 24*k**2 + 6*k = 0.
-2/5, 0, 1
Determine r, given that -45*r**5/2 + 243*r**4/4 - 131*r**3/4 + 2*r**2 + r = 0.
-2/15, 0, 1/3, 1/2, 2
Suppose -3*c**4 - 21*c**3 - 36*c**2 + 12*c + 48 = 0. Calculate c.
-4, -2, 1
Determine q so that -q**2 + 10*q - 25 = 0.
5
Factor c**5/2 - c**4/2 - c**3/2 + c**2/2.
c**2*(c - 1)**2*(c + 1)/2
Solve -20*g**4 - 35*g**3 + 90*g**2 + 140*g - 40 = 0.
-2, 1/4, 2
Factor 2*m**3/7 - 16*m**2/7 - 62*m/7 - 44/7.
2*(m - 11)*(m + 1)*(m + 2)/7
Determine v so that 6*v**3 - 753*v**2 - 381*v + 378 = 0.
-1, 1/2, 126
Factor -2*w**3/3 - 110*w**2 - 218*w - 326/3.
-2*(w + 1)**2*(w + 163)/3
Let 6*q**5/5 - 16*q**4/5 + 14*q**3/5 - 4*q**2/5 = 0. Calculate q.
0, 2/3, 1
Suppose -4*m**3 + 4940*m**2 - 1522752*m - 1527696 = 0. Calculate m.
-1, 618
Factor 3*v**4/5 - 2*v**3/5 - 9*v**2/5 + 12*v/5 - 4/5.
(v - 1)**2*(v + 2)*(3*v - 2)/5
Let -2*q**3/9 + 2*q**2 + 20*q/9 = 0. What is q?
-1, 0, 10
Let h**3/4 - 5*h**2/4 = 0. Calculate h.
0, 5
Find q, given that -q**5/5 + 4*q**4/5 + 11*q**3/5 + 6*q**2/5 = 0.
-1, 0, 6
Factor 3*t**4/7 + 1212*t**3/7 + 118722*t**2/7 - 745380*t/7 + 1134675/7.
3*(t - 3)**2*(t + 205)**2/7
Solve -2*u**5/3 + 274*u**4/9 - 3940*u**3/9 + 5860*u**2/3 - 8854*u/9 - 5054/9 = 0 for u.
-1/3, 1, 7, 19
Factor -14*d**4 + 5*d**3 + 23*d**2 - 5*d - 9.
-(d - 1)**2*(d + 1)*(14*d + 9)
Find a such that 5*a**2/6 - 22625*a/3 + 102378125/6 = 0.
4525
Factor 2*l**4/5 - 168*l**3/5 + 306*l**2 - 740*l.
2*l*(l - 74)*(l - 5)**2/5
Solve o**4 + 19*o**3 - 112*o**2 + 188*o - 96 = 0.
-24, 1, 2
Factor 5*i**2 + 1500*i + 8820.
5*(i + 6)*(i + 294)
Find s such that 2*s**2/7 - 12780*s/7 + 20416050/7 = 0.
3195
Factor t**5/2 - 5*t**4/2 + t**3 + 4*t**2.
t**2*(t - 4)*(t - 2)*(t + 1)/2
Suppose -a**3/7 + 369*a**2/7 - 45387*a/7 + 1860867/7 = 0. Calculate a.
123
Factor 2*u**2/5 - 164*u/5 + 3362/5.
2*(u - 41)**2/5
Suppose m**3/5 - 43*m**2/5 + 74*m/5 + 328/5 = 0. What is m?
-2, 4, 41
What is k in 5*k**3/2 - 20*k**2 - 325*k/2 = 0?
-5, 0, 13
Suppose -2*c**4 - 2*c**3/3 + 28*c**2/3 + 8*c/3 - 16/3 = 0. What is c?
-2, -1, 2/3, 2
Factor m**4/3 - m**2 + 2*m/3.
m*(m - 1)**2*(m + 2)/3
Factor -s**2/4 + 5*s/4 - 3/2.
-(s - 3)*(s - 2)/4
Factor -f**3 - 57*f**2 - 783*f + 841.
-(f - 1)*(f + 29)**2
Let -9*d**2 + 14*d + 8 = 0. What is d?
-4/9, 2
Factor l**2/10 + 289*l/10 + 144/5.
(l + 1)*(l + 288)/10
Suppose 5*v**4 - 145*v**3 + 1245*v**2 - 2795*v + 1690 = 0. Calculate v.
1, 2, 13
Factor -2*j**2/3 + 10*j/3 + 4.
-2*(j - 6)*(j + 1)/3
Suppose -5*g**3 - 125*g**2 - 795*g - 675 = 0. What is g?
-15, -9, -1
Solve -21*x**2/2 - 15*x/2 = 0 for x.
-5/7, 0
Solve t**4 - 84*t**3 - 262*t**2 + 84*t + 261 = 0.
-3, -1, 1, 87
What is t in 348843*t**2 - 4092*t + 12 = 0?
2/341
Suppose -t**3/3 - 26*t**2/3 - 37*t - 42 = 0. Calculate t.
-21, -3, -2
Solve 4*w**4/7 - 260*w**3/7 - 76*w**2 - 268*w/7 = 0.
-1, 0, 67
Find q such that q**3/7 - 5*q**2 + 368*q/7 - 1216/7 = 0.
8, 19
Factor 3*w**2/2 - 966*w - 1938.
3*(w - 646)*(w + 2)/2
Factor 4*o**3 + 112*o**2 - 364*o + 248.
4*(o - 2)*(o - 1)*(o + 31)
Suppose f**2/2 + 86*f + 3698 = 0. Calculate f.
-86
Factor 4*s**2/15 + 374*s/15 - 188/15.
2*(s + 94)*(2*s - 1)/15
Solve -4*h**5 - 104*h**4 + 220*h**3 - 112*h**2 = 0.
-28, 0, 1
Let 12*z**4 + 4*z**3 - 36*z**2 + 12*z + 8 = 0. What is z?
-2, -1/3, 1
Factor -j**3/4 - 39*j**2/4 + 81*j/4 - 41/4.
-(j - 1)**2*(j + 41)/4
Solve 3*b**3 + 30*b**2 + 36*b - 216 = 0.
-6, 2
Let 3*s**4/2 + 6*s**3 - 18*s**2 - 96*s - 96 = 0. Calculate s.
-4, -2, 4
Solve -4*v**5 - 3672*v**4 + 14728*v**3 - 22112*v**2 + 14748*v - 3688 = 0 for v.
-922, 1
Find z, given that -z**3/6 + 7*z**2/6 + 40*z/3 - 96 = 0.
-9, 8
Factor 20*c**2/11 - 2*c/11.
2*c*(10*c - 1)/11
Determine b, given that 12*b**4/5 - 153*b**3/5 + 519*b**2/5 - 72*b/5 - 756/5 = 0.
-1, 7/4, 6
Factor -3*t**2/4 - 909*t/2 - 906.
-3*(t + 2)*(t + 604)/4
Solve v**2 + 62*v + 177 = 0 for v.
-59, -3
Factor -5*b**2 - 480*b - 475.
-5*(b + 1)*(b + 95)
Factor r**5 - 11*r**4 + 34*r**3 - 14*r**2 - 35*r + 25.
(r - 5)**2*(r - 1)**2*(r + 1)
What is c in 14*c**3 - 76*c**2 - 54*c + 36 = 0?
-1, 3/7, 6
Factor s**2/5 + 4*s/5 - 1.
(s - 1)*(s + 5)/5
Determine n so that 5*n**4 - 6550*n**3 + 2857980*n**2 - 414402730*n - 417267265 = 0.
-1, 437
Solve -10*l**2/7 + 58*l/7 + 12/7 = 0 for l.
-1/5, 6
Factor f**3/5 + 74*f**2/5 + 1369*f/5.
f*(f + 37)**2/5
Factor -3*y**2/5 + 7449*y/5 - 7446/5.
-3*(y - 2482)*(y - 1)/5
Factor i**3/5 - 14*i**2/5 + 49*i/5 - 36/5.
(i - 9)*(i - 4)*(i - 1)/5
Factor 4*u**4 + 4*u**3 - 8*u**2.
4*u**2*(u - 1)*(u + 2)
Factor -45*s**2 + 780*s - 3380.
-5*(3*s - 26)**2
What is c in 10*c**3/9 + 64*c**2/9 - 136*c/9 - 64/9 = 0?
-8, -2/5, 2
What is n in -2*n**3/9 - 10*n**2/9 - 8*n/9 = 0?
-4, -1, 0
Factor 11*v**2/3 + 85*v/3 - 8.
(v + 8)*(11*v - 3)/3
Factor -3*j**4 - 15*j**3 + 99*j**2 - 81*j.
-3*j*(j - 3)*(j - 1)*(j + 9)
Solve c**5 + 6*c**4 + 8*c**3 - 2*c**2 - 9*c - 4 = 0.
-4, -1, 1
Factor g**2/3 - 29*g.
g*(g - 87)/3
Let 2*c**3/11 - 112*c**2/11 + 586*c/11 + 700/11 = 0. What is c?
-1, 7, 50
Determine g, given that 3*g**4 - 10*g**3 + 9*g**2 - 2*g = 0.
0, 1/3, 1, 2
Factor -5*y**3 + 5*y**2 + 1070*y + 2080.
-5*(y - 16)*(y + 2)*(y + 13)
Factor 5*k**4 + 115*k**3 + 315*k**2 + 305*k + 100.
5*(k + 1)**3*(k + 20)
What is z in 25*z**4 + 35*z**3 + 10*z**2 = 0?
-1, -2/5, 0
Find d, given that -2*d**3/9 - 208*d**2/9 - 206*d/9 = 0.
-103, -1, 0
Let -35*w**2 - 5*w/2 = 0. Calculate w.
-1/14, 0
Factor d**5/4 - 7*d**3/4 + 3*d**2/2.
d**2*(d - 2)*(d - 1)*(d + 3)/4
Solve 2*g**2/7 - 134*g/7 + 384/7 = 0.
3, 64
Suppose 8*w**3/7 - 116*w**2/7 + 8*w = 0. Calculate w.
0, 1/2, 14
Factor 2*m**2/11 + 64*m/11 + 504/11.
2*(m + 14)*(m + 18)/11
Suppose 27*h**4 + 180*h**3 + 444*h**2 + 480*h + 192 = 0. Calculate h.
-2, -4/3
Factor 2*c**4 + 200*c**3 + 2208*c**2 + 8576*c + 11264.
2*(c + 4)**3*(c + 88)
Find c such that 4*c**5 + 24*c**4 + 36*c**3 + 16*c**2 = 0.
-4, -1, 0
Determine c so that -c**4 + 362*c**3 - 32397*c**2 - 65884*c - 33124 = 0.
-1, 182
Determine s so that -2*s**5/9 + 788*s**4/9 - 8536*s**3 - 17424*s**2 = 0.
-2, 0, 198
Determine o so that 20*o**4 - 152*o**3 + 276*o**2 - 64*o - 80 = 0.
-2/5, 1, 2, 5
Factor -4*y**5 - 96*y**4 + 100*y**3.
-4*y**3*(y - 1)*(y + 25)
Factor 5*n**4 - 685*n**3 - 2800*n**2 - 2820*n.
5*n*(n - 141)*(n + 2)**2
Find c, given that -16*c**4/3 - 220*c**3/3 + 296*c**2/3 - 20*c = 0.
-15, 0, 1/4, 1
What is f in -4*f**3 - 120*f**2 + 4*f + 120 = 0?
-30, -1, 1
Find j, given that 2*j**2/15 + 38*j/5 - 488/15 = 0.
-61, 4
Factor 5*o**4/2 - 3245*o**3/2 + 3235*o**2.
5*o**2*(o - 647)*(o - 2)/2
Factor t**5/4 + 11*t**4/2 + 10*t**3 - t**2/2 - 41*t/4 - 5.
(t - 1)*(t + 1)**3*(t + 20)/4
Factor a**3 + 12*a**2 - 27*a + 14.
(a - 1)**2*(a + 14)
Determine x, given that 2*x**5 - 24*x**4 + 40*x**3 + 4*x**2 - 42*x + 20 = 0.
-1, 1, 10
Suppose 7*b**3/3 + 100*b**2/3 + 119*b/3 + 26/3 = 0. Calculate b.
-13, -1, -2/7
Factor -26*n**2/15 + 64*n/15 - 8/5.
-2*(n - 2)*(13*n - 6)/15
Factor -4*v**2/3 - 40*v/3 - 32.
-4*(v + 4)*(v + 6)/3
Let -4*t**5/7 - 116*t**4/7 + 372*t**3/7 - 380*t**2/7 + 128*t/7 = 0. Calculate t.
-32, 0, 1
Determine t so that 2*t**2 - 12*t + 16 = 0.
2, 4
What is s in -s**4/2 - 41*s**3/2 - 233*s**2/2 + 245*s/2 + 1275 = 0?
-34, -5, 3
Factor -6*u**5/7 + 10*u**4/7 - 2*u**3/7 - 2*u**2/7.
-2*u**2*(u - 1)**2*(3*u + 1)/7
Factor -2*k**3 - 938*k**2 + 2*k + 938.
-2*(k - 1)*(k + 1)*(k + 469)
Determine c, given that c**3/10 - 58*c**2/5 + 229*c/10 - 57/5 = 0.
1, 114
Factor -l**2/4 + 4*l - 16.
-(l - 8)**2/4
Find m such that -4*m**2 - 32*m + 80 = 0.
-10, 2
Suppose m**3/4 + 45*m**2 + 2700*m + 54000 = 0. Calculate m.
-60
Determine s, given that 6*s**4 + 44*s**3 - 70*s**2 - 316*s - 96 = 0.
-8, -2, -1/3, 3
Let 10*x**5/9 - 4*x**4/9 - 1990*x**3/9 + 4696*x**2/9 - 520*x/3 = 0. What is x?
-15, 0, 2/5, 2, 13
Factor -4332*a**2 - 10260*a - 6075.
-3*(38*a + 45)**2
Solve 7*n**3 - 313*n**2 - 90*n = 0.
-2/7, 0, 45
Find d, given that -d**2 - 213*d + 2230 = 0.
-223, 10
Let -6*g**4/7 - 48*g**3/7 + 108*g**2/7 + 1200*g/7 + 150 = 0. What is g?
-7, -5, -1, 5
Let -a**2 + 75*a - 900 = 0. Calculate a.
15, 60
Let p**3/10 - 189*p**2/10 + 11907*p/10 - 250047/10 = 0. What is p?
63
Suppose 5*i**5 - 10*i**4 - 25*i**3 + 50*i**2 + 20*i - 40 = 0. Calculate i.
-2, -1, 1, 2
Find a, given that a**2/4 - 409*a - 1637/4 = 0.
-1, 1637
Determine a so that 4*a**2 + 544*a - 2240 = 0.
-140, 4
Suppose -4*s**2 + 344*s - 340 = 0. What is s?
1