-3, -1, 0, 2
Factor 4*x**3 - 4*x**2 - 20*x - 12.
4*(x - 3)*(x + 1)**2
Factor q**2/5 + 26*q/5 - 27/5.
(q - 1)*(q + 27)/5
Determine l so that 14*l**3 + 494*l**2 + 140*l = 0.
-35, -2/7, 0
Factor 45*t**4 - 1010*t**3 - 1720*t**2 + 960*t.
5*t*(t - 24)*(t + 2)*(9*t - 4)
Solve -5*j**3 - 45*j**2 + 450*j = 0.
-15, 0, 6
Factor 8*q**2/3 + 82*q/3 + 74/3.
2*(q + 1)*(4*q + 37)/3
Solve -4*h**5/7 + 2*h**4/7 + 22*h**3/7 + 22*h**2/7 + 6*h/7 = 0.
-1, -1/2, 0, 3
Find s such that -4*s**3 + 3928*s**2 - 964324*s = 0.
0, 491
Find a such that -2*a**4/7 + 298*a**3/7 - 1740*a**2/7 + 3448*a/7 - 2288/7 = 0.
2, 143
Factor 2*q**3/11 + 11172*q**2/11 + 20802264*q/11 + 12911271856/11.
2*(q + 1862)**3/11
Factor h**3/2 - 5*h**2 + 31*h/2 - 15.
(h - 5)*(h - 3)*(h - 2)/2
Suppose t**4/7 - t**3 + 2*t**2 - 8*t/7 = 0. What is t?
0, 1, 2, 4
Factor 4*k**4 - 16*k**3 + 64*k - 64.
4*(k - 2)**3*(k + 2)
Factor -2*s**2/7 + 102*s/7 - 820/7.
-2*(s - 41)*(s - 10)/7
Let -15432750*x**4 - 4891550*x**3 - 371070*x**2 - 10746*x - 108 = 0. Calculate x.
-2/9, -3/95
Factor 4*a**3/7 - 828*a**2/7 - 8644*a/7 - 1116.
4*(a - 217)*(a + 1)*(a + 9)/7
Solve c**5 + 11*c**4 + 36*c**3 + 16*c**2 - 64*c = 0 for c.
-4, 0, 1
Determine u, given that u**4/2 + 5*u**3/2 + 5*u**2/2 - 5*u/2 - 3 = 0.
-3, -2, -1, 1
Factor 13*k**4/4 + 81*k**3/4 - 81*k**2.
k**2*(k + 9)*(13*k - 36)/4
Factor 3*k**2 - 60*k + 153.
3*(k - 17)*(k - 3)
Factor d**2 - 7*d + 10.
(d - 5)*(d - 2)
Factor 35*h**3 + 3840*h**2 - 12965*h + 3390.
5*(h - 3)*(h + 113)*(7*h - 2)
Find y, given that 500*y**5/7 + 1740*y**4/7 + 936*y**3/7 - 1136*y**2/7 - 96*y/7 = 0.
-2, -2/25, 0, 3/5
Factor -3*i**3 - 81*i**2 - 78*i.
-3*i*(i + 1)*(i + 26)
Factor -2*r**3/11 + 142*r**2/11 - 544*r/11 + 536/11.
-2*(r - 67)*(r - 2)**2/11
Factor 4*k**2 + 772*k - 776.
4*(k - 1)*(k + 194)
Factor -r**2 - 634*r - 1264.
-(r + 2)*(r + 632)
Let -q**3 - 12*q**2 + 144*q - 320 = 0. What is q?
-20, 4
Solve c**2/4 - 7*c/2 + 45/4 = 0 for c.
5, 9
Let -2*a**5 + 12*a**4 + 216*a**3 - 2116*a**2 + 5418*a - 3528 = 0. Calculate a.
-12, 1, 3, 7
Determine t so that -5*t**3/6 - 115*t**2/2 - 55*t + 340/3 = 0.
-68, -2, 1
Suppose 2*q**2 - 2*q/7 = 0. Calculate q.
0, 1/7
Factor i**4/3 - 7*i**3/3 + 5*i**2 - 13*i/3 + 4/3.
(i - 4)*(i - 1)**3/3
Factor 2*a**2 - 46*a - 48.
2*(a - 24)*(a + 1)
Factor -4*m**3 - 24*m**2 - 20*m + 48.
-4*(m - 1)*(m + 3)*(m + 4)
Suppose 30*t**2 - 205*t + 150 = 0. Calculate t.
5/6, 6
Determine b, given that -3*b**5/5 - 63*b**4/5 - 213*b**3/5 + 1359*b**2/5 + 216*b/5 - 1296/5 = 0.
-12, -1, 1, 3
What is l in -3*l**5 + 12*l**4 + 51*l**3 - 204*l**2 - 48*l + 192 = 0?
-4, -1, 1, 4
Find z, given that -5*z**4 + 160*z**3 - 1275*z**2 - 160*z + 1280 = 0.
-1, 1, 16
Suppose 2*u**3/7 - 292*u**2/7 - 298*u/7 + 84 = 0. Calculate u.
-2, 1, 147
Solve -4*f**3/5 - 4*f**2/5 + 4*f/5 + 4/5 = 0 for f.
-1, 1
Let -6*k**5 - 166*k**4 - 1276*k**3 - 1740*k**2 - 286*k + 338 = 0. Calculate k.
-13, -1, 1/3
Factor -54*c**4 + 9882*c**3 - 19620*c**2 + 13048*c - 2896.
-2*(c - 181)*(3*c - 2)**3
Let 3*v**2 - 798*v + 53067 = 0. What is v?
133
Determine j so that -2*j**3 - 750*j**2 - 93750*j - 3906250 = 0.
-125
Factor -75*s**3/7 + 465*s**2/7 - 912*s/7 + 576/7.
-3*(s - 3)*(5*s - 8)**2/7
Factor -3*q**2/7 + 321*q/7 + 324/7.
-3*(q - 108)*(q + 1)/7
Factor -3*f**3 + 48*f**2 - 39*f - 90.
-3*(f - 15)*(f - 2)*(f + 1)
Factor 5*h**2 - 180*h - 2880.
5*(h - 48)*(h + 12)
Factor r**2/2 + r/2 - 45.
(r - 9)*(r + 10)/2
Factor b**4/5 + b**3/5 - 2*b**2 - 4*b/5 + 24/5.
(b - 2)**2*(b + 2)*(b + 3)/5
Factor -13*l**4 + 5*l**3 + 216*l**2 + 388*l + 160.
-(l - 5)*(l + 2)**2*(13*l + 8)
Let -2*u**3/3 - 176*u**2/3 - 4346*u/3 - 6724 = 0. What is u?
-41, -6
Factor -5*k**3 + 1410*k**2 - 99405*k.
-5*k*(k - 141)**2
Find o such that 2*o**4/3 = 0.
0
Factor -q**4 - 23*q**3 - 96*q**2 - 108*q.
-q*(q + 2)*(q + 3)*(q + 18)
Factor 28125*l**4 - 57750*l**3 + 3020*l**2 - 40*l.
5*l*(l - 2)*(75*l - 2)**2
Solve 4*q**4 - 292*q**3 - 900*q**2 - 908*q - 304 = 0 for q.
-1, 76
Factor 4*a**3/9 + 182*a**2/9 - 476*a/9 + 64/3.
2*(a - 2)*(a + 48)*(2*a - 1)/9
Find w, given that -2*w**3/11 + 76*w**2/11 - 280*w/11 + 272/11 = 0.
2, 34
Determine y so that 60*y**4 - 3995*y**3 + 67655*y**2 - 38445*y + 5445 = 0.
1/4, 1/3, 33
What is o in o**2/2 + 181*o + 361/2 = 0?
-361, -1
Factor -k**2 + 5*k + 1716.
-(k - 44)*(k + 39)
Find s, given that 2*s**4 + 4*s**3 - 2*s**2 - 4*s = 0.
-2, -1, 0, 1
Factor 3*a**2 - 54*a + 96.
3*(a - 16)*(a - 2)
Factor 2*k**2/3 - 866*k/3 + 1724/3.
2*(k - 431)*(k - 2)/3
Solve 3*z**2 + 78*z + 207 = 0.
-23, -3
Find g such that 144*g**5 - 696*g**4 + 849*g**3 - 54*g**2 - 405*g + 162 = 0.
-2/3, 3/4, 1, 3
Factor -y**2/3 + 68*y/3.
-y*(y - 68)/3
Factor -4*t**2 - 10684*t - 21352.
-4*(t + 2)*(t + 2669)
Factor -n**2 - n.
-n*(n + 1)
Factor 7*s**5/3 + 78*s**4 + 880*s**3 + 10406*s**2/3 + 1331*s.
s*(s + 11)**3*(7*s + 3)/3
Factor -i**4/3 - 11*i**3/3 - 22*i**2/3 + 20*i + 24.
-(i - 2)*(i + 1)*(i + 6)**2/3
Let -v**3/5 - 296*v**2/5 - 1017*v - 22518/5 = 0. What is v?
-278, -9
Factor -401681764*u**2 - 160336*u - 16.
-4*(10021*u + 2)**2
Find g such that g**4 - 14*g**3 + 67*g**2 - 126*g + 72 = 0.
1, 3, 4, 6
Determine b so that 98*b**4/3 + 15932*b**3/3 + 652058*b**2/3 + 122904*b + 17496 = 0.
-81, -2/7
Factor -619369*u**2/6 - 1574*u/3 - 2/3.
-(787*u + 2)**2/6
Determine u so that 2*u**4/3 + 908*u**3/3 = 0.
-454, 0
Factor -3*c**2 - 492*c + 5220.
-3*(c - 10)*(c + 174)
Solve 8*t**5/5 - 566*t**4/5 + 10754*t**3/5 - 26108*t**2/5 + 11288*t/5 + 4624/5 = 0.
-1/4, 1, 2, 34
Solve -5*m**4 + 70*m**3 - 60*m**2 - 70*m + 65 = 0 for m.
-1, 1, 13
Suppose -3*b**2/4 + 63*b/4 - 15 = 0. Calculate b.
1, 20
Factor t**3/9 - 664*t**2/9 + 110224*t/9.
t*(t - 332)**2/9
Factor l**3/5 - 13*l**2 + 952*l/5 + 3468/5.
(l - 34)**2*(l + 3)/5
What is d in 5*d**4 - 250*d**3 - 1485*d**2 + 6130*d - 4400 = 0?
-8, 1, 2, 55
Determine f, given that 2*f**3 - 156*f**2 - 2822*f + 2976 = 0.
-16, 1, 93
Let -5*m**2 + 2120*m - 224720 = 0. Calculate m.
212
Find a such that -3*a**3/2 + 240*a**2 + 483*a/2 = 0.
-1, 0, 161
Determine w, given that -w**5/2 + w**4 + 9*w**3/2 - w**2 - 4*w = 0.
-2, -1, 0, 1, 4
Factor -3*s**2/8 - 114*s - 8664.
-3*(s + 152)**2/8
What is y in -20*y**3 - 55*y**2 - 30*y = 0?
-2, -3/4, 0
Factor -2*l**3/15 + 4*l**2/3 - 14*l/15 - 12/5.
-2*(l - 9)*(l - 2)*(l + 1)/15
Let -2*k**3/11 + 2*k**2/11 + 8*k/11 - 8/11 = 0. Calculate k.
-2, 1, 2
What is u in -5*u**2 + 8980*u = 0?
0, 1796
Solve -4*x**2 - 20*x - 24 = 0.
-3, -2
Factor 2*m**3/3 + 10*m**2/3 + 4*m.
2*m*(m + 2)*(m + 3)/3
Find q such that q**3 - 428*q**2 + 1277*q - 850 = 0.
1, 2, 425
Find r, given that -2*r**2 - 778*r = 0.
-389, 0
Solve -4*a**2/5 + 96*a/5 - 92/5 = 0.
1, 23
Suppose 5*s**2 + 10540*s + 10535 = 0. What is s?
-2107, -1
Suppose -5*b**5 - 290*b**4 - 285*b**3 = 0. Calculate b.
-57, -1, 0
Factor -k**2/6 - k/2 + 3.
-(k - 3)*(k + 6)/6
Solve 4*v**3 - 64*v**2 - 940*v + 1000 = 0 for v.
-10, 1, 25
Factor 100*o**2 - 3680*o + 33856.
4*(5*o - 92)**2
Solve -g**4/4 - 15*g**3/4 + 3*g**2/4 + 43*g/4 - 15/2 = 0 for g.
-15, -2, 1
Factor y**2/5 + 83*y/5 + 48.
(y + 3)*(y + 80)/5
Determine t, given that 2*t**5/19 + 18*t**4/19 + 16*t**3/19 = 0.
-8, -1, 0
Solve 4*u**5 + 4*u**4 - 84*u**3 - 4*u**2 + 80*u = 0.
-5, -1, 0, 1, 4
Factor -12*n**2 + 15*n + 18.
-3*(n - 2)*(4*n + 3)
What is i in -27*i**5/2 + 114*i**4 - 697*i**3/6 - 461*i**2/3 + 242*i/3 - 28/3 = 0?
-1, 2/9, 2, 7
Factor r**2 - 232*r + 13456.
(r - 116)**2
Solve 2*b**3/5 - 2*b**2/5 - 4*b/5 = 0.
-1, 0, 2
Determine v, given that -2*v**4 + 428*v**3 - 30240*v**2 + 684288*v + 1492992 = 0.
-2, 72
Factor -u**5/5 + 3*u**3/5 + 2*u**2/5.
-u**2*(u - 2)*(u + 1)**2/5
Solve -x**3/2 + 14*x**2 - 167*x/2 + 70 = 0 for x.
1, 7, 20
Factor -49*x**3 + 3451*x**2 + 1984*x + 284.
-(x - 71)*(7*x + 2)**2
Factor y**4/8 + 3*y**3/4 + 5*y**2/8.
y**2*(y + 1)*(y + 5)/8
Find x such that -3*x**2/8 - 3*x/8 = 0.
-1, 0
Factor 2*d**2/9 - 62*d/9 - 64/9.
2*(d - 32)*(d + 1)/9
Solve j**2/12 - 107*j/2 + 34347/4 = 0 for j.
321
Solve h**5/3 - 38*h**4/3 + 172*h**3/3 + 2088*h**2 - 10368*h - 124416 = 0 for h.
-8, 18
Factor a**2/3 - 679*a/3 - 454.
(a - 681)*(a + 2)/3
Let 2*x**3/7 + 20*x**2/7 - 54*x/7 - 72/7 = 0. Calculate x.
-12, -1, 3
Factor -2*y**2/3 + 34*y + 212/3.
-2*(y - 53)*(y + 2)/3
Factor 3*k**2/2 - 7*k + 4.
(k - 4)*(3*k - 2)/2
Factor 2*f**4/3 + 10*f**3 - 34*f**2 + 106*f/3 - 12.
2*(f - 1)**3*(f + 18)/3
Let 5*