*(f - 2)**3*(f - 1)
Let 2*j**2/7 + 8*j/7 - 24/7 = 0. What is j?
-6, 2
Factor -3*n**4 - 18*n**3 + 141*n**2 + 504*n - 2352.
-3*(n - 4)**2*(n + 7)**2
Let -a**5/4 - 23*a**4/4 - 21*a**3/4 + 23*a**2/4 + 11*a/2 = 0. Calculate a.
-22, -1, 0, 1
Factor 3*h**4 - 37*h**3 - 116*h**2 - 60*h.
h*(h - 15)*(h + 2)*(3*h + 2)
Factor -m**4/5 - 33*m**3/5 + 151*m**2/5 + 93*m/5 - 666/5.
-(m - 3)**2*(m + 2)*(m + 37)/5
Let -p**2 + 7*p - 12 = 0. Calculate p.
3, 4
Find k, given that -k**5/5 + 3*k**4 - 58*k**3/5 - 18*k**2/5 + 203*k/5 + 147/5 = 0.
-1, 3, 7
Determine c so that -c**2 + 259*c - 258 = 0.
1, 258
Factor 2*p**4/7 + 16*p**3 + 1328*p**2/7 - 960*p + 7200/7.
2*(p - 2)**2*(p + 30)**2/7
Factor -3*i**3 - 279*i**2.
-3*i**2*(i + 93)
Factor 3*b**5/8 + 9*b**4/8 - 3*b**3/8 - 33*b**2/8 - 9*b/2 - 3/2.
3*(b - 2)*(b + 1)**3*(b + 2)/8
Determine f so that 5*f**3 - 4375*f**2 - 8770*f = 0.
-2, 0, 877
Factor h**2/3 - 23*h/3 + 22/3.
(h - 22)*(h - 1)/3
Factor -x**2/6 - 25*x/6.
-x*(x + 25)/6
Factor -5*m**3 + 20*m.
-5*m*(m - 2)*(m + 2)
Let h**4 - 4*h**3 + 16*h - 16 = 0. Calculate h.
-2, 2
Factor d**3/2 + 3*d**2 - 9*d/2 - 7.
(d - 2)*(d + 1)*(d + 7)/2
Let -240*h**5 - 764*h**4 - 848*h**3 - 360*h**2 - 32*h + 4 = 0. What is h?
-1, -1/4, 1/15
Factor -d**3/10 + 39*d**2/10 - 18*d/5 - 38/5.
-(d - 38)*(d - 2)*(d + 1)/10
Factor 2*j**3/5 + 2*j**2/5.
2*j**2*(j + 1)/5
Let -6*g**2/13 - 8*g/13 - 2/13 = 0. What is g?
-1, -1/3
Factor -3*r**2 - 1548*r.
-3*r*(r + 516)
Let w**5/5 - 21*w**4/5 + 49*w**3/5 + 93*w**2/5 - 10*w - 72/5 = 0. What is w?
-1, 1, 4, 18
Suppose 6*i**4 - 64*i**3 + 202*i**2 - 80*i - 352 = 0. Calculate i.
-1, 11/3, 4
Factor -430*l**4 + 1285*l**3 + 15*l**2.
-5*l**2*(l - 3)*(86*l + 1)
Let -h**4 - 10*h**3 - 24*h**2 - 22*h - 7 = 0. What is h?
-7, -1
Determine w, given that -4*w**3 + 28*w + 24 = 0.
-2, -1, 3
Factor 6*g**3/7 - 126*g**2 + 876*g/7.
6*g*(g - 146)*(g - 1)/7
Solve 21*a**2 - 855*a - 246 = 0 for a.
-2/7, 41
Factor -2*h**3/7 + 2*h**2/7 + 16*h + 288/7.
-2*(h - 9)*(h + 4)**2/7
Find w such that -3*w**4 + 159*w**3 - 2331*w**2 + 5925*w - 3750 = 0.
1, 2, 25
Factor 2*c**3 - 60*c**2 + 450*c.
2*c*(c - 15)**2
Determine g, given that -2*g**5/3 + 68*g**4/9 - 88*g**3/3 + 368*g**2/9 - 256/9 = 0.
-2/3, 2, 4
Factor -36*y**3 - 1664*y**2 - 368*y.
-4*y*(y + 46)*(9*y + 2)
Factor -g**5/5 - 8*g**4/5 - 24*g**3/5 - 34*g**2/5 - 23*g/5 - 6/5.
-(g + 1)**3*(g + 2)*(g + 3)/5
Factor 2*o**4 + 4*o**3 - 6*o**2.
2*o**2*(o - 1)*(o + 3)
Factor c**2/2 - 21*c + 441/2.
(c - 21)**2/2
Solve -12*g**4 + 116*g**3/3 + 832*g**2 - 560*g/3 = 0 for g.
-7, 0, 2/9, 10
Factor -2*q**3/3 - 6*q**2 + 68*q/3 - 16.
-2*(q - 2)*(q - 1)*(q + 12)/3
Factor -2*q**2 - 68*q - 66.
-2*(q + 1)*(q + 33)
Factor 2*t**4/9 - 4*t**3/3 + 10*t**2/9 + 16*t/3 - 8.
2*(t - 3)**2*(t - 2)*(t + 2)/9
Suppose -4*n**5 - 20*n**4 - 20*n**3 + 20*n**2 + 24*n = 0. What is n?
-3, -2, -1, 0, 1
Solve 5*f**2 - 210*f + 205 = 0 for f.
1, 41
Factor -3*x**3/5 - 9*x**2/5 + 264*x/5 - 144.
-3*(x - 5)*(x - 4)*(x + 12)/5
What is f in f**5/3 + 35*f**4/3 - 74*f**3/3 + 2*f**2/3 + 73*f/3 - 37/3 = 0?
-37, -1, 1
Factor -5*r**4 + 270*r**3 - 4145*r**2 + 13500*r - 12500.
-5*(r - 25)**2*(r - 2)**2
Let -2*r**2/5 - 88*r/3 - 146/15 = 0. What is r?
-73, -1/3
Factor k**5/7 + 4*k**4/7 - 27*k**3/7 + 38*k**2/7 - 16*k/7.
k*(k - 2)*(k - 1)**2*(k + 8)/7
Factor 10*i**3 - 114*i**2 - 1216*i + 504.
2*(i - 18)*(i + 7)*(5*i - 2)
Factor 2*r**3/5 + 56*r**2/5 + 378*r/5 + 684/5.
2*(r + 3)*(r + 6)*(r + 19)/5
Factor -2*n**4 - 10*n**3 - 16*n**2 - 8*n.
-2*n*(n + 1)*(n + 2)**2
Factor 9*x**4/7 - 83*x**3/7 + 180*x**2/7 - 36*x/7.
x*(x - 6)*(x - 3)*(9*x - 2)/7
Factor 2*s**4/9 - 184*s**3/3 + 4352*s**2 - 147968*s/9.
2*s*(s - 136)**2*(s - 4)/9
Factor -5*k**4 - 165*k**3 - 1825*k**2 - 7335*k - 5670.
-5*(k + 1)*(k + 9)**2*(k + 14)
Factor -c**2 + 4*c + 5.
-(c - 5)*(c + 1)
Let -p**4 + 38*p**3 - 177*p**2 - 3496*p - 8464 = 0. Calculate p.
-4, 23
Factor -2*y**3 + 28*y**2 + 62*y + 32.
-2*(y - 16)*(y + 1)**2
Factor -90*w**2 - 205*w - 50.
-5*(w + 2)*(18*w + 5)
Solve -p**2/4 + 309*p/2 - 95481/4 = 0 for p.
309
Factor -n**4/4 + 11*n**3/4 - 33*n**2/4 + 37*n/4 - 7/2.
-(n - 7)*(n - 2)*(n - 1)**2/4
Solve w**2/5 - 828*w/5 + 171396/5 = 0.
414
Suppose -4*k**2 - 6576*k - 2702736 = 0. Calculate k.
-822
Factor c**3 - 43*c**2 - 142*c + 184.
(c - 46)*(c - 1)*(c + 4)
Factor -2*n**3/5 - 28*n**2 + 894*n/5 - 1368/5.
-2*(n - 3)**2*(n + 76)/5
Find l, given that 5*l**3 - 340*l**2 + 620*l + 2640 = 0.
-2, 4, 66
Find a, given that 11*a**3/2 - 1981*a**2/2 + 44640*a - 4050 = 0.
1/11, 90
Solve 4*p**2/3 - 76*p/3 - 80/3 = 0.
-1, 20
Solve r**2/2 + 146*r + 10658 = 0.
-146
Find d such that -2*d**5/5 + 4*d**4 - 22*d**3/5 - 164*d**2/5 + 24*d/5 + 144/5 = 0.
-2, -1, 1, 6
Find h, given that -162*h**5/5 + 144*h**4 + 848*h**3 + 640*h**2 - 416*h + 256/5 = 0.
-2, 2/9, 8
Let 8*t**5 + 18*t**4 - 68*t**3 - 34*t**2 + 60*t + 16 = 0. Calculate t.
-4, -1, -1/4, 1, 2
What is r in r**5 + 4*r**4 - 90*r**3 + 320*r**2 - 391*r + 156 = 0?
-13, 1, 3, 4
What is s in 5*s**3 - 15*s - 10 = 0?
-1, 2
Determine t, given that -3*t**4/5 - 258*t**3/5 - 7308*t**2/5 - 65598*t/5 + 73167/5 = 0.
-29, 1
Suppose 3*v**4 - 66*v**3 - 72*v**2 + 66*v + 69 = 0. What is v?
-1, 1, 23
Solve h**3/6 - 40*h**2/3 + 800*h/3 = 0.
0, 40
Suppose w**4/6 - 19*w**3/3 - 27*w**2/2 + 19*w/3 + 40/3 = 0. What is w?
-2, -1, 1, 40
Let -5*m**4 + 20*m**3 - 25*m**2 + 10*m = 0. What is m?
0, 1, 2
Factor p**3 + 109*p**2 + 106*p - 216.
(p - 1)*(p + 2)*(p + 108)
Determine p so that -14*p**4 - 116*p**3 - 32*p**2 = 0.
-8, -2/7, 0
Solve -3*w**5 + 6*w**3 - 3*w = 0.
-1, 0, 1
Factor o**2/4 - 11*o + 43/4.
(o - 43)*(o - 1)/4
Determine h, given that -h**5/3 - 5*h**4/6 + 67*h**3/3 + 202*h**2/3 - 164*h - 96 = 0.
-6, -1/2, 2, 8
Factor 2*x**3/7 + 8*x**2/7 - 6*x/7 - 36/7.
2*(x - 2)*(x + 3)**2/7
Find j such that -5*j**3/3 + 125*j**2/3 - 230*j/3 = 0.
0, 2, 23
What is b in -4*b**4/7 + 8*b**3/7 + 52*b**2/7 + 40*b/7 = 0?
-2, -1, 0, 5
Let 3*h**5/4 - 9*h**4/4 - 183*h**3/4 - 351*h**2/4 + 162*h + 405 = 0. What is h?
-3, 2, 10
Factor -2*a**4 - 90*a**3 + 324*a**2 + 1728*a.
-2*a*(a - 6)*(a + 3)*(a + 48)
Factor 5*q**4 + 40*q**3 + 65*q**2 + 30*q.
5*q*(q + 1)**2*(q + 6)
Suppose -2*r**5/21 + 64*r**4/21 + 2*r**3/7 - 188*r**2/21 - 128*r/21 = 0. Calculate r.
-1, 0, 2, 32
Solve -4*w**4 + 24*w**3 + 388*w**2 - 1272*w + 864 = 0.
-9, 1, 2, 12
Factor 5*c**5 - 115*c**4 + 225*c**3 + 1415*c**2 + 1670*c + 600.
5*(c - 20)*(c - 6)*(c + 1)**3
Factor -2*y**3 + 276*y**2 - 814*y + 540.
-2*(y - 135)*(y - 2)*(y - 1)
Solve 3*j**5/4 + 126*j**4 + 4491*j**3 - 66468*j**2 + 282960*j - 388800 = 0 for j.
-90, 4
Determine c, given that 3*c**5/7 + 129*c**4/7 + 1317*c**3/7 - 1581*c**2/7 - 1320*c/7 + 1452/7 = 0.
-22, -1, 1
Let -3*f**5/5 - 18*f**4/5 - 36*f**3/5 - 24*f**2/5 = 0. What is f?
-2, 0
Factor -2*g**4/3 + 16*g**3 - 110*g**2 + 484*g/3.
-2*g*(g - 11)**2*(g - 2)/3
Factor b**2 - 35*b + 304.
(b - 19)*(b - 16)
Determine p, given that -4*p**4 - 392*p**3 - 9604*p**2 = 0.
-49, 0
Solve -2*g**2 + 10*g + 748 = 0 for g.
-17, 22
Factor -y**3/4 + 92*y**2 + y/4 - 92.
-(y - 368)*(y - 1)*(y + 1)/4
What is h in 147*h**5 + 210*h**4 - 1185*h**3 + 1200*h**2 - 420*h + 48 = 0?
-4, 2/7, 1
Factor m**3/2 + 12*m**2 - 26*m.
m*(m - 2)*(m + 26)/2
Determine s so that -2*s**3/17 - 286*s**2/17 + 292*s/17 + 576/17 = 0.
-144, -1, 2
Let 5*b**2 + 690*b = 0. Calculate b.
-138, 0
Let -c**4 + 25*c**3 + 111*c**2 + 143*c + 58 = 0. Calculate c.
-2, -1, 29
Factor 3*c**3 - 108*c**2 + 303*c - 198.
3*(c - 33)*(c - 2)*(c - 1)
Factor -x**5 + 5*x**4 - 9*x**3 + 7*x**2 - 2*x.
-x*(x - 2)*(x - 1)**3
Let -14*p**3 + 276*p**2 - 186*p - 76 = 0. What is p?
-2/7, 1, 19
Factor 4*o**2 + 2552*o + 407044.
4*(o + 319)**2
Let 2*b**5 - 8*b**4 + 10*b**3 - 4*b**2 = 0. Calculate b.
0, 1, 2
Solve 5*m**4/3 - 47*m**3/6 - 895*m**2/6 - 1172*m/3 - 104 = 0.
-4, -3/10, 13
Factor -y**5 - 14*y**4 - 40*y**3.
-y**3*(y + 4)*(y + 10)
Solve 5*t**5 + 45*t**4 + 65*t**3 - 225*t**2 - 250*t = 0.
-5, -1, 0, 2
Suppose -4*c**2 + 88*c - 160 = 0. What is c?
2, 20
Let 2*m**5 - 16*m**4 - 266*m**3 - 656*m**2 - 408*m = 0. Calculate m.
-6, -2, -1, 0, 17
Factor 5*b**3 - 1360*b**2 + 5380*b - 5360.
5*(b - 268)*(b - 2)**2
Factor 2*w**4 - 111*w**3 + 1618*w**2 - 2079*w - 1458.
(w - 27)**2*(w - 2)*(2*w + 1)
Factor -m**2 - 46*m + 147.
-(m - 3)*(m + 49)
Suppose -4*m**3/3 + 8*m**2/3 + 16*m/3 - 32/3 = 0. Calcu