)
Solve 15*f**4/2 - 33*f**3/2 - 99*f**2/2 - 39*f/2 + 6 = 0 for f.
-1, 1/5, 4
Find u such that 60*u**5 + 155*u**4 - 1585*u**3 + 1855*u**2 - 275*u - 210 = 0.
-7, -1/4, 2/3, 1, 3
Let 5*m**5 + 5*m**4 - 25*m**3 - 5*m**2 + 40*m - 20 = 0. Calculate m.
-2, 1
Factor o**3/4 - 43*o**2/4 - 11*o.
o*(o - 44)*(o + 1)/4
Determine n so that n**3/2 + 43*n**2/2 = 0.
-43, 0
Factor 2*s**2/9 - 10*s/3 - 992/9.
2*(s - 31)*(s + 16)/9
Factor -3*q**3/2 + 612*q**2 + 1227*q/2.
-3*q*(q - 409)*(q + 1)/2
Factor 2*i**4/5 + 22*i**3/5 + 16*i**2 + 96*i/5.
2*i*(i + 3)*(i + 4)**2/5
Find t such that 2*t**2 + 30706*t/7 + 8772/7 = 0.
-2193, -2/7
Factor 4*l**3 + 44*l**2 + 72*l.
4*l*(l + 2)*(l + 9)
Factor 4*j**5/3 + 4*j**4.
4*j**4*(j + 3)/3
Find d, given that 2*d**2/7 - 12*d/7 = 0.
0, 6
Factor -3*k**5/2 + 15*k**4/2 + 27*k**3/2 - 243*k**2/2 + 162*k.
-3*k*(k - 3)**3*(k + 4)/2
Let -4*p**3 - 20*p**2 = 0. What is p?
-5, 0
What is m in -3*m**4/2 + 39*m**3/2 + 87*m**2/2 + 45*m/2 = 0?
-1, 0, 15
Factor w**3/3 + 94*w**2/3 + 364*w/3 + 120.
(w + 2)**2*(w + 90)/3
Solve 4*h**3 - 24*h**2 - 100*h - 72 = 0 for h.
-2, -1, 9
Factor 2*l**2/23 - 3728*l/23 + 1737248/23.
2*(l - 932)**2/23
Factor 3*z**2/5 - 459*z/5 + 2646/5.
3*(z - 147)*(z - 6)/5
Suppose -4*f**4 + 5*f**3 + 35*f**2 - 45*f + 9 = 0. Calculate f.
-3, 1/4, 1, 3
Factor -147*k**4 - 5649*k**3 + 3264*k**2 - 468*k.
-3*k*(k + 39)*(7*k - 2)**2
Factor 27*n**3 + 33*n**2 - 318*n - 72.
3*(n - 3)*(n + 4)*(9*n + 2)
Factor 2*h**2/9 - 14*h/9 - 460/3.
2*(h - 30)*(h + 23)/9
Determine g so that -14*g**3 - 118*g**2 - 146*g - 42 = 0.
-7, -1, -3/7
Find o, given that -12*o**4 - 128*o**3 - 380*o**2 - 200*o = 0.
-5, -2/3, 0
Find c such that -3*c**2/4 - 813*c - 220323 = 0.
-542
Solve -2*g**5/7 + 32*g**4/7 + 340*g**3/7 + 144*g**2 + 162*g + 432/7 = 0 for g.
-3, -1, 24
Solve 5*z**2 + 115*z - 390 = 0 for z.
-26, 3
Let -3*s**3 + 18*s**2 - 27*s + 12 = 0. What is s?
1, 4
Suppose 2*w**4/7 + 13556*w**3/7 + 30618480*w**2/7 + 3289294400*w - 46172704000/7 = 0. Calculate w.
-2260, 2
Suppose 6*w**2/7 + 118*w/7 - 40/7 = 0. Calculate w.
-20, 1/3
Factor -10*v**4/3 - 22*v**3/3 - 14*v**2/3 - 2*v/3.
-2*v*(v + 1)**2*(5*v + 1)/3
Suppose -3*j**2 - 288*j - 6912 = 0. What is j?
-48
Find l such that -3*l**3 + 189*l**2 + 192*l = 0.
-1, 0, 64
Let c**5/4 - c**4/4 - 81*c**3/2 + 184*c**2 + 224*c = 0. What is c?
-14, -1, 0, 8
Factor -5*y**3 - 290*y**2 + 1220*y - 1240.
-5*(y - 2)**2*(y + 62)
Factor 18*r**5 + 285*r**4 + 1248*r**3 - 216*r**2 - 7776*r + 1296.
3*(r - 2)*(r + 6)**3*(6*r - 1)
Let 2*w**5/17 + 94*w**4/17 + 1704*w**3/17 + 864*w**2 + 3456*w + 82944/17 = 0. Calculate w.
-12, -8, -3
What is n in 3*n**5 + 44*n**4 - 101*n**3 - 2198*n**2 + 2948*n + 2904 = 0?
-11, -2/3, 2, 6
What is l in -3*l**4/7 + 87*l**3/7 - 741*l**2/7 + 1521*l/7 = 0?
0, 3, 13
Find o such that 2*o**2/7 + 44*o/7 - 46/7 = 0.
-23, 1
Suppose -l**5/8 - 327*l**4/8 - 81*l**3/2 + 163*l**2/2 = 0. Calculate l.
-326, -2, 0, 1
Find d such that 3*d**5/8 + 3*d**4 + 21*d**3/8 = 0.
-7, -1, 0
Solve 6*g**4/11 + 84*g**3/11 - 6*g**2/11 - 84*g/11 = 0 for g.
-14, -1, 0, 1
Solve 40*m**3/3 - 92*m**2/3 + 64*m/3 - 4 = 0.
3/10, 1
Solve 5*z**4 - 35*z**3 - 15*z**2 + 115*z - 70 = 0.
-2, 1, 7
Suppose 4*g**3 + 48*g**2 + 140*g + 96 = 0. What is g?
-8, -3, -1
Determine g, given that -18*g**5/13 + 6*g**4 + 58*g**3/13 + 10*g**2/13 = 0.
-1/3, 0, 5
Determine d so that 3*d**3 - 33*d**2/7 + 3*d/7 + 9/7 = 0.
-3/7, 1
Determine o so that -8495442*o**4/7 + 5638896*o**3/7 - 927468*o**2/7 - 2736*o/7 - 2/7 = 0.
-1/687, 1/3
Factor q**4/2 - q**3/4 - 3*q**2/4 + q/4 + 1/4.
(q - 1)**2*(q + 1)*(2*q + 1)/4
Factor -x**5 - x**4 + 11*x**3 + 29*x**2 + 26*x + 8.
-(x - 4)*(x + 1)**3*(x + 2)
Factor 18*r**4 - 1478*r**3 + 3044*r**2 - 320*r.
2*r*(r - 80)*(r - 2)*(9*r - 1)
Determine i, given that -2*i**4/9 - 4*i**3/9 + 64*i**2/9 - 20*i/3 - 14 = 0.
-7, -1, 3
Suppose -9*x**4 + 110*x**3 - 123*x**2 + 22*x = 0. What is x?
0, 2/9, 1, 11
Determine g so that -2*g**5/17 - 2*g**4/17 = 0.
-1, 0
Factor -3*y**2 - 15*y + 18.
-3*(y - 1)*(y + 6)
Factor -3*d**3 - 867*d**2 - 3432*d - 3420.
-3*(d + 2)**2*(d + 285)
Determine q so that -2*q**4 - 10*q**3 - 16*q**2 - 8*q = 0.
-2, -1, 0
Suppose g**5/4 - 7*g**4/2 - 37*g**3/2 + 6*g**2 + 225*g/4 - 81/2 = 0. Calculate g.
-3, 1, 18
Determine y, given that -9*y**4/5 - 42*y**3/5 - 33*y**2/5 + 48*y/5 + 36/5 = 0.
-3, -2, -2/3, 1
Let -5*u**5 - 5*u**4 + 30*u**3 + 20*u**2 - 40*u = 0. What is u?
-2, 0, 1, 2
Factor -5*o**3 - 9110*o**2 - 4149605*o.
-5*o*(o + 911)**2
Determine g so that 2*g**3 - 62*g**2 + 172*g - 112 = 0.
1, 2, 28
Suppose 5*h**3 - 60*h**2 + 105*h - 50 = 0. What is h?
1, 10
Determine r so that 27*r**4 - 78*r**3 - 9*r**2 + 108*r + 12 = 0.
-1, -1/9, 2
Find q such that 4*q**2 - 4164*q + 4160 = 0.
1, 1040
What is r in 22*r**3/3 + 170*r**2/3 + 244*r/3 + 32 = 0?
-6, -1, -8/11
Let -16*j**4/5 - 4*j**3/5 + 48*j**2/5 - 4*j - 8/5 = 0. What is j?
-2, -1/4, 1
Suppose -2*w**5 - 6*w**4 + 4*w**3 + 12*w**2 - 2*w - 6 = 0. What is w?
-3, -1, 1
Let 3*t**2 - 42*t + 72 = 0. What is t?
2, 12
Solve -2*q**3/3 - 30*q**2 - 288*q - 792 = 0 for q.
-33, -6
Determine q so that q**2 + 115*q/3 + 38/3 = 0.
-38, -1/3
Find q, given that 2*q**2/19 - 156*q/19 = 0.
0, 78
Find o such that -5*o**2 - 350*o - 6125 = 0.
-35
Suppose -3*x**3 + 69*x**2 - 357*x - 429 = 0. Calculate x.
-1, 11, 13
Factor -28*m**4 + 52*m**3 + 188*m**2 + 108*m.
-4*m*(m + 1)**2*(7*m - 27)
Factor 3*p**3/10 - 67*p**2/10 + 166*p/5 + 126/5.
(p - 14)*(p - 9)*(3*p + 2)/10
Factor -2*d**2/9 + 6*d - 100/9.
-2*(d - 25)*(d - 2)/9
Find v, given that -v**3/5 + 2*v**2 - 17*v/5 + 8/5 = 0.
1, 8
Find h such that -h**5/5 + h**4 - 3*h**3/5 - 9*h**2/5 = 0.
-1, 0, 3
Solve f**3 + 80*f**2 + 449*f + 370 = 0.
-74, -5, -1
Find s such that 4*s**4/7 + 16*s**3 - 1228*s**2/7 - 2776*s/7 - 1440/7 = 0.
-36, -1, 10
Find c such that 2*c**2/5 + 56*c/5 - 256/5 = 0.
-32, 4
Factor 2*h**3/7 + 82*h**2/7 + 302*h/7 + 222/7.
2*(h + 1)*(h + 3)*(h + 37)/7
Solve 5*w**4 + 6505*w**3 + 2119000*w**2 + 2112500*w = 0.
-650, -1, 0
Factor 15*l**3 + 160*l**2 + 235*l + 90.
5*(l + 1)*(l + 9)*(3*l + 2)
Factor r**4/10 + 32*r**3/5 + 564*r**2/5 + 288*r - 1080.
(r - 2)*(r + 6)*(r + 30)**2/10
What is k in 76*k**2 + 2168*k/7 + 160/7 = 0?
-4, -10/133
What is f in -3*f**2/7 + 51*f + 360/7 = 0?
-1, 120
Factor -3*c**2/2 - 33*c/2 + 120.
-3*(c - 5)*(c + 16)/2
Factor 2*j**2/7 + 3450*j/7.
2*j*(j + 1725)/7
Determine c, given that 2*c**5/17 + 12*c**4/17 - 30*c**3/17 + 16*c**2/17 = 0.
-8, 0, 1
Let -9*a**4/5 + 66*a**3/5 - 97*a**2/5 - 88*a/5 - 16/5 = 0. Calculate a.
-1/3, 4
Suppose 5*k**4/8 - 63*k**3/2 - 415*k**2/8 - 27*k/4 + 13 = 0. What is k?
-1, 2/5, 52
Determine m, given that 3*m**2 - 228*m - 468 = 0.
-2, 78
Determine p so that -57*p**3/4 - 3*p**2/2 = 0.
-2/19, 0
Let -8*r**5 - 2*r**4 + 16*r**3 + 4*r**2 - 8*r - 2 = 0. What is r?
-1, -1/4, 1
Let 4*u**2 - 2656*u + 440896 = 0. Calculate u.
332
Find o, given that 4*o**2/5 + 1612*o/5 = 0.
-403, 0
Factor 3*m**3/5 - 18*m**2/5.
3*m**2*(m - 6)/5
Determine y, given that -3*y**2/8 + 141*y/8 - 135/4 = 0.
2, 45
What is m in m**2/10 - 89*m/10 + 737/5 = 0?
22, 67
Factor 16*u**3 + 132*u**2 - 148*u.
4*u*(u - 1)*(4*u + 37)
Factor 2*g**2/7 + 60*g/7 + 58/7.
2*(g + 1)*(g + 29)/7
Determine s, given that 3*s**2/4 - 27*s/4 = 0.
0, 9
Determine t, given that 2*t**4/7 + 22*t**3/7 + 12*t**2 + 136*t/7 + 80/7 = 0.
-5, -2
Determine a, given that -3*a**5 + 27*a**4 - 21*a**3 - 27*a**2 + 24*a = 0.
-1, 0, 1, 8
Determine c, given that 2*c**5/3 + 12*c**4 + 160*c**3/3 - 12*c**2 - 54*c = 0.
-9, -1, 0, 1
Find f, given that 30*f**4 + 3245*f**3 + 3740*f**2 - 545*f - 1070 = 0.
-107, -1, -2/3, 1/2
Determine z so that -3*z**4/5 - 33*z**3/5 - 129*z**2/5 - 207*z/5 - 108/5 = 0.
-4, -3, -1
Determine v, given that 5*v**3 + 160*v**2 + 1105*v - 2890 = 0.
-17, 2
Factor -5*y**3 - 253*y**2 - 148*y + 100.
-(y + 1)*(y + 50)*(5*y - 2)
Determine i so that -10*i**5/3 - 196*i**4/3 - 220*i**3 + 3376*i**2/3 + 2398*i/3 - 484 = 0.
-11, -1, 2/5, 3
What is x in 5*x**4 - 145*x**3 + 1110*x**2 - 700*x - 1960 = 0?
-1, 2, 14
Factor k**3/7 - k**2 + 15*k/7 - 9/7.
(k - 3)**2*(k - 1)/7
Solve -3*b**3/7 + 879*b**2/7 + 3*b/7 - 879/7 = 0.
-1, 1, 293
Factor 4*n**4 + 12*n**3 + 4*n**2 - 12*n - 8.
4*(n - 1)*(n + 1)**2*(n + 2)
Factor -3*r**4 + 39*r**3 - 126*r**2.
-3*r**2*(r - 7)*(r - 6)
Factor 20*c**4 - 24*c**3 - 16*c**2 + 24*c - 4.
4*(c - 1