2*o**3 - 448*o**2 + 576*o - 128 = 0. What is o?
-2, 2/7, 2
Let 4*m**4 - 92*m**3 + 84*m**2 + 92*m - 88 = 0. What is m?
-1, 1, 22
Factor -2*m**3/7 + 4*m**2 - 14*m.
-2*m*(m - 7)**2/7
Find o, given that 147*o**4 + 109725*o**3 + 156294*o**2 - 116196*o + 17880 = 0.
-745, -2, 2/7
Factor -4*h**4 - 4*h**3 + 32*h**2 + 48*h.
-4*h*(h - 3)*(h + 2)**2
Factor -p**2/6 - 14*p/3.
-p*(p + 28)/6
Find m, given that -15*m**3/4 - 63*m**2/4 + 24*m + 45 = 0.
-5, -6/5, 2
Factor 39*d**4 - 84*d**3 + 51*d**2 - 6*d.
3*d*(d - 1)**2*(13*d - 2)
Factor d**5 + 11*d**4 - 178*d**3 + 640*d**2 - 672*d.
d*(d - 4)**2*(d - 2)*(d + 21)
Factor 2*t**4 - 74*t**3 - 76*t**2.
2*t**2*(t - 38)*(t + 1)
Determine d, given that 2*d**5 + 770*d**4 + 1533*d**3/2 - 577*d**2 - 767*d/2 + 192 = 0.
-384, -1, 1/2
Find u such that u**3 - 39*u + 70 = 0.
-7, 2, 5
Factor 2*h**2 - 32*h/3.
2*h*(3*h - 16)/3
Factor -147*l**3 + 26502*l**2 - 7563*l + 540.
-3*(l - 180)*(7*l - 1)**2
Determine v, given that 3*v**2/4 + 3*v/2 = 0.
-2, 0
Solve h**3 - 111*h**2 + 918*h = 0.
0, 9, 102
Factor 5*p**4 - 125*p**3 + 840*p**2 - 720*p.
5*p*(p - 12)**2*(p - 1)
Factor -v**4/4 - 51*v**3/4 + 81*v**2/2.
-v**2*(v - 3)*(v + 54)/4
Factor 3*u**4/2 - 27*u**3 + 363*u**2/2 - 540*u + 600.
3*(u - 5)**2*(u - 4)**2/2
Factor 5*l**3 + 465*l**2 - 945*l + 475.
5*(l - 1)**2*(l + 95)
Suppose 132*g**3 + 1377*g**2 + 576*g + 60 = 0. Calculate g.
-10, -1/4, -2/11
Find o such that 9*o**4/5 - 39*o**3/5 - 62*o**2/5 + 128*o/5 + 32 = 0.
-4/3, 2, 5
Factor -5*g**5 - 135*g**4 - 850*g**3 + 3410*g**2 + 30855*g - 33275.
-5*(g - 5)*(g - 1)*(g + 11)**3
Let -2*x**2/3 + 28*x/3 - 22 = 0. What is x?
3, 11
Let b**4/4 + 39*b**3/4 + 58*b**2 + 60*b - 128 = 0. What is b?
-32, -4, 1
Factor -2*a**4 - 60*a**3 - 312*a**2 - 592*a - 384.
-2*(a + 2)**3*(a + 24)
Solve -3*k**5 + 42*k**4 - 171*k**3 + 204*k**2 + 132*k - 288 = 0 for k.
-1, 2, 3, 8
Find q, given that -16*q**3 - 152*q**2 + 79*q - 10 = 0.
-10, 1/4
Solve -3*f**3 + 234*f**2 - 6084*f + 52728 = 0 for f.
26
Suppose 5*c**5 + 40*c**4 + 60*c**3 - 160*c**2 - 320*c = 0. What is c?
-4, -2, 0, 2
Factor -6*d**3/7 + 3*d**2 - 24*d/7 + 9/7.
-3*(d - 1)**2*(2*d - 3)/7
Solve c**2/3 + 3*c - 12 = 0 for c.
-12, 3
Determine k, given that 5*k**4 - 330*k**2 + 800*k + 1125 = 0.
-9, -1, 5
Factor -m**3/2 - 986*m**2 + 1973*m/2.
-m*(m - 1)*(m + 1973)/2
Determine z, given that 4*z**5 - 89*z**4 + 102*z**3 + 68*z**2 - 106*z + 21 = 0.
-1, 1/4, 1, 21
Factor t**2/5 + 3*t/5 - 36.
(t - 12)*(t + 15)/5
Factor 2*x**3/17 + 24*x**2/17 + 40*x/17.
2*x*(x + 2)*(x + 10)/17
Solve 3*j**2 + 204*j + 396 = 0 for j.
-66, -2
Factor 2*g**5/5 - 4*g**4/5 - 12*g**3/5 + 8*g**2 - 38*g/5 + 12/5.
2*(g - 2)*(g - 1)**3*(g + 3)/5
Factor 2*s**2/5 - 1844*s/5 + 425042/5.
2*(s - 461)**2/5
Factor 3*n**2 - 2466*n + 4920.
3*(n - 820)*(n - 2)
Factor -3*v**2/2 - 213*v/2 + 219.
-3*(v - 2)*(v + 73)/2
Determine f, given that 2*f**4/7 + 2*f**3 + 16*f**2/7 - 32*f/7 = 0.
-4, 0, 1
Find f, given that f**3/3 - 7*f/3 + 2 = 0.
-3, 1, 2
Determine t so that t**5/3 - 15*t**4 - 145*t**3/3 + 15*t**2 + 48*t = 0.
-3, -1, 0, 1, 48
Solve a**2/3 + 5*a/3 + 4/3 = 0 for a.
-4, -1
Find w such that -5*w**5 + 5*w**4 + 25*w**3 - 25*w**2 - 20*w + 20 = 0.
-2, -1, 1, 2
Factor 2*r**3/3 - 44*r**2 + 246*r + 53792/3.
2*(r - 41)**2*(r + 16)/3
Suppose -31329*a**5/10 - 6195*a**4/2 + 353*a**3/10 - a**2/10 = 0. What is a?
-1, 0, 1/177
Let -2*c**2/11 + 2*c + 52/11 = 0. Calculate c.
-2, 13
Suppose 2*l**3 - 51*l**2/2 - 69*l/2 - 7 = 0. What is l?
-1, -1/4, 14
Factor -5*w**5 - 45*w**4 - 135*w**3 - 135*w**2.
-5*w**2*(w + 3)**3
Factor -5*i**2 - 10800*i - 5832000.
-5*(i + 1080)**2
What is q in -26*q**3/9 - 152*q**2/9 - 106*q/9 + 20/9 = 0?
-5, -1, 2/13
Factor 3*p**4 + 57*p**3 + 315*p**2 + 147*p - 2058.
3*(p - 2)*(p + 7)**3
Factor n**2 - 295*n.
n*(n - 295)
Determine x so that 2*x**3/3 + 3454*x**2/3 + 1492990*x/3 + 1489538/3 = 0.
-863, -1
Factor -m**3 - 90*m**2 + 93*m + 182.
-(m - 2)*(m + 1)*(m + 91)
What is y in 20*y**5 + 75*y**4 - 160*y**3 - 165*y**2 + 50*y = 0?
-5, -1, 0, 1/4, 2
Solve u**3/7 - 4*u**2/7 - 12*u/7 = 0 for u.
-2, 0, 6
Solve x**2/6 + 5*x/2 + 6 = 0 for x.
-12, -3
Factor -22*f**2 - 258*f - 740.
-2*(f + 5)*(11*f + 74)
Factor 3*i**2 + 33*i - 306.
3*(i - 6)*(i + 17)
Find m such that -6*m**2 + 51*m - 105 = 0.
7/2, 5
What is w in 25*w**2 + 380*w + 75 = 0?
-15, -1/5
Solve -23*t**2 - 3218*t + 280 = 0 for t.
-140, 2/23
Determine r, given that 2*r**4/9 + 20*r**3/9 - 2*r**2/3 - 56*r/9 + 40/9 = 0.
-10, -2, 1
Let 4*j**5 - 12*j**4 - 16*j**3 = 0. What is j?
-1, 0, 4
Factor 2*c**4/9 - 424*c**3/3 + 22044*c**2 + 136104*c + 206082.
2*(c - 321)**2*(c + 3)**2/9
Solve 3*q**3 - 5*q**2 - 11*q - 3 = 0.
-1, -1/3, 3
Determine a so that -9*a**5 + 75*a**4 - 108*a**3 - 108*a**2 = 0.
-2/3, 0, 3, 6
Factor -3*i**4 + 189*i**3 - 1380*i**2 + 3348*i - 2640.
-3*(i - 55)*(i - 4)*(i - 2)**2
Solve -o**3/7 - 10*o**2 + 4*o/7 + 40 = 0 for o.
-70, -2, 2
Factor -2*w**2/15 - 2356*w/5 - 2081526/5.
-2*(w + 1767)**2/15
Determine a, given that -a**2/5 + 392*a/5 - 38416/5 = 0.
196
Suppose v**4 + 5*v**3 - 14*v**2 = 0. Calculate v.
-7, 0, 2
Find v such that -v**5/3 + 5*v**4/3 - v**3 - 17*v**2/3 + 28*v/3 - 4 = 0.
-2, 1, 2, 3
Suppose -18*i**4/11 + 2166*i**3/11 - 11144*i**2/11 + 11992*i/11 - 3680/11 = 0. What is i?
2/3, 4, 115
Find i such that -6*i**4 - 2*i**3 + 11*i**2/6 + i/3 - 1/6 = 0.
-1/2, 1/3
Factor -5*u**4 + 65*u**3 - 50*u**2 - 120*u.
-5*u*(u - 12)*(u - 2)*(u + 1)
Factor -3*v**4 + 132*v**2 - 432*v + 384.
-3*(v - 4)*(v - 2)**2*(v + 8)
Factor 2*s**3/3 - 378*s**2 + 754*s - 1130/3.
2*(s - 565)*(s - 1)**2/3
Solve 2*w**5/17 + 98*w**4/17 + 1422*w**3/17 + 5462*w**2/17 + 7040*w/17 + 2904/17 = 0 for w.
-22, -3, -1
Factor -5*g**2 - 910*g - 41405.
-5*(g + 91)**2
Factor o**2 + 321*o - 322.
(o - 1)*(o + 322)
Let 2*k**2/9 - 124*k/9 + 1922/9 = 0. What is k?
31
Factor -l**3 - 699*l**2 - 121800*l + 122500.
-(l - 1)*(l + 350)**2
Suppose -5*n**4 + 65*n**3 - 265*n**2 + 415*n - 210 = 0. What is n?
1, 2, 3, 7
Factor -4*c**4 - 12*c**3 + 24*c**2 + 32*c.
-4*c*(c - 2)*(c + 1)*(c + 4)
Let 540*u**5 + 360*u**4 - 825*u**3 - 445*u**2 + 325*u + 125 = 0. What is u?
-1, -1/3, 5/6
Solve -33*p**5/8 - 105*p**4/8 + 123*p**3/4 + 111*p**2/2 - 57*p - 12 = 0.
-4, -2, -2/11, 1, 2
Factor -4*h**4 - 44*h**3 - 48*h**2 + 704*h + 1792.
-4*(h - 4)*(h + 4)**2*(h + 7)
Factor -4*a**5/7 - 12*a**4/7 + 16*a**3/7.
-4*a**3*(a - 1)*(a + 4)/7
Factor 2*j**2/9 + 214*j/3 + 1276/9.
2*(j + 2)*(j + 319)/9
Factor -15*d**3 + 24*d**2 - 9*d.
-3*d*(d - 1)*(5*d - 3)
Determine y so that -9*y**5 + 42*y**4 - 48*y**3 + 6*y**2 + 9*y = 0.
-1/3, 0, 1, 3
Factor -k**3/2 - 10*k**2 - 79*k/2 - 30.
-(k + 1)*(k + 4)*(k + 15)/2
Solve -2*c**4/7 + 372*c**3/7 - 23064*c**2/7 + 476656*c/7 = 0 for c.
0, 62
Solve -l**5 + 212*l**4/5 + 576*l**3/5 + 406*l**2/5 - 43*l/5 - 18 = 0.
-1, 2/5, 45
Find u such that 5*u**5 + 15*u**4 - 10*u**3 - 30*u**2 + 5*u + 15 = 0.
-3, -1, 1
Find a such that 3*a**3 - 33*a**2 - 36*a = 0.
-1, 0, 12
Determine n so that 2*n**3/7 - 8*n**2 + 56*n = 0.
0, 14
Factor 3*u**3 + 378*u**2 - 2349*u + 3564.
3*(u - 3)**2*(u + 132)
Solve -3*h**5 + 2847*h**4 - 898698*h**3 + 93759090*h**2 + 190225677*h + 95565039 = 0.
-1, 317
Factor -2*k**2/3 + 268*k/3 - 8978/3.
-2*(k - 67)**2/3
Solve a**5 + 39*a**4 + 74*a**3 - 2*a**2 - 75*a - 37 = 0 for a.
-37, -1, 1
Determine y so that -2*y**3/11 + 40*y**2/11 + 42*y/11 = 0.
-1, 0, 21
Factor 12*g**3/7 + 8*g**2 - 20*g/7.
4*g*(g + 5)*(3*g - 1)/7
Find k such that -30*k**3 + 3124*k**2/13 - 4712*k/13 + 48/13 = 0.
2/195, 2, 6
Factor -4*q**2/7 - 254*q/21 - 242/21.
-2*(q + 1)*(6*q + 121)/21
Factor c**5 - 4*c**4 - 45*c**3.
c**3*(c - 9)*(c + 5)
Factor 2*k**2 + 46*k - 100.
2*(k - 2)*(k + 25)
Let -r**5/2 - 41*r**4/6 - 65*r**3/3 + 15*r**2 + 133*r/6 - 49/6 = 0. What is r?
-7, -1, 1/3, 1
Let 2*y**2 + 12*y + 10 = 0. Calculate y.
-5, -1
Factor 4*c**4 - 1796*c**3 + 10668*c**2 - 15948*c.
4*c*(c - 443)*(c - 3)**2
Suppose m**3 + 11*m**2 - 57*m + 45 = 0. Calculate m.
-15, 1, 3
Suppose 105*v**5 - 151*v**4 - 1144*v**3/7 + 648*v**2/7 - 16*v/7 - 16/7 = 0. Calculate v.
-1, -2/15, 2/7, 2
Factor -b**3 + b**2/8 + b - 1/8.
-(b - 1)*(b + 1)*(8*b - 1)/8
Determine s so that s**4/7 + 152*s**3/7 - 229*s**2 + 2746*s/7 - 1296/7 = 0.
-162, 1, 8
Factor 4*k**2/3 + 988*k/3.
4*k*(k + 247)/3
Determine x so that 3*x**5 + 10*x**4 - 15*x**3 - 30*x**2 - 8*x = 0.
-4, -1, -1/3, 0,