Factor 2*z**4/3 - 4*z**3 - 38*z**2/3 + 16*z.
2*z*(z - 8)*(z - 1)*(z + 3)/3
Let -2*r**4 + 164*r**3 - 3522*r**2 + 6560*r - 3200 = 0. What is r?
1, 40
Solve 18*i**3 - 500*i**2 - 1786*i - 372 = 0.
-3, -2/9, 31
Suppose 28*y**4 + 428*y**3 + 1884*y**2 + 1876*y + 392 = 0. Calculate y.
-7, -1, -2/7
Factor -10*f**3/11 - 1436*f**2/11 - 51264*f/11 + 20736/11.
-2*(f + 72)**2*(5*f - 2)/11
Determine w so that -50*w**5/7 + 14*w**4 + 54*w**3/7 - 14*w**2 - 4*w/7 = 0.
-1, -1/25, 0, 1, 2
Determine n so that 14*n**4/3 + 8*n**3 - 184*n**2/3 - 32*n + 512/3 = 0.
-4, -2, 2, 16/7
Factor -y**4/7 + 5*y**3/7 - y**2/7 - 3*y + 18/7.
-(y - 3)**2*(y - 1)*(y + 2)/7
What is b in b**4/2 - 15*b**3/2 + 23*b**2/2 + 39*b/2 = 0?
-1, 0, 3, 13
What is y in y**4/3 - y**2/3 = 0?
-1, 0, 1
Factor -q**3 + 2*q**2 + 131*q - 132.
-(q - 12)*(q - 1)*(q + 11)
Suppose -5*w**5/4 - 48*w**4 - 411*w**3/4 + 199*w**2 + 363*w + 108 = 0. What is w?
-36, -3, -1, -2/5, 2
Factor -3*d**2/4 - 147*d + 297.
-3*(d - 2)*(d + 198)/4
Let 3*l**5 + 12*l**4 - 60*l**3 + 30*l**2 + 57*l - 42 = 0. What is l?
-7, -1, 1, 2
Suppose -4*g**2 - 48*g - 144 = 0. What is g?
-6
Factor 2*z**2/3 - 278*z/3 + 92.
2*(z - 138)*(z - 1)/3
Solve -s**4/9 - 17*s**3/9 - 71*s**2/9 - 43*s/9 + 44/3 = 0 for s.
-11, -4, -3, 1
Let x**4/3 + 7*x**3/3 - 22*x**2/3 - 28*x/3 + 24 = 0. What is x?
-9, -2, 2
Factor 35*k**4 + 5*k**3 - 105*k**2 + 55*k + 10.
5*(k - 1)**2*(k + 2)*(7*k + 1)
Factor 10*b**3/3 + 46*b**2/3 - 20*b/3.
2*b*(b + 5)*(5*b - 2)/3
Suppose -5*o**2 + 250*o - 245 = 0. What is o?
1, 49
Determine u, given that u**4 + 25*u**3 - 53*u**2 + 27*u = 0.
-27, 0, 1
Factor 2*b**5 - 110*b**4 - 708*b**3 - 1448*b**2 - 976*b.
2*b*(b - 61)*(b + 2)**3
Factor -j**2 + 374*j - 34969.
-(j - 187)**2
Let -2*f**3 - 6*f**2 - 4*f = 0. Calculate f.
-2, -1, 0
Solve -4*s**5 - 36*s**4 - 76*s**3 - 12*s**2 + 80*s + 48 = 0 for s.
-6, -2, -1, 1
Let 6*x**5 - 93*x**4/2 + 114*x**3 - 201*x**2/2 + 15*x + 12 = 0. What is x?
-1/4, 1, 2, 4
Determine k so that k**3 - 20*k**2 + 67*k - 48 = 0.
1, 3, 16
Factor w**4/5 - 56*w**3/5 + 162*w**2/5 - 32*w + 53/5.
(w - 53)*(w - 1)**3/5
Find v, given that -16*v**4 + 9188*v**3 - 1310968*v**2 - 2327040*v + 663552 = 0.
-2, 1/4, 288
Factor -4*y**3 - 2352*y**2 - 460992*y - 30118144.
-4*(y + 196)**3
What is i in -2*i**5/9 - 4*i**4/9 + 14*i**3/9 + 16*i**2/9 - 8*i/3 = 0?
-3, -2, 0, 1, 2
Factor -2*t**3/13 - 8508*t**2/13 - 12064344*t/13 - 5702413264/13.
-2*(t + 1418)**3/13
Suppose -2*m**4/9 - 8*m**3/9 + 14*m**2/3 - 8*m/9 - 56/9 = 0. Calculate m.
-7, -1, 2
Factor -324*q**5 - 3708*q**4 + 16256*q**3 - 15360*q**2.
-4*q**2*(q + 15)*(9*q - 16)**2
Factor a**2 + 152*a + 5776.
(a + 76)**2
Factor 2*y**3/7 - 810*y**2/7 + 80784*y/7 + 249696/7.
2*(y - 204)**2*(y + 3)/7
Let -p**3 + 47*p**2 - 214*p + 168 = 0. What is p?
1, 4, 42
Determine u so that u**2 + 77*u + 76 = 0.
-76, -1
Factor -3*y**4 - 9492*y**3 - 11262258*y**2 - 5938964052*y - 1174430141283.
-3*(y + 791)**4
Let -3*l**4 - 660*l**3 - 35631*l**2 + 73926*l = 0. Calculate l.
-111, 0, 2
Determine a so that -5*a**5 - 5*a**4 + 10*a**3 = 0.
-2, 0, 1
Determine a, given that -a**3/4 - 35*a**2/4 - 303*a/4 - 621/4 = 0.
-23, -9, -3
Suppose u**2 + 3264*u + 2663424 = 0. Calculate u.
-1632
Factor x**4/2 + 7*x**3/2 + 6*x**2 - 2*x - 8.
(x - 1)*(x + 2)**2*(x + 4)/2
Factor h**3/5 + 7428*h**2/5 + 18391728*h/5 + 15179306176/5.
(h + 2476)**3/5
Solve 100*s**3 - 149320*s**2 - 119504*s - 23904 = 0 for s.
-2/5, 1494
Solve 2*z**3/3 - 16*z**2/3 + 6*z + 12 = 0 for z.
-1, 3, 6
Suppose 3*a**2 + 102*a = 0. What is a?
-34, 0
Factor -35*f**2/6 + 47*f/2 - 2/3.
-(f - 4)*(35*f - 1)/6
Factor 2*a**3 + 666*a**2 + 55110*a - 55778.
2*(a - 1)*(a + 167)**2
Factor 3*u**4 - 318*u**3 + 8103*u**2 + 17172*u + 8748.
3*(u - 54)**2*(u + 1)**2
Determine p, given that 2*p**4/5 - 3414*p**3/5 + 682*p**2 + 3414*p/5 - 3412/5 = 0.
-1, 1, 1706
Factor 49*l**3 + 469*l**2 + 256*l + 36.
(l + 9)*(7*l + 2)**2
Factor -2*w**3 + 158*w**2 - 3040*w - 3200.
-2*(w - 40)**2*(w + 1)
Find q such that 3*q**2/4 + 174*q + 10092 = 0.
-116
Determine m, given that -2*m**4 - 268*m**3 - 12384*m**2 - 214484*m - 795070 = 0.
-43, -5
Let -i**5/4 + i**3/2 - i/4 = 0. What is i?
-1, 0, 1
Find h, given that -4*h**4 + 24*h**3 - 44*h**2 + 24*h = 0.
0, 1, 2, 3
Let -2*q**5/3 - 86*q**4 - 10240*q**3/3 - 124672*q**2/3 - 172032*q - 401408/3 = 0. Calculate q.
-56, -8, -1
Factor -4*q**5 + 72*q**4 + 156*q**3 + 80*q**2.
-4*q**2*(q - 20)*(q + 1)**2
Factor -i**2/5 - 67*i/5 - 66/5.
-(i + 1)*(i + 66)/5
Factor -4*j**3 + 52*j**2 - 176*j + 128.
-4*(j - 8)*(j - 4)*(j - 1)
Factor -4*d**3/3 - 128*d**2/3 + 548*d - 504.
-4*(d - 9)*(d - 1)*(d + 42)/3
Factor -21*b**3/8 - 8*b**2 + 81*b/8 + 1/2.
-(b - 1)*(b + 4)*(21*b + 1)/8
Let 25*w**4 - 35*w**3 - 230*w**2 - 120*w = 0. Calculate w.
-2, -3/5, 0, 4
Let -6*y**4/7 - 62*y**3/7 + 50*y**2/7 + 62*y/7 - 44/7 = 0. Calculate y.
-11, -1, 2/3, 1
Determine v so that -4*v**3 + 428*v**2 + 1320*v = 0.
-3, 0, 110
Solve -5*m**4/4 + 3665*m**3/2 = 0 for m.
0, 1466
Factor -3*h**3/5 - 873*h**2/5 + 876*h/5.
-3*h*(h - 1)*(h + 292)/5
Solve o**3/3 - 209*o**2/3 + 415*o/3 - 69 = 0.
1, 207
Factor 2*a**2/7 - 30*a - 3872/7.
2*(a - 121)*(a + 16)/7
Factor 9*m**2/5 + 219*m/5 - 540.
3*(m - 9)*(3*m + 100)/5
Factor 2*c**2 - 1500*c + 281250.
2*(c - 375)**2
Suppose 4*m**3 - 44*m**2 - 224*m - 240 = 0. Calculate m.
-2, 15
Determine m, given that 2*m**4/7 - 6*m**3/7 - 38*m**2/7 + 6*m/7 + 36/7 = 0.
-3, -1, 1, 6
Suppose -27*g**5/8 - 81*g**4/8 - 3*g**3/4 + 21*g**2/2 - 3*g = 0. Calculate g.
-2, 0, 1/3, 2/3
Factor -y**2/2 - 155*y/2 - 77.
-(y + 1)*(y + 154)/2
Find m, given that -2*m**5/7 + 78*m**4/7 - 720*m**3/7 - 800*m**2/7 = 0.
-1, 0, 20
Factor -t**2/4 - 3*t/4 - 1/2.
-(t + 1)*(t + 2)/4
Solve u**5/4 - 5*u**4 + 35*u**3/2 - 25*u**2 + 65*u/4 - 4 = 0 for u.
1, 16
Solve b**5/3 - 2*b**4/3 - 4*b**3/3 + 2*b**2/3 + b = 0 for b.
-1, 0, 1, 3
Suppose -3*v**3 + 633*v**2 + 1920*v + 1284 = 0. What is v?
-2, -1, 214
Find r, given that -4*r**5/3 - 148*r**4 - 9656*r**3/3 + 146744*r**2/3 - 169580*r + 372100/3 = 0.
-61, 1, 5
Factor -4*c**2 + 168*c.
-4*c*(c - 42)
Suppose k**5/4 + k**4/2 - 33*k**3/2 - k**2 + 193*k/4 - 63/2 = 0. What is k?
-9, -2, 1, 7
Factor -5*z**2 - 730*z - 26645.
-5*(z + 73)**2
Determine z, given that 5*z**4 + 145*z**3 + 235*z**2 - 925*z + 540 = 0.
-27, -4, 1
Suppose -50*x**3 - 380*x**2 + 328*x - 336/5 = 0. Calculate x.
-42/5, 2/5
Determine r so that -2*r**3/5 + 34*r**2/5 + 66*r - 1170 = 0.
-13, 15
Solve 14*h**5 + 122*h**4 - 176*h**3 + 40*h**2 = 0.
-10, 0, 2/7, 1
Solve -2*z**4 - 30*z**3 - 76*z**2 - 48*z = 0 for z.
-12, -2, -1, 0
Factor -2*u**3 + 114*u**2 + 116*u.
-2*u*(u - 58)*(u + 1)
Let u**2/4 + 559*u/2 = 0. Calculate u.
-1118, 0
Solve 4*d**5 - 228*d**4 + 2892*d**3 + 10084*d**2 + 10560*d + 3600 = 0 for d.
-1, 30
Solve 4*t**2 + 1564*t - 3144 = 0 for t.
-393, 2
Factor x**4 + 21*x**3/2 - 11*x**2/2.
x**2*(x + 11)*(2*x - 1)/2
Let -16*k**3/5 - 292*k**2/5 - 344*k/5 - 68/5 = 0. Calculate k.
-17, -1, -1/4
Factor k**2/4 - 8*k - 17.
(k - 34)*(k + 2)/4
Factor -4*x**4 + 4*x**3 + 28*x**2 - 52*x + 24.
-4*(x - 2)*(x - 1)**2*(x + 3)
Determine k, given that -91*k**5/4 - 275*k**4/2 - 1207*k**3/4 - 286*k**2 - 103*k - 4 = 0.
-2, -1, -4/91
What is i in i**2/3 - 14*i/3 - 32/3 = 0?
-2, 16
Solve 4*o**4 + 36*o**3 - 284*o**2 - 3780*o - 9800 = 0.
-7, -5, 10
Solve -39*q**2/5 + 177*q/5 - 138/5 = 0.
1, 46/13
Find c, given that -3*c**2 + 24*c - 48 = 0.
4
What is y in y**4/3 + 452*y**3/3 + 16721*y**2 - 68856*y + 51984 = 0?
-228, 1, 3
Factor 5*j**2 - 60*j - 320.
5*(j - 16)*(j + 4)
Factor k**2/4 - 17*k/2 + 289/4.
(k - 17)**2/4
Find z such that z**4 + 32*z**3 + 133*z**2 - 2166*z = 0.
-19, 0, 6
Find k such that 25*k**3 - 515*k**2 - 760*k - 220 = 0.
-1, -2/5, 22
Determine h, given that -h**4 - 10*h**3 + 36*h**2 - 38*h + 13 = 0.
-13, 1
Factor -r**2/5 + 46*r/5 - 9.
-(r - 45)*(r - 1)/5
Factor -2*n**2/3 - 12*n + 38/3.
-2*(n - 1)*(n + 19)/3
Solve -2*d**5/3 + 24*d**4 - 200*d**3/3 + 20*d**2 + 202*d/3 - 44 = 0.
-1, 1, 2, 33
Factor 2*t**2/5 + 162*t/5 + 468/5.
2*(t + 3)*(t + 78)/5
Factor -5*r**3 + 25*r**2 - 10*r - 40.
-5*(r - 4)*(r - 2)*(r + 1)
Factor 7*t**2/2 - 26*t - 192.
(t - 12)*(7*t + 32)/2
Solve -4*l**2 - 76*l + 80 = 0 for l.
-20, 1
Factor l**3/6 + 31*l**2/6 + 85*l/2 + 75/2.
(l + 1)*(l + 15)**2/6
Factor w**4 + 238*w**3.
w**3*(w + 238)
Factor -2*a**2/7 - 64*a/7 - 270/