/5 + 12*k**2 - 2*k/5 = 0. Calculate k.
0, 1/29, 1
Factor -k**3/3 - 7*k**2/3 + k/3 + 7/3.
-(k - 1)*(k + 1)*(k + 7)/3
Factor 2*j**4/9 + 104*j**3/9 + 1450*j**2/9 + 2500*j/9.
2*j*(j + 2)*(j + 25)**2/9
Let -4*k**3/5 + 12*k**2/5 + 64*k/5 - 192/5 = 0. What is k?
-4, 3, 4
Factor 2*z**3/3 + 196*z**2/3 + 190*z.
2*z*(z + 3)*(z + 95)/3
Factor k**3 - 36*k**2 + 203*k.
k*(k - 29)*(k - 7)
Determine q, given that 4*q**2/7 - 164*q + 10008/7 = 0.
9, 278
Factor d**4 + 9*d**3 - 68*d**2 - 144*d + 832.
(d - 4)**2*(d + 4)*(d + 13)
Factor -2*w**2/7 + 10016*w/7 - 12540032/7.
-2*(w - 2504)**2/7
Factor -s**4/2 + 23*s**3/2 - 93*s**2/2 - 455*s/2 - 169.
-(s - 13)**2*(s + 1)*(s + 2)/2
Factor 2*i**4 - 4*i**3 - 8*i**2 + 4*i + 6.
2*(i - 3)*(i - 1)*(i + 1)**2
Factor -2*d**2/11 + 52*d/11 + 174/11.
-2*(d - 29)*(d + 3)/11
Suppose -3*z**3 - 9*z**2 + 162*z = 0. What is z?
-9, 0, 6
What is o in 25*o**4 + 120*o**3 + 75*o**2 - 20*o = 0?
-4, -1, 0, 1/5
Factor 2*o**3 - 6*o**2 + 6*o - 2.
2*(o - 1)**3
Factor 3*m**2 + 216*m + 2301.
3*(m + 13)*(m + 59)
Suppose 12*k**3 + 68*k**2 - 216*k + 64 = 0. What is k?
-8, 1/3, 2
Let -12*d**4/5 - 70*d**3 - 396*d**2/5 - 112*d/5 = 0. Calculate d.
-28, -2/3, -1/2, 0
What is n in 5*n**3 + 120*n**2 - 255*n + 130 = 0?
-26, 1
Factor -y**3 + 5*y**2 + 36*y.
-y*(y - 9)*(y + 4)
Suppose -b**5/3 - 59*b**4/3 - 107*b**3/3 + 395*b**2/3 - 76*b = 0. What is b?
-57, -4, 0, 1
Suppose 5*a**2 + 20*a - 160 = 0. What is a?
-8, 4
Suppose 4*l**2 + 4*l - 48 = 0. What is l?
-4, 3
Factor 3*b**3/2 - 11823*b**2/2.
3*b**2*(b - 3941)/2
Suppose 2*j**4/7 + 66*j**3/7 + 54*j**2/7 - 314*j/7 + 192/7 = 0. What is j?
-32, -3, 1
What is s in -s**3/3 + 19*s**2/3 - 112*s/3 + 64 = 0?
3, 8
Suppose -3*b**3/2 + 99*b**2/2 + 51*b = 0. Calculate b.
-1, 0, 34
Suppose 2*t**4/5 - 18*t**3/5 - 42*t**2/5 - 22*t/5 = 0. What is t?
-1, 0, 11
Let 5*s**4/4 - 160*s**3 + 13545*s**2/2 - 92450*s - 397535/4 = 0. Calculate s.
-1, 43
Factor -3*i**2 - 2067*i.
-3*i*(i + 689)
Find d, given that -16*d**4 + 572*d**3 + 1344*d**2 + 908*d + 152 = 0.
-1, -1/4, 38
Factor 4*n**2 - 8*n - 96.
4*(n - 6)*(n + 4)
Let -14*b**2 - 2090*b - 596 = 0. Calculate b.
-149, -2/7
Determine s so that -5*s**4 - 45*s**3 - 65*s**2 + 45*s + 70 = 0.
-7, -2, -1, 1
Factor 2*z**4 - 696*z**3 + 692*z**2 + 696*z - 694.
2*(z - 347)*(z - 1)**2*(z + 1)
Factor 4*p**4/3 - 200*p**2/3 + 2500/3.
4*(p - 5)**2*(p + 5)**2/3
Factor -2*g**3/15 - 38*g**2/15 - 128*g/15 - 8.
-2*(g + 2)**2*(g + 15)/15
Suppose b**2/5 + 196*b/5 - 197/5 = 0. What is b?
-197, 1
Suppose -525*m**5 + 318*m**4 + 6291*m**3/5 + 2064*m**2/5 - 12*m/5 = 0. What is m?
-1, -2/5, 0, 1/175, 2
Factor 3*k**4/7 + 9*k**3/7 - 39*k**2/7 - 153*k/7 - 108/7.
3*(k - 4)*(k + 1)*(k + 3)**2/7
Determine q, given that q**4/5 + 24*q**3/5 - 334*q**2/5 - 8736*q/5 - 8379/5 = 0.
-21, -1, 19
Let 5*z**5 - 25*z**3 + 20*z = 0. Calculate z.
-2, -1, 0, 1, 2
Factor 4*q**2 - 104*q - 348.
4*(q - 29)*(q + 3)
Suppose -u**4 + 58*u**3 - 780*u**2 - 1738*u - 899 = 0. What is u?
-1, 29, 31
Suppose 675*w**2 - 3060*w + 3468 = 0. Calculate w.
34/15
Let -4*q**2/9 + 16*q/9 = 0. What is q?
0, 4
Factor 3*t**4 - 65*t**3 + 258*t**2 + 1152*t - 864.
(t - 12)**2*(t + 3)*(3*t - 2)
Factor -4*d**2 - 46744*d - 136562596.
-4*(d + 5843)**2
Factor -3*w**2/4 + 21*w.
-3*w*(w - 28)/4
Find w such that 7*w**5 + 72*w**4 + 216*w**3 + 224*w**2 + 48*w = 0.
-6, -2, -2/7, 0
Find b such that 3*b**2 - 8832*b + 6500352 = 0.
1472
Find r such that 21*r**3/4 + 3345*r**2/4 + 477*r/2 = 0.
-159, -2/7, 0
Let 3*x**3 - 504*x**2 = 0. What is x?
0, 168
Factor -y**3/4 + 33*y**2/4 + 17*y/2.
-y*(y - 34)*(y + 1)/4
Find d such that -2*d**4/3 + 8*d**3 - 6*d**2 - 44*d/3 = 0.
-1, 0, 2, 11
Suppose 2*i**3/7 - 142*i**2 + 124000*i/7 - 123008/7 = 0. What is i?
1, 248
Find n such that -121*n**5 + 671*n**4 - 1307*n**3 + 1057*n**2 - 336*n + 36 = 0.
3/11, 1, 2
Factor 2*u**2/17 + 586*u/17 + 584/17.
2*(u + 1)*(u + 292)/17
Find o, given that 2*o**5/3 + 8*o**4/3 - 10*o**3/3 - 40*o**2/3 + 8*o/3 + 32/3 = 0.
-4, -2, -1, 1, 2
Let -3*x**5 + 9*x**4 + 3*x**3 - 9*x**2 = 0. Calculate x.
-1, 0, 1, 3
Factor m**3/6 + 27*m**2/2.
m**2*(m + 81)/6
Suppose 2*r**2/9 - 32*r/9 - 34/9 = 0. Calculate r.
-1, 17
Factor -65*a**2 + 70*a - 5.
-5*(a - 1)*(13*a - 1)
Suppose 3*u**2/4 + 81*u/2 + 2187/4 = 0. Calculate u.
-27
Let 6*y**3 + 4395*y**2/2 + 201483*y + 100467/2 = 0. What is y?
-183, -1/4
Let -2*u**5/15 - 2*u**4/15 + 26*u**3/15 + 2*u**2/15 - 8*u/5 = 0. What is u?
-4, -1, 0, 1, 3
Let 180*i**4 - 572*i**3 + 80*i**2 + 48*i = 0. Calculate i.
-2/9, 0, 2/5, 3
Factor -u**2/3 - 1265*u/3 + 422.
-(u - 1)*(u + 1266)/3
Factor 4*x**4 - 8*x**3 - 240*x**2 + 200*x + 3500.
4*(x - 7)*(x - 5)*(x + 5)**2
Factor r**2 - 69*r + 134.
(r - 67)*(r - 2)
Determine f, given that -f**5/7 + 2*f**4/7 + 2*f**3/7 - 4*f**2/7 - f/7 + 2/7 = 0.
-1, 1, 2
Factor -3*r**3/8 - 3*r**2/8 + 3*r + 9/2.
-3*(r - 3)*(r + 2)**2/8
Factor -5*f**3 + 270*f**2 - 520*f.
-5*f*(f - 52)*(f - 2)
Suppose 446*h**3/7 - 890*h**2/7 + 442*h/7 + 2/7 = 0. Calculate h.
-1/223, 1
Factor -4*h**3/5 + 2*h**2/5.
-2*h**2*(2*h - 1)/5
Factor u**5/4 - u**4/4 - 3*u**3 - u**2 + 4*u.
u*(u - 4)*(u - 1)*(u + 2)**2/4
Find h, given that h**5 + 12*h**4 + 50*h**3 + 88*h**2 + 69*h + 20 = 0.
-5, -4, -1
Factor -3*v**4 + 18*v**3 - 39*v**2 + 36*v - 12.
-3*(v - 2)**2*(v - 1)**2
Suppose -20*i**5/3 + 1936*i**4/9 + 1684*i**3/9 - 7480*i**2/9 - 5776*i/9 - 352/3 = 0. What is i?
-2, -2/5, -1/3, 2, 33
Let -315*v**4 - 470*v**3 + 1245*v**2 - 520*v + 60 = 0. What is v?
-3, 2/9, 2/7, 1
Determine w so that -3*w**3 - 144*w**2 - 2304*w - 12288 = 0.
-16
What is g in 3755*g**2 - 18785*g + 50 = 0?
2/751, 5
Factor -2*f**4/5 + 2*f**3 + 2*f**2/5 - 2*f.
-2*f*(f - 5)*(f - 1)*(f + 1)/5
Solve -5*h**4 - 1352*h**3 - 90300*h**2 + 149056*h + 73984 = 0 for h.
-136, -2/5, 2
Let -3*k**4 + k**3 + 7*k**2 - k - 4 = 0. Calculate k.
-1, 1, 4/3
Factor 5*r**2 + 80*r + 315.
5*(r + 7)*(r + 9)
Find g such that -2*g**3/3 + 8*g**2/3 + 50*g/3 - 56/3 = 0.
-4, 1, 7
Determine j so that 45*j**3 + 445*j**2 - 100*j - 500 = 0.
-10, -1, 10/9
Factor 3*y**3 - 12*y**2 - 3*y + 12.
3*(y - 4)*(y - 1)*(y + 1)
Suppose 5*i**2 - 6570*i + 2158245 = 0. What is i?
657
Suppose 5*l**4 - 480*l**3 + 11520*l**2 = 0. What is l?
0, 48
Factor -d**5 + 12*d**4 + 14*d**3 - 12*d**2 - 13*d.
-d*(d - 13)*(d - 1)*(d + 1)**2
Solve -w**2/2 - w/2 + 15 = 0.
-6, 5
Factor 3*l**3/7 + 24*l**2/7 + 9*l + 54/7.
3*(l + 2)*(l + 3)**2/7
Factor m**4 + 7*m**3 - 2*m**2 - 60*m - 72.
(m - 3)*(m + 2)**2*(m + 6)
Suppose -12*k**4 - 189*k**3 - 960*k**2 - 1476*k + 432 = 0. What is k?
-6, -4, 1/4
Factor 3*t**3/4 + 9*t**2/2 + 9*t + 6.
3*(t + 2)**3/4
Solve 2*n**3 + 159*n**2/2 - 43*n/2 - 60 = 0.
-40, -3/4, 1
Factor 4*i**4 + 72*i**3 + 192*i**2 + 184*i + 60.
4*(i + 1)**3*(i + 15)
Factor 4*c**4 - 184*c**3 + 2672*c**2 - 11336*c - 14196.
4*(c - 21)*(c - 13)**2*(c + 1)
Factor -11*t**2/3 - 248*t/3 - 44.
-(t + 22)*(11*t + 6)/3
Factor -14*a**2/5 + 3464*a/5 - 690.
-2*(a - 1)*(7*a - 1725)/5
Factor -2*d**4/9 + 238*d**3/9 - 3268*d**2/3 + 153064*d/9 - 548720/9.
-2*(d - 38)**3*(d - 5)/9
Find s such that -2*s**4/3 + 2*s**3/3 + 2*s**2 - 10*s/3 + 4/3 = 0.
-2, 1
Let 3*r**4 + 85*r**3/2 + 79*r**2 + 12*r = 0. What is r?
-12, -2, -1/6, 0
Factor -h**2 + 5678*h - 8059921.
-(h - 2839)**2
Factor 3*w**2 + 255*w - 1932.
3*(w - 7)*(w + 92)
Suppose 7*u**3/6 + 65*u**2/6 - 68*u/3 - 22/3 = 0. Calculate u.
-11, -2/7, 2
Factor 2*g**2/7 - 34*g/7 + 32/7.
2*(g - 16)*(g - 1)/7
Factor -r**2/2 - 89*r/2 + 138.
-(r - 3)*(r + 92)/2
Factor -u**2/3 - 38*u.
-u*(u + 114)/3
Find u, given that -615*u**3 + 6*u**2 + 615*u - 6 = 0.
-1, 2/205, 1
Suppose h**3/4 - 5*h**2/4 - 11*h/2 - 4 = 0. Calculate h.
-2, -1, 8
Factor i**3 - 207*i**2 + 206*i.
i*(i - 206)*(i - 1)
Determine w, given that 305*w**2/6 + 151*w/3 - 1/2 = 0.
-1, 3/305
Factor 2*m**3 - 58*m**2 + 56*m.
2*m*(m - 28)*(m - 1)
Let 2*c**3/13 - 32*c**2/13 - 2*c/13 + 32/13 = 0. What is c?
-1, 1, 16
Factor -v**2 - 23*v.
-v*(v + 23)
Determine i so that -20*i**2 + 76*i + 16 = 0.
-1/5, 4
Let 2*t**2/17 + 218*t/17 + 216/17 = 0. What is t?
-108, -1
What is p in 84*p**2 - 57*p - 27 = 0?
-9/28, 1
Factor -m**3/6 - 223*m**2/2 - 49729*m/2 - 11089567/6.
-(m + 223)**3/6
Factor -3*p**2 + 60*p - 108.
-3*(p - 18)*(p - 2)
Suppose -4*u**2 + 484*u = 0. Calculate u.
0, 121
Factor 2*i**3 + 122*i**2 - 136*i - 744.
2*(i - 3)*(i + 2)*(i + 62)
What is h in -3