 7696/3.
(m - 962)*(7*m + 2)**3/3
Let -3*d**2 - 924*d - 71148 = 0. Calculate d.
-154
Suppose o**4/2 + 6*o**3 - 29*o**2/2 - 6*o + 14 = 0. Calculate o.
-14, -1, 1, 2
What is w in 6*w**5/7 - 33*w**4/7 + 9*w**3/7 + 33*w**2/7 - 15*w/7 = 0?
-1, 0, 1/2, 1, 5
Factor -3*z**2/2 - 501*z/2 + 507.
-3*(z - 2)*(z + 169)/2
Suppose -3*o**3 - 507*o**2 - 5613*o + 6123 = 0. What is o?
-157, -13, 1
Factor -j**2/4 + 3142*j - 9872164.
-(j - 6284)**2/4
Factor y**5/3 - 13*y**4/3 + 22*y**3/3.
y**3*(y - 11)*(y - 2)/3
What is s in 49*s**4 + 329*s**3 + 750*s**2 + 684*s + 216 = 0?
-3, -2, -6/7
Solve -g**4/2 - g**3/2 + 7*g**2/2 + g/2 - 3 = 0 for g.
-3, -1, 1, 2
Factor 4*u**2 + 112*u + 684.
4*(u + 9)*(u + 19)
Factor -4*w**3 + 248*w**2 - 3844*w.
-4*w*(w - 31)**2
Factor 3*d**2 + 597*d + 594.
3*(d + 1)*(d + 198)
Factor -z**3 + 157*z**2 - 2051*z + 7007.
-(z - 143)*(z - 7)**2
What is o in o**3/3 - 138*o**2 + 19044*o - 876024 = 0?
138
Solve -4*l**4 - 328*l**3 - 7044*l**2 - 13120*l - 6400 = 0.
-40, -1
Factor -11*v**3 + 9*v**2 + 24*v + 4.
-(v - 2)*(v + 1)*(11*v + 2)
Factor 2*u**2/19 - 276*u/19 - 278/19.
2*(u - 139)*(u + 1)/19
Factor -4*o**4 + 268*o**3 - 780*o**2 + 772*o - 256.
-4*(o - 64)*(o - 1)**3
What is k in -k**5 + 28*k**4 - 53*k**3 + 26*k**2 = 0?
0, 1, 26
Factor -2*g**2 + 138*g + 432.
-2*(g - 72)*(g + 3)
Factor 2*c**5/11 + 224*c**4/11 - 920*c**3/11 + 928*c**2/11.
2*c**2*(c - 2)**2*(c + 116)/11
Factor -2*q**4/7 + 164*q**3/7 - 3522*q**2/7 + 6560*q/7 - 3200/7.
-2*(q - 40)**2*(q - 1)**2/7
Factor n**4/4 + n**3 + n**2/2 - n - 3/4.
(n - 1)*(n + 1)**2*(n + 3)/4
Suppose t**3/6 + 4*t**2/3 - 10*t/3 = 0. Calculate t.
-10, 0, 2
Factor 4*k**3/5 - 236*k**2/5 - 48*k.
4*k*(k - 60)*(k + 1)/5
Determine k so that -2*k**3/3 + 190*k**2/3 - 1472*k - 1536 = 0.
-1, 48
Find t such that -7*t**5/3 + 58*t**4/3 + 61*t**3/3 - 148*t**2/3 + 12*t = 0.
-2, 0, 2/7, 1, 9
Solve -299538*t**2 + 774*t - 1/2 = 0 for t.
1/774
Find u such that -3*u**4/7 + 12*u**3/7 + 138*u**2/7 - 12*u/7 - 135/7 = 0.
-5, -1, 1, 9
Determine t, given that t**5/6 + 2*t**4 + 9*t**3/2 - 2*t**2/3 - 6*t = 0.
-9, -2, 0, 1
Factor -2*d**2/9 - 116*d - 15138.
-2*(d + 261)**2/9
Factor 5*g**2/4 - 1095*g/4 + 545/2.
5*(g - 218)*(g - 1)/4
Factor -5*s**2 - 370*s - 6125.
-5*(s + 25)*(s + 49)
Find a such that a**2/3 - 14*a/3 - 176/3 = 0.
-8, 22
Factor 16*k**4/11 + 136*k**3/11 - 228*k**2/11 + 118*k/11 - 20/11.
2*(k + 10)*(2*k - 1)**3/11
Factor 2*u**5/3 - 32*u**3/3 + 76*u**2/3 - 22*u + 20/3.
2*(u - 2)*(u - 1)**3*(u + 5)/3
Solve -36*w**3 - 43944*w**2 + 58640*w - 19552 = 0.
-1222, 2/3
Find c, given that -c**2 + 793*c/5 + 318/5 = 0.
-2/5, 159
Determine d, given that 2*d**4 + 15544*d**3 + 45302988*d**2 + 58682470456*d + 28505010024002 = 0.
-1943
Determine m so that 5*m**2 - 60*m - 65 = 0.
-1, 13
Factor -162*t**5 - 315684*t**4 - 153895920*t**3 - 922533856*t**2/9 - 204945184*t/9 - 15178816/9.
-2*(t + 974)**2*(9*t + 2)**3/9
Factor v**5 - 2*v**3 + v.
v*(v - 1)**2*(v + 1)**2
Find v such that v**5 - 71*v**4 - 146*v**3 - 2*v**2 + 145*v + 73 = 0.
-1, 1, 73
Determine g so that -3*g**2/8 + 9*g/4 - 3 = 0.
2, 4
Factor 2*h**2/9 + 10*h/9 - 4/3.
2*(h - 1)*(h + 6)/9
What is n in -5*n**5/7 + 172*n**4/7 + 477*n**3/7 + 152*n**2/7 - 148*n/7 = 0?
-2, -1, 0, 2/5, 37
Factor -5*o**4 + 100*o**3 + 460*o**2 - 9600*o - 46080.
-5*(o - 16)**2*(o + 6)**2
Let 2*i**4/7 + 109*i**3/7 + 53*i**2/7 - 54*i/7 = 0. What is i?
-54, -1, 0, 1/2
Solve -6*u**4/7 + 110*u**3/7 + 706*u**2/7 - 14430*u/7 - 9900/7 = 0.
-11, -2/3, 15
Let 8*b**3 - 6*b**2 - 12*b + 10 = 0. What is b?
-5/4, 1
Determine a so that -2*a**3/5 - 72*a**2/5 + 8*a/5 + 288/5 = 0.
-36, -2, 2
Factor q**3/6 + 1067*q**2/3 + 4262*q/3 + 1420.
(q + 2)**2*(q + 2130)/6
Factor -3*u**3 + 39*u**2 - 78*u - 336.
-3*(u - 8)*(u - 7)*(u + 2)
Factor 4*q**2 - 652*q - 656.
4*(q - 164)*(q + 1)
Factor o**2/2 - o + 1/2.
(o - 1)**2/2
Factor -l**2/2 + 100*l + 201/2.
-(l - 201)*(l + 1)/2
Solve -k**4 + 13*k**3 - 62*k**2 + 128*k - 96 = 0.
2, 3, 4
Factor 3*n**3 - 9396*n**2 + 9809424*n - 3413679552.
3*(n - 1044)**3
Solve d**5 - 2*d**4 - 19*d**3 - 28*d**2 - 12*d = 0.
-2, -1, 0, 6
Determine d so that 3*d**2 + 45*d + 150 = 0.
-10, -5
Factor 2*d**3 - 20*d**2.
2*d**2*(d - 10)
Determine y, given that 5*y**3 + 155*y**2 + 1120*y - 1280 = 0.
-16, 1
Factor -3*d**3 - 270*d**2 + 273*d.
-3*d*(d - 1)*(d + 91)
Factor 18*a**5/7 - 156*a**4/7 + 338*a**3/7.
2*a**3*(3*a - 13)**2/7
Solve -6*w**5 - 1281*w**4 - 68052*w**3 + 34347*w**2 = 0.
-107, 0, 1/2
Suppose m**2/2 - m/2 = 0. What is m?
0, 1
Factor -2*v**3/9 + 16*v**2/9 - 32*v/9.
-2*v*(v - 4)**2/9
Determine o, given that 5*o**4 + 115*o**3 - 130*o**2 - 240*o = 0.
-24, -1, 0, 2
Solve -35*l**3 - 4435*l**2 + 10300*l - 2580 = 0.
-129, 2/7, 2
Solve 34*y**4/3 + 24*y**3 + 8*y**2/3 = 0.
-2, -2/17, 0
Determine m so that -4*m**3/3 - 8*m**2/3 + 4*m/3 + 8/3 = 0.
-2, -1, 1
Find l such that l**4/5 - 4*l**3/5 + 6*l**2/5 - 4*l/5 + 1/5 = 0.
1
Factor -u**2/8 - 445*u/8.
-u*(u + 445)/8
Factor -d**2 + 254*d - 16129.
-(d - 127)**2
Factor -4*x**3 - 936*x**2 - 73008*x - 1898208.
-4*(x + 78)**3
Let 2*r**4/15 + 4*r**3/15 - 94*r**2/15 + 88*r/5 - 72/5 = 0. What is r?
-9, 2, 3
Determine r so that 5*r**2 - 120*r - 1280 = 0.
-8, 32
Factor 5*k**2/2 - 345*k - 2115/2.
5*(k - 141)*(k + 3)/2
What is k in -k**3/5 + 1671*k**2/5 + 669*k + 1673/5 = 0?
-1, 1673
Factor 20*j**2 - 505*j + 125.
5*(j - 25)*(4*j - 1)
Factor 5*z**4 - 5*z**2.
5*z**2*(z - 1)*(z + 1)
Find z such that -15*z**4 + 415*z**3 - 655*z**2 + 125*z + 130 = 0.
-1/3, 1, 26
Let 3*f**4 + 36*f**3 + 99*f**2 + 6*f - 144 = 0. What is f?
-8, -3, -2, 1
Determine y, given that -3*y**4 - 174*y**3 + 2025*y**2 + 166584*y - 168432 = 0.
-44, 1, 29
Let -5*d**3/6 + 55*d**2 + 230*d + 700/3 = 0. What is d?
-2, 70
Let -3*s**4 + 74*s**3 - 404*s**2 - 650*s - 169 = 0. Calculate s.
-1, -1/3, 13
Let -q**2/7 - 37*q/7 - 36/7 = 0. Calculate q.
-36, -1
Suppose -5*o**5 + 5*o**4 + 25*o**3 - 25*o**2 - 20*o + 20 = 0. Calculate o.
-2, -1, 1, 2
Factor 2*c**2/19 + 20*c/19 + 42/19.
2*(c + 3)*(c + 7)/19
Suppose v**4 - 258*v**3 + 16897*v**2 - 33024*v + 16384 = 0. What is v?
1, 128
Suppose 15*c**5 + 39*c**4 + 3*c**3 - 39*c**2 - 18*c = 0. What is c?
-2, -1, -3/5, 0, 1
Solve 6*x**4 - 4*x**3 - 72*x**2 + 144*x - 64 = 0 for x.
-4, 2/3, 2
Determine q so that -2*q**2 - 384*q + 776 = 0.
-194, 2
Solve 21*v**2/8 + 15*v/8 - 3/4 = 0 for v.
-1, 2/7
Factor 5*v**2 + 660*v + 21780.
5*(v + 66)**2
Factor -3*v**2 + 378*v + 381.
-3*(v - 127)*(v + 1)
Factor 5*r**4/3 - 640*r**3/3 - 1295*r**2/3 - 650*r/3.
5*r*(r - 130)*(r + 1)**2/3
Find l such that -3*l**3 - 9*l**2 + 3*l + 9 = 0.
-3, -1, 1
Factor -2*p**2/7 - 2916*p - 7440174.
-2*(p + 5103)**2/7
Factor -2*d**2/9 + 58*d/9 + 88/3.
-2*(d - 33)*(d + 4)/9
Factor -2*y**2/7 - 32*y/7.
-2*y*(y + 16)/7
Factor -2*y**3/5 + 32*y/5.
-2*y*(y - 4)*(y + 4)/5
Factor -3*o**3 - 75*o**2 - 429*o + 507.
-3*(o - 1)*(o + 13)**2
Find o, given that o**3 + 2*o**2 - 5*o - 6 = 0.
-3, -1, 2
Factor 5*q**4 - 215*q**3 + 2610*q**2 - 6400*q + 4000.
5*(q - 20)**2*(q - 2)*(q - 1)
Determine b so that 2*b**4/9 - 14*b**3/3 - 424*b**2/9 - 376*b/3 - 928/9 = 0.
-4, -2, 29
Let -3*s**2/5 - 21*s/5 - 6 = 0. Calculate s.
-5, -2
Factor 5*q**5 - 1375*q**4 - 4155*q**3 - 4165*q**2 - 1390*q.
5*q*(q - 278)*(q + 1)**3
Let -2*i**4/7 + 2*i**3/7 + 74*i**2/7 + 10*i = 0. Calculate i.
-5, -1, 0, 7
Determine r so that 25*r**4 - 1665*r**3 - 695*r**2 + 1665*r + 670 = 0.
-1, -2/5, 1, 67
Factor w**3/4 + 71*w**2/4 - 145*w/4 + 73/4.
(w - 1)**2*(w + 73)/4
Let 4*l**5/7 - 652*l**4/7 + 92*l**3 + 652*l**2/7 - 648*l/7 = 0. Calculate l.
-1, 0, 1, 162
Determine h so that 12*h**3 - 776*h**2 + 4320*h - 5632 = 0.
2, 4, 176/3
Suppose -o**5/5 - 3*o**4/5 + 8*o**3/5 + 12*o**2/5 - 16*o/5 = 0. Calculate o.
-4, -2, 0, 1, 2
Factor -3*y**2 - 18*y + 81.
-3*(y - 3)*(y + 9)
Factor -46*x**3 + 4*x**2 + 46*x - 4.
-2*(x - 1)*(x + 1)*(23*x - 2)
Suppose -a**3/6 + 7*a**2/6 + 17*a/6 + 3/2 = 0. Calculate a.
-1, 9
What is c in 5*c**5 - 115*c**4 + 800*c**3 - 1480*c**2 - 400*c + 2000 = 0?
-1, 2, 10
Factor 2*h**3/3 - 2*h**2/3 - 8*h/3 + 8/3.
2*(h - 2)*(h - 1)*(h + 2)/3
Find v, given that v**5/5 + 9*v**4/5 + 27*v**3/5 + 31*v**2/5 + 12*v/5 = 0.
-4, -3, -1, 0
Factor -h**2 - 511*h + 512.
-(h - 1)*(h + 512)
Suppose -33*o**4/2 + 39*o**3/2 + 21*o**2/2 - 27*o/2 = 0. Calculate o.
-9/11, 0, 1
Factor -3*h**3 + 624*h**2 - 1239*h + 618.
-3*(h - 20