0*n**3/19 + 687240*n**2/19 - 3318*n/19 + 4/19 = 0. Calculate n.
-2, 1/415
Find k such that 3*k**5 + 165*k**4 + 3078*k**3 + 20412*k**2 + 17496*k = 0.
-18, -1, 0
Factor -m**2 + 40*m - 76.
-(m - 38)*(m - 2)
Factor -5*s**3 - 95*s**2 - 275*s + 375.
-5*(s - 1)*(s + 5)*(s + 15)
Solve 10*b**2 - 295*b = 0 for b.
0, 59/2
Factor 4*w**5 + 16*w**4 - 56*w**2 - 68*w - 24.
4*(w - 2)*(w + 1)**3*(w + 3)
Factor -2*c**4 - 30*c**3 - 132*c**2 - 232*c - 144.
-2*(c + 2)**3*(c + 9)
Factor 11*g**3/3 - 101*g**2/3 + 106*g/3 - 16/3.
(g - 8)*(g - 1)*(11*g - 2)/3
Let 36*f**2 + 636*f + 2809 = 0. Calculate f.
-53/6
Determine t so that 12*t**5/7 + 3*t**4/7 - 12*t**3 + 51*t**2/7 + 18*t/7 = 0.
-3, -1/4, 0, 1, 2
Factor -2*p**3/3 + 4*p**2/3 + 2*p/3 - 4/3.
-2*(p - 2)*(p - 1)*(p + 1)/3
Factor -4*a**3 + 172*a**2 - 1224*a.
-4*a*(a - 34)*(a - 9)
Solve 2*n**2/11 + 4440*n/11 + 2464200/11 = 0.
-1110
Determine y so that -4*y**2 + 22*y - 10 = 0.
1/2, 5
Let 20*c**4 - 72*c**3 - 332*c**2 + 240*c + 144 = 0. Calculate c.
-3, -2/5, 1, 6
Factor -2*r**2 - 130*r - 252.
-2*(r + 2)*(r + 63)
Factor -7*r**3/4 + 89*r**2/4 + 59*r + 15.
-(r - 15)*(r + 2)*(7*r + 2)/4
What is y in -y**4 - 35*y**3 - 429*y**2 - 2057*y - 2662 = 0?
-11, -2
Factor -2*x**3/13 - 14*x**2/13 - 16*x/13 + 32/13.
-2*(x - 1)*(x + 4)**2/13
Solve -3*n**2/5 - 69*n/5 + 72/5 = 0 for n.
-24, 1
Factor 2*z**3/15 + 34*z**2/15 + 76*z/15 - 112/15.
2*(z - 1)*(z + 4)*(z + 14)/15
Let t**4/4 + t**3/4 - 41*t**2/4 - 105*t/4 = 0. Calculate t.
-5, -3, 0, 7
Factor 3*o**4 - 12*o**3 - 9*o**2 + 42*o - 24.
3*(o - 4)*(o - 1)**2*(o + 2)
Factor -8*s**5/5 + 42*s**4/5 - 72*s**3/5 + 8*s**2.
-2*s**2*(s - 2)**2*(4*s - 5)/5
Determine y so that 55*y**4 + 70*y**3 - 795*y**2 + 1070*y - 400 = 0.
-5, 8/11, 1, 2
Solve -8*g**4/5 + 46*g**3/5 + 60*g**2 + 392*g/5 + 16 = 0 for g.
-2, -1/4, 10
Factor -2*l**3 + 34*l**2 - 192*l + 360.
-2*(l - 6)**2*(l - 5)
Factor 28*f**2 + 328*f - 96.
4*(f + 12)*(7*f - 2)
Factor 2*w**3/3 + 100*w**2/3 - 314*w/3 + 212/3.
2*(w - 2)*(w - 1)*(w + 53)/3
Factor 2*o**5 - 12*o**4 + 10*o**3.
2*o**3*(o - 5)*(o - 1)
Let -3*g**3/7 - 909*g**2/7 - 5373*g/7 - 8019/7 = 0. What is g?
-297, -3
Factor 3*j**3 - 306*j**2 + 1185*j - 882.
3*(j - 98)*(j - 3)*(j - 1)
Factor 12*u**2 + 2432*u - 812.
4*(u + 203)*(3*u - 1)
Suppose -2*u**2/17 - 240*u/17 + 488/17 = 0. Calculate u.
-122, 2
Factor -3*p**4 + 15*p**3 + 21*p**2 - 15*p - 18.
-3*(p - 6)*(p - 1)*(p + 1)**2
Let -3*t**4 + 162*t**3 - 459*t**2 - 12*t + 612 = 0. What is t?
-1, 2, 51
Solve 4*k**5/3 + 4*k**4 - 8*k**3/3 - 8*k**2 + 4*k/3 + 4 = 0.
-3, -1, 1
Factor -2*g**3 - 30*g**2 + 452*g + 480.
-2*(g - 10)*(g + 1)*(g + 24)
Solve 2*u**3 - 28*u**2 + 98*u = 0.
0, 7
Factor 2*a**4 - 120*a**3 - 512*a**2.
2*a**2*(a - 64)*(a + 4)
Factor -5*u**3 + 15*u + 10.
-5*(u - 2)*(u + 1)**2
Determine l, given that 12*l**5 - 6968*l**4/5 + 7708*l**3/5 + 12896*l**2/5 - 368*l = 0.
-1, 0, 2/15, 2, 115
Factor -26364*p**3 + 6084*p**2 + 585*p + 12.
-3*(13*p - 4)*(26*p + 1)**2
Factor -s**4/2 - 55*s**3/2 + 171*s**2/2 - 173*s/2 + 29.
-(s - 1)**3*(s + 58)/2
Let -2*d**3/7 - 6*d**2/7 - 4*d/7 = 0. Calculate d.
-2, -1, 0
Suppose 6*z**5 - 172*z**4 - 64*z**3 + 172*z**2 + 58*z = 0. Calculate z.
-1, -1/3, 0, 1, 29
Solve 3*r**3 - 42*r**2 + 75*r - 36 = 0.
1, 12
Factor 2*y**4 + 204*y**3 + 402*y**2 + 200*y.
2*y*(y + 1)**2*(y + 100)
Let -4*w**5 + 519*w**4 - 16766*w**3 - 4744*w**2 + 16770*w + 4225 = 0. Calculate w.
-1, -1/4, 1, 65
Factor 3*c**2/5 + 597*c/5 - 2436/5.
3*(c - 4)*(c + 203)/5
Factor -3*l**3 - 30*l**2 + 111*l - 78.
-3*(l - 2)*(l - 1)*(l + 13)
Let p**5/4 - p**4 + 5*p**3/4 - p**2/2 = 0. Calculate p.
0, 1, 2
Factor 147*d**3/2 - 1113*d**2/2 + 1392*d - 1152.
3*(d - 3)*(7*d - 16)**2/2
Factor 2*j**3/3 - 80*j**2/3 - 254*j/3 - 172/3.
2*(j - 43)*(j + 1)*(j + 2)/3
Let 2*t**2 + 1132*t - 2272 = 0. Calculate t.
-568, 2
Determine q so that q**4 - 11*q**3 - 27*q**2 + 11*q + 26 = 0.
-2, -1, 1, 13
Suppose -a**2/4 + 6*a - 11 = 0. Calculate a.
2, 22
Solve u**4 - 11*u**3/2 + 6*u**2 + u/2 - 2 = 0.
-1/2, 1, 4
Solve z**2/4 + 1854*z - 7417/4 = 0 for z.
-7417, 1
What is n in -28*n**5 + 356*n**4 - 736*n**3 - 352*n**2 + 1088*n + 320 = 0?
-1, -2/7, 2, 10
Factor 2*j**5/3 - 16*j**4/3 + 44*j**3/3 - 56*j**2/3 + 34*j/3 - 8/3.
2*(j - 4)*(j - 1)**4/3
Factor s**2/2 + 11*s/2 - 6.
(s - 1)*(s + 12)/2
Factor g**4 - 40*g**3 + 437*g**2 - 722*g.
g*(g - 19)**2*(g - 2)
Factor -2*t**3 + 108*t**2 - 768*t + 1472.
-2*(t - 46)*(t - 4)**2
Suppose -2*h**5 - 10*h**4 - 8*h**3 = 0. Calculate h.
-4, -1, 0
Factor 2*m**2/5 - 232*m/5 + 6728/5.
2*(m - 58)**2/5
Let 2*j**2/7 - 200*j - 1402/7 = 0. What is j?
-1, 701
Suppose 3*v**5/2 - 105*v**4/4 + 36*v**3 + 3*v**2/4 - 12*v = 0. What is v?
-1/2, 0, 1, 16
Let -3*i**5/2 + 96*i**4 + 513*i**3 + 324*i**2 - 1863*i/2 = 0. What is i?
-3, 0, 1, 69
Find v such that 15*v**2 + 3*v - 66 = 0.
-11/5, 2
Factor 4*l**4 + 20*l**3 + 24*l**2.
4*l**2*(l + 2)*(l + 3)
Determine l, given that -3*l**3 - 267*l**2 + 1107*l - 837 = 0.
-93, 1, 3
Factor p**2/10 - p/10 - 1/5.
(p - 2)*(p + 1)/10
Let b**3 + 59*b**2 + 364*b = 0. What is b?
-52, -7, 0
Determine i, given that -4*i**3 - 1900*i**2 = 0.
-475, 0
Factor 3*u**4 - 81*u**3 + 411*u**2 + 1845*u + 1350.
3*(u - 15)**2*(u + 1)*(u + 2)
Solve -2*y**2/11 + 46*y/11 - 4 = 0.
1, 22
Factor 2*p**5/3 - 2*p**4/3 - 2*p**3/3 + 2*p**2/3.
2*p**2*(p - 1)**2*(p + 1)/3
Factor -j**3/6 + j/2 - 1/3.
-(j - 1)**2*(j + 2)/6
Determine t, given that 4*t**2 - 1868*t - 1872 = 0.
-1, 468
Let 50*v**4/7 - 3390*v**3/7 + 5988*v**2/7 - 3176*v/7 + 528/7 = 0. What is v?
2/5, 1, 66
Solve 3*m**2 + 255*m + 1848 = 0 for m.
-77, -8
Solve -a**4/7 - 10*a**3/7 - 8*a**2/7 + 10*a/7 + 9/7 = 0.
-9, -1, 1
Let -4*v**5 + 56*v**4 + 716*v**3 + 2432*v**2 + 3248*v + 1472 = 0. What is v?
-4, -2, -1, 23
Factor n**2 - 117*n + 3420.
(n - 60)*(n - 57)
Factor d**2/2 - 117*d + 13689/2.
(d - 117)**2/2
Factor -2*k**3/3 + 34*k**2/3 + 54*k + 42.
-2*(k - 21)*(k + 1)*(k + 3)/3
Let -2*j**5/7 - 9*j**4/7 + 2*j**3/7 + 39*j**2/7 + 18*j/7 = 0. What is j?
-3, -1/2, 0, 2
Find q such that -q**5/3 - 31*q**4/3 - 37*q**3 + 523*q**2/3 + 712*q/3 - 364 = 0.
-26, -7, -2, 1, 3
Factor -36*y**3 + 3396*y**2 - 81760*y + 78400.
-4*(y - 1)*(3*y - 140)**2
Determine z, given that 16*z**3 - 68*z**2 - 320*z + 84 = 0.
-3, 1/4, 7
Solve -2*z**3/7 + 86*z/7 - 12 = 0 for z.
-7, 1, 6
Solve -g**3/5 + 12*g**2 + 252*g/5 + 256/5 = 0 for g.
-2, 64
Solve f**3/2 - 7*f**2 - 2*f + 28 = 0 for f.
-2, 2, 14
Find u such that 4*u**5/3 + 12*u**4 - 904*u**3/3 - 2888*u**2/3 - 980*u - 988/3 = 0.
-19, -1, 13
Factor -2*r**2/13 + 86*r/13.
-2*r*(r - 43)/13
Determine i so that 5*i**2 - 15*i - 20 = 0.
-1, 4
Factor -f**3 - 26*f**2 - 25*f.
-f*(f + 1)*(f + 25)
Factor -4*m**3/5 + 60*m**2 + 612*m/5 + 308/5.
-4*(m - 77)*(m + 1)**2/5
Let -a**3 - 19*a**2 + a + 19 = 0. What is a?
-19, -1, 1
Find o, given that 4*o**5 + 9*o**4 + 6*o**3 + o**2 = 0.
-1, -1/4, 0
Let -10*l**4/7 - 94*l**3/7 - 306*l**2/7 - 54*l - 108/7 = 0. What is l?
-3, -2/5
Factor -95*r**3 - 455*r**2.
-5*r**2*(19*r + 91)
What is c in 2*c**5 - 204*c**4 + 6934*c**3 - 78404*c**2 - 6936*c + 78608 = 0?
-1, 1, 34
Determine o, given that 5*o**2 + 330*o - 335 = 0.
-67, 1
Let 18*y**5 + 94*y**4 + 182*y**3 + 162*y**2 + 64*y + 8 = 0. What is y?
-2, -1, -2/9
Find k, given that -5*k**2 + 51*k - 10 = 0.
1/5, 10
Find k such that -45*k**5 + 1270*k**4 - 3790*k**3 + 4200*k**2 - 1885*k + 250 = 0.
2/9, 1, 25
Let -8*c**5/5 - 548*c**4/5 - 19041*c**3/10 - 4658*c**2/5 - 578*c/5 = 0. What is c?
-34, -1/4, 0
Solve 86*d**4/3 + 436*d**3/3 + 182*d**2 + 12*d = 0.
-3, -2, -3/43, 0
Let 3*c**3 + 339*c**2 + 9048*c - 30276 = 0. What is c?
-58, 3
Factor 5*x**3 - 85*x**2 + 150*x.
5*x*(x - 15)*(x - 2)
Factor -5*f**3 - 60*f**2 - 55*f.
-5*f*(f + 1)*(f + 11)
Determine g, given that -2*g**5/3 - 46*g**4/3 - 28*g**3/3 + 376*g**2/3 + 176*g = 0.
-22, -2, 0, 3
Factor -4*x**4/9 - 8*x**3/3 + 12*x**2.
-4*x**2*(x - 3)*(x + 9)/9
Factor 95*p**2/6 + 4*p/3 - 2.
(5*p + 2)*(19*p - 6)/6
Factor -4*k**3 - 112*k**2 - 384*k.
-4*k*(k + 4)*(k + 24)
Factor -5*g**4 - 3090*g**3 - 474305*g**2 + 957900*g - 480500.
-5*(g - 1)**2*(g + 310)**2
Factor 4*b**4 + 400*b**3 + 7700*b**2 - 121000*b.
4*b*(b - 10)*(b + 55)**2
Suppose 3*y**3 + 18*y**2 + 33*y + 18 = 0. Calculate y.
-3, -2, -1
Factor 2*z**4 + 16*z**3 - 552*z**2 - 6336*z - 10368.
2*(z - 18)*(z + 2)*(z + 12)**2
Determine q, given that -63*q**5 +