such that -2*y**3/7 + 12*y**2/7 - 18*y/7 + 8/7 = 0.
1, 4
Find n, given that 4*n**2/3 + 256*n - 16036/3 = 0.
-211, 19
Determine x, given that x**5/9 + 4*x**4/9 - 19*x**3/9 - 106*x**2/9 - 40*x/3 = 0.
-4, -3, -2, 0, 5
Suppose o**2/7 - o + 10/7 = 0. Calculate o.
2, 5
Find h, given that -5*h**3 - 495*h**2 - 6195*h - 20825 = 0.
-85, -7
Factor 3*h**2 + 201*h + 576.
3*(h + 3)*(h + 64)
Factor -i**2/6 + 169*i/6 - 314.
-(i - 157)*(i - 12)/6
Determine y, given that 4*y**3 - 28*y - 24 = 0.
-2, -1, 3
Factor 2*v**2/5 + 58*v/5 - 504/5.
2*(v - 7)*(v + 36)/5
Determine g, given that g**5 + g**4 - 23*g**3 - 5*g**2 + 58*g + 40 = 0.
-5, -1, 2, 4
Factor u**5/4 - 3*u**4/4 + u**3/4 + 3*u**2/4 - u/2.
u*(u - 2)*(u - 1)**2*(u + 1)/4
Factor 3*n**4/2 - 9*n**3/2 - 15*n**2/2 + 9*n/2 + 6.
3*(n - 4)*(n - 1)*(n + 1)**2/2
Factor -6*r**4 - 44*r**3 + 32*r**2.
-2*r**2*(r + 8)*(3*r - 2)
Solve -21*l**3 + 6*l**2 + 21*l - 6 = 0.
-1, 2/7, 1
Determine m so that 3*m**5 - 21*m**4 + 3*m**3 + 141*m**2 - 6*m - 120 = 0.
-2, -1, 1, 4, 5
Factor y**2 + 29*y - 210.
(y - 6)*(y + 35)
Factor 80*p**3 + 88680*p**2 + 24663885*p + 48973690.
5*(p + 2)*(4*p + 2213)**2
Factor 4*r**3/5 - 9*r**2/10 - 3*r/5 + 7/10.
(r - 1)**2*(8*r + 7)/10
Factor 3*c**3 + 217*c**2 - 146*c.
c*(c + 73)*(3*c - 2)
Factor 2*s**2 + 76*s.
2*s*(s + 38)
Suppose 3*y**3 - 21*y**2 - 258*y - 504 = 0. What is y?
-4, -3, 14
Factor -w**3/2 + 15*w**2/2 + 144*w - 2176.
-(w - 16)**2*(w + 17)/2
Factor -5*g**2 - 35*g - 50.
-5*(g + 2)*(g + 5)
Factor u**5/2 + 2*u**4 - 39*u**3/2 + 29*u**2 + 14*u - 36.
(u - 2)**3*(u + 1)*(u + 9)/2
Factor -5*d**4 + 55*d**3 - 150*d**2.
-5*d**2*(d - 6)*(d - 5)
Factor 78*l**2/5 - 16*l + 2/5.
2*(l - 1)*(39*l - 1)/5
Suppose 4*j**4 - 48*j**3 + 76*j**2 + 48*j - 80 = 0. What is j?
-1, 1, 2, 10
Find k, given that -2*k**5 - 547*k**4 - 545*k**3 = 0.
-545/2, -1, 0
Find s, given that -s**2/8 + 33*s/4 = 0.
0, 66
Factor 3*t**4/4 + 234*t**3 + 27378*t**2 + 1423656*t + 27761292.
3*(t + 78)**4/4
Suppose -4*r**2 - 100*r + 104 = 0. What is r?
-26, 1
Factor 2*h**3 - 6*h**2.
2*h**2*(h - 3)
Solve -90*b**5/7 + 542*b**4/7 - 12*b**3/7 = 0 for b.
0, 1/45, 6
Factor 7*k**5/6 - 5*k**4 + 4*k**3/3.
k**3*(k - 4)*(7*k - 2)/6
Suppose -2*u**4/9 + 22*u**3/9 + 4*u**2/9 - 80*u/3 = 0. Calculate u.
-3, 0, 4, 10
Determine c so that -2*c**5/7 - 12*c**4/7 - 16*c**3/7 + 12*c**2/7 + 18*c/7 = 0.
-3, -1, 0, 1
Let -2*u**3/5 - 4*u**2 + 74*u/5 - 52/5 = 0. What is u?
-13, 1, 2
Suppose -5*j**4 - 65*j**3 + 5*j**2 + 65*j = 0. What is j?
-13, -1, 0, 1
Determine u, given that 2*u**4 + 14*u**3 + 16*u**2 - 32*u = 0.
-4, 0, 1
Factor v**2/6 + 1808*v/3 - 3617/6.
(v - 1)*(v + 3617)/6
Factor 3*s**3 + 198*s**2 - 1317*s - 1512.
3*(s - 7)*(s + 1)*(s + 72)
Suppose -3*r**5/2 + 45*r**4 = 0. What is r?
0, 30
Factor -9*d**3/5 - 3*d**2/5 + 6*d/5.
-3*d*(d + 1)*(3*d - 2)/5
Factor -2*n**2/3 - 36*n - 486.
-2*(n + 27)**2/3
Factor -3*j**3/2 + 519*j**2/2 + 261*j.
-3*j*(j - 174)*(j + 1)/2
Factor -3*t**3/2 + 447*t**2/2 + 228*t - 450.
-3*(t - 150)*(t - 1)*(t + 2)/2
Factor -4*i**4 + 29*i**3/2 - 10*i**2 - 6*i.
-i*(i - 2)**2*(8*i + 3)/2
Determine t, given that 324*t**3 - 9360*t**2 + 8128*t - 1792 = 0.
4/9, 28
Solve -4*f**3 + 168*f**2 + 1636*f - 1800 = 0.
-9, 1, 50
Let 5*h**5 + 10*h**4 - 280*h**3 - 290*h**2 + 275*h + 280 = 0. Calculate h.
-8, -1, 1, 7
Factor -2*v**2 + 334*v - 984.
-2*(v - 164)*(v - 3)
Let -t**4/8 + 13*t**3/8 - 63*t**2/8 + 135*t/8 - 27/2 = 0. What is t?
3, 4
Factor z**4 + 9*z**3 + 21*z**2 + 19*z + 6.
(z + 1)**3*(z + 6)
Factor 3*y**3 + 4*y**2 + y.
y*(y + 1)*(3*y + 1)
Solve 5*f**4/11 + f**3/11 - 20*f**2/11 - 4*f/11 = 0.
-2, -1/5, 0, 2
Determine b so that -3*b**2 - 33*b + 306 = 0.
-17, 6
Factor -x**4/7 - 13*x**3/7 - 41*x**2/7 - 47*x/7 - 18/7.
-(x + 1)**2*(x + 2)*(x + 9)/7
Suppose -k**3 - 947*k**2/3 + 2224*k/3 - 212 = 0. Calculate k.
-318, 1/3, 2
Factor 3*v**5/5 + 3*v**4 + 18*v**3/5 - 6*v**2/5 - 21*v/5 - 9/5.
3*(v - 1)*(v + 1)**3*(v + 3)/5
Determine w, given that -8*w**4/5 - 2186*w**3/5 - 152826*w**2/5 - 95094*w - 21870 = 0.
-135, -3, -1/4
Factor -4*m**4 - 608*m**3 + 612*m**2.
-4*m**2*(m - 1)*(m + 153)
Factor 3*a**2/2 - 75*a/2 + 69.
3*(a - 23)*(a - 2)/2
Determine f so that -3*f**3/4 - 639*f**2/4 - 45369*f/4 - 1073733/4 = 0.
-71
Factor 5*h**4 - 80*h**3 + 225*h**2 + 810*h.
5*h*(h - 9)**2*(h + 2)
Suppose -m**2/6 + 11*m - 63/2 = 0. What is m?
3, 63
Determine u so that -u**5/4 - 183*u**4/4 - 8093*u**3/4 + 25575*u**2/4 - 8649*u/2 = 0.
-93, 0, 1, 2
Factor 15*h**3 + 665*h**2 + 2620*h + 800.
5*(h + 4)*(h + 40)*(3*h + 1)
Find j such that -4*j**2 - 632*j + 636 = 0.
-159, 1
Factor -3*s**3/5 + 252*s**2/5 - 492*s/5.
-3*s*(s - 82)*(s - 2)/5
Solve -4*t**5 - 40*t**4 - 116*t**3 - 128*t**2 - 48*t = 0 for t.
-6, -2, -1, 0
Solve b**4/2 - b**3/2 - 45*b**2/2 - 83*b/2 - 20 = 0.
-5, -1, 8
Find g such that -g**5 - 6*g**4 - 12*g**3 - 10*g**2 - 3*g = 0.
-3, -1, 0
Factor -5*t**3 + 1260*t**2 + 5105*t + 3840.
-5*(t - 256)*(t + 1)*(t + 3)
Find x, given that 4*x**5 + 68*x**4 - 152*x**3 + 8*x**2 + 148*x - 76 = 0.
-19, -1, 1
Factor -5*l**5 + 85*l**4 - 400*l**3 + 320*l**2.
-5*l**2*(l - 8)**2*(l - 1)
Find t such that -3*t**4/4 - 63*t**3/4 + 234*t**2 - 924*t + 1152 = 0.
-32, 3, 4
Factor 2*u**5/11 - 74*u**4/11 - 2496*u**3/11 - 24624*u**2/11 - 102816*u/11 - 158112/11.
2*(u - 61)*(u + 6)**4/11
Suppose 35*k**2 - 48*k = 0. Calculate k.
0, 48/35
Solve -2*o**3/11 + 46*o**2/11 - 40*o/11 - 8 = 0 for o.
-1, 2, 22
Factor 3*k**4 + 19*k**3 - 38*k**2 + 16*k.
k*(k - 1)*(k + 8)*(3*k - 2)
Suppose v**3 - 53*v**2 - 168*v = 0. Calculate v.
-3, 0, 56
Factor 28*s**2/3 + 10*s + 2/3.
2*(s + 1)*(14*s + 1)/3
Factor 3*o**3 - 315*o**2 + 621*o - 309.
3*(o - 103)*(o - 1)**2
Determine s so that 2*s**5/7 + 2*s**4 - 2*s**3 - 158*s**2/7 + 12*s/7 + 144/7 = 0.
-6, -4, -1, 1, 3
Factor m**4/6 + 71*m**3/3 - 883*m**2/6 + 370*m/3.
m*(m - 5)*(m - 1)*(m + 148)/6
Find m such that -6*m**5/11 - 192*m**4/11 - 1872*m**3/11 - 5376*m**2/11 - 4704*m/11 = 0.
-14, -2, 0
Solve 3*x**2 - 417*x + 822 = 0.
2, 137
Let g**2/2 - 8*g + 24 = 0. Calculate g.
4, 12
Factor -5*t**2 + 55*t.
-5*t*(t - 11)
Determine v, given that v**2/3 - 40*v/3 + 400/3 = 0.
20
Suppose -34*o**2/3 + 482*o/3 - 28 = 0. Calculate o.
3/17, 14
Factor 5*x**4/2 - 70*x**3 - 10*x**2 + 280*x.
5*x*(x - 28)*(x - 2)*(x + 2)/2
Suppose -448*t**5 + 2784*t**4 - 316*t**3 - 1476*t**2 - 496*t - 48 = 0. Calculate t.
-2/7, -1/4, 1, 6
What is g in -g**2/3 + 4*g + 64/3 = 0?
-4, 16
Let 2*x**4 + 4*x**3 - 26*x**2 + 20*x = 0. Calculate x.
-5, 0, 1, 2
Factor 3*t**4/5 - 63*t**3/5 + 411*t**2/5 - 837*t/5 + 486/5.
3*(t - 9)**2*(t - 2)*(t - 1)/5
Solve 815*v**2 + 632*v - 16 = 0.
-4/5, 4/163
What is t in -t**3 + 17*t**2 - 42*t = 0?
0, 3, 14
Factor -3*v**5/2 - 3*v**4 + 9*v**3/2.
-3*v**3*(v - 1)*(v + 3)/2
Factor f**2 - 6*f.
f*(f - 6)
Factor 2*l**2/5 + 456*l/5 + 270.
2*(l + 3)*(l + 225)/5
Find w, given that 2*w**5/13 - 10*w**4/13 + 80*w**2/13 - 160*w/13 + 96/13 = 0.
-3, 2
Factor 3*d**3/8 + 405*d**2/8 + 1575*d - 18375/2.
3*(d - 5)*(d + 70)**2/8
Factor -2*r**3 + 50*r**2 - 336*r + 288.
-2*(r - 12)**2*(r - 1)
Find w, given that 10*w**5/9 + 122*w**4/9 - 274*w**3/9 - 3434*w**2/9 + 3592*w/3 - 704 = 0.
-11, -8, 4/5, 3
Suppose -4*r**4 + 56*r**3 + 60*r**2 = 0. What is r?
-1, 0, 15
Let -2*u**2/11 - 100*u/11 - 98/11 = 0. Calculate u.
-49, -1
What is m in 2*m**3/19 - 2*m/19 = 0?
-1, 0, 1
Factor -3*m**2/7 - 18*m + 864/7.
-3*(m - 6)*(m + 48)/7
Factor 4*u**5 + 36*u**4 + 52*u**3 - 180*u**2 - 200*u.
4*u*(u - 2)*(u + 1)*(u + 5)**2
Factor 2*w**5 + 388*w**4 + 1528*w**3 + 1520*w**2.
2*w**2*(w + 2)**2*(w + 190)
Find i, given that -3*i**2 + 123*i = 0.
0, 41
Let 3*w**3 - 132*w**2 - 135*w = 0. What is w?
-1, 0, 45
What is d in 8*d**3 + 2216*d**2 + 2210*d + 552 = 0?
-276, -1/2
Suppose l**4/4 - 5*l**3/2 - 51*l**2/4 + 82*l + 308 = 0. What is l?
-4, 7, 11
Factor 8*l**2/7 - 130*l - 228/7.
2*(l - 114)*(4*l + 1)/7
Suppose 2*g**3 + 78*g**2 + 798*g + 2450 = 0. What is g?
-25, -7
Factor 2*o**4/13 - 10*o**3/13 + 18*o**2/13 - 14*o/13 + 4/13.
2*(o - 2)*(o - 1)**3/13
Solve -i**2/3 + 418*i/3 + 280 = 0 for i.
-2, 420
Factor -2*s**2 + 14*s - 12.
-2*(s - 6)*(s - 1)
Factor h**2/5 + 4*h - 44/5.
(h - 2)*(h + 22)/5
Find f, given that -6*f**3 + 350*f**2 + 706*f/3 + 118/3 = 0.
-1/3, 59
Let d**3/7 + 2*d**2/7 - 32*d/7 - 96/7 = 0. What is d?
-4, 6
Let 3*v**4 - 192*v**3 + 186*v**2 + 192*v - 189 = 0. What