67, 1, 2
Find y, given that -125*y**3 + 450*y**2 + 420*y - 1960 = 0.
-2, 14/5
Suppose -2*y**3/7 - 2164*y**2/7 - 2162*y/7 = 0. What is y?
-1081, -1, 0
Factor -108*r**3 + 429*r**2 - 312*r - 9.
-3*(r - 3)*(r - 1)*(36*r + 1)
Solve 3*b**3 - 1017*b**2 - 1020*b = 0 for b.
-1, 0, 340
Let -2*l**4 + 30*l**3 - 96*l**2 - 128*l = 0. Calculate l.
-1, 0, 8
Let -6*c**5 + 1300*c**4 - 5982*c**3 + 9784*c**2 - 6792*c + 1696 = 0. Calculate c.
2/3, 1, 2, 212
Find y such that y**5/4 - y**4/2 - 29*y**3/2 - 13*y**2 + 57*y/4 + 27/2 = 0.
-6, -1, 1, 9
Find t, given that 4*t**2 + 940*t - 1896 = 0.
-237, 2
Solve -15*p**2/4 - 18741*p/4 + 5625/2 = 0.
-1250, 3/5
Factor -y**3 + 308*y**2.
-y**2*(y - 308)
Suppose -2*z**2/5 - 106*z/5 + 336/5 = 0. What is z?
-56, 3
Factor -f**2/2 - f.
-f*(f + 2)/2
Find k, given that k**3/7 + 135*k**2/7 - 552*k/7 + 556/7 = 0.
-139, 2
Let z**5 - 96*z**4 - z**3 + 96*z**2 = 0. Calculate z.
-1, 0, 1, 96
Factor -4*z**2 + 344*z + 704.
-4*(z - 88)*(z + 2)
Factor -6*f**4/5 - 204*f**3/5 - 1734*f**2/5.
-6*f**2*(f + 17)**2/5
Suppose n**5 - 28*n**3 + 54*n**2 + 27*n - 54 = 0. Calculate n.
-6, -1, 1, 3
Factor -l**2/3 + 32*l - 768.
-(l - 48)**2/3
Factor 2*i**3 - 14*i**2 - 80*i - 88.
2*(i - 11)*(i + 2)**2
Determine u so that -21*u**3/5 + 47802*u**2/5 - 5441916*u + 7770264/5 = 0.
2/7, 1138
Factor -f**2/3 - 101*f/3 + 206/3.
-(f - 2)*(f + 103)/3
Solve -4*o**4 + 104*o**3 - 276*o**2 - 5504*o - 5120 = 0 for o.
-5, -1, 16
Determine d so that d**5 - 4*d**4 + 3*d**3 = 0.
0, 1, 3
Factor -2*u**3/15 + 104*u**2/5 - 4158*u/5 + 23716/15.
-2*(u - 77)**2*(u - 2)/15
Determine r, given that -4*r**4 - 20*r**3 + 4*r**2 + 20*r = 0.
-5, -1, 0, 1
Determine n so that -n**4 + 33*n**3 - 93*n**2 + 91*n - 30 = 0.
1, 30
Let -9*a**5/8 - 1155*a**4/4 - 73329*a**3/4 + 50889*a**2/2 + 248067*a/8 - 49923/4 = 0. What is a?
-129, -1, 1/3, 2
Let -z**2/4 + 1597*z - 2550409 = 0. What is z?
3194
Factor 2*c**2/7 + 104*c/7 + 1352/7.
2*(c + 26)**2/7
Determine k, given that -15*k**2/8 - 87*k/2 + 36 = 0.
-24, 4/5
What is v in -5*v**5 - 30*v**4 - 65*v**3 - 60*v**2 - 20*v = 0?
-2, -1, 0
Suppose -4*c**4/7 - 20*c**3/7 + 60*c**2/7 + 20*c/7 - 8 = 0. What is c?
-7, -1, 1, 2
Factor -i**3/4 + 3*i**2/4 + 3*i/2 - 2.
-(i - 4)*(i - 1)*(i + 2)/4
Factor -4*q**5 - 288*q**4 - 6276*q**3 - 24440*q**2 + 348816*q - 632736.
-4*(q - 3)**2*(q + 26)**3
Determine u, given that -u**2/6 - 11*u/3 - 20/3 = 0.
-20, -2
Factor -3*l**2/5 + 144*l/5 - 1728/5.
-3*(l - 24)**2/5
Factor 4*b**4/3 - 4*b**3 - 16*b**2 + 80*b/3 + 64.
4*(b - 4)*(b - 3)*(b + 2)**2/3
Factor 2*x**2/7 + 18*x/7 + 16/7.
2*(x + 1)*(x + 8)/7
Determine v so that 8*v**4/9 - 16*v**3/3 - 2*v**2/3 + 38*v/9 - 4/3 = 0.
-1, 1/2, 6
What is p in -3*p**5 - 6*p**4 + 45*p**3 + 60*p**2 - 132*p - 144 = 0?
-4, -2, -1, 2, 3
Solve 4*a**4 - 388*a**3/5 - 668*a**2/5 - 92*a/5 + 168/5 = 0 for a.
-1, 2/5, 21
Factor m**5 - 4*m**4 + 2*m**3 + 4*m**2 - 3*m.
m*(m - 3)*(m - 1)**2*(m + 1)
Find u, given that -10*u**4 - 57*u**3/2 - 51*u**2/2 - 11*u/2 + 3/2 = 0.
-1, 3/20
Factor -t**5/3 + 161*t**4/3 - 6235*t**3/3 - 19681*t**2/3 - 20008*t/3 - 6724/3.
-(t - 82)**2*(t + 1)**3/3
Factor -4*g**2 - 68*g - 120.
-4*(g + 2)*(g + 15)
Factor n**3/4 + 31*n**2/4 + 43*n/2 + 14.
(n + 1)*(n + 2)*(n + 28)/4
Let u**3/6 - 2*u**2/3 + 2*u/3 = 0. What is u?
0, 2
Solve 3*n**3 + 18*n**2 + 27*n = 0.
-3, 0
Factor 4*c**3 - 1092*c**2 + 99372*c - 3014284.
4*(c - 91)**3
Factor i**3 - 40*i**2 - 703*i + 742.
(i - 53)*(i - 1)*(i + 14)
Solve -5*v**4 + 15*v**3 + 30*v**2 - 140*v + 120 = 0.
-3, 2
Suppose 3*l**5 - 2*l**4 - 10*l**3 + 7*l + 2 = 0. Calculate l.
-1, -1/3, 1, 2
Solve 2*j**5/5 + 2*j**4 = 0.
-5, 0
Factor c**2/10 - 63*c/10 + 418/5.
(c - 44)*(c - 19)/10
Let 4*p**2 - 5728*p = 0. Calculate p.
0, 1432
Factor 2*s**3 - 70*s**2 - 154*s + 222.
2*(s - 37)*(s - 1)*(s + 3)
Determine s so that s**4/5 - 48*s**3/5 + 105*s**2 + 250*s = 0.
-2, 0, 25
Suppose -3*m**3 - 51*m**2 - 198*m = 0. Calculate m.
-11, -6, 0
Factor -5*j**2 + 45.
-5*(j - 3)*(j + 3)
Let -o**5 - 224*o**4 - 441*o**3 + 670*o**2 + 884*o - 888 = 0. What is o?
-222, -2, 1
Factor 3*b**2 - 72*b/5 - 108/5.
3*(b - 6)*(5*b + 6)/5
Factor 2*t**3/7 - 34*t**2/7 - 324*t/7 - 288/7.
2*(t - 24)*(t + 1)*(t + 6)/7
Determine h, given that -h**3/7 + 129*h**2/7 - 5547*h/7 + 79507/7 = 0.
43
Factor n**3/4 + 23*n**2/4 + 44*n + 112.
(n + 7)*(n + 8)**2/4
Factor a**2/3 + 5*a/3 - 8.
(a - 3)*(a + 8)/3
Suppose -2*z**2/9 + 14*z/3 + 464/9 = 0. Calculate z.
-8, 29
Let -r**2/4 + 2059*r/2 - 4239481/4 = 0. What is r?
2059
Factor 5*z**3 + 145*z**2 + 1120*z + 980.
5*(z + 1)*(z + 14)**2
Solve 5*f**3/4 + 47*f**2/4 + 59*f/2 + 10 = 0.
-5, -4, -2/5
Factor a**4 + 9*a**3 + 22*a**2 - 32.
(a - 1)*(a + 2)*(a + 4)**2
Suppose -r**2/4 + 3*r + 13/4 = 0. Calculate r.
-1, 13
Factor 6*u**4/5 + 2*u**3 + 2*u**2/5 - 2*u/5.
2*u*(u + 1)**2*(3*u - 1)/5
Factor -5*x**3 + 25*x**2 - 30*x.
-5*x*(x - 3)*(x - 2)
Factor -z**5/4 + 7*z**4/2 - 9*z**3/2 - 37*z**2 - 181*z/4 - 33/2.
-(z - 11)*(z - 6)*(z + 1)**3/4
Factor 2*g**2/21 + 22*g/21 + 12/7.
2*(g + 2)*(g + 9)/21
What is u in 85*u**2 + 45*u = 0?
-9/17, 0
Factor -4*j**3/3 + 28*j**2/3 + 520*j/3 + 896/3.
-4*(j - 16)*(j + 2)*(j + 7)/3
Find i, given that -2*i**2/5 + 56*i/5 - 78 = 0.
13, 15
Factor -3*z**3/7 - 51*z**2/7 + 114*z/7.
-3*z*(z - 2)*(z + 19)/7
Factor -5*g**2 - 290*g - 4205.
-5*(g + 29)**2
Factor 2*i**4/11 - 108*i**3/11 - 336*i**2/11 - 340*i/11 - 114/11.
2*(i - 57)*(i + 1)**3/11
Determine p so that -p**3 - 2*p**2 - p = 0.
-1, 0
Solve 5*o**5 - 1715*o**4 + 140915*o**3 + 1057795*o**2 + 1253000*o - 2450000 = 0.
-4, 1, 175
Let x**5 + 112*x**4 + 3022*x**3 - 6384*x**2 + 3249*x = 0. What is x?
-57, 0, 1
Factor k**2 + 3*k - 4.
(k - 1)*(k + 4)
Let -5*g**2 + 16*g - 3 = 0. Calculate g.
1/5, 3
Factor 2*s**4/5 - 156*s**3/5 + 154*s**2/5.
2*s**2*(s - 77)*(s - 1)/5
Suppose -4*t**5/7 + 18*t**4/7 - 4*t**3 + 18*t**2/7 - 4*t/7 = 0. What is t?
0, 1/2, 1, 2
Factor -2*o**4/5 + 24*o**3 - 672*o**2/5 + 1312*o/5 - 864/5.
-2*(o - 54)*(o - 2)**3/5
Factor -2*l**3/9 + 4*l**2/9 + 18*l - 36.
-2*(l - 9)*(l - 2)*(l + 9)/9
Find x, given that x**5 + 5*x**4 - 6*x**3 - 38*x**2 - 43*x - 15 = 0.
-5, -1, 3
Find s such that -s**5/4 + 5*s**4/4 + 12*s**3 + 7*s**2 - 20*s = 0.
-4, -2, 0, 1, 10
Factor -2*p**2/17 + 5292*p/17 - 5290/17.
-2*(p - 2645)*(p - 1)/17
Determine b, given that 2*b**2/7 - 678*b/7 + 676/7 = 0.
1, 338
Find r such that -2*r**3/13 + 32*r**2 + 840*r/13 = 0.
-2, 0, 210
Factor -2*r**3 + 1296*r**2 - 208650*r - 422500.
-2*(r - 325)**2*(r + 2)
Find p, given that -5*p**3 + 20*p**2 - 20*p = 0.
0, 2
Let -x**4/8 + 2805*x**3/8 - 1312737*x**2/4 + 205657927*x/2 - 305542689 = 0. Calculate x.
3, 934
Solve -2*t**4/13 - 10*t**3/13 + 14*t**2/13 + 82*t/13 + 60/13 = 0.
-5, -2, -1, 3
Find w, given that -4*w**5 - 52*w**4 - 172*w**3 + 84*w**2 + 576*w - 432 = 0.
-6, -3, 1
Factor 3*u**2/4 - 12273*u/4 + 6135/2.
3*(u - 4090)*(u - 1)/4
What is i in -27*i**3/2 + 51*i**2/4 + 3*i/4 = 0?
-1/18, 0, 1
Factor j**4/2 - 3*j**3 - 3*j**2/2 + 10*j - 6.
(j - 6)*(j - 1)**2*(j + 2)/2
Solve 24*i**3 + 165*i**2 + 123*i - 18 = 0.
-6, -1, 1/8
Let -5*f**4 - 60*f**3 + 145*f**2 + 60*f - 140 = 0. What is f?
-14, -1, 1, 2
Determine n, given that -28*n**3 + 440*n**2 + 604*n + 136 = 0.
-1, -2/7, 17
Let -10*q**5/19 - 52*q**4/19 + 210*q**3/19 + 604*q**2/19 + 112*q/19 = 0. What is q?
-7, -2, -1/5, 0, 4
Suppose 2*x**5/15 + 34*x**4/15 + 14*x**3/15 - 102*x**2/5 - 96*x/5 = 0. What is x?
-16, -3, -1, 0, 3
Factor -2*o**2 - 42*o - 108.
-2*(o + 3)*(o + 18)
Determine h so that 4*h**5 + 48*h**4 + 176*h**3 + 152*h**2 - 180*h - 200 = 0.
-5, -2, -1, 1
Suppose g**5/3 - 5*g**4/3 + 4*g**3/3 = 0. What is g?
0, 1, 4
Let -5*r**4 - 10*r**3 + 100*r**2 + 330*r + 225 = 0. What is r?
-3, -1, 5
Let -4*x**3 - 2188*x**2 - 302464*x - 887808 = 0. Calculate x.
-272, -3
Factor 4*v**4 + 116*v**3.
4*v**3*(v + 29)
What is q in -15*q**4 - 231*q**3 - 840*q**2 - 300*q = 0?
-10, -5, -2/5, 0
Determine n, given that n**3 - 640*n**2 + 1907*n + 2548 = 0.
-1, 4, 637
Factor -3*g**3/2 - 283*g**2/2 + 95*g.
-g*(g + 95)*(3*g - 2)/2
Factor -a**3/5 - 24*a**2/5 + 108*a/5 - 112/5.
-(a - 2)**2*(a + 28)/5
What is d in -2*d**2/5 - 122*d/5 + 384/5 = 0?
-64, 3
Factor m**3/4 + 95*m**2/4.
m**2*(m + 95)/4
Determine t so that -2*t**3/7 - 14*t**2 - 96*t/7 = 0.
-48, -1, 0
Factor 24*m**5 + 20*m**4 - 4*m**3.
4*m**3*(m + 1)*(6*m - 1)
Factor i**2/3 + 142*i/3 