Suppose k**4/8 + 35*k**3/4 + 1417*k**2/8 + 840*k + 1152 = 0. Calculate k.
-32, -3
Factor -3*u**2/2 - 3*u - 3/2.
-3*(u + 1)**2/2
Factor -o**2 - 7*o - 10.
-(o + 2)*(o + 5)
Let -n**3 + 7*n**2 + 24*n - 180 = 0. Calculate n.
-5, 6
Find g, given that 4*g**4 - 104*g**3/3 - 332*g**2/3 + 88*g = 0.
-3, 0, 2/3, 11
Suppose -j**2/2 - 5*j + 48 = 0. Calculate j.
-16, 6
Factor 3*g**2 + 1782*g - 1785.
3*(g - 1)*(g + 595)
Find h, given that -4*h**3 - 104*h**2 + 220*h - 112 = 0.
-28, 1
Factor -2*u**2 + 386*u.
-2*u*(u - 193)
Let 3*m**2/5 - 3684*m/5 + 1130988/5 = 0. What is m?
614
Factor -9*b**2 - 681*b - 450.
-3*(b + 75)*(3*b + 2)
Factor t**4/3 + 17*t**3 + 208*t**2 - 676*t/3.
t*(t - 1)*(t + 26)**2/3
Factor -5*l**2 - 380*l + 3360.
-5*(l - 8)*(l + 84)
Determine x so that 2*x**5/9 - 100*x**4/9 - 34*x**3/3 = 0.
-1, 0, 51
Solve -4*w**3 - 32*w**2 = 0.
-8, 0
Factor t**4/3 - 6*t**3 + 16*t**2 - 46*t/3 + 5.
(t - 15)*(t - 1)**3/3
Determine j, given that -9*j**5/4 - 105*j**4/4 - 88*j**3 - 25*j**2 + 184*j - 80 = 0.
-5, -4, 2/3
Factor -a**5 - 69*a**4 - 201*a**3 - 199*a**2 - 66*a.
-a*(a + 1)**3*(a + 66)
Factor -22*x**3/9 - 26*x**2/9 + 16*x/3.
-2*x*(x - 1)*(11*x + 24)/9
Let -5*p**3 - 33160*p**2 - 54979280*p = 0. What is p?
-3316, 0
Suppose 46*g**3/3 - 224*g**2/3 + 82*g + 12 = 0. Calculate g.
-3/23, 2, 3
Suppose 5*t**2 + 7640*t + 2918480 = 0. Calculate t.
-764
Determine m so that -m**4/7 - 10*m**3/7 - 25*m**2/7 = 0.
-5, 0
Let 6*r**2/11 - 160*r/11 + 104/11 = 0. What is r?
2/3, 26
Factor -x**3 + 201*x**2.
-x**2*(x - 201)
What is i in i**3/4 - 7*i**2/4 - 15*i = 0?
-5, 0, 12
Solve -4*l**2 - 1112*l - 77284 = 0.
-139
Factor 5*j**4 + 135*j**3 + 1155*j**2 + 3025*j.
5*j*(j + 5)*(j + 11)**2
Factor o**5/5 - 26*o**4/5 + 229*o**3/5 - 156*o**2 + 180*o.
o*(o - 10)**2*(o - 3)**2/5
Determine g so that 2*g**4/21 - 68*g**3/21 + 142*g**2/7 + 2584*g/21 + 2888/21 = 0.
-2, 19
Factor -3*u**2/5 + 27*u/5 + 1326/5.
-3*(u - 26)*(u + 17)/5
Factor -3*c**3/2 + 54*c**2 - 105*c/2.
-3*c*(c - 35)*(c - 1)/2
Factor r**3/6 + 25*r**2/6 + 3*r - 24.
(r - 2)*(r + 3)*(r + 24)/6
Suppose 2*y**4/7 + 106*y**3/7 + 1938*y**2/7 + 13294*y/7 + 19652/7 = 0. Calculate y.
-17, -2
Find u such that -2*u**5/11 + 10*u**4 - 214*u**3/11 + 106*u**2/11 = 0.
0, 1, 53
Factor 28*l**3 - 160*l**2 - 756*l - 648.
4*(l - 9)*(l + 2)*(7*l + 9)
Let 3*y**4 + 894*y**3 + 3543*y**2 + 4416*y + 1764 = 0. What is y?
-294, -2, -1
Suppose -2*z**2 - 10200*z - 13005000 = 0. What is z?
-2550
Factor -3*q**2/4 + 441*q/4 - 219/2.
-3*(q - 146)*(q - 1)/4
Factor 4*b**2/7 - 244*b/7 + 1320/7.
4*(b - 55)*(b - 6)/7
What is p in 6*p**2 - 14*p + 4 = 0?
1/3, 2
Determine w so that 4*w**2 - 320*w - 1344 = 0.
-4, 84
Factor 3*q**2/7 + 1104*q/7.
3*q*(q + 368)/7
Solve -2*a**4/15 + 22*a**3/5 - 234*a**2/5 + 2366*a/15 = 0 for a.
0, 7, 13
Let -9*f**3 - 300*f**2 - 93*f + 198 = 0. Calculate f.
-33, -1, 2/3
Determine p, given that 2*p**3/7 + 136*p**2 = 0.
-476, 0
Factor -2*h**3/3 + 20*h**2.
-2*h**2*(h - 30)/3
Determine p so that p**5/6 - p**4/6 - 5*p**3/6 - p**2/2 = 0.
-1, 0, 3
Find l, given that 5*l**3 + 150*l**2 + 960*l + 1760 = 0.
-22, -4
Factor -3*y**3/2 + 99*y**2/2 - 201*y - 252.
-3*(y - 28)*(y - 6)*(y + 1)/2
Determine h, given that 3*h**4 - 9*h**3 - 15*h**2 + 9*h + 12 = 0.
-1, 1, 4
Solve -a**2/4 + 8*a + 33/4 = 0 for a.
-1, 33
What is x in -23*x**4/2 + 47*x**3 - 50*x**2 + 4*x = 0?
0, 2/23, 2
Factor d**3/2 - d/2.
d*(d - 1)*(d + 1)/2
Solve 10*d**4/3 + 44*d**3/3 - 70*d**2/3 - 176*d/3 + 40 = 0 for d.
-5, -2, 3/5, 2
Determine p, given that p**2/6 + 41*p/6 + 13 = 0.
-39, -2
Find q such that 4*q**5 - 4*q**4 - 20*q**3 + 20*q**2 + 16*q - 16 = 0.
-2, -1, 1, 2
Let m**4/4 - 3*m**3/4 - 19*m**2/4 + 3*m/4 + 9/2 = 0. Calculate m.
-3, -1, 1, 6
Factor s**4/3 - 15*s**3 + 79*s**2/3 + 99*s + 172/3.
(s - 43)*(s - 4)*(s + 1)**2/3
Suppose 12*d**5 - 15*d**4 - 45*d**3 + 60*d**2 - 12*d = 0. Calculate d.
-2, 0, 1/4, 1, 2
Factor -4*r**2/5 - 2576*r/5 - 414736/5.
-4*(r + 322)**2/5
Factor -2*g**5 + 180*g**4 - 6400*g**3 + 112000*g**2 - 960000*g + 3200000.
-2*(g - 20)**4*(g - 10)
Factor n**5/6 + 61*n**4/6 + 289*n**3/6 + 511*n**2/6 + 197*n/3 + 56/3.
(n + 1)**3*(n + 2)*(n + 56)/6
Let 3*z**5 - 24*z**4 - 99*z**3 - 12*z**2 + 132*z = 0. Calculate z.
-2, 0, 1, 11
Factor n**3/6 - 3*n**2/2 + 4*n/3.
n*(n - 8)*(n - 1)/6
What is r in -5*r**4 + 170*r**3 - 165*r**2 = 0?
0, 1, 33
Let -3*h**4 - 39*h**3 - 120*h**2 - 108*h = 0. Calculate h.
-9, -2, 0
Suppose -3*g**4 + 901*g**3 - 297*g**2 - 901*g + 300 = 0. What is g?
-1, 1/3, 1, 300
Factor -5*h**3 + 28590*h**2 - 54492540*h + 34620927080.
-5*(h - 1906)**3
Factor 2*t**3/19 - 14*t**2/19 - 160*t/19 + 1152/19.
2*(t - 8)**2*(t + 9)/19
Find s, given that -12*s**5 - 32*s**4 + 420*s**3 - 712*s**2 + 192*s = 0.
-8, 0, 1/3, 2, 3
Determine y, given that -2*y**4 + 20*y**3 + 64*y**2 - 768*y = 0.
-6, 0, 8
What is v in -4*v**3 + 2360*v**2 - 9392*v + 9376 = 0?
2, 586
Let 2*n**5/3 - 121*n**4/6 + 281*n**3/3 - 949*n**2/6 + 302*n/3 - 50/3 = 0. What is n?
1/4, 1, 2, 25
Factor -2*g**2/13 + 7012*g/13 - 6146018/13.
-2*(g - 1753)**2/13
Suppose 3*u**5 + 69*u**4 + 606*u**3 + 2484*u**2 + 4536*u + 2592 = 0. Calculate u.
-6, -4, -1
Factor 2*m**4/9 - 2*m**3/3 - 2*m**2/3 + 14*m/9 + 4/3.
2*(m - 3)*(m - 2)*(m + 1)**2/9
Factor 6*k**5/5 + 204*k**4 + 42318*k**3/5 - 17544*k**2 + 44376*k/5.
6*k*(k - 1)**2*(k + 86)**2/5
Determine x, given that 2*x**4/5 - 22*x**3 + 1626*x**2/5 - 1298*x - 8228/5 = 0.
-1, 11, 34
Suppose 4*x**3/7 - 440*x**2/7 + 2124*x/7 - 360 = 0. What is x?
2, 3, 105
Factor -3*u**2/2 + 2445*u/2 - 2439.
-3*(u - 813)*(u - 2)/2
Factor -3*m**2 + 6078*m - 3078507.
-3*(m - 1013)**2
Let 6468*t**4 + 4480*t**3 + 927*t**2 + 36*t - 4 = 0. Calculate t.
-2/7, -1/6, 1/22
Solve -5*l**2/3 + 50*l + 2000/3 = 0.
-10, 40
Let s**4/4 - 3*s**3/2 + 3*s**2/4 + 5*s/2 = 0. What is s?
-1, 0, 2, 5
Suppose -2*b**4/9 + 52*b**3/9 - 226*b**2/9 + 344*b/9 - 56/3 = 0. Calculate b.
1, 2, 21
Solve -4*g**3/17 - 14*g**2/17 + 40*g/17 + 50/17 = 0.
-5, -1, 5/2
Solve 51*h**2 - 2238*h - 264 = 0.
-2/17, 44
Factor d**4/2 - d**3 - 2*d**2 + 4*d.
d*(d - 2)**2*(d + 2)/2
Factor k**5 + 11*k**4 + 10*k**3.
k**3*(k + 1)*(k + 10)
Determine s, given that 2*s**3/9 + 152*s**2/3 + 454*s/9 = 0.
-227, -1, 0
Let v**2 + 835*v + 834 = 0. What is v?
-834, -1
Determine z so that -4*z**5 - 8*z**4 + 176*z**3 - 152*z**2 - 172*z + 160 = 0.
-8, -1, 1, 5
Find d such that -5*d**2 + 175*d + 370 = 0.
-2, 37
Determine r so that -36*r**5 - 32*r**4/5 + 41*r**3 + 6*r**2 - 5*r + 2/5 = 0.
-1, -1/2, 1/10, 2/9, 1
Factor -86*z**2/9 + 8*z/3.
-2*z*(43*z - 12)/9
Determine o so that o**5/5 - 57*o**4/5 - 369*o**3/5 - 571*o**2/5 + 48*o + 756/5 = 0.
-3, -2, 1, 63
Let 5*d**5 + 103*d**4 + 548*d**3 + 64*d**2 - 1120*d + 400 = 0. Calculate d.
-10, -2, 2/5, 1
Find w, given that w**2/4 + 49*w/4 + 69/2 = 0.
-46, -3
Factor -o**2/4 + 39*o/4.
-o*(o - 39)/4
Factor 3*p**2/5 - 327*p.
3*p*(p - 545)/5
Factor 3*y**3/2 - 105*y**2 + 4539*y/2 - 15606.
3*(y - 36)*(y - 17)**2/2
Factor -2*d**2 - 224*d + 690.
-2*(d - 3)*(d + 115)
Factor 5*k**2 + 420*k + 8775.
5*(k + 39)*(k + 45)
Factor 6*j**3/5 + 16*j**2/5 - 8*j - 32/5.
2*(j - 2)*(j + 4)*(3*j + 2)/5
Solve 4*x**4 - 152*x**3 + 1588*x**2 - 2736*x + 1296 = 0.
1, 18
Factor y**5/2 - 12*y**4 + 101*y**3/2 - 55*y**2 - 42*y + 76.
(y - 19)*(y - 2)**3*(y + 1)/2
Factor -6*a**2 + 3*a + 3.
-3*(a - 1)*(2*a + 1)
Find z such that -5*z**4 - 3540*z**3 - 623030*z**2 + 1256700*z - 630125 = 0.
-355, 1
What is d in -6*d**5 - d**4 + 6*d**3 + d**2 = 0?
-1, -1/6, 0, 1
Find u such that 2*u**2 + 460*u + 26450 = 0.
-115
Solve -9*s**4/7 - 137*s**3/7 - 237*s**2/7 + 305*s/7 + 78/7 = 0.
-13, -3, -2/9, 1
Find h such that 4*h**5/3 + 22*h**4/9 - 160*h**3/9 + 146*h**2/9 - 20*h/9 = 0.
-5, 0, 1/6, 1, 2
Suppose 3*q**2 + 12*q - 36 = 0. What is q?
-6, 2
Factor 5*l**3 - 190*l**2 + 525*l.
5*l*(l - 35)*(l - 3)
Factor -3*c**4/4 + 69*c**3/2 + 150*c**2.
-3*c**2*(c - 50)*(c + 4)/4
Factor v**2 + 43*v + 42.
(v + 1)*(v + 42)
Factor -2*s**3/5 + 20*s**2 - 194*s/5 + 96/5.
-2*(s - 48)*(s - 1)**2/5
Factor 2*l**2 - 44*l + 170.
2*(l - 17)*(l - 5)
Determine t, given that 2*t**4/11 - 114*t**3/11 + 1470*t**2/11 - 2606*t/11 + 1248/11 = 0.
1, 16, 39
Determine d so that -3*d**2/5 + 2253*d/5 + 2256/5 = 0.
-1, 752
Suppose -5*o**4 + 65*o**3 - 110*o**2 = 0. Calculate o.
0, 2, 11
What is t in -t**3/4 - 2*t**2 = 0?
-8, 0
Factor -c**2/3 + 6*c.
