0.
-11/7, 1
Factor 2*g**3/9 - 104*g**2/9 + 1352*g/9.
2*g*(g - 26)**2/9
Find o such that o**3 - 1963*o**2 + 964323*o - 962361 = 0.
1, 981
Factor -30*w**4 - 184*w**3 - 24*w**2.
-2*w**2*(w + 6)*(15*w + 2)
Factor -v**2 - 44*v.
-v*(v + 44)
Solve -l**5/2 + l**4/2 + 7*l**3/2 - l**2/2 - 3*l = 0 for l.
-2, -1, 0, 1, 3
What is z in 27*z**3/2 + 1917*z**2 + 90738*z + 1431644 = 0?
-142/3
Determine m so that m**4 - 53*m**3 - 342*m**2 - 700*m - 472 = 0.
-2, 59
Determine q so that -q**5/7 + 15*q**4/7 + 139*q**3/7 + 321*q**2/7 + 198*q/7 = 0.
-3, -1, 0, 22
Solve 3*p**5 - 21*p**4 - 9*p**3 + 57*p**2 + 42*p = 0.
-1, 0, 2, 7
Suppose -2*u**5 - 18*u**4 - 50*u**3 - 30*u**2 + 52*u + 48 = 0. Calculate u.
-4, -3, -2, -1, 1
Determine f so that 8*f**5 - 218*f**4 + 1614*f**3 - 1742*f**2 + 338*f = 0.
0, 1/4, 1, 13
Determine r so that -r**3 + 44*r**2 = 0.
0, 44
Let 5*s**4 + 35*s**3 + 30*s**2 - 160*s - 160 = 0. Calculate s.
-4, -1, 2
What is z in 2*z**2/5 - 138*z/5 + 136/5 = 0?
1, 68
What is u in -u**3 + 23*u**2 + 140*u = 0?
-5, 0, 28
Factor -36*y**4/5 + 192*y**3/5 + 28*y**2 + 24*y/5.
-4*y*(y - 6)*(3*y + 1)**2/5
Let -2*n**4/3 + 46*n**3/3 - 86*n**2/3 + 14*n = 0. Calculate n.
0, 1, 21
Factor 5*p**4 + 30*p**3 - 45*p**2 - 70*p.
5*p*(p - 2)*(p + 1)*(p + 7)
Let 2*j**5/5 + 32*j**4/5 + 36*j**3 + 80*j**2 + 50*j = 0. What is j?
-5, -1, 0
Find i, given that -i**4 + 6*i**3 + 25*i**2 + 18*i = 0.
-2, -1, 0, 9
Factor 4*j**4 + 24*j**3 - 12*j**2 - 224*j - 192.
4*(j - 3)*(j + 1)*(j + 4)**2
Suppose -6*r**2 + 26*r/3 + 20/3 = 0. Calculate r.
-5/9, 2
Factor 2*i**4/3 + 6*i**3 + 12*i**2.
2*i**2*(i + 3)*(i + 6)/3
Determine d, given that -3*d**3/2 + 96*d**2 - 3975*d/2 + 13125 = 0.
14, 25
Factor -2*w**3 + 2*w.
-2*w*(w - 1)*(w + 1)
Suppose 3*v**5 - 30*v**4 - 33*v**3 = 0. What is v?
-1, 0, 11
Suppose -5*g**3 + 10*g**2 + 20*g - 40 = 0. What is g?
-2, 2
Factor 2*t**2 + 152*t + 2888.
2*(t + 38)**2
Factor a**3 - 708*a**2 + 167088*a - 13144256.
(a - 236)**3
Factor 3*n**4/4 - 9*n**2/4 + 3*n/2.
3*n*(n - 1)**2*(n + 2)/4
Factor n**3/5 + 570*n**2 + 2027772*n/5 - 4066952/5.
(n - 2)*(n + 1426)**2/5
Let 4*y**4 - 136*y**3 + 1284*y**2 - 2176*y + 1024 = 0. Calculate y.
1, 16
Factor z**2 + 65*z.
z*(z + 65)
Suppose -2*c**3/17 + 14*c**2/17 - 28*c/17 + 16/17 = 0. Calculate c.
1, 2, 4
Factor s**3/7 + 9*s**2/7 - 12*s/7 - 20/7.
(s - 2)*(s + 1)*(s + 10)/7
Find k, given that 3*k**3/5 - 27*k**2/5 + 72*k/5 - 48/5 = 0.
1, 4
What is r in -2*r**5/13 - 54*r**4/13 - 306*r**3/13 - 514*r**2/13 + 12*r + 720/13 = 0?
-20, -3, -2, 1
What is w in w**5/2 - 6*w**4 + 35*w**3/2 - 12*w**2 = 0?
0, 1, 3, 8
Find p, given that -4*p**4/7 + 8*p**3/7 + 12*p**2/7 = 0.
-1, 0, 3
Factor -2*l**3/11 - 324*l**2/11 - 17496*l/11 - 314928/11.
-2*(l + 54)**3/11
Let 5*r**3 - 95*r - 150 = 0. Calculate r.
-3, -2, 5
Factor 2*i**4/7 - 10*i**3/7 - 12*i**2/7 + 64*i/7 + 64/7.
2*(i - 4)**2*(i + 1)*(i + 2)/7
Solve -2*g**5/3 - 172*g**4/3 - 490*g**3/3 + 664*g**2/3 = 0 for g.
-83, -4, 0, 1
Let -s**4/2 + 148*s**3 + 3*s**2/2 - 443*s - 296 = 0. Calculate s.
-1, 2, 296
What is k in 4*k**4 - 40*k**3 + 128*k**2 - 152*k + 60 = 0?
1, 3, 5
Suppose 3*i**4/4 + 279*i**3 + 25380*i**2 - 106032*i = 0. What is i?
-188, 0, 4
Determine w, given that w**4/4 + 7*w**3/2 + 8*w**2 - 7*w/2 - 33/4 = 0.
-11, -3, -1, 1
Suppose 11*h**2 + 123*h + 22 = 0. What is h?
-11, -2/11
Factor 2*g**2 - 1142*g/3 + 380/3.
2*(g - 190)*(3*g - 1)/3
Factor x**3 + 38*x**2 + 361*x.
x*(x + 19)**2
Let -2*u**3/9 + 58*u**2/9 - 136*u/9 - 520/9 = 0. Calculate u.
-2, 5, 26
Determine f, given that 3*f**3 - 3*f**2 - 6*f = 0.
-1, 0, 2
Let -2*y**2 + 1504*y = 0. Calculate y.
0, 752
Let 4*q**3 - 312*q**2 = 0. Calculate q.
0, 78
Factor m**5/2 - 10*m**4 + 30*m**3 + 155*m**2 + 355*m/2 + 63.
(m - 14)*(m - 9)*(m + 1)**3/2
Factor -3*i**3/2 - 81*i**2/2 + 180*i - 186.
-3*(i - 2)**2*(i + 31)/2
Suppose -5*n**2 + 85*n + 1000 = 0. Calculate n.
-8, 25
Let -2*m**5 - 10*m**4 + 14*m**3 + 10*m**2 - 12*m = 0. What is m?
-6, -1, 0, 1
Solve 2*f**5/5 + 4*f**4 + 24*f**3/5 - 68*f**2/5 - 26*f/5 + 48/5 = 0 for f.
-8, -3, -1, 1
Suppose -k**4/4 - 143*k**3 - 81221*k**2/4 + 82369*k/2 = 0. What is k?
-287, 0, 2
Factor -4*n**5 - 420*n**4 + 852*n**3 - 428*n**2.
-4*n**2*(n - 1)**2*(n + 107)
Find u, given that -4*u**2 - 112*u + 116 = 0.
-29, 1
Factor 2*c**5/9 - 50*c**4/9 + 94*c**3/9 - 46*c**2/9.
2*c**2*(c - 23)*(c - 1)**2/9
Let 2*j**2 - 184*j/5 + 72/5 = 0. Calculate j.
2/5, 18
Factor 5*o**4 - 292*o**3 - 179*o**2 + 118*o.
o*(o - 59)*(o + 1)*(5*o - 2)
Find d such that -3*d**5/4 + 3*d**4/4 + 9*d**3/4 - 3*d**2/4 - 3*d/2 = 0.
-1, 0, 1, 2
Factor o**3/6 - 35*o**2/3 + 67*o/6 + 23.
(o - 69)*(o - 2)*(o + 1)/6
Solve 36*o**4 + 96*o**3 + 28*o**2 - 96*o - 64 = 0 for o.
-4/3, -1, 1
Factor 10*r**3 + 185*r**2 + 260*r + 85.
5*(r + 1)*(r + 17)*(2*r + 1)
Find t such that 3*t**3/4 - 3*t/4 = 0.
-1, 0, 1
Factor 5*i**2 + 78*i - 32.
(i + 16)*(5*i - 2)
Factor 4*q**2 - 5320*q - 5324.
4*(q - 1331)*(q + 1)
Determine b, given that 98*b**2/5 + 308*b/5 + 242/5 = 0.
-11/7
Suppose 507*q**2/4 - 585*q + 675 = 0. What is q?
30/13
Factor -c**2/12 - 5*c/12 + 1/2.
-(c - 1)*(c + 6)/12
Factor -2*n**3/5 - 176*n**2/5 - 136*n - 672/5.
-2*(n + 2)**2*(n + 84)/5
Factor 16*y**3 + 832*y**2 - 844*y + 212.
4*(y + 53)*(2*y - 1)**2
Factor -t**2 - 804*t - 161604.
-(t + 402)**2
Determine c so that -3*c**2/4 + 3*c/4 + 9 = 0.
-3, 4
Solve 2*b**5/5 + b**4/5 - 14*b**3/5 + b**2 + 6*b/5 = 0 for b.
-3, -1/2, 0, 1, 2
Solve -3*k**2 - 126*k + 129 = 0.
-43, 1
Factor i**5/4 + 15*i**4/4 + 5*i**3/4 - 115*i**2/4 + 75*i/2 - 14.
(i - 1)**3*(i + 4)*(i + 14)/4
Determine f, given that f**4/5 + 4*f**3/5 - 6*f**2/5 - 4*f/5 + 1 = 0.
-5, -1, 1
Let 2*d**4/5 - 14*d**3 + 838*d**2/5 - 3674*d/5 + 2904/5 = 0. What is d?
1, 11, 12
Factor 2*r**3/9 + 1088*r**2/9 - 2182*r/9 + 364/3.
2*(r - 1)**2*(r + 546)/9
Factor 3*i**2/8 + 105*i/8 + 51/4.
3*(i + 1)*(i + 34)/8
Find i such that 4*i**4 + 56*i**3 + 100*i**2 + 48*i = 0.
-12, -1, 0
Factor 8*p**4/3 + 482*p**3/3 + 40*p**2.
2*p**2*(p + 60)*(4*p + 1)/3
Determine b, given that -12*b**5 - 5152*b**4 - 556396*b**3 - 731016*b**2 + 186608*b + 366368 = 0.
-214, -1, 2/3
Solve o**5 - 174*o**4 + 344*o**3 + 2*o**2 - 345*o + 172 = 0 for o.
-1, 1, 172
What is z in 2*z**3 - 22*z**2 - 186*z - 306 = 0?
-3, 17
Determine a, given that a**3 + 24*a**2 - 25*a = 0.
-25, 0, 1
Factor -5*w**2 - 13470*w - 9072045.
-5*(w + 1347)**2
Factor 3*q**3 - 129*q**2 + 1680*q - 6900.
3*(q - 23)*(q - 10)**2
Factor g**4/3 + 3*g**3 + g**2 - 37*g/3 + 8.
(g - 1)**2*(g + 3)*(g + 8)/3
Suppose y**2/4 - 19*y/4 - 5 = 0. What is y?
-1, 20
Factor -2*n**5/3 - 32*n**4/3 + 70*n**3/3 - 12*n**2.
-2*n**2*(n - 1)**2*(n + 18)/3
Determine l, given that 6*l**2 + 3415*l + 569 = 0.
-569, -1/6
Factor -2*m**3/17 + 8*m**2/17 + 24*m/17.
-2*m*(m - 6)*(m + 2)/17
Factor h**4/4 + 21*h**3/2 + 110*h**2 - 21*h/2 - 441/4.
(h - 1)*(h + 1)*(h + 21)**2/4
Factor 2*w**3/13 + 48*w**2/13 - 482*w/13 + 960/13.
2*(w - 5)*(w - 3)*(w + 32)/13
Factor -4*d**4 + 24*d**3 - 20*d**2 - 96*d + 144.
-4*(d - 3)**2*(d - 2)*(d + 2)
Suppose 5*y**2 - 45*y - 50 = 0. Calculate y.
-1, 10
Solve -4*h**3 - 220*h**2 + 4*h + 220 = 0 for h.
-55, -1, 1
Find o such that 3*o**5/5 + 3*o**4 + 24*o**3/5 + 12*o**2/5 = 0.
-2, -1, 0
Determine w so that 4*w**2/7 - 16*w/7 - 20/7 = 0.
-1, 5
What is l in -100*l**5/7 - 620*l**4/7 - 456*l**3/7 + 688*l**2/7 - 160*l/7 = 0?
-5, -2, 0, 2/5
What is l in l**4 - 19*l**3 + 63*l**2 - 45*l = 0?
0, 1, 3, 15
Factor -5*n**4 + 65*n**3 - 160*n**2 + 100*n.
-5*n*(n - 10)*(n - 2)*(n - 1)
Find j such that 14*j**5/9 + 130*j**4/9 - 1588*j**3/9 + 4072*j**2/9 - 2512*j/9 - 1088/9 = 0.
-17, -2/7, 2, 4
Factor -2*d**3/11 + 78*d**2/11 + 980*d/11.
-2*d*(d - 49)*(d + 10)/11
Determine j so that -51*j**4 - 198*j**3 + 279*j**2 - 30*j = 0.
-5, 0, 2/17, 1
Suppose 4*k**2 + 420*k - 424 = 0. What is k?
-106, 1
Find j, given that 7*j**3/2 - 43*j**2/3 + 71*j/6 - 1 = 0.
2/21, 1, 3
Let -m**4/3 + 4*m**3/3 - 2*m**2/3 - 4*m/3 + 1 = 0. Calculate m.
-1, 1, 3
Suppose u**5 + 29*u**4 + 28*u**3 = 0. Calculate u.
-28, -1, 0
Let 5*v**2/6 - 13685*v/6 + 2280 = 0. What is v?
1, 2736
Factor -4*a**4 - 8*a**3 + 108*a**2 - 208*a + 112.
-4*(a - 2)**2*(a - 1)*(a + 7)
Let -i**3/5 + 11*i**2/5 - 26*i/5 + 16/5 = 0. What is i?
1, 2, 8
Factor -4*y**3 - 40*y**2 - 52*y + 96.
-4*(y - 1)*(y + 3)*(y + 8)
Find l, given that -11*l**2/7 - 200*l/7 - 36/7 = 0.
-