 0 for q.
1, 2, 220
Factor 2*f**4 - 36*f**3 + 160*f**2 + 36*f - 162.
2*(f - 9)**2*(f - 1)*(f + 1)
Factor -2*j**3 - 4*j**2 + 42*j - 36.
-2*(j - 3)*(j - 1)*(j + 6)
Find f such that -f**4/5 + 52*f**3/5 - 49*f**2/5 - 102*f/5 = 0.
-1, 0, 2, 51
Determine p, given that -2*p**2 - 702*p + 704 = 0.
-352, 1
Let 4*c**3 - 20*c**2 - 128*c - 144 = 0. What is c?
-2, 9
Let -3*k**4/2 + 51*k**3/2 + 1953*k**2/2 + 15729*k/2 + 19551 = 0. Calculate k.
-7, 38
Suppose -2*k**4/11 - 2*k**3/11 + 24*k**2/11 + 56*k/11 + 32/11 = 0. Calculate k.
-2, -1, 4
Factor 3*c**3 - 66*c**2 + 63*c.
3*c*(c - 21)*(c - 1)
Solve -2*t**4/21 - 38*t**3/21 - 66*t**2/7 - 54*t/7 = 0 for t.
-9, -1, 0
Suppose -4*n**5 + 16*n**4 + 44*n**3 + 24*n**2 = 0. Calculate n.
-1, 0, 6
Factor -2*n**3/13 - 14530*n**2/13 - 26397376*n/13 - 26382848/13.
-2*(n + 1)*(n + 3632)**2/13
Factor -b**2 - 114*b - 3249.
-(b + 57)**2
Find u such that 2*u**5/9 + 20*u**4/9 + 2*u**3 = 0.
-9, -1, 0
Factor 4*f**4 - 4*f**3 - 8*f**2.
4*f**2*(f - 2)*(f + 1)
Factor -2*j**2 + 332*j - 13778.
-2*(j - 83)**2
Factor m**4/5 + 98*m**3/5 + 2497*m**2/5 + 4704*m/5 + 2304/5.
(m + 1)**2*(m + 48)**2/5
Let 2*t**2/5 - 6*t/5 - 8/5 = 0. Calculate t.
-1, 4
Factor -2*g**5 + 276*g**4 - 8954*g**3 - 39192*g**2 - 40328*g.
-2*g*(g - 71)**2*(g + 2)**2
Factor v**3 + 19*v**2 - 41*v + 21.
(v - 1)**2*(v + 21)
Solve -3*a**5 - 69*a**4/7 + 171*a**3/7 + 537*a**2/7 + 390*a/7 + 72/7 = 0.
-4, -1, -2/7, 3
Factor -5*o**3 - 6450*o**2 + 12915*o - 6460.
-5*(o - 1)**2*(o + 1292)
Find s, given that -2*s**3/9 - 16*s**2/9 = 0.
-8, 0
Factor 48*l**3 + 260*l**2 + 88*l - 60.
4*(l + 5)*(3*l - 1)*(4*l + 3)
Suppose 2*i**2/3 + 92*i/3 + 86 = 0. What is i?
-43, -3
Solve 9*n**3 + 75*n**2 + 97*n/4 + 2 = 0.
-8, -1/6
Find b, given that 72*b**3 + 255*b**2 - 129*b + 12 = 0.
-4, 1/8, 1/3
Solve 4*o**4 - 204*o**3 + 3160*o**2 - 12432*o - 39200 = 0 for o.
-2, 14, 25
Suppose 3*k**2/7 - 36*k/7 + 108/7 = 0. Calculate k.
6
Factor -q**4/9 - 2*q**3/9 + q**2/9 + 2*q/9.
-q*(q - 1)*(q + 1)*(q + 2)/9
Solve 3*m**3 + 303*m**2 + 1164*m = 0.
-97, -4, 0
Factor j**5/3 + 3*j**4 + 26*j**3/3 + 8*j**2.
j**2*(j + 2)*(j + 3)*(j + 4)/3
Find r, given that -3*r**2/4 - 57*r/2 - 102 = 0.
-34, -4
Factor -2*b**2/5 + 32*b - 640.
-2*(b - 40)**2/5
Find c, given that 525*c**2/2 + 429*c/4 - 9/4 = 0.
-3/7, 1/50
Determine n, given that -3*n**4/5 - 18*n**3/5 + 228*n**2/5 - 558*n/5 + 351/5 = 0.
-13, 1, 3
Let -k**5/8 - 141*k**4/8 = 0. Calculate k.
-141, 0
Factor -2*b**2 + 50*b.
-2*b*(b - 25)
Determine d, given that -4*d**3 + 16*d**2 + 60*d - 72 = 0.
-3, 1, 6
Factor -n**4/6 + 17*n**3/3 - 16*n**2 + 47*n/3 - 31/6.
-(n - 31)*(n - 1)**3/6
Factor -2*g**3/3 + 34*g**2/3 + 40*g/3 - 24.
-2*(g - 18)*(g - 1)*(g + 2)/3
Suppose 14*x**3/5 - 39*x**2/5 - 11*x/5 + 6/5 = 0. What is x?
-1/2, 2/7, 3
Factor 5*q**2 - 720*q + 25920.
5*(q - 72)**2
Factor -3*k**3 + 2349*k**2 - 613089*k + 53338743.
-3*(k - 261)**3
Determine x so that 3*x**2 - 69*x = 0.
0, 23
Suppose v**3/2 - 3*v**2 + 4*v = 0. Calculate v.
0, 2, 4
Factor 5*u**2 + 350*u + 345.
5*(u + 1)*(u + 69)
Factor -5*w**3/6 + 10*w**2/3 + 125*w/6 - 70/3.
-5*(w - 7)*(w - 1)*(w + 4)/6
Determine j so that 3*j**2 - 33*j + 30 = 0.
1, 10
Factor -4*v**5 + 36*v**4 - 128*v**3 + 224*v**2 - 192*v + 64.
-4*(v - 2)**4*(v - 1)
Suppose c**3 + 48*c**2 + 693*c + 3146 = 0. Calculate c.
-26, -11
Determine x so that x**4 - 13*x**3 + 57*x**2 - 99*x + 54 = 0.
1, 3, 6
Factor x**3 - 113*x**2 + 436*x.
x*(x - 109)*(x - 4)
Let -85*i**4/6 + 1610*i**3/3 - 2905*i**2/2 + 2440*i/3 + 350/3 = 0. Calculate i.
-2/17, 1, 2, 35
Factor 6*l**2/11 - 390*l/11 + 6300/11.
6*(l - 35)*(l - 30)/11
Factor -5*k**3 - 30*k**2 - 45*k.
-5*k*(k + 3)**2
Find i, given that -243*i**5 + 1809*i**4 - 525*i**3 - 1725*i**2 + 768*i - 84 = 0.
-1, 2/9, 1, 7
Solve 3*b**3/4 + 45*b**2/2 + 81*b/4 - 87/2 = 0 for b.
-29, -2, 1
Determine s, given that 2*s**3/13 + 1062*s**2/13 + 187974*s/13 + 11090466/13 = 0.
-177
Factor -4*y**2 - 20*y + 264.
-4*(y - 6)*(y + 11)
Solve s**3/9 + 358*s**2/3 - 1075*s/9 = 0 for s.
-1075, 0, 1
Solve -5*m**2 + 80*m = 0 for m.
0, 16
Determine t, given that 2*t**2/9 - 4*t/9 - 70/9 = 0.
-5, 7
Determine b, given that -2*b**3 - 172*b**2 - 3864*b - 7056 = 0.
-42, -2
Suppose -3*f**5 - 12*f**4 + 6*f**3 + 24*f**2 - 3*f - 12 = 0. What is f?
-4, -1, 1
Find j, given that 2*j**3/11 - 42*j**2/11 + 40*j/11 = 0.
0, 1, 20
Let -4*f**2 + 10516*f - 10512 = 0. What is f?
1, 2628
Factor i**2 + 110*i + 216.
(i + 2)*(i + 108)
Find a such that -2*a**4/9 - 92*a**3/9 - 382*a**2/3 - 2024*a/9 - 968/9 = 0.
-22, -1
Factor 2*b**2/9 - 10*b/9 - 16/3.
2*(b - 8)*(b + 3)/9
Find w, given that -2*w**3/9 - 16*w**2/9 - 26*w/9 - 4/3 = 0.
-6, -1
Find f such that -2*f**4 - 16*f**3 - 26*f**2 - 12*f = 0.
-6, -1, 0
Suppose 2*b**4/9 - 44*b**3/9 + 82*b**2/9 - 40*b/9 = 0. What is b?
0, 1, 20
Let -4*x**5/5 - 44*x**4/5 - 104*x**3/5 + 104*x**2/5 + 60*x - 252/5 = 0. Calculate x.
-7, -3, 1
Factor -3*n**2/8 - 375*n/8 + 189/4.
-3*(n - 1)*(n + 126)/8
Solve 2*d**5/3 + 2*d**4/3 = 0.
-1, 0
Find t, given that -5*t**5 - 55*t**4 - 130*t**3 + 130*t**2 + 375*t - 315 = 0.
-7, -3, 1
Factor 2*o**4/5 - 4*o**3/5 - 24*o**2/5 + 16*o - 64/5.
2*(o - 2)**3*(o + 4)/5
Determine l, given that l**2/10 - 19*l/10 = 0.
0, 19
Solve 6*j**3/7 - 38*j**2/7 + 8*j/7 + 24/7 = 0 for j.
-2/3, 1, 6
Factor 2*m**3/9 - 242*m**2 + 87846*m - 10629366.
2*(m - 363)**3/9
Suppose 2*t**5/7 - 66*t**4/7 + 18*t**3 - 62*t**2/7 = 0. Calculate t.
0, 1, 31
Let c**4 - 79*c**3 + 437*c**2 + 79*c - 438 = 0. Calculate c.
-1, 1, 6, 73
Solve -3*v**4/2 + 3*v**3/2 + 51*v**2 - 96*v - 144 = 0 for v.
-6, -1, 4
Factor -28*v**2 + 534*v - 38.
-2*(v - 19)*(14*v - 1)
Let -2*m**3/17 - 22*m**2/17 - 38*m/17 - 18/17 = 0. Calculate m.
-9, -1
Factor u**3 - 93*u**2 - 2409*u - 13915.
(u - 115)*(u + 11)**2
Find j such that 5*j**3/4 - 10*j**2 + 35*j/4 = 0.
0, 1, 7
Determine d, given that -d**4 - 6*d**3 + 9*d**2 + 14*d = 0.
-7, -1, 0, 2
Find g, given that g**5 - 1088*g**4 + 299185*g**3 - 1769078*g**2 + 3520828*g - 2341448 = 0.
2, 541
Factor 3*o**5 - 6*o**4 - 57*o**3 - 84*o**2 - 36*o.
3*o*(o - 6)*(o + 1)**2*(o + 2)
Let -3*s**3/4 + 255*s**2/4 - 63*s = 0. Calculate s.
0, 1, 84
Solve 10*l**3 + 45*l**2 - 30*l - 25 = 0.
-5, -1/2, 1
Let -2*p**3/5 + 152*p**2/5 - 858*p/5 + 252 = 0. Calculate p.
3, 70
Find t such that 2*t**2 + 34*t + 32 = 0.
-16, -1
Factor p**5/5 + 21*p**4/5 + 57*p**3/5 + 11*p**2 + 18*p/5.
p*(p + 1)**3*(p + 18)/5
Determine a so that a**2/2 - 26*a + 338 = 0.
26
Solve u**3/5 - 69*u**2/5 - 14*u = 0.
-1, 0, 70
Factor -15*w**2/7 + 228*w/7 - 45/7.
-3*(w - 15)*(5*w - 1)/7
Factor 2*y**2/9 - 4*y - 230/9.
2*(y - 23)*(y + 5)/9
Suppose -66*c**5 + c**4 + 442*c**3 - 421*c**2 + 128*c - 12 = 0. What is c?
-3, 2/11, 1/3, 1/2, 2
Factor 3*b**3/7 - 6*b**2/7 - 24*b/7.
3*b*(b - 4)*(b + 2)/7
Find o such that -5*o**3 + 415*o**2 - 1580*o = 0.
0, 4, 79
Determine o, given that -5*o**3 + 115*o**2 + 130*o - 240 = 0.
-2, 1, 24
Factor 3*n**5 + 3*n**4 - 24*n**3 - 36*n**2.
3*n**2*(n - 3)*(n + 2)**2
Factor -g**2 + 1198*g - 358801.
-(g - 599)**2
Factor j**2 - 81*j + 450.
(j - 75)*(j - 6)
Find c such that -2*c**2 - 62*c + 280 = 0.
-35, 4
Factor f**4 + 7*f**3 + 18*f**2 + 20*f + 8.
(f + 1)*(f + 2)**3
Suppose 2*p**4/9 - 32*p**3 - 194*p**2/3 - 292*p/9 = 0. Calculate p.
-1, 0, 146
Factor w**3/5 + 2*w**2/5 - w - 6/5.
(w - 2)*(w + 1)*(w + 3)/5
Solve 2*f**4 + 142*f**3 = 0 for f.
-71, 0
Factor 2*v**3/3 + 22*v**2/3 - 50*v/3 + 26/3.
2*(v - 1)**2*(v + 13)/3
What is a in 2*a**3/9 - 1874*a**2/3 + 1755938*a/3 - 1645313906/9 = 0?
937
Solve 4*q**3 + 104*q**2 + 68*q - 9248 = 0.
-17, 8
Determine r so that 5*r**2 + 825*r = 0.
-165, 0
Suppose -40*k**5/11 - 2314*k**4 - 4028362*k**3/11 + 6697090*k**2/11 - 277298*k + 37004 = 0. What is k?
-319, 1/4, 2/5, 1
Factor 4*v**2/3 + 80*v/3 + 76/3.
4*(v + 1)*(v + 19)/3
Determine f, given that -4*f**4 + 16*f**3 - 20*f**2 + 8*f = 0.
0, 1, 2
Factor 8*r**3 + 1828*r**2 - 920*r - 916.
4*(r - 1)*(r + 229)*(2*r + 1)
Factor -6*t**3/5 + 28*t**2/5 - 34*t/5 + 12/5.
-2*(t - 3)*(t - 1)*(3*t - 2)/5
What is j in -3*j**4/2 + 63*j**3/2 + 315*j**2/2 - 375*j/2 = 0?
-5, 0, 1, 25
Factor -w**3/5 + 6*w**2/5 - 9*w/5 + 4/5.
-(w - 4)*(w - 1)**2/5
Factor 4*n**4 - 31*n**3 + 20*n**2 + 7*n.
n*(n - 7)*(n - 1)*(4*n + 1)
Suppose -2*i**3/5 + 544*i**2/5 + 110*i - 1092/5 = 0. Calculate i.
-2, 1, 273
Factor d**3 + 9*d**2 - 22*d.
d*(d - 2)