 + 13*c**3 + c**2 - 12*c = 0.
-4, -1, 0, 1, 3
Factor -c**3/8 - 375*c**2/4 + c/8 + 375/4.
-(c - 1)*(c + 1)*(c + 750)/8
Find o such that -4*o**4 + 40*o**3 - 80*o**2 - 40*o + 84 = 0.
-1, 1, 3, 7
Factor -5*g**4 - 75*g**3 + 270*g**2 + 4320*g - 12960.
-5*(g - 6)*(g - 3)*(g + 12)**2
Find s such that -8*s**2/7 - 34*s + 60/7 = 0.
-30, 1/4
What is l in -l**4 + 12*l**3 - 45*l**2 + 58*l - 24 = 0?
1, 4, 6
Suppose -20*l**5 - 100*l**4 + 75*l**3 + 100*l**2 - 55*l = 0. What is l?
-11/2, -1, 0, 1/2, 1
What is z in -5*z**4 + 21*z**3 + 246*z**2/5 + 28*z + 24/5 = 0?
-1, -2/5, 6
Factor f**3 - 7*f**2 + 6*f.
f*(f - 6)*(f - 1)
Let j**4/10 - 21*j**3/2 + 204*j**2/5 - 202*j/5 = 0. What is j?
0, 2, 101
Determine x so that 2*x**3/7 + 4*x**2 + 26*x/7 = 0.
-13, -1, 0
Factor 2*b**2/9 - 4*b/9 - 70/9.
2*(b - 7)*(b + 5)/9
Factor q**3/4 - 5*q**2/2 - 23*q/4 - 3.
(q - 12)*(q + 1)**2/4
Suppose m**3 + 5*m**2 - 77*m - 441 = 0. Calculate m.
-7, 9
Let 3*s**4/7 + 3*s**3 - 312*s**2/7 + 720*s/7 = 0. Calculate s.
-15, 0, 4
Determine r, given that 3*r**2/4 + 129*r + 5547 = 0.
-86
Factor 2*l**2/3 + 248*l/3 + 7688/3.
2*(l + 62)**2/3
Find j such that -j**2 + 12*j - 27 = 0.
3, 9
Factor -4*r**2 + 4*r + 24.
-4*(r - 3)*(r + 2)
Factor 7*c**4/2 - 8*c**3 + 2*c**2.
c**2*(c - 2)*(7*c - 2)/2
What is u in 15*u**4 - 441*u**3 + 2997*u**2 + 5265*u - 24300 = 0?
-3, 12/5, 15
Factor -3*j**2 + 3675*j + 3678.
-3*(j - 1226)*(j + 1)
Factor -3*c**2/2 - 63*c/2.
-3*c*(c + 21)/2
Factor 4*v**2 - 324*v + 6536.
4*(v - 43)*(v - 38)
Suppose 3*m**3/8 - 85*m**2/8 + 38*m - 73/2 = 0. Calculate m.
2, 73/3
Find p, given that -3*p**2/2 - 15*p/2 = 0.
-5, 0
Factor 2*q**4/5 + 16*q**3/5 - 12*q**2 + 64*q/5 - 22/5.
2*(q - 1)**3*(q + 11)/5
Determine b so that b**2/7 + 578*b/7 + 83521/7 = 0.
-289
Factor -2*y**5/15 - 176*y**4/5 - 524*y**3/5 - 1568*y**2/15 - 174*y/5.
-2*y*(y + 1)**3*(y + 261)/15
Solve -p**4/10 - 27*p**3/5 + p**2/10 + 27*p/5 = 0.
-54, -1, 0, 1
Let -5*g**5 + 75*g**4 - 365*g**3 + 525*g**2 + 370*g - 600 = 0. Calculate g.
-1, 1, 4, 5, 6
Factor -2*h**3/5 + 1448*h**2/5 + 2904*h/5.
-2*h*(h - 726)*(h + 2)/5
Determine t, given that -t**5/7 + 9*t**4/7 + 145*t**3/7 - 1965*t**2/7 + 6696*t/7 - 972 = 0.
-14, 2, 3, 9
Factor 32*w**5/5 - 48*w**4/5 - 6*w**3 + 10*w**2.
2*w**2*(w + 1)*(4*w - 5)**2/5
Find u, given that u**3 + 4*u**2 - 11*u + 6 = 0.
-6, 1
Suppose -q**3 - 57*q**2 - 1083*q - 6859 = 0. What is q?
-19
Determine x, given that x**4 + x**3 - 37*x**2 - 25*x + 300 = 0.
-5, -4, 3, 5
Solve n**3/3 + 3*n**2 + 20*n/3 + 4 = 0.
-6, -2, -1
Factor -4*b**3/7 + 100*b**2/7 - 88*b/7 - 192/7.
-4*(b - 24)*(b - 2)*(b + 1)/7
Solve 5*m**3 + 20*m**2 - 160*m = 0.
-8, 0, 4
Factor -2*p**2 - 192*p - 376.
-2*(p + 2)*(p + 94)
Factor 2*d**2/11 - 100*d/11 + 602/11.
2*(d - 43)*(d - 7)/11
Factor 2*w**4/3 - 2560*w**3/3 + 409600*w**2 - 262144000*w/3 + 20971520000/3.
2*(w - 320)**4/3
Factor c**2 + 198*c + 392.
(c + 2)*(c + 196)
Solve 23*q**4/4 + 25*q**3/4 + q**2/2 = 0 for q.
-1, -2/23, 0
Let -2*h**2/3 + 80*h/3 - 26 = 0. Calculate h.
1, 39
Factor 10*j**2 + 255*j - 130.
5*(j + 26)*(2*j - 1)
Factor -9*k**4 - 24*k**3 + 14*k**2 + 16*k + 3.
-(k - 1)*(k + 3)*(3*k + 1)**2
Factor -k**5/5 + 3*k**4 - 84*k**3/5 + 208*k**2/5 - 192*k/5.
-k*(k - 4)**3*(k - 3)/5
Solve 2*r**2/7 + 24*r/7 + 40/7 = 0.
-10, -2
Suppose -9*h**4 + 6*h**3 + 12*h**2 - 6*h - 3 = 0. What is h?
-1, -1/3, 1
Find a, given that -5*a**5 - 65*a**4 - 185*a**3 - 15*a**2 + 270*a = 0.
-9, -3, -2, 0, 1
Factor -d**3/4 - 15*d**2 + 607*d/4 - 483/2.
-(d - 7)*(d - 2)*(d + 69)/4
Factor -o**3/4 + 216*o**2 + o/4 - 216.
-(o - 864)*(o - 1)*(o + 1)/4
Factor -i**3 + 155*i**2/4 - 753*i/4 - 99/2.
-(i - 33)*(i - 6)*(4*i + 1)/4
Factor 2*j**3/9 + 1442*j**2 + 3119046*j + 2248832166.
2*(j + 2163)**3/9
Solve 2*d**4/3 + 14*d**3/3 + 6*d**2 - 14*d/3 - 20/3 = 0.
-5, -2, -1, 1
Let 2*j**2/23 - 86*j/23 - 88/23 = 0. What is j?
-1, 44
Determine b, given that b**4 + 4*b**3 + 2*b**2 - 4*b - 3 = 0.
-3, -1, 1
What is b in -4*b**5 - 58*b**4 + 236*b**3 - 282*b**2 + 108*b = 0?
-18, 0, 1, 3/2
Determine m, given that -5*m**4 + 30*m**3 + 25*m**2 - 210*m - 200 = 0.
-2, -1, 4, 5
Factor -5*k**3 + 722*k**2 - 288*k.
-k*(k - 144)*(5*k - 2)
Factor l**5/6 + l**4/2 - 5*l**3/3 + l**2/3 + 3*l/2 - 5/6.
(l - 1)**3*(l + 1)*(l + 5)/6
Solve -56*g**4 - 172*g**3 - 180*g**2 - 68*g - 4 = 0 for g.
-1, -1/14
Find k such that -2*k**2 - 48*k - 46 = 0.
-23, -1
Find l such that -5*l**5 + 115*l**4 - 895*l**3 + 2765*l**2 - 3600*l + 1620 = 0.
1, 2, 9
Find d such that 8*d**5 - 138*d**4 + 34*d**3 = 0.
0, 1/4, 17
Factor 2*q**3/3 + 10*q**2 - 108*q - 352/3.
2*(q - 8)*(q + 1)*(q + 22)/3
Suppose -3*n**5/4 - 53*n**4/2 - 162*n**3 + 1320*n**2 - 800*n = 0. Calculate n.
-20, 0, 2/3, 4
Factor -d**4 - 11*d**3 - 4*d**2 + 276*d + 720.
-(d - 5)*(d + 4)*(d + 6)**2
Factor -m**2/8 + 73*m/8 - 413/4.
-(m - 59)*(m - 14)/8
Factor d**2/4 - 27*d/2 + 729/4.
(d - 27)**2/4
Solve -5*c**2 - 315*c - 610 = 0.
-61, -2
Determine a, given that a**4/2 - 11*a**3 + 60*a**2 = 0.
0, 10, 12
Factor 2*y**5/5 - 12*y**4/5 + 26*y**3/5 - 24*y**2/5 + 8*y/5.
2*y*(y - 2)**2*(y - 1)**2/5
Let -b**5/10 + b**4/2 + b**3/2 - 5*b**2/2 - 2*b/5 + 2 = 0. Calculate b.
-2, -1, 1, 2, 5
Determine x so that 75*x**5/2 - 5955*x**4 - 26583*x**3/2 + 1407*x**2 + 6774*x - 1932 = 0.
-2, -1, 2/5, 161
Factor -21*p**3/2 + 9*p**2 + 255*p/2 + 18.
-3*(p - 4)*(p + 3)*(7*p + 1)/2
Determine b so that 2*b**2/3 - 128*b/3 + 122 = 0.
3, 61
Factor -g**5/3 - 19*g**4/3 + 14*g**3.
-g**3*(g - 2)*(g + 21)/3
Factor 20*w**3 + 56*w**2 + 52*w + 16.
4*(w + 1)**2*(5*w + 4)
Solve -2*v**5 - 6*v**4 + 12*v**3 + 52*v**2 + 54*v + 18 = 0.
-3, -1, 3
Factor -3*x**4 - 105*x**3 - 102*x**2.
-3*x**2*(x + 1)*(x + 34)
Let -2*y**4 + 40*y**3 - 102*y**2 = 0. What is y?
0, 3, 17
Suppose 2*g**3 + 96*g**2 + 1242*g + 2116 = 0. What is g?
-23, -2
Determine i so that 3*i**3 - 78*i**2 + 339*i + 420 = 0.
-1, 7, 20
Factor 4*d**2/5 - 952*d/5 + 56644/5.
4*(d - 119)**2/5
Find r such that -2*r**3 - 414*r**2 = 0.
-207, 0
Factor -3*u**2 + 8100*u - 5467500.
-3*(u - 1350)**2
Let -46*w**4/3 - 199*w**3/3 - 290*w**2/3 - 167*w/3 - 10 = 0. Calculate w.
-2, -1, -15/46
Solve -2*t**3 - 2*t**2 = 0.
-1, 0
Factor -5*c**4/2 - 270*c**3 - 1560*c**2 - 3080*c - 2040.
-5*(c + 2)**3*(c + 102)/2
Suppose -j**5 - 23*j**4 - 190*j**3 - 626*j**2 - 385*j + 1225 = 0. What is j?
-7, -5, 1
Factor -3*t**2 - 63*t.
-3*t*(t + 21)
Factor -3*i**2 - 84*i + 180.
-3*(i - 2)*(i + 30)
Let -5*v**5 + 125*v**4 - 715*v**3 - 845*v**2 = 0. What is v?
-1, 0, 13
Factor -2*r**3/5 - 32*r**2/5 - 22*r.
-2*r*(r + 5)*(r + 11)/5
Determine o so that -5*o**3 + 1060*o**2 + 20*o - 4240 = 0.
-2, 2, 212
Factor b**5/3 - 34*b**4/3 - 80*b**3.
b**3*(b - 40)*(b + 6)/3
Find y, given that 2*y**2 + 46*y - 48 = 0.
-24, 1
Suppose 3*z**3/7 - 114*z**2/7 + 1083*z/7 = 0. Calculate z.
0, 19
Factor -j**3/2 + 153*j**2/2 - 7803*j/2 + 132651/2.
-(j - 51)**3/2
Find y, given that -y**4/2 - y**3 + 130*y**2 + 900*y = 0.
-10, 0, 18
Factor -5*s**2 - 9315*s - 9310.
-5*(s + 1)*(s + 1862)
Let h**3 - 29*h**2 + 160*h + 768 = 0. What is h?
-3, 16
Factor h**2/5 - 6*h/5 + 9/5.
(h - 3)**2/5
Factor 4*g**2 - 20536*g + 26357956.
4*(g - 2567)**2
Suppose 6*x**3/5 + 742*x**2/5 + 736*x/5 = 0. Calculate x.
-368/3, -1, 0
What is t in -3*t**2 + 13*t - 12 = 0?
4/3, 3
Let -4*l**2 - 24*l + 28 = 0. What is l?
-7, 1
Let 10*i**4/9 + 104*i**3/9 - 10*i**2/3 - 1988*i/9 - 784/9 = 0. What is i?
-7, -2/5, 4
Factor 15*s**2 + 515*s - 350.
5*(s + 35)*(3*s - 2)
Determine t, given that 4*t**3/7 - 40*t**2/7 + 44*t/7 + 40 = 0.
-2, 5, 7
Determine l, given that 2*l**5/11 + 16*l**4/11 - 6*l**3/11 - 4*l**2 + 32*l/11 = 0.
-8, -2, 0, 1
Factor 4*x**2/7 - 68*x + 936/7.
4*(x - 117)*(x - 2)/7
Find i such that -35*i**5 - 275*i**4 + 145*i**3 + 895*i**2 + 430*i - 80 = 0.
-8, -1, 1/7, 2
Let 3*z**4 + 24*z**3 + 15*z**2 - 42*z = 0. What is z?
-7, -2, 0, 1
Solve 3*a**2 + 540*a - 1092 = 0 for a.
-182, 2
Factor i**3/7 + 9*i**2 - 66*i/7 - 128/7.
(i - 2)*(i + 1)*(i + 64)/7
Suppose 2*s**2/7 - 176*s/7 + 3872/7 = 0. What is s?
44
Factor m**2 - 34*m - 387.
(m - 43)*(m + 9)
Factor -2*c**3/7 + 2*c**2/7 + 40*c/7.
-2*c*(c - 5)*(c + 4)/7
Determine c so that c**3/7 - 100*c**2/7 + 379*c/7 + 480/7 = 0.
-1, 5, 96
Solve 4*m**4 - 64*m**3 + 252*m**2 - 368*m + 176 = 0 for m.
1, 2, 11
Find w such that 3*w**5 - 4932*w**4 + 19692*w**3 - 19680*w**2 = 0.
0, 2, 1640
Factor -c**3/3 