 10*l.
5*l*(l - 2)*(l - 1)*(3*l + 1)
Let -j**5/4 + 6*j**4 - 155*j**3/4 + 33*j**2 = 0. Calculate j.
0, 1, 11, 12
Find y such that 9*y**4/2 - 47*y**3/2 + y**2/2 + 47*y/2 - 5 = 0.
-1, 2/9, 1, 5
Factor -i**4 + 11*i**3 - 3*i**2 - 203*i + 196.
-(i - 7)**2*(i - 1)*(i + 4)
Determine o so that o**4/3 - 4*o**3 - 6*o**2 + 108*o + 243 = 0.
-3, 9
Factor 2*o**2/11 - 284*o/11 + 10082/11.
2*(o - 71)**2/11
Factor -2*j**2/3 - 100*j - 1450/3.
-2*(j + 5)*(j + 145)/3
Determine q, given that -3*q**4/2 + 3*q**3/2 + 63*q**2/2 - 3*q/2 - 30 = 0.
-4, -1, 1, 5
Factor -2*j**4 - 5*j**3 + 12*j**2 - j - 4.
-(j - 1)**2*(j + 4)*(2*j + 1)
Solve 4*g**2 - 76*g + 280 = 0.
5, 14
What is m in 12*m**3 + 308*m**2 + 472*m - 192 = 0?
-24, -2, 1/3
What is a in 2*a**2/15 + 218*a/5 - 1316/15 = 0?
-329, 2
Find r, given that -2*r**2 + 12*r - 16 = 0.
2, 4
Find v such that 3*v**3/2 - 153*v**2 + 4050*v - 7500 = 0.
2, 50
Let 4*s**3 + 264*s**2 + 4080*s - 9248 = 0. What is s?
-34, 2
Factor o**4/2 + 45*o**3/2 + 87*o**2/2 + 43*o/2.
o*(o + 1)**2*(o + 43)/2
Let 5*i**4 - 35*i**3 + 45*i**2 + 35*i - 50 = 0. What is i?
-1, 1, 2, 5
Factor -p**2 - 244*p.
-p*(p + 244)
Suppose 2*a**2 - 104*a - 106 = 0. What is a?
-1, 53
Determine i so that -2*i**2/5 + 3296*i/5 - 1357952/5 = 0.
824
Let -c**5/2 - 3*c**4/2 + 2*c**3 = 0. What is c?
-4, 0, 1
Determine n, given that -2*n**4 + 1668*n**3 - 344426*n**2 - 1397784*n - 1404488 = 0.
-2, 419
What is g in -3*g**2 + 156*g - 300 = 0?
2, 50
Determine d, given that 14*d**2 + 30*d - 36 = 0.
-3, 6/7
Determine q so that 2*q**2/17 - 128*q/17 + 248/17 = 0.
2, 62
Determine i, given that 4*i**4 + 99*i**3 + 547*i**2 - 819*i + 169 = 0.
-13, 1/4, 1
Factor -2*n**3/5 + 8*n**2 + 88*n/5.
-2*n*(n - 22)*(n + 2)/5
Suppose 31*b**3 + 43*b**2 + 12*b = 0. What is b?
-1, -12/31, 0
Factor -3*d**2/5 - 231*d/5 + 234/5.
-3*(d - 1)*(d + 78)/5
Determine y, given that 4*y**5 + 100*y**4 + 572*y**3 - 676*y**2 = 0.
-13, 0, 1
Let 5*h**2 - 50*h + 80 = 0. What is h?
2, 8
Factor -i**2/11 - 5*i - 250/11.
-(i + 5)*(i + 50)/11
Factor -2*j**3 - 1044*j**2 - 181656*j - 10536048.
-2*(j + 174)**3
Find u such that 3*u**4 + 60*u**3 + 54*u**2 - 60*u - 57 = 0.
-19, -1, 1
Factor -4*z**3 + 189*z**2.
-z**2*(4*z - 189)
Suppose -f**5/3 - 7*f**4 - 38*f**3/3 + 2*f**2/3 + 13*f + 19/3 = 0. What is f?
-19, -1, 1
Factor -21*y**2/5 - 132*y/5 - 36/5.
-3*(y + 6)*(7*y + 2)/5
Suppose -5*z**4 - 20*z**3 + 80*z**2 + 80*z - 240 = 0. What is z?
-6, -2, 2
Let -6*x**5/5 - 168*x**4/5 + 834*x**3/5 + 2148*x**2/5 + 1152*x/5 = 0. What is x?
-32, -1, 0, 6
Factor -2*i**2/17 + 36*i - 1216/17.
-2*(i - 304)*(i - 2)/17
Solve 4*k**2 - 2912*k - 2916 = 0 for k.
-1, 729
Solve p**2 + 93*p = 0.
-93, 0
Determine p, given that -2*p**2 + 328*p - 13448 = 0.
82
Solve 2*z**5/7 + 4*z**4/7 - 12*z**3/7 - 16*z**2/7 + 10*z/7 + 12/7 = 0 for z.
-3, -1, 1, 2
Determine v, given that -2*v**2 + 80*v + 168 = 0.
-2, 42
Suppose 138675*v**2/7 + 23220*v/7 + 972/7 = 0. What is v?
-18/215
Factor -3*g**2 + 540*g - 2112.
-3*(g - 176)*(g - 4)
Let 5*m**2 - 2100*m + 4180 = 0. What is m?
2, 418
Factor -3*f**3/5 + 18*f**2/5 - 3*f - 36/5.
-3*(f - 4)*(f - 3)*(f + 1)/5
Factor -l**2/8 + 3625*l/8.
-l*(l - 3625)/8
Factor h**2/10 - 2*h + 19/10.
(h - 19)*(h - 1)/10
Factor g**5 + 22*g**4 + 41*g**3 + 20*g**2.
g**2*(g + 1)**2*(g + 20)
Factor -l**2/7 + 5*l/7 - 6/7.
-(l - 3)*(l - 2)/7
Factor j**2/5 - 18*j/5 + 17/5.
(j - 17)*(j - 1)/5
Factor -92*y**3 - 544*y**2 + 48*y.
-4*y*(y + 6)*(23*y - 2)
Suppose 3*r**4/5 + 36*r**3/5 - 81*r**2/5 + 42*r/5 = 0. Calculate r.
-14, 0, 1
Factor 14*k**3 - 200*k**2 + 518*k - 132.
2*(k - 11)*(k - 3)*(7*k - 2)
Solve -n**5/2 + 55*n**4/2 - 485*n**3 + 2375*n**2 + 12635*n/2 + 6859/2 = 0 for n.
-1, 19
Factor 2*v**5 - 4*v**4 - 8*v**3 + 4*v**2 + 6*v.
2*v*(v - 3)*(v - 1)*(v + 1)**2
Find b, given that 6498*b**2/7 - 24168*b/7 + 22472/7 = 0.
106/57
Factor 24*s**3 + 140*s**2 - 24*s.
4*s*(s + 6)*(6*s - 1)
Let v**2 + 75*v + 74 = 0. What is v?
-74, -1
What is c in -4*c**3 - 44*c**2 - 72*c = 0?
-9, -2, 0
Suppose 2*d**4/3 - 1376*d**3/3 + 235292*d**2/3 + 158240*d + 79350 = 0. Calculate d.
-1, 345
Factor -2*p**5 + 6*p**4 - 4*p**3.
-2*p**3*(p - 2)*(p - 1)
Let -45*l**5 - 1745*l**4 + 2280*l**3 + 3180*l**2 - 800*l = 0. What is l?
-40, -1, 0, 2/9, 2
Factor -2*b**4 + 110*b**3 - 1338*b**2 - 4814*b - 3364.
-2*(b - 29)**2*(b + 1)*(b + 2)
Suppose 2*p**5 - 56*p**4/5 - 494*p**3/5 + 412*p**2/5 + 248*p + 80 = 0. Calculate p.
-5, -1, -2/5, 2, 10
Factor -2*l**3/7 - 276*l**2/7 - 12696*l/7 - 194672/7.
-2*(l + 46)**3/7
Suppose 8*r**4 - 48*r**3 - 6*r**2 + 38*r - 12 = 0. Calculate r.
-1, 1/2, 6
Suppose -5*o**2/4 + 5*o/4 + 15 = 0. Calculate o.
-3, 4
Determine f so that -f**3 - 65*f**2 + 68*f + 132 = 0.
-66, -1, 2
Determine w, given that 2*w**5/15 - 8*w**4/5 + 26*w**3/5 - 56*w**2/15 = 0.
0, 1, 4, 7
Factor 3*k**4/8 + 5475*k**3/8 + 416556*k**2 + 84699264*k + 84283392.
3*(k + 1)*(k + 608)**3/8
Suppose 5*o**4 + 145*o**3 - 645*o**2 + 495*o = 0. What is o?
-33, 0, 1, 3
Determine s so that -4*s**3 + 12*s**2 + 100*s - 300 = 0.
-5, 3, 5
Factor 2*c**4 + 22*c**3 - 50*c**2 + 26*c.
2*c*(c - 1)**2*(c + 13)
Suppose -u**3 + 9*u**2 - 8*u = 0. Calculate u.
0, 1, 8
Factor 261*j**2 - 525*j + 6.
3*(j - 2)*(87*j - 1)
Determine w, given that 4*w**4/3 - 38*w**3/3 + 26*w**2 - 58*w/3 + 14/3 = 0.
1/2, 1, 7
What is m in 5*m**4 - 10*m**3 + 10*m - 5 = 0?
-1, 1
Factor 1372*m**5 + 11172*m**4 - 10248*m**3 + 2992*m**2 - 288*m.
4*m*(m + 9)*(7*m - 2)**3
Factor -15*c**3 + 25*c**2 - 10*c.
-5*c*(c - 1)*(3*c - 2)
Find h such that -16*h**4/5 + 8*h**3 + 31*h**2/5 - 22*h/5 + 3/5 = 0.
-1, 1/4, 3
Suppose f**3/3 + 43*f**2/3 + 53*f + 39 = 0. What is f?
-39, -3, -1
Factor 29584*r**3/3 - 57104*r**2/3 - 1364*r - 24.
4*(r - 2)*(86*r + 3)**2/3
Solve -5*j**2 + 340*j + 3465 = 0.
-9, 77
Suppose 2*f**5/13 - 240*f**4/13 - 982*f**3/13 - 1236*f**2/13 - 496*f/13 = 0. Calculate f.
-2, -1, 0, 124
Determine c so that c**4/3 - 29*c**3/3 - 65*c**2/3 + 31*c = 0.
-3, 0, 1, 31
Suppose 5*j**5 - 10*j**4 + 10*j**2 - 5*j = 0. Calculate j.
-1, 0, 1
Suppose h**2 - 210*h + 11025 = 0. What is h?
105
Solve 2*a**4/5 - 288*a**3 = 0 for a.
0, 720
Let u**3 - 233*u**2 + 15688*u - 235956 = 0. What is u?
21, 106
Find q, given that 5*q**3 - 1200*q**2 + 96000*q - 2560000 = 0.
80
Determine j so that -3*j**5 + 18*j**4 - 6*j**3 - 60*j**2 + 81*j - 30 = 0.
-2, 1, 5
Suppose 2*w**2/3 - 4*w/3 - 16/3 = 0. What is w?
-2, 4
What is l in -2*l**2/5 + 74*l/5 + 2436/5 = 0?
-21, 58
Suppose -4*z**4/7 - 24*z**3/7 - 36*z**2/7 + 16*z/7 + 48/7 = 0. Calculate z.
-3, -2, 1
Suppose -4*n**2 + 112*n - 108 = 0. Calculate n.
1, 27
Determine g so that -3*g**4/4 + 15*g**3/2 - 12*g**2 - 135*g/2 + 675/4 = 0.
-3, 3, 5
Factor 2*m**2/11 - 108*m/11 + 86.
2*(m - 43)*(m - 11)/11
Factor -2*p**4 - 10*p**3 - 8*p**2.
-2*p**2*(p + 1)*(p + 4)
Suppose -2*z**3/11 + 20*z**2/11 + 48*z/11 = 0. What is z?
-2, 0, 12
Find y such that -7*y**3/9 + 8*y**2/9 + 116*y/9 + 16 = 0.
-2, 36/7
Determine x so that -2*x**2/3 - 4*x/3 + 16 = 0.
-6, 4
Solve -x**4/7 - 32*x**3/7 - 225*x**2/7 + 326*x/7 + 520/7 = 0.
-20, -13, -1, 2
Factor -338*k**3/9 + 5590*k**2/9 + 878*k/3 + 34.
-2*(k - 17)*(13*k + 3)**2/9
Factor 50*f**2/7 + 54120*f/7 + 14644872/7.
2*(5*f + 2706)**2/7
Determine y so that -8*y**3/5 + 1702*y**2/5 - 592*y + 1266/5 = 0.
3/4, 1, 211
Let 4*f**3 + 192*f**2 + 548*f + 360 = 0. What is f?
-45, -2, -1
Factor -2*v**2 - 32*v - 56.
-2*(v + 2)*(v + 14)
Find o such that -o**5 + 13*o**4/5 + 26*o**3/5 + 8*o**2/5 = 0.
-1, -2/5, 0, 4
Let 5*o**5 + 35*o**4 - 55*o**3 - 115*o**2 + 50*o + 80 = 0. What is o?
-8, -1, 1, 2
Factor 4*t**3/3 + 8*t**2 + 12*t + 16/3.
4*(t + 1)**2*(t + 4)/3
Factor 3*n**4 + 42*n**3 - 3*n**2 - 42*n.
3*n*(n - 1)*(n + 1)*(n + 14)
Factor -g**3 + 2*g**2 + g - 2.
-(g - 2)*(g - 1)*(g + 1)
Factor 33*k**5/8 + 45*k**4/4 + 81*k**3/8 + 3*k**2.
3*k**2*(k + 1)**2*(11*k + 8)/8
Find v such that v**2/2 - 729*v/2 = 0.
0, 729
Factor -d**4 + 69*d**3 - 201*d**2 + 199*d - 66.
-(d - 66)*(d - 1)**3
Determine t, given that -5*t**2 + 45*t - 40 = 0.
1, 8
Factor n**4/2 - 17*n**3/2.
n**3*(n - 17)/2
Let 25*v**4 - 29*v**3 - 21*v**2 + 29*v - 4 = 0. What is v?
-1, 4/25, 1
Find v, given that -2*v**2 - 182*v - 528 = 0.
-88, -3
Find o such that -12*o**5/7 + 9*o**4/7 + 39*o**3/7 - 51*o**2/7 + 9*o/7 + 6/7 = 0.
-2, -1/4, 1
Factor 10*o**3 + 213*o**2/2 - 83*o/2 - 33.
(o + 11)*(4*o - 3)*(5*o + 2)