+ n**2 + 10*n/3 = 0.
-1, 0, 2, 5
Factor -2*f**2 + 8*f/3 - 2/3.
-2*(f - 1)*(3*f - 1)/3
Factor 3*b**3/4 + 9*b**2/4 - 3.
3*(b - 1)*(b + 2)**2/4
Solve 2*v**3/7 - 2*v**2 + 4*v - 16/7 = 0.
1, 2, 4
Let -2*g**5/3 - 2*g**4/3 + 14*g**3 - 22*g**2/3 - 136*g/3 + 40 = 0. What is g?
-5, -2, 1, 2, 3
Find l, given that 3*l**4 - 39*l**3 + 27*l**2 + 399*l + 330 = 0.
-2, -1, 5, 11
Find x, given that 35*x**4/3 - 235*x**3/3 + 140*x**2/3 + 20*x = 0.
-2/7, 0, 1, 6
Determine k, given that 5*k**2 - 3045*k = 0.
0, 609
Factor -2*z**3/3 - 230*z**2/3 - 76*z.
-2*z*(z + 1)*(z + 114)/3
Factor 2*o**2 + 768*o + 3040.
2*(o + 4)*(o + 380)
Factor 2*h**3/7 + 2*h**2 - 14*h - 110/7.
2*(h - 5)*(h + 1)*(h + 11)/7
Factor 2*k**2/11 + 34*k/11.
2*k*(k + 17)/11
Suppose 2*g**3/7 + 1006*g**2/7 + 18000*g - 18144 = 0. Calculate g.
-252, 1
Suppose -4*o**2 + 668*o - 7440 = 0. What is o?
12, 155
Factor 2*u**5/11 + 1090*u**4/11 + 6486*u**3/11 + 882*u**2.
2*u**2*(u + 3)**2*(u + 539)/11
Solve 4*b**4 - 88*b**3 - 108*b**2 + 352*b + 368 = 0.
-2, -1, 2, 23
Find o such that -3*o**2 - 261*o + 264 = 0.
-88, 1
Factor -2*k**5/9 + 8*k**3/3 + 32*k**2/9.
-2*k**2*(k - 4)*(k + 2)**2/9
Solve 2*a**3/7 - 26*a**2/7 + 44*a/7 = 0.
0, 2, 11
Suppose -d**2/3 + 91*d = 0. What is d?
0, 273
Find k, given that -4*k**3 + 200*k**2 - 3268*k + 17328 = 0.
12, 19
Suppose s**2 - 26*s + 169 = 0. What is s?
13
Determine s so that 5*s**3 - 16*s**2 - 87*s + 18 = 0.
-3, 1/5, 6
Let -4*o**4 + 12*o**3 + 64*o**2 + 48*o = 0. Calculate o.
-2, -1, 0, 6
Suppose -22*l**3 + 45*l**2/2 - l/2 = 0. Calculate l.
0, 1/44, 1
Let -3*r**3/2 - 363*r**2/2 + 735*r/2 - 369/2 = 0. Calculate r.
-123, 1
Factor 5*d**3 + 4035*d**2 + 1085415*d + 97325545.
5*(d + 269)**3
Suppose -2*u**4/17 - 30*u**3/17 + 1026*u**2/17 - 1954*u/17 + 960/17 = 0. What is u?
-32, 1, 15
Determine s so that s**5 - 20*s**4 - 9*s**3 + 176*s**2 + 92*s - 240 = 0.
-2, 1, 3, 20
Factor 2*w**3/19 - 5400*w**2/19 - 5402*w/19.
2*w*(w - 2701)*(w + 1)/19
Solve 2*q**3/17 - 200*q**2/17 + 194*q/17 + 396/17 = 0 for q.
-1, 2, 99
Factor 2*j**4/3 + 10*j**3/3 + 2*j**2 - 6*j.
2*j*(j - 1)*(j + 3)**2/3
Factor 5*w**5 + 75*w**4 + 395*w**3 + 825*w**2 + 500*w.
5*w*(w + 1)*(w + 4)*(w + 5)**2
Factor 5*s**4/4 - 5*s**3/2 - 675*s**2 + 9250*s - 35000.
5*(s - 10)**3*(s + 28)/4
Determine j so that -2*j**3 - 46*j**2 + 2914*j + 74958 = 0.
-31, 39
What is s in -4*s**4/5 + 432*s**3/5 + 452*s**2 = 0?
-5, 0, 113
Suppose -95*d**2 - 11410*d - 1200 = 0. What is d?
-120, -2/19
Factor 3*z**2 + 501*z.
3*z*(z + 167)
What is r in 2*r**4/13 + 2*r**3 = 0?
-13, 0
Factor x**4/3 + 55*x**3/3 + 102*x**2 + 596*x/3 + 392/3.
(x + 2)**3*(x + 49)/3
Factor 28*z**2 + 372*z + 104.
4*(z + 13)*(7*z + 2)
What is x in -3*x**3 + 651*x**2/4 - 4455*x/2 + 2187/4 = 0?
1/4, 27
Solve -h**3 + 22*h**2 - 121*h = 0 for h.
0, 11
Factor -2*l**3 + 42*l**2 - 36*l - 80.
-2*(l - 20)*(l - 2)*(l + 1)
Solve 2*r**2 + 2*r - 760 = 0.
-20, 19
Determine k so that 35*k**5 - 185*k**4 - 1350*k**3 + 1100*k**2 + 4840*k - 1440 = 0.
-4, -2, 2/7, 2, 9
Factor -5*x**3 + 5*x**2 + 130*x + 120.
-5*(x - 6)*(x + 1)*(x + 4)
Find t such that -5*t**2 - 1730*t - 149645 = 0.
-173
Solve 6*j**3 + 3*j**2/2 - 6*j - 3/2 = 0.
-1, -1/4, 1
Factor -n**3/3 - 176*n**2 + 1591*n/3 - 354.
-(n - 2)*(n - 1)*(n + 531)/3
Factor -28*b**3 - 316*b**2 - 872*b - 224.
-4*(b + 4)*(b + 7)*(7*b + 2)
Factor -3*a**5 + 93*a**4 - 477*a**3 + 675*a**2.
-3*a**2*(a - 25)*(a - 3)**2
Factor -f**2 + 28*f - 27.
-(f - 27)*(f - 1)
Find s such that 3993*s**3 - 14157*s**2 + 16731*s - 6591 = 0.
13/11
Factor -2*s**2/5 - 2448*s/5 + 490.
-2*(s - 1)*(s + 1225)/5
Determine g, given that -4*g**4 + 200*g**3 - 384*g**2 = 0.
0, 2, 48
Factor 5*x**4 + 95*x**3 + 325*x**2 + 385*x + 150.
5*(x + 1)**2*(x + 2)*(x + 15)
Solve 4*j**5 - 100*j**4 - 396*j**3 + 1748*j**2 - 1928*j + 672 = 0.
-6, 1, 28
Find d such that 18*d**5 - 984*d**4 + 1568*d**3 + 1188*d**2 - 1170*d + 212 = 0.
-1, 1/3, 2, 53
Let -116*l**5/3 + 298*l**4/3 + 212*l**3/3 - 190*l**2/3 + 4*l = 0. Calculate l.
-1, 0, 2/29, 1/2, 3
Suppose -3*r**4/5 + 441*r**3/5 + 1341*r**2/5 + 1347*r/5 + 90 = 0. What is r?
-1, 150
Find r, given that -3*r**2 + 237*r - 234 = 0.
1, 78
Let -i**3/3 + 3*i**2 - 8*i + 20/3 = 0. What is i?
2, 5
Find u such that 2*u**2/13 - 6088*u/13 + 4632968/13 = 0.
1522
Factor -2*f**2/13 - 150*f/13 - 1800/13.
-2*(f + 15)*(f + 60)/13
Solve 8*c**2 + 68*c = 0.
-17/2, 0
Factor 10*v**3 + 92*v**2 + 18*v.
2*v*(v + 9)*(5*v + 1)
Suppose 17*b**2 + 25*b/4 + 1/2 = 0. What is b?
-1/4, -2/17
Factor -10*h**3 - 2325*h**2 + 1165*h.
-5*h*(h + 233)*(2*h - 1)
Find l such that 2*l**5/19 - 258*l**4/19 + 4800*l**3/19 + 228928*l**2/19 + 75264*l - 87552 = 0.
-12, 1, 76
Solve 3*k**3/2 - 35*k**2/8 + 21*k/8 + 1/4 = 0 for k.
-1/12, 1, 2
Let -t**3 - t**2 + 10*t - 8 = 0. What is t?
-4, 1, 2
Solve l**5 - 8*l**4 - 38*l**3 + 52*l**2 + 37*l - 44 = 0 for l.
-4, -1, 1, 11
Factor -4*w**4 - 192*w**3 + 1028*w**2 - 1680*w + 848.
-4*(w - 2)**2*(w - 1)*(w + 53)
Suppose 4*o**4/7 - 92*o**3/7 + 452*o**2/7 - 772*o/7 + 408/7 = 0. What is o?
1, 2, 3, 17
Factor h**4/4 - 371*h**3 + 183768*h**2 - 30504500*h + 60276892.
(h - 494)**3*(h - 2)/4
Let -14641*w**2 - 4840*w - 400 = 0. Calculate w.
-20/121
Solve -4*q**5 - 40*q**4 - 36*q**3 + 256*q**2 + 208*q - 384 = 0 for q.
-8, -3, -2, 1, 2
Determine n so that 4*n**2 + 96*n + 176 = 0.
-22, -2
Determine u so that 2*u**2 - 1999*u/2 - 250 = 0.
-1/4, 500
Factor 2*q**2/3 + 60*q + 1350.
2*(q + 45)**2/3
Factor 3*k**4/2 + 117*k**3/2 + 1683*k**2/2 + 10527*k/2 + 11979.
3*(k + 6)*(k + 11)**3/2
Determine p so that -6*p**3 - 308*p**2 + 534*p + 212 = 0.
-53, -1/3, 2
Find z, given that -z**3 + 8839*z**2 - 19536399*z + 19527561 = 0.
1, 4419
Suppose -3*z**3/7 + 264*z**2/7 - 5808*z/7 = 0. Calculate z.
0, 44
Factor -5*v**2 + 20890*v - 20885.
-5*(v - 4177)*(v - 1)
Determine i, given that -i**5/7 + 503*i**4/7 - 61984*i**3/7 - 318520*i**2/7 - 514096*i/7 - 258064/7 = 0.
-2, -1, 254
Suppose 245*d**5 + 1610*d**4 - 3795*d**3 - 8420*d**2 - 3740*d - 480 = 0. What is d?
-8, -1, -2/7, 3
Suppose 2*q**2 + 56*q = 0. Calculate q.
-28, 0
Factor -h**2/4 - 91*h/2 + 555/4.
-(h - 3)*(h + 185)/4
Factor 4*o**2 - 284*o + 816.
4*(o - 68)*(o - 3)
Factor -4*b**3/3 + 19*b**2/3 - 22*b/3.
-b*(b - 2)*(4*b - 11)/3
Let -y**2/3 + 3314*y/3 - 2745649/3 = 0. Calculate y.
1657
Let -75*n**4/2 + 465*n**3/2 + 3273*n**2/2 - 4365*n/2 + 675 = 0. Calculate n.
-5, 3/5, 10
Factor 4*d**4 - 88*d**3 - 404*d**2 - 312*d.
4*d*(d - 26)*(d + 1)*(d + 3)
Factor -q**4/3 - 2*q**3/3 + 20*q**2/3 - 8*q.
-q*(q - 2)**2*(q + 6)/3
Find q such that 3*q**3/7 - 264*q**2/7 + 507*q/7 + 774/7 = 0.
-1, 3, 86
Let v**5 + 247*v**4/3 - 2329*v**3/3 + 3353*v**2/3 - 1274*v/3 = 0. Calculate v.
-91, 0, 2/3, 1, 7
Factor 2*r**2/9 - 542*r/3 - 1628/9.
2*(r - 814)*(r + 1)/9
Determine x, given that -252*x**5 - 124*x**4 + 1120*x**3 + 480*x**2 - 448*x + 64 = 0.
-2, -1, 2/9, 2/7, 2
Suppose -x**5/7 - 6*x**4/7 + 36*x**3/7 + 86*x**2/7 + 45*x/7 = 0. What is x?
-9, -1, 0, 5
What is i in -3*i**2 - 615*i + 618 = 0?
-206, 1
Suppose -j**3 + 2804*j**2 + j - 2804 = 0. What is j?
-1, 1, 2804
Solve 4*z**5 - 36*z**4 - 56*z**3 + 144*z**2 + 160*z = 0 for z.
-2, -1, 0, 2, 10
Factor 3*i**3 + 6099*i**2 + 3102864*i + 3096768.
3*(i + 1)*(i + 1016)**2
Suppose 2*c**3 + 24*c**2 + 78*c + 56 = 0. Calculate c.
-7, -4, -1
Factor -4*p**3/3 + 14*p**2/3 - 8*p/3 - 8/3.
-2*(p - 2)**2*(2*p + 1)/3
Determine f so that f**4/8 + 3*f**3/8 - 23*f**2/8 + 33*f/8 - 7/4 = 0.
-7, 1, 2
Suppose -p**3 + 13*p**2 + 30*p = 0. Calculate p.
-2, 0, 15
Let 4*d**5 - 17*d**4 - 32*d**3 + 73*d**2 + 64*d - 20 = 0. Calculate d.
-2, -1, 1/4, 2, 5
Let 36*q**2/5 - 872*q/5 + 192/5 = 0. Calculate q.
2/9, 24
Factor 32*q**5/13 - 16*q**4 + 98*q**3/13 - 12*q**2/13.
2*q**2*(q - 6)*(4*q - 1)**2/13
Factor 2*u**4/3 - 52*u**3/3 - 2*u**2/3 + 52*u/3.
2*u*(u - 26)*(u - 1)*(u + 1)/3
Let -2*w**3/11 - 36*w**2/11 + 510*w/11 - 1400/11 = 0. What is w?
-28, 5
Find t, given that -4*t**4/9 - 308*t**3/9 - 1181*t**2/9 - 952*t/9 - 73/3 = 0.
-73, -3, -1/2
Factor 2*m**3/9 - 178*m**2/3 + 3990*m - 35378/9.
2*(m - 133)**2*(m - 1)/9
Suppose -13*i**4 - 127*i**3/2 - 193*i**2/2 - 40*i + 6 = 0. Calculate i.
-2, -1, 3/26
Determine z so that -z**2 - 13958*z - 48706441 = 0.
-6979
Factor 44*v**2 - 596*v + 312.
4*(v - 13)*(11*v - 6)
Factor -3*z**4 - 9*z**3 + 3*z**2 + 9*z.
-3*z*(z - 1)*(z + 1)*(z + 3)
Solve r**2/