 1, 17
Factor 2*m**3/5 + 58*m**2/5 + 56*m/5.
2*m*(m + 1)*(m + 28)/5
Factor -5*y**2 + 2300*y - 264500.
-5*(y - 230)**2
Factor -o**3/6 - 7*o**2/2 + 4*o + 22/3.
-(o - 2)*(o + 1)*(o + 22)/6
Solve 2*f**2/15 + 132*f/5 + 6534/5 = 0.
-99
Factor 3*s**2 - 27*s - 66.
3*(s - 11)*(s + 2)
Solve -5*j**5 + 10*j**4 + 10*j**3 - 40*j**2 + 35*j - 10 = 0 for j.
-2, 1
Determine p, given that -4*p**3 - 2308*p**2 - 6896*p - 4592 = 0.
-574, -2, -1
Factor 2*t**4/3 + 2*t**3/3 - 8*t**2/3 - 8*t/3.
2*t*(t - 2)*(t + 1)*(t + 2)/3
Factor -3*x**5 - 117*x**4 - 1374*x**3 - 6810*x**2 - 14175*x - 8625.
-3*(x + 1)*(x + 5)**3*(x + 23)
Determine x, given that 8*x**5 - 6*x**4 - 256*x**3 + 192*x**2 + 2048*x - 1536 = 0.
-4, 3/4, 4
Factor 2*s**5/5 + 4*s**4 + 34*s**3/5 + 16*s**2/5.
2*s**2*(s + 1)**2*(s + 8)/5
Determine n, given that n**3/2 + 11*n**2/2 + 31*n/2 + 21/2 = 0.
-7, -3, -1
Determine h, given that 3*h**4 - 27*h**2 + 12*h + 36 = 0.
-3, -1, 2
Factor -3*u**3/5 - 228*u**2/5 - 876*u/5 - 864/5.
-3*(u + 2)**2*(u + 72)/5
Factor 2*f**5 + 24*f**4 - 84*f**3 + 88*f**2 - 30*f.
2*f*(f - 1)**3*(f + 15)
Suppose 8*k**3 + 36*k**2 - 20*k = 0. What is k?
-5, 0, 1/2
Suppose -3*o**2 - 27*o = 0. Calculate o.
-9, 0
Factor -2*c**2 + 3856*c - 1858592.
-2*(c - 964)**2
Determine p so that -2*p**5 - 20*p**4 - 74*p**3 - 128*p**2 - 104*p - 32 = 0.
-4, -2, -1
Factor z**3 + 2199*z**2 + 1611867*z + 393832837.
(z + 733)**3
Factor 2*m**5/19 - 122*m**4/19 + 2036*m**3/19 - 284*m**2 + 5162*m/19 - 1682/19.
2*(m - 29)**2*(m - 1)**3/19
Suppose -q**2/6 - 273*q + 1639/6 = 0. What is q?
-1639, 1
Determine d so that d**5 - 49*d**4/4 + 22*d**3 + 29*d**2/4 - 23*d + 5 = 0.
-1, 1/4, 1, 2, 10
Suppose 4*n**4/3 + 146*n**3/3 + 500*n**2 + 3026*n/3 + 1156/3 = 0. What is n?
-17, -2, -1/2
Find w, given that 2*w**4/7 - 8*w**3/7 + 6*w**2/7 + 8*w/7 - 8/7 = 0.
-1, 1, 2
Solve -4*d**2/3 + 13*d/6 + 1 = 0.
-3/8, 2
Determine a so that a**4/7 + 5*a**3 - 73*a**2/7 + 37*a/7 = 0.
-37, 0, 1
Factor 2*o**3/3 - 2*o**2 + 4*o/3.
2*o*(o - 2)*(o - 1)/3
Factor 3*m**2 - 72*m + 69.
3*(m - 23)*(m - 1)
Factor -6*n**2 - 45*n/2 + 69.
-3*(n - 2)*(4*n + 23)/2
Factor -3*w**3 - 21*w**2 + 30*w + 48.
-3*(w - 2)*(w + 1)*(w + 8)
Factor 363*l**3 - 165*l**2 - 171*l - 27.
3*(l - 1)*(11*l + 3)**2
What is g in -6*g**2/11 + 90*g/11 + 96/11 = 0?
-1, 16
Determine m so that 2*m**5 - 106*m**4 + 1454*m**3 - 1246*m**2 - 1456*m + 1352 = 0.
-1, 1, 26
Factor 3*i**4 + 57*i**3 + 90*i**2 - 228*i - 408.
3*(i - 2)*(i + 2)**2*(i + 17)
Factor 2*x**3/9 + 4*x**2/9 - 2*x/3.
2*x*(x - 1)*(x + 3)/9
Solve -v**2/2 + 230*v - 26450 = 0 for v.
230
Suppose 2*k**4/3 - 2*k**3/3 - 4*k**2 = 0. Calculate k.
-2, 0, 3
Factor -p**4 + 26*p**3 + 27*p**2.
-p**2*(p - 27)*(p + 1)
Find w, given that -5*w**5/2 + 25*w**4/2 - 5*w**3/2 - 105*w**2/2 + 45*w = 0.
-2, 0, 1, 3
Factor -g**5/8 + g**4/8 + g**3 - 3*g**2/2.
-g**2*(g - 2)**2*(g + 3)/8
Suppose 5*p**3/3 - 355*p**2/3 + 695*p/3 - 115 = 0. Calculate p.
1, 69
Find z such that 4*z**5/5 + 32*z**4/5 + 24*z**3/5 - 32*z**2/5 - 28*z/5 = 0.
-7, -1, 0, 1
Factor -x**2/6 + 10*x/3 + 7/2.
-(x - 21)*(x + 1)/6
Factor -v**4/4 + 469*v**3/4 - 18369*v**2 + 967356*v - 949104.
-(v - 156)**3*(v - 1)/4
Find v, given that -2*v**3 + 1006*v**2 - 128982*v + 620010 = 0.
5, 249
What is l in -l**2/3 + 77*l/3 + 26 = 0?
-1, 78
Find i, given that -54*i**4/11 - 174*i**3/11 - 36*i**2/11 + 216*i/11 + 48/11 = 0.
-2, -2/9, 1
Suppose 4*j**5 - 56*j**4 - 128*j**3 + 936*j**2 + 1404*j - 2160 = 0. What is j?
-3, 1, 4, 15
Solve 80*o**4 + 2748*o**3 + 8108*o**2 - 6168*o + 992 = 0.
-31, -4, 1/4, 2/5
Factor 3*r**2/2 - 8*r + 5/2.
(r - 5)*(3*r - 1)/2
Solve -3*p**3/2 + 51*p**2/2 - 21*p - 48 = 0.
-1, 2, 16
Factor m**4/2 - 729*m**3/2 + 67332*m**2 - 327610*m.
m*(m - 362)**2*(m - 5)/2
Factor -8*c**4/7 - 34*c**3/7 - 40*c**2/7 - 8*c/7.
-2*c*(c + 2)**2*(4*c + 1)/7
Find d, given that 2*d**5/3 - 16*d**4/3 + 10*d**3/3 + 100*d**2/3 = 0.
-2, 0, 5
What is o in -2*o**4 - 20*o**3 + 240*o**2 + 20*o - 238 = 0?
-17, -1, 1, 7
Factor 2*p**4/5 + 2*p**3 - 34*p**2/5 - 42*p/5.
2*p*(p - 3)*(p + 1)*(p + 7)/5
Factor 4*w**3/7 - 72*w**2/7 - 768*w/7 + 2048.
4*(w - 16)**2*(w + 14)/7
Factor -2*g**4/17 + 402*g**3/17 - 1200*g**2 + 20000*g/17.
-2*g*(g - 100)**2*(g - 1)/17
Factor j**3/7 + 632*j**2/7 + 1261*j/7 + 90.
(j + 1)**2*(j + 630)/7
Find b such that -5*b**4 - 10*b**3 + 65*b**2 - 50*b = 0.
-5, 0, 1, 2
Factor i**3/2 + 89*i**2/2 + 175*i/2 + 87/2.
(i + 1)**2*(i + 87)/2
Determine a, given that a**5/5 - 2*a**4/5 - 3*a**3/5 + 8*a**2/5 - 4*a/5 = 0.
-2, 0, 1, 2
Determine a so that -3*a**2 + 20322*a - 34415307 = 0.
3387
Factor -2*p**2/5 + 4*p/5 + 16/5.
-2*(p - 4)*(p + 2)/5
Factor 3*i**3 - 183*i**2 + 2109*i + 2295.
3*(i - 45)*(i - 17)*(i + 1)
Factor -5*y**2 + 45.
-5*(y - 3)*(y + 3)
Let -3*p**2/4 - 33*p/2 + 240 = 0. Calculate p.
-32, 10
What is x in x**2/3 + 248*x/3 + 2380/3 = 0?
-238, -10
Determine a so that -3*a**2 - 2754*a - 632043 = 0.
-459
Determine k, given that -2*k**5/7 + 10*k**4/7 + 4*k**3/7 - 8*k**2 + 16*k/7 + 64/7 = 0.
-2, -1, 2, 4
Factor 4*l**3 + 3540*l**2 + 784992*l + 781456.
4*(l + 1)*(l + 442)**2
Factor 2*j**2 - 426*j.
2*j*(j - 213)
Find d such that -4*d**3 + 248*d**2 + 260*d - 504 = 0.
-2, 1, 63
Factor x**3/7 - 155*x**2/7 + 1475*x/7 - 3625/7.
(x - 145)*(x - 5)**2/7
Let f**4/3 + 80*f**3/3 - 688*f**2/3 + 1408*f/3 = 0. What is f?
-88, 0, 4
Factor r**2 - 2*r - 8.
(r - 4)*(r + 2)
Suppose 5*q**5 + 255*q**4 + 3795*q**3 + 13225*q**2 = 0. Calculate q.
-23, -5, 0
What is k in 36*k**4/5 + 28*k**3/5 - 8*k**2/5 = 0?
-1, 0, 2/9
Factor r**3 + 28*r**2 + 221*r + 338.
(r + 2)*(r + 13)**2
Factor -k**4/3 + k**3/3 + 4*k**2.
-k**2*(k - 4)*(k + 3)/3
Factor -5*n**2 + 1890*n.
-5*n*(n - 378)
Factor 5*h**5 - 13*h**4 - 51*h**3 - 43*h**2 - 10*h.
h*(h - 5)*(h + 1)**2*(5*h + 2)
Solve -3*v**2 - 249*v + 510 = 0.
-85, 2
Factor c**4/9 - 11*c**3/9 + 26*c**2/9 - 16*c/9.
c*(c - 8)*(c - 2)*(c - 1)/9
Factor 2*s**3 - 66*s**2 - 8*s + 264.
2*(s - 33)*(s - 2)*(s + 2)
Solve 2*l**2/9 - 58*l/9 - 20/3 = 0.
-1, 30
Suppose -4*q**3/9 + q**2/3 + q/9 = 0. What is q?
-1/4, 0, 1
Factor x**4 + 15*x**3 - 976*x**2 + 960*x.
x*(x - 24)*(x - 1)*(x + 40)
Solve 2*k**3 - 42*k**2/5 - 2*k + 42/5 = 0 for k.
-1, 1, 21/5
Solve 2*g**4 - 38*g**3 - 98*g**2 + 302*g - 168 = 0 for g.
-4, 1, 21
Factor 2*w**4/5 + 86*w**3/5 + 318*w**2/5 + 234*w/5.
2*w*(w + 1)*(w + 3)*(w + 39)/5
Factor 67*u**2/4 + 205*u/4 + 3.
(u + 3)*(67*u + 4)/4
Factor -4*y**4/5 - 124*y**3 - 23712*y**2/5 + 24336*y/5.
-4*y*(y - 1)*(y + 78)**2/5
Let 2*k**5 + 38*k**4 + 140*k**3 - 220*k**2 - 142*k + 182 = 0. What is k?
-13, -7, -1, 1
Factor 5*a**5/4 + 5*a**4/2 + 5*a**3/4.
5*a**3*(a + 1)**2/4
What is l in 2*l**3/17 - 60*l**2/17 + 58*l/17 = 0?
0, 1, 29
Factor -5*z**5 + 500*z**4 - 17300*z**3 + 227200*z**2 - 716800*z + 655360.
-5*(z - 32)**3*(z - 2)**2
Determine k so that -k**3/2 + 7*k**2/2 + 5*k - 8 = 0.
-2, 1, 8
Solve -5*u**3 + 59*u**2 - 123*u - 27 = 0.
-1/5, 3, 9
Let 2*g**3 + 52*g**2 + 258*g + 360 = 0. Calculate g.
-20, -3
Factor f**4 + 12*f**3 + 37*f**2 + 42*f + 16.
(f + 1)**2*(f + 2)*(f + 8)
Find o such that -2*o**3 - 22*o**2 - 20*o = 0.
-10, -1, 0
Determine u so that 450*u**5/11 + 5730*u**4/11 + 23198*u**3/11 + 27254*u**2/11 - 8560*u/11 + 600/11 = 0.
-5, -3, 2/15
Factor 2*o**4 - 22*o**2 - 36*o - 16.
2*(o - 4)*(o + 1)**2*(o + 2)
Determine p, given that -2*p**2 - 876*p - 95922 = 0.
-219
Find v, given that 2*v**4/11 - 62*v**3/11 + 60*v**2/11 = 0.
0, 1, 30
Solve -4*m**4 - 24*m**3 - 32*m**2 + 24*m + 36 = 0.
-3, -1, 1
Solve 2*w**3/11 + 18*w**2/11 + 16*w/11 = 0 for w.
-8, -1, 0
Factor 8*c**2 - 804*c + 400.
4*(c - 100)*(2*c - 1)
Suppose 140*r**5/3 - 5546*r**4/3 + 3346*r**3/3 + 320*r**2/3 - 104*r = 0. Calculate r.
-2/7, 0, 2/5, 1/2, 39
Let 4*k**3 + 160*k**2 - 2352*k + 7488 = 0. Calculate k.
-52, 6
Factor -9*o**5/7 + 30*o**4/7 - 9*o**3/7.
-3*o**3*(o - 3)*(3*o - 1)/7
Factor 4*u**3 + 40*u**2 + 92*u + 56.
4*(u + 1)*(u + 2)*(u + 7)
Factor 2*i**3/13 + 16*i**2/13 - 8*i/13 - 64/13.
2*(i - 2)*(i + 2)*(i + 8)/13
Factor 3*t**3/5 + 282*t**2/5 + 273*t/5 - 558/5.
3*(t - 1)*(t + 2)*(t + 93)/5
Let -u**3/4 - 1410*u**2 - 2650800*u - 1661168000 = 0. Calculate u.
-1880
Factor -t**5/2 - 9*t**4 - 129*t**3/2 - 230*t**2 - 408*t - 288.
-(t + 3)**2*(t + 4)**3/2
Factor -2*b**3/25 + 36*b**2/25 - 162*b/25.
-2*b*(b - 9)**2/25
Determine a, given that -81*a**5 - 4392*a**4/5 + 781*a**3/5 + 196*a