olve y**3/6 - 2*y**2 + 13*y/2 - 14/3 = 0 for y.
1, 4, 7
Find b, given that -2*b**5/17 - 44*b**4/17 + 6*b**3/17 + 128*b**2/17 - 88*b/17 = 0.
-22, -2, 0, 1
Solve l**5/5 - 11*l**4/5 + 4*l**3 + 44*l**2/5 - 96*l/5 = 0.
-2, 0, 2, 3, 8
Find g, given that g**2/2 + 6*g + 16 = 0.
-8, -4
What is y in -4*y**3 - 44*y**2 + 304*y - 256 = 0?
-16, 1, 4
Factor 6*b**3/7 - 32*b**2/7 + 6*b/7 + 20/7.
2*(b - 5)*(b - 1)*(3*b + 2)/7
Factor -4*h**2 + 340*h + 344.
-4*(h - 86)*(h + 1)
Let -3*x**4 - 3*x**3 + 12*x**2 + 12*x = 0. What is x?
-2, -1, 0, 2
Factor -2*q**3 + 36*q**2 - 192*q + 320.
-2*(q - 10)*(q - 4)**2
Suppose m**3 + 20*m**2 + 77*m - 242 = 0. Calculate m.
-11, 2
Solve 5*h**3 - 15230*h**2 + 11582400*h + 23225760 = 0.
-2, 1524
Determine c, given that -5*c**4 + 10*c**3 - 10*c + 5 = 0.
-1, 1
Factor i**4/6 - 5*i**3/3 + 14*i**2/3 - 4*i.
i*(i - 6)*(i - 2)**2/6
What is y in 2523*y**2 - 58*y + 1/3 = 0?
1/87
Factor 3*x**3/2 - 138*x**2 + 6615*x/2 - 6075.
3*(x - 45)**2*(x - 2)/2
Let 3*t**2 - 14322*t + 17093307 = 0. Calculate t.
2387
Factor 4*o**4/3 - o**3 - 4*o**2/3 + o.
o*(o - 1)*(o + 1)*(4*o - 3)/3
What is j in 5*j**4 + 470*j**3 + 465*j**2 = 0?
-93, -1, 0
Determine u so that -2*u**2 - 624*u - 48672 = 0.
-156
Let 196*m**3/5 - 357*m**2/10 + 39*m/5 - 1/2 = 0. Calculate m.
1/7, 5/8
What is l in 2*l**5/5 + 36*l**4 - 1134*l**3/5 + 1728*l**2/5 = 0?
-96, 0, 3
Determine z, given that z**3/4 + z**2 - 41*z/4 + 9 = 0.
-9, 1, 4
Factor 14*x**5 + 52*x**4 + 68*x**3 + 32*x**2 - 2*x - 4.
2*(x + 1)**4*(7*x - 2)
Determine r so that 2*r**5/9 - 8*r**4/9 + 20*r**2/9 - 2*r/9 - 4/3 = 0.
-1, 1, 2, 3
Factor -16*f**2 - 188*f - 396.
-4*(f + 9)*(4*f + 11)
Solve -5*v**2 + 11220*v - 6294420 = 0 for v.
1122
Find c, given that -2*c**2/7 - 300*c - 2098/7 = 0.
-1049, -1
Factor -2*a**5/21 - 2*a**4/3 + 80*a**3/21 - 88*a**2/21.
-2*a**2*(a - 2)**2*(a + 11)/21
Factor 2*y**2/3 + 5518*y/3 + 5516/3.
2*(y + 1)*(y + 2758)/3
Factor -18*a**3 - 60*a**2 - 56*a - 16.
-2*(a + 2)*(3*a + 2)**2
Find q such that 5*q**2 - 315*q + 1450 = 0.
5, 58
Factor -5*z**4 + 860*z**3 - 37830*z**2 + 73100*z - 36125.
-5*(z - 85)**2*(z - 1)**2
What is t in -15*t**4 + 1150*t**3 + 4045*t**2 - 3580*t - 1600 = 0?
-4, -1/3, 1, 80
Determine y so that 10*y**5/7 + 6*y**4/7 - 10*y**3/7 - 6*y**2/7 = 0.
-1, -3/5, 0, 1
What is y in -5*y**2 - 3325*y + 3330 = 0?
-666, 1
Determine v so that -20*v**2/3 - 452*v/3 + 184/3 = 0.
-23, 2/5
Let -4*k**3/5 - 36*k**2/5 + 88*k/5 = 0. Calculate k.
-11, 0, 2
Factor -o**3 + 2*o**2 + o - 2.
-(o - 2)*(o - 1)*(o + 1)
What is u in -u**2/6 - 15*u/2 - 43/3 = 0?
-43, -2
Solve -v**5/6 - v**4 + 19*v**3/6 + 8*v**2/3 - 10*v + 16/3 = 0.
-8, -2, 1, 2
Solve 2*k**2 + 950*k/7 - 136/7 = 0.
-68, 1/7
Suppose 5*s**3/9 + 542*s**2/9 + 1644*s + 648 = 0. Calculate s.
-54, -2/5
Suppose u**5/9 - 11*u**4/9 + 16*u**3/3 - 104*u**2/9 + 112*u/9 - 16/3 = 0. Calculate u.
2, 3
Find b, given that -b**4/5 + 2*b**3/5 + b**2/5 - 2*b/5 = 0.
-1, 0, 1, 2
Find p, given that 2*p**2/17 + 7652*p/17 + 7319138/17 = 0.
-1913
Solve -o**2/4 - 3*o/2 + 7/4 = 0.
-7, 1
Factor o**4/7 - 11*o**2/7 - 18*o/7 - 8/7.
(o - 4)*(o + 1)**2*(o + 2)/7
Let -2*a**4/7 - 20*a**3/7 + 106*a**2/7 - 12*a = 0. Calculate a.
-14, 0, 1, 3
Factor 5*r**3 - 2725*r**2.
5*r**2*(r - 545)
Factor 5*a**3 - 1916*a**2 - 3461*a - 1540.
(a - 385)*(a + 1)*(5*a + 4)
Factor 12*q**3/7 - 69*q**2/7 + 90*q/7 + 27/7.
3*(q - 3)**2*(4*q + 1)/7
Suppose -w**2 - 8*w + 105 = 0. Calculate w.
-15, 7
Determine r, given that r**3 + 16*r**2 - 35*r + 18 = 0.
-18, 1
Factor 3*z**5/5 - 18*z**3/5 - 24*z**2/5 - 9*z/5.
3*z*(z - 3)*(z + 1)**3/5
Factor 13122*w**5 - 972*w**4 - 360*w**3 - 16*w**2.
2*w**2*(9*w - 2)*(27*w + 2)**2
Suppose -3*t**3/5 + 48*t**2/5 + 12*t/5 - 192/5 = 0. What is t?
-2, 2, 16
Factor -5*w**3/2 - 115*w**2/2 + 6825*w/2 - 59625/2.
-5*(w - 15)**2*(w + 53)/2
Factor y**2 + y - 30.
(y - 5)*(y + 6)
Suppose -2*r**2 - 2108*r + 4224 = 0. Calculate r.
-1056, 2
Solve 300*r**4 + 2915*r**3 - 845*r**2 + 50*r = 0 for r.
-10, 0, 1/12, 1/5
What is t in 3*t**4/7 - 3*t**2/7 = 0?
-1, 0, 1
Let 7*j**3 + 11*j**2/2 - 3*j/2 = 0. Calculate j.
-1, 0, 3/14
Factor -3*s**2/2 - 1551*s/2.
-3*s*(s + 517)/2
What is h in -2*h**2/9 + 88*h/9 = 0?
0, 44
Factor 5*a**3 + 25*a**2 - 40*a - 240.
5*(a - 3)*(a + 4)**2
Factor d**2/3 - 350*d/3 + 30625/3.
(d - 175)**2/3
Factor 3*i**3 + 1707*i**2 + 241965*i - 243675.
3*(i - 1)*(i + 285)**2
Solve 4*k**4 - 152*k**3 + 608*k**2 + 1688*k + 924 = 0 for k.
-1, 7, 33
Factor 2*y**3/5 - 36*y**2/5 - 2*y/5 + 36/5.
2*(y - 18)*(y - 1)*(y + 1)/5
What is t in 2*t**3 - 120*t**2 + 118*t = 0?
0, 1, 59
Find f such that 2*f**5/7 - 24*f**4/7 + 24*f**3/7 + 740*f**2/7 - 3450*f/7 + 4500/7 = 0.
-6, 3, 5
Solve 4*k**5 - 60*k**4 - 4*k**3 + 60*k**2 = 0.
-1, 0, 1, 15
Factor -3*p**2/5 - 9*p/5 - 6/5.
-3*(p + 1)*(p + 2)/5
Factor -h**2/2 - 7*h/2 + 72.
-(h - 9)*(h + 16)/2
Factor -q**2/10 - 35*q - 6125/2.
-(q + 175)**2/10
Factor -2*f**2 - 54*f + 56.
-2*(f - 1)*(f + 28)
Solve -15*u**4 - 190*u**3 - 120*u**2 = 0.
-12, -2/3, 0
Factor 2*k**3/7 + 10*k**2 - 126*k + 810/7.
2*(k - 9)*(k - 1)*(k + 45)/7
Determine a, given that -4*a**3 - 1512*a**2 - 139812*a + 583696 = 0.
-191, 4
Factor 2*j**2/13 + 2306*j/13 - 2308/13.
2*(j - 1)*(j + 1154)/13
Factor n**2 - 9.
(n - 3)*(n + 3)
Factor 2*l**4 - 36*l**3 + 168*l**2 + 196*l - 2058.
2*(l - 7)**3*(l + 3)
Find n, given that -15*n**4 - 77*n**3 - 115*n**2 - 59*n - 6 = 0.
-3, -1, -2/15
Determine r so that -r**2/2 - 559*r/2 + 1126 = 0.
-563, 4
Solve -y**4/9 + 2*y**2 - 32*y/9 + 5/3 = 0 for y.
-5, 1, 3
Factor -5*z**5 - 45*z**4 - 145*z**3 - 215*z**2 - 150*z - 40.
-5*(z + 1)**3*(z + 2)*(z + 4)
Let 5*w**2 + 410*w - 415 = 0. What is w?
-83, 1
Factor 5*h**5/2 + 5*h**4 - 35*h**3/2 + 10*h**2.
5*h**2*(h - 1)**2*(h + 4)/2
What is i in -3*i**3 - 780*i**2 - 50700*i = 0?
-130, 0
Let -7*s**3/4 - 183*s**2/2 + 366*s + 112 = 0. Calculate s.
-56, -2/7, 4
Solve -2*g**5/3 - 100*g**4/3 - 1036*g**3/3 + 5296*g**2/3 - 2358*g + 972 = 0.
-27, 1, 2
Solve -4*s**5 - 388*s**4 - 9208*s**3 + 9992*s**2 + 9212*s - 9604 = 0 for s.
-49, -1, 1
What is u in -2*u**3/7 - 20*u**2/7 - 38*u/7 + 60/7 = 0?
-6, -5, 1
Let -b**2 + 160*b - 6400 = 0. What is b?
80
Find j such that -j**2/4 - 11*j/2 - 24 = 0.
-16, -6
Determine a, given that -a**2 + 724*a + 2181 = 0.
-3, 727
Let 5*s**2 - 5*s - 10 = 0. What is s?
-1, 2
Factor 27*q**5/4 + 567*q**4/2 + 3249*q**3 + 5762*q**2 + 3680*q + 800.
(q + 20)**2*(3*q + 2)**3/4
Solve -5*k**5 - 30*k**4 + 1235*k**3 = 0.
-19, 0, 13
Factor -2*s**2/9 - 34*s/3 + 440/9.
-2*(s - 4)*(s + 55)/9
Solve -31*v**3/6 - 200*v**2/3 + 473*v/6 - 7 = 0 for v.
-14, 3/31, 1
Factor u**2 - 38*u + 37.
(u - 37)*(u - 1)
Determine q, given that -2*q**4/11 - 14*q**3/11 + 60*q**2/11 - 8*q/11 - 80/11 = 0.
-10, -1, 2
Factor 4*q**3 + 104*q**2 - 4*q - 104.
4*(q - 1)*(q + 1)*(q + 26)
Solve 2*i**2/5 + 4976*i/5 + 3095072/5 = 0.
-1244
Factor -3*d**4 - 201*d**3 - 381*d**2 + 585*d.
-3*d*(d - 1)*(d + 3)*(d + 65)
What is z in -3*z**4 - 15*z**3 + 21*z**2 + 15*z - 18 = 0?
-6, -1, 1
Factor -g**2/2 - 532*g - 141512.
-(g + 532)**2/2
Factor t**3/2 - 47*t**2 - 96*t.
t*(t - 96)*(t + 2)/2
Suppose -3*t**5/4 + 3*t**4/2 + 3*t**3 - 3*t**2/2 - 9*t/4 = 0. What is t?
-1, 0, 1, 3
Factor -4*x**3 + 76*x**2 - 384*x + 576.
-4*(x - 12)*(x - 4)*(x - 3)
Let d**2/7 + 75*d/7 - 486/7 = 0. Calculate d.
-81, 6
Solve 2*c**5/3 - 2*c**4/3 - 40*c**3/3 = 0.
-4, 0, 5
Factor t**4/2 + 21*t**3/2 + 131*t**2/2 + 171*t/2 - 162.
(t - 1)*(t + 4)*(t + 9)**2/2
Find v such that -5*v**5 - 135*v**4 + 440*v**3 - 300*v**2 = 0.
-30, 0, 1, 2
Solve -x**3/4 - 2*x**2 + 5*x = 0.
-10, 0, 2
Factor -4*u**3 - 36*u**2 - 108*u - 108.
-4*(u + 3)**3
Factor 5*a**2 + 3170*a + 502445.
5*(a + 317)**2
Factor 2*t**3/15 - 98*t**2/15 + 230*t/3 + 250/3.
2*(t - 25)**2*(t + 1)/15
Factor 5*d**4 - 65*d**3 - 15*d**2 + 205*d - 130.
5*(d - 13)*(d - 1)**2*(d + 2)
Let -v**5/4 - 2*v**4 + 43*v**3/4 - 29*v**2/2 + 6*v = 0. Calculate v.
-12, 0, 1, 2
Let -2*o**3/11 - 14*o**2/11 + 48*o/11 + 360/11 = 0. Calculate o.
-6, 5
Factor -f**4/4 - f**3/2 + 3*f**2/4 + 2*f + 1.
-(f - 2)*(f + 1)**2*(f + 2)/4
Solve -7*q**5/2 + 173*q**4/2 - 265*q**3/2 - 265*q**2/2 + 136*q + 46 = 0 for q.
-1, -2/7, 1, 2, 23
Factor m**3/5 - 57*m**2/5 + 111*m/5 - 11.
(m - 55)*(m - 1)**2/5
Factor a**2/2 - 13*a/2 - 24.
(a - 16)*(a + 3)/2
Factor 5*n**2/3 + 290*n - 6335/3.
5*(n - 7)*(n + 181)/3
Determine o so 