2.
2*(o - 11)*(3*o + 1)
Factor 4*a**4 + 40*a**3 - 28*a**2 - 784*a.
4*a*(a - 4)*(a + 7)**2
Factor -4*j**3 + 32*j**2 + 180*j + 144.
-4*(j - 12)*(j + 1)*(j + 3)
Solve r**4 - 17*r**3 + 80*r**2 - 64*r = 0 for r.
0, 1, 8
Factor 45*u**4 + 300*u**3 + 215*u**2 - 740*u + 300.
5*(u + 3)*(u + 5)*(3*u - 2)**2
Factor 2*l**3/11 + 1752*l**2/11 + 511584*l/11 + 49794176/11.
2*(l + 292)**3/11
Factor -a**4/9 - 62*a**3/9 + 131*a**2/9 + 64*a/3.
-a*(a - 3)*(a + 1)*(a + 64)/9
Suppose 36*y**2 - 4*y = 0. Calculate y.
0, 1/9
Factor -2*n**4 - 18*n**3 + 68*n**2 - 48*n.
-2*n*(n - 2)*(n - 1)*(n + 12)
Factor 2*s**3/3 - 106*s**2/3 + 398*s/3 - 98.
2*(s - 49)*(s - 3)*(s - 1)/3
Factor -2*m**3/19 - 12*m**2/19 + 134*m/19 - 120/19.
-2*(m - 5)*(m - 1)*(m + 12)/19
Factor x**5 - 2*x**4 - 3*x**3.
x**3*(x - 3)*(x + 1)
Solve -3*r**3 - 12*r**2 - 15*r - 6 = 0.
-2, -1
Factor -3*x**3 + 9*x**2 + 3*x - 9.
-3*(x - 3)*(x - 1)*(x + 1)
Solve -4*w**2 + 116*w - 400 = 0.
4, 25
Factor w**2/3 + 205*w/3 + 406/3.
(w + 2)*(w + 203)/3
Let 2*x**3 + 16*x**2 - 86*x - 220 = 0. What is x?
-11, -2, 5
Factor -2*i**2/11 - 2*i + 360/11.
-2*(i - 9)*(i + 20)/11
Determine m so that 3*m**3 - 9*m**2 - 72*m - 84 = 0.
-2, 7
Solve 6*v**5/5 - 19*v**4/2 + 243*v**3/10 - 187*v**2/10 - 39*v/10 + 9/5 = 0 for v.
-1/3, 1/4, 2, 3
Factor 4*p**4 + 2*p**3 + p**2/4.
p**2*(4*p + 1)**2/4
Solve 4*y**4/9 - 74*y**3/9 + 182*y**2/9 + 1562*y/9 + 242/3 = 0.
-3, -1/2, 11
Factor -u**5 + 2*u**4 + 4*u**3 - 8*u**2.
-u**2*(u - 2)**2*(u + 2)
Factor -4*c**4 + 52*c**2 - 48*c.
-4*c*(c - 3)*(c - 1)*(c + 4)
Factor -5*m**3 - 65*m**2 + 340*m.
-5*m*(m - 4)*(m + 17)
Let -4*j**2 - 380*j + 384 = 0. What is j?
-96, 1
Factor 5*q**2 + 145*q - 310.
5*(q - 2)*(q + 31)
Determine l so that 91*l**4 - 955*l**3/2 + 223*l**2/2 + 5*l = 0.
-1/26, 0, 2/7, 5
Factor 2*y**2/5 + 114*y/5 - 236/5.
2*(y - 2)*(y + 59)/5
Let -4*w**4 - 1068*w**3 + 2156*w**2 + 1068*w - 2152 = 0. What is w?
-269, -1, 1, 2
Factor 4*n**2/5 - 984*n/5 - 2988/5.
4*(n - 249)*(n + 3)/5
Factor -m**2/2 + 9*m/2 - 9.
-(m - 6)*(m - 3)/2
Determine x, given that x**4/2 - 13*x**3/2 + 43*x**2/2 - 15*x/2 - 36 = 0.
-1, 3, 8
Factor -f**2/6 + 62*f - 5766.
-(f - 186)**2/6
Factor 3*d**4 + 1068*d**3 + 93978*d**2 - 191172*d + 96123.
3*(d - 1)**2*(d + 179)**2
Determine b, given that -3*b**3/5 + 66*b**2/5 + 3612*b/5 + 5880 = 0.
-14, 50
Find a, given that a**2/5 + a + 6/5 = 0.
-3, -2
Solve -3*x**2/4 - 9*x/2 = 0 for x.
-6, 0
Determine m so that 6*m**3 + 10310*m**2/3 - 4208*m + 2296/3 = 0.
-574, 2/9, 1
Find c such that -1424163*c**2 + 33072*c - 192 = 0.
8/689
Suppose 245*f**4 - 29540*f**3 + 45975*f**2 - 19060*f + 2380 = 0. What is f?
2/7, 1, 119
Let -4*r**4 - 32*r**3 + 552*r**2 - 1120*r - 1700 = 0. What is r?
-17, -1, 5
Factor -y**4 + 228*y**2 + 448*y.
-y*(y - 16)*(y + 2)*(y + 14)
Factor -s**3/4 - 7*s**2/4 + 49*s/4 + 343/4.
-(s - 7)*(s + 7)**2/4
Factor -2*b**3/11 - 1136*b**2/11 - 161312*b/11.
-2*b*(b + 284)**2/11
Factor -j**2/9 + 293*j/9 + 296/3.
-(j - 296)*(j + 3)/9
Factor -y**5 + 54*y**4 - 144*y**3 - 486*y**2 + 1377*y.
-y*(y - 51)*(y - 3)**2*(y + 3)
Determine a, given that -a**4 + 6*a**3 - 9*a**2 + 4*a = 0.
0, 1, 4
Suppose -4*g**4 - 4*g**3 + 4*g**2 + 4*g = 0. What is g?
-1, 0, 1
Let k**5/2 - 84*k**4 - 1031*k**3/2 - 1125*k**2 - 1042*k - 348 = 0. What is k?
-2, -1, 174
Factor -2*a**2/17 - 58*a/17.
-2*a*(a + 29)/17
Factor 3*v**2/2 - 27*v/2 - 15.
3*(v - 10)*(v + 1)/2
Find i, given that -52*i**2 + 76*i - 24 = 0.
6/13, 1
Factor -2*c**3 - 350*c**2 + 2154*c - 3258.
-2*(c - 3)**2*(c + 181)
Solve 2*u**5/13 - 70*u**4/13 - 224*u**3/13 - 152*u**2/13 = 0.
-2, -1, 0, 38
Factor -6*g**4 + 34*g**3 - 18*g**2 - 10*g.
-2*g*(g - 5)*(g - 1)*(3*g + 1)
Determine y so that -2*y**5/9 + 16*y**4/9 + 142*y**3/9 + 340*y**2/9 + 328*y/9 + 112/9 = 0.
-2, -1, 14
Factor -v**3/2 + 15*v**2/4 - 7*v/4.
-v*(v - 7)*(2*v - 1)/4
Solve 165*q**5 + 3204*q**4 - 5703*q**3 - 4482*q**2 + 3756*q - 504 = 0 for q.
-21, -1, 2/11, 2/5, 2
Suppose 3*u**5 - 42*u**4 + 105*u**3 - 66*u**2 = 0. What is u?
0, 1, 2, 11
Determine m, given that -10*m**4 + 54*m**3 + 46*m**2 - 54*m - 36 = 0.
-1, -3/5, 1, 6
Factor -2*t**2/13 + 18364*t/13 - 42154562/13.
-2*(t - 4591)**2/13
Find y such that y**3/3 - 27*y**2 + 329*y - 3283/3 = 0.
7, 67
Suppose 4*h**4 - 76*h**3 - 164*h**2 - 84*h = 0. What is h?
-1, 0, 21
Factor 2*l**4 - 2*l**3 - 70*l**2 + 258*l - 252.
2*(l - 3)**2*(l - 2)*(l + 7)
Find u such that -2*u**5/13 + 60*u**4/13 - 444*u**3/13 - 176*u**2/13 + 1230*u/13 + 900/13 = 0.
-1, 2, 15
Determine i, given that 3*i**5 + 1773*i**4 - 10707*i**3 + 23247*i**2 - 21480*i + 7164 = 0.
-597, 1, 2
Solve 5*o**2 - 15*o = 0 for o.
0, 3
Let 3*d**2/7 + 18*d/7 + 24/7 = 0. What is d?
-4, -2
Factor -2*f**3/25 + 98*f**2/25 - 38*f/5 + 94/25.
-2*(f - 47)*(f - 1)**2/25
Factor 3*f**2 - 12*f + 9.
3*(f - 3)*(f - 1)
Determine r so that r**4 + r**3 - 36*r**2 - 36*r = 0.
-6, -1, 0, 6
Factor 4*l**3/3 + 8*l**2/3.
4*l**2*(l + 2)/3
Solve 2*a**3/9 - 286*a**2/3 + 190*a - 854/9 = 0 for a.
1, 427
Determine k so that -3*k**3 + 30*k**2 - 63*k = 0.
0, 3, 7
Determine h, given that -4*h**3 - 268*h**2 - 264*h = 0.
-66, -1, 0
What is k in -4*k**3/5 + 4*k**2/5 + 224*k/5 = 0?
-7, 0, 8
Solve 7*g**4/5 - 26*g**3/5 + 13*g**2/5 + 6*g/5 = 0 for g.
-2/7, 0, 1, 3
Find m such that -m**4/4 + 3*m**3/4 - m**2/2 = 0.
0, 1, 2
Factor -i**2/8 + i + 9/8.
-(i - 9)*(i + 1)/8
Factor 4*t**2 - 8*t.
4*t*(t - 2)
Factor -2*w**3/13 - 40*w**2/13 + 184*w/13 - 192/13.
-2*(w - 2)**2*(w + 24)/13
What is q in 2284*q**4/3 - 2282*q**3/3 - 762*q**2 + 2282*q/3 + 2/3 = 0?
-1, -1/1142, 1
Factor -31*f**4 + 86*f**3 + 28*f**2 - 152*f.
-f*(f - 2)**2*(31*f + 38)
Solve 4*f**2 + 56*f + 96 = 0 for f.
-12, -2
Determine l so that -9*l**3/2 - 21*l**2/2 - 3*l = 0.
-2, -1/3, 0
Solve -o**4/3 - 35*o**3 - 202*o**2 - 1196*o/3 - 264 = 0 for o.
-99, -2
Factor u**4 + 7*u**3 + 4*u**2 - 12*u.
u*(u - 1)*(u + 2)*(u + 6)
Factor -5*w**3 - 25*w**2 + 40*w + 60.
-5*(w - 2)*(w + 1)*(w + 6)
Factor 3*b**2/8 + 45*b/8 - 51/4.
3*(b - 2)*(b + 17)/8
Suppose 2*l**3 + 40*l**2 + 174*l - 216 = 0. What is l?
-12, -9, 1
Determine p, given that 5*p**4 + 185*p**3 + 760*p**2 - 1520*p - 7680 = 0.
-32, -4, 3
What is j in -j**3 - 4*j**2 + j + 4 = 0?
-4, -1, 1
Suppose y**5/8 - 17*y**4/8 + 69*y**3/8 - 115*y**2/8 + 43*y/4 - 3 = 0. Calculate y.
1, 2, 12
Let 4*n**4/3 - 152*n**3/3 + 544*n**2/3 = 0. Calculate n.
0, 4, 34
Factor 2*z**4 + 50*z**3 + 138*z**2 + 134*z + 44.
2*(z + 1)**3*(z + 22)
Find m, given that -76*m**5/7 - 220*m**4/7 + 708*m**3/7 - 452*m**2/7 + 40*m/7 = 0.
-5, 0, 2/19, 1
Factor -5*x**3 - 445*x**2 + 450*x.
-5*x*(x - 1)*(x + 90)
Solve -14*q**2 + 430*q + 124 = 0 for q.
-2/7, 31
Find s such that s**2 - 3240*s = 0.
0, 3240
Determine w so that -w**4/4 + 248*w**3 - 246015*w**2/4 - 248*w + 61504 = 0.
-1, 1, 496
Factor -5*i**3 - 395*i**2 - 1870*i - 1480.
-5*(i + 1)*(i + 4)*(i + 74)
Solve j**2/6 + 9*j/2 + 46/3 = 0.
-23, -4
Let -d**2/3 + 5*d/3 + 14/3 = 0. What is d?
-2, 7
Suppose -v**5 + 37*v**4 + 293*v**3 + 651*v**2 + 396*v = 0. Calculate v.
-3, -1, 0, 44
Factor r**3/4 - 481*r**2/4 - 965*r/4 - 483/4.
(r - 483)*(r + 1)**2/4
Factor 2*j**2/7 + 18*j/7 + 16/7.
2*(j + 1)*(j + 8)/7
Factor 2*s**3/3 + 238*s**2/3 - 482*s/3 + 242/3.
2*(s - 1)**2*(s + 121)/3
Factor -w**5 - 7*w**4 + 2*w**3 + 46*w**2 - 65*w + 25.
-(w - 1)**3*(w + 5)**2
Solve -2*z**4/19 - 8*z**3/19 + 26*z**2/19 + 8*z/19 - 24/19 = 0 for z.
-6, -1, 1, 2
Let -3*y**2 + 654*y - 35643 = 0. Calculate y.
109
Determine h, given that 72*h**3 + 141*h**2 - 6*h = 0.
-2, 0, 1/24
Factor -5*y**3 + 10*y**2 + 275*y - 280.
-5*(y - 8)*(y - 1)*(y + 7)
Solve -2*z**2/3 - 4312*z/3 - 2324168/3 = 0.
-1078
Solve -3*o**4 + 75*o**3 - 267*o**2 + 321*o - 126 = 0.
1, 2, 21
Let -2*j**5/13 + 10*j**4/13 + 34*j**3/13 - 250*j**2/13 + 368*j/13 - 160/13 = 0. What is j?
-5, 1, 4
Solve 5*k**4 - 140*k**3 - 620*k**2 - 640*k = 0.
-2, 0, 32
Factor -4*a**3 - 204*a**2 - 2268*a + 8748.
-4*(a - 3)*(a + 27)**2
Factor -m**3/2 + 3*m**2 + 7*m/2.
-m*(m - 7)*(m + 1)/2
Solve -4*s**5 + 2*s**4 + 50*s**3 + 40*s**2 - 56*s - 32 = 0 for s.
-2, -1/2, 1, 4
Suppose 3*c**4 + 123*c**3 - 810*c**2 + 1668*c - 1128 = 0. Calculate c.
-47, 2
Solve f**3 + 6*f**2 - 7*f = 0.
-7, 0, 1
What is u in 4*u**4/3 - 8*u**3 = 0?
0, 6
Factor 2*a**2 - 315*a/2 - 319/2.
(a + 1)*(4*a - 319)/2
Suppose -x**2/7 + 90*x/7 - 2025/7 = 0. What is x?
45
Determine u so that 50*u**