g.
-14, 1/4
Suppose -2*t**5/13 + 20*t**4/13 - 36*t**3/13 - 152*t**2/13 + 470*t/13 - 300/13 = 0. What is t?
-3, 1, 2, 5
Factor 3*y**3/7 - 3*y + 18/7.
3*(y - 2)*(y - 1)*(y + 3)/7
Factor 3*u**4 - 3*u**3 - 9*u**2 + 3*u + 6.
3*(u - 2)*(u - 1)*(u + 1)**2
Factor z**3 - 78*z**2 - 775*z - 696.
(z - 87)*(z + 1)*(z + 8)
Solve 79*a**2 - 97*a + 18 = 0.
18/79, 1
Let -5*b**2/4 - 35*b/2 + 75/4 = 0. What is b?
-15, 1
Factor -54*l**2 + 814*l/15 - 4/15.
-2*(l - 1)*(405*l - 2)/15
Factor 5*t**5 - 340*t**4 - 30*t**3 + 2080*t**2 - 2735*t + 1020.
5*(t - 68)*(t - 1)**3*(t + 3)
Find i, given that -14*i**5/3 + 6*i**4 + 8*i**3 - 8*i**2/3 = 0.
-1, 0, 2/7, 2
Let -6*y**5/5 + 34*y**4/5 + 124*y**3/5 - 72*y**2/5 - 208*y/5 + 128/5 = 0. Calculate y.
-2, 2/3, 1, 8
Factor 4*b**4 - 72*b**3 - 428*b**2 - 720*b - 368.
4*(b - 23)*(b + 1)*(b + 2)**2
Factor t**2/3 + 55*t/3 + 106/3.
(t + 2)*(t + 53)/3
Factor -4*b**3/5 + 168*b**2/5 - 476*b/5 + 312/5.
-4*(b - 39)*(b - 2)*(b - 1)/5
Determine u, given that -5*u**2 + 2660*u - 353780 = 0.
266
Factor 500*d**2 + 640*d + 48.
4*(5*d + 6)*(25*d + 2)
Let 5*i**3 + 45*i**2 + 135*i + 135 = 0. What is i?
-3
Factor -4*t**5 + 48*t**4 - 32*t**3 - 1152*t**2 + 1728*t + 6912.
-4*(t - 6)**3*(t + 2)*(t + 4)
Find a, given that 6*a**4/11 - 28*a**3/11 - 50*a**2/11 + 8*a/11 + 24/11 = 0.
-1, 2/3, 6
Suppose 2*p**4/11 + 6*p**3/11 - 4*p**2/11 - 24*p/11 - 16/11 = 0. Calculate p.
-2, -1, 2
Factor -4*o**5 - 20*o**4 + 56*o**3 - 8*o**2 - 52*o + 28.
-4*(o - 1)**3*(o + 1)*(o + 7)
Factor -5*v**2 + 35*v + 90.
-5*(v - 9)*(v + 2)
Suppose 3*p**3/4 - 71*p**2/2 + 45*p + 46 = 0. Calculate p.
-2/3, 2, 46
Suppose 5*n**2 + 30*n - 80 = 0. Calculate n.
-8, 2
Solve 3*s**2/5 + 72*s/5 + 432/5 = 0.
-12
Factor a**3 - 23*a**2 + 143*a - 121.
(a - 11)**2*(a - 1)
Factor 2*g**3 + 28*g**2 + 22*g - 52.
2*(g - 1)*(g + 2)*(g + 13)
Let -2*b**2 - 1048*b - 137288 = 0. What is b?
-262
Factor -p**5 - 3*p**4 + 15*p**3 - 17*p**2 + 6*p.
-p*(p - 1)**3*(p + 6)
Factor 3*t**3/4 + 39*t**2/4 - 57*t/2 - 90.
3*(t - 4)*(t + 2)*(t + 15)/4
Factor -2*w**2/5 + 24*w/5 - 64/5.
-2*(w - 8)*(w - 4)/5
Factor -4*r**4 + 48*r**3 + 1108*r**2 + 1056*r.
-4*r*(r - 24)*(r + 1)*(r + 11)
Let 5*i**4 + 25*i**3 - 35*i**2 - 25*i + 30 = 0. What is i?
-6, -1, 1
What is y in -35*y**3/4 + 20*y**2 + 85*y/4 - 15/2 = 0?
-1, 2/7, 3
Solve 5*j**5 - 65*j**4 + 195*j**3 - 135*j**2 = 0.
0, 1, 3, 9
Determine z, given that 2*z**3/7 - 390*z**2/7 + 2286*z/7 - 486 = 0.
3, 189
Determine c so that c**2/4 - 57*c/4 + 55/2 = 0.
2, 55
Solve 2*z**2 + 5836*z + 4257362 = 0.
-1459
Factor b**2 - 9*b + 8.
(b - 8)*(b - 1)
Let 3*y**4 + 24*y**3 + 21*y**2 = 0. Calculate y.
-7, -1, 0
Factor -5*s**3 - 10*s**2 + 120*s.
-5*s*(s - 4)*(s + 6)
Let 76*u**5 - 1148*u**4 - 2540*u**3 + 1420*u**2 + 2464*u - 272 = 0. What is u?
-2, -1, 2/19, 1, 17
Solve -d**3 - 16*d**2 - 20*d + 112 = 0.
-14, -4, 2
Suppose s**3/2 + 11*s**2/2 = 0. Calculate s.
-11, 0
Suppose -5*q**2 - 85*q - 80 = 0. Calculate q.
-16, -1
Let -4*m**2 - 1524*m + 1528 = 0. What is m?
-382, 1
Let 18*v**5 - 3894*v**4 + 5156*v**3 + 868*v**2 - 1718*v - 430 = 0. Calculate v.
-1/3, 1, 215
Factor -m**2 + 898*m - 201601.
-(m - 449)**2
Find d such that d**3 + 1220*d**2 + 372100*d = 0.
-610, 0
Let -c**2/2 + 13*c/2 + 150 = 0. What is c?
-12, 25
Find y, given that 7*y**2/3 + 103*y/3 - 10 = 0.
-15, 2/7
Solve -c**2/7 + 744*c/7 - 138384/7 = 0 for c.
372
Factor -3*v**2/4 + 489*v/4 - 243/2.
-3*(v - 162)*(v - 1)/4
What is f in 2*f**4/21 - 6*f**3/7 + 8*f**2/3 - 24*f/7 + 32/21 = 0?
1, 2, 4
Let -x**2/3 + 43*x/3 = 0. Calculate x.
0, 43
Determine j so that -9*j**4/8 - 75*j**3/8 - 81*j**2/4 + 12 = 0.
-4, -1, 2/3
Suppose -2*h**3/9 - 334*h**2/3 - 55778*h/3 - 9314926/9 = 0. What is h?
-167
Determine g, given that -g**3 + 56*g**2 + 1124*g + 2016 = 0.
-14, -2, 72
Determine x, given that 10*x**3/11 - 118*x**2/11 + 24*x = 0.
0, 3, 44/5
Determine y so that 4*y**4/7 - 64*y**3/7 - 20*y**2 - 72*y/7 = 0.
-1, 0, 18
Factor -7*u**3/2 - 41*u**2 + 12*u.
-u*(u + 12)*(7*u - 2)/2
Find h, given that -4*h**2 - 3360*h - 705600 = 0.
-420
Factor 5*r**3 + 140*r**2 + 355*r - 500.
5*(r - 1)*(r + 4)*(r + 25)
Let 44*r**2 - 32*r = 0. Calculate r.
0, 8/11
Let -3*h**3 - 79*h**2/3 + 6*h = 0. Calculate h.
-9, 0, 2/9
Factor -2*t**2/5 + 11808*t/5 - 17428608/5.
-2*(t - 2952)**2/5
Let g**3/7 - 24*g**2/7 + 143*g/7 = 0. Calculate g.
0, 11, 13
Let 14*g**4/17 - 1340*g**3/17 + 2262*g**2/17 - 560*g/17 - 376/17 = 0. Calculate g.
-2/7, 1, 94
Determine v, given that v**4/4 - 4*v**3 + 16*v**2 = 0.
0, 8
Solve -4*h**5 + 28*h**4 + 36*h**3 - 28*h**2 - 32*h = 0 for h.
-1, 0, 1, 8
Solve -3*q**4 + 57*q**3 - 54*q**2 = 0 for q.
0, 1, 18
Suppose -5*a**2 - 560*a - 1100 = 0. Calculate a.
-110, -2
Factor -w**2/6 + 37*w/6 - 6.
-(w - 36)*(w - 1)/6
Determine y, given that 7*y**5 - 2294*y**4 + 187588*y**3 + 62968*y**2 - 750464*y - 215168 = 0.
-2, -2/7, 2, 164
Factor -3*q**3 + 576*q**2.
-3*q**2*(q - 192)
Solve -5*x**5 - 40*x**4 + 100*x**3 - 10*x**2 - 95*x + 50 = 0 for x.
-10, -1, 1
Factor 3*v**4 - 711*v**3 + 43173*v**2 - 123201*v.
3*v*(v - 117)**2*(v - 3)
Factor -c**2/2 + 41*c/2 - 105.
-(c - 35)*(c - 6)/2
Solve -7*u**5 + 292*u**4 - 756*u**3 + 586*u**2 - 37*u - 78 = 0 for u.
-2/7, 1, 39
Determine q, given that 99*q**2/8 + 201*q/4 + 3 = 0.
-4, -2/33
Factor -2*b**5 - 442*b**4 - 24198*b**3 + 24642*b**2.
-2*b**2*(b - 1)*(b + 111)**2
Let f**3 + 16*f**2 + 51*f + 36 = 0. Calculate f.
-12, -3, -1
Solve 6*r**3/5 + 288*r**2/5 - 1944*r/5 = 0.
-54, 0, 6
Solve -4*h**2/7 + 228*h/7 + 232/7 = 0.
-1, 58
Determine t, given that 2*t**2/5 + 16*t/5 + 14/5 = 0.
-7, -1
Factor -6*k**3 + 147*k**2 + 231*k + 78.
-3*(k - 26)*(k + 1)*(2*k + 1)
Find w such that 2*w**3 + 60*w**2 + 114*w + 56 = 0.
-28, -1
Solve -3*r**5 + 483*r**4 - 20604*r**3 + 93132*r**2 - 73008*r = 0.
0, 1, 4, 78
Factor 8*p**2/3 - 281*p/3 - 198.
(p + 2)*(8*p - 297)/3
Determine d, given that 8*d**4 - 36*d**3 + 81*d**2/2 - 14*d + 3/2 = 0.
1/4, 1, 3
Find z, given that -4*z**5/5 - 12*z**4/5 + 256*z**3/5 - 928*z**2/5 + 1344*z/5 - 704/5 = 0.
-11, 2
Factor -3*h**5 - 789*h**4 - 57513*h**3 - 748095*h**2 - 3552600*h - 5766000.
-3*(h + 5)**3*(h + 124)**2
Factor 3*s**5 + 156*s**4 + 300*s**3 - 6*s**2 - 303*s - 150.
3*(s - 1)*(s + 1)**3*(s + 50)
Solve 45*a**2/4 + 21*a - 3 = 0 for a.
-2, 2/15
Solve -128*s**5 + 32*s**4 + 1608*s**3 + 1174*s**2 + 290*s + 24 = 0 for s.
-3, -1/4, 4
Factor k**2/4 - 263*k/4 - 265/2.
(k - 265)*(k + 2)/4
Determine f, given that -2*f**5/9 - 2*f**4/9 + 4*f**3 - 28*f**2/9 - 34*f/9 + 10/3 = 0.
-5, -1, 1, 3
Factor 5*f**2 - 110*f - 840.
5*(f - 28)*(f + 6)
Factor -w**4 + 98*w**3 - 629*w**2 - 728*w.
-w*(w - 91)*(w - 8)*(w + 1)
Suppose -84*x**4 + 680*x**3 + 2540*x**2 + 1600*x - 176 = 0. What is x?
-2, -1, 2/21, 11
Factor 3*p**2 - 102*p.
3*p*(p - 34)
Factor 2*d**2/3 - 194*d - 584/3.
2*(d - 292)*(d + 1)/3
Factor -5*a**2 - 3935*a.
-5*a*(a + 787)
Factor -l**3/8 - l**2/2 + 3*l/2.
-l*(l - 2)*(l + 6)/8
What is q in -4*q**3/11 + 42*q**2/11 - 84*q/11 + 32/11 = 0?
1/2, 2, 8
Solve -r**5 - 16*r**4 + 76*r**3 - 80*r**2 = 0.
-20, 0, 2
Solve -k**4/2 - 36*k**3 - 645*k**2/2 - 775*k = 0.
-62, -5, 0
Let 3*s**2/5 + 522*s/5 - 105 = 0. What is s?
-175, 1
Factor t**2 - 310*t + 309.
(t - 309)*(t - 1)
Factor v**5 + 15*v**4 + 9*v**3 - 67*v**2 + 42*v.
v*(v - 1)**2*(v + 3)*(v + 14)
Solve -45*b**5 - 96*b**4 + 33*b**3 + 96*b**2 + 12*b = 0 for b.
-2, -1, -2/15, 0, 1
Let -4*m**4 + 576*m**3 + 3552*m**2 + 7168*m + 4800 = 0. Calculate m.
-2, 150
Suppose b**4/3 - 3*b**3 + 5*b**2 + 25*b/3 = 0. What is b?
-1, 0, 5
Let -17*v**3/5 + 66*v**2/5 - 12*v - 8/5 = 0. What is v?
-2/17, 2
Let 3*h**4/5 + 57*h**3/5 - 84*h**2/5 - 444*h/5 + 144 = 0. What is h?
-20, -3, 2
What is l in l**3/4 - l/4 = 0?
-1, 0, 1
Factor s**2 - 104*s + 103.
(s - 103)*(s - 1)
What is f in 115*f**3 - 1945*f**2 - 4540*f - 380 = 0?
-2, -2/23, 19
Suppose a**5/10 + 39*a**4/10 - 152*a**3/5 + 404*a**2/5 - 456*a/5 + 184/5 = 0. What is a?
-46, 1, 2
Factor -2*s**4 + 198*s**3 + 3420*s**2.
-2*s**2*(s - 114)*(s + 15)
Solve 104*q**3 + 724*q**2 - 28*q = 0.
-7, 0, 1/26
Let 3*t**5 - 201*t**4 + 393*t**3 - 195*t**2 = 0. What is t?
0, 1, 65
Factor 256*h**5 - 3072*h**4 - 3232*h**3 - 1232*h**2 - 207*h - 13.
(h - 13)*(4*h + 1)**4
Solve 18*z**5 + 129*z**4 + 291*z**3 + 207*z**2 + 27*z = 0 for z.
-3, -1, -1/6, 0
Solve 81*n**5/8 - 873*n**4/4 + 12237*n**3/8 - 6423*n**2/2 - 4011*n