 4*u**2 + 20*u - 96.
4*(u - 3)*(u + 8)
Let 2*z**4 - 54*z**3 - 483*z**2/2 - 200*z - 93/2 = 0. What is z?
-3, -1/2, 31
Factor -d**4 - 20*d**3 - 99*d**2 + 20*d + 100.
-(d - 1)*(d + 1)*(d + 10)**2
Factor 4*y**2 + 64*y + 60.
4*(y + 1)*(y + 15)
Factor 3*h**2 + 561*h + 2196.
3*(h + 4)*(h + 183)
Factor -3*s**4 + 45*s**3 - 12*s**2 - 1260*s - 1200.
-3*(s - 10)**2*(s + 1)*(s + 4)
Solve -s**4/2 - 15*s**3/2 + 47*s**2 - 60*s = 0 for s.
-20, 0, 2, 3
Factor r**2/2 - 1027*r/2 - 1029.
(r - 1029)*(r + 2)/2
Let -98*d**5 + 336*d**4 - 274*d**3 - 52*d**2 + 72*d + 16 = 0. Calculate d.
-2/7, 1, 2
Find l such that -l**2/4 - 30*l - 900 = 0.
-60
Factor 5*i**4 + 15*i**3 + 10*i**2.
5*i**2*(i + 1)*(i + 2)
Solve -4*a**5 - 30*a**4 - 82*a**3 - 102*a**2 - 58*a - 12 = 0 for a.
-3, -2, -1, -1/2
Let 128*b**2/13 - 96*b/13 + 18/13 = 0. What is b?
3/8
Find c, given that 21*c**2/4 + 15*c - 9/4 = 0.
-3, 1/7
Determine t, given that -t**4/2 + t**3/2 + 18*t**2 - 18*t = 0.
-6, 0, 1, 6
Factor 3*d**5 + 15*d**4 - 3*d**3 - 15*d**2.
3*d**2*(d - 1)*(d + 1)*(d + 5)
Factor 3*q**4 + 18*q**3 - 585*q**2 + 1428*q + 5292.
3*(q - 7)**2*(q + 2)*(q + 18)
Find b such that 3*b**2/5 + 66*b/5 - 69/5 = 0.
-23, 1
Determine z so that -3*z**3/7 + 15*z**2/7 - 18*z/7 = 0.
0, 2, 3
Solve -3*s**3/2 + 48*s**2 - 681*s/2 - 390 = 0 for s.
-1, 13, 20
Suppose -c**2/3 - 272*c/3 - 18496/3 = 0. Calculate c.
-136
Solve -3*t**2 + 144*t - 1728 = 0 for t.
24
Find u, given that -u**2/2 - 25*u + 168 = 0.
-56, 6
Solve -2*f**4/3 + 6*f**3 + 692*f**2/3 + 224*f = 0 for f.
-14, -1, 0, 24
Factor 27*v**2/4 + 55*v/4 + 7.
(v + 1)*(27*v + 28)/4
Factor 4*l**2 + 836*l.
4*l*(l + 209)
Determine q, given that -3*q**5/5 + 281*q**4/5 - 462*q**3/5 + 184*q**2/5 = 0.
0, 2/3, 1, 92
Suppose 4*m**3 - 184*m**2 - 1004*m - 816 = 0. What is m?
-4, -1, 51
Let 4*y**3 - 246*y**2 + 3720*y + 1922 = 0. What is y?
-1/2, 31
What is n in -2*n**5/9 - 20*n**4/9 + 74*n**3/9 + 332*n**2/9 + 80*n/3 = 0?
-12, -2, -1, 0, 5
Factor -2*q**2 - 20*q - 18.
-2*(q + 1)*(q + 9)
Let -t**2/7 + 85*t/7 - 246/7 = 0. Calculate t.
3, 82
Factor -3*c**2/4 - 18*c - 33.
-3*(c + 2)*(c + 22)/4
Factor -529*n**4 - 1593*n**3 - 1605*n**2 - 547*n - 6.
-(n + 1)**3*(529*n + 6)
Find w such that 5*w**3 - 5*w**2 - 45*w + 45 = 0.
-3, 1, 3
Factor 250*j**3 + 1005*j**2 + 20*j.
5*j*(j + 4)*(50*j + 1)
What is r in -r**4/4 + r**3/2 + 3*r**2 - 9*r/2 - 27/4 = 0?
-3, -1, 3
Factor -6615*l**2 + 420*l - 20/3.
-5*(63*l - 2)**2/3
Factor -5*u**2 + 155*u + 160.
-5*(u - 32)*(u + 1)
What is v in -5*v**4/3 + 70*v**3/3 - 60*v**2 - 360*v + 1440 = 0?
-4, 6
Factor 24565*d**4 - 82365*d**3 + 27030*d**2 - 3100*d + 120.
5*(d - 3)*(17*d - 2)**3
Factor -4*t**3/3 + 172*t**2/3 - 1856*t/3 + 4928/3.
-4*(t - 28)*(t - 11)*(t - 4)/3
Factor 3*m**4 + 231*m**3 - 483*m**2 - 711*m.
3*m*(m - 3)*(m + 1)*(m + 79)
Let 9*b**2/5 - 228*b/5 - 156/5 = 0. Calculate b.
-2/3, 26
Factor -2*b**3/5 - 6*b**2/5 + 72*b/5 - 64/5.
-2*(b - 4)*(b - 1)*(b + 8)/5
Factor 3*q**2 + 372*q.
3*q*(q + 124)
Determine j, given that j**2 + 106*j + 2809 = 0.
-53
Let 2*g**2/3 - 568*g/3 - 190 = 0. Calculate g.
-1, 285
Find l, given that -l**4/6 + l**3/3 + 4*l**2/3 = 0.
-2, 0, 4
Factor -s**3/3 + 4*s**2/3 + 4*s.
-s*(s - 6)*(s + 2)/3
Suppose -15*q**5 + 147*q**4 - 345*q**3 - 75*q**2 = 0. Calculate q.
-1/5, 0, 5
Factor -2*k**3/3 - 152*k**2/3 - 1706*k/3 + 620.
-2*(k - 1)*(k + 15)*(k + 62)/3
Factor -2*m**3/7 - 156*m**2 - 150144*m/7 - 295936/7.
-2*(m + 2)*(m + 272)**2/7
Solve z**2/5 + 3*z/5 = 0.
-3, 0
Factor -v**2/3 - 279*v - 836/3.
-(v + 1)*(v + 836)/3
Suppose k**4/5 - 2*k**3/5 - k**2/5 + 2*k/5 = 0. What is k?
-1, 0, 1, 2
Let 5*t**2 - 16500*t + 13612500 = 0. What is t?
1650
Let -i**4 + 11*i**3 + 13*i**2 - 11*i - 12 = 0. Calculate i.
-1, 1, 12
Factor -2*f**5/5 + 24*f**4/5 - 8*f**3.
-2*f**3*(f - 10)*(f - 2)/5
Let -p**2/6 + 107*p/3 - 11449/6 = 0. Calculate p.
107
Let -k**4/6 - k**3/3 + 19*k**2/6 + 16*k/3 - 8 = 0. What is k?
-4, -3, 1, 4
Factor -4*s**2 + 52*s - 168.
-4*(s - 7)*(s - 6)
Determine u so that 2*u**2 - 56*u + 264 = 0.
6, 22
Factor 3*i**2/7 + 6528*i/7 + 3551232/7.
3*(i + 1088)**2/7
What is f in -2*f**3/5 + 328*f**2/5 - 2754*f + 26244/5 = 0?
2, 81
Find h, given that -48*h**5/5 - 448*h**4/5 + 2812*h**3/5 - 4392*h**2/5 + 400*h - 224/5 = 0.
-14, 1/6, 1/2, 2
Let l**3/2 - 43*l**2/2 + 231*l/2 - 333/2 = 0. Calculate l.
3, 37
Factor 5*f**2 + 190*f - 615.
5*(f - 3)*(f + 41)
Find b, given that -b**5/5 + 8*b**4/5 + 3*b**3/5 - 22*b**2/5 - 16*b/5 = 0.
-1, 0, 2, 8
Factor 5*a**2 + 110*a - 115.
5*(a - 1)*(a + 23)
Factor -5*v**3 - 35*v**2 + 345*v - 585.
-5*(v - 3)**2*(v + 13)
Find q, given that 5*q**3 - 25*q**2 + 10*q + 40 = 0.
-1, 2, 4
Factor -2*y**5/13 - 502*y**4/13 - 30740*y**3/13 + 95252*y**2/13 - 96266*y/13 + 32258/13.
-2*(y - 1)**3*(y + 127)**2/13
Factor -g**3/5 - 4*g**2/5 - 3*g/5.
-g*(g + 1)*(g + 3)/5
Suppose -4*k**2/5 + 936*k/5 - 54756/5 = 0. What is k?
117
Determine y, given that -3*y**3 - 3*y**2 + 27*y + 27 = 0.
-3, -1, 3
Let 2*l**5 - 58*l**4/15 - 4*l**3/15 + 4*l**2 - 26*l/15 - 2/15 = 0. Calculate l.
-1, -1/15, 1
Factor 4*v**2 - 672*v + 668.
4*(v - 167)*(v - 1)
Solve -3*i**5 - 22*i**4 - 23*i**3 + 8*i**2 + 12*i = 0 for i.
-6, -1, 0, 2/3
Suppose -216*k**4/5 - 33*k**3/5 + 882*k**2/5 + 132*k/5 - 72/5 = 0. What is k?
-2, -3/8, 2/9, 2
Factor -2*o**3/15 - 38*o**2/15 - 16*o/5 + 96.
-2*(o - 5)*(o + 12)**2/15
Find a such that -4*a**2/7 + 24*a/7 - 20/7 = 0.
1, 5
Find j, given that -4*j**2/3 + 3408*j + 20464/3 = 0.
-2, 2558
Solve -3*w**5 - 666*w**4 + 2040*w**3 + 3366*w**2 - 2037*w - 2700 = 0.
-225, -1, 1, 4
Suppose l**3/5 - 221*l**2/5 + 1120*l - 37828/5 = 0. Calculate l.
14, 193
Factor -b**4 - 66*b**3 + 3*b**2 + 196*b - 132.
-(b - 1)**2*(b + 2)*(b + 66)
Determine g, given that -2*g**4 + 5536*g**3 - 3825372*g**2 - 7667360*g - 3836450 = 0.
-1, 1385
Determine k so that -2*k**2/13 + 2*k/13 + 12/13 = 0.
-2, 3
Factor -3*c**2 - 321*c - 4140.
-3*(c + 15)*(c + 92)
Let 3*z**5/2 - 27*z**4 + 243*z**3/2 - 156*z**2 - 90*z + 216 = 0. Calculate z.
-1, 2, 3, 12
Find w, given that -3*w**5 - 495*w**4 - 21150*w**3 - 60510*w**2 - 59535*w - 19683 = 0.
-81, -1
What is s in -25*s**5 + 5*s**4 = 0?
0, 1/5
Solve 5*i**2 + 120*i + 720 = 0.
-12
Factor 4*f**4 + 216*f**3 + 3316*f**2 + 10800*f + 10000.
4*(f + 2)**2*(f + 25)**2
Factor 4*z**3 - 200*z**2 + 2500*z.
4*z*(z - 25)**2
Let 2*l**2/11 - 30*l/11 - 32/11 = 0. Calculate l.
-1, 16
Factor 2*v**3/5 + 26*v**2 - 1352*v/5 - 296.
2*(v - 10)*(v + 1)*(v + 74)/5
Find x, given that x**2/3 - 488*x/3 + 59536/3 = 0.
244
Let -2*f**3/7 - 18*f**2/7 + 4320*f/7 - 65664/7 = 0. What is f?
-57, 24
Suppose -15*v**5/2 + 27*v**4 - 51*v**3/2 + 6*v = 0. What is v?
-2/5, 0, 1, 2
Suppose 6*n**3 - 9*n**2 - 54*n - 24 = 0. What is n?
-2, -1/2, 4
Let -3*t**2 + 1356*t - 153228 = 0. Calculate t.
226
Determine o, given that 9*o**2/4 - 49*o/4 + 33/2 = 0.
22/9, 3
Factor w**2/2 - 11*w/2 - 21.
(w - 14)*(w + 3)/2
Determine s so that 3*s**2 - 2976*s + 738048 = 0.
496
Find h such that -2*h**2/3 + 196*h/3 - 4802/3 = 0.
49
Determine a so that a**3/2 + 16*a**2 + 61*a/2 + 15 = 0.
-30, -1
Factor 5*a**4 - 115*a**3 + 300*a**2.
5*a**2*(a - 20)*(a - 3)
Factor -4*w**2 + 248*w + 252.
-4*(w - 63)*(w + 1)
Find t, given that -2*t**4 + 6*t**3 + 38*t**2 - 6*t - 36 = 0.
-3, -1, 1, 6
Factor -t**4/10 + 4*t**3/5 + 7*t**2/5 - 24*t/5 + 27/10.
-(t - 9)*(t - 1)**2*(t + 3)/10
Solve -2*w**5 - 96*w**4 - 1144*w**3 + 384*w**2 + 4608*w = 0.
-24, -2, 0, 2
Factor 6*m**5/11 - 26*m**4/11 + 32*m**3/11 - 8*m**2/11.
2*m**2*(m - 2)**2*(3*m - 1)/11
Factor a**3/4 - 3*a**2/2 - 45*a + 350.
(a - 10)**2*(a + 14)/4
Find u such that -3*u**2/5 - 225*u + 1128/5 = 0.
-376, 1
Factor 105*w**2 - 670*w + 240.
5*(w - 6)*(21*w - 8)
Determine g so that -7*g**2 - 43*g/2 + 57/2 = 0.
-57/14, 1
Factor 21*k**2/2 - 109*k + 197/2.
(k - 1)*(21*k - 197)/2
Solve h**5 + 45*h**4 + 43*h**3 - 45*h**2 - 44*h = 0.
-44, -1, 0, 1
Determine t, given that -2*t**2/11 + 32/11 = 0.
-4, 4
Factor 5*d**2 + 75*d - 80.
5*(d - 1)*(d + 16)
Find f such that 2*f**5 + 46*f**4 + 126*f**3 + 122*f**2 + 40*f = 0.
-20, -1, 0
Factor -p**2/8 + 11*p/4 - 21/8.
-(p - 21)*(p - 1)/8
Factor -350*c**3 + 480*c**2 - 216*c + 32.
-2*(5*c - 2)**2*(7*c - 4)
Determine c, given that c**2/4 - 9821*c/2 + 96452041/4 = 0.
9821
Solve -2*c**2/17 - 228*c + 3878/17 = 0 for c.
-1939, 1
What is p in p**3/6 + 31*p**2/2 + 61*p/2 + 91/6 = 0?
-9