, -3, -1, 2
Determine o so that -2*o**4/11 + 2*o**3/11 + 2*o**2 - 18*o/11 - 36/11 = 0.
-3, -1, 2, 3
Determine w so that 2*w**4 + 1624*w**3/3 + 1434*w**2 + 1252*w + 1072/3 = 0.
-268, -1, -2/3
Find k such that 100*k**2/17 + 98*k/17 - 2/17 = 0.
-1, 1/50
Factor 6*t**3 + 146*t**2 + 48*t.
2*t*(t + 24)*(3*t + 1)
Factor 4*t**2 - 20*t + 16.
4*(t - 4)*(t - 1)
Suppose -32*t**2 + 44*t + 76 = 0. Calculate t.
-1, 19/8
Determine r, given that -r**5/2 + 24*r**4 - 112*r**3 + 197*r**2 - 303*r/2 + 43 = 0.
1, 2, 43
Suppose -2*m**2/21 - 6*m/7 + 20/21 = 0. What is m?
-10, 1
Let -3*t**2/7 - 162*t/7 - 600/7 = 0. Calculate t.
-50, -4
What is o in o**5/4 - 111*o**4/2 + 3134*o**3 - 5828*o**2 - 12540*o + 24200 = 0?
-2, 2, 110
Factor 3*o**4 - 69*o**3 - 234*o**2 - 12*o + 312.
3*(o - 26)*(o - 1)*(o + 2)**2
Factor -h**2 - 1019*h.
-h*(h + 1019)
Factor -2*j**2/7 - 4*j - 90/7.
-2*(j + 5)*(j + 9)/7
Let 3*r**2/4 - 927*r/4 - 465/2 = 0. What is r?
-1, 310
Factor -4*o**4 - 44*o**3 - 152*o**2 - 208*o - 96.
-4*(o + 1)*(o + 2)**2*(o + 6)
Factor -3*x**2 - 1692*x - 238572.
-3*(x + 282)**2
Let 27*o**4/4 - 42*o**3 + 279*o**2/4 - 81*o/2 + 6 = 0. Calculate o.
2/9, 1, 4
Suppose 15*c**5 - 99*c**4 + 213*c**3 - 153*c**2 - 12*c + 36 = 0. What is c?
-2/5, 1, 2, 3
Factor -l**5/4 + 11*l**4/4 + 13*l**3/2 + l**2/2 - 25*l/4 - 13/4.
-(l - 13)*(l - 1)*(l + 1)**3/4
Factor -5*i**3 + 3550*i**2 - 630125*i.
-5*i*(i - 355)**2
Find x, given that 3*x**2/5 + 15354*x/5 + 19645443/5 = 0.
-2559
Determine w, given that 3*w**5 - 141*w**4 - 609*w**3 - 171*w**2 + 918*w = 0.
-3, -2, 0, 1, 51
Let 4*k**3 + k**2 - 16*k - 4 = 0. Calculate k.
-2, -1/4, 2
Solve 5*n**3 - 5*n**2 = 0 for n.
0, 1
Find g such that 4*g**5 - 420*g**4 + 14700*g**3 - 171500*g**2 = 0.
0, 35
What is u in -9*u**3 + 240*u**2 - 777*u + 414 = 0?
2/3, 3, 23
Factor -5*z**5 + 75*z**4 - 195*z**3 + 185*z**2 - 60*z.
-5*z*(z - 12)*(z - 1)**3
What is m in 5*m**2 - 54*m - 11 = 0?
-1/5, 11
Suppose 6*g**4 - 23*g**3 + 57*g**2/2 - 57*g/4 + 5/2 = 0. Calculate g.
1/2, 5/6, 2
Factor -2*q**5/5 + 52*q**4/5 - 184*q**3/5 + 176*q**2/5.
-2*q**2*(q - 22)*(q - 2)**2/5
What is x in -8*x**5 + 121*x**4 - 559*x**3 + 548*x**2 + 1092*x - 144 = 0?
-1, 1/8, 4, 6
Factor -3*t**2 - 39*t + 90.
-3*(t - 2)*(t + 15)
Find v, given that 12*v**5 - 57*v**4 + 81*v**3 - 24*v**2 - 12*v = 0.
-1/4, 0, 1, 2
Suppose -16*j**4/3 - 94*j**3/3 + 124*j**2/3 - 14*j/3 = 0. What is j?
-7, 0, 1/8, 1
Factor -2*l**3/5 - 2*l**2 + 16*l/5 + 24/5.
-2*(l - 2)*(l + 1)*(l + 6)/5
Let -414*d**2 + 432*d/13 - 8/13 = 0. What is d?
2/69, 2/39
Factor 3*p**5/4 - 201*p**4/4 + 393*p**3/4 - 195*p**2/4.
3*p**2*(p - 65)*(p - 1)**2/4
Factor 2*v**5/5 - 42*v**4/5 + 352*v**3/5 - 1472*v**2/5 + 3072*v/5 - 512.
2*(v - 5)*(v - 4)**4/5
Factor 9*n**3/2 - 5*n**2/2 - 2*n.
n*(n - 1)*(9*n + 4)/2
Solve 5*f**2/2 + 1185*f/2 + 2900 = 0 for f.
-232, -5
Find a, given that -a**2 - 52*a = 0.
-52, 0
Factor -155*f**4 - 515*f**3 - 615*f**2 - 305*f - 50.
-5*(f + 1)**3*(31*f + 10)
Determine x so that -3*x**2/7 - 39306*x/7 - 128746803/7 = 0.
-6551
Let -16*y**5 + 100*y**4 - 88*y**3 - 80*y**2 + 104*y - 20 = 0. Calculate y.
-1, 1/4, 1, 5
Factor 3*g**2 + 4428*g - 8868.
3*(g - 2)*(g + 1478)
Factor -3*o**4 + 3*o**3 + 30*o**2 + 24*o.
-3*o*(o - 4)*(o + 1)*(o + 2)
Factor -7*h**3/3 + 68*h**2/3 - 148*h/3 - 16.
-(h - 6)*(h - 4)*(7*h + 2)/3
Factor 2*t**4 - 16*t**3 + 24*t**2.
2*t**2*(t - 6)*(t - 2)
Factor 3*j**3 + 12*j**2 - 57*j + 42.
3*(j - 2)*(j - 1)*(j + 7)
Factor l**3/2 + 22*l**2 - 91*l/2 + 23.
(l - 1)**2*(l + 46)/2
Factor -2*q**3/11 + 340*q**2/11 - 14104*q/11 - 29584/11.
-2*(q - 86)**2*(q + 2)/11
Find r, given that 4*r**2 - 260*r + 3784 = 0.
22, 43
Determine x so that -2*x**5/11 + 42*x**4/11 - 108*x**3/11 - 8*x**2/11 + 144*x/11 = 0.
-1, 0, 2, 18
Solve w**3 - 5*w**2 + 6*w = 0 for w.
0, 2, 3
Let -2*l**3/9 + 26*l**2/3 + 2*l/9 - 26/3 = 0. Calculate l.
-1, 1, 39
Let -w**4/7 - 372*w**3/7 - 34596*w**2/7 = 0. What is w?
-186, 0
Factor 20*w**5 + 42*w**4 - 26*w**3.
2*w**3*(2*w - 1)*(5*w + 13)
Find s, given that s**5/2 + 15*s**4/2 + 47*s**3/2 - 63*s**2/2 = 0.
-9, -7, 0, 1
Find r such that -2*r**3/9 - 16*r**2/9 + 8*r/3 + 32 = 0.
-6, 4
Factor x**2/9 + 62*x/9 - 80.
(x - 10)*(x + 72)/9
Let 3*w**4 + 51*w**3 = 0. Calculate w.
-17, 0
Factor -t**4 - 7*t**3 - 15*t**2 - 9*t.
-t*(t + 1)*(t + 3)**2
Factor -4*s**2/3 - 7832*s/3 - 3833764/3.
-4*(s + 979)**2/3
Factor -3*u**3 + 18*u**2 - 15*u.
-3*u*(u - 5)*(u - 1)
Find u, given that u**3/3 + 34*u**2/3 + 59*u + 84 = 0.
-28, -3
Let -r**5 + 4*r**4 + 27*r**3 + 38*r**2 + 16*r = 0. What is r?
-2, -1, 0, 8
Suppose -5*a**4 + 10*a**3 + 25*a**2 - 30*a = 0. What is a?
-2, 0, 1, 3
Factor -2*t**2/7 - 90*t/7 - 88/7.
-2*(t + 1)*(t + 44)/7
Factor v**3/4 - 5*v**2/2 - v/4 + 5/2.
(v - 10)*(v - 1)*(v + 1)/4
Factor -2*v**5/3 + 26*v**4 - 266*v**3 + 722*v**2/3.
-2*v**2*(v - 19)**2*(v - 1)/3
Suppose -2*j**5/11 - 26*j**4/11 - 28*j**3/11 + 404*j**2/11 + 30*j/11 - 378/11 = 0. What is j?
-9, -7, -1, 1, 3
Factor 4*u**3 - 148*u**2 - 480*u.
4*u*(u - 40)*(u + 3)
Factor -b**3 + 409*b**2 - 814*b.
-b*(b - 407)*(b - 2)
Suppose -5*s**2 + 35*s - 50 = 0. Calculate s.
2, 5
Solve -2*p**3 - 5076*p**2 + 10158*p - 5080 = 0.
-2540, 1
Determine k so that -320*k**5 - 2480*k**4 + 3780*k**3 + 1215*k**2 - 3510*k + 1215 = 0.
-9, -1, 3/4
Factor -3*c**4 + 3393*c**3 - 3844263*c**2/4 + 1917045*c/2 - 957675/4.
-3*(c - 565)**2*(2*c - 1)**2/4
Factor -r**4/5 - 4*r**3/5 + 21*r**2/5 + 20*r + 20.
-(r - 5)*(r + 2)**2*(r + 5)/5
What is x in -x**4 - 2*x**3 + 5*x**2 + 6*x = 0?
-3, -1, 0, 2
Factor 2*f**2/9 + 26*f/9 - 28/9.
2*(f - 1)*(f + 14)/9
Determine u so that u**4/5 - 268*u**3/5 - 269*u**2/5 = 0.
-1, 0, 269
Determine i, given that -4*i**3 - 3528*i**2 - 777924*i = 0.
-441, 0
Factor 2*a**2/25 + 3528*a/25 + 1555848/25.
2*(a + 882)**2/25
Factor 2*y**5/11 - 236*y**4/11 + 234*y**3/11.
2*y**3*(y - 117)*(y - 1)/11
Suppose 12*i**4 - 76*i**3 - 260*i**2 - 244*i - 72 = 0. Calculate i.
-1, -2/3, 9
Find x such that 18*x**3/5 - 3909*x**2/5 + 651*x/5 = 0.
0, 1/6, 217
Solve -h**5/6 - 17*h**4/6 - 11*h**3/2 + 121*h**2/6 - 35*h/3 = 0.
-14, -5, 0, 1
Factor -2*m**2/11 + 966*m/11 - 1924/11.
-2*(m - 481)*(m - 2)/11
Factor -o**2/6 - 20*o.
-o*(o + 120)/6
Determine u, given that -3780*u**5 + 57024*u**4 - 59076*u**3 + 22952*u**2 - 3824*u + 224 = 0.
2/15, 2/7, 1/3, 14
What is h in 5*h**4 - 60*h**3 + 150*h**2 - 140*h + 45 = 0?
1, 9
Determine d so that -15*d**3 - 696*d**2 - 276*d = 0.
-46, -2/5, 0
Find q, given that 3*q**3 + 339*q**2 - 5187*q + 18669 = 0.
-127, 7
Factor 2*j**4/3 - 46*j**3/3 + 124*j**2/3 - 80*j/3.
2*j*(j - 20)*(j - 2)*(j - 1)/3
Factor -2*b**2/7 - 130*b/7.
-2*b*(b + 65)/7
Factor 3*g**2/7 + 237*g/7 + 1110/7.
3*(g + 5)*(g + 74)/7
Solve 2*u**3/7 - 338*u**2/7 + 14110*u/7 + 14450/7 = 0 for u.
-1, 85
Factor i**4/7 - 15*i**3 - 107*i**2/7 + 15*i + 106/7.
(i - 106)*(i - 1)*(i + 1)**2/7
Suppose -21*g**2/5 + 939*g/5 + 54 = 0. Calculate g.
-2/7, 45
Factor -3*g**3/8 - 3*g**2/4 + 63*g/8 - 27/4.
-3*(g - 3)*(g - 1)*(g + 6)/8
Factor 6*r**3 - 58*r**2 - 24*r + 232.
2*(r - 2)*(r + 2)*(3*r - 29)
Let -9*a**3/2 + 12675*a**2/4 - 558096*a + 92928 = 0. Calculate a.
1/6, 352
Factor -2*j**3 - 92*j**2 - 960*j + 2304.
-2*(j - 2)*(j + 24)**2
Suppose p**2/8 + 1255*p/2 + 1575025/2 = 0. Calculate p.
-2510
Solve 5*m**2 + 15*m - 140 = 0.
-7, 4
Factor z**5 - 4*z**4 - 6*z**3 + 4*z**2 + 5*z.
z*(z - 5)*(z - 1)*(z + 1)**2
Solve -l**3/2 + 81*l**2 - 3360*l + 6400 = 0.
2, 80
Let 2*a**5 - 26*a**4 + 102*a**3 - 94*a**2 - 104*a + 120 = 0. What is a?
-1, 1, 2, 5, 6
Factor -2*a**2/25 + 64*a/5 - 318/25.
-2*(a - 159)*(a - 1)/25
Factor -l**4/6 - 14*l**3/3 - 83*l**2/3 + 70*l - 75/2.
-(l - 1)**2*(l + 15)**2/6
Solve -m**2/8 + 347*m/8 + 349/4 = 0 for m.
-2, 349
Determine n, given that -4*n**4/7 - 94*n**3/7 - 526*n**2/7 + 48*n + 288/7 = 0.
-12, -1/2, 1
Factor -2*s**4 + 18*s**3 - 44*s**2 + 64.
-2*(s - 4)**2*(s - 2)*(s + 1)
Let i**3/6 + 2*i**2 - 49*i/6 - 10 = 0. Calculate i.
-15, -1, 4
Solve -y**3/6 - y**2 - 5*y/6 = 0 for y.
-5, -1, 0
Suppose -j**3/3 - 32*j**2/3 + 67*j/3 - 34/3 = 0. What is j?
-34, 1
Suppose -4*q**2 + 1052*q - 1048 = 0. Calculate q.
1, 262
Suppose -5*l**5 - 80*l**4 - 160*l**3 + 530*l**2 + 885*l - 1170 = 0. Calculate l.
-13, -3, 1, 2
Solve l**3/2 - 7*l/2 - 3 = 0.
-2, -1, 3
Suppose -3*m**3 + 51*m**2 - 222*m + 264 = 0. What is m?
2, 4, 11
Factor 2*j**4/21 + 2*j**3/3 - 2