- 290*a**2 + 285*a + 360 = 0. What is a?
-8, -3, -1, 1
Factor o**3 - 467*o**2 + 931*o - 465.
(o - 465)*(o - 1)**2
Factor -39*s**4 - 435*s**3/4 - 369*s**2/4 - 57*s/4 + 33/4.
-3*(s + 1)**3*(52*s - 11)/4
What is d in 2*d**2/9 + 42656*d/9 + 227441792/9 = 0?
-10664
What is v in 2*v**2/11 - 54*v/11 - 20648/11 = 0?
-89, 116
Determine g, given that g**5/7 + 16*g**4/7 - 1768*g**3/7 + 24992*g**2/7 - 79344*g/7 + 10368 = 0.
-56, 2, 18
Factor -5*k**2 + 18610*k - 351785.
-5*(k - 3703)*(k - 19)
Solve 280*a**4 + 1685*a**3 - 10330*a**2 + 8215*a + 150 = 0.
-10, -1/56, 1, 3
Factor 9*c**4 + 532*c**3 + 8627*c**2 + 22120*c + 2352.
(c + 3)*(c + 28)**2*(9*c + 1)
Determine i, given that 7301384*i**4 - 117160868*i**3 + 5424822*i**2 - 83835*i + 432 = 0.
3/194, 16
Let -i**2 - 12988*i - 12987 = 0. What is i?
-12987, -1
Determine l so that -2*l**4/11 + 4250*l**3/11 + 34114*l**2/11 + 29862*l/11 = 0.
-7, -1, 0, 2133
Suppose -3*l**2 + 7354*l - 9800 = 0. Calculate l.
4/3, 2450
Find o, given that -69*o**5 + 12843*o**4 - 611082*o**3 + 1247520*o**2 - 152352*o = 0.
0, 3/23, 2, 92
Determine h, given that -8*h**5 + 28092*h**4 - 24485088*h**3 - 309280480*h**2 - 1042652928*h - 447068736 = 0.
-6, -1/2, 1762
Factor 4*o**2 + 79096*o + 391011076.
4*(o + 9887)**2
Determine a so that 18*a**2 + 147*a - 165 = 0.
-55/6, 1
Solve -2*z**3/7 + 75788*z**2/7 - 102546574*z - 410359544 = 0.
-4, 18949
Factor -b**4 + 487*b**3 + 1468*b**2 + 980*b.
-b*(b - 490)*(b + 1)*(b + 2)
Solve -2*t**2/9 - 48292*t/9 = 0 for t.
-24146, 0
Suppose 2191*c**4/4 + 19721*c**3/4 + 59175*c**2/4 + 59211*c/4 + 27/2 = 0. What is c?
-3, -2/2191
Determine k, given that 3*k**3/2 - 3023955*k**2/2 + 762023808189*k/2 + 762026832147/2 = 0.
-1, 503993
Suppose -2*d**5/5 - 20*d**4 - 254*d**3 - 196*d**2 + 2352*d/5 = 0. What is d?
-28, -21, -2, 0, 1
Suppose 31684*t**3 - 40014044*t**2 - 3596960*t - 80832 = 0. Calculate t.
-4/89, 1263
Solve -3*v**3 - 44061*v**2 - 161847048*v - 485144676 = 0 for v.
-7342, -3
Suppose -3*z**2 + 56310*z + 56313 = 0. Calculate z.
-1, 18771
Factor -2*a**3/3 - 38*a**2 - 468*a + 1520/3.
-2*(a - 1)*(a + 20)*(a + 38)/3
Suppose 2*x**2/3 - 14554*x/3 = 0. What is x?
0, 7277
Factor 2*y**4/7 + 282454*y**3/7 - 847374*y**2/7 + 121054*y - 282460/7.
2*(y - 1)**3*(y + 141230)/7
Factor 3*q**2/4 - 178923*q/2.
3*q*(q - 119282)/4
Determine h, given that 2*h**4 - 1965*h**3 + 26236*h**2 - 70767*h + 29070 = 0.
1/2, 3, 10, 969
Solve 2*g**4 - 552*g**3 + 8996*g**2 - 49560*g + 90650 = 0 for g.
5, 7, 259
Factor -5*s**2 - 2455*s + 2460.
-5*(s - 1)*(s + 492)
What is v in v**2 - 1648*v - 3300 = 0?
-2, 1650
Find b, given that 2*b**2/3 - 476*b - 1430/3 = 0.
-1, 715
Solve n**5/9 + 2*n**4/3 - 575*n**3/9 + 160*n**2 + 8404*n/9 + 2128/3 = 0 for n.
-28, -2, -1, 6, 19
Suppose y**4/2 + 2009*y**3/2 - 8060*y**2 + 16136*y = 0. Calculate y.
-2017, 0, 4
What is m in -1976*m**5 + m**4 + 17784*m**3 - 7913*m**2 - 23708*m + 12 = 0?
-3, -1, 1/1976, 2
Factor -k**3/5 - 96*k**2/5 + 495*k + 60750.
-(k - 54)*(k + 75)**2/5
What is p in 16*p**5 + 1116064*p**4 + 3348052*p**3 + 278956*p**2 - 3348032*p + 1116016 = 0?
-69751, -2, 1/2
Determine f, given that f**3/8 - 1509*f**2/8 + 2062*f - 6741/2 = 0.
2, 9, 1498
Let -2*w**3/11 + 39824*w**2/11 - 18025790*w + 36037100 = 0. Calculate w.
2, 9955
Factor -w**3/6 - 953*w**2/2 - 340340*w + 1022450/3.
-(w - 1)*(w + 1430)**2/6
What is b in b**4/5 + 13*b**3 + 1296*b**2/5 + 7504*b/5 + 6272/5 = 0?
-28, -8, -1
Determine g so that 46*g**4 + 548*g**3 - 6166*g**2 + 532*g = 0.
-19, 0, 2/23, 7
Factor x**2/5 + 479*x/5 + 9618/5.
(x + 21)*(x + 458)/5
Factor 4*y**2 + 167004*y + 834920.
4*(y + 5)*(y + 41746)
Suppose 5*x**4/6 + 433*x**3/6 + 8101*x**2/6 + 41735*x/6 - 3003 = 0. Calculate x.
-63, -13, -11, 2/5
Suppose p**2/2 - 209943*p/2 - 104972 = 0. Calculate p.
-1, 209944
Factor -3*i**2 + 180*i.
-3*i*(i - 60)
Solve -1184*t**5/9 - 62096*t**4/9 + 11554*t**3/3 - 5614*t**2/9 + 212*t/9 = 0.
-53, 0, 2/37, 1/4
Solve -a**2 - 886*a + 887 = 0.
-887, 1
Suppose 2*v**3 - 27580*v**2 + 192982*v - 275660 = 0. What is v?
2, 5, 13783
Let -3*k**3/7 - 429*k**2/7 - 366*k/7 + 8520/7 = 0. What is k?
-142, -5, 4
Find d such that -5*d**4 - 39635*d**3 + 1273440*d**2 = 0.
-7959, 0, 32
Factor -5*v**3/4 + 1847*v**2/4 - 4905*v/2 - 1638.
-(v - 364)*(v - 6)*(5*v + 3)/4
Factor -o**3 - 3025*o**2 + 21218*o - 18192.
-(o - 6)*(o - 1)*(o + 3032)
Solve -2*p**3/3 - 113932*p**2/3 + 151920*p = 0.
-56970, 0, 4
Determine i so that -i**4/9 + 950*i**3/9 - 225625*i**2/9 = 0.
0, 475
Factor f**3/6 - 13162*f**2/3 - 52654*f/3 - 17552.
(f - 26328)*(f + 2)**2/6
Factor -4*f**3 + 185400*f**2 - 2147766192*f - 12893272416.
-4*(f - 23178)**2*(f + 6)
Determine s, given that 125*s**4 + 2370*s**3 - 37720*s**2 - 38370*s + 1595 = 0.
-29, -1, 1/25, 11
Factor -v**3/2 + 47*v**2 - 1054*v - 2300.
-(v - 50)*(v - 46)*(v + 2)/2
Let -h**3/9 - 8849*h**2/9 - 26534*h/9 + 35384/9 = 0. What is h?
-8846, -4, 1
Let -20*p**3 + 134255*p**2 + 302165*p + 67150 = 0. Calculate p.
-2, -1/4, 6715
Factor 2*n**2/23 + 2050*n/23 + 2048/23.
2*(n + 1)*(n + 1024)/23
Factor 2*x**3/9 + 6328*x**2/3 + 14984654*x/3 - 451440020/9.
2*(x - 10)*(x + 4751)**2/9
Suppose 6*f**3/7 + 282*f**2/7 + 78*f + 270/7 = 0. What is f?
-45, -1
Factor 3*u**2 + 176754*u + 2603498043.
3*(u + 29459)**2
Factor 2*g**3 - 343112*g**2 + 14715730568*g.
2*g*(g - 85778)**2
Factor -3*j**2 + 21306*j + 277485.
-3*(j - 7115)*(j + 13)
Solve 5*r**4 + 870*r**3 + 5845*r**2 - 180*r - 30060 = 0 for r.
-167, -6, -3, 2
Find u, given that -4*u**4/5 + 524*u**3/5 - 4452*u**2/5 + 7348*u/5 - 3416/5 = 0.
1, 7, 122
Suppose -4*s**2 + 4910560*s - 1507099969600 = 0. Calculate s.
613820
What is b in -5*b**4 - 183*b**3 + 274*b**2 + 300*b - 152 = 0?
-38, -1, 2/5, 2
Factor -2*l**3/5 - 88516*l**2/5 - 1061976*l/5 - 3185712/5.
-2*(l + 6)**2*(l + 44246)/5
What is r in -2*r**4 + 236*r**3 + 1232*r**2 - 236*r - 1230 = 0?
-5, -1, 1, 123
Solve -c**4 + 123*c**3 - 900*c**2 - 2300*c = 0 for c.
-2, 0, 10, 115
Determine o so that -o**4/3 + 160*o**3/3 - 1223*o**2/3 + 1064*o/3 = 0.
0, 1, 7, 152
Factor -5*u**2/4 + 16523*u/4 - 2478.
-(u - 3304)*(5*u - 3)/4
Let 6*z**3/5 - 822*z**2/5 + 5376*z + 17640 = 0. Calculate z.
-3, 70
Suppose -29*z**4 + 3585*z**3 + 5029*z**2 - 3585*z - 5000 = 0. What is z?
-40/29, -1, 1, 125
Determine o so that o**2 + 9728*o - 29193 = 0.
-9731, 3
Suppose -4*r**3 + 12888*r**2 + 12892*r = 0. Calculate r.
-1, 0, 3223
Let 31*t**3/9 - 1288*t**2 - 12373*t/9 - 250/3 = 0. Calculate t.
-1, -2/31, 375
Determine t, given that -6*t**5/5 - 17618*t**4/5 - 12953614*t**3/5 - 30140982*t**2/5 - 8608356*t/5 = 0.
-1467, -2, -1/3, 0
Factor -9075*i**3 + 244530*i**2 - 225108*i + 52728.
-3*(i - 26)*(55*i - 26)**2
Let 2*c**2/3 - 946*c/3 - 38836/3 = 0. What is c?
-38, 511
Factor -2*g**2/7 + 57052*g/7 - 406866338/7.
-2*(g - 14263)**2/7
Find h such that 2*h**4 + 49*h**3 - 266*h**2 - 145*h = 0.
-29, -1/2, 0, 5
Let 3*w**2 - 180*w + 2112 = 0. Calculate w.
16, 44
Suppose 2*i**2/9 + 1654*i/9 + 2740/3 = 0. Calculate i.
-822, -5
Factor j**2/4 - 487*j/4.
j*(j - 487)/4
Find s, given that -2*s**3/5 + 464*s**2/5 - 6912*s/5 = 0.
0, 16, 216
Suppose -x**3 - 1874*x**2 - 3745*x - 1872 = 0. Calculate x.
-1872, -1
Determine x, given that -2*x**2/3 - 3926*x/3 + 7876 = 0.
-1969, 6
Factor 4*s**2 - 45844*s - 91704.
4*(s - 11463)*(s + 2)
Factor -2*l**4 + 74*l**3 - 762*l**2 + 1054*l + 5780.
-2*(l - 17)**2*(l - 5)*(l + 2)
Factor -36*b**3 + 122880*b**2 - 163792*b + 54592.
-4*(b - 3412)*(3*b - 2)**2
What is v in -2*v**4 + 228174*v**3 - 228162*v**2 - 1140854*v - 684516 = 0?
-1, 3, 114086
What is w in 2*w**5/9 - 82*w**4/9 + 716*w**3/9 - 556*w**2/9 - 718*w/9 + 638/9 = 0?
-1, 1, 11, 29
Factor -d**3/5 + 42*d**2/5 - 81*d.
-d*(d - 27)*(d - 15)/5
Solve 2*r**4/19 + 8*r**3/19 - 230*r**2/19 - 1100*r/19 = 0.
-10, -5, 0, 11
Suppose 2*q**4 - 66*q**3 + 520*q**2 = 0. What is q?
0, 13, 20
Factor -16*b**2 + 55810*b - 6976.
-2*(b - 3488)*(8*b - 1)
Factor -2*d**3/5 - 52992*d**2/5 - 351389658*d/5 - 4909074268/5.
-2*(d + 14)*(d + 13241)**2/5
Factor -5*o**5 - 200*o**4 - 1360*o**3 - 2560*o**2.
-5*o**2*(o + 4)**2*(o + 32)
Factor 2*m**3 - 40998*m**2 - 246042*m - 369090.
2*(m - 20505)*(m + 3)**2
Determine l, given that 81*l**4/5 + 7565157*l**3/5 + 15130098*l**2/5 + 10086684*l/5 + 448296 = 0.
-93395, -2/3
Factor 4*u**2/7 + 1928*u/7 + 7648/7.
4*(u + 4)*(u + 478)/7
Factor -5*g*