*a**2/11 - 1272*a/11 - 144/11.
-(a - 3)**2*(19*a + 4)**2/11
Factor -2*l**2/9 + 44*l/9 - 14/3.
-2*(l - 21)*(l - 1)/9
Factor -9*b**2 + 69*b + 108.
-3*(b - 9)*(3*b + 4)
Factor -5*b**2 + 35*b - 30.
-5*(b - 6)*(b - 1)
Factor -q**3/5 + 6*q**2 - 107*q/5 + 78/5.
-(q - 26)*(q - 3)*(q - 1)/5
Suppose -2*o**2/3 + 50*o/3 + 100 = 0. Calculate o.
-5, 30
Find k such that 5*k**5/3 - 10*k**4 + 65*k**3/3 - 20*k**2 + 20*k/3 = 0.
0, 1, 2
Solve 5*g**5 - 945*g**4 + 45080*g**3 - 36600*g**2 - 364720*g + 530160 = 0.
-3, 2, 94
Suppose -48778*f**4/7 + 107648*f**3/7 - 20880*f**2/7 + 1408*f/7 - 32/7 = 0. What is f?
2/29, 2
Solve 34*d**3/5 + 24*d**2/5 - 2*d = 0.
-1, 0, 5/17
What is i in 2*i**2 + 238*i + 236 = 0?
-118, -1
Determine n, given that 45*n**2 - 635*n - 600 = 0.
-8/9, 15
Factor -m**2/3 + 14*m - 147.
-(m - 21)**2/3
Solve 2*v**2 + 144*v + 2592 = 0.
-36
Factor 5*b**3 + 210*b**2 + 2275*b + 2070.
5*(b + 1)*(b + 18)*(b + 23)
Factor 2*s**4/5 + 32*s**3 - 666*s**2/5 + 504*s/5.
2*s*(s - 3)*(s - 1)*(s + 84)/5
Factor -5*m**4 - 70*m**3 - 55*m**2 + 130*m.
-5*m*(m - 1)*(m + 2)*(m + 13)
What is v in -2*v**3/7 + 94*v**2/7 - 58*v - 18502/7 = 0?
-11, 29
Find d, given that 4*d**3 - 64*d**2 + 256*d = 0.
0, 8
What is y in -y**4/2 - 11*y**3/2 - 35*y**2/2 - 25*y/2 = 0?
-5, -1, 0
Suppose 3*r**2/7 - 87*r/7 - 510/7 = 0. Calculate r.
-5, 34
Factor 5*d**3/4 + 1265*d**2/4 - 325*d - 1905.
5*(d - 3)*(d + 2)*(d + 254)/4
Determine f, given that -2*f**4 - 30*f**3 + 32*f**2 = 0.
-16, 0, 1
Factor 3*x**4/7 - 618*x**3/7 + 10476*x**2/7 - 61560*x/7 + 121824/7.
3*(x - 188)*(x - 6)**3/7
Factor -l**2 - 2244*l - 1258884.
-(l + 1122)**2
Factor -4*c**2 + 5268*c.
-4*c*(c - 1317)
Let -3*r**4 - 2832*r**3 - 665514*r**2 + 1339536*r - 671187 = 0. Calculate r.
-473, 1
Factor 3*a**2 + 2172*a - 2175.
3*(a - 1)*(a + 725)
Solve 4*y**3/5 + 248*y**2 + 1236*y/5 = 0 for y.
-309, -1, 0
Factor o**5 + 8*o**4 - 10*o**3 - 8*o**2 + 9*o.
o*(o - 1)**2*(o + 1)*(o + 9)
Factor -5*j**3 + 150*j**2 - 1125*j.
-5*j*(j - 15)**2
Solve -5400*p**3 - 585*p**2 + 444*p - 36 = 0.
-3/8, 2/15
Find z, given that 5*z**5 + 15*z**4 - 65*z**3 - 35*z**2 + 180*z - 100 = 0.
-5, -2, 1, 2
Find b, given that -2*b**2/3 - 4444*b/3 = 0.
-2222, 0
Factor -2*o**2 + 80*o + 1792.
-2*(o - 56)*(o + 16)
Factor 4*z**4/7 + 876*z**3/7 + 3456*z**2/7 + 3440*z/7.
4*z*(z + 2)**2*(z + 215)/7
Suppose i**4 - 18*i**3 + 47*i**2 - 30*i = 0. What is i?
0, 1, 2, 15
Let -3*l**3 - 207*l**2 - 402*l = 0. What is l?
-67, -2, 0
Suppose -w**5 + 6*w**4 + 24*w**3 - 80*w**2 - 336*w - 288 = 0. Calculate w.
-2, 6
Factor 3*h**3 - 111*h**2 - 231*h - 117.
3*(h - 39)*(h + 1)**2
Solve i**2 + 258*i + 257 = 0.
-257, -1
Factor -w**5 - 10*w**4 - 28*w**3 + 8*w**2 + 128*w + 128.
-(w - 2)*(w + 2)**2*(w + 4)**2
Factor -w**3 + 14*w**2 + 111*w + 180.
-(w - 20)*(w + 3)**2
Factor -f**2/2 + 69*f/2.
-f*(f - 69)/2
Suppose -3*l**4 - 21*l**3 = 0. Calculate l.
-7, 0
Find p such that -9*p**4 + 132*p**3 - 597*p**2 + 990*p - 432 = 0.
2/3, 3, 8
Factor v**2/3 + 8*v/3 + 5.
(v + 3)*(v + 5)/3
Factor -16*g**4/3 + 184*g**3/3 + 100*g**2 + 154*g/3 + 26/3.
-2*(g - 13)*(2*g + 1)**3/3
Factor -5*c**2 + 65*c - 60.
-5*(c - 12)*(c - 1)
Suppose t**3/4 - 795*t**2/4 - 797*t/2 = 0. Calculate t.
-2, 0, 797
Factor -2*r**3/7 + 46*r**2/7 + 208*r/7 + 216/7.
-2*(r - 27)*(r + 2)**2/7
Suppose -5*p**2 + 80*p - 320 = 0. What is p?
8
Factor -5*z**2 + 2015*z + 2020.
-5*(z - 404)*(z + 1)
Solve 3*v**3 - 45*v**2 - 1071*v + 16473 = 0.
-19, 17
Factor 4*b**2/3 - 2*b.
2*b*(2*b - 3)/3
Factor 2*o**4/3 - 2*o**3 - 4*o**2 + 16*o/3.
2*o*(o - 4)*(o - 1)*(o + 2)/3
Factor -4*y**4 + 72*y**3 - 336*y**2 + 608*y - 384.
-4*(y - 12)*(y - 2)**3
Factor 2*z**5 - 20*z**4 + 16*z**3 + 20*z**2 - 18*z.
2*z*(z - 9)*(z - 1)**2*(z + 1)
Suppose -p**5/4 + 3*p**4/2 + 19*p**3/4 - 22*p**2 + 3*p + 28 = 0. What is p?
-4, -1, 2, 7
What is g in 5*g**2 - 695*g + 690 = 0?
1, 138
Factor -35*w**3 + 30*w**2 + 5*w.
-5*w*(w - 1)*(7*w + 1)
Solve -4*q**3 - 256*q**2 + 1072*q - 1088 = 0.
-68, 2
Determine b so that b**3 + 11*b**2 + 35*b + 25 = 0.
-5, -1
Factor -i**4/11 + i**3/11 + 57*i**2/11 - 113*i/11 + 56/11.
-(i - 7)*(i - 1)**2*(i + 8)/11
Factor -2*q**2 - 216*q + 440.
-2*(q - 2)*(q + 110)
Factor y**4/2 - 231*y**3 + 35574*y**2 - 1826132*y.
y*(y - 154)**3/2
Factor n**3/4 + 39*n**2/2 - 79*n/4.
n*(n - 1)*(n + 79)/4
Determine t, given that 3*t**3 + 5886*t**2 + 2892960*t + 5762400 = 0.
-980, -2
Suppose g**4/4 - 17*g**3/4 - 3*g**2/4 + 53*g/4 - 17/2 = 0. Calculate g.
-2, 1, 17
Solve -4*b**3/3 - 760*b**2/3 = 0 for b.
-190, 0
Let -4*k**5 + 8*k**4 - 8*k**2 + 4*k = 0. What is k?
-1, 0, 1
Factor m**3 + 6*m**2 - 7*m.
m*(m - 1)*(m + 7)
Suppose -6*d**5 + 447*d**4 - 10953*d**3 + 86457*d**2 + 46023*d = 0. Calculate d.
-1/2, 0, 23, 29
Factor -4*z**2/7 - 68*z/7.
-4*z*(z + 17)/7
What is d in -3*d**2/7 - 465*d/7 - 918/7 = 0?
-153, -2
Factor -o**3/3 - 5*o**2/3 - 7*o/3 - 1.
-(o + 1)**2*(o + 3)/3
Determine z, given that 15*z**5 + 171*z**4 + 471*z**3 - 3*z**2 - 486*z - 168 = 0.
-7, -4, -1, -2/5, 1
Factor 2*p**4/3 + 62*p**3 - 572*p**2/3 + 128*p.
2*p*(p - 2)*(p - 1)*(p + 96)/3
Factor 3*t**3 + 678*t**2 + 42051*t + 412164.
3*(t + 12)*(t + 107)**2
Let -3*i**5/5 - 43*i**4/5 + 79*i**3/5 - 17*i**2/5 - 16*i/5 = 0. What is i?
-16, -1/3, 0, 1
Solve -12*s**3 - 4180*s**2 - 1392*s = 0 for s.
-348, -1/3, 0
Suppose s**3/4 + 5*s**2/2 + 9*s/4 = 0. Calculate s.
-9, -1, 0
Suppose 28*n**4 + 436*n**3/5 + 392*n**2/5 + 96*n/5 = 0. What is n?
-12/7, -1, -2/5, 0
Factor -d**3/4 - 7*d**2 - 35*d + 100.
-(d - 2)*(d + 10)*(d + 20)/4
Factor 4*t**2 - 36*t - 144.
4*(t - 12)*(t + 3)
Let 3*r**3/2 - 66*r**2 + 129*r/2 = 0. Calculate r.
0, 1, 43
Suppose 2*n**2/11 + 800*n/11 + 80000/11 = 0. Calculate n.
-200
What is s in -2*s**5/5 - 6*s**4 - 154*s**3/5 - 66*s**2 - 252*s/5 = 0?
-7, -3, -2, 0
Factor 2*r**4 + 22*r**3 + 86*r**2 + 138*r + 72.
2*(r + 1)*(r + 3)**2*(r + 4)
Factor -h**3/3 - 2*h**2 - 11*h/3 - 2.
-(h + 1)*(h + 2)*(h + 3)/3
Factor 2*n**5/11 + 2*n**4/11 - 60*n**3/11.
2*n**3*(n - 5)*(n + 6)/11
Factor -h**4 - 18*h**3 - 73*h**2 - 108*h - 52.
-(h + 1)*(h + 2)**2*(h + 13)
Solve -m**4/4 - 5*m**3/4 + 7*m**2/4 + 41*m/4 + 15/2 = 0.
-5, -2, -1, 3
Factor v**3/3 + 7*v**2 - 54*v.
v*(v - 6)*(v + 27)/3
Suppose -5*v**5 + 55*v**4 - 170*v**3 + 230*v**2 - 145*v + 35 = 0. What is v?
1, 7
Factor 3*t**3 - 9*t**2 - 12*t.
3*t*(t - 4)*(t + 1)
Let 4*r**2 - 28*r + 24 = 0. Calculate r.
1, 6
What is d in -30*d**3 - 32*d**2 + 134*d/3 + 52/3 = 0?
-26/15, -1/3, 1
What is y in -3*y**2/4 - 11*y/2 - 10 = 0?
-4, -10/3
Solve -2*g**3/3 - 10*g**2/3 - 2*g + 6 = 0.
-3, 1
Find z such that -5*z**5 - 1880*z**4 + 3780*z**3 = 0.
-378, 0, 2
Factor 4*r**4 - 32*r**3 + 24*r**2 + 32*r - 28.
4*(r - 7)*(r - 1)**2*(r + 1)
Factor 279075*v**2/2 + 915*v + 3/2.
3*(305*v + 1)**2/2
Find x, given that -x**4/9 + 19*x**2/9 + 2*x/3 - 8 = 0.
-3, 2, 4
Solve -2*b**3/21 - 34*b**2/21 - 62*b/21 - 10/7 = 0 for b.
-15, -1
Determine h so that -h**2/3 + 8*h/3 + 60 = 0.
-10, 18
Find x, given that -x**2/3 - 5*x/3 + 8 = 0.
-8, 3
Solve -4*w**4/3 + 536*w**3 - 56988*w**2 + 627120*w - 1825200 = 0.
6, 195
Factor -4*t**3/7 + 16*t**2/7 - 4*t/7 - 24/7.
-4*(t - 3)*(t - 2)*(t + 1)/7
Let -v**4/9 - 11*v**3/3 - 272*v**2/9 - 80*v/3 = 0. What is v?
-20, -12, -1, 0
Factor l**3 - 18*l**2 + 17*l.
l*(l - 17)*(l - 1)
Find q such that 2*q**5/3 + 116*q**4/3 + 112*q**3/3 - 116*q**2/3 - 38*q = 0.
-57, -1, 0, 1
Determine u, given that -9*u**5 - 246*u**4 + 447*u**3 + 336*u**2 - 348*u = 0.
-29, -1, 0, 2/3, 2
Factor -4*m**3 + 476*m**2 + 480*m.
-4*m*(m - 120)*(m + 1)
Factor -22*c**2 + 107*c + 15.
-(c - 5)*(22*c + 3)
Factor -s**3/4 + 9*s**2 + 37*s/4.
-s*(s - 37)*(s + 1)/4
Suppose 2*f**3 + 484*f**2/3 - 54*f = 0. Calculate f.
-81, 0, 1/3
Suppose -v**5/5 - 43*v**4/5 + 606*v**3/5 - 2862*v**2/5 + 5859*v/5 - 891 = 0. What is v?
-55, 3
Factor -a**4/5 - 24*a**3/5 + 36*a**2 - 32*a/5 - 192.
-(a - 4)**2*(a + 2)*(a + 30)/5
Factor -5*c**4 + 175*c**3 - 1440*c**2 - 1620*c.
-5*c*(c - 18)**2*(c + 1)
Suppose -2*b**3/5 + 4*b**2 + 126*b/5 - 1296/5 = 0. Calculate b.
-8, 9
Find h, given that -5*h**5 + 30*h**4 - 60*h**3 + 50*h**2 - 15*h = 0.
0, 1, 3
Find l, given that -l**3/6 - 74*l**2 - 8502*l - 190096/3 = 0.
-218, -8
Determine k, given that 2*k**4/7 + 82*k**3/7 + 234*k**2/7 + 230*k/7 + 76/7 = 0.
-38, -1
Factor -2*q**4 + 28*q**3 - 24*q**2 - 28*q + 26.
-2*(q - 13)*(q - 1)**2*(q + 1)
Facto