 3/8
Find a such that 5*a**5 + 35*a**4 + 75*a**3 + 25*a**2 - 80*a - 60 = 0.
-3, -2, -1, 1
Factor 10*j**4 - 1246*j**3 + 37926*j**2 + 55566*j.
2*j*(j - 63)**2*(5*j + 7)
Let 9*p**3/2 - 21*p**2/2 - 27*p - 12 = 0. Calculate p.
-1, -2/3, 4
Factor u**2/7 - 22*u/7 + 121/7.
(u - 11)**2/7
Suppose 4*i**4/7 + 128*i**3/7 + 1144*i**2/7 + 1920*i/7 + 900/7 = 0. What is i?
-15, -1
Factor -g**3 - 18*g**2 + 61*g - 42.
-(g - 2)*(g - 1)*(g + 21)
Factor -3*q**3 + 6*q**2 + 21*q + 12.
-3*(q - 4)*(q + 1)**2
Solve 2*x**4 + 16*x**3 + 14*x**2 = 0 for x.
-7, -1, 0
Let -20*u**5 + 92*u**4 + 680*u**3 + 976*u**2 + 288*u = 0. Calculate u.
-2, -2/5, 0, 9
Solve -2*s**5/7 - 36*s**4/7 - 240*s**3/7 - 736*s**2/7 - 1056*s/7 - 576/7 = 0 for s.
-6, -2
Factor 3*w**2/2 - 8*w - 6.
(w - 6)*(3*w + 2)/2
What is x in -x**5/2 - 67*x**4 - 2375*x**3 - 8776*x**2 - 21385*x/2 - 4225 = 0?
-65, -2, -1
Factor n**5/9 - 13*n**4/9 + 6*n**3 - 94*n**2/9 + 73*n/9 - 7/3.
(n - 7)*(n - 3)*(n - 1)**3/9
Factor -g**4/4 + 71*g**3/4 - 1295*g**2/4 + 1225*g/4.
-g*(g - 35)**2*(g - 1)/4
Factor 2*b**3 - 42*b - 40.
2*(b - 5)*(b + 1)*(b + 4)
Solve 2*c**4 - 26*c**3 + 34*c**2 + 314*c + 252 = 0 for c.
-2, -1, 7, 9
Solve 18*j**2 + 17*j - 1 = 0.
-1, 1/18
Solve -2*m**4/11 - 2*m**3/11 + 4*m**2/11 = 0.
-2, 0, 1
Factor k**3/5 + 78*k**2/5 - 159*k/5 + 16.
(k - 1)**2*(k + 80)/5
Let -3*k**4/8 - 57*k**3/4 - 81*k**2/2 - 159*k/4 - 105/8 = 0. What is k?
-35, -1
Factor 5*u**4 + 5*u**3 - 20*u**2 - 20*u.
5*u*(u - 2)*(u + 1)*(u + 2)
Factor -i**4/3 + i**3/3 + 4*i**2/3 - 4*i/3.
-i*(i - 2)*(i - 1)*(i + 2)/3
Solve 5*s**3/2 - 10405*s**2 - 41635*s/2 - 10410 = 0.
-1, 4164
Factor d**2/3 + 199*d/3.
d*(d + 199)/3
What is f in -f**2/3 + 99*f - 296/3 = 0?
1, 296
Let 3*r**3 + 21*r**2 - 144*r - 540 = 0. Calculate r.
-10, -3, 6
Factor k**2/5 - 6*k/5 + 9/5.
(k - 3)**2/5
Let -2*x**5 + 10*x**4 + 88*x**3 + 120*x**2 = 0. What is x?
-3, -2, 0, 10
Determine u, given that -24*u**3 - 177*u**2 + 426*u - 225 = 0.
-75/8, 1
Suppose 2*d**4/7 - 94*d**3/7 + 228*d**2 - 1624*d + 3920 = 0. Calculate d.
5, 14
Factor -5*d**3 - 285*d**2 - 820*d - 540.
-5*(d + 1)*(d + 2)*(d + 54)
Factor t**5 - 161*t**4 + 477*t**3 - 475*t**2 + 158*t.
t*(t - 158)*(t - 1)**3
Factor -2*s**2/3 - 848*s - 269664.
-2*(s + 636)**2/3
Factor -4*t**2 + 348*t - 2240.
-4*(t - 80)*(t - 7)
Factor 84*u**4 + 141*u**3 - 708*u**2/7 + 108*u/7.
3*u*(4*u + 9)*(7*u - 2)**2/7
Suppose t**2 + 6878*t + 11826721 = 0. What is t?
-3439
Factor 3*y**3/5 + 219*y**2 + 98256*y/5 - 304704/5.
3*(y - 3)*(y + 184)**2/5
Suppose -4*k**4 + 8*k**3 + 572*k**2 - 576*k - 20736 = 0. Calculate k.
-8, 9
What is l in 44*l**3 + 1768*l**2 + 17920*l + 3200 = 0?
-20, -2/11
Suppose -m**3/2 + 7*m**2 - 25*m/2 + 6 = 0. Calculate m.
1, 12
Factor -2*l**3 + 3*l/2 - 1/2.
-(l + 1)*(2*l - 1)**2/2
Find k such that -2*k**2/11 + 54*k/11 - 52/11 = 0.
1, 26
Factor 2*r**3 - 384*r**2 + 760*r.
2*r*(r - 190)*(r - 2)
Factor -2*j**2/13 - 458*j/13 - 1356/13.
-2*(j + 3)*(j + 226)/13
Find y, given that -3*y**5/2 + y**4 + 8*y**3 + 7*y**2 + 3*y/2 = 0.
-1, -1/3, 0, 3
Let o**3/3 - 85*o**2/3 + 1672*o/3 + 1936 = 0. Calculate o.
-3, 44
Suppose n**2/9 - 14*n/9 + 49/9 = 0. Calculate n.
7
Factor 3*c**5 + 39*c**4 + 174*c**3 + 318*c**2 + 255*c + 75.
3*(c + 1)**3*(c + 5)**2
Suppose -2*p**4/5 - 22*p**3/5 + 22*p**2 - 146*p/5 + 12 = 0. Calculate p.
-15, 1, 2
Factor -2*n**2/5 + 146*n/5 + 60.
-2*(n - 75)*(n + 2)/5
Factor -4*j**3 - 1760*j**2.
-4*j**2*(j + 440)
Let -4*f**2/3 + 688*f/3 - 228 = 0. Calculate f.
1, 171
Suppose -3*z**4/4 + 33*z**3/4 - 99*z**2/4 + 111*z/4 - 21/2 = 0. What is z?
1, 2, 7
Factor -2*g**3/9 + 136*g**2/9 - 920*g/3 + 1600.
-2*(g - 30)**2*(g - 8)/9
Find w, given that -12*w**5 - 28*w**4 + 76*w**3 - 20*w**2 - 16*w = 0.
-4, -1/3, 0, 1
Suppose -2*y**5 - 10*y**4 + 94*y**3 - 70*y**2 - 92*y + 80 = 0. What is y?
-10, -1, 1, 4
Factor -3*o**2 + 876*o - 63948.
-3*(o - 146)**2
Factor -j**4/2 - 6*j**3 + 93*j**2/2 + 44*j - 408.
-(j - 4)**2*(j + 3)*(j + 17)/2
Determine p so that -p**2/3 + 5*p + 286/3 = 0.
-11, 26
Suppose -3*i**2/5 - 129*i/5 + 54 = 0. Calculate i.
-45, 2
Suppose -4*y**3 - 24*y**2 - 44*y - 24 = 0. What is y?
-3, -2, -1
Determine l so that -l**2/4 - 31*l - 61 = 0.
-122, -2
Find u such that u**3 - 131*u**2 + 4355*u - 4225 = 0.
1, 65
Factor -d**4/5 + 2*d**3/5 + 3*d**2/5.
-d**2*(d - 3)*(d + 1)/5
Factor -28*m**4/9 + 8*m**3/9.
-4*m**3*(7*m - 2)/9
Solve g**4/5 + 3*g**3/5 - 13*g**2/5 - 3*g = 0 for g.
-5, -1, 0, 3
Solve c**3/4 + 15*c**2/4 + 31*c/2 + 12 = 0 for c.
-8, -6, -1
Solve -p**3 - 11*p**2 - 28*p = 0.
-7, -4, 0
Factor -h**3/10 - 17*h**2/5 - 209*h/10 + 722/5.
-(h - 4)*(h + 19)**2/10
Solve 3*l**2 + 231*l - 2322 = 0 for l.
-86, 9
Determine w so that 3*w**4/4 + 105*w**3/2 + 3459*w**2/4 - 1890*w + 972 = 0.
-36, 1
Factor 215*i**2 - 220*i + 5.
5*(i - 1)*(43*i - 1)
Factor -2*x**4 + 12*x**3 - 8*x**2 - 12*x + 10.
-2*(x - 5)*(x - 1)**2*(x + 1)
Find y such that -y**2/2 - 913*y - 833569/2 = 0.
-913
Factor k**4 - 5*k**3 - 13*k**2 - 7*k.
k*(k - 7)*(k + 1)**2
Let 26*l**2 - 178*l - 28 = 0. Calculate l.
-2/13, 7
Find p, given that -2*p**2 - 14*p - 20 = 0.
-5, -2
Factor -3*q**2 + 90*q - 87.
-3*(q - 29)*(q - 1)
Suppose 3*k**5/2 + 681*k**4/2 - 693*k**3/2 - 2049*k**2/2 + 345*k + 684 = 0. Calculate k.
-228, -1, 1, 2
Factor -5*l**2 - 2505*l + 2510.
-5*(l - 1)*(l + 502)
Factor 2*j**4 - 1438*j**3 + 257760*j**2 + 259200*j.
2*j*(j - 360)**2*(j + 1)
Suppose 3*h**4/4 - 27*h**3/4 - 3*h**2/4 + 27*h/4 = 0. Calculate h.
-1, 0, 1, 9
Determine j so that 48*j**2 + 24*j + 3 = 0.
-1/4
Solve 2*t**2/3 + 2*t/3 = 0 for t.
-1, 0
Factor 3*f**2 + 33*f - 36.
3*(f - 1)*(f + 12)
Factor -2*r**2 + 4*r + 16.
-2*(r - 4)*(r + 2)
Factor 5*u**5/4 + 307*u**4/2 + 14043*u**3/2 + 140306*u**2 + 3902621*u/4 - 2770563/2.
(u + 31)**4*(5*u - 6)/4
Factor 5*b**4 - 75*b**3 + 240*b**2 + 320*b.
5*b*(b - 8)**2*(b + 1)
Factor o**5/3 + 5*o**4/3 + o**3 - 5*o**2/3 - 4*o/3.
o*(o - 1)*(o + 1)**2*(o + 4)/3
Factor n**2 + 8*n - 9.
(n - 1)*(n + 9)
Solve -f**3 + 344*f**2 - 685*f + 342 = 0 for f.
1, 342
Factor 3*b**2 - 108*b + 972.
3*(b - 18)**2
Suppose 4*i**2 + 12216*i - 12220 = 0. What is i?
-3055, 1
Factor b**4/3 + b**3/3 - 8*b**2/3 - 4*b.
b*(b - 3)*(b + 2)**2/3
Determine j, given that -6*j**4/5 + 56*j**3/5 - 62*j**2/5 - 4*j + 32/5 = 0.
-2/3, 1, 8
Suppose w**4/2 - 20*w**3 + 55*w**2 + 20*w - 111/2 = 0. Calculate w.
-1, 1, 3, 37
What is l in -3*l**2/7 + 123*l - 858/7 = 0?
1, 286
Factor 5*o**2 - 6280*o + 1971920.
5*(o - 628)**2
Factor -k**4/3 + 2*k**3/3 + 7*k**2/3 + 4*k/3.
-k*(k - 4)*(k + 1)**2/3
Solve 3*z**4 + 72*z**3 + 642*z**2 + 2520*z + 3675 = 0.
-7, -5
Find q, given that -4*q**4 - 44*q**3 - 56*q**2 + 176*q + 288 = 0.
-9, -2, 2
Factor -2*c**2/3 + 1104*c - 457056.
-2*(c - 828)**2/3
Suppose s**5/6 - 5*s**4/2 = 0. What is s?
0, 15
Factor b**2/5 - 11*b + 666/5.
(b - 37)*(b - 18)/5
Let -2*k**4/7 - 12*k**3/7 + 2*k**2 = 0. What is k?
-7, 0, 1
Factor -3*t**2/7 - 792*t/7 - 52272/7.
-3*(t + 132)**2/7
Factor -190962*s**2/5 + 4944*s/5 - 32/5.
-2*(309*s - 4)**2/5
Let -5*u**2 - 82310*u - 338746805 = 0. What is u?
-8231
Determine b, given that 3*b**5 - 12*b**3 = 0.
-2, 0, 2
Factor -x**3/5 - 1677*x**2/5 + 1344*x - 6724/5.
-(x - 2)**2*(x + 1681)/5
What is z in -2*z**5/11 - 1886*z**4/11 + 5672*z**3/11 - 344*z**2 = 0?
-946, 0, 1, 2
Let 3*y**3 + 36*y**2 + 27*y - 66 = 0. What is y?
-11, -2, 1
Find l, given that -l**3/3 + 19*l**2/3 + 20*l/3 = 0.
-1, 0, 20
Let 3*x**5/2 + 15*x**4 + 57*x**3 + 102*x**2 + 171*x/2 + 27 = 0. Calculate x.
-3, -2, -1
Let -2*x**5 + 4*x**4 + 8*x**3 - 16*x**2 = 0. What is x?
-2, 0, 2
Factor 5*k**3/4 + 10525*k**2/2 - 42115*k/4 + 5265.
5*(k - 1)**2*(k + 4212)/4
What is k in 2*k**4/7 - 40*k**3/7 - 26*k**2 - 236*k/7 - 96/7 = 0?
-2, -1, 24
Suppose 2*t**3/13 - 228*t**2/13 + 6498*t/13 = 0. Calculate t.
0, 57
Determine b so that 8*b**5 - 74*b**4 + 194*b**3 - 44*b**2 - 256*b + 64 = 0.
-1, 1/4, 2, 4
What is t in -t**4/4 + 23*t**3/2 + 12*t**2 - 23*t/2 - 47/4 = 0?
-1, 1, 47
Factor 3*t**2 - 2052*t + 350892.
3*(t - 342)**2
Solve -q**4 + 3056*q**3 + 18360*q**2 + 36736*q + 24496 = 0.
-2, 3062
Find d, given that -d**3 + 14*d**2 = 0.
0, 14
Determine n so that 4*n**5 - 1032*n**4 + 67588*n**3 - 132096*n**2 + 65536*n = 0.
0, 1, 128
Let -5*h**3 + 48*h**2 - 105*h - 50 = 0. Calculate h.
-2/5, 5
Factor -2*g**4/15 - 6*g**3/5 - 16*g**2/15.
-2*g**2*(g + 1)*(g + 8)/15
Find p su