actor 2*p**2 - 272*p - 274.
2*(p - 137)*(p + 1)
Suppose 4*s**2 + 20040*s + 25100100 = 0. Calculate s.
-2505
Find m such that -8*m**5/7 - 26*m**4/7 - 22*m**3/7 - 4*m**2/7 = 0.
-2, -1, -1/4, 0
Factor 2*i**3/23 + 48*i**2/23 + 166*i/23 + 120/23.
2*(i + 1)*(i + 3)*(i + 20)/23
Determine c so that -5*c**3 + 10*c**2 + 25*c - 30 = 0.
-2, 1, 3
Factor 22*h**2/7 - 570*h/7 - 52/7.
2*(h - 26)*(11*h + 1)/7
Let -2*r**5/5 + 34*r**4/5 - 4*r**3 - 40*r**2 + 112*r/5 + 256/5 = 0. Calculate r.
-2, -1, 2, 16
Factor -2*u**3/11 - 2810*u**2/11 - 985606*u/11 + 988418/11.
-2*(u - 1)*(u + 703)**2/11
Factor -15*f**2/2 - 5526*f + 2211/2.
-3*(f + 737)*(5*f - 1)/2
Let -l**3/9 + 4*l**2/9 - l/3 = 0. Calculate l.
0, 1, 3
Factor -k**5/3 - k**4/3.
-k**4*(k + 1)/3
Factor -6*f**2/5 + 162*f/5 - 216.
-6*(f - 15)*(f - 12)/5
Let -28*b**2/5 - 3068*b/5 + 264 = 0. What is b?
-110, 3/7
Suppose 12*t**5 - 80*t**4 + 140*t**3 - 40*t**2 - 32*t = 0. Calculate t.
-1/3, 0, 1, 2, 4
Find p such that -3*p**5/11 - 47*p**4/11 - 105*p**3/11 - 5*p**2/11 + 108*p/11 + 52/11 = 0.
-13, -2, -1, -2/3, 1
Determine q so that -q**2/4 + 11*q/4 - 6 = 0.
3, 8
What is k in 2*k**3 + 4*k**2 - 10*k - 12 = 0?
-3, -1, 2
What is c in 3*c**5 - 9*c**4 - 63*c**3 + 141*c**2 + 360*c - 432 = 0?
-3, 1, 4
Suppose -5*q**4 + 3370*q**3 - 6725*q**2 + 3360*q = 0. What is q?
0, 1, 672
Determine i so that i**3 + 27*i**2 + 206*i + 312 = 0.
-13, -12, -2
Find j, given that -j**2 - 228*j = 0.
-228, 0
Determine g so that 2*g**2/5 - 32*g/5 - 72/5 = 0.
-2, 18
Factor -9*m**5 + 29*m**4 - 6*m**3.
-m**3*(m - 3)*(9*m - 2)
Suppose -4*x**2 - 12*x = 0. Calculate x.
-3, 0
What is j in -3*j**4 + 12*j**3 - 15*j**2 + 6*j = 0?
0, 1, 2
Factor -5*a**3 + 3875*a**2 - 752715*a + 748845.
-5*(a - 387)**2*(a - 1)
Suppose -2*t**4 + 167*t**3/3 - 187*t**2 + 66*t + 144 = 0. Calculate t.
-2/3, 3/2, 3, 24
Factor -9*p**3 - 4539*p**2 + 35352*p + 12288.
-3*(p - 8)*(p + 512)*(3*p + 1)
What is c in c**3/3 - 157*c**2 + 624*c - 1868/3 = 0?
2, 467
Let -3*n**3 + 7737*n**2 + 15483*n + 7743 = 0. What is n?
-1, 2581
Factor 2*u**3/13 - 10*u**2/13 + 14*u/13 - 6/13.
2*(u - 3)*(u - 1)**2/13
Factor -n**2/5 - 53*n/5.
-n*(n + 53)/5
Solve 300*i**3 - 308*i**2 + 83*i - 2 = 0.
2/75, 1/2
Factor z**2/3 - z/2 - 5/6.
(z + 1)*(2*z - 5)/6
Factor -n**2/8 - 155*n/4 - 24025/8.
-(n + 155)**2/8
Factor -2*z**2/5 - 124*z/5.
-2*z*(z + 62)/5
Factor -5*t**3 - 160*t**2 - 1425*t - 2250.
-5*(t + 2)*(t + 15)**2
What is d in -3*d**5/4 - 33*d**4/4 - 69*d**3/4 + 105*d**2/4 = 0?
-7, -5, 0, 1
Find z, given that -3*z**2 + 126*z + 1749 = 0.
-11, 53
Factor 35*f**4 + 185*f**3 + 330*f**2 + 220*f + 40.
5*(f + 1)*(f + 2)**2*(7*f + 2)
What is o in o**5/3 + 14*o**4/3 + 43*o**3/3 - 82*o**2/3 - 296*o/3 + 320/3 = 0?
-8, -5, -4, 1, 2
Factor -s**2/8 + 57*s/4 - 106.
-(s - 106)*(s - 8)/8
Factor 3*k**3 + 1221*k**2 + 123624*k - 124848.
3*(k - 1)*(k + 204)**2
Determine c so that -15*c**5 - 27*c**4 + 51*c**3 - 9*c**2 = 0.
-3, 0, 1/5, 1
Factor -2*m**2/3 + 16*m/3 - 14/3.
-2*(m - 7)*(m - 1)/3
Factor 3*c**4 + 57*c**3 + 342*c**2 + 672*c + 384.
3*(c + 1)*(c + 2)*(c + 8)**2
Factor 4*h**2 + 52*h - 120.
4*(h - 2)*(h + 15)
What is k in -15*k**3/4 + 145*k**2/4 + 175*k/2 = 0?
-2, 0, 35/3
Suppose 15*p**5/2 + 33*p**4/2 - 27*p**3 - 66*p**2 - 12*p = 0. What is p?
-2, -1/5, 0, 2
Let -7*c**5/5 - 38*c**4/5 - 4*c**3/5 + 58*c**2/5 + 11*c/5 - 4 = 0. Calculate c.
-5, -1, 4/7, 1
Factor 3*t**5 - 192*t**4 - 1140*t**3 + 216432*t**2 - 513216*t - 67744512.
3*(t - 36)**3*(t + 22)**2
Find m such that m**2/4 + 47*m/4 - 12 = 0.
-48, 1
Solve -54*c**4 - 1728*c**3 - 3312*c**2 - 2176*c - 480 = 0 for c.
-30, -2/3
Factor 4*q**3 - 71*q**2/2 - 89*q/2 - 5.
(q - 10)*(q + 1)*(8*q + 1)/2
Let 54*v**3/7 + 3*v**2 = 0. Calculate v.
-7/18, 0
Solve -10*u**2/3 - 334*u/3 - 44 = 0.
-33, -2/5
Factor -z**3 - 30*z**2 - 57*z - 28.
-(z + 1)**2*(z + 28)
Factor -5*k**3/3 - 145*k**2/3 + 325*k/3 + 155.
-5*(k - 3)*(k + 1)*(k + 31)/3
Factor -i**2/5 - 7*i/5 + 8/5.
-(i - 1)*(i + 8)/5
Factor z**2 - 694*z + 120409.
(z - 347)**2
Let -2*y**5/5 + 6*y**4/5 + 12*y**3/5 - 16*y**2/5 = 0. Calculate y.
-2, 0, 1, 4
Find h such that 4*h**5 + 108*h**4 + 552*h**3 - 2344*h**2 + 2580*h - 900 = 0.
-15, 1
Factor 2*r**5/3 + 170*r**4/3 + 1500*r**3 + 9000*r**2 - 90000*r.
2*r*(r - 5)*(r + 30)**3/3
Determine n, given that 2*n**3 - 10*n**2 - 28*n = 0.
-2, 0, 7
Factor -2*q**3 + 98*q**2 - 1408*q + 4840.
-2*(q - 22)**2*(q - 5)
Factor -2*b**3 - 90*b**2 - 174*b - 86.
-2*(b + 1)**2*(b + 43)
Factor y**5/4 + 347*y**4/4 + 39663*y**3/4 + 1437345*y**2/4 - 1601613*y.
y*(y - 4)*(y + 117)**3/4
Factor -100*j**3 + 15*j**2.
-5*j**2*(20*j - 3)
Factor 4*v**2/7 + 24*v/7 - 64/7.
4*(v - 2)*(v + 8)/7
Factor -3*p**2 - 36*p + 84.
-3*(p - 2)*(p + 14)
Factor -w**5 - 212*w**4 - 420*w**3 + 2*w**2 + 421*w + 210.
-(w - 1)*(w + 1)**3*(w + 210)
Factor -12*y**4/5 - 249*y**3/5 + 63*y**2/5.
-3*y**2*(y + 21)*(4*y - 1)/5
Factor -2*q**4/5 - 11384*q**3/5 - 16199432*q**2/5.
-2*q**2*(q + 2846)**2/5
Factor -25*r**3/3 + 40*r**2/3 + 19*r/3 + 2/3.
-(r - 2)*(5*r + 1)**2/3
Factor -5*x**2 - 820*x + 825.
-5*(x - 1)*(x + 165)
Factor -4*n**3 - 16*n**2 + 44*n - 24.
-4*(n - 1)**2*(n + 6)
Factor 5*m**2 - 160*m + 155.
5*(m - 31)*(m - 1)
Factor 3*o**3 + 54*o**2 - 765*o - 13872.
3*(o - 16)*(o + 17)**2
Find k, given that 5*k**5 + 21065*k**4 + 22176170*k**3 - 22218310*k**2 - 22176175*k + 22197245 = 0.
-2107, -1, 1
Solve 4*w**5 + 48*w**4 + 176*w**3 + 64*w**2 - 768*w - 1024 = 0 for w.
-4, -2, 2
Factor 2*d**4/11 - 14*d**3/11 + 32*d**2/11 - 24*d/11.
2*d*(d - 3)*(d - 2)**2/11
Determine y, given that y**5/5 + 48*y**4/5 + 766*y**3/5 + 912*y**2 + 1805*y = 0.
-19, -5, 0
Factor -4*x**2/7 + 16*x/7 + 180/7.
-4*(x - 9)*(x + 5)/7
Find w, given that -3*w**5 - 39*w**4/4 + 123*w**3/4 + 69*w**2/4 - 111*w/4 - 15/2 = 0.
-5, -1, -1/4, 1, 2
Suppose 4*d**4 + 3*d**3 - 4*d**2 - 3*d = 0. Calculate d.
-1, -3/4, 0, 1
Solve 11*u**4/5 + 167*u**3/5 + 184*u**2/5 + 28*u/5 = 0 for u.
-14, -1, -2/11, 0
Factor 2*l**3 - 128*l**2 + 2048*l.
2*l*(l - 32)**2
Solve -i**5/3 - 8*i**4/3 - 7*i**3 - 6*i**2 = 0.
-3, -2, 0
Suppose -2*v**5 + 564*v**4 - 40318*v**3 + 77836*v**2 + 40320*v - 78400 = 0. Calculate v.
-1, 1, 2, 140
Factor -5*a**2 - 330*a - 4320.
-5*(a + 18)*(a + 48)
Determine u, given that u**2/6 + 593*u/6 = 0.
-593, 0
Suppose 3*o**4 - 18*o**3 + 39*o**2 - 36*o + 12 = 0. Calculate o.
1, 2
Factor 3*n**3 - 22*n**2 - 503*n + 170.
(n - 17)*(n + 10)*(3*n - 1)
Determine f so that 2*f**2/5 + 3356*f/5 = 0.
-1678, 0
Let 4*h**5 - 12*h**4 - 164*h**3 + 348*h**2 + 160*h - 336 = 0. Calculate h.
-6, -1, 1, 2, 7
Factor -f**4 + 56*f**3 + 116*f**2.
-f**2*(f - 58)*(f + 2)
Let -5*m**3 + 425*m**2 + 1760*m + 1780 = 0. What is m?
-2, 89
Factor r**2/3 + 58*r/3 - 59/3.
(r - 1)*(r + 59)/3
Solve 2*w**4 + 290*w**3 + 13818*w**2 + 206486*w - 470596 = 0.
-49, 2
Solve 2*d**2/13 + 1234*d/13 + 1232/13 = 0.
-616, -1
Find a such that 3*a**5/4 - 180*a**4 + 43197*a**3/4 + 180*a**2 - 10800*a = 0.
-1, 0, 1, 120
Suppose -6*y**5 + 8*y**4 + 2*y**3 - 4*y**2 = 0. What is y?
-2/3, 0, 1
Solve 20*t**3 - 115*t**2 + 130*t + 40 = 0 for t.
-1/4, 2, 4
Factor -25*l**4 - 90*l**3 + 40*l**2.
-5*l**2*(l + 4)*(5*l - 2)
Factor -5*g**3 - 315*g**2.
-5*g**2*(g + 63)
Factor 2*n**2/3 + 394*n/3 - 132.
2*(n - 1)*(n + 198)/3
What is q in q**2/5 - 72*q/5 + 67 = 0?
5, 67
Suppose 2*j**2 - 2308*j + 665858 = 0. Calculate j.
577
Let -2*c**4 - 1064*c**3 - 212268*c**2 - 18821096*c - 625801442 = 0. Calculate c.
-133
Factor 8*t**3 - 96*t**2 + 90*t - 22.
2*(t - 11)*(2*t - 1)**2
What is r in r**2/4 + 546*r - 2185/4 = 0?
-2185, 1
Suppose -5*y**2 + 260*y + 2400 = 0. Calculate y.
-8, 60
Factor -l**3/3 - 5*l**2 + 32*l - 80/3.
-(l - 4)*(l - 1)*(l + 20)/3
Suppose -665*w**4 - 440*w**3 + 4205*w**2 - 1360*w + 60 = 0. Calculate w.
-3, 1/19, 2/7, 2
Find f such that -140*f**5 - 4665*f**4 - 41760*f**3 - 47315*f**2 + 1440*f + 11520 = 0.
-16, -1, -3/4, 3/7
Find w, given that 3*w**4 + 12*w**3 - 48*w**2 - 48*w + 144 = 0.
-6, -2, 2
Determine c, given that 35*c**4 - 165*c**3 - 925*c**2 + 4125*c + 1250 = 0.
-5, -2/7, 5
Factor -16*v**2/3 - 428*v - 320/3.
-4*(v + 80)*(4*v + 1)/3
Factor y**4 + 9*y**3.
y**3*(y + 9)
Solve -d**2/3 - 2*d + 91/3 = 0.
-13, 7
Let 4*i**4 + 170*i**3 + 74*i**2 - 416*i + 168 = 0. Calculate i.
-42, -2, 1/2, 1
Factor c**5/6 + 4*c**4/3 + 13*c**3/6 + c**2.
c**2*(c + 1)**2*(c + 6)/6
Determine m so that 2*m*