ne x, given that -3*x**3/2 + 219*x**2/2 + 3*x/2 - 219/2 = 0.
-1, 1, 73
Find r, given that 12769*r**4/4 - 306343*r**3/2 + 7344097*r**2/4 + 32532*r + 144 = 0.
-1/113, 24
What is i in -i**5 - 8*i**4 - 22*i**3 - 24*i**2 - 9*i = 0?
-3, -1, 0
Factor 3*x**4 + 156*x**3 + 153*x**2.
3*x**2*(x + 1)*(x + 51)
Solve -10*s**5/9 - 104*s**4/9 - 130*s**3/9 - 4*s**2 = 0 for s.
-9, -1, -2/5, 0
Solve -u**4/7 + 201*u**3/7 - 200*u**2/7 = 0.
0, 1, 200
Factor -2*m**2/3 - 8*m.
-2*m*(m + 12)/3
Find k such that k**3 - 9*k**2 - 22*k = 0.
-2, 0, 11
Factor j**3 + 11*j**2 + 15*j - 27.
(j - 1)*(j + 3)*(j + 9)
Factor 5*f**3 + 10*f**2 - 40*f.
5*f*(f - 2)*(f + 4)
Suppose 2*y**2/11 - 1214*y/11 + 220 = 0. Calculate y.
2, 605
Let 6*w**5 + 45*w**4/2 - 42*w**3 - 15*w**2 + 36*w - 15/2 = 0. What is w?
-5, -1, 1/4, 1
Find s such that -4*s**3/7 + 20*s**2/7 + 48*s/7 - 144/7 = 0.
-3, 2, 6
Determine l so that 4*l**3/5 - 284*l**2/5 - 5312*l/5 - 22272/5 = 0.
-8, 87
What is y in 3*y**2/4 + 83*y/4 + 27/2 = 0?
-27, -2/3
Determine k, given that -2*k**4/11 + 736*k**3/11 - 67712*k**2/11 = 0.
0, 184
Find q such that -4*q**3 + 24*q**2 + 64*q = 0.
-2, 0, 8
Solve -2*j**2/3 + 992*j/3 = 0 for j.
0, 496
Find u such that 27*u**4 + 93*u**3 + 66*u**2 = 0.
-22/9, -1, 0
Factor -y**3/2 + 257*y**2/2 + 129*y.
-y*(y - 258)*(y + 1)/2
Determine k so that k**4/3 + 5*k**3 - 11*k**2 + 17*k/3 = 0.
-17, 0, 1
Solve 2*f**2 + 1180*f + 174050 = 0 for f.
-295
Factor 4*u**4 - 8*u**3 - 44*u**2 + 48*u.
4*u*(u - 4)*(u - 1)*(u + 3)
Let 17*c**3/2 + 75*c**2 - 197*c/2 + 15 = 0. Calculate c.
-10, 3/17, 1
Factor 49*q**3 + 11193*q**2 - 6408*q + 916.
(q + 229)*(7*q - 2)**2
Factor h**4/7 - 64*h**3/7 + 954*h**2/7 + 2376*h/7 - 3267/7.
(h - 33)**2*(h - 1)*(h + 3)/7
Determine h so that 4*h**4/9 + 457*h**3/9 + 566*h**2/9 + 113*h/9 = 0.
-113, -1, -1/4, 0
Determine j, given that 4*j**3 + 72*j**2 + 432*j + 864 = 0.
-6
Factor -507*z**2/4 + 117*z/2 - 27/4.
-3*(13*z - 3)**2/4
Let 147*r**5/2 - 6237*r**4/2 + 1287*r**3 + 1506*r**2 + 252*r = 0. Calculate r.
-2/7, 0, 1, 42
Solve 2*z**5 + 8*z**4 - 12*z**3 - 8*z**2 + 10*z = 0.
-5, -1, 0, 1
Factor 2*t**5/11 - 8*t**4/11 - 32*t**3/11 + 128*t**2/11.
2*t**2*(t - 4)**2*(t + 4)/11
Factor 4*w**3/9 + 28*w**2/3 + 196*w/3 + 1372/9.
4*(w + 7)**3/9
Factor v**3/6 - 13*v**2/6 + 2*v.
v*(v - 12)*(v - 1)/6
Determine s so that s**4/4 - 26*s**3 + 1014*s**2 - 17576*s + 114244 = 0.
26
Find p such that 3*p**3 - 9*p - 6 = 0.
-1, 2
Factor -5*j**2 - 6520*j - 2125520.
-5*(j + 652)**2
Factor -f**2/3 - 150*f + 904/3.
-(f - 2)*(f + 452)/3
Find j, given that 3*j**5 - 12*j**4 - 33*j**3 - 18*j**2 = 0.
-1, 0, 6
Factor 3*x**4 + 24*x**3 - 57*x**2 + 30*x.
3*x*(x - 1)**2*(x + 10)
Factor -3*v**2/5 + 1728*v/5 - 248832/5.
-3*(v - 288)**2/5
Let -2*n**3/11 + 496*n**2/11 - 494*n/11 = 0. What is n?
0, 1, 247
What is p in 4*p**3/7 + 32*p**2/7 - 748*p/7 - 968 = 0?
-11, 14
Suppose 2240*s**5 - 2720*s**4 + 860*s**3 + 100*s**2 - 85*s + 10 = 0. What is s?
-2/7, 1/4, 1/2
Let 2*d**4/5 - 362*d**3/5 + 16902*d**2/5 - 46102*d/5 - 63368/5 = 0. Calculate d.
-1, 4, 89
Factor 2*u**4/3 - 2*u**3/3 - 20*u**2/3 + 8*u/3 + 16.
2*(u - 3)*(u - 2)*(u + 2)**2/3
Factor 15*d**5 + 24*d**4 + 3*d**3 - 6*d**2.
3*d**2*(d + 1)**2*(5*d - 2)
What is q in -q**4/2 + 17*q**3/2 - 28*q**2 + 26*q = 0?
0, 2, 13
Find t such that -15*t**5 - 95*t**4 + 75*t**3 + 35*t**2 = 0.
-7, -1/3, 0, 1
Find i such that 3*i**5 + 45*i**4 - 282*i**3 + 360*i**2 = 0.
-20, 0, 2, 3
Factor 5*z**5 + 200*z**4 + 2750*z**3 + 12100*z**2 - 33275*z - 292820.
5*(z - 4)*(z + 11)**4
Let -v**5/5 - 4*v**4 + 68*v**3/5 - 26*v**2/5 - 67*v/5 + 46/5 = 0. What is v?
-23, -1, 1, 2
Find t, given that 125*t**5 - 1150*t**4 + 2145*t**3 + 2300*t**2 + 500*t = 0.
-2/5, 0, 5
Determine i, given that 20*i**5 + 208*i**4 + 540*i**3 + 464*i**2 + 112*i = 0.
-7, -2, -1, -2/5, 0
Factor 3*g**2/2 - 1125*g + 2244.
3*(g - 748)*(g - 2)/2
Find h such that 162*h**3/7 - 11574*h**2/7 + 5120*h/7 - 568/7 = 0.
2/9, 71
Factor -1250*l**2/9 + 3100*l/3 - 1922.
-2*(25*l - 93)**2/9
Let -x**4/7 - x**3/7 + 2*x**2/7 = 0. Calculate x.
-2, 0, 1
Solve j**3 + 19*j**2 - j - 19 = 0.
-19, -1, 1
Factor 3*z**4 + 39*z**3 + 117*z**2 + 81*z.
3*z*(z + 1)*(z + 3)*(z + 9)
Factor 5*v**4 - 535*v**3 + 3075*v**2 - 4545*v.
5*v*(v - 101)*(v - 3)**2
Factor -a**2/3 + 23*a/3 - 76/3.
-(a - 19)*(a - 4)/3
Determine b so that -4*b**3/3 - 5*b**2/3 = 0.
-5/4, 0
Factor -r**2 + 29*r + 30.
-(r - 30)*(r + 1)
Factor 2*m**5/13 - 1396*m**4/13 + 428*m**3 - 8336*m**2/13 + 5554*m/13 - 1388/13.
2*(m - 694)*(m - 1)**4/13
Determine m so that 106*m**3 + 210*m**2 + 102*m - 2 = 0.
-1, 1/53
Solve 8*j**3 + 164*j**2 - 660*j + 288 = 0 for j.
-24, 1/2, 3
Let 4*x**2 - 196*x = 0. Calculate x.
0, 49
Determine y, given that -94*y**5/3 - 194*y**4/3 - 4*y**3 + 188*y**2/3 + 106*y/3 + 2 = 0.
-1, -3/47, 1
Solve -2*l**2/17 - 230*l/17 + 2772/17 = 0 for l.
-126, 11
Factor i**3 - 21*i**2 + 20*i.
i*(i - 20)*(i - 1)
Factor 5*i**4 + 35*i**3 - 65*i**2 - 215*i - 120.
5*(i - 3)*(i + 1)**2*(i + 8)
Determine i so that i**5 - 15*i**4 + 47*i**3 - 29*i**2 - 48*i + 44 = 0.
-1, 1, 2, 11
Determine x so that -3*x**2/8 - 3*x/2 + 297/2 = 0.
-22, 18
Factor -5*b**2 + 125*b - 680.
-5*(b - 17)*(b - 8)
Factor -2*i**2/19 - 92*i/19 - 1058/19.
-2*(i + 23)**2/19
Solve 44*j**5/5 + 784*j**4/5 - 4896*j**3/5 + 7816*j**2/5 - 860*j + 552/5 = 0 for j.
-23, 2/11, 1, 3
Determine z so that -z**2/5 - 16*z/5 = 0.
-16, 0
Determine j, given that 3*j**3/2 - 33*j**2 + 357*j/2 - 147 = 0.
1, 7, 14
What is l in l**2/6 + 106*l/3 + 5618/3 = 0?
-106
Factor -2*f**3/3 - 1392*f**2 + 2786*f - 4180/3.
-2*(f - 1)**2*(f + 2090)/3
Factor 2*l**2/11 - 290*l/11 + 52.
2*(l - 143)*(l - 2)/11
Factor -3*k**3/7 + 9*k**2 - 117*k/7 + 57/7.
-3*(k - 19)*(k - 1)**2/7
Suppose -7*r**3/9 + r**2 + 46*r/3 - 40/9 = 0. What is r?
-4, 2/7, 5
Let 27*l**4/8 - 237*l**3/8 + 297*l**2/4 - 99*l/2 - 15 = 0. Calculate l.
-2/9, 2, 5
Find h such that -8*h**3/11 + 14*h**2 + 332*h/11 + 170/11 = 0.
-1, 85/4
Determine m, given that m**2/4 - 363*m + 1451/4 = 0.
1, 1451
Factor -2*d**5 - 3*d**4 + 2*d**3 + 4*d**2 - 1.
-(d - 1)*(d + 1)**3*(2*d - 1)
Solve -4*p**5 - 85*p**4/2 - 159*p**3/2 + 180*p**2 - 54*p = 0.
-6, 0, 3/8, 1
Find c such that -c**5 + 469*c**4 + 1886*c**3 + 2834*c**2 + 1891*c + 473 = 0.
-1, 473
Suppose -5*h**4 - 340*h**3 + 735*h**2 + 2470*h + 1400 = 0. Calculate h.
-70, -1, 4
Let -2*p**5 - 80*p**4 - 366*p**3 - 568*p**2 - 280*p = 0. What is p?
-35, -2, -1, 0
Find r, given that 6*r**4/7 - 3*r**3/7 - 9*r**2 - 24*r/7 + 12 = 0.
-2, 1, 7/2
Suppose p**2 - 114*p + 3249 = 0. Calculate p.
57
Determine t so that 4*t**5/5 + 8*t**4 - 12*t**3/5 - 112*t**2/5 + 16*t = 0.
-10, -2, 0, 1
Suppose m**4 + 52*m**3 + 46*m**2 - 252*m + 153 = 0. What is m?
-51, -3, 1
Suppose 3*h**3/4 - 69*h**2/2 + 1077*h/4 + 1365/2 = 0. Calculate h.
-2, 13, 35
Suppose -2*v**5/5 - 42*v**4/5 - 114*v**3/5 - 22*v**2 - 36*v/5 = 0. What is v?
-18, -1, 0
Factor -5*v**5 - 5*v**4 + 80*v**3 - 100*v**2.
-5*v**2*(v - 2)**2*(v + 5)
Find f such that -f**4 - 345*f**3 - 27768*f**2 + 348524*f = 0.
-178, 0, 11
Let 2*d**5 - 67*d**4 + 154*d**3 + 37*d**2 - 186*d = 0. Calculate d.
-1, 0, 3/2, 2, 31
Find d such that 4*d**5 + 28*d**4 - 248*d**3 - 872*d**2 - 908*d - 308 = 0.
-11, -1, 7
Factor 4*m**2/5 - 256*m/5 + 4096/5.
4*(m - 32)**2/5
Factor d**4/3 + 2*d**3/3 + d**2/3.
d**2*(d + 1)**2/3
Factor -5*k**2 - 1350*k + 1355.
-5*(k - 1)*(k + 271)
Factor 5*g**3 + 160*g**2 + 285*g - 450.
5*(g - 1)*(g + 3)*(g + 30)
What is k in 13824*k**3/5 - 12096*k**2/5 + 3528*k/5 - 343/5 = 0?
7/24
Factor -4*r**3 - 8*r**2 + 144*r + 288.
-4*(r - 6)*(r + 2)*(r + 6)
Solve f**4 - 84*f**3 + 245*f**2 - 162*f = 0.
0, 1, 2, 81
Factor -2*t**4 - 100*t**3 - 792*t**2 + 25168*t + 340736.
-2*(t - 16)*(t + 22)**3
Let x**4/7 + 58*x**3/7 + 53*x**2/7 - 232*x/7 - 228/7 = 0. What is x?
-57, -2, -1, 2
Suppose -60*u**3 + 361*u**2 + 414*u - 7 = 0. Calculate u.
-1, 1/60, 7
Factor u**2/6 - 44*u/3 - 89/6.
(u - 89)*(u + 1)/6
Factor 2*x**3/7 + 1676*x**2/7.
2*x**2*(x + 838)/7
Factor 2*m**2/3 - 26*m + 760/3.
2*(m - 20)*(m - 19)/3
Let -2*c**3 + 8*c**2 + 22*c + 12 = 0. What is c?
-1, 6
Let -15*z**4/8 - 51*z**3/8 + 33*z**2/2 + 15*z/2 = 0. Calculate z.
-5, -2/5, 0, 2
Factor 89*h**2/2 - 1514*h + 34.
(h - 34)*(89*h - 2)/2
Let i**2/7 - 24*i + 332/7 = 0. Calculate i.
2, 166
Find a, given that 75*a**5/7 - 45*a**4 + 297*a**3/7 + 219*a**2/7 - 