3/7
Factor 2*d**2/9 + 230*d/9 + 76/3.
2*(d + 1)*(d + 114)/9
Factor -c**2/3 - 44*c/3 + 47.
-(c - 3)*(c + 47)/3
Factor -201*z**2/4 + 102*z - 3.
-3*(z - 2)*(67*z - 2)/4
What is i in 2*i**4/7 - 776*i**3/7 + 11078*i**2 - 437772*i/7 = 0?
0, 6, 191
Factor -d**2 + 22*d - 105.
-(d - 15)*(d - 7)
Find b, given that -4*b**5 - 28*b**4 - 60*b**3 - 20*b**2 + 64*b + 48 = 0.
-3, -2, -1, 1
Let -a**4/11 + 10*a**2/11 - 9/11 = 0. Calculate a.
-3, -1, 1, 3
Factor 2*x**3/9 - 16*x**2/9 - 38*x/9 - 20/9.
2*(x - 10)*(x + 1)**2/9
Factor j**5 - 2*j**4 - 12*j**3 + 18*j**2 + 27*j.
j*(j - 3)**2*(j + 1)*(j + 3)
Factor -36*x**5 - 192*x**4 - 292*x**3 - 24*x**2 + 144*x - 32.
-4*(x + 2)**3*(3*x - 1)**2
Factor -k**4/2 + 27*k**3/2 - 109*k**2 + 240*k - 144.
-(k - 12)**2*(k - 2)*(k - 1)/2
Factor -5*d**3/4 + 855*d**2/4 - 210*d - 425.
-5*(d - 170)*(d - 2)*(d + 1)/4
Let -n**4 - 66*n**3 - 333*n**2 + 24948*n - 142884 = 0. Calculate n.
-42, 9
Factor g**5/6 + g**4/6 - 7*g**3/3 - 14*g**2/3 + 4*g/3 + 16/3.
(g - 4)*(g - 1)*(g + 2)**3/6
Determine f, given that -12*f**5 - 39*f**4 - 9*f**3 = 0.
-3, -1/4, 0
Determine j, given that 5*j**3 + 80*j**2 + 45*j - 450 = 0.
-15, -3, 2
Find b such that b**2 + 265*b + 786 = 0.
-262, -3
Determine r, given that r**4 - 6*r**3 + 13*r**2 - 12*r + 4 = 0.
1, 2
Determine m, given that -2*m**3 - 14*m**2 - 22*m - 10 = 0.
-5, -1
Factor 2*t**2 - 26*t + 80.
2*(t - 8)*(t - 5)
Factor 3*c**5 - 303*c**4 - 618*c**3.
3*c**3*(c - 103)*(c + 2)
Let -5*b**5/3 + 20*b**4/3 + 55*b**3/3 - 130*b**2/3 - 320*b/3 - 160/3 = 0. Calculate b.
-2, -1, 4
Factor 2*c**2/9 + 8*c/3 - 56/9.
2*(c - 2)*(c + 14)/9
Factor 11*w**5 - 3*w**4.
w**4*(11*w - 3)
Let 22*r**4/7 - 136*r**3/7 + 2*r**2/7 + 136*r/7 - 24/7 = 0. Calculate r.
-1, 2/11, 1, 6
Find o such that -o**3/9 - 16*o**2/9 + 44*o + 720 = 0.
-18, 20
What is s in -5*s**5 - 45*s**4 - 70*s**3 + 10*s**2 + 75*s + 35 = 0?
-7, -1, 1
Find i, given that -3*i**2 + 135*i - 972 = 0.
9, 36
Find a such that -a**5/2 - 9*a**4/2 - 7*a**3/2 + 9*a**2/2 + 4*a = 0.
-8, -1, 0, 1
Solve -70*s**5 + 1066*s**4 - 6592*s**3/7 - 24848*s**2/7 - 1696*s - 224 = 0.
-1, -2/7, 14/5, 14
Factor 28561*l**3/7 - 57798*l**2/7 + 1356*l/7 - 8/7.
(l - 2)*(169*l - 2)**2/7
Find s, given that 9*s**3/7 - 12*s**2 - 9*s + 30/7 = 0.
-1, 1/3, 10
Determine m so that -2*m**4/5 - 16*m**3/5 + 28*m**2/5 + 96*m/5 + 54/5 = 0.
-9, -1, 3
Factor n**3 - 19*n**2 - 200*n + 468.
(n - 26)*(n - 2)*(n + 9)
Solve -2*b**4 + 62*b**3/7 - 24*b**2/7 = 0 for b.
0, 3/7, 4
Factor 3*u**3 - 323*u**2 - 440*u + 436.
(u - 109)*(u + 2)*(3*u - 2)
Factor -3*a**2/7 - 24*a/7.
-3*a*(a + 8)/7
Factor -3*g**3 + 57*g**2 - 105*g + 51.
-3*(g - 17)*(g - 1)**2
Suppose 3*t**3/4 + 18*t**2 + 33*t = 0. Calculate t.
-22, -2, 0
Factor 4*j**3 + 108*j**2 + 960*j + 2800.
4*(j + 7)*(j + 10)**2
Factor -a**3/5 - 8*a**2 - 336*a/5.
-a*(a + 12)*(a + 28)/5
Factor -2*o**3/5 - 654*o**2/5 - 71286*o/5 - 2590058/5.
-2*(o + 109)**3/5
Factor 4*g**3 + 1356*g**2 + 153228*g + 5771588.
4*(g + 113)**3
Determine t, given that 5*t**3 - 85*t**2 + 455*t - 735 = 0.
3, 7
Factor -a**2/6 + 157*a/6.
-a*(a - 157)/6
Let 5*u**5 + 1080*u**4 + 59385*u**3 + 114490*u**2 = 0. Calculate u.
-107, -2, 0
Factor -q**4 + 5*q**3 + 73*q**2 + 127*q + 60.
-(q - 12)*(q + 1)**2*(q + 5)
Factor -2*f**2/5 - 1112*f/5 - 154568/5.
-2*(f + 278)**2/5
Solve -s**5/8 + 87*s**4/4 - 507*s**3/8 - 527*s**2/4 + 1203*s/2 - 513 = 0.
-3, 2, 171
Factor c**5/9 + 29*c**4/3 + 265*c**3/3 + 1925*c**2/9.
c**2*(c + 5)**2*(c + 77)/9
Suppose -y**4/3 - 119*y**3/3 + y**2/3 + 119*y/3 = 0. Calculate y.
-119, -1, 0, 1
Factor 2*f**5 + 6*f**4 - 122*f**3 - 382*f**2 - 384*f - 128.
2*(f - 8)*(f + 1)**3*(f + 8)
Factor -4*p**4 + 28*p**3 - 16*p**2 - 48*p.
-4*p*(p - 6)*(p - 2)*(p + 1)
Factor 3*t**3/4 + 225*t**2/4 - 231*t/2.
3*t*(t - 2)*(t + 77)/4
Solve -3*p**3 + 27*p**2 - 45*p - 75 = 0 for p.
-1, 5
Factor 2*a**2 + 156*a + 3042.
2*(a + 39)**2
Factor -55*a**3 + 3730*a**2 - 62900*a - 11560.
-5*(a - 34)**2*(11*a + 2)
Factor 4*u**2 + 80*u + 76.
4*(u + 1)*(u + 19)
Factor 5*g**4/4 + 25*g**3/4 - 105*g**2/4 + 115*g/4 - 10.
5*(g - 1)**3*(g + 8)/4
Factor o**3/7 - 5*o**2/7 - 22*o/7 - 16/7.
(o - 8)*(o + 1)*(o + 2)/7
Factor -2*g**3/7 + 10*g**2/7 + 156*g/7 + 144/7.
-2*(g - 12)*(g + 1)*(g + 6)/7
Factor 2*h**3/7 + 44*h**2/7 - 150*h/7.
2*h*(h - 3)*(h + 25)/7
Factor -4*y**5 + 12*y**3 + 8*y**2.
-4*y**2*(y - 2)*(y + 1)**2
Factor -3*o**4 - 48*o**3 - 75*o**2 + 126*o.
-3*o*(o - 1)*(o + 3)*(o + 14)
Factor -2*j**4 + 119546*j**3/5 - 95271786*j**2 + 126527280710*j + 50626157300.
-2*(j - 3985)**3*(5*j + 2)/5
Find n such that 2*n**3/9 + 34*n**2/9 + 28*n/9 - 64/9 = 0.
-16, -2, 1
Solve -58*s**3 - 228*s**2 - 158*s + 12 = 0.
-3, -1, 2/29
Suppose k**4/7 - 4*k**3 - 61*k**2/7 + 4*k + 60/7 = 0. Calculate k.
-2, -1, 1, 30
Factor 2*x**3/11 - 320*x**2/11 + 1256*x/11 - 1248/11.
2*(x - 156)*(x - 2)**2/11
Factor 5*x**4 - 105*x**3 + 600*x**2 - 500*x.
5*x*(x - 10)**2*(x - 1)
Suppose -3*g**4 + 54*g**3 - 255*g**2 + 216*g + 528 = 0. Calculate g.
-1, 4, 11
Find a, given that 3*a**3 + 364*a**2 - 995*a - 372 = 0.
-124, -1/3, 3
Suppose 4*k**5 + 20*k**4 + 16*k**3 = 0. What is k?
-4, -1, 0
Suppose 4*d**3 - 108*d**2 + 416*d + 528 = 0. Calculate d.
-1, 6, 22
Determine i, given that -7*i**2/4 - 57*i/2 - 56 = 0.
-14, -16/7
Let -32*i**5/7 + 528*i**4/7 + 846*i**3/7 + 46*i**2 + 36*i/7 = 0. What is i?
-1, -1/4, 0, 18
Solve 2*x**5/5 - 18*x**4/5 - 52*x**3 - 284*x**2/5 + 282*x - 170 = 0.
-5, 1, 17
Factor -9*t**2 + 12525*t - 17430625/4.
-(6*t - 4175)**2/4
Solve -5*s**4 + 145*s**3 + 150*s**2 = 0.
-1, 0, 30
Factor -2*n**4/7 - 14*n**3 - 540*n**2/7 - 1048*n/7 - 688/7.
-2*(n + 2)**3*(n + 43)/7
Let -5*y**5 - 105*y**4 - 440*y**3 - 660*y**2 - 320*y = 0. Calculate y.
-16, -2, -1, 0
Suppose l**3 + 34*l**2 - 1156*l - 39304 = 0. Calculate l.
-34, 34
Find j such that 2*j**5/7 - 38*j**4/7 + 176*j**3/7 - 72*j**2/7 - 288*j/7 = 0.
-1, 0, 2, 6, 12
Factor 3*k**3/2 - 207*k**2/4 + 831*k/4 - 315/2.
3*(k - 30)*(k - 1)*(2*k - 7)/4
Factor l**5/4 + 15*l**4 + 837*l**3/4 - 961*l**2/2.
l**2*(l - 2)*(l + 31)**2/4
Determine s so that -3*s**4/5 + 378*s**3/5 - 216*s**2 - 3402*s/5 + 9963/5 = 0.
-3, 3, 123
Factor 2*j**4/5 - 2*j**3/5 - 42*j**2/5 + 82*j/5 - 8.
2*(j - 4)*(j - 1)**2*(j + 5)/5
Factor 45*j**3 + 10*j**2 - 180*j - 40.
5*(j - 2)*(j + 2)*(9*j + 2)
Let 2*j**3 - 34*j**2 + 160*j - 128 = 0. Calculate j.
1, 8
Determine l so that 2*l**5/7 - 24*l**3/7 - 32*l**2/7 = 0.
-2, 0, 4
Determine x, given that -x**3/4 + 9*x**2/4 + 3*x - 5 = 0.
-2, 1, 10
Determine f, given that 3*f**5/7 - 30*f**4/7 + 45*f**3/7 + 30*f**2/7 - 48*f/7 = 0.
-1, 0, 1, 2, 8
Solve -2*i**5/9 - 14*i**4/9 - 8*i**3/9 + 8*i**2/3 = 0.
-6, -2, 0, 1
Factor v**3/4 - v**2 + v/4 + 3/2.
(v - 3)*(v - 2)*(v + 1)/4
Suppose p**4/5 + 139*p**3/5 = 0. Calculate p.
-139, 0
Solve -161*c**4/3 + 101*c**3/3 + 56*c**2/3 + 4*c/3 = 0 for c.
-2/7, -2/23, 0, 1
Factor 2*f**2/13 - 334*f/13 + 984/13.
2*(f - 164)*(f - 3)/13
Solve k**3/5 - 91*k**2/5 - k/5 + 91/5 = 0 for k.
-1, 1, 91
Factor -p**2 + 438*p - 47961.
-(p - 219)**2
Factor 2*n**3/3 - 30*n**2 - 312*n - 648.
2*(n - 54)*(n + 3)*(n + 6)/3
What is h in 3*h**3 + 7*h**2/4 + h/4 = 0?
-1/3, -1/4, 0
Factor 2*r**5 + 636*r**4 + 48624*r**3 - 307168*r**2 + 624672*r - 419904.
2*(r - 2)**3*(r + 162)**2
Factor -5*i**3 - 15*i**2 + 80*i - 60.
-5*(i - 2)*(i - 1)*(i + 6)
Find k such that -k**5/5 + 3*k**4/5 + k**3/5 - 3*k**2/5 = 0.
-1, 0, 1, 3
Factor s**2/3 + 112*s/3 - 113/3.
(s - 1)*(s + 113)/3
Solve -t**2/3 + 16*t - 84 = 0.
6, 42
Let 75*x**4 + 677*x**3 + 1818*x**2 + 1548*x + 40 = 0. Calculate x.
-5, -2, -2/75
Determine u so that 4*u**2 - 9592*u - 9596 = 0.
-1, 2399
Factor a**3/9 + 53*a**2/9 - 1481*a/9 - 511/3.
(a - 21)*(a + 1)*(a + 73)/9
Find l such that l**3/5 + 897*l**2/5 + 200703*l/5 - 201601/5 = 0.
-449, 1
Factor -2*t**4 - 28*t**3 - 72*t**2 - 68*t - 22.
-2*(t + 1)**3*(t + 11)
Let -b**4 - 2*b**3 + 3*b**2 = 0. What is b?
-3, 0, 1
Suppose 12*f**5 - 80*f**4 - 136*f**3 + 48*f**2 + 124*f + 32 = 0. What is f?
-1, -1/3, 1, 8
Factor 4*y**2 - 240*y - 5236.
4*(y - 77)*(y + 17)
Find r, given that 10*r**4/7 - 74*r**3/7 + 22*r**2/7 + 6*r = 0.
-3/5, 0, 1, 7
Determine i so that 3*i**5 - 582*i**4 + 28779*i**3 - 51276*i**2 - 191232*i - 110592 = 0.
-1, 4, 96
Suppose -2*s**3 - 10*s**2 - 14*s - 6 = 0. What is s?
-3, -1
Solve 2*a**2 + 60*a - 62 = 0 for a.
-31, 1
Factor -2*k**5/5 - 4*k