uppose -4*f**5 + 96*f**3 + 256*f**2 + 192*f = 0. What is f?
-2, 0, 6
Solve -f**4/9 + 7*f**3/9 - 2*f**2/9 - 28*f/9 + 8/3 = 0.
-2, 1, 2, 6
Factor -3*d**3 + 39*d**2 - 30*d - 72.
-3*(d - 12)*(d - 2)*(d + 1)
Factor 2*z**5/5 + 8*z**4/5 + 8*z**3/5 - 4*z**2/5 - 2*z - 4/5.
2*(z - 1)*(z + 1)**3*(z + 2)/5
Factor -2*q**5 - 2*q**4 + 12*q**3 - 4*q**2 - 10*q + 6.
-2*(q - 1)**3*(q + 1)*(q + 3)
Factor 3*k**5 - 63*k**4 + 117*k**3 - 57*k**2.
3*k**2*(k - 19)*(k - 1)**2
Factor -5*z**3/3 + 71*z**2/3 - 259*z/3 + 49/3.
-(z - 7)**2*(5*z - 1)/3
Solve -2*z**3/13 + 422*z**2/13 + 1280*z/13 + 856/13 = 0.
-2, -1, 214
Factor 3*d**5 - 6*d**4 - 3*d**3 + 6*d**2.
3*d**2*(d - 2)*(d - 1)*(d + 1)
Determine p so that -45*p**3 - 258*p**2 + 189*p + 114 = 0.
-19/3, -2/5, 1
Let -14*q**2/3 + 23*q/3 - 8/3 = 0. Calculate q.
1/2, 8/7
Suppose 5*k**4 - 115*k**3 + 705*k**2 - 385*k - 1210 = 0. What is k?
-1, 2, 11
Factor 5*c**3/8 + 21*c**2/8 + 19*c/8 + 3/8.
(c + 1)*(c + 3)*(5*c + 1)/8
Factor -3*k**2/7 + 3096*k/7 - 798768/7.
-3*(k - 516)**2/7
Solve 10*y**3 + 25*y**2 - 20*y - 15 = 0.
-3, -1/2, 1
Find f, given that 3*f**3/5 - 393*f**2 - 7896*f/5 - 7908/5 = 0.
-2, 659
Determine y so that -y**2 + 31*y - 234 = 0.
13, 18
Suppose -2*z**3 + 20*z**2 - 14*z - 36 = 0. Calculate z.
-1, 2, 9
Factor -4*o**2/9 + 68*o/9 - 40/3.
-4*(o - 15)*(o - 2)/9
Determine j so that 3*j**5 - 60*j**4 + 444*j**3 - 1440*j**2 + 1728*j = 0.
0, 4, 6
Factor -2*x**3/9 + 106*x**2/9 - 304*x/9 + 200/9.
-2*(x - 50)*(x - 2)*(x - 1)/9
Find g, given that 2*g**4 + 108*g**3 + 1824*g**2 + 7220*g - 41154 = 0.
-19, 3
Factor 2*u**3/3 + 56*u**2/3 + 154*u/3 + 100/3.
2*(u + 1)*(u + 2)*(u + 25)/3
Suppose 3*s**2 - 108*s + 297 = 0. Calculate s.
3, 33
Factor 3*j**4 + 2142*j**3 - 4293*j**2 + 2148*j.
3*j*(j - 1)**2*(j + 716)
Factor 3*g**3 - 81*g**2 + 222*g - 144.
3*(g - 24)*(g - 2)*(g - 1)
Let 3*t**3 - 6*t**2 - 60*t - 72 = 0. What is t?
-2, 6
Factor l**5 + 6*l**4 + 12*l**3 + 10*l**2 + 3*l.
l*(l + 1)**3*(l + 3)
Find h such that h**5/2 + 13*h**4/2 + 15*h**3 - 29*h**2 - 31*h/2 + 45/2 = 0.
-9, -5, -1, 1
Let b**2/6 - b/6 - 92 = 0. What is b?
-23, 24
Determine f, given that -f**2/3 - 3740*f/3 - 2492 = 0.
-3738, -2
Factor 4*t**2 - 16*t - 2688.
4*(t - 28)*(t + 24)
Determine a, given that -4*a**3 - 128*a**2 - 1140*a - 1800 = 0.
-15, -2
Determine g so that 5*g**4 + 7870*g**3 + 3112545*g**2 + 12355900*g + 12324500 = 0.
-785, -2
Factor 2*u**3 + 170*u**2 + 3696*u + 3528.
2*(u + 1)*(u + 42)**2
Factor -i**3 - 1384*i**2 - 480245*i - 954962.
-(i + 2)*(i + 691)**2
Factor 2*z**4 + 74*z**3 - 2*z**2 - 74*z.
2*z*(z - 1)*(z + 1)*(z + 37)
Find i, given that -i**3/4 + 7*i/4 + 3/2 = 0.
-2, -1, 3
Factor 2*w**2/13 - 1390*w/13 + 1388/13.
2*(w - 694)*(w - 1)/13
Factor 2*o**5 + 10*o**4 + 6*o**3 - 18*o**2.
2*o**2*(o - 1)*(o + 3)**2
Factor -2*v**5 + 90*v**4 - 418*v**3 + 734*v**2 - 564*v + 160.
-2*(v - 40)*(v - 2)*(v - 1)**3
Factor y**2/10 - 3*y/2 - 17/5.
(y - 17)*(y + 2)/10
Factor -2*c**3/5 + 14*c**2/5 + 138*c/5 + 234/5.
-2*(c - 13)*(c + 3)**2/5
Let -5*v**3 + 45*v**2 - 120*v + 80 = 0. Calculate v.
1, 4
Let 2*l**4 - 10*l**3 - 70*l**2 - 30*l + 108 = 0. Calculate l.
-3, -2, 1, 9
Factor 3*d**3 + 174*d**2 - 3*d - 174.
3*(d - 1)*(d + 1)*(d + 58)
Determine b so that -9*b**3/7 + 60*b**2/7 + 93*b/7 + 24/7 = 0.
-1, -1/3, 8
Solve -4*t**5 - 3*t**4 + 5*t**3 + 3*t**2 - t = 0.
-1, 0, 1/4, 1
Solve -z**3/5 + 4*z**2/5 + z/5 - 4/5 = 0 for z.
-1, 1, 4
Solve y**4/5 - 199*y**3/5 + 10194*y**2/5 - 29204*y/5 + 19208/5 = 0 for y.
1, 2, 98
Factor -4*f**4/3 + 3*f**3 + 10*f**2/3 - f.
-f*(f - 3)*(f + 1)*(4*f - 1)/3
Solve i**5 - 6*i**4 - 10*i**3 + 16*i**2 + 33*i + 14 = 0 for i.
-1, 2, 7
Factor -z**3/3 - 18*z**2 - 659*z/3 + 238.
-(z - 1)*(z + 21)*(z + 34)/3
Factor -21*m**4/4 - 1641*m**3/2 - 32175*m**2 - 9126*m.
-3*m*(m + 78)**2*(7*m + 2)/4
Suppose -2*t**2 + 190*t = 0. Calculate t.
0, 95
Let 2*a**3/3 + 24*a**2 = 0. What is a?
-36, 0
Let 2*u**2/7 - 292*u/7 = 0. Calculate u.
0, 146
What is r in -4*r**5 + 128*r**4 - 996*r**3 + 1512*r**2 = 0?
0, 2, 9, 21
Determine b so that 31*b**4/8 - 79*b**3/8 - 45*b**2/4 + 79*b/2 - 17 = 0.
-2, 17/31, 2
Factor -2*w**2 - 1832*w - 419528.
-2*(w + 458)**2
Factor 5*f**2 - 5395*f - 5400.
5*(f - 1080)*(f + 1)
Let -3*d**4/5 - 63*d**3/5 + 27*d**2 - 69*d/5 = 0. What is d?
-23, 0, 1
Suppose 5*j**3/3 + 1150*j**2/3 + 22420*j + 43320 = 0. Calculate j.
-114, -2
Let 2*a**3/7 - 4*a**2 - 102*a/7 = 0. What is a?
-3, 0, 17
Find q such that -q**2 - 65*q = 0.
-65, 0
Factor 4*d**4 - 48*d**3 + 168*d**2 - 208*d + 84.
4*(d - 7)*(d - 3)*(d - 1)**2
Solve n**2 + 125*n - 1206 = 0.
-134, 9
Factor -3*k**2/2 + 45*k/2 - 54.
-3*(k - 12)*(k - 3)/2
Factor 2*o**4/13 + 10*o**3/13 + 8*o**2/13.
2*o**2*(o + 1)*(o + 4)/13
Solve g**2/2 - 21*g + 41/2 = 0 for g.
1, 41
Let -2*o**5 - 4*o**4 + 144*o**3 + 800*o**2 + 1504*o + 960 = 0. What is o?
-6, -2, 10
Find t such that t**5/4 - 7*t**4/4 + 3*t**3/2 = 0.
0, 1, 6
Let 4*s**4 + 12*s**3 - 128*s**2 + 240*s - 128 = 0. Calculate s.
-8, 1, 2
Factor -3*x**2 - 19*x - 6.
-(x + 6)*(3*x + 1)
Factor -2*u**2/19 - 1846*u/19 + 1848/19.
-2*(u - 1)*(u + 924)/19
Let 5*n**4 + 15*n**3 - 135*n**2 + 65*n + 210 = 0. What is n?
-7, -1, 2, 3
Find q, given that 2*q**2/3 + 50*q/3 + 56 = 0.
-21, -4
Suppose 4*d**5/9 - 1366*d**4/9 + 117640*d**3/9 - 173398*d**2/9 - 680*d/9 + 57800/9 = 0. Calculate d.
-1/2, 1, 170
Factor -39*b**3 + 123*b**2 - 96*b + 12.
-3*(b - 2)*(b - 1)*(13*b - 2)
What is a in 72*a**3/7 - 2900*a**2/7 + 7452*a/7 + 1800/7 = 0?
-2/9, 3, 75/2
Factor -2*s**3/7 - 32*s**2/7 + 10*s - 36/7.
-2*(s - 1)**2*(s + 18)/7
Determine n so that -2*n**4/9 - 8*n**3/9 - 2*n**2/3 = 0.
-3, -1, 0
Suppose -5*c**5/3 + 11*c**4 - 26*c**3/3 - 32*c**2 - 32*c/3 = 0. Calculate c.
-1, -2/5, 0, 4
Suppose 2*a**3/5 - 34*a**2/5 = 0. What is a?
0, 17
Factor -w**2/3 - 5*w + 406/3.
-(w - 14)*(w + 29)/3
Solve -4*d**2/3 - 13*d + 55/3 = 0 for d.
-11, 5/4
Factor -5*f**3/3 - 440*f**2/3 + 1355*f/3 - 910/3.
-5*(f - 2)*(f - 1)*(f + 91)/3
Factor 2*q**4 + 16*q**3 - 2*q**2 - 16*q.
2*q*(q - 1)*(q + 1)*(q + 8)
Find q such that -4*q**2/3 - 304*q/3 + 308/3 = 0.
-77, 1
Let b**2/10 + 419*b/5 - 839/10 = 0. What is b?
-839, 1
Factor 2*r**2/19 - 18*r/19 - 104/19.
2*(r - 13)*(r + 4)/19
Factor -c**4 + 5*c**3 + 21*c**2 - 85*c - 100.
-(c - 5)**2*(c + 1)*(c + 4)
Find v such that -2*v**5 + 522*v**4/7 - 638*v**3/7 - 54*v**2 + 652*v/7 - 144/7 = 0.
-1, 2/7, 1, 36
Determine a, given that 2*a**2/5 - 292*a/5 + 10658/5 = 0.
73
Let -12*j**2/5 + 436*j/5 - 144/5 = 0. What is j?
1/3, 36
Factor 2*t**4 - 86*t**3 + 158*t**2 + 246*t.
2*t*(t - 41)*(t - 3)*(t + 1)
Let -4*y**3/9 + 8*y**2/9 + 28*y/3 + 8 = 0. Calculate y.
-3, -1, 6
Suppose -4*d**5 + 96*d**4 - 80*d**3 - 280*d**2 + 84*d + 184 = 0. Calculate d.
-1, 1, 2, 23
Factor 30*n**2 + 168*n - 376/3.
2*(3*n - 2)*(15*n + 94)/3
Factor -3*k**2/2 + 2517*k/2 - 1257.
-3*(k - 838)*(k - 1)/2
Suppose 3*f**5 + 93*f**4 + 750*f**3 + 234*f**2 - 3105*f + 2025 = 0. Calculate f.
-15, -3, 1
Factor -c**4/3 - 4328*c**3/3 - 4687222*c**2/3 - 3120488*c - 1559523.
-(c + 1)**2*(c + 2163)**2/3
Solve -w**2/2 - 535*w + 1071/2 = 0.
-1071, 1
Factor 2*c**4/7 + 2*c**3/7 - 44*c**2/7 + 88*c/7 - 48/7.
2*(c - 2)**2*(c - 1)*(c + 6)/7
Solve -108*t**4/5 + 1629*t**3/5 - 3081*t**2/5 + 2064*t/5 - 468/5 = 0.
2/3, 3/4, 13
Solve -u**3/4 - 27*u**2/2 - 155*u/4 - 51/2 = 0.
-51, -2, -1
Suppose 2*m**3 + 774*m**2 - 6288*m + 12640 = 0. What is m?
-395, 4
Determine b so that -4*b**4 - 16*b**3 - 24*b**2 - 16*b - 4 = 0.
-1
Suppose -p**5 + 17*p**4/7 - 2*p**3/7 - 8*p**2/7 = 0. Calculate p.
-4/7, 0, 1, 2
Find m, given that 3*m**2/7 - 3*m - 594/7 = 0.
-11, 18
Solve 39*g**2/5 + 6*g/5 = 0.
-2/13, 0
Find y, given that 2*y**2 + 40*y + 198 = 0.
-11, -9
Factor -2*c**2 - 250*c - 248.
-2*(c + 1)*(c + 124)
Factor -2*g**4/7 - 10*g**3/7 - 8*g**2/7.
-2*g**2*(g + 1)*(g + 4)/7
Determine p so that 3*p**5/2 + 18*p**4 - 117*p**3 + 174*p**2 - 153*p/2 = 0.
-17, 0, 1, 3
Factor x**4/5 + 154*x**3/5 + 1620*x**2 + 31000*x + 100000.
(x + 4)*(x + 50)**3/5
Suppose 2*w**3/3 - 28*w**2/3 + 70*w/3 + 100/3 = 0. Calculate w.
-1, 5, 10
Let 4*f**4 + 16*f**3 - 20*f**2 - 144*f - 144 = 0. What is f?
-3, -2, 3
Factor -5*g**3 - 185*g**2 + 385*g - 195.
-5*(g - 1)**2*(g + 39)
Determine b, given that -5*b**2 + 900*b - 2655 = 0.
3, 177
Suppose 3*y**3 - 3726*y**2 + 1542564*y - 212873832 = 0. Calculate y.
414
Suppose -2*g**3/9 - 