 1)
Let u**5/3 + u**4 + u**3/3 - u**2 - 2*u/3 = 0. Calculate u.
-2, -1, 0, 1
Factor 5*f**3 + 140*f**2.
5*f**2*(f + 28)
Determine u, given that -12482*u**4/7 - 125768*u**3/7 - 321548*u**2/7 - 23880*u/7 - 450/7 = 0.
-5, -3/79
Suppose -2*o**5 + 42*o**4 - 144*o**3 + 136*o**2 = 0. Calculate o.
0, 2, 17
Factor 2*u**3/3 - 274*u**2 + 28016*u + 84872/3.
2*(u - 206)**2*(u + 1)/3
Factor -j**4 + 16*j**3 - 79*j**2 + 84*j + 180.
-(j - 6)**2*(j - 5)*(j + 1)
Find w such that -2*w**5/9 - 16*w**4/9 - 4*w**3 - 32*w**2/9 - 10*w/9 = 0.
-5, -1, 0
Factor 5*v**4 - 235*v**3 + 1065*v**2 - 585*v - 1890.
5*(v - 42)*(v - 3)**2*(v + 1)
Determine t so that 10*t**4 + 36*t**3 - 16*t**2 = 0.
-4, 0, 2/5
Let -3*d**4 + 20*d**3/3 + 23*d**2/3 - 2*d = 0. Calculate d.
-1, 0, 2/9, 3
Factor d**2/5 - 9*d/5 - 22/5.
(d - 11)*(d + 2)/5
Suppose -2*r**3/7 + 34*r**2/7 - 76*r/7 - 16 = 0. What is r?
-1, 4, 14
Factor -5*x**4 - 75*x**3 + 260*x**2 - 180*x.
-5*x*(x - 2)*(x - 1)*(x + 18)
Factor -2*p**3/17 + 10*p**2/17 - 12*p/17.
-2*p*(p - 3)*(p - 2)/17
Let 4*p**2 + 1440*p + 2864 = 0. What is p?
-358, -2
Factor -2*v**2 - 22*v + 84.
-2*(v - 3)*(v + 14)
Factor -m**4 - 54*m**3 - 829*m**2 - 2700*m - 2500.
-(m + 2)**2*(m + 25)**2
Factor 4*b**3 - 1050*b**2 + 69168*b - 34322.
2*(b - 131)**2*(2*b - 1)
Suppose 3*r**5/2 - 183*r**4/8 + 777*r**3/8 - 435*r**2/8 - 1113*r/8 + 147/4 = 0. Calculate r.
-1, 1/4, 2, 7
Factor -3*p**2 - 165*p - 1242.
-3*(p + 9)*(p + 46)
Let -225*k**5 + 705*k**4 + 69*k**3 - 561*k**2 + 264*k - 36 = 0. What is k?
-1, 1/3, 2/5, 3
Determine t, given that -16*t**4/7 - 116*t**3/7 - 184*t**2/7 - 12*t = 0.
-21/4, -1, 0
Let -2*a**4/7 + 32*a**3/7 + 10*a**2 + 36*a/7 = 0. What is a?
-1, 0, 18
Determine m so that 2*m**5/11 - 10*m**3/11 + 8*m/11 = 0.
-2, -1, 0, 1, 2
Factor -4*o**3 + 76*o + 120.
-4*(o - 5)*(o + 2)*(o + 3)
Determine q, given that 20*q**5 + 165*q**4 + 480*q**3 + 590*q**2 + 300*q + 45 = 0.
-3, -1, -1/4
Determine l so that 75*l**5 + 435*l**4 - 288*l**3 - 1320*l**2 - 816*l - 144 = 0.
-6, -1, -2/5, 2
Factor -3*w**2 - 99*w + 324.
-3*(w - 3)*(w + 36)
Let -4*h**3 + 196*h**2 - 2300*h - 2500 = 0. Calculate h.
-1, 25
Suppose -2*q**4/3 - 416*q**3/3 - 6484*q**2 + 226720*q/3 - 594050/3 = 0. Calculate q.
-109, 5
Find p such that 3*p**5/4 + 21*p**4/2 + 48*p**3 + 177*p**2/2 + 285*p/4 + 21 = 0.
-7, -4, -1
Determine d so that -5*d**2 + 60*d + 225 = 0.
-3, 15
Factor 2*r**5 + 22*r**4 + 80*r**3 + 96*r**2.
2*r**2*(r + 3)*(r + 4)**2
Suppose -28*k**4 + 544*k**3 + 2236*k**2 + 1520*k - 1104 = 0. What is k?
-2, 3/7, 23
Factor -3*x**3 + 12*x**2 + 27*x - 108.
-3*(x - 4)*(x - 3)*(x + 3)
Let -4*m**3 + 40*m**2 - 108*m + 72 = 0. What is m?
1, 3, 6
Solve 5*i**3 + 25*i**2 + 30*i = 0 for i.
-3, -2, 0
Factor 2*z**3/5 - 18*z**2/5 + 16*z/5.
2*z*(z - 8)*(z - 1)/5
Find r, given that 2*r**3 + 564*r**2/5 + 8064*r/5 + 3136/5 = 0.
-28, -2/5
Solve -t**4/4 + 305*t**3/4 - 227*t**2 + 151*t = 0 for t.
0, 1, 2, 302
Factor -2*y**2 - 86*y + 4176.
-2*(y - 29)*(y + 72)
Factor 3*o**4 + 489*o**3 + 19680*o**2 - 20172*o.
3*o*(o - 1)*(o + 82)**2
Suppose 2*h**3/3 + 1288*h**2 + 622104*h = 0. Calculate h.
-966, 0
Find p such that -3*p**2/7 - 192*p + 1347/7 = 0.
-449, 1
Find h, given that -20*h**4/3 - 448*h**3/3 - 2596*h**2/3 - 968*h/3 = 0.
-11, -2/5, 0
Factor -5*b**2 - 75*b - 130.
-5*(b + 2)*(b + 13)
Let 11*i**5 - 24*i**4 - 40*i**3 + 30*i**2 + 29*i - 6 = 0. What is i?
-1, 2/11, 1, 3
What is d in 28*d**4/3 - 128*d**3/3 - 20*d**2 = 0?
-3/7, 0, 5
Let -3*s**5 + 495*s**4 - 21138*s**3 + 58554*s**2 + 21141*s - 59049 = 0. Calculate s.
-1, 1, 3, 81
Factor -4*c**3/3 + 136*c**2/3 - 380*c/3 + 248/3.
-4*(c - 31)*(c - 2)*(c - 1)/3
Factor 12*q**5/7 - 3*q**4/7 - 15*q**3/7.
3*q**3*(q + 1)*(4*q - 5)/7
Factor -g**3 + 8*g**2 + 84*g.
-g*(g - 14)*(g + 6)
Find u such that -2*u**5/11 - 4*u**4/11 + 14*u**3/11 + 16*u**2/11 - 24*u/11 = 0.
-3, -2, 0, 1, 2
Factor -o**4 + 2*o**3 + 5*o**2 - 6*o.
-o*(o - 3)*(o - 1)*(o + 2)
Factor 24*f**3 + 8*f**2 + 2*f/3.
2*f*(6*f + 1)**2/3
Factor m**3 + 12*m**2 - 13*m.
m*(m - 1)*(m + 13)
Solve -3*r**4 - 30*r**3 + 264*r**2 + 606*r + 315 = 0.
-15, -1, 7
Factor -2*n**3/3 - 16*n**2 - 126*n - 980/3.
-2*(n + 7)**2*(n + 10)/3
Factor 4*j**3 + 1984*j**2 + 244020*j - 496008.
4*(j - 2)*(j + 249)**2
Find b, given that -b**3/8 - 129*b**2/8 + b/8 + 129/8 = 0.
-129, -1, 1
Factor m**4/4 - 3*m**2 + 4*m.
m*(m - 2)**2*(m + 4)/4
Factor -2*u**3/7 - 10*u**2 - 414*u/7 + 486/7.
-2*(u - 1)*(u + 9)*(u + 27)/7
Solve -2*r**4/3 - 38*r**3/3 + 380*r**2 - 6848*r/3 + 9472/3 = 0.
-37, 2, 8
Solve g**5/2 - 3*g**4 + 11*g**3/2 - g**2 - 6*g + 4 = 0.
-1, 1, 2
Solve -3*l**5 - 31*l**4 - 8*l**3 + 20*l**2 = 0.
-10, -1, 0, 2/3
Solve g**2/5 + 6*g + 29/5 = 0 for g.
-29, -1
What is h in 2*h**5 - 4658*h**4 - 2*h**3 + 4658*h**2 = 0?
-1, 0, 1, 2329
Let -20*k**4 - 605*k**3 - 3990*k**2 + 9280*k + 2560 = 0. Calculate k.
-16, -1/4, 2
Determine g, given that -g**4/3 + 6*g**3 - 27*g**2 + 112*g/3 - 16 = 0.
1, 4, 12
Solve t**3 + 22*t**2 + 145*t + 300 = 0.
-12, -5
Factor 3*p**3/8 + 69*p**2/8 + 33*p/4.
3*p*(p + 1)*(p + 22)/8
Determine u so that -3*u**5 - 1842*u**4 - 10980*u**3 - 21918*u**2 - 18249*u - 5472 = 0.
-608, -3, -1
Factor 3*g**2/2 + 651*g - 1305/2.
3*(g - 1)*(g + 435)/2
Let 10*l**5 - 136*l**4 + 314*l**3 + 988*l**2 - 744*l - 432 = 0. What is l?
-2, -2/5, 1, 6, 9
Determine q, given that -q**3/3 + 156*q**2 - 18252*q = 0.
0, 234
Determine k so that -27*k**3 + 33*k**2 + 804*k - 180 = 0.
-5, 2/9, 6
Factor -o**2/9 + 20*o/9 + 989/9.
-(o - 43)*(o + 23)/9
Determine d so that -d**5 + 34*d**4 - 361*d**3 + 900*d**2 + 3024*d + 1728 = 0.
-1, 12
Factor 2*z**2/7 + 820*z/7 + 84050/7.
2*(z + 205)**2/7
Factor 2*t**2 - 5874*t.
2*t*(t - 2937)
Factor -n**4 + 11*n**3 - 27*n**2 + 25*n - 8.
-(n - 8)*(n - 1)**3
Solve -4*u**3 + 76*u**2 - 136*u = 0.
0, 2, 17
Factor 15*a**3 - 102*a**2 + 36*a + 216.
3*(a - 6)*(a - 2)*(5*a + 6)
Determine c so that c**2 - 238*c + 3552 = 0.
16, 222
Factor 2*h**4/7 + 6288*h**3/7 + 4936076*h**2/7 - 9891024*h/7 + 4948658/7.
2*(h - 1)**2*(h + 1573)**2/7
Suppose -y**3/8 - 15*y**2/4 - 29*y/8 = 0. Calculate y.
-29, -1, 0
Solve 3*g**2 - 1263*g = 0 for g.
0, 421
Factor 49*s**3 - 1589*s**2 - 920*s - 132.
(s - 33)*(7*s + 2)**2
Solve -256*x**4 - 2240*x**3 - 7344*x**2 - 10692*x - 5832 = 0 for x.
-9/4, -2
Solve 2*t**2/7 - 674*t/7 + 96 = 0.
1, 336
Determine m so that -2*m**4 + 30*m**3 - 144*m**2 + 216*m = 0.
0, 3, 6
What is d in -5*d**5 + 130*d**4 - 695*d**3 - 2090*d**2 + 700*d + 1960 = 0?
-2, -1, 1, 14
Let 10*y**5/9 - 74*y**4/9 + 4*y**3/3 + 116*y**2/9 - 22*y/9 - 14/3 = 0. Calculate y.
-1, -3/5, 1, 7
Determine t so that 2*t**5/3 - 22*t**4/3 - 28*t**3 = 0.
-3, 0, 14
Let -4*o**5/9 - 44*o**4/9 - 136*o**3/9 + 32*o**2/9 + 640*o/9 + 512/9 = 0. What is o?
-4, -1, 2
Determine r so that -2*r**2/11 + 26*r/11 + 120 = 0.
-20, 33
What is b in 4*b**3 - 856*b**2 - 5244*b - 7920 = 0?
-3, 220
Solve y**5 + 54*y**4/5 + 32*y**3 - 64*y**2/5 - 768*y/5 - 512/5 = 0 for y.
-4, -4/5, 2
Solve -20*x**4 - 45*x**3 - 5*x**2 + 45*x + 25 = 0 for x.
-5/4, -1, 1
Solve -d**2 - 113*d - 112 = 0.
-112, -1
Factor -4*i**2 + 2040*i - 260100.
-4*(i - 255)**2
Suppose 2*a**4/5 + 34*a**3/5 + 126*a**2/5 - 162*a/5 = 0. Calculate a.
-9, 0, 1
Factor 2*c**2/7 + 36*c/7 - 38/7.
2*(c - 1)*(c + 19)/7
Solve -5*o**2 + 65*o - 150 = 0 for o.
3, 10
Find f, given that 4*f**5 - 3620*f**4 + 817212*f**3 + 820836*f**2 = 0.
-1, 0, 453
Factor -6*r**3/5 + 60*r**2 - 4488*r/5 + 17424/5.
-6*(r - 22)**2*(r - 6)/5
Let d**4 + 2*d**3 - 75*d**2 + 64*d + 140 = 0. What is d?
-10, -1, 2, 7
What is j in -j**2/4 - 5*j/2 - 4 = 0?
-8, -2
Determine n, given that -14*n**4 + 52*n**3 + 240*n**2 - 832*n - 256 = 0.
-4, -2/7, 4
Determine w, given that w**4/3 + 86*w**3/3 - 268*w**2/3 - 86*w/3 + 89 = 0.
-89, -1, 1, 3
Let -10*y**2 - 1255*y = 0. What is y?
-251/2, 0
Suppose -s**4/4 - 5*s**3/4 + 33*s**2/4 - 27*s/4 = 0. What is s?
-9, 0, 1, 3
Determine b so that -4*b**3 - 124*b**2 - 880*b + 1008 = 0.
-18, -14, 1
Let -h**3 - 7*h**2/2 + 14*h - 6 = 0. Calculate h.
-6, 1/2, 2
Factor b**3 + 84*b**2 + 2304*b + 20736.
(b + 24)**2*(b + 36)
Solve 4*u**4 + 104*u**3 = 0.
-26, 0
Factor -3*q**3 - 72*q**2 + 2340*q - 13200.
-3*(q - 10)**2*(q + 44)
Suppose -b**4 - 22*b**3 - 125*b**2 - 188*b - 84 = 0. Calculate b.
-14, -6, -1
Suppose -s**2 - 19*s = 0. What is s?
-19, 0
Factor u**4/4 - 5*u**3/2 + 3*u**2 + 18*u.
u*(u - 6)