**2 + 3472*f - 4 = 0.
1/434
Determine p, given that 3*p**4 + 27*p**3 - 306*p**2 + 480*p = 0.
-16, 0, 2, 5
Factor -4*b**3 + 12*b**2 - 16.
-4*(b - 2)**2*(b + 1)
Factor -32*n**5/7 + 80*n**4/7 - 50*n**3/7 - 10*n**2/7 + 10*n/7 + 2/7.
-2*(n - 1)**3*(4*n + 1)**2/7
Determine i so that 4*i**2 + 28*i - 72 = 0.
-9, 2
Factor 26*y**3/7 + 144*y**2/7 + 162*y/7 - 108/7.
2*(y + 3)**2*(13*y - 6)/7
Let 3*b**2 - 750*b + 747 = 0. What is b?
1, 249
Determine h, given that -49*h**2/2 - 293*h/4 + 3/4 = 0.
-3, 1/98
Factor -d**2/5 - 38*d - 376/5.
-(d + 2)*(d + 188)/5
Suppose -3*x**4/2 + 6*x**3 + 9*x**2/2 - 15*x - 12 = 0. What is x?
-1, 2, 4
Factor -961*y**4 + 2666*y**3 - 2593*y**2 + 1032*y - 144.
-(y - 1)**2*(31*y - 12)**2
Suppose 3*s**4 + 9*s**3 - 36*s**2 - 156*s - 144 = 0. What is s?
-3, -2, 4
Find z such that 4*z**4 + 48*z**3 + 156*z**2 + 112*z = 0.
-7, -4, -1, 0
Solve -2*b**5 - 16*b**4 + 22*b**3 + 36*b**2 = 0.
-9, -1, 0, 2
Factor t**3/10 + 123*t**2/10 - 1869*t/10 + 6713/10.
(t - 7)**2*(t + 137)/10
Find g, given that -2*g**2/11 - 1640*g/11 - 336200/11 = 0.
-410
Determine f so that -2*f**4 + 42*f**3/5 - 34*f**2/5 - 42*f/5 + 44/5 = 0.
-1, 1, 2, 11/5
Suppose -p**4/3 + p**3/3 + 3*p**2 - 3*p = 0. Calculate p.
-3, 0, 1, 3
Factor 2*v**3/9 - 38*v**2/3.
2*v**2*(v - 57)/9
Let 2*s**3 + 8*s**2 + 8*s = 0. Calculate s.
-2, 0
Factor -4*d**5 - 40*d**4 + 80*d**3 + 800*d**2 - 2560*d + 2048.
-4*(d - 2)**3*(d + 8)**2
Find f, given that -12*f**4 + 80*f**3 - 36*f**2 - 80*f + 48 = 0.
-1, 2/3, 1, 6
Determine t, given that t**5/4 + t**4 - 11*t**3/4 - 13*t**2/2 + 16*t - 8 = 0.
-4, 1, 2
Factor -3*s**3/4 - 93*s**2/4 - 150*s - 276.
-3*(s + 4)**2*(s + 23)/4
Let 4*o**3 + 64*o**2 = 0. Calculate o.
-16, 0
Factor -12*o**4 - 33*o**3 + 57*o**2 - 12*o.
-3*o*(o - 1)*(o + 4)*(4*o - 1)
Factor w**3/3 - 691*w**2 + 477481*w - 329939371/3.
(w - 691)**3/3
Solve -3*j**4 + 393*j**3 + 13590*j**2 + 141900*j + 483000 = 0.
-10, 161
Factor 4*w**3 - 40*w**2 - 4*w + 40.
4*(w - 10)*(w - 1)*(w + 1)
Solve -3*q**3/5 + 96*q**2/5 - 699*q/5 - 798/5 = 0.
-1, 14, 19
What is b in 2*b**5/7 - 2*b**4 + 22*b**3/7 + 38*b**2/7 - 120*b/7 + 72/7 = 0?
-2, 1, 2, 3
What is b in 5*b**2 + 340*b + 1280 = 0?
-64, -4
Factor 15*h**2/4 + 519*h/4 + 198.
3*(h + 33)*(5*h + 8)/4
Factor 2*o**2/5 - 232*o/5 + 6728/5.
2*(o - 58)**2/5
Let 8*i**3/9 - 8*i**2/3 - 14*i + 392/9 = 0. Calculate i.
-4, 7/2
Factor h**2/4 - 5*h/4 - 63/2.
(h - 14)*(h + 9)/4
Determine v, given that 2*v**4/3 - 416*v**3/3 + 7604*v**2 - 119584*v/3 - 142814/3 = 0.
-1, 7, 101
Factor -15*o**2 + 280*o - 180.
-5*(o - 18)*(3*o - 2)
Factor -n**2/6 - 403*n/6 + 202/3.
-(n - 1)*(n + 404)/6
Let 3*v**3/2 - 33*v**2 + 144*v + 432 = 0. Calculate v.
-2, 12
Find l, given that 2*l**2/3 - 128*l/3 + 2048/3 = 0.
32
Determine u so that -u**4/5 + 27*u**3/5 - 36*u**2 = 0.
0, 12, 15
Determine h so that -5*h**2 + 705*h + 2900 = 0.
-4, 145
What is n in 5*n**2/6 - 17*n/2 + 5/3 = 0?
1/5, 10
Factor q**2 + 7*q - 8.
(q - 1)*(q + 8)
What is l in -9*l**4 - 69*l**3 - 33*l**2 + 69*l + 42 = 0?
-7, -1, -2/3, 1
Factor -5*j**4 + 80*j**3 - 360*j**2 + 2160.
-5*(j - 6)**3*(j + 2)
Factor -100*n**3 - 32180*n**2 - 25696*n - 5136.
-4*(n + 321)*(5*n + 2)**2
Factor -a**4 - 6*a**3 - 8*a**2 + 6*a + 9.
-(a - 1)*(a + 1)*(a + 3)**2
Factor 3*a**2 + 25614*a + 54673083.
3*(a + 4269)**2
Find u, given that -4*u**4 + 98*u**3 - 624*u**2 + 288*u = 0.
0, 1/2, 12
Solve -c**5 - 3*c**4 - c**3 + 3*c**2 + 2*c = 0.
-2, -1, 0, 1
Find l such that 5*l**3 - 29235*l**2 + 56979015*l - 37017366745 = 0.
1949
Factor t**5/7 - t**4/7 - 15*t**3/7 - 23*t**2/7 - 10*t/7.
t*(t - 5)*(t + 1)**2*(t + 2)/7
Suppose 3*o**2 + 62*o/5 + 8/5 = 0. Calculate o.
-4, -2/15
Solve -5*z**4 - 2500*z**3 - 314990*z**2 - 622500*z - 310005 = 0 for z.
-249, -1
Factor y**3/5 + 1023*y**2 + 1744215*y + 991295525.
(y + 1705)**3/5
Suppose 5*g**5/2 - 105*g**4/4 + 265*g**3/4 - 30*g**2 - 35*g = 0. Calculate g.
-1/2, 0, 2, 7
Factor 2*g**4 - 20*g**3 - 2*g**2 + 20*g.
2*g*(g - 10)*(g - 1)*(g + 1)
Factor -2*n**4/3 - 8*n**3/3 - 4*n**2 - 8*n/3 - 2/3.
-2*(n + 1)**4/3
Let z**3/5 + 34*z**2/5 + 13*z + 32/5 = 0. What is z?
-32, -1
Factor m**2/6 + m/2 - 2/3.
(m - 1)*(m + 4)/6
Determine a so that -28*a**5 - 244*a**4 + 492*a**3 + 1364*a**2 + 416*a - 240 = 0.
-10, -1, 2/7, 3
Suppose -2*f**3/5 - 8*f**2/5 - 8*f/5 = 0. Calculate f.
-2, 0
Solve 4*y**4 - 268*y**3 + 2288*y**2 + 79360*y + 76800 = 0.
-12, -1, 40
Find x, given that x**2/4 - 41*x/2 - 623/4 = 0.
-7, 89
Determine l so that -5*l**4 - 60*l**3 - 175*l**2 - 120*l = 0.
-8, -3, -1, 0
Factor -5*k**2 + 110*k + 240.
-5*(k - 24)*(k + 2)
Factor d**2/2 - 24*d - 49/2.
(d - 49)*(d + 1)/2
Solve -2*a**5/3 + 32*a**4/3 - 176*a**3/3 + 128*a**2 - 96*a = 0.
0, 2, 6
Factor 4*k**3 - 13332*k**2 + 14811852*k - 5485322524.
4*(k - 1111)**3
Find s, given that 70*s**2 + 35435*s - 10130 = 0.
-1013/2, 2/7
What is o in 3*o**2 + 120*o + 1200 = 0?
-20
Let 192*y**4/11 + 640*y**3/11 + 124*y**2/11 - 194*y/11 + 30/11 = 0. Calculate y.
-3, -5/6, 1/4
Find v such that 3*v**2 + 12414*v + 12842283 = 0.
-2069
Factor 16*i**2 + 14*i - 2.
2*(i + 1)*(8*i - 1)
Factor 3*r**3/8 + 69*r**2/2 + 7623*r/8 + 33075/4.
3*(r + 21)**2*(r + 50)/8
Determine z so that -2*z**3/3 + 20*z**2/3 = 0.
0, 10
Find r such that 3*r**5 - 26*r**4 - 21*r**3 + 464*r**2 - 276*r - 144 = 0.
-4, -1/3, 1, 6
Factor -2*m**2/9 - 26*m/9 - 20/3.
-2*(m + 3)*(m + 10)/9
Factor -21*n**3/8 - 141*n**2/8 - 21*n + 15/2.
-3*(n + 2)*(n + 5)*(7*n - 2)/8
Solve -5*n**3 - 1130*n**2 - 53845*n + 1171280 = 0.
-121, 16
What is o in -2*o**3/9 - 428*o**2/9 + 862*o/9 - 48 = 0?
-216, 1
Suppose -9*a**3/8 - 125*a**2/4 - 103*a/2 + 13 = 0. Calculate a.
-26, -2, 2/9
Solve 2*u**4/3 + 128*u**3/3 - 704*u**2 - 133120*u/3 + 2163200/3 = 0 for u.
-52, 20
Factor 6*v**3/7 - 45*v**2/7 - 24*v/7.
3*v*(v - 8)*(2*v + 1)/7
Factor -v**4/3 + 5*v**3/3 - v**2 - 3*v.
-v*(v - 3)**2*(v + 1)/3
Let 3*t**3/5 - 84*t**2/5 - 87*t/5 = 0. What is t?
-1, 0, 29
Let -2*d**2 + 500*d - 31250 = 0. What is d?
125
Determine f, given that 2*f**3/19 + 102*f**2/19 - 2*f/19 - 102/19 = 0.
-51, -1, 1
Solve 5*s**3 - 1975*s**2 + 7840*s - 7820 = 0 for s.
2, 391
Suppose -3*v**2 - 81*v = 0. Calculate v.
-27, 0
Find i, given that 16*i**4/5 - 116*i**3/5 + 44*i**2 - 48*i/5 = 0.
0, 1/4, 3, 4
Factor -5000*g**4/3 + 2650*g**3 + 456*g**2 + 56*g/3.
-2*g*(4*g - 7)*(25*g + 2)**2/3
Factor h**3/4 - 151*h**2/4 + 1876*h - 30576.
(h - 56)**2*(h - 39)/4
Factor 3*f**2 + 222*f - 693.
3*(f - 3)*(f + 77)
Let 3698*n**3/9 - 32938*n**2/9 - 3088*n/9 - 8 = 0. Calculate n.
-2/43, 9
Let -3*a**2 + 1206*a - 2400 = 0. Calculate a.
2, 400
Find x such that -4*x**5/3 + 4*x**4/3 + 8*x**3 = 0.
-2, 0, 3
What is p in 50*p**4 + 20*p**3 - 198*p**2 - 80*p - 8 = 0?
-2, -1/5, 2
Determine d, given that -2*d**2/7 - 2*d/7 + 16 = 0.
-8, 7
Factor 5*y**3 - 85*y**2 - 400*y - 420.
5*(y - 21)*(y + 2)**2
Determine l so that -3*l**3/4 - 6813*l**2/4 - 5157441*l/4 - 1301394279/4 = 0.
-757
Factor -2*v**4/9 - 22*v**3/9.
-2*v**3*(v + 11)/9
Let -4*m**4/3 - 164*m**3/3 - 884*m**2/3 - 1564*m/3 - 280 = 0. Calculate m.
-35, -3, -2, -1
Find r, given that -3*r**5/2 - 3*r**4/2 + 9*r**3/2 + 15*r**2/2 + 3*r = 0.
-1, 0, 2
Suppose z**5/4 + 5*z**4/4 - z**3/2 - 21*z**2/2 - 63*z/4 - 27/4 = 0. What is z?
-3, -1, 3
Factor 2*f**2 - 48*f + 256.
2*(f - 16)*(f - 8)
What is i in -2*i**4 - 4*i**3 + 14*i**2 + 16*i - 24 = 0?
-3, -2, 1, 2
Let 20*x**4 + 58*x**3 + 56*x**2 + 18*x = 0. Calculate x.
-1, -9/10, 0
Suppose -d**3/10 - 303*d**2/5 - 61206*d/5 - 4121204/5 = 0. What is d?
-202
Suppose 2*v**4 + 10*v**3 - 26*v**2 + 14*v = 0. What is v?
-7, 0, 1
Determine o, given that 2*o**3 + 14*o**2 - 34*o + 18 = 0.
-9, 1
Factor -b**2 + 2*b.
-b*(b - 2)
Suppose 3*i**2/7 - 33*i/7 + 54/7 = 0. Calculate i.
2, 9
Factor 2*f**2 + 121*f/2 + 15.
(f + 30)*(4*f + 1)/2
Solve -54*k**4 + 3024*k**3 + 3060*k**2 + 1024*k + 114 = 0 for k.
-1/3, 57
What is q in -28*q**3/5 + 736*q**2 + 5876*q/5 - 3192/5 = 0?
-2, 3/7, 133
Determine u, given that u**3/3 - u**2 - 8*u + 80/3 = 0.
-5, 4
Let -5*c**3/4 + 20*c**2 + 75*c - 540 = 0. Calculate c.
-6, 4, 18
Find u such that -3*u**2 + 1143*u - 4524 = 0.
4, 377
Let -420*c**3 + 533*c**2 - 111*c - 2 = 0. Calculate c.
-1/60, 2/7, 1
Find l such that 196*l**4 - 6188*l**3 + 9368*l**2 - 3856*l + 480 = 0.
2/7, 1, 30
What is y in -27*y**4 + 60*y**3 + 15*y**2 - 60*y + 12 = 0?
-1, 2/9, 1, 2
Find g, given that