, 0, 3
Solve -3*o**4/7 + 97*o**3/7 - 449*o**2/7 + 463*o/7 - 108/7 = 0.
1/3, 1, 4, 27
Suppose -15*m**2 + 1128*m + 912 = 0. Calculate m.
-4/5, 76
Factor p**3/2 - 155*p**2/2 + 153*p.
p*(p - 153)*(p - 2)/2
Factor -2*c**2/11 + 3032*c/11 - 3030/11.
-2*(c - 1515)*(c - 1)/11
Factor -t**2/4 - 22*t.
-t*(t + 88)/4
Let 1681*q**3/4 + 1763*q**2/2 + 83*q + 2 = 0. Calculate q.
-2, -2/41
Find v such that 8*v**3 - 4*v**2 - 52*v - 24 = 0.
-2, -1/2, 3
Solve 45*y**5 - 123*y**4 - 162*y**3 + 174*y**2 + 117*y - 51 = 0.
-1, 1/3, 1, 17/5
Factor -4*i**2 + 62888*i - 247181284.
-4*(i - 7861)**2
Suppose -s**5/2 + 96*s**4 - 190*s**3 = 0. What is s?
0, 2, 190
Find d, given that 2*d**3/15 + 584*d**2/15 + 14014*d/5 - 28812/5 = 0.
-147, 2
Suppose 3*s**5 - 195*s**4 + 4074*s**3 - 29802*s**2 + 80595*s - 54675 = 0. Calculate s.
1, 5, 27
Factor 4*l**3 - 176*l**2 + 172*l.
4*l*(l - 43)*(l - 1)
Let w**3/3 + 4*w**2/3 - 128*w/3 - 256 = 0. What is w?
-8, 12
Factor -2*i**3/11 - 2*i**2/11.
-2*i**2*(i + 1)/11
Factor -33*o**2/4 + 10047*o/4 + 2745/2.
-3*(o - 305)*(11*o + 6)/4
Suppose -10*f**4/9 + 14*f**3/9 + 2*f**2/3 - 14*f/9 + 4/9 = 0. Calculate f.
-1, 2/5, 1
Factor -k**3 - 143*k**2 - 5040*k + 5184.
-(k - 1)*(k + 72)**2
Solve 4*a**4 + 16*a**3 + 8*a**2 - 16*a - 12 = 0.
-3, -1, 1
Suppose 36*k**3 - 1608*k**2 - 2192*k - 736 = 0. Calculate k.
-2/3, 46
Factor 5*a**5 - 35*a**4 + 60*a**3 + 20*a**2 - 80*a.
5*a*(a - 4)*(a - 2)**2*(a + 1)
Determine i so that 2*i**2 - 588*i - 1184 = 0.
-2, 296
Factor c**3 + 17*c**2 + 64*c + 48.
(c + 1)*(c + 4)*(c + 12)
Let 2*o**3 + 44*o**2 - 422*o - 464 = 0. What is o?
-29, -1, 8
Solve o**4/5 - o**3 + 6*o**2/5 + 4*o/5 - 8/5 = 0 for o.
-1, 2
Determine w so that -25*w**5 + 185*w**4 - 370*w**3 + 20*w**2 + 440*w - 160 = 0.
-1, 2/5, 2, 4
Determine m so that -2*m**2 + 286*m - 284 = 0.
1, 142
Factor -v**4 - 19*v**3 + 41*v**2 - 21*v.
-v*(v - 1)**2*(v + 21)
Factor 4*y**2 + 2144*y + 287296.
4*(y + 268)**2
Factor -3*x**4 + 3*x**3 + 27*x**2 - 27*x.
-3*x*(x - 3)*(x - 1)*(x + 3)
Factor -4*q**3 + 383*q**2 - 1394*q + 1288.
-(q - 92)*(q - 2)*(4*q - 7)
Factor -4*k**3 - 192*k**2 - 372*k + 53816.
-4*(k - 14)*(k + 31)**2
Factor 2*l**3/9 + 266*l**2/9 + 8710*l/9 - 8978/9.
2*(l - 1)*(l + 67)**2/9
Factor d**4 - 68*d**3 + 198*d**2 - 196*d + 65.
(d - 65)*(d - 1)**3
Let 5*j**3 + 15*j**2 - 45*j + 25 = 0. What is j?
-5, 1
Suppose -w**2/4 + 995*w/4 - 497/2 = 0. Calculate w.
1, 994
Determine i so that -2*i**4/19 - 26*i**3/19 - 70*i**2/19 + 98*i/19 = 0.
-7, 0, 1
Determine i, given that -3*i**2/5 + 171*i - 852/5 = 0.
1, 284
Factor -2*c**3/13 + 10*c**2/13 + 194*c/13 + 14.
-2*(c - 13)*(c + 1)*(c + 7)/13
Determine m so that 14*m**4/3 - 2*m**3 - 22*m**2/3 + 2*m + 8/3 = 0.
-1, -4/7, 1
Suppose 5*y**4 - 34*y**3/3 - 41*y**2/3 + 20*y/3 + 4 = 0. Calculate y.
-1, -2/5, 2/3, 3
Determine k, given that -2*k**2/3 - 140*k/3 - 46 = 0.
-69, -1
Factor -5*c**3 - 62*c**2 - 71*c + 66.
-(c + 2)*(c + 11)*(5*c - 3)
Find l, given that -4*l**2 + 8*l + 32 = 0.
-2, 4
What is h in 4*h**5 - 28*h**4 - 16*h**3 + 112*h**2 = 0?
-2, 0, 2, 7
Let -c**5/2 + c**4/2 + 5*c**3/2 - c**2/2 - 4*c - 2 = 0. What is c?
-1, 2
Suppose 28*g**5 + 220*g**4 + 584*g**3 + 584*g**2 + 156*g - 36 = 0. What is g?
-3, -1, 1/7
Factor 5*v**3 + 25*v**2 - 960*v + 3780.
5*(v - 7)*(v - 6)*(v + 18)
Determine u, given that 2*u**2/3 - 254*u/3 + 84 = 0.
1, 126
What is c in c**5/4 + 13*c**4/4 + 29*c**3/2 + 53*c**2/2 + 85*c/4 + 25/4 = 0?
-5, -1
Factor -w**3/3 - 8*w**2/3 - 4*w.
-w*(w + 2)*(w + 6)/3
Factor -5*i**4 - 745*i**3 - 28120*i**2 - 27380*i.
-5*i*(i + 1)*(i + 74)**2
Let z**2/2 + 7*z/2 - 15 = 0. What is z?
-10, 3
Factor -d**2/4 + 13*d/4 + 7/2.
-(d - 14)*(d + 1)/4
What is z in 10*z**5 - 28*z**4 - 134*z**3 + 80*z**2 + 232*z - 160 = 0?
-2, 4/5, 1, 5
Let 4*h**2 - 40*h + 36 = 0. What is h?
1, 9
Suppose 6*t**5/7 + 26*t**4/7 - 8*t**3 + 24*t**2/7 = 0. What is t?
-6, 0, 2/3, 1
Determine n so that -n**3/4 + 11*n**2/2 - 101*n/4 + 20 = 0.
1, 5, 16
Suppose 15*u**5 + 32*u**4 + 4*u**3 - 30*u**2 - 19*u - 2 = 0. What is u?
-1, -2/15, 1
Find j such that 3*j**2/4 + 633*j/4 - 2289/2 = 0.
-218, 7
Factor -15*z**3 - 76*z**2 - 68*z - 16.
-(z + 4)*(3*z + 2)*(5*z + 2)
Factor -2*r**4/9 + 38*r**3/3 - 656*r**2/3 + 13696*r/9 - 11264/3.
-2*(r - 33)*(r - 8)**3/9
Factor -2*r**5/3 - 4*r**4 - 26*r**3/3 - 8*r**2 - 8*r/3.
-2*r*(r + 1)**2*(r + 2)**2/3
Let -5*w**4/4 + 15*w**3 - 135*w**2/4 = 0. Calculate w.
0, 3, 9
Factor 4*a**2 + 52*a + 88.
4*(a + 2)*(a + 11)
Solve -21*d**5 + 261*d**4/2 - 405*d**3/2 - 75*d**2/2 + 207*d/2 + 27 = 0 for d.
-1/2, -2/7, 1, 3
Factor 3*l**4/5 - 36*l**3 + 720*l**2 - 4800*l.
3*l*(l - 20)**3/5
Factor -3*r**2 + 192*r.
-3*r*(r - 64)
Suppose 3*g**5 - 16*g**4 + 20*g**3 + 10*g**2 - 23*g + 6 = 0. Calculate g.
-1, 1/3, 1, 2, 3
Factor -2*o**3/3 + 8*o**2/3 + 218*o/3 + 208/3.
-2*(o - 13)*(o + 1)*(o + 8)/3
Factor -12*g**3 - 14*g**2 - 2*g.
-2*g*(g + 1)*(6*g + 1)
Let -108*w**5 - 72*w**4 + 33*w**3 - 3*w**2 = 0. What is w?
-1, 0, 1/6
Determine k so that k**3/4 + 51*k**2/2 + 1593*k/4 - 13924 = 0.
-59, 16
Solve -3*r**5 - 69*r**4 - 558*r**3 - 1722*r**2 - 735*r + 3087 = 0 for r.
-7, -3, 1
Factor -4*f**3 - 6576*f**2 - 3603648*f - 658266368.
-4*(f + 548)**3
Suppose -f**4/6 - f**3 - 2*f**2 - 5*f/3 - 1/2 = 0. Calculate f.
-3, -1
Solve -3*t**5/7 + 10*t**4/7 + 5*t**3/7 - 20*t**2/7 - 12*t/7 = 0 for t.
-1, -2/3, 0, 2, 3
Suppose -18*z**5 + 42*z**4 + 100*z**3 - 404*z**2 + 430*z - 150 = 0. Calculate z.
-3, 1, 5/3
Suppose -u**3 + 31*u**2 + 32*u = 0. Calculate u.
-1, 0, 32
Solve 3*c**2/5 - 1512*c/5 + 190512/5 = 0 for c.
252
Determine g so that -39*g**3/8 - 171*g**2/4 - 231*g/8 + 9 = 0.
-8, -1, 3/13
Factor -3*k**3/4 + 3*k**2 + 81*k/4 - 135/2.
-3*(k - 6)*(k - 3)*(k + 5)/4
What is b in 4*b**3/9 - 112*b**2/3 + 332*b/9 = 0?
0, 1, 83
Suppose i**3 - 145*i**2 = 0. Calculate i.
0, 145
Factor -h**5 + 9*h**4 - 27*h**3 + 23*h**2 + 24*h - 36.
-(h - 3)**2*(h - 2)**2*(h + 1)
Determine n, given that -2*n**5/3 + 482*n**4/3 - 38876*n**3/3 + 1061440*n**2/3 - 947200*n/3 - 2048000/3 = 0.
-1, 2, 80
What is m in 2*m**5 + 7*m**4 + 3*m**3 = 0?
-3, -1/2, 0
Find r, given that -r**4/3 - 133*r**3/3 - 4355*r**2/3 + 4489*r/3 = 0.
-67, 0, 1
Determine h so that -h**3 + 15*h**2 - 75*h + 125 = 0.
5
What is x in -x**5/5 - 6*x**4/5 + 82*x**3/5 + 636*x**2/5 + 1359*x/5 + 162 = 0?
-9, -3, -1, 10
Determine p so that 4*p**4 + 332*p**3 + 7668*p**2 + 32292*p + 36504 = 0.
-39, -3, -2
Factor -20*a**3 - 108*a**2 + 80*a + 48.
-4*(a - 1)*(a + 6)*(5*a + 2)
Let -3*z**3/8 - 81*z**2/8 - 693*z/8 - 1911/8 = 0. Calculate z.
-13, -7
Factor 2*g**2/3 - 148*g/3 + 146/3.
2*(g - 73)*(g - 1)/3
Let -m**5 + 5*m**4 + 22*m**3 - 86*m**2 - 165*m + 225 = 0. What is m?
-3, 1, 5
Factor k**3/4 + 8*k**2 - 235*k + 1300.
(k - 10)**2*(k + 52)/4
Find s, given that -4*s**5/9 - 34*s**4/9 - 4*s**3/3 + 34*s**2/9 + 16*s/9 = 0.
-8, -1, -1/2, 0, 1
Let -u**2/3 - 34*u - 867 = 0. What is u?
-51
Let 2*i**2/3 + 20*i/9 - 16/9 = 0. What is i?
-4, 2/3
Find k such that -26*k**4/5 + 154*k**3/5 - 60*k**2 + 184*k/5 + 16/5 = 0.
-1/13, 2
Find w, given that 4*w**3 + 108*w**2 + 368*w = 0.
-23, -4, 0
Factor -n**4/2 + 11*n**3/2 - 37*n**2/2 + 45*n/2 - 9.
-(n - 6)*(n - 3)*(n - 1)**2/2
Determine v, given that v**2/3 - 104*v/3 + 2704/3 = 0.
52
Factor 2*i**2/11 - 136*i/11 + 134/11.
2*(i - 67)*(i - 1)/11
Find m, given that 392*m**3 - 1064*m**2 + 610*m - 100 = 0.
5/14, 2
Factor -3*p**5/2 + 6*p**3.
-3*p**3*(p - 2)*(p + 2)/2
Factor 3*w**2 + 78*w + 507.
3*(w + 13)**2
Solve -k**3 + 7*k - 6 = 0 for k.
-3, 1, 2
Factor r**3 - 8*r**2 + 5*r + 50.
(r - 5)**2*(r + 2)
Let -2*o**2/7 = 0. Calculate o.
0
Solve 8*v**4/3 - 710*v**3/3 + 15302*v**2/3 + 6690*v + 1350 = 0 for v.
-1, -1/4, 45
Factor 2*s**4 - 16*s**3 - 54*s**2 + 364*s + 784.
2*(s - 7)**2*(s + 2)*(s + 4)
Factor -x**3 + 4*x**2 + 12*x.
-x*(x - 6)*(x + 2)
Suppose 30*c**2 - 1294*c + 172 = 0. What is c?
2/15, 43
Let -3*r**3/5 + 42*r**2/5 - 63*r/5 - 108/5 = 0. Calculate r.
-1, 3, 12
Factor 5*l**2 - 2160*l - 4340.
5*(l - 434)*(l + 2)
Factor 3*a**3 + 291*a**2 + 570*a.
3*a*(a + 2)*(a + 95)
Factor 2*v**4/9 + 34*v**3/3 - 104*v**2/9.
2*v**2*(v - 1)*(v + 52)/9
Suppose -27*i**4/4 - 27*i**3/2 + 345*i**2/4 - 72*i + 15 = 0. Calculate i.
-5, 1/3, 2/3, 2
Find j such that -4*j**5 - 8*j**4 + 12*j**3 + 16*j**2 - 16*j = 0.
-2, 0, 1
Find u, given that 2*u**3 - 20*u**2 - 22*u = 0.
-1, 0, 11
Factor -2*d*