0.
-4, -2, 1, 3
Factor 5*p**3 - 165*p**2 + 1815*p - 6655.
5*(p - 11)**3
Factor -2*c**4/15 - 2*c**3/15 + 2*c**2/15 + 2*c/15.
-2*c*(c - 1)*(c + 1)**2/15
Factor 3*o**3/5 + 15*o**2 + 357*o/5 + 57.
3*(o + 1)*(o + 5)*(o + 19)/5
Factor u**3/5 + 52*u**2/5 + 63*u.
u*(u + 7)*(u + 45)/5
Determine m, given that m**2/3 - 2*m/3 + 1/3 = 0.
1
Factor r**2/3 - 482*r/3 - 648.
(r - 486)*(r + 4)/3
Factor -5*x**2 - 45*x + 110.
-5*(x - 2)*(x + 11)
Determine l, given that 2*l**2/9 - 352*l/3 + 15488 = 0.
264
Factor -w**2/2 + 1049*w.
-w*(w - 2098)/2
Factor -3*l**2 + 192*l - 3045.
-3*(l - 35)*(l - 29)
What is b in b**5 + 54*b**4 + 486*b**3 - 6404*b**2 + 19065*b - 17298 = 0?
-31, 2, 3
Factor -x**5/9 + x**4 - 8*x**3/3 + 20*x**2/9.
-x**2*(x - 5)*(x - 2)**2/9
Solve -144*l**5/7 + 96*l**4/7 + 764*l**3/7 + 676*l**2/7 +