Suppose -20*a**5 + 96*a**4 + 700*a**3 - 1464*a**2 - 320*a = 0. Calculate a.
-5, -1/5, 0, 2, 8
Let -9*y**4 + 84*y**3 - 156*y**2 - 144*y = 0. What is y?
-2/3, 0, 4, 6
Solve 3*f**4/4 + 3*f**3/2 - 165*f**2/4 + 66*f + 108 = 0.
-9, -1, 4
Solve -2*s**5/7 + 2*s**4/7 + 20*s**3/7 - 8*s**2/7 - 48*s/7 = 0 for s.
-2, 0, 2, 3
Factor -2*z**2 + 90*z + 392.
-2*(z - 49)*(z + 4)
Solve k**2 + 49*k + 48 = 0.
-48, -1
Factor -u**3 + 15*u**2 + 96*u + 80.
-(u - 20)*(u + 1)*(u + 4)
Find o, given that 3*o**3 - 2583*o**2 = 0.
0, 861
Solve 5*j**2 + 80*j + 195 = 0.
-13, -3
Factor -2*c**3/9 - 80*c**2/9 + 82*c/9.
-2*c*(c - 1)*(c + 41)/9
Factor 2*g**4/7 - 22*g**3/7 + 2*g**2 + 42*g.
2*g*(g - 7)**2*(g + 3)/7
Let 405*n**5 + 180*n**4 - 385*n**3 - 180*n**2 - 20*n = 0. What is n?
-1, -2/9, 0, 1
Factor 361*o**4/7 - 114*o**3/7 - 599*o**2/7 + 96*o/7 + 256/7.
(o - 1)**2*(19*o + 16)**2/7
Let -4*n**4/9 - 2*n**3/9 + 2*n**2/9 = 0. What is n?
-1, 0, 1/2
Determine s so that 16*s**5/7 - 108*s**4/7 + 36*s**3/7 + 208*s**2/7 + 48*s/7 = 0.
-1, -1/4, 0, 2, 6
Factor -3*l**3/4 + 207*l**2/4 - 2013*l/4 - 2223/4.
-3*(l - 57)*(l - 13)*(l + 1)/4
Factor -x**3 + 815*x**2 - 168075*x + 820125.
-(x - 405)**2*(x - 5)
Let -2*a**4/5 + 46*a**3/5 + 10*a**2 - 46*a/5 - 48/5 = 0. Calculate a.
-1, 1, 24
Let 5*p**4 + 20*p**3 + 15*p**2 - 20*p - 20 = 0. Calculate p.
-2, -1, 1
Factor 7*m**5 + 16*m**4 + 11*m**3 + 2*m**2.
m**2*(m + 1)**2*(7*m + 2)
Find t such that -t**2/2 + 112*t - 6272 = 0.
112
What is k in k**3/3 - 8*k**2/3 - 4*k + 48 = 0?
-4, 6
Factor 5*g**3 + 60*g**2 - 215*g + 150.
5*(g - 2)*(g - 1)*(g + 15)
Factor 15*v**4 + 100*v**3 + 60*v**2 - 480*v - 320.
5*(v - 2)*(v + 4)**2*(3*v + 2)
Factor -2*g**3/3 + 16*g**2 + 18*g - 100/3.
-2*(g - 25)*(g - 1)*(g + 2)/3
Suppose -2*j**4/13 - 2*j**3/13 + 4*j**2/13 = 0. What is j?
-2, 0, 1
Factor 2*o**5/11 - 10*o**4/11 + 14*o**3/11 - 6*o**2/11.
2*o**2*(o - 3)*(o - 1)**2/11
Determine a, given that -147*a**4 - 15372*a**3 - 8748*a**2 - 1248*a = 0.
-104, -2/7, 0
Solve -2*x**4 + 20*x**3 + 22*x**2 = 0.
-1, 0, 11
Factor -819*w**2 - 1662*w - 48.
-3*(w + 2)*(273*w + 8)
Factor g**4/4 - 3*g**3 + 21*g**2/2 - 13*g + 21/4.
(g - 7)*(g - 3)*(g - 1)**2/4
Let 4*w**5/3 - 4*w**4/3 - 20*w**3/3 + 4*w**2/3 + 32*w/3 + 16/3 = 0. Calculate w.
-1, 2
Let -p**3 + 668*p**2 + 1340*p = 0. Calculate p.
-2, 0, 670
Let -d**3/2 + 4*d**2 + 6*d - 72 = 0. What is d?
-4, 6
Find j, given that 2*j**5/21 + 46*j**4/21 + 194*j**3/21 + 86*j**2/7 + 36*j/7 = 0.
-18, -3, -1, 0
Let 12*n**5 - 104*n**4/3 + 32*n**3 - 8*n**2 - 4*n/3 = 0. What is n?
-1/9, 0, 1
Determine m, given that 3*m**3 - 15*m**2 - 12*m + 60 = 0.
-2, 2, 5
Factor 8*r**3 - 8*r**2 - 6*r.
2*r*(2*r - 3)*(2*r + 1)
Factor -8*s**2 + 406*s.
-2*s*(4*s - 203)
Determine t, given that -t**3 + 13*t**2 + 168*t = 0.
-8, 0, 21
Factor 3*p**3 + 138*p**2 + 1455*p - 1596.
3*(p - 1)*(p + 19)*(p + 28)
Factor -2*h**2/11 + 1222*h/11.
-2*h*(h - 611)/11
Factor -2*z**2/15 + 7156*z/15 + 2386/5.
-2*(z - 3579)*(z + 1)/15
Factor 47*r**2/2 - 567*r/4 + 9/2.
(r - 6)*(94*r - 3)/4
Determine k so that k**3/9 - 2*k**2/9 - 8*k/9 = 0.
-2, 0, 4
Suppose -2*u**4 - 16*u**3 + 40*u**2 = 0. What is u?
-10, 0, 2
Determine m so that -3*m**2/4 + 63*m/2 - 60 = 0.
2, 40
Factor 4*t**2 + 11072*t + 7661824.
4*(t + 1384)**2
Factor 6*x**2/11 - 444*x/11 + 8214/11.
6*(x - 37)**2/11
Determine h, given that h**4/2 - 3895*h**3 + 15163233*h**2/2 + 15174920*h + 7589408 = 0.
-1, 3896
Factor -4*v**4 - 16*v**3 - 16*v**2.
-4*v**2*(v + 2)**2
Determine j, given that -256*j**4 + 576*j**3 - 116*j**2 - 24*j = 0.
-1/8, 0, 3/8, 2
What is p in p**5 - 42*p**4 + 283*p**3 - 366*p**2 - 284*p + 408 = 0?
-1, 1, 2, 6, 34
Solve -3*s**4 + 30*s**3 + 69*s**2 - 396*s = 0 for s.
-4, 0, 3, 11
Factor -3*f**5 - 33*f**4 - 72*f**3 + 108*f**2.
-3*f**2*(f - 1)*(f + 6)**2
Factor 5*f**2/3 + 65*f/3 + 200/3.
5*(f + 5)*(f + 8)/3
Determine w so that 2*w**3/3 - 40*w**2/3 + 54*w - 60 = 0.
2, 3, 15
Let 2*x**2 - 4*x = 0. Calculate x.
0, 2
Suppose 3*m**5/2 + 12*m**4 - 147*m**3/2 + 6*m**2 + 270*m - 216 = 0. What is m?
-12, -2, 1, 2, 3
Solve -a**3 + 86*a**2 - 85*a = 0.
0, 1, 85
Factor -2*k**2/5 + 616*k + 6168/5.
-2*(k - 1542)*(k + 2)/5
Find b, given that 2*b**2 - 4*b - 30 = 0.
-3, 5
Determine w, given that -9*w**4/5 + 912*w**3/5 - 22798*w**2/5 - 15504*w/5 - 2601/5 = 0.
-1/3, 51
Suppose 15*b**3 - 500*b**2 - 1420*b - 720 = 0. What is b?
-2, -2/3, 36
Factor l**3/5 + 117*l**2 - 2352*l/5 + 2356/5.
(l - 2)**2*(l + 589)/5
Factor -2*k**2 + 14*k - 24.
-2*(k - 4)*(k - 3)
Determine f, given that f**5/5 + 3*f**4/5 - 4*f**3/5 = 0.
-4, 0, 1
Factor 3*a**5 - 3*a**4 - 3*a**3 + 3*a**2.
3*a**2*(a - 1)**2*(a + 1)
Find v, given that 12*v**3/5 + 47*v**2/5 + 32*v/5 - 3/5 = 0.
-3, -1, 1/12
Factor 2*m**4 - 6*m**3 - 38*m**2 + 174*m - 180.
2*(m - 3)**2*(m - 2)*(m + 5)
Factor 12*j**4 - 33*j**3 + 27*j**2 - 3*j - 3.
3*(j - 1)**3*(4*j + 1)
Factor -4*h**4 + 256*h**3 - 3832*h**2 - 8448*h - 4356.
-4*(h - 33)**2*(h + 1)**2
Factor -3*i**5/4 - 15*i**4/4 - 27*i**3/4 - 21*i**2/4 - 3*i/2.
-3*i*(i + 1)**3*(i + 2)/4
Solve -6*r**2/7 - 1032*r/7 - 44376/7 = 0 for r.
-86
Suppose -d**4/9 + d**2/3 + 2*d/9 = 0. What is d?
-1, 0, 2
Factor n**3 + 22*n**2 + 121*n.
n*(n + 11)**2
Determine y so that -4*y**2 - 952*y - 948 = 0.
-237, -1
Factor -5*v**5 - 40*v**4 - 125*v**3 - 190*v**2 - 140*v - 40.
-5*(v + 1)**2*(v + 2)**3
Solve 2*o**2 - 154*o - 996 = 0.
-6, 83
Factor s**4/4 - 25*s**3/4 + 23*s**2/4 + 25*s/4 - 6.
(s - 24)*(s - 1)**2*(s + 1)/4
Factor -u**2 + 3*u + 270.
-(u - 18)*(u + 15)
Solve -2*k**4/5 + 162*k**3/5 + 166*k**2/5 - 162*k/5 - 164/5 = 0 for k.
-1, 1, 82
What is q in q**3/2 + 203*q**2/2 + 497*q + 396 = 0?
-198, -4, -1
Find p such that -2*p**2/17 - 16*p/17 - 14/17 = 0.
-7, -1
Factor -2*l**4/17 + 134*l**3/17 - 2310*l**2/17 + 2178*l/17.
-2*l*(l - 33)**2*(l - 1)/17
Factor -a**4 - 3*a**3 + 169*a**2 - 165*a.
-a*(a - 11)*(a - 1)*(a + 15)
Find o, given that 3*o**5 + 6*o**4 - 42*o**3 + 24*o**2 + 39*o - 30 = 0.
-5, -1, 1, 2
Factor -4*c**2 + 404*c.
-4*c*(c - 101)
Factor 3*u**2 - 39*u + 66.
3*(u - 11)*(u - 2)
Factor 4*z**3 + 32*z**2 - 76*z + 40.
4*(z - 1)**2*(z + 10)
Factor 2*d**4/7 + 22*d**3/7 - 78*d**2/7 + 82*d/7 - 4.
2*(d - 1)**3*(d + 14)/7
Factor 3*a**4/7 + 171*a**3/7 - 174*a**2/7.
3*a**2*(a - 1)*(a + 58)/7
Determine m, given that 9*m**3 - 2715*m**2 + 204303*m + 68403 = 0.
-1/3, 151
Factor 2*q**5/7 + 6*q**4/7 - 48*q**3/7 + 8*q**2.
2*q**2*(q - 2)**2*(q + 7)/7
Solve -2*c**2/13 - 114*c/13 - 700/13 = 0 for c.
-50, -7
Find s, given that 28*s**3/3 - 11360*s**2/3 + 1150604*s/3 + 329672/3 = 0.
-2/7, 203
Determine u so that -u**3 - 15*u**2 - 72*u - 108 = 0.
-6, -3
Factor -3*t**2 - 30*t + 72.
-3*(t - 2)*(t + 12)
Let -f**4 + 25*f**3/3 + 83*f**2/3 + 55*f/3 = 0. Calculate f.
-5/3, -1, 0, 11
Determine a, given that 15*a**5 + 24*a**4 - 96*a**3 - 78*a**2 + 81*a + 54 = 0.
-3, -1, -3/5, 1, 2
Solve -28*c**2/3 + 24*c - 32/3 = 0 for c.
4/7, 2
Find h such that h**3/3 + 26*h**2 + 315*h - 8100 = 0.
-45, 12
Let -3*i**4 + 234*i**3 - 684*i**2 + 678*i - 225 = 0. What is i?
1, 75
Factor -n**3/4 + n.
-n*(n - 2)*(n + 2)/4
Factor -2*l**5/5 - 2*l**4/5 + 4*l**3/5 + 4*l**2/5 - 2*l/5 - 2/5.
-2*(l - 1)**2*(l + 1)**3/5
Factor 3*g**5/2 - 15*g**4 + 117*g**3/2 - 111*g**2 + 102*g - 36.
3*(g - 3)*(g - 2)**3*(g - 1)/2
Suppose -t**4/5 + 21*t**2/5 - 4*t = 0. What is t?
-5, 0, 1, 4
Factor 4*h**3 - 32*h**2 - 180*h - 144.
4*(h - 12)*(h + 1)*(h + 3)
Factor 6*w**3 - 3*w**2 - 6*w + 3.
3*(w - 1)*(w + 1)*(2*w - 1)
Factor -3*c**2/8 - 765*c/4.
-3*c*(c + 510)/8
Find v, given that -2*v**4 + 1148*v**3 - 164738*v**2 = 0.
0, 287
Factor -5*a**2/4 + 25*a.
-5*a*(a - 20)/4
Let -5*l**3 + 75*l**2 - 130*l - 600 = 0. Calculate l.
-2, 5, 12
Factor c**2 + 7138*c + 12737761.
(c + 3569)**2
Determine b, given that -b**4 + 13*b**2 + 12*b = 0.
-3, -1, 0, 4
Factor -q**4 - 68*q**3 + 284*q**2 - 288*q.
-q*(q - 2)**2*(q + 72)
Determine j so that 3*j**3 + 30*j**2 + 96*j + 96 = 0.
-4, -2
Factor 2*u**4/9 + 2020*u**3/3 + 4596506*u**2/9 + 3058280*u/3 + 4584392/9.
2*(u + 1)**2*(u + 1514)**2/9
Find h such that 20*h**5 + 572*h**4 + 5048*h**3 + 12288*h**2 - 5760*h = 0.
-12, -5, 0, 2/5
Factor 3*a**2/2 + 48*a + 384.
3*(a + 16)**2/2
Factor -5*r**4 - 65*r**3 - 235*r**2 - 175*r.
-5*r*(r + 1)*(r + 5)*(r + 7)
Let 85*i**3/4 - 95*i**2/4 + 5*i/2 = 0. What is i?
0, 2/17, 1
Factor 3*h**4 - 60*h**3 - 3588*h**2.
3*h**2*(h - 