6*v**2/13 = 0.
0, 1, 3
Factor 2*m**4/17 - 196*m**3/17 + 576*m**2/17 - 572*m/17 + 190/17.
2*(m - 95)*(m - 1)**3/17
Determine g so that -2*g**3/3 - 16*g**2/3 - 26*g/3 - 4 = 0.
-6, -1
Determine u, given that -4*u**4 + 299*u**3 - 7425*u**2 + 60625*u + 15625 = 0.
-1/4, 25
Factor y**4/4 - 13*y**3/4 - y**2/4 + 13*y/4.
y*(y - 13)*(y - 1)*(y + 1)/4
Suppose 2*j**3 - 304*j**2 - 4550*j - 16268 = 0. What is j?
-7, 166
Factor -h**3 + 96*h**2 + 99*h - 194.
-(h - 97)*(h - 1)*(h + 2)
Let 2*f**3 + 524*f**2 + 34322*f = 0. Calculate f.
-131, 0
Suppose 6*i**2/7 + 870*i/7 - 252 = 0. What is i?
-147, 2
Factor 2*c**3/3 + 6*c**2 + 4*c - 32/3.
2*(c - 1)*(c + 2)*(c + 8)/3
Determine n so that 2*n**2 + 32*n + 78 = 0.
-13, -3
Find c such that 4*c**3/7 - 176*c**2/7 + 640*c/7 = 0.
0, 4, 40
Find w, given that -2*w**5 - 22*w**4 - 50*w**3 + 62*w**2 + 124*w - 112 = 0.
-7, -4, -2, 1
Factor -2*v**5/19 + 2*v**4/19 + 4*v**3/19.
-2*v**3*(v - 2)*(v + 1)/19
Factor 3*c**5 + 477*c**4 + 2337*c**3 + 4179*c**2 + 3240*c + 924.
3*(c + 1)**3*(c + 2)*(c + 154)
Determine c, given that 4*c**5 - 180*c**4 + 2112*c**3 - 1936*c**2 = 0.
0, 1, 22
Factor -2*b**3/13 - 6*b**2/13 + 2*b/13 + 6/13.
-2*(b - 1)*(b + 1)*(b + 3)/13
Let 5*h**4 + 45*h**3 + 120*h**2 + 100*h = 0. Calculate h.
-5, -2, 0
What is c in 2*c**3/7 + 1044*c**2/7 + 181656*c/7 + 10536048/7 = 0?
-174
Let -12*z**5/11 - 74*z**4/11 + 360*z**3/11 + 494*z**2/11 + 72*z/11 = 0. Calculate z.
-9, -1, -1/6, 0, 4
Factor -4*m**5 - 20*m**4 - 28*m**3 - 12*m**2.
-4*m**2*(m + 1)**2*(m + 3)
Determine s so that s**3/8 - 3*s**2/8 - 25*s/2 - 12 = 0.
-8, -1, 12
Factor x**4 + 10*x**3 + 32*x**2 + 38*x + 15.
(x + 1)**2*(x + 3)*(x + 5)
Factor -f**2/6 + f/6 + 2.
-(f - 4)*(f + 3)/6
Find w such that 25*w**4 - 330*w**3 - 760*w**2 + 1290*w - 225 = 0.
-3, 1/5, 1, 15
Suppose o**4/5 + 17*o**3/5 + 12*o**2/5 - 68*o/5 - 64/5 = 0. What is o?
-16, -2, -1, 2
Suppose -2*b**4/7 - 36*b**3/7 - 18*b**2/7 + 1296*b/7 - 2592/7 = 0. What is b?
-12, 3
Suppose -196*w**5 + 36960*w**4 - 20876*w**3 - 33952*w**2 + 21072*w - 3008 = 0. What is w?
-1, 2/7, 1, 188
Factor -2*q**5 - 4*q**4 + 14*q**3 - 8*q**2.
-2*q**2*(q - 1)**2*(q + 4)
Let o**3/2 + 631*o**2/2 + 99855*o/2 + 99225/2 = 0. What is o?
-315, -1
Factor 4*j**2/5 + 1552*j/5 + 150544/5.
4*(j + 194)**2/5
Factor -2*l**3 + 53*l**2 + 83*l + 28.
-(l - 28)*(l + 1)*(2*l + 1)
Factor 2*c**2 + 8176*c + 8355872.
2*(c + 2044)**2
Let -75*j**4 + 580*j**3 - 145*j**2 - 580*j + 220 = 0. Calculate j.
-1, 2/5, 1, 22/3
Determine i, given that 8*i**5 - 50*i**4 + 52*i**3 + 86*i**2 - 24*i = 0.
-1, 0, 1/4, 3, 4
Factor 2*t**2 - 86*t + 84.
2*(t - 42)*(t - 1)
Determine r so that -4*r**4/3 - 22*r**3/3 - 26*r**2/3 - 8*r/3 = 0.
-4, -1, -1/2, 0
Suppose -5*h**4 - 55*h**3 + 275*h**2 - 365*h + 150 = 0. Calculate h.
-15, 1, 2
Find w such that w**2 - 13*w/3 = 0.
0, 13/3
Factor -21*c**3/5 - 48*c**2 + 756*c/5.
-3*c*(c + 14)*(7*c - 18)/5
Solve -2*z**4/11 - 58*z**3/11 - 156*z**2/11 + 8*z/11 + 208/11 = 0 for z.
-26, -2, 1
Find c such that -28*c**3/9 - 13540*c**2/3 + 52264*c/9 - 3872/3 = 0.
-1452, 2/7, 1
Determine k so that -5*k**2 + 70*k = 0.
0, 14
Let -r**2 + 725*r + 3650 = 0. What is r?
-5, 730
Factor 2*a**3/5 - 42*a**2/5 - 48*a/5 + 88/5.
2*(a - 22)*(a - 1)*(a + 2)/5
Determine l, given that 4*l**2/3 + 212*l/3 - 1040 = 0.
-65, 12
Solve 3*p**2/5 + 123*p/5 - 2106/5 = 0 for p.
-54, 13
Factor 250*b**2/7 - 101*b/7 - 12/7.
(2*b - 1)*(125*b + 12)/7
Factor 2*u**5/11 - 278*u**4/11 + 9520*u**3/11 + 9800*u**2/11.
2*u**2*(u - 70)**2*(u + 1)/11
Factor 213*i**2 - 219*i + 6.
3*(i - 1)*(71*i - 2)
Suppose 4*x**3 - 30*x**2 + 62*x - 24 = 0. What is x?
1/2, 3, 4
Let h**4/2 - 12379*h**3/3 + 25544066*h**2/3 - 17023876*h/3 = 0. Calculate h.
0, 2/3, 4126
Factor -r**2/9 + 352*r/9 - 30976/9.
-(r - 176)**2/9
Factor 4*u**5/7 + 72*u**4/7 - 1104*u**3/7 - 3040*u**2 + 10752*u + 225792.
4*(u - 12)**2*(u + 14)**3/7
Solve 4*d**3/7 - 944*d**2/7 + 7820*d + 16184 = 0.
-2, 119
Factor 9*k**3 - 4*k**2 - 144*k + 64.
(k - 4)*(k + 4)*(9*k - 4)
Factor 2*k**3/13 - 2*k**2 + 28*k/13 + 176/13.
2*(k - 11)*(k - 4)*(k + 2)/13
Find s, given that -2*s**2/9 + 20*s/3 - 58/9 = 0.
1, 29
Determine g, given that 32*g**5/3 - 5392*g**4/3 - 2728*g**3/3 + 4036*g**2/3 + 3376*g/3 + 676/3 = 0.
-1/2, 1, 169
Factor t**5/2 - 41*t**4/2 + 77*t**3 - 113*t**2 + 149*t/2 - 37/2.
(t - 37)*(t - 1)**4/2
What is x in x**3 + 8*x**2 + 13*x + 6 = 0?
-6, -1
Factor -2*x**3 + 24*x**2 - 58*x + 36.
-2*(x - 9)*(x - 2)*(x - 1)
Determine x, given that 5*x**4/3 + x**3 - 7*x**2/3 - x + 2/3 = 0.
-1, 2/5, 1
Solve -2*h**5/3 - 220*h**4/21 + 106*h**3/21 + 632*h**2/21 - 632*h/21 + 128/21 = 0 for h.
-16, -2, 2/7, 1
Find p such that -2*p**2/5 - 32*p/5 + 72/5 = 0.
-18, 2
Factor -7*g**2/2 + 622*g + 178.
-(g - 178)*(7*g + 2)/2
Find d, given that d**4 - 6*d**3 - 47*d**2 - 84*d - 44 = 0.
-2, -1, 11
Solve 2*u**3 - 14*u + 12 = 0 for u.
-3, 1, 2
Factor 2*w**2/9 - 28*w/3 + 48.
2*(w - 36)*(w - 6)/9
Factor -l**2/2 + 2163*l - 4678569/2.
-(l - 2163)**2/2
Solve -6*k**5 + 10*k**4 - 4*k**3 = 0 for k.
0, 2/3, 1
Suppose -v**2 + 154*v + 155 = 0. Calculate v.
-1, 155
Factor -80*d**2 - 24*d - 9/5.
-(20*d + 3)**2/5
Determine y, given that 4*y**3 - 79*y**2 + 376*y + 99 = 0.
-1/4, 9, 11
Factor -2*u**3/9 + 26*u**2/9 + 28*u/9.
-2*u*(u - 14)*(u + 1)/9
Factor b**2 - 35*b + 174.
(b - 29)*(b - 6)
Factor -2*m**3/3 - 10*m**2 - 8*m + 56/3.
-2*(m - 1)*(m + 2)*(m + 14)/3
Solve -3*y**5 + 18*y**3 + 24*y**2 + 9*y = 0.
-1, 0, 3
What is l in l**4/3 + 4*l**3 + 35*l**2/3 + 8*l = 0?
-8, -3, -1, 0
Solve -4*n**5 + 48*n**4 - 140*n**3 + 96*n**2 = 0.
0, 1, 3, 8
Solve 4*v**2 + 224*v + 1020 = 0 for v.
-51, -5
What is o in -6*o**5/11 + 14*o**4/11 + 426*o**3/11 + 1458*o**2/11 + 1580*o/11 + 48 = 0?
-4, -3, -1, -2/3, 11
Factor z**4/2 + 3*z**3/4 - 2*z**2 + 3*z/4.
z*(z - 1)*(z + 3)*(2*z - 1)/4
Factor -o**3/5 - 73*o**2/10 - 67*o/10 + 71/5.
-(o - 1)*(o + 2)*(2*o + 71)/10
Factor 3*b**5/8 - 3*b**4/2 - 3*b**3/4 + 9*b**2/2 + 27*b/8.
3*b*(b - 3)**2*(b + 1)**2/8
Determine y so that -12*y**4 - 400*y**3 - 1444*y**2 + 1856*y = 0.
-29, -16/3, 0, 1
Find w such that 3430*w**5 + 245*w**4 - 9345*w**3 - 3510*w**2 + 5940*w + 3240 = 0.
-6/7, 1, 3/2
Factor 5*j**2 - 70*j + 200.
5*(j - 10)*(j - 4)
Solve 432*d**5 - 429*d**4 - 435*d**3 + 429*d**2 + 3*d = 0 for d.
-1, -1/144, 0, 1
Factor 2*r**3 + 208*r**2 + 598*r - 808.
2*(r - 1)*(r + 4)*(r + 101)
Determine c, given that -c**5 - 28*c**4 + 115*c**3 + 4702*c**2 - 19488*c - 56448 = 0.
-21, -2, 8
Factor -k**3 - 18*k**2 + 43*k + 60.
-(k - 3)*(k + 1)*(k + 20)
Factor -3*n**3/7 - 195*n**2/7 - 3069*n/7 + 3267/7.
-3*(n - 1)*(n + 33)**2/7
Find r such that -3*r**4 - 15*r**3 - 3*r**2 + 63*r + 54 = 0.
-3, -1, 2
Suppose 4*u**2/3 - 288*u - 1744/3 = 0. Calculate u.
-2, 218
Factor 2*s**4/3 - 32*s**3 - 410*s**2/3 - 104*s.
2*s*(s - 52)*(s + 1)*(s + 3)/3
Suppose -l**4 + 52*l**3 + 108*l**2 = 0. What is l?
-2, 0, 54
Let -2*k**5/11 + 20*k**4/11 + 72*k**3/11 + 76*k**2/11 + 26*k/11 = 0. What is k?
-1, 0, 13
Factor 49*y**4 + 91308*y**3 + 42510388*y**2 - 24314016*y + 3474496.
(y + 932)**2*(7*y - 2)**2
Factor 4*t**4 + 368*t**3 + 7288*t**2 - 54096*t + 86436.
4*(t - 3)**2*(t + 49)**2
Factor -2*c**4 + 114*c**3 - 1680*c**2 + 1568*c.
-2*c*(c - 28)**2*(c - 1)
What is u in 32448*u**3 - 326560*u**2 + 62500*u/3 - 1000/3 = 0?
5/156, 10
Solve 2*w**2/9 + 104*w = 0.
-468, 0
Solve r**2/11 + 26*r + 1405/11 = 0.
-281, -5
Factor -m**3/3 + 20*m**2 + 179*m + 476/3.
-(m - 68)*(m + 1)*(m + 7)/3
Factor p**2 - 1425*p - 1426.
(p - 1426)*(p + 1)
Determine h so that -10*h**5 + 12955*h**4 - 6475*h**3 = 0.
0, 1/2, 1295
Suppose 2*v**3/7 + 24*v**2/7 + 6*v - 28 = 0. Calculate v.
-7, 2
Let 136*k**2/3 + 6*k - 4/3 = 0. Calculate k.
-1/4, 2/17
Factor v**5 - 4*v**4 + v**3 + 14*v**2 - 20*v + 8.
(v - 2)**2*(v - 1)**2*(v + 2)
Factor -5*q**2/2 - 95*q + 195/2.
-5*(q - 1)*(q + 39)/2
Factor 2*s**3 + 50*s**2 - 106*s + 54.
2*(s - 1)**2*(s + 27)
What is u in -u**2 - 468*u - 54756 = 0?
-234
Factor -h**2/2 - 21*h/2 - 19.
-(h + 2)*(h + 19)/2
Factor t**2 + 311*t - 312.
(t - 1)*(t + 312)
Factor -4*w**2 - 3036*w.
-4*w*(w + 759)
Factor 2*n**5 + 8*n**4 - 22*n**3 - 132*n**2 - 144*n.
2*n*(n - 4)*(n + 2)*(n + 3)**2
Solve -4*p**3 - 912*p**2 - 908*p = 0 for p.
-227, -1, 0
Suppose x**2/2 - 347*x/2 - 174 = 0. Calculate x.
-1, 348
Factor h**2 + 1558*h + 606841.
(h + 779)**2
Factor -3*r**4 + 54*r**