e -10*v**5/9 - 8*v**4/3 - 2*v**3/9 + 4*v**2/3 = 0 for v.
-2, -1, 0, 3/5
Determine v, given that -4*v**4 - 23*v**3/2 + 3*v**2/2 = 0.
-3, 0, 1/8
Solve 2*x**3 + 52*x**2 = 0.
-26, 0
Suppose -4*w**4 + 44*w**3 - 36*w**2 - 44*w + 40 = 0. Calculate w.
-1, 1, 10
Suppose 16*g**4 - 388*g**3 + 1136*g**2 - 932*g + 168 = 0. What is g?
1/4, 1, 2, 21
Suppose 25*f**5 + 5*f**4 - 546*f**3 + 486*f**2 + 1161*f + 405 = 0. What is f?
-5, -3/5, 3
Factor 2*b**3/13 - 10*b**2/13 + 4*b/13 + 16/13.
2*(b - 4)*(b - 2)*(b + 1)/13
Factor o**5/7 - 8*o**4/7 + 6*o**3/7 + 8*o**2/7 - o.
o*(o - 7)*(o - 1)**2*(o + 1)/7
Determine j so that 18*j**2 + 8*j - 10 = 0.
-1, 5/9
What is k in -4*k**4 - 88*k**3 - 404*k**2 - 320*k = 0?
-16, -5, -1, 0
Factor -2*o**2/9 + 116*o/9.
-2*o*(o - 58)/9
Suppose -11*r**4 - 40*r**3 + 137*r**2 - 110*r + 24 = 0. Calculate r.
-6, 4/11, 1
Solve u**4 + 9*u**3 + 7*u**2 - 9*u - 8 = 0 for u.
-8, -1, 1
Find k such that -k**3 + 153*k**2 - 600*k + 596 = 0.
2, 149
Factor b**3/7 + 41*b**2/7 - 85*b/7 + 43/7.
(b - 1)**2*(b + 43)/7
Solve 3*g**4 - 36*g**3 + 126*g**2 - 156*g + 63 = 0 for g.
1, 3, 7
Suppose -4*t**3 - 96*t**2 - 164*t + 264 = 0. Calculate t.
-22, -3, 1
Factor -5*u**2/4 - 315*u/4 - 155/2.
-5*(u + 1)*(u + 62)/4
Find g such that -5*g**2/6 - 7*g - 8/3 = 0.
-8, -2/5
Let u**4/6 - 11*u**3/2 - 265*u**2/6 - 197*u/2 - 60 = 0. Calculate u.
-3, -1, 40
Factor 2*f**4/5 + 4*f**3 + 18*f**2/5.
2*f**2*(f + 1)*(f + 9)/5
Solve 4*w**5/3 - 12*w**4 + 112*w**3/3 - 48*w**2 + 64*w/3 = 0 for w.
0, 1, 2, 4
Factor -2*w**2 - 84*w - 882.
-2*(w + 21)**2
Find x such that x**2/2 - 7*x/2 + 5 = 0.
2, 5
Let 3*q**4 + 574*q**3 + 5648*q**2 + 6706*q + 1629 = 0. Calculate q.
-181, -9, -1, -1/3
Factor 4*k**4 + 28*k**3.
4*k**3*(k + 7)
Factor -t**4/3 - 5*t**3 - 25*t**2 - 125*t/3.
-t*(t + 5)**3/3
Let 216*j**4/11 + 90*j**3/11 - 114*j**2/11 + 14*j/11 + 2/11 = 0. What is j?
-1, -1/12, 1/3
Solve -6*n**4 - 98*n**3 - 26*n**2 + 98*n + 32 = 0.
-16, -1, -1/3, 1
Factor 3*j**2 - 831*j - 1674.
3*(j - 279)*(j + 2)
Factor 2*k**3 + 470*k**2 + 30414*k + 320346.
2*(k + 13)*(k + 111)**2
Find p such that 5*p**3 + 1535*p**2 + 118575*p + 117045 = 0.
-153, -1
Factor -4*u**2 + 1404*u - 1400.
-4*(u - 350)*(u - 1)
Let r**4 - 100*r**3/7 + 44*r**2 - 80*r/7 = 0. Calculate r.
0, 2/7, 4, 10
Find x, given that 5*x**5 - 430*x**4 + 835*x**3 + 430*x**2 - 840*x = 0.
-1, 0, 1, 2, 84
Solve -2*p**2 + 22*p + 120 = 0.
-4, 15
Find q such that -q**4/5 - 4*q**3/5 - 3*q**2/5 = 0.
-3, -1, 0
Factor -5*y**2 - 61*y - 12.
-(y + 12)*(5*y + 1)
Factor 14*u**2 - 95*u - 136.
(u - 8)*(14*u + 17)
Let x**5/7 + 2*x**4/7 - x**3 - 8*x**2/7 + 12*x/7 = 0. What is x?
-3, -2, 0, 1, 2
What is b in 4*b**2 - 2496*b + 2492 = 0?
1, 623
Factor 2*m**3 + 232*m**2 + 6728*m.
2*m*(m + 58)**2
Factor 4*f**4/3 + 464*f**3/3 + 892*f**2 + 1320*f.
4*f*(f + 3)**2*(f + 110)/3
Let -j**3 + 4*j**2 + 11*j + 6 = 0. What is j?
-1, 6
Factor i**2/2 + 31*i + 61/2.
(i + 1)*(i + 61)/2
Factor 2*a**3 + 10*a**2 - 8*a - 40.
2*(a - 2)*(a + 2)*(a + 5)
Factor 4*f**5 - 52*f**4 - 180*f**3 - 188*f**2 - 64*f.
4*f*(f - 16)*(f + 1)**3
Factor -2*s**3/19 - 192*s**2/19 - 4608*s/19.
-2*s*(s + 48)**2/19
Factor 4*h**2 + 420*h - 424.
4*(h - 1)*(h + 106)
Find n, given that 6*n**2/11 + 1722*n/11 = 0.
-287, 0
Factor -5*y**2 + 170*y - 320.
-5*(y - 32)*(y - 2)
Factor 5*o**3 - 1385*o**2 - 2790*o.
5*o*(o - 279)*(o + 2)
Let -i**3/8 - 11*i**2/8 - 19*i/8 - 9/8 = 0. Calculate i.
-9, -1
Determine x so that -14*x**3/11 - 82*x**2/11 + 112*x/11 = 0.
-7, 0, 8/7
Factor 7*q**3 - 5*q**2 - 16*q - 4.
(q - 2)*(q + 1)*(7*q + 2)
Solve 2*z**5 + 8*z**4 - 60*z**3 + 40*z**2 + 58*z - 48 = 0.
-8, -1, 1, 3
Factor 2*g**2/9 + 386*g/9 + 128/3.
2*(g + 1)*(g + 192)/9
Factor 125*k**3 - 365*k**2 - 30*k.
5*k*(k - 3)*(25*k + 2)
Find f such that f**5/4 + f**4 + 5*f**3/4 + f**2/2 = 0.
-2, -1, 0
Solve -3*j**4 + 123*j**3 + 819*j**2 + 1257*j + 564 = 0.
-4, -1, 47
Determine a, given that a**4/2 + 139*a**3 + 18469*a**2/2 - 59214*a + 90738 = 0.
-142, 3
Let -g**4/3 + 2*g**3/3 + 5*g**2 = 0. Calculate g.
-3, 0, 5
Factor -h**4/8 + 3*h**3/2 + 21*h**2/4 + 11*h/2 + 15/8.
-(h - 15)*(h + 1)**3/8
Factor -2*c**3 + 2*c.
-2*c*(c - 1)*(c + 1)
Factor 2*u**3/7 - 396*u**2/7 + 19602*u/7.
2*u*(u - 99)**2/7
Factor 3*m**2 - 924*m + 2745.
3*(m - 305)*(m - 3)
Factor 5*n**4/7 + 4*n**3/7 - 5*n**2/7 - 4*n/7.
n*(n - 1)*(n + 1)*(5*n + 4)/7
Let 4*j**4 - 8*j**3 - 84*j**2 - 72*j = 0. What is j?
-3, -1, 0, 6
Factor -o**2/7 + 48*o/7 + 208/7.
-(o - 52)*(o + 4)/7
Let -2*w**2/15 + 4*w - 112/15 = 0. What is w?
2, 28
Factor -105*q**2 + 1405*q + 410.
-5*(3*q - 41)*(7*q + 2)
Determine a so that 2*a**5 + 14*a**4 + 22*a**3 + 10*a**2 = 0.
-5, -1, 0
Factor 2*a**4/3 - 12*a**3 + 218*a**2/3 - 168*a + 392/3.
2*(a - 7)**2*(a - 2)**2/3
Suppose -m**3/5 + 2*m**2 + 13*m/5 - 22/5 = 0. Calculate m.
-2, 1, 11
Factor 2*t**3 - 543*t**2/2 + 202*t + 135/2.
(t - 135)*(t - 1)*(4*t + 1)/2
Let 5*u**4 + 50*u**3 - 465*u**2 + 290*u + 800 = 0. Calculate u.
-16, -1, 2, 5
Factor -k**2/3 + 74*k/3 - 1369/3.
-(k - 37)**2/3
Determine v so that -2*v**5 + 60*v**4 + 192*v**3 + 196*v**2 + 66*v = 0.
-1, 0, 33
Factor 3*n**3/4 - 147*n**2/4 - 720*n.
3*n*(n - 64)*(n + 15)/4
Let -4*n**4 - 628*n**3 - 32436*n**2 - 528092*n + 1191016 = 0. What is n?
-53, 2
Factor k**4/3 - 3*k**3 + 11*k**2/3 + 7*k.
k*(k - 7)*(k - 3)*(k + 1)/3
Factor 3*l**3/4 - 539*l**2/4 - 597*l - 184.
(l - 184)*(l + 4)*(3*l + 1)/4
Suppose 4*u**5/5 + 16*u**4/5 + 8*u**3/5 - 16*u**2/5 - 12*u/5 = 0. Calculate u.
-3, -1, 0, 1
Solve -5*o**2 + 60*o - 135 = 0 for o.
3, 9
Suppose -2*z**2/9 + 572*z/3 - 40898 = 0. Calculate z.
429
Factor 120626289*k**3/5 + 120670221*k**2/5 + 43936*k/5 + 4/5.
(k + 1)*(10983*k + 2)**2/5
Factor -4*z**2/3 + 228*z + 1384/3.
-4*(z - 173)*(z + 2)/3
Factor -3*l**4 + 24*l**3 + 129*l**2 + 174*l + 72.
-3*(l - 12)*(l + 1)**2*(l + 2)
Factor -5*k**2 + 805*k - 1590.
-5*(k - 159)*(k - 2)
Solve 10*w**5 - 1174*w**4 - 1902*w**3 - 242*w**2 + 476*w = 0.
-1, 0, 2/5, 119
Factor x**4 - 2*x**3.
x**3*(x - 2)
Suppose b**4/3 + 10*b**3 + 27*b**2 - 4*b/3 - 36 = 0. Calculate b.
-27, -2, 1
Factor z**3/9 - 19*z**2/9 + 112*z/9 - 64/3.
(z - 8)**2*(z - 3)/9
Factor y**4 + 45*y**3/4 + 151*y**2/4 + 135*y/4 + 25/4.
(y + 1)*(y + 5)**2*(4*y + 1)/4
Solve 5*t**4 + 41*t**3 + 109*t**2 + 115*t + 42 = 0 for t.
-21/5, -2, -1
Find l such that 3*l**4/2 - 6*l**3 + 9*l**2/2 + 6*l - 6 = 0.
-1, 1, 2
Suppose m**4/3 - 41*m**3/3 - 85*m**2/3 - 43*m/3 = 0. Calculate m.
-1, 0, 43
Solve s**4/11 - 136*s**3/11 - 142*s**2/11 + 688*s/11 - 411/11 = 0.
-3, 1, 137
Factor 5*p**3 + 42030*p**2 + 117768060*p + 109995368040.
5*(p + 2802)**3
Suppose 4*w**5/3 - 337*w**4/3 + 412*w**3/3 + 254*w**2/3 - 416*w/3 + 83/3 = 0. What is w?
-1, 1/4, 1, 83
Factor 5*r**4 + 44910*r**3 + 100800485*r**2 - 201735720*r + 100890320.
5*(r - 1)**2*(r + 4492)**2
Solve 4*p**3/7 + 16*p**2/7 + 20*p/7 + 8/7 = 0 for p.
-2, -1
Determine g, given that 4*g**4 - 64*g**3 - 12*g**2 + 184*g + 128 = 0.
-1, 2, 16
Solve -38642*p**5/3 - 39754*p**4/3 + 230732*p**3/3 + 6664*p**2/3 + 16*p = 0 for p.
-3, -2/139, 0, 2
Find g, given that g**3/2 + 2*g**2 + 3*g/2 = 0.
-3, -1, 0
Determine a so that -a**4 - 14*a**3 - 29*a**2 + 176*a + 192 = 0.
-8, -1, 3
Determine g so that 4*g**4 - 592*g**3 + 2324*g**2 - 2888*g + 1152 = 0.
1, 2, 144
Determine v, given that -v**2 + 73*v - 210 = 0.
3, 70
Factor -6*y**3 + 27*y**2 + 261*y + 228.
-3*(y + 1)*(y + 4)*(2*y - 19)
Suppose -4*k**4 - 88*k**3 + 48*k**2 + 992*k - 1408 = 0. What is k?
-22, -4, 2
Factor 39*a**3 + 15*a**2 - 396*a.
3*a*(a - 3)*(13*a + 44)
Factor -16*v**3 + 52*v**2 - 44*v + 8.
-4*(v - 2)*(v - 1)*(4*v - 1)
Factor -2*o**2/19 + 4*o/19.
-2*o*(o - 2)/19
Solve -t**2 + 684*t - 116964 = 0.
342
Let 3*f**4 - 87*f**3 + 672*f**2 - 588*f = 0. Calculate f.
0, 1, 14
Factor -5*l**3 + 210*l**2 + 455*l - 660.
-5*(l - 44)*(l - 1)*(l + 3)
Factor g**2/3 - 3*g.
g*(g - 9)/3
Factor -2*r**3/7 + 26*r**2/7 - 24*r/7.
-2*r*(r - 12)*(r - 1)/7
Suppose -p**4/9 - p**3 - 5*p**2/3 - 7*p/9 = 0. What is p?
-7, -1, 0
Factor 5*z**4 + 5*z**3 - 10*z**2.
5*z**2*(z - 1)*(z + 2)
What is u in -u**4 + 158*u**3 - 6549*u**2 + 24332*u - 23716 = 0?
2, 77
Determine u so that -u**2/3 - 25*u/3 + 350/3 = 0.
-35, 10
Solve 7*g**4/3 - 199*g**3/3 - 784*g**2/3 - 524*g/3 + 128 = 0.
-2, 3/7, 32
Factor -245*m**4 + 1260*m**3 - 990*m**2 - 1620*m - 405.
-5*(m - 3)**2*(7*m + 3)**2
Find x such t