0.
-4, -1, 1, 3/2
Factor 18*t**5 - 37*t**4 + 20*t**3 - t**2.
t**2*(t - 1)**2*(18*t - 1)
Suppose f**4 - 11*f**3 + 35*f**2 - 13*f - 60 = 0. What is f?
-1, 3, 4, 5
Determine k, given that -21*k**5 + 1980*k**4 - 42837*k**3 - 181374*k**2 - 146412*k + 57624 = 0.
-2, 2/7, 49
Solve u**3 + 56*u**2 + 259*u + 204 = 0 for u.
-51, -4, -1
Suppose i**4/2 + 23*i**3/4 - 17*i**2 - 233*i + 120 = 0. Calculate i.
-10, -8, 1/2, 6
Solve m**2 + 2864*m + 2050624 = 0.
-1432
Suppose w**2/6 + 436*w/3 = 0. Calculate w.
-872, 0
Determine u, given that 3*u**2 - 2448*u = 0.
0, 816
Find y such that -y**4/2 - 5*y**3/2 - 9*y**2/2 - 7*y/2 - 1 = 0.
-2, -1
Let q**2 + 28*q - 29 = 0. What is q?
-29, 1
Factor 2*u**2/3 - 700*u/3 - 234.
2*(u - 351)*(u + 1)/3
Factor -2*c**3 + 4*c**2 + 208*c + 384.
-2*(c - 12)*(c + 2)*(c + 8)
Suppose u**3 - 121*u**2 + 920*u - 1808 = 0. Calculate u.
4, 113
Factor -20*b**4 + 84*b**3 - 64*b.
-4*b*(b - 4)*(b - 1)*(5*b + 4)
Factor 13*d**2/2 + 219*d/2 - 17.
(d + 17)*(13*d - 2)/2
Factor -6*z**3/5 + 8*z**2 + 122*z/5 + 36/5.
-2*(z - 9)*(z + 2)*(3*z + 1)/5
Factor -4*h**3 + 56*h**2 - 140*h - 200.
-4*(h - 10)*(h - 5)*(h + 1)
Factor 3*d**5/2 + 57*d**4/2 + 27*d**3.
3*d**3*(d + 1)*(d + 18)/2
What is s in -2*s**3/11 - 14*s**2 - 3040*s/11 - 2888/11 = 0?
-38, -1
Factor 150*n**5 - 305*n**4 + 10*n**3.
5*n**3*(n - 2)*(30*n - 1)
Factor x**3 + 2087*x**2 + 1087848*x - 1089936.
(x - 1)*(x + 1044)**2
Suppose -s**2 + 7*s + 8 = 0. What is s?
-1, 8
Suppose -5*p**4 - 45*p**3 + 450*p**2 - 160*p - 2400 = 0. Calculate p.
-15, -2, 4
Factor 2*k**5 - 56*k**4 + 392*k**3.
2*k**3*(k - 14)**2
Solve 7*k**4/2 - 67*k**3/2 + 141*k**2/2 - 109*k/2 + 14 = 0.
4/7, 1, 7
Factor 5*d**2 + 365*d + 6510.
5*(d + 31)*(d + 42)
Factor -m**2 - 12*m + 405.
-(m - 15)*(m + 27)
Factor c**4 + 194*c**3 - 988*c**2 + 1390*c - 597.
(c - 3)*(c - 1)**2*(c + 199)
What is d in 156*d**3 + 1863*d**2 + 5508*d - 324 = 0?
-6, 3/52
Determine u, given that 15*u**2/4 - 159*u/4 - 33/2 = 0.
-2/5, 11
Factor 4*d**3 + 84*d**2 + 296*d - 384.
4*(d - 1)*(d + 6)*(d + 16)
Factor -2*i**3/5 + 2*i/5.
-2*i*(i - 1)*(i + 1)/5
Determine i so that 5*i**3 - 310*i**2 + 4805*i = 0.
0, 31
Determine m so that m**5 + 8*m**4 - 19*m**3 + 10*m**2 = 0.
-10, 0, 1
Solve i**2/3 - 104*i/3 + 2704/3 = 0 for i.
52
Solve -11532*q**2 - 372*q - 3 = 0.
-1/62
Factor s**2/2 - 3*s/2.
s*(s - 3)/2
Factor t**2/4 - 427*t/12 + 71/6.
(t - 142)*(3*t - 1)/12
Factor 2*n**3/5 - 18*n**2/5 - 8*n/5 + 72/5.
2*(n - 9)*(n - 2)*(n + 2)/5
Let -4*p**5 - 1896*p**4 - 291744*p**3 - 13296960*p**2 + 192735936*p - 612220032 = 0. Calculate p.
-162, 6
Factor -2*y**3/11 - 24*y**2/11 - 54*y/11.
-2*y*(y + 3)*(y + 9)/11
Solve b**4/3 - 14*b**3 + 149*b**2/3 + 44*b - 228 = 0.
-2, 3, 38
Factor -2*c**3/13 + 12*c**2/13 + 62*c/13 - 72/13.
-2*(c - 9)*(c - 1)*(c + 4)/13
Factor 5*m**3/2 - 565*m**2/2 + 14455*m/2 + 87025/2.
5*(m - 59)**2*(m + 5)/2
Factor 2*x**3 + 64*x**2 + 504*x.
2*x*(x + 14)*(x + 18)
Suppose 3*n**3/7 - 33*n**2/7 + 24*n/7 + 60/7 = 0. What is n?
-1, 2, 10
Let 3*d**4 + 81*d**3 + 147*d**2 - 81*d - 150 = 0. Calculate d.
-25, -2, -1, 1
Factor -3*i**2/4 - 243*i/4 - 60.
-3*(i + 1)*(i + 80)/4
Factor -565*j**2 + 570*j - 5.
-5*(j - 1)*(113*j - 1)
Factor -2*m**4/5 + 2*m**2/5.
-2*m**2*(m - 1)*(m + 1)/5
Factor 3*q**3 - 39*q**2.
3*q**2*(q - 13)
Solve -w**4 - 30*w**3 + 96*w**2 - 98*w + 33 = 0 for w.
-33, 1
Factor 3*o**5 + 12*o**4 - 48*o**3 - 192*o**2.
3*o**2*(o - 4)*(o + 4)**2
Determine x so that 5*x**3 - 50*x**2 = 0.
0, 10
Find g such that -2*g**2 - 112*g + 1632 = 0.
-68, 12
Factor 3*g**2/7 - 1146*g/7 - 1149/7.
3*(g - 383)*(g + 1)/7
Suppose 4*v**2 - 13760*v + 11833600 = 0. What is v?
1720
Determine t so that 3*t**4 + 672*t**3 - 678*t**2 - 672*t + 675 = 0.
-225, -1, 1
Let 3*m**2/7 + 471*m/7 + 930/7 = 0. Calculate m.
-155, -2
Factor -2595*b**3/4 + 5187*b**2/2 - 2589*b - 6.
-3*(b - 2)**2*(865*b + 2)/4
Factor -k**4/2 + 7*k**3/2 - 7*k**2 + 4*k.
-k*(k - 4)*(k - 2)*(k - 1)/2
Factor -29*i**4/4 - 171*i**3/2 - 330*i**2 - 392*i + 96.
-(i + 4)**3*(29*i - 6)/4
Solve 20*a**3 + 10752*a**2 - 4304*a = 0.
-538, 0, 2/5
Find w such that 12*w**5 - 136*w**4 + 156*w**3 + 48*w**2 - 80*w = 0.
-2/3, 0, 1, 10
Factor 4*o**4/9 - 172*o**2/9 - 56*o/3.
4*o*(o - 7)*(o + 1)*(o + 6)/9
Factor -3*t**4 + 138*t**3 - 1119*t**2 - 10764*t - 18252.
-3*(t - 26)**2*(t + 3)**2
Factor -3*c**2 - 34200*c - 97470000.
-3*(c + 5700)**2
Suppose -d**2 + 4*d = 0. What is d?
0, 4
What is u in -14*u**5 + 1742*u**4/5 + 3918*u**3/5 + 2114*u**2/5 - 208*u/5 - 216/5 = 0?
-1, -2/5, 2/7, 27
Factor 4*v**2/3 - 1008*v + 190512.
4*(v - 378)**2/3
Suppose 4*j**5/7 - 4*j**4 - 4*j**3/7 + 4*j**2 = 0. What is j?
-1, 0, 1, 7
Factor -3*o**2/2 + 111*o/2.
-3*o*(o - 37)/2
Factor o**3/2 - 12*o**2 + 18*o + 88.
(o - 22)*(o - 4)*(o + 2)/2
Factor -g**2 + 93*g - 92.
-(g - 92)*(g - 1)
Determine q so that -3*q**5/2 + 41*q**4/2 - 88*q**3 + 134*q**2 - 56*q = 0.
0, 2/3, 2, 4, 7
Let -k**5/8 + 9*k**4/4 + 17*k**3 - 253*k**2/4 + 537*k/8 - 23 = 0. What is k?
-8, 1, 23
Factor 4*d**2 - 128*d + 1024.
4*(d - 16)**2
Suppose -9*c**5 + 78*c**4 - 27*c**3 - 162*c**2 - 48*c = 0. Calculate c.
-1, -1/3, 0, 2, 8
Factor -2*a**2/9 + 20*a/9 - 2.
-2*(a - 9)*(a - 1)/9
Find u, given that 2*u**2 - 1564*u + 3120 = 0.
2, 780
Let i**2/3 + 374*i/3 - 125 = 0. What is i?
-375, 1
What is g in -2*g**2 - 8736*g - 9539712 = 0?
-2184
Factor 2*l**3/5 + 24*l**2/5 - 266*l/5.
2*l*(l - 7)*(l + 19)/5
Find h such that -3*h**2/5 + 5*h = 0.
0, 25/3
Factor -19*w**5 + 135*w**4 - 299*w**3 + 277*w**2 - 102*w + 8.
-(w - 4)*(w - 1)**3*(19*w - 2)
Determine g so that 2*g**5/3 + 2*g**4 - 10*g**3/3 - 10*g**2 + 8*g/3 + 8 = 0.
-3, -2, -1, 1, 2
Suppose 5*g**4 - 145*g**3 + 750*g**2 + 5440*g - 12800 = 0. Calculate g.
-5, 2, 16
Solve -3*c**2/2 + 111*c/2 + 117 = 0.
-2, 39
Find w such that -w**2 - 115*w - 226 = 0.
-113, -2
Let -3*c**5 + 24*c**3 + 18*c**2 - 21*c - 18 = 0. Calculate c.
-2, -1, 1, 3
Determine i, given that -i**5 + 5*i**4 + 5*i**3 - 25*i**2 - 40*i - 16 = 0.
-1, 4
Factor 5*h**4 - 135*h**3 + 705*h**2 + 1835*h + 990.
5*(h - 18)*(h - 11)*(h + 1)**2
Find w such that -5*w**2 + 50*w + 55 = 0.
-1, 11
Factor -3*c**5 + 24*c**4 + 60*c**3 + 6*c**2 - 57*c - 30.
-3*(c - 10)*(c - 1)*(c + 1)**3
Suppose 2*b**2/9 + 26*b/9 - 136/9 = 0. Calculate b.
-17, 4
Find r such that r**2 + 19*r + 60 = 0.
-15, -4
Factor -4*u**3/7 - 20*u**2/7 - 24*u/7.
-4*u*(u + 2)*(u + 3)/7
Determine m so that m**5/11 + 72*m**4/11 + 1862*m**3/11 + 18772*m**2/11 + 20577*m/11 - 521284/11 = 0.
-19, 4
Factor -2*c**2 + 30*c + 68.
-2*(c - 17)*(c + 2)
Factor 2*p**5 - 10*p**4 + 4*p**3 + 16*p**2.
2*p**2*(p - 4)*(p - 2)*(p + 1)
Factor 2*y**3/7 + 48*y**2/7 - 2*y/7 - 48/7.
2*(y - 1)*(y + 1)*(y + 24)/7
Let 3*r**3/5 + 5499*r**2/5 + 3359889*r/5 + 684297393/5 = 0. What is r?
-611
Find y such that -y**5/8 - 3*y**4 - 97*y**3/4 - 72*y**2 - 405*y/8 = 0.
-9, -5, -1, 0
Factor 21*q**3 + 90*q**2 + 108*q + 24.
3*(q + 2)**2*(7*q + 2)
Factor 3*p**2 - 363*p + 3024.
3*(p - 112)*(p - 9)
Determine i, given that -i**3/3 - 48*i**2 - 2304*i - 36864 = 0.
-48
Factor -559*w**3/2 - w**2.
-w**2*(559*w + 2)/2
Factor 10*s**4 - 38*s**3 - 118*s**2 - 82*s - 12.
2*(s - 6)*(s + 1)**2*(5*s + 1)
Factor 3*z**4 - 75*z**3 - 723*z**2 + 1659*z - 864.
3*(z - 32)*(z - 1)**2*(z + 9)
Factor -k**5 + 5*k**4 + 43*k**3 + 67*k**2 + 30*k.
-k*(k - 10)*(k + 1)**2*(k + 3)
Factor p**4/5 - 12*p**3/5 + 46*p**2/5 - 12*p + 5.
(p - 5)**2*(p - 1)**2/5
Factor i**5/4 - i**4/2 - 7*i**3/4 - i**2.
i**2*(i - 4)*(i + 1)**2/4
Suppose 2*g**5/7 + 544*g**4/7 + 36986*g**3/7 - 1628*g**2/7 - 109888*g/7 + 73984/7 = 0. Calculate g.
-136, -2, 1
Let 5*x**5 - 555*x**4 - 5*x**3 + 555*x**2 = 0. What is x?
-1, 0, 1, 111
Factor 5*a**3 - 60*a**2 + 175*a.
5*a*(a - 7)*(a - 5)
Find y such that 2*y**3/5 + 46*y**2/5 + 62*y + 130 = 0.
-13, -5
Suppose v**3/5 - 153*v**2/5 + 7803*v/5 - 132651/5 = 0. What is v?
51
Let -2*p**2/7 + 2/7 = 0. What is p?
-1, 1
Factor -2*a**2/5 + 37*a/5 + 19/5.
-(a - 19)*(2*a + 1)/5
Factor 55*d**3/3 + 35*d**2/3 - 20*d/3.
5*d*(d + 1)*(11*d - 4)/3
Factor 2*z**4/19 + 14*z**3/19 + 20*z**2/19.
2*z**2*(z + 2)*(z + 5)/19
Factor -49*z**3/5 + 56*z**2/5 + 15*z + 18/5.
-(z - 2)*(7*z + 3)**2/5
Factor 5*d**4/3 - 272*d**3/3 - 452*d**2/3 + 224*d/3.
d*(d - 56)*(d + 2)*(5*d - 2)/3
Suppose -2*h**3 + 84*h**2 + 2*h - 84 = 0. Calculate h.
-1, 1, 42
Find b such that -2*b**3 - 36*b**2 - 66*b 