11 - 4*z**3 + 82*z**2/11 - 40*z/11 = 0.
0, 1, 20
Find q such that q**5 - 2*q**4 - 2*q**3 + 4*q**2 + q - 2 = 0.
-1, 1, 2
Determine a so that a**3/7 + 6*a**2/7 - 32/7 = 0.
-4, 2
Find r, given that 2*r**5 - 6*r**4 - 4*r**3 + 24*r**2 - 16*r = 0.
-2, 0, 1, 2
Factor -2*w**4/19 + 8*w**2/19.
-2*w**2*(w - 2)*(w + 2)/19
Factor 3*f**2 - 18*f + 27.
3*(f - 3)**2
Factor -3*i**3 - 63*i**2 - 312*i - 252.
-3*(i + 1)*(i + 6)*(i + 14)
Find l such that -2*l**3/3 + 4*l**2 + 24*l + 80/3 = 0.
-2, 10
Find j, given that j**2/3 + 172*j/3 + 7396/3 = 0.
-86
Factor -6*o**3 - 969*o**2 - 38880*o + 19683.
-3*(o + 81)**2*(2*o - 1)
Let -2*t**2/9 + 568*t/9 - 40328/9 = 0. Calculate t.
142
Factor x**2/5 + 86*x/5 - 87/5.
(x - 1)*(x + 87)/5
What is n in -450*n**4/23 - 1020*n**3/23 + 44302*n**2/23 + 11864*n/23 + 792/23 = 0?
-11, -2/15, 9
Factor s**5/7 - 32*s**4/7 + 61*s**3/7 - 30*s**2/7.
s**2*(s - 30)*(s - 1)**2/7
Factor 5*o**3 - 5805*o**2.
5*o**2*(o - 1161)
Factor 15*j**2 + 171*j + 66.
3*(j + 11)*(5*j + 2)
Factor -o**4/2 + 9*o**3 + 115*o**2/2.
-o**2*(o - 23)*(o + 5)/2
Factor 320*r**3 - 1040*r**2 + 1125*r - 405.
5*(r - 1)*(8*r - 9)**2
What is g in g**5/3 + 7*g**4/3 + 5*g**3 + 3*g**2 = 0?
-3, -1, 0
Determine y, given that 2*y**3/9 - 4*y**2/9 - 638*y/9 + 4840/9 = 0.
-20, 11
Suppose 8*p**5 - 44*p**4 + 84*p**3 - 64*p**2 + 16*p = 0. What is p?
0, 1/2, 1, 2
Determine p, given that -2*p**4/5 + 18*p**3/5 - 6*p**2 + 14*p/5 = 0.
0, 1, 7
Find k such that 5*k**2/2 + 14525*k/4 - 7265/4 = 0.
-1453, 1/2
Factor 3*c**3/4 - 567*c**2/4 + 35721*c/4 - 750141/4.
3*(c - 63)**3/4
Find l, given that -5*l**3/6 + 35*l**2/6 - 20*l/3 - 40/3 = 0.
-1, 4
Let 2*x**5/5 + 6*x**4/5 - 58*x**3/5 - 126*x**2/5 + 56*x/5 + 24 = 0. Calculate x.
-6, -2, -1, 1, 5
Factor -a**2/4 - 255*a/4 - 253/2.
-(a + 2)*(a + 253)/4
Factor 4*a**5 + 56*a**4 + 184*a**3 + 256*a**2 + 164*a + 40.
4*(a + 1)**4*(a + 10)
Determine b, given that 2*b**2/7 + 10*b/7 - 208/7 = 0.
-13, 8
Factor 2*q**4 - 36*q**3 - 6*q**2 + 112*q - 72.
2*(q - 18)*(q - 1)**2*(q + 2)
Factor 2*l**2/7 + 12*l/7.
2*l*(l + 6)/7
Factor x**3 + 9*x**2 + 23*x + 15.
(x + 1)*(x + 3)*(x + 5)
Factor -35*b**3 + 125*b**2 - 45*b - 45.
-5*(b - 3)*(b - 1)*(7*b + 3)
Factor 2*u**2/11 + 6088*u/11 + 6086/11.
2*(u + 1)*(u + 3043)/11
Factor -2*a**4 + 22*a**3 - 80*a**2 + 96*a.
-2*a*(a - 4)**2*(a - 3)
What is f in f**2/2 - 328*f + 1304 = 0?
4, 652
Solve -2*r**4 + 90*r**3 - 1322*r**2 + 7470*r - 14300 = 0.
5, 13, 22
Solve 3*b**3 - 123*b**2 + 237*b - 117 = 0 for b.
1, 39
Factor 15*m**2 + 185*m + 60.
5*(m + 12)*(3*m + 1)
Factor 2*l**4/5 - 14*l**3/5 - 44*l**2/5 + 56*l/5 + 144/5.
2*(l - 9)*(l - 2)*(l + 2)**2/5
Find o, given that -3*o**2 - 18642*o - 28960347 = 0.
-3107
Let -3*t**2 + 999*t - 1986 = 0. Calculate t.
2, 331
Factor -l**4 - 5*l**3 + 13*l**2 - 7*l.
-l*(l - 1)**2*(l + 7)
Let 21*y**5/4 - 54*y**4 + 57*y**3 + 81*y**2/2 - 249*y/4 + 27/2 = 0. Calculate y.
-1, 2/7, 1, 9
Determine n so that -2*n**3/3 - 652*n**2/3 - 17928*n - 34992 = 0.
-162, -2
Factor 3*i**3 + 47*i**2/3 + 64*i/3 + 4.
(i + 2)*(i + 3)*(9*i + 2)/3
Factor -5*i**3 - 130*i**2 - 415*i + 550.
-5*(i - 1)*(i + 5)*(i + 22)
Suppose -2*k**5/5 - 2*k**4/5 + 2*k**3 + 2*k**2 - 8*k/5 - 8/5 = 0. What is k?
-2, -1, 1, 2
Factor -5*r**3 + 615*r**2 - 7210*r + 6600.
-5*(r - 110)*(r - 12)*(r - 1)
Let 21*b**4 - 48*b**3 - 597*b**2 - 708*b + 252 = 0. What is b?
-3, -2, 2/7, 7
Let -3*s**4/5 - 16*s**3 - 121*s**2/5 + 104*s/5 + 20 = 0. What is s?
-25, -2, -2/3, 1
Factor -h**5 + 21*h**4 - 50*h**3 - 72*h**2.
-h**2*(h - 18)*(h - 4)*(h + 1)
Factor 2*t**4 - 4444*t**3 + 2468642*t**2.
2*t**2*(t - 1111)**2
Solve 3*d**4 + 39*d**3 - 345*d**2/4 + 111*d/2 - 45/4 = 0 for d.
-15, 1/2, 1
Determine y so that 7*y**4/3 + 12*y**3 - 57*y**2 + 28*y/3 + 76 = 0.
-57/7, -1, 2
Find j, given that -11*j**4/2 - 41*j**3 + 59*j**2/2 + 41*j - 24 = 0.
-8, -1, 6/11, 1
Factor -3*x**3/4 - 21*x**2/4 + 27*x/2.
-3*x*(x - 2)*(x + 9)/4
What is m in m**2/4 - 305*m/2 + 93025/4 = 0?
305
Factor a**3/4 - 15*a**2 - a/4 + 15.
(a - 60)*(a - 1)*(a + 1)/4
Find d, given that 2*d**4 + 16*d**3/5 - 48*d**2/5 - 64*d/5 + 32/5 = 0.
-2, 2/5, 2
Factor o**4 + 87*o**3 + 1935*o**2 + 1849*o.
o*(o + 1)*(o + 43)**2
Determine o so that 185*o**3 + 1865*o**2 + 4775*o + 375 = 0.
-5, -3/37
Determine w so that -4*w**2 + 568*w + 5436 = 0.
-9, 151
Find c, given that 5*c**2 + 2050*c = 0.
-410, 0
Determine v, given that 3*v**4 - 27*v**3 + 63*v**2 - 57*v + 18 = 0.
1, 6
Let -2*u**4/9 - 2*u**3/3 + 28*u**2/9 + 8*u/3 - 80/9 = 0. Calculate u.
-5, -2, 2
Factor -s**3/6 - 9*s**2/2 - 95*s/6 - 23/2.
-(s + 1)*(s + 3)*(s + 23)/6
Solve i**3/3 - 49*i**2 + 465*i - 3425/3 = 0.
5, 137
Solve -5*l**2 + 92650*l - 429201125 = 0 for l.
9265
What is p in p**2/7 + 30*p/7 - 99/7 = 0?
-33, 3
Factor -5*i**3 + 10*i**2 + 5*i - 10.
-5*(i - 2)*(i - 1)*(i + 1)
Factor 8*l**3 + 106*l**2 - 392*l - 640.
2*(l - 4)*(l + 16)*(4*l + 5)
Determine t, given that -2*t**5/3 - 2*t**4 + 10*t**3/3 + 18*t**2 + 64*t/3 + 8 = 0.
-2, -1, 3
Factor o**5 + 2*o**4 - 30*o**3 - 108*o**2 - 27*o + 162.
(o - 6)*(o - 1)*(o + 3)**3
Determine n so that -2*n**3/21 + 10*n**2/7 - 4*n/21 - 16 = 0.
-3, 4, 14
Factor 2*c**3/3 + 12*c**2 - 14*c - 76/3.
2*(c - 2)*(c + 1)*(c + 19)/3
Solve 3*n**3 - 93*n**2 + 177*n - 87 = 0 for n.
1, 29
Factor 3*j**4/5 - 51*j**3/5 - 231*j**2 - 4557*j/5.
3*j*(j - 31)*(j + 7)**2/5
Suppose -4*v**3 - 32*v**2 - 60*v = 0. What is v?
-5, -3, 0
Solve 2*y**4/3 - 896*y**3/3 - 900*y**2 - 2704*y/3 - 902/3 = 0.
-1, 451
Factor -2*i**4 - 18*i**3 + 162*i**2 - 270*i.
-2*i*(i - 3)**2*(i + 15)
Factor 5*i**2 + 215*i + 780.
5*(i + 4)*(i + 39)
Factor 4*d**4 - 40*d**3 + 64*d**2.
4*d**2*(d - 8)*(d - 2)
Solve -6*q**5 + 20*q**4 - 12*q**3 - 16*q**2 + 18*q - 4 = 0.
-1, 1/3, 1, 2
Factor 2*g**4 - 364*g**3 + 15426*g**2 + 104152*g + 88360.
2*(g - 94)**2*(g + 1)*(g + 5)
Factor -j**3/3 - j**2/3 + 10*j/3 - 8/3.
-(j - 2)*(j - 1)*(j + 4)/3
Factor -5*n**4 - 16*n**3 + 3*n**2 + 18*n.
-n*(n - 1)*(n + 3)*(5*n + 6)
Determine g, given that -147*g**4 + 5082*g**3 - 2868*g**2 + 408*g = 0.
0, 2/7, 34
Suppose 30*p**2 + 205*p - 235 = 0. What is p?
-47/6, 1
Find l such that 4*l**2 + 180*l + 176 = 0.
-44, -1
Factor 2*s**3/13 - 116*s**2/13 + 542*s/13 - 636/13.
2*(s - 53)*(s - 3)*(s - 2)/13
Factor 3*z**4/7 + 522*z**3/7 - 1584*z**2/7 + 1590*z/7 - 531/7.
3*(z - 1)**3*(z + 177)/7
Factor 2*c**2/7 - 24*c/7 - 26/7.
2*(c - 13)*(c + 1)/7
Solve 2*k**3/9 + 26*k**2/3 + 80*k + 1144/9 = 0 for k.
-26, -11, -2
Factor -b**4 - 12*b**3 - 46*b**2 - 60*b - 25.
-(b + 1)**2*(b + 5)**2
Factor 3*k**4/2 + 9*k**3 - 12*k**2 - 9*k + 21/2.
3*(k - 1)**2*(k + 1)*(k + 7)/2
Solve -15*w**3 - 2065*w**2 - 1370*w = 0 for w.
-137, -2/3, 0
What is c in c**3/7 + 18*c**2/7 + 15*c + 28 = 0?
-7, -4
Solve -r**5/4 + 3*r**4 + 43*r**3/4 + 15*r**2/2 = 0.
-2, -1, 0, 15
Determine p so that -3*p**2/7 - 22452*p/7 - 42007692/7 = 0.
-3742
Factor 2*d**3/5 - 106*d**2/5 - 2*d/5 + 106/5.
2*(d - 53)*(d - 1)*(d + 1)/5
Factor 5*j**3 - 395*j**2.
5*j**2*(j - 79)
Factor -z**4/3 + 3*z**3 - 7*z**2/3 - 3*z + 8/3.
-(z - 8)*(z - 1)**2*(z + 1)/3
Factor -5*k**2/2 - 238*k - 95/2.
-(k + 95)*(5*k + 1)/2
Factor -4*k**3/5 - 32*k**2 - 320*k.
-4*k*(k + 20)**2/5
Solve -2*f**5 - 34*f**4 + 74*f**3 - 38*f**2 = 0.
-19, 0, 1
Factor 5*b**4 - 20*b**3 - 150*b**2 + 340*b - 175.
5*(b - 7)*(b - 1)**2*(b + 5)
Let -u**3 - 2*u**2 + 31*u - 28 = 0. What is u?
-7, 1, 4
Factor g**2/5 + 19*g/5 + 48/5.
(g + 3)*(g + 16)/5
Factor -5*q**2/3 - 190*q/3 + 65.
-5*(q - 1)*(q + 39)/3
Find c, given that 154*c**3 - 16*c**2 - 8*c = 0.
-2/11, 0, 2/7
Factor 3*s**2/4 - 117*s/4 - 189/2.
3*(s - 42)*(s + 3)/4
Let -25*t**5/6 - 145*t**4/6 + 6*t**3 + 6*t**2 = 0. What is t?
-6, -2/5, 0, 3/5
Factor 2*h**2/15 - 496*h/15 + 30752/15.
2*(h - 124)**2/15
Factor -4*l**3/5 - 16*l**2/5 + 1364*l/5 - 1344/5.
-4*(l - 16)*(l - 1)*(l + 21)/5
Factor -2*m**3/5 - 36*m**2 - 810*m.
-2*m*(m + 45)**2/5
Factor -2*x**3/15 - 16*x**2/15 + 14*x/3 + 196/5.
-2*(x - 6)*(x + 7)**2/15
Solve 2*f**3/9 + 10*f**2/9 + 4*f/9 - 16/9 = 0.
-4, -2, 1
Find g such that -g**4/2 + 11*g**3 - 69*g**2/2 - 286*g - 338 = 0.
-2, 13
Suppose -4*k**4 + 2944*k**3 + 8860*k**2 + 5912*k = 0. Calculate k.
-2, -1, 0, 739
Determine l, given that 4*l**4 + 8*l**3 - 76*l**2 - 80*l = 0.
-5, -1, 0, 4
Factor d**3/6 + 11*d**2/2 + 105*d/2 + 225/2.
(d + 3)*(d + 15)**2/6
Solve -32*l**3/3 - 18*l**2 + 20*l/3 = 0.
-2, 0, 5/16
Sup