0.
-5, -3, -1, 0, 1
Factor 5*c**2 + 3045*c - 6110.
5*(c - 2)*(c + 611)
Determine l so that 3*l**5 - 2292*l**4 + 446811*l**3 - 3440406*l**2 + 2029860*l + 21432600 = 0.
-2, 5, 378
Factor -p**3/4 + 4*p**2 - 13*p + 12.
-(p - 12)*(p - 2)**2/4
Factor -4*z**3 - 36*z**2 + 88*z + 960.
-4*(z - 5)*(z + 6)*(z + 8)
Factor 4*v**2 + 184*v/5 - 284.
4*(v - 5)*(5*v + 71)/5
Factor d**3/6 - 329*d**2/6 + 27547*d/6 - 26569/2.
(d - 163)**2*(d - 3)/6
Determine d so that -d**2/6 - 233*d/2 = 0.
-699, 0
What is c in -210*c**3 + 267*c**2/2 + 159*c/2 - 3 = 0?
-2/5, 1/28, 1
Factor 3*d**2/5 + 84*d/5 + 588/5.
3*(d + 14)**2/5
Solve -4*m**5 - 16*m**4 + 40*m**2 + 4*m - 24 = 0 for m.
-3, -2, -1, 1
Let -15*p**2 - 100*p + 35 = 0. What is p?
-7, 1/3
Solve 2*l**5 - 2*l**4 - 2*l**3 + 2*l**2 = 0.
-1, 0, 1
Factor 3*n**2/4 + 1215*n/4.
3*n*(n + 405)/4
Determine u so that -3*u**5 + 3*u**4 + 45*u**3 + 69*u**2 + 30*u = 0.
-2, -1, 0, 5
Factor 4*j**3 - 612*j**2 + 24300*j - 67500.
4*(j - 75)**2*(j - 3)
Factor 2*m**3/21 - 8*m**2/21 + 8*m/21.
2*m*(m - 2)**2/21
Solve 2*c**4 - 448*c**3 + 24634*c**2 + 51076*c = 0 for c.
-2, 0, 113
Factor -5*g**3 + 285*g**2 + 7050*g + 12920.
-5*(g - 76)*(g + 2)*(g + 17)
Factor s**2 - 21*s - 490.
(s - 35)*(s + 14)
What is x in -36*x**5/13 - 174*x**4/13 - 292*x**3/13 - 200*x**2/13 - 48*x/13 = 0?
-2, -3/2, -2/3, 0
Factor -z**4 - 108*z**3 - 3206*z**2 - 14892*z + 18207.
-(z - 1)*(z + 7)*(z + 51)**2
Factor -z**3 - 88*z**2 - 901*z + 50562.
-(z - 18)*(z + 53)**2
Factor x**2/5 + 2*x.
x*(x + 10)/5
Factor 9*b**3/5 - 272*b**2/5 + 417*b - 90.
(b - 15)**2*(9*b - 2)/5
Factor 2*d**2/7 - 88*d/7 + 86/7.
2*(d - 43)*(d - 1)/7
Factor k**2/11 + 6*k/11 - 17.
(k - 11)*(k + 17)/11
Factor 2*p**3/7 - 6*p/7 - 4/7.
2*(p - 2)*(p + 1)**2/7
Suppose -9*n**5 + 15*n**4 - 3*n**3 - 3*n**2 = 0. Calculate n.
-1/3, 0, 1
Factor -o**4 + 7*o**3 + 92*o**2 + 84*o.
-o*(o - 14)*(o + 1)*(o + 6)
Let 4*u**2 + 4*u - 80 = 0. Calculate u.
-5, 4
What is p in 722*p**3 - 2508*p**2/7 + 360*p/7 - 16/7 = 0?
2/19, 2/7
Find x, given that 3*x**4 + 39*x**3 + 48*x**2 - 576*x = 0.
-8, 0, 3
Factor v**3/2 + v**2/2 - 5*v + 4.
(v - 2)*(v - 1)*(v + 4)/2
Determine m, given that -2*m**4 + 32*m**3 - 96*m**2 = 0.
0, 4, 12
Factor 12*b**3/7 - 164*b**2/7 + 100*b/7 + 52/7.
4*(b - 13)*(b - 1)*(3*b + 1)/7
Factor 12*l**3 - 1000*l**2 + 20496*l + 14112.
4*(l - 42)**2*(3*l + 2)
Factor -7*i**3 - 440*i**2 - 799*i - 366.
-(i + 1)*(i + 61)*(7*i + 6)
What is x in -15*x**4 + 355*x**3 - 2270*x**2 + 4960*x - 2400 = 0?
2/3, 4, 15
Solve -2*m**3 - 176*m**2 - 346*m - 172 = 0 for m.
-86, -1
Factor 2*j**2 - 302*j + 3336.
2*(j - 139)*(j - 12)
Factor 2*b**3/9 + 4*b**2/9.
2*b**2*(b + 2)/9
Determine w so that -2*w**5 + 52*w**4 + 1282*w**3 + 7524*w**2 + 9720*w - 18576 = 0.
-6, 1, 43
Determine x, given that 3*x**2/8 - 9*x/8 - 27/4 = 0.
-3, 6
Factor 2*q**4/9 - 10*q**3/9 - 52*q**2/9 + 128*q/3 - 64.
2*(q - 4)**2*(q - 3)*(q + 6)/9
Suppose -2*k**4 + 8*k**3 + 56*k**2 - 320*k + 384 = 0. What is k?
-6, 2, 4
Factor d**4/5 + 42*d**3/5 + 24*d**2 + 118*d/5 + 39/5.
(d + 1)**3*(d + 39)/5
Let -b**2/5 + 89*b/5 + 18 = 0. Calculate b.
-1, 90
Factor -w**2 + 21*w - 54.
-(w - 18)*(w - 3)
Find k such that -2*k**3 + 62*k**2 + 2*k - 62 = 0.
-1, 1, 31
Factor 2*f**4 + 184*f**3 + 3080*f**2.
2*f**2*(f + 22)*(f + 70)
What is m in -21*m**3/4 - 103*m**2/4 + 5*m/2 = 0?
-5, 0, 2/21
Factor -2*r**2/3 + 12*r - 48.
-2*(r - 12)*(r - 6)/3
Let 2*d**4 - 104*d**3 - 2*d**2 + 104*d = 0. What is d?
-1, 0, 1, 52
Suppose f**3/4 + 47*f**2/4 + 45*f/2 = 0. Calculate f.
-45, -2, 0
Factor -500*a**5 + 13600*a**4 - 100340*a**3 + 107672*a**2 - 41392*a + 5408.
-4*(a - 13)**2*(5*a - 2)**3
Factor 2*w**4/3 - 14*w**3/3 + 10*w**2 - 26*w/3 + 8/3.
2*(w - 4)*(w - 1)**3/3
Find p, given that -3*p**2 - 2556*p - 544428 = 0.
-426
Factor i**3/5 + 2*i**2 - 4*i/5 - 8.
(i - 2)*(i + 2)*(i + 10)/5
Factor -k**2/4 + 113*k - 12769.
-(k - 226)**2/4
Solve -3*r**3 - 4263*r**2 = 0 for r.
-1421, 0
Factor z**2/3 - 7354*z/3 + 13520329/3.
(z - 3677)**2/3
Solve -7*y**2 - 10*y = 0.
-10/7, 0
Suppose k**5 + 15*k**4 - k**3 - 15*k**2 = 0. What is k?
-15, -1, 0, 1
What is k in -4*k**5 - 76*k**4 - 248*k**3 - 104*k**2 + 252*k + 180 = 0?
-15, -3, -1, 1
Factor -3*a**2 + 6*a + 297.
-3*(a - 11)*(a + 9)
Factor -3*t**2/4 - 3*t/4 + 3/2.
-3*(t - 1)*(t + 2)/4
Determine h, given that 63*h**3/5 + 11*h**2/5 - 2*h/5 = 0.
-2/7, 0, 1/9
Factor -o**5/5 + 9*o**4/5 - 14*o**3/5.
-o**3*(o - 7)*(o - 2)/5
Let -2*w**3 - 24*w**2 - 82*w - 84 = 0. What is w?
-7, -3, -2
Find s, given that 9*s**4/5 - 120*s**3 + 10764*s**2/5 - 61344*s/5 + 36288/5 = 0.
2/3, 12, 42
Factor 2*q**4 + 10*q**3 + 4*q**2 - 16*q.
2*q*(q - 1)*(q + 2)*(q + 4)
Find j such that -4*j**2 + 500*j - 496 = 0.
1, 124
Factor -i**3/4 - 7*i**2/8 - 3*i/8.
-i*(i + 3)*(2*i + 1)/8
Find i, given that 3*i**4/5 + 6*i**3/5 - 12*i**2/5 - 6*i/5 + 9/5 = 0.
-3, -1, 1
Find j, given that -j**3 + 5*j**2 - 7*j + 3 = 0.
1, 3
Find h such that 2*h**4/9 - 40*h**3/9 - 46*h**2/3 = 0.
-3, 0, 23
What is o in 3*o**5/2 + 15*o**4/2 - 87*o**3 + 141*o**2 + 171*o/2 - 297/2 = 0?
-11, -1, 1, 3
Determine h, given that -h**3/6 + h**2/3 + 7*h/6 + 2/3 = 0.
-1, 4
Solve v**2/5 + 32*v/5 - 117 = 0 for v.
-45, 13
Suppose -l**3 + 149*l**2 - 6499*l + 67335 = 0. Calculate l.
15, 67
Factor 2*p**2/5 + 1782*p/5 - 1784/5.
2*(p - 1)*(p + 892)/5
Solve -2*u**3 + 54*u**2 + 56*u = 0.
-1, 0, 28
Factor -3*b**2 - 33*b - 90.
-3*(b + 5)*(b + 6)
Determine u, given that 2*u**3 + 434*u**2 + 23326*u - 23762 = 0.
-109, 1
What is z in 4*z**5 + 32*z**4 + 48*z**3 - 8*z**2 - 52*z - 24 = 0?
-6, -1, 1
Factor b**3/6 - 803*b**2/6 + 401*b/3.
b*(b - 802)*(b - 1)/6
Factor 2*s**4/9 + 20*s**3/9 - 14*s**2/9 - 392*s/9.
2*s*(s - 4)*(s + 7)**2/9
Suppose -2*c**4 + 134*c**3 - 116*c**2 - 1080*c + 1584 = 0. What is c?
-3, 2, 66
Let 5*i**2 + 100*i - 105 = 0. What is i?
-21, 1
Find h, given that 384*h**4/5 + 2016*h**3/5 + 1782*h**2/5 - 2268*h/5 + 486/5 = 0.
-3, 3/8
Suppose -2*j**2/7 + 180*j/7 + 26 = 0. What is j?
-1, 91
Factor -2*q**2/7 - 18*q/7 + 20.
-2*(q - 5)*(q + 14)/7
Find s such that -5*s**3 + 460*s**2 - 10425*s + 69750 = 0.
15, 62
Let -3*p**2 - 261*p - 258 = 0. What is p?
-86, -1
Let -2*s**3 - 780*s**2 - 79074*s - 583696 = 0. What is s?
-191, -8
Suppose 432*z**3/5 - 3096*z**2/5 + 6771*z/5 - 4107/5 = 0. What is z?
1, 37/12
Find o, given that -5*o**3 + 285*o**2 - 1080*o + 1060 = 0.
2, 53
What is o in -15*o**4 + 40*o**3 + 40*o**2 - 160*o + 80 = 0?
-2, 2/3, 2
Factor 69*m**2 - 54*m - 15.
3*(m - 1)*(23*m + 5)
Find h, given that 5*h**4 + 530*h**3 + 11145*h**2 - 153700*h + 420500 = 0.
-58, 5
Suppose 4*a**3 + 9300*a**2 - 18612*a + 9308 = 0. What is a?
-2327, 1
Let 5*n**4 - 100*n**3 + 295*n**2 + 400*n = 0. What is n?
-1, 0, 5, 16
Suppose a**2/8 - 51*a/4 + 135 = 0. What is a?
12, 90
Find n, given that 60*n**2 - 16792*n - 2240 = 0.
-2/15, 280
What is m in -2*m**3/17 + 16*m**2/17 + 2*m/17 - 16/17 = 0?
-1, 1, 8
Factor -4*f**2 + 1624*f - 1620.
-4*(f - 405)*(f - 1)
Factor -x**2/7 + 54*x/7 + 55/7.
-(x - 55)*(x + 1)/7
Determine j so that -18*j**3/11 - 24*j**2 - 162*j/11 + 84/11 = 0.
-14, -1, 1/3
Find m such that -3*m**5 - 24*m**4 + 93*m**3 + 1014*m**2 + 540*m - 5400 = 0.
-6, -5, 2, 6
Determine g, given that 32*g**3 - 1552*g**2 + 23074*g - 96446 = 0.
7, 83/4
Find o such that 525*o**5/2 + 2005*o**4/2 + 447*o**3 - 606*o**2 - 20*o + 48 = 0.
-3, -4/3, -2/7, 2/5
What is o in -3*o**3 - 81*o**2 + 84*o = 0?
-28, 0, 1
Let 2*u**5/3 + 266*u**4/3 + 11612*u**3/3 + 52740*u**2 - 117450*u + 60750 = 0. Calculate u.
-45, 1
Determine w, given that -2*w**3/3 - 650*w**2/3 - 52486*w/3 + 53138/3 = 0.
-163, 1
What is x in -x**4 - 330*x**3 + 332*x**2 + 330*x - 331 = 0?
-331, -1, 1
Factor 5*d**4 - 20*d**3 - 15*d**2 + 70*d - 40.
5*(d - 4)*(d - 1)**2*(d + 2)
Suppose 2*o**4 + 4898*o**3 + 9790*o**2 + 4894*o = 0. What is o?
-2447, -1, 0
Determine s so that -s**3/4 + s = 0.
-2, 0, 2
Find b, given that 2*b**2/3 + 106*b/3 = 0.
-53, 0
Factor 4*y**4/5 - 16*y**3/5 - 16*y**2/5 + 64*y/5.
4*y*(y - 4)*(y - 2)*(y + 2)/5
Solve 4*v**4/5 + 24*v**3/5 - 4*v**2/5 - 24*v/5 = 0 for v.
-6, -1, 0, 1
Determine b, given that -2*b**2/5 + 2904*b/5 = 0.
0, 1452
Factor -3*a**2/7 - 360*a/7 - 10800/7.
-3*(a + 60)**2/7
What is w in 5*w**4 - 60*w**3 - 1120*w**2 + 240*w + 4400 = 0?
-10, -2, 2, 22
Solve o**5 + 6*o**4 - 16*o**3 + 2*o**2 + 15*o - 8 = 0.
-8, -1, 1
Find i such that 2*i**