ch that -5*m**2 - 335*m - 650 = 0.
-65, -2
Factor 2*q**2/13 - 34*q/13 + 8.
2*(q - 13)*(q - 4)/13
Factor z**5/8 + 9*z**4/8 - 8*z**3 + 11*z**2 + 6*z - 14.
(z - 2)**3*(z + 1)*(z + 14)/8
Suppose 9*d**5 - 57*d**4 + 111*d**3 - 63*d**2 = 0. Calculate d.
0, 1, 7/3, 3
Factor n**5 + 7*n**4 + 19*n**3 + 25*n**2 + 16*n + 4.
(n + 1)**3*(n + 2)**2
What is f in -2*f**4/15 - 12*f**3/5 - 34*f**2/3 - 48*f/5 + 352/15 = 0?
-11, -4, 1
Solve 2*z**2/11 - 342*z/11 + 676/11 = 0.
2, 169
Factor -5*b**2 - 45*b - 90.
-5*(b + 3)*(b + 6)
Determine f so that f**2/3 + 54*f + 2187 = 0.
-81
Factor -2*w**3 + 30*w**2 - 28*w.
-2*w*(w - 14)*(w - 1)
Let 3*r**4/2 + 11*r**3/2 - 66*r**2 - 118*r - 48 = 0. Calculate r.
-8, -1, -2/3, 6
Let 3*r**5/2 - 3*r**4/2 - 21*r**3/2 + 3*r**2/2 + 9*r = 0. What is r?
-2, -1, 0, 1, 3
What is d in d**5 + 21*d**4 + 98*d**3 - 142*d**2 - 99*d + 121 = 0?
-11, -1, 1
Suppose -3*y**3/5 + 9*y**2/5 + 264*y/5 = 0. Calculate y.
-8, 0, 11
Factor -4*y**2 - 440*y + 896.
-4*(y - 2)*(y + 112)
Solve -2*q**5/3 + 3148*q**4/3 + 1052*q**3 - 9448*q**2/3 - 3154*q/3 + 2100 = 0 for q.
-2, -1, 1, 1575
Factor 18*x**3/7 + 1326*x**2/7 + 878*x/7 + 146/7.
2*(x + 73)*(3*x + 1)**2/7
Factor -3*h**4 - 50*h**3 + 257*h**2 - 332*h + 84.
-(h - 2)**2*(h + 21)*(3*h - 1)
Factor -g**3/2 + 24*g**2 - 369*g/2 - 209.
-(g - 38)*(g - 11)*(g + 1)/2
Factor -p**4/5 + p**3/5 + 4*p**2/5 - 4*p/5.
-p*(p - 2)*(p - 1)*(p + 2)/5
Factor -g**3/3 + 6*g**2 + g/3 - 6.
-(g - 18)*(g - 1)*(g + 1)/3
Let -3*y**2 - 84*y = 0. What is y?
-28, 0
Suppose -2*b**5/19 + 16*b**3/19 - 12*b**2/19 - 14*b/19 + 12/19 = 0. What is b?
-3, -1, 1, 2
Factor b**5 - 39*b**4 + 32*b**3 + 228*b**2.
b**2*(b - 38)*(b - 3)*(b + 2)
Factor h**5/2 + 5*h**4 + 12*h**3 - 5*h**2 - 25*h/2.
h*(h - 1)*(h + 1)*(h + 5)**2/2
Factor -4*z**3 - 96*z**2 + 4*z + 96.
-4*(z - 1)*(z + 1)*(z + 24)
Solve -2*d**3/13 - 94*d**2/13 = 0 for d.
-47, 0
Determine d, given that -d**4/12 + d**3/12 + 125*d**2/12 - 223*d/4 + 78 = 0.
-13, 3, 8
Factor 15635*i**2 + 78165*i - 50.
5*(i + 5)*(3127*i - 2)
Factor 3*f**3 + 18*f**2 - 96.
3*(f - 2)*(f + 4)**2
Find i, given that -2*i**2 + 372*i - 17298 = 0.
93
Determine p so that 2*p**2/11 - 224*p/11 + 6272/11 = 0.
56
Solve -4*q**4/7 - 542*q**3/21 - 198*q**2/7 + 324*q/7 + 176/21 = 0.
-44, -2, -1/6, 1
Solve o**5/6 + 5*o**4/6 - 7*o**3/2 + 23*o**2/6 - 4*o/3 = 0.
-8, 0, 1
Factor 6*p**4/11 - 156*p**3/11 - 2448*p**2/11 + 100572*p/11 - 736950/11.
6*(p - 17)**3*(p + 25)/11
Factor -5*i**2 - 590*i + 595.
-5*(i - 1)*(i + 119)
What is u in u**3 + u**2 - 24*u + 36 = 0?
-6, 2, 3
Solve -2*w**5/3 + 34*w**4/3 - 62*w**3/3 + 10*w**2 = 0.
0, 1, 15
Suppose 4*k**3/3 - 104*k**2/3 = 0. What is k?
0, 26
Solve -3*n**5 - 240*n**4 - 234*n**3 + 240*n**2 + 237*n = 0 for n.
-79, -1, 0, 1
Solve -5*o**4/3 - 115*o**3/3 - 520*o**2/3 + 640*o/3 = 0 for o.
-16, -8, 0, 1
Let -22*o**5 - 40*o**4 + 74*o**3 + 76*o**2 - 104*o + 16 = 0. What is o?
-2, 2/11, 1
Find z, given that 4*z**2/3 + 344*z/3 - 116 = 0.
-87, 1
Determine o, given that -35*o**4 + 145*o**3 - 160*o**2 + 20*o = 0.
0, 1/7, 2
Factor 2*c**4/5 + 56*c**3/5 - 62*c**2/5 - 116*c/5.
2*c*(c - 2)*(c + 1)*(c + 29)/5
Determine o so that -2*o**5/23 - 4*o**4/23 + 76*o**3/23 + 16*o**2/23 - 202*o/23 - 140/23 = 0.
-7, -1, 2, 5
Let -p**3 + 4*p**2 - 3*p = 0. Calculate p.
0, 1, 3
What is v in -5*v**2 + 30*v = 0?
0, 6
Let a**5/6 - a**4/2 + a**3/6 + a**2/2 - a/3 = 0. What is a?
-1, 0, 1, 2
Factor -2*i**4/11 - 6*i**3/11 + 30*i**2/11 - 34*i/11 + 12/11.
-2*(i - 1)**3*(i + 6)/11
Suppose -v**4 - 84*v**3 - 1678*v**2 + 3612*v - 1849 = 0. What is v?
-43, 1
Factor -3*a**2/7 - 9*a - 204/7.
-3*(a + 4)*(a + 17)/7
Find i, given that i**5 - 3*i**4 - 22*i**3 - 38*i**2 - 27*i - 7 = 0.
-1, 7
Find g, given that -6*g**5/7 + 48*g**4/7 - 114*g**3/7 + 48*g**2/7 + 120*g/7 - 96/7 = 0.
-1, 1, 2, 4
Let o**3/3 + 3*o**2 - 97*o/3 - 35 = 0. Calculate o.
-15, -1, 7
Factor 2*z**4/7 + 2*z**3/7 - 10*z**2/7 + 6*z/7.
2*z*(z - 1)**2*(z + 3)/7
Find o, given that 120*o**3 + 364*o**2 + 12*o = 0.
-3, -1/30, 0
Find h, given that -93*h**2 + 2052*h - 132 = 0.
2/31, 22
What is k in k**3 - 2*k**2 - 3*k = 0?
-1, 0, 3
Find q such that 2*q**5/7 - 22*q**4/7 - 32*q**3/7 + 88*q**2/7 + 96*q/7 = 0.
-2, -1, 0, 2, 12
Factor -5*f**4 + 100*f**3 + 1360*f**2 + 4080*f + 3600.
-5*(f - 30)*(f + 2)**2*(f + 6)
Factor 2*g**2 - 46*g + 152.
2*(g - 19)*(g - 4)
Find b such that -2*b**4/9 - 28*b**3/9 + 22*b**2/3 + 28*b/9 - 64/9 = 0.
-16, -1, 1, 2
Find h such that -2*h**4/9 - 10*h**3/3 + 22*h**2/3 - 34*h/9 = 0.
-17, 0, 1
Suppose -3*u**4 - 15*u**3 + 18*u**2 = 0. Calculate u.
-6, 0, 1
Factor -20*l**3/3 - 160*l**2/3 - 145*l/3 - 35/3.
-5*(l + 7)*(2*l + 1)**2/3
Factor -3*v**2/7 - v - 2/7.
-(v + 2)*(3*v + 1)/7
What is o in 2*o**3 - 199*o**2 + 294*o = 0?
0, 3/2, 98
Factor 4*c**3 - 192*c**2 + 1872*c + 10816.
4*(c - 26)**2*(c + 4)
Suppose 5*c**5/3 - 32*c**4/3 + 4*c**3 = 0. What is c?
0, 2/5, 6
What is i in 8*i**3/13 - 808*i**2/13 - 2478*i/13 - 144 = 0?
-3/2, 104
What is r in 3*r**4 + 18*r**3 + 21*r**2 - 18*r - 24 = 0?
-4, -2, -1, 1
Factor 2*c**3/5 + 102*c**2/5 - 912*c/5 + 1888/5.
2*(c - 4)**2*(c + 59)/5
Factor -8*d**4/9 + d**3 + 5*d**2/3 - 2*d/9.
-d*(d - 2)*(d + 1)*(8*d - 1)/9
Let 2*f**5 + 46*f**4 + 122*f**3 + 34*f**2 - 124*f - 80 = 0. Calculate f.
-20, -2, -1, 1
Determine n so that -2*n**4/7 + 36*n**2/7 - 64*n/7 + 30/7 = 0.
-5, 1, 3
Factor 2*k**3/5 + 11*k**2 + 113*k/5 - 60.
(k + 4)*(k + 25)*(2*k - 3)/5
Factor 2*s**2/7 - 150*s/7 + 292/7.
2*(s - 73)*(s - 2)/7
Solve -3*w**4/5 + 54*w**3/5 - 51*w**2/5 = 0.
0, 1, 17
Let -2*a**5/17 - 6*a**4/17 + 20*a**3/17 - 4*a**2/17 - 18*a/17 + 10/17 = 0. Calculate a.
-5, -1, 1
Find p such that p**5/3 - 17*p**4/3 + 79*p**3/3 - 47*p**2/3 - 80*p/3 + 64/3 = 0.
-1, 1, 8
Factor 20*c**3 + 268*c**2 + 104*c.
4*c*(c + 13)*(5*c + 2)
Factor r**2/5 - 1258*r/5 + 395641/5.
(r - 629)**2/5
Determine z, given that 5*z**2 - 60*z + 100 = 0.
2, 10
Let -845*p**2 - 3900*p - 4500 = 0. What is p?
-30/13
Factor -t**2 - 720*t - 129600.
-(t + 360)**2
Let -4*x**4 + 28*x**3 + 632*x**2 + 1104*x - 4896 = 0. What is x?
-6, 2, 17
Factor 2*k**4 - 26*k**3/3 + 32*k**2/9 + 128*k/9.
2*k*(k + 1)*(3*k - 8)**2/9
Factor -2*c**4/7 - 2*c**3/7 + 8*c**2/7 + 8*c/7.
-2*c*(c - 2)*(c + 1)*(c + 2)/7
Let 21*j**3 - 552*j**2 + 3705*j - 1014 = 0. Calculate j.
2/7, 13
Factor 2*z**4/9 - 8*z**3/3 + 2*z**2/3 + 416*z/9 + 128/3.
2*(z - 8)**2*(z + 1)*(z + 3)/9
Factor z**2 - 478*z + 1896.
(z - 474)*(z - 4)
Factor -2*w**5/19 + 10900*w**4/19 - 23762000*w**3/19 + 25900580000*w**2/19 - 14115816100000*w/19 + 3077247909800000/19.
-2*(w - 1090)**5/19
Factor y**3 - 6*y**2 + 3*y + 10.
(y - 5)*(y - 2)*(y + 1)
Factor 4*j**4 - 16*j**3 - 44*j**2 + 264*j - 288.
4*(j - 3)**2*(j - 2)*(j + 4)
Factor -x**3/6 + 37*x**2/6 - 355*x/6 + 253/2.
-(x - 23)*(x - 11)*(x - 3)/6
Let 8*c**2/7 + 20*c - 72/7 = 0. Calculate c.
-18, 1/2
What is x in 4*x**4 + 148*x**3 + 1116*x**2 + 972*x = 0?
-27, -9, -1, 0
Factor 4*s**3/3 - 32*s**2 + 100*s + 400/3.
4*(s - 20)*(s - 5)*(s + 1)/3
Let 2*j**3 - 40*j**2 + 96*j + 1152 = 0. Calculate j.
-4, 12
Suppose -q**3 + 12*q**2 + 19*q - 78 = 0. Calculate q.
-3, 2, 13
Let p**5/2 - 3*p**4/2 = 0. What is p?
0, 3
Suppose 5*m**2 + 3050*m + 465125 = 0. What is m?
-305
What is l in -5*l**4 + 75*l**3 - 140*l**2 - 1020*l - 800 = 0?
-2, -1, 8, 10
Factor 3*y**5 - 9*y**3 - 6*y**2.
3*y**2*(y - 2)*(y + 1)**2
What is x in -5*x**3 - 140*x**2 - 1015*x - 880 = 0?
-16, -11, -1
Solve 5*s**4/2 + 341*s**3 + 2267*s**2/2 + 399*s = 0.
-133, -3, -2/5, 0
Let -5*a**3/4 - 1585*a**2/2 + 6355*a/4 - 795 = 0. Calculate a.
-636, 1
Let -35*p**2 - 160*p - 80 = 0. Calculate p.
-4, -4/7
Factor -2*s**2/3 - 20*s/3 + 26.
-2*(s - 3)*(s + 13)/3
Suppose 5*t**2 + 21450*t + 23005125 = 0. Calculate t.
-2145
Find r such that -2*r**5/15 - 2*r**4/5 + 4*r**3/15 + 4*r**2/5 - 2*r/15 - 2/5 = 0.
-3, -1, 1
Factor a**2/6 - 4*a/3 - 65/6.
(a - 13)*(a + 5)/6
Determine z, given that 3*z**3/5 + 12*z**2 + 336*z/5 + 576/5 = 0.
-12, -4
Factor -5*b**2 - 60*b - 180.
-5*(b + 6)**2
Solve -3*o**3/4 - 3543*o**2/4 - 260184*o + 788544 = 0.
-592, 3
Factor -y**3 - 8*y**2 - 20*y - 16.
-(y + 2)**2*(y + 4)
Factor 5*z**2 - 870*z - 1760.
5*(z - 176)*(z + 2)
What is a in a**4/6 + 27*a**3/2 - 215*a**2/3 = 0?
-86, 0, 5
Suppose -5*c**4 + 5*c**3 + 325*c**2 - 1125*c = 0. Calculate c.
-9, 0, 5
Let 5*r**5 - 25*r**4 - 15*r**3 + 65*r**2 + 50*r 