-3*k*(k + 1)*(k + 2)*(k + 8)
Determine q so that 2*q**2/5 - 26964*q/5 + 90882162/5 = 0.
6741
Solve -3*z**4 + 102*z**2 - 288*z + 189 = 0 for z.
-7, 1, 3
Suppose -8*c**5/5 - 254*c**4/5 + 72*c**3/5 + 254*c**2/5 - 64*c/5 = 0. Calculate c.
-32, -1, 0, 1/4, 1
What is l in -57*l**2 + 246*l - 72 = 0?
6/19, 4
Solve 3*b**4 + 3*b**3 - 6*b**2 = 0 for b.
-2, 0, 1
Factor 8*s**4 - 38*s**3 - 30*s**2 + 86*s + 70.
2*(s - 5)*(s + 1)**2*(4*s - 7)
Factor 4*n**3 + 220*n**2 + 428*n + 212.
4*(n + 1)**2*(n + 53)
Find f such that 230*f**4 + 2295*f**3 - 280*f**2 - 2295*f + 50 = 0.
-10, -1, 1/46, 1
What is c in -4*c**5 - 40*c**4 - 8*c**3 + 256*c**2 + 12*c - 216 = 0?
-9, -3, -1, 1, 2
Solve h**5/2 + 4*h**4 + 25*h**3/2 + 19*h**2 + 14*h + 4 = 0 for h.
-2, -1
Solve -2*s**3 - 344*s**2 - 15130*s - 28900 = 0 for s.
-85, -2
Solve -25*j**5 - 265*j**4 - 735*j**3 - 395*j**2 + 760*j + 660 = 0 for j.
-33/5, -2, -1, 1
Factor 2*y**5 - 24*y**4 + 64*y**3 + 96*y**2 - 288*y.
2*y*(y - 6)**2*(y - 2)*(y + 2)
Factor -3*d**5 - 189*d**4 - 3249*d**3 - 8643*d**2 - 8280*d - 2700.
-3*(d + 1)**3*(d + 30)**2
Determine m so that -5*m**2 + 45*m = 0.
0, 9
Suppose 2*p**5/15 + 32*p**4/5 + 956*p**3/15 + 1144*p**2/5 + 874*p/3 + 120 = 0. What is p?
-36, -5, -1
Factor 9*j**3/2 - 1061*j**2 + 62422*j + 13924.
(j - 118)**2*(9*j + 2)/2
Suppose -2*s**3/3 + 34*s**2 + 2*s/3 - 34 = 0. Calculate s.
-1, 1, 51
Find n such that 15*n**3 + 665*n**2 + 7105*n + 22295 = 0.
-91/3, -7
Factor -108*i**3 + 12*i**2 - i/3.
-i*(18*i - 1)**2/3
Find m, given that 2*m**4 + 4*m**3 - 18*m**2 - 4*m + 16 = 0.
-4, -1, 1, 2
Suppose d**2/3 - 46*d + 1587 = 0. What is d?
69
Factor -2*p**3/5 + 34*p**2/5 - 126*p/5 - 162/5.
-2*(p - 9)**2*(p + 1)/5
Factor -3*t**2/8 - 93*t/2 - 369/8.
-3*(t + 1)*(t + 123)/8
Factor -4*u**4 + 176*u**3 - 504*u**2 + 496*u - 164.
-4*(u - 41)*(u - 1)**3
What is j in j**2/2 + 54*j + 107/2 = 0?
-107, -1
Factor 2*d**4 + 134*d**3 - 136*d**2.
2*d**2*(d - 1)*(d + 68)
Factor -2*g**5/11 + 10*g**4/11 - 6*g**3/11 - 18*g**2/11.
-2*g**2*(g - 3)**2*(g + 1)/11
Find g, given that 3*g**5/5 - 24*g**4/5 + 63*g**3/5 - 42*g**2/5 - 12*g + 72/5 = 0.
-1, 2, 3
Factor z**5 + 70*z**4 - 216*z**3 + 218*z**2 - 73*z.
z*(z - 1)**3*(z + 73)
Let -4*q**2 - 2544*q = 0. What is q?
-636, 0
Factor 3*o**3 - 81*o**2 - 84*o.
3*o*(o - 28)*(o + 1)
Factor 60*j**4 + 357*j**3 - 18*j**2.
3*j**2*(j + 6)*(20*j - 1)
Let 3*n**3 - 330*n**2 = 0. Calculate n.
0, 110
Determine m, given that 5*m**5 + 80*m**4 + 440*m**3 + 850*m**2 - 125*m - 1250 = 0.
-5, -2, 1
Determine a, given that -2*a**5/5 - 166*a**4/5 + 104*a**3 + 64*a**2 - 2048*a/5 + 1376/5 = 0.
-86, -2, 1, 2
Let -4*t**2 + 72*t - 68 = 0. Calculate t.
1, 17
Find t, given that 5*t**2/3 + 125*t/3 - 140 = 0.
-28, 3
Factor -3*k**3 + 6672*k**2 - 3709632*k.
-3*k*(k - 1112)**2
Factor -p**4 - 76*p**3 - 1518*p**2 - 2812*p - 1369.
-(p + 1)**2*(p + 37)**2
Factor -14*z**3 + 26*z**2 + 20*z - 32.
-2*(z - 2)*(z - 1)*(7*z + 8)
Find k, given that -5*k**4 - 38*k**3 - 9*k**2 + 80*k - 28 = 0.
-7, -2, 2/5, 1
Factor -s**3 - 177*s**2 - 1035*s - 1539.
-(s + 3)**2*(s + 171)
Find n such that 3*n**2/4 + 51*n + 819 = 0.
-42, -26
Determine i so that 4*i**4 - 60*i**3 + 308*i**2 - 660*i + 504 = 0.
2, 3, 7
Factor 21*d**2/4 - d/2.
d*(21*d - 2)/4
Solve -2*p**5/7 + 12*p**4/7 - 8*p**3/7 - 12*p**2/7 + 10*p/7 = 0.
-1, 0, 1, 5
Let -4*q**2 + 8*q + 12 = 0. What is q?
-1, 3
Factor -3*l**2 + 369*l + 750.
-3*(l - 125)*(l + 2)
Solve 4*x**5 + 248*x**4 + 232*x**3 - 736*x**2 - 236*x + 488 = 0.
-61, -2, -1, 1
Find l, given that l**5/2 + 17*l**4/2 + 19*l**3/2 - 433*l**2/2 + 440*l - 242 = 0.
-11, 1, 2
Determine w, given that -2*w**5/3 + 434*w**4/3 - 23324*w**3/3 - 24196*w**2/3 + 23326*w/3 + 23762/3 = 0.
-1, 1, 109
Factor f**2 - 120*f.
f*(f - 120)
Factor -3*d**3 + 15*d**2 + 339*d - 351.
-3*(d - 13)*(d - 1)*(d + 9)
Factor 2*d**2 - 3168*d + 1254528.
2*(d - 792)**2
Find w such that -2*w**2/5 - 152*w/5 - 296/5 = 0.
-74, -2
What is g in -3*g**5 - 21*g**4 - 9*g**3 + 177*g**2 + 312*g + 144 = 0?
-4, -1, 3
Factor -3*k**5 - 12*k**4 - 12*k**3 + 6*k**2 + 15*k + 6.
-3*(k - 1)*(k + 1)**3*(k + 2)
Determine q so that 2*q**2/3 - 5416*q/3 + 3666632/3 = 0.
1354
Suppose -4*f**4 - 268*f**3 + 1120*f**2 - 1136*f = 0. What is f?
-71, 0, 2
Factor -4*y**2 - 608*y.
-4*y*(y + 152)
Factor 3*m**3 + 596*m**2 + 1572*m + 784.
(m + 2)*(m + 196)*(3*m + 2)
Factor 4*d**3/3 - 506*d**2/3 + 84*d.
2*d*(d - 126)*(2*d - 1)/3
Factor -2*g**3/5 + 6*g**2/5 + 8*g/5 - 24/5.
-2*(g - 3)*(g - 2)*(g + 2)/5
Let h**2 - 87*h + 410 = 0. Calculate h.
5, 82
Let 4*f**2/7 + 10720*f/7 + 7182400/7 = 0. What is f?
-1340
Factor -h**3 - 25*h**2 + 352*h + 9196.
-(h - 19)*(h + 22)**2
Factor 2*o**2/9 + 26*o/9 + 44/9.
2*(o + 2)*(o + 11)/9
Solve 3*b**2 - 60*b + 108 = 0 for b.
2, 18
Solve 4*j**4 + 24*j**3 - 16*j**2 - 96*j = 0.
-6, -2, 0, 2
Factor 2*v**3 - 1390*v**2 + 242206*v - 240818.
2*(v - 347)**2*(v - 1)
Factor -3*x**2 + 5*x/2 + 17.
-(x + 2)*(6*x - 17)/2
Let b**4/7 - 30*b**3/7 + 193*b**2/7 + 480*b/7 + 256/7 = 0. What is b?
-1, 16
Let -6*s**5 - 39*s**4 - 87*s**3 - 66*s**2 + 12*s + 24 = 0. Calculate s.
-2, -1, 1/2
Let 3*n**3 + 28395*n**2 + 89586225*n + 94214846625 = 0. What is n?
-3155
Factor l**4 - l**3 - 4*l**2 + 4*l.
l*(l - 2)*(l - 1)*(l + 2)
Factor 9*a**3 - 93*a**2 + 30*a.
3*a*(a - 10)*(3*a - 1)
Suppose -3*z**4 + 36*z**3 + 483*z**2 - 36*z - 480 = 0. Calculate z.
-8, -1, 1, 20
Suppose -x**2 + 7*x - 6 = 0. Calculate x.
1, 6
Factor -13*m**2 + 27*m/2 - 1/2.
-(m - 1)*(26*m - 1)/2
Determine m so that m**5/3 - 52*m**4/3 + 16*m**3 + 158*m**2/3 - 257*m/3 + 34 = 0.
-2, 1, 51
Find z, given that -25*z**5 - 20*z**4 + 105*z**3 + 80*z**2 - 20*z = 0.
-2, -1, 0, 1/5, 2
Determine q so that 3*q**4 - 60*q**3 + 105*q**2 + 60*q - 108 = 0.
-1, 1, 2, 18
Solve -3*l**2 - 15933*l = 0.
-5311, 0
Suppose -11*r**2/2 - r/2 + 5 = 0. Calculate r.
-1, 10/11
Factor 4*i**5/5 + 16*i**4/5 + 24*i**3/5 + 16*i**2/5 + 4*i/5.
4*i*(i + 1)**4/5
Solve -3*x**4 - 9*x**3 + 918*x**2 + 5184*x - 23328 = 0.
-12, 3, 18
Suppose 205*r**3 + 617*r**2 + 416*r + 4 = 0. Calculate r.
-2, -1, -2/205
Determine f so that -6*f**3/17 - 5524*f**2/17 - 1273280*f/17 - 846400/17 = 0.
-460, -2/3
What is x in -x**4 + x**3/2 + 10*x**2 + 29*x/2 + 6 = 0?
-3/2, -1, 4
Determine a, given that -4*a**3 + 256*a**2 - 496*a = 0.
0, 2, 62
Solve 5*q**5 + 15*q**4 - 5*q**3 - 35*q**2 + 20 = 0.
-2, -1, 1
Solve 2*g**5 + 36*g**4 - 78*g**3 + 40*g**2 = 0 for g.
-20, 0, 1
Suppose 16*l**5 - 48*l**4 - 44*l**3 + 168*l**2 - 116*l + 24 = 0. What is l?
-2, 1/2, 1, 3
Factor -2*w**4/9 - 296*w**3/3 + 1784*w**2/9.
-2*w**2*(w - 2)*(w + 446)/9
Solve -2*j**2/5 - 44*j/5 - 42/5 = 0.
-21, -1
Solve 2*k**4/7 + 720*k**3/7 + 66216*k**2/7 + 253472*k/7 = 0 for k.
-178, -4, 0
Determine v so that -v**5/2 + 7*v**4/2 + 3*v**3/2 - 19*v**2/2 - 7*v = 0.
-1, 0, 2, 7
Factor y**3/10 + 13*y**2/10 + 24*y/5 + 18/5.
(y + 1)*(y + 6)**2/10
What is k in 5*k**2 - 1135*k + 2250 = 0?
2, 225
Let -3*v**3 - 3*v**2 + 7743*v - 148857 = 0. What is v?
-59, 29
Factor 3*x**3/2 - 12*x**2.
3*x**2*(x - 8)/2
Factor -5*p**3 + 548*p**2 - 325*p - 218.
-(p - 109)*(p - 1)*(5*p + 2)
Find s, given that -s**4 - 18*s**3 + 60*s**2 - 62*s + 21 = 0.
-21, 1
Factor -2*z**3/5 + 18*z**2/5 + 28*z.
-2*z*(z - 14)*(z + 5)/5
Factor -20*n**3 + 6492*n**2 - 10320*n - 5168.
-4*(n - 323)*(n - 2)*(5*n + 2)
Solve -5*j**4 - 30*j**3 - 55*j**2 - 30*j = 0 for j.
-3, -2, -1, 0
Solve -5*t**5 + 100*t**4 + 3115*t**3 + 12490*t**2 - 34700*t + 19000 = 0.
-10, 1, 38
Let -4*z**2 - 26*z + 14 = 0. What is z?
-7, 1/2
Solve 3*q**2/5 - 337*q/5 - 226/5 = 0.
-2/3, 113
Factor 4*u**4 - 32*u**3 + 88*u**2 - 96*u + 36.
4*(u - 3)**2*(u - 1)**2
Factor -20*l**2 - 12475*l + 3120.
-5*(l + 624)*(4*l - 1)
Solve p**2 - 37*p = 0 for p.
0, 37
Suppose s**4/5 + 18*s**3/5 = 0. Calculate s.
-18, 0
Factor 5*v**3 + 55*v**2 - 210*v - 1800.
5*(v - 6)*(v + 5)*(v + 12)
Factor 2*h**3/13 - 6*h/13 - 4/13.
2*(h - 2)*(h + 1)**2/13
Factor 6*u**2 - 116*u - 80.
2*(u - 20)*(3*u + 2)
Factor -j**3 + 13*j**2/3 - 2*j/3 - 8/3.
-(j - 4)*(j - 1)*(3*j + 2)/3
Suppose 2*f**4/15 - 4*f**3/15 - 34*f**2/3 + 652*f/15 - 32 = 0. Calculate f.
-10, 1, 3, 8
Solve o**4/5 + 3281*o**3/5 + 2689597*o**2/5 - 539889*o - 5385762/5 = 0.
-1641, -1, 2
Determine v, given that 9*v**4 - 686*v**3 + 152*v**2 = 0.
0, 2/9, 76
Factor f**2/3 - 24*f.
f*(f - 72)/3
Factor 529*v**5/3 - 161*v**4 - 15*v**3 - v*