3*w**2/7 - 15*w + 84.
3*(w - 28)*(w - 7)/7
Factor -3*v**3 + 15*v**2 + 96*v + 108.
-3*(v - 9)*(v + 2)**2
Find h such that h**4/2 + 5*h**3 + 21*h**2/2 - 18*h - 54 = 0.
-6, -3, 2
Factor u**2 + 2080*u + 1081600.
(u + 1040)**2
Factor -16562*t**3/11 - 728*t**2/11 - 8*t/11.
-2*t*(91*t + 2)**2/11
Factor -c**4/11 + 12*c**3/11 + 42*c**2/11 + 4*c + 15/11.
-(c - 15)*(c + 1)**3/11
Factor -m**2/2 + 365*m/2 + 367.
-(m - 367)*(m + 2)/2
What is d in d**4/5 + 177*d**3/5 + 8091*d**2/5 + 22707*d/5 = 0?
-87, -3, 0
Factor y**2 + 1263*y - 2530.
(y - 2)*(y + 1265)
Determine f, given that f**3 - 461*f**2 - 926*f = 0.
-2, 0, 463
Suppose -4*i**3 + 28*i**2 - 60*i + 36 = 0. What is i?
1, 3
Solve -m**2 + 62*m - 232 = 0 for m.
4, 58
Determine j so that j**3 - j**2 - 16*j - 20 = 0.
-2, 5
Factor 40*g**2 - 15255*g + 5715.
5*(g - 381)*(8*g - 3)
Factor -4*n**5 - 12*n**4 + 40*n**3 + 208*n**2 + 288*n + 128.
-4*(n - 4)*(n + 1)*(n + 2)**3
What is c in -c**3/10 - 3*c**2/10 + 2*c/5 = 0?
-4, 0, 1
Factor -225*v**2 + 219*v + 6.
-3*(v - 1)*(75*v + 2)
Factor 4*u**3/5 - 368*u**2/5 - 748*u/5 - 376/5.
4*(u - 94)*(u + 1)**2/5
Factor 4*z**4/3 - 2*z**3 + 2*z**2/3.
2*z**2*(z - 1)*(2*z - 1)/3
Factor 2*j**3 + 34*j**2 + 108*j - 144.
2*(j - 1)*(j + 6)*(j + 12)
Factor k**3/4 - k**2 + 3*k/4.
k*(k - 3)*(k - 1)/4
Let -3*x**2/2 - 21*x/2 - 15 = 0. What is x?
-5, -2
Find f, given that 3*f**5 + 24*f**4 + 66*f**3 + 72*f**2 + 27*f = 0.
-3, -1, 0
Find x such that x**2/3 + 62*x/3 + 961/3 = 0.
-31
Solve z**5/2 - 2*z**4/3 - 17*z**3/6 + 17*z**2/3 - 8*z/3 = 0 for z.
-8/3, 0, 1, 2
Solve -16*r**3 - 476*r**2/3 - 176*r + 1664/3 = 0 for r.
-8, -13/4, 4/3
Solve 35*r**2 + 760*r - 220 = 0.
-22, 2/7
Suppose -5*w**4/2 + 5*w**3/2 + 30*w**2 = 0. Calculate w.
-3, 0, 4
Factor -4*l**3 + 224*l**2.
-4*l**2*(l - 56)
Let 3*q**3 + 15*q**2 + 18*q = 0. What is q?
-3, -2, 0
Determine r so that -2*r**2/5 - 1464*r/5 - 267912/5 = 0.
-366
What is r in 3*r**3 - 15*r**2 - 42*r = 0?
-2, 0, 7
Solve 3*m**5 + 45*m**4 + 138*m**3 - 288*m**2 - 384*m = 0.
-8, -1, 0, 2
Find y, given that -3*y**3 + 3*y**2 + 27*y - 27 = 0.
-3, 1, 3
Find d such that 2*d**2/7 + 522*d/7 + 520/7 = 0.
-260, -1
Solve -4*q**5 - 16*q**4/3 - 4*q**3/3 = 0.
-1, -1/3, 0
Factor m**3 - 11*m**2/6 - m/3.
m*(m - 2)*(6*m + 1)/6
Find v, given that 3*v**5 + 27*v**4 - 9*v**3 - 75*v**2 + 54*v = 0.
-9, -2, 0, 1
Factor -m**4/3 + 115*m**3/3 - 254*m**2 + 216*m.
-m*(m - 108)*(m - 6)*(m - 1)/3
Factor -2*m**2/3 + 1456*m - 794976.
-2*(m - 1092)**2/3
Determine j so that -3*j**3/2 - 107*j**2/4 - 117*j + 81/4 = 0.
-9, 1/6
Solve h**2/4 - 1477*h/2 + 2181529/4 = 0.
1477
Let -2*o**4 - 8*o**3 + 22*o**2 + 60*o = 0. Calculate o.
-5, -2, 0, 3
Determine z so that -528*z**5 - 4392*z**4 - 9249*z**3 - 2394*z**2 + 273*z + 90 = 0.
-5, -3, -1/4, 2/11
Determine d, given that -2*d**4/3 + 254*d**3 - 506*d**2 + 758*d/3 = 0.
0, 1, 379
Suppose 535824*k**4 + 2141832*k**3 + 2137441*k**2 - 5852*k + 4 = 0. What is k?
-2, 1/732
What is u in -3*u**5 + 333*u**4/4 - 537*u**3 + 1281*u**2/2 + 1620*u + 1425/4 = 0?
-1, -1/4, 5, 19
Factor 36*a**5 - 1596*a**4 + 23224*a**3 - 105480*a**2 - 78300*a - 13500.
4*(a - 15)**3*(3*a + 1)**2
Factor i**2/4 + 29*i/4 + 69/2.
(i + 6)*(i + 23)/4
Factor 3*u**4/7 + 6*u**3 - 96*u**2/7.
3*u**2*(u - 2)*(u + 16)/7
Suppose -5*c**5 + 80*c**4 - 370*c**3 + 280*c**2 + 735*c = 0. Calculate c.
-1, 0, 3, 7
Let 2*t**2 + 410*t + 3152 = 0. What is t?
-197, -8
Let -8*n**3/5 + 552*n**2 - 47610*n = 0. What is n?
0, 345/2
Solve 12*j**4/7 + 76*j**3/7 + 132*j**2/7 + 12*j + 16/7 = 0.
-4, -1, -1/3
Factor -w**3/5 - 4*w**2/5 + 7*w/5 + 2.
-(w - 2)*(w + 1)*(w + 5)/5
Factor x**5/4 + x**4/4 - x**3/2 - x**2/2 + x/4 + 1/4.
(x - 1)**2*(x + 1)**3/4
Suppose -f**2/7 + 5*f - 96/7 = 0. What is f?
3, 32
Find q, given that -q**2 - 8652*q - 18714276 = 0.
-4326
Find a such that -2*a**4 + 114*a**3 + 770*a**2 - 882*a = 0.
-7, 0, 1, 63
Solve 4*f**3/7 + 40*f**2/7 + 52*f/7 - 96/7 = 0.
-8, -3, 1
Solve -2*k**4 - 16*k**3 - 42*k**2 - 44*k - 16 = 0 for k.
-4, -2, -1
Find g such that 10*g**2 - 4574*g + 1828 = 0.
2/5, 457
Determine a so that -5*a**3 + 60*a**2 + 5760*a - 103680 = 0.
-36, 24
Let -k**2/7 + 30*k/7 + 25 = 0. Calculate k.
-5, 35
Factor 3*f**2/2 - 873*f/2 + 2565.
3*(f - 285)*(f - 6)/2
Factor -27*h**3 + 5067*h**2 - 240240*h + 235200.
-3*(h - 1)*(3*h - 280)**2
Determine r so that 4*r**3 - 756*r**2 + 47628*r - 1000188 = 0.
63
Suppose s**5 + 83*s**4 + 2170*s**3 + 13862*s**2 - 110171*s - 121945 = 0. What is s?
-29, -1, 5
Solve -3*h**2/5 - 24672*h/5 - 50725632/5 = 0 for h.
-4112
Let 5*n**4/3 - 170*n**3/3 - 1405*n**2/3 - 410*n = 0. What is n?
-6, -1, 0, 41
Suppose 12*a**4 + 52*a**3 + 76*a**2 + 44*a + 8 = 0. Calculate a.
-2, -1, -1/3
Find k, given that -2*k**2 + 120*k + 122 = 0.
-1, 61
Factor 4*j**3/5 - 12*j**2/5 - 36*j - 324/5.
4*(j - 9)*(j + 3)**2/5
Suppose 4*t**4 - 264*t**3 + 3888*t**2 - 21600*t + 41472 = 0. What is t?
6, 48
Let -3*p**2 - 38*p + 41 = 0. Calculate p.
-41/3, 1
Factor 4*b**2/9 + 200*b - 9100/9.
4*(b - 5)*(b + 455)/9
Solve 16*c**3/11 + 2*c**2/11 = 0 for c.
-1/8, 0
Factor -5*n**3 - 5*n**2 + 80*n - 100.
-5*(n - 2)**2*(n + 5)
Determine f so that 7*f**3/10 - 549*f**2/5 + 42423*f/10 + 24964/5 = 0.
-8/7, 79
Suppose 2*l**4 - 962*l**3 + 113226*l**2 + 596322*l - 708588 = 0. Calculate l.
-6, 1, 243
What is u in 3*u**4 + 48*u**3 + 27*u**2 - 270*u = 0?
-15, -3, 0, 2
Find w such that 4*w**3 + 148*w**2 - 644*w + 492 = 0.
-41, 1, 3
Determine a, given that -2*a**5/9 + 8*a**4/9 - 8*a**3/9 = 0.
0, 2
Factor -2*p**3 + 398*p**2 - 396*p.
-2*p*(p - 198)*(p - 1)
Factor 5*u**3 + 780*u**2 + 1545*u + 770.
5*(u + 1)**2*(u + 154)
Let -3*x**3 - 27*x**2 + 522*x - 912 = 0. What is x?
-19, 2, 8
Determine n, given that 5*n**2 - 120*n = 0.
0, 24
Find z, given that -5*z**3 - 225*z**2 + 465*z - 235 = 0.
-47, 1
Let -2*i**3/13 - 1146*i**2/13 - 163590*i/13 + 164738/13 = 0. What is i?
-287, 1
Find j such that 3*j**3/7 - 108*j**2/7 - 111*j + 126 = 0.
-7, 1, 42
Suppose -2*o**2/5 - 2116*o/5 + 2118/5 = 0. Calculate o.
-1059, 1
Find t, given that -2*t**2/9 - 250*t/9 + 256/3 = 0.
-128, 3
Factor -h**2/3 - 358*h/3 - 32041/3.
-(h + 179)**2/3
Let -g**3/3 - 3*g**2 + g/3 + 3 = 0. Calculate g.
-9, -1, 1
Factor v**4/4 + 6*v**3 + 23*v**2/4.
v**2*(v + 1)*(v + 23)/4
Suppose -4*f**5 - 1140*f**4 - 122120*f**3 - 5847560*f**2 - 107373300*f - 101646724 = 0. Calculate f.
-71, -1
Let 4*v**2 + 784*v - 788 = 0. Calculate v.
-197, 1
Factor -3*a**3 - 27*a**2 + 246*a - 360.
-3*(a - 4)*(a - 2)*(a + 15)
Factor -16*k**5/7 - 524*k**4/7 + 132*k**3/7.
-4*k**3*(k + 33)*(4*k - 1)/7
Solve m**3/9 + 8*m**2/9 = 0 for m.
-8, 0
Determine w, given that -2*w**4/3 + 22*w**3/3 - 22*w**2 + 10*w/3 + 100/3 = 0.
-1, 2, 5
Factor 28*y**2 - 1840*y - 528.
4*(y - 66)*(7*y + 2)
Find h, given that 10*h**4/3 - 656*h**3 - 7982*h**2/3 - 3340*h - 4016/3 = 0.
-2, -1, 1004/5
Factor 2*k**4/7 + 46*k**3/7 + 240*k**2/7.
2*k**2*(k + 8)*(k + 15)/7
Solve v**3/3 - 134*v**2/3 + 4489*v/3 = 0 for v.
0, 67
Factor g**3 + 18*g**2 - 115*g.
g*(g - 5)*(g + 23)
Factor -2*w**2 + 84*w - 882.
-2*(w - 21)**2
Find r such that -5*r**3 + 95*r**2 + 330*r = 0.
-3, 0, 22
Solve -14*f**5/5 - 16*f**4 - 158*f**3/5 - 116*f**2/5 - 8*f/5 + 16/5 = 0.
-2, -1, 2/7
Let -5*h**4 + 880*h**3 - 39585*h**2 + 75690*h = 0. What is h?
0, 2, 87
Let -j**4/9 + 73*j**3 - 656*j**2/9 = 0. What is j?
0, 1, 656
Suppose -2*k**4/11 - 10*k**3/11 + 2*k**2/11 + 10*k/11 = 0. What is k?
-5, -1, 0, 1
Factor 2*n**3 + 570*n**2 + 54150*n + 1714750.
2*(n + 95)**3
Find u such that -26*u**2/3 + 38*u + 140/3 = 0.
-1, 70/13
Factor 15*k**2 - 380*k + 2080.
5*(k - 8)*(3*k - 52)
Suppose 7*a**5/3 - 110*a**4/3 + 73*a**3/3 + 10*a**2 = 0. What is a?
-2/7, 0, 1, 15
What is j in -7*j**3/5 - 404*j**2/5 - 5771*j/5 + 1682/5 = 0?
-29, 2/7
Determine c, given that -3*c**5/4 + 9*c**4/2 + 15*c**3/4 - 45*c**2/2 - 3*c + 18 = 0.
-2, -1, 1, 2, 6
What is h in -h**5 + 65*h**4/2 + 161*h**3 + 407*h**2/2 + 2*h - 74 = 0?
-2, -1, 1/2, 37
Factor -5*z**4 - 10*z**3 + 15*z**2 + 40*z + 20.
-5*(z - 2)*(z + 1)**2*(z + 2)
Solve 3*n**5 - 3309*n**4 + 907482*n**3 + 2742330*n**2 + 2748963*n + 917427 = 0.
-1, 553
Factor -3*x**3 - 3*x**2 + 12*x + 12.
-3*(x - 2)*(x + 1)*(x + 2)
Factor -147*c**2/2 - 819*c/2 - 4563/8.
-3*(14*c + 39)**2/8
Factor -j**2 + 59*j - 630.
-(j - 45)*(j - 14)
Let -4*g**4 - 60*g**3 - 216*g**2 - 160*g = 0. Calculate g.
-10, -4, -1, 