24 = 0.
-8, 2, 4
Factor 2*o**3 - 20*o**2 - 46*o - 24.
2*(o - 12)*(o + 1)**2
Find t such that -2*t**4/7 + 8*t**3/7 - 6*t**2/7 - 8*t/7 + 8/7 = 0.
-1, 1, 2
Determine l, given that -l**4/4 + 3*l**3 - l**2 - 48*l - 64 = 0.
-2, 8
Factor 92*d**4 + 244*d**3 + 212*d**2 + 60*d.
4*d*(d + 1)**2*(23*d + 15)
Factor -j**4 - 55*j**3 + j**2 + 55*j.
-j*(j - 1)*(j + 1)*(j + 55)
Factor -2*f**4/13 - 228*f**3/13 - 2858*f**2/13 + 15960*f - 127400.
-2*(f - 13)**2*(f + 70)**2/13
Solve 60*u**2 - 308*u + 40 = 0 for u.
2/15, 5
Suppose -3*t**2/2 - 1578*t + 3159/2 = 0. Calculate t.
-1053, 1
Let -s**5 + 4*s**4/3 + 2*s**3 - 8*s**2/3 - s + 4/3 = 0. Calculate s.
-1, 1, 4/3
Suppose -4*z**4 - 4*z**3 + 4*z**2 + 4*z = 0. Calculate z.
-1, 0, 1
Suppose -3*r**3 + 81*r**2 - 153*r + 75 = 0. What is r?
1, 25
Solve 5*w**2 + 1720*w + 147920 = 0 for w.
-172
Factor f**2 + 81*f - 82.
(f - 1)*(f + 82)
Factor -r**4/2 + 17*r**3 - 253*r**2/2 - 306*r - 162.
-(r - 18)**2*(r + 1)**2/2
Let 4*f**4 - 4*f**3 - 12*f**2 + 4*f + 8 = 0. Calculate f.
-1, 1, 2
Let 2*f**5/9 + 2*f**4 - 4*f**3/9 - 4*f**2 + 2*f/9 + 2 = 0. What is f?
-9, -1, 1
Solve -3*t**5/4 + 9*t**4/2 - 3*t**3/4 - 18*t**2 - 12*t = 0.
-1, 0, 4
Solve 3*r**3 + 78*r**2 + 147*r + 72 = 0 for r.
-24, -1
What is o in -o**2/2 + 39*o - 1521/2 = 0?
39
Let -2*j**3/5 - 8*j**2/5 - 2*j - 4/5 = 0. What is j?
-2, -1
Let n**4/5 + 7*n**3 + 28*n**2/5 - 204*n/5 = 0. Calculate n.
-34, -3, 0, 2
Determine g so that 3*g**2 + 60*g + 300 = 0.
-10
Suppose -828*c**5 + 762*c**4 + 124*c**3 - 200*c**2 + 16*c = 0. What is c?
-1/2, 0, 2/23, 2/3
Determine f so that -f**2 - 34*f - 289 = 0.
-17
Factor 3*n**2 + 2085*n + 2082.
3*(n + 1)*(n + 694)
Factor -5*t**2 + 10*t + 120.
-5*(t - 6)*(t + 4)
What is s in -2*s**3/17 - 18*s**2/17 + 42*s/17 - 22/17 = 0?
-11, 1
Factor p**3/6 - 217*p**2/3 + 47089*p/6.
p*(p - 217)**2/6
Solve -r**5 - 9*r**4 - 13*r**3 + 9*r**2 + 14*r = 0 for r.
-7, -2, -1, 0, 1
Find p such that -3*p**5 - 198*p**4 + 210*p**3 + 600*p**2 - 207*p - 402 = 0.
-67, -1, 1, 2
Factor 5*x**2 - 16210*x + 13138205.
5*(x - 1621)**2
Determine o so that 5*o**2 + 17800*o + 15842000 = 0.
-1780
Let 36*s**4/7 - 1668*s**3/7 + 2176*s**2/7 - 720*s/7 = 0. What is s?
0, 2/3, 45
Determine x so that -8*x**4/9 + 14*x**3/9 + 4*x**2/3 - 14*x/9 - 4/9 = 0.
-1, -1/4, 1, 2
Factor -26*r**2 + 86*r - 60.
-2*(r - 1)*(13*r - 30)
Find g, given that -4*g**5 - 172*g**4 - 1360*g**3 + 10752*g**2 - 9216*g = 0.
-24, 0, 1, 4
Factor -2*a**4/15 - 8*a**3/3 - 32*a**2/5 + 384*a/5.
-2*a*(a - 4)*(a + 12)**2/15
Factor 2*u**3 + 32*u**2 + 82*u + 52.
2*(u + 1)*(u + 2)*(u + 13)
Find g, given that 3*g**3 - 1224*g**2 - 4932*g - 4944 = 0.
-2, 412
Find r such that 2*r**4/19 + 34*r**3/19 + 174*r**2/19 + 182*r/19 - 392/19 = 0.
-7, -4, 1
Factor -2*j**3/3 - 86*j**2 + 260*j/3.
-2*j*(j - 1)*(j + 130)/3
Find o, given that 12*o**3/7 + 44*o**2/7 + 24*o/7 = 0.
-3, -2/3, 0
Let -5*g**3 - 210*g**2 + 2475*g - 6500 = 0. Calculate g.
-52, 5
Find k such that 3*k**2/5 + 1236*k + 636540 = 0.
-1030
Suppose -d**5/3 - 2*d**4/3 = 0. What is d?
-2, 0
Factor 2*z**2/13 + 28*z/13 + 80/13.
2*(z + 4)*(z + 10)/13
Find u such that 2*u**3 - 1094*u**2 + 2182*u - 1090 = 0.
1, 545
Factor v**2 - 88*v + 1936.
(v - 44)**2
Factor -x**3 + 29*x**2 + 128*x + 132.
-(x - 33)*(x + 2)**2
Determine c so that 5*c**5 + 55*c**4 + 170*c**3 + 230*c**2 + 145*c + 35 = 0.
-7, -1
Suppose -8*p**5/3 + 226*p**4/3 + 424*p**3/3 - 40*p**2 = 0. What is p?
-2, 0, 1/4, 30
Solve 4*c**2/5 - 184*c/5 = 0 for c.
0, 46
Factor a**3/3 - 19*a**2/3 + 34*a/3.
a*(a - 17)*(a - 2)/3
Let 4*s**4 + 17*s**3 + 24*s**2 + 13*s + 2 = 0. What is s?
-2, -1, -1/4
Determine f so that -2*f**5 - 878*f**4/7 - 1884*f**3 + 18176*f**2/7 - 4096*f/7 = 0.
-32, 0, 2/7, 1
Determine b so that 2*b**2/5 - 2*b/5 - 112/5 = 0.
-7, 8
Find k, given that 3*k**5 - 84*k**4 + 615*k**3 - 1350*k**2 = 0.
0, 5, 18
Determine o so that -14*o**5/5 - 192*o**4/5 - 112*o**3/5 + 244*o**2/5 + 126*o/5 - 52/5 = 0.
-13, -1, 2/7, 1
Factor -2*w**4/3 - 20*w**3/3 + 16*w**2.
-2*w**2*(w - 2)*(w + 12)/3
Factor 3*s**5/5 + 48*s**4/5 + 162*s**3/5 + 228*s**2/5 + 147*s/5 + 36/5.
3*(s + 1)**4*(s + 12)/5
Factor -8*h**4/9 - 14*h**3/9 - 4*h**2/9 + 2*h/9.
-2*h*(h + 1)**2*(4*h - 1)/9
Determine j so that -j**2 + 119*j + 120 = 0.
-1, 120
What is m in m**2/4 - 25*m/4 - 276 = 0?
-23, 48
Let -2*k**3/3 - 40*k**2/3 - 46*k + 60 = 0. What is k?
-15, -6, 1
Determine m so that -4*m**4 - 1184*m**3/7 - 212*m**2 - 328*m/7 = 0.
-41, -1, -2/7, 0
Solve 3*h**4 + 156*h**3 + 450*h**2 + 444*h + 147 = 0 for h.
-49, -1
Factor -3*r**3 + 275*r**2 - 6256*r - 2116.
-(r - 46)**2*(3*r + 1)
Let 28*g**5 - 253*g**4 - 273*g**3 + 28*g**2 + 20*g = 0. Calculate g.
-1, -1/4, 0, 2/7, 10
Suppose 2*f**3 + 144*f**2 - 294*f + 148 = 0. Calculate f.
-74, 1
Let 6*l**2/5 + 224*l/5 - 152/5 = 0. What is l?
-38, 2/3
Factor 5*v**4/3 - 170*v**3/3 + 475*v**2/3 - 310*v/3.
5*v*(v - 31)*(v - 2)*(v - 1)/3
Find s such that -4*s**2 - 6204*s = 0.
-1551, 0
Factor -2*z**5/21 - 34*z**4/21 + 12*z**3/7.
-2*z**3*(z - 1)*(z + 18)/21
Factor 3*v**3/2 - 27*v**2/2 + 36*v - 24.
3*(v - 4)**2*(v - 1)/2
Solve 6*y**4 + 944*y**3 + 36496*y**2 + 405184*y - 286624 = 0.
-106, -26, 2/3
Determine b so that -2*b**4 - 16*b**3 - 34*b**2 + 4*b + 48 = 0.
-4, -3, -2, 1
Factor 3*c**2 - 28446*c + 67431243.
3*(c - 4741)**2
Factor -4*u**3 + 4872*u**2 - 1483524*u.
-4*u*(u - 609)**2
What is f in 2*f**2/11 - 3572*f/11 + 1594898/11 = 0?
893
Solve -o**2/6 - 3*o/2 - 3 = 0 for o.
-6, -3
Solve -21*w**4 - 2211*w**3 - 57393*w**2 + 42771*w + 16854 = 0.
-53, -2/7, 1
Determine x, given that -10*x**4 + 128*x**3 - 74*x**2 - 260*x - 48 = 0.
-1, -1/5, 2, 12
Solve -2*r**5 + 38*r**4 + 1020*r**3 = 0 for r.
-15, 0, 34
Let 2*f**5 - 12*f**4 + 24*f**3 - 20*f**2 + 6*f = 0. Calculate f.
0, 1, 3
Factor 2*k**4/11 - 30*k**3/11 - 102*k**2/11 - 106*k/11 - 36/11.
2*(k - 18)*(k + 1)**3/11
Factor f**3 + 23*f**2 + 120*f - 144.
(f - 1)*(f + 12)**2
Solve -45*h**4 - 205*h**3 - 215*h**2 + 5*h + 60 = 0 for h.
-3, -1, 4/9
Solve -c**5 - 23*c**4/2 - 95*c**3/2 - 179*c**2/2 - 155*c/2 - 25 = 0 for c.
-5, -5/2, -2, -1
Solve 2*o**4 - 8*o**3 - 230*o**2 + 476*o - 240 = 0 for o.
-10, 1, 12
Determine v, given that -2*v**3/11 + 12752*v**2/11 = 0.
0, 6376
Factor 2*k**4/5 - 32*k**3/5 - 122*k**2/5 + 152*k/5.
2*k*(k - 19)*(k - 1)*(k + 4)/5
Factor y**2 + 24*y - 112.
(y - 4)*(y + 28)
What is s in 90*s**2 + 105*s + 25 = 0?
-5/6, -1/3
Solve -2*z**4 - 480*z**3 - 2356*z**2 - 1392*z + 4230 = 0 for z.
-235, -3, 1
Factor 3*p**3 + 9*p**2 + 6*p.
3*p*(p + 1)*(p + 2)
Suppose -5*w**3 + 920*w**2 - 44100*w + 162000 = 0. What is w?
4, 90
Find b, given that 5*b**5 + 140*b**4 + 385*b**3 + 250*b**2 = 0.
-25, -2, -1, 0
Factor 44*d**2/3 - 2584*d + 1408/3.
4*(d - 176)*(11*d - 2)/3
Factor 2*k**2/9 - 2*k/3 - 260/9.
2*(k - 13)*(k + 10)/9
Factor -4*f**5/3 - 136*f**4/3 - 256*f**3/3.
-4*f**3*(f + 2)*(f + 32)/3
Determine t so that t**2 - 227*t/4 - 231/4 = 0.
-1, 231/4
Factor -3*t**2 - 18*t - 24.
-3*(t + 2)*(t + 4)
Factor -4*f**2 - 1904*f - 1900.
-4*(f + 1)*(f + 475)
Determine x so that 2*x**2/7 + 2*x/7 - 12/7 = 0.
-3, 2
Factor 2*l**3/5 - 6*l**2 + 72*l/5.
2*l*(l - 12)*(l - 3)/5
Factor -3*z**5/5 + 66*z**4/5 - 504*z**3/5 + 294*z**2 - 1029*z/5.
-3*z*(z - 7)**3*(z - 1)/5
Suppose 2*o**3 + 46*o**2 - 48*o = 0. What is o?
-24, 0, 1
Factor -49*d**4/9 - 28*d**3/3 + 3*d**2 - 2*d/9.
-d*(d + 2)*(7*d - 1)**2/9
Factor o**2/5 + 11*o/5 - 12.
(o - 4)*(o + 15)/5
Determine x so that 5*x**4 + 16*x**3 - 227*x**2 + 314*x + 72 = 0.
-9, -1/5, 2, 4
Solve -12*w**3 - 225*w**2 + 2241*w - 546 = 0 for w.
-26, 1/4, 7
Factor 5*k**4 - 10*k**3 - 15*k**2 + 20*k + 20.
5*(k - 2)**2*(k + 1)**2
Suppose y**5 - 5*y**4 - 33*y**3 - 27*y**2 = 0. What is y?
-3, -1, 0, 9
Factor -u**4/4 + 39*u**3 + 157*u**2/4.
-u**2*(u - 157)*(u + 1)/4
Factor 2116*m**2/5 - 552*m/5 + 36/5.
4*(23*m - 3)**2/5
What is v in 9*v**4/4 + 777*v**3 + 67597*v**2 + 89096*v + 29584 = 0?
-172, -2/3
Determine l, given that -2*l**4/13 - 30*l**3/13 + 36*l**2/13 + 64*l/13 = 0.
-16, -1, 0, 2
Factor -q**3/5 - 66*q**2/5 + q/5 + 66/5.
-(q - 1)*(q + 1)*(q + 66)/5
Factor -3*x**4/2 - 525*x**3/2 - 15399*x**2 - 307806*x - 292668.
-3*(x + 1)*(x + 58)**3/2
Solve 27*i**5/7 - 27*i**4/7 - 3*i**3 + 27*i**2/7 - 6*i/7 = 0 for i.
-1, 0, 1/3, 2/3, 1
Factor 14*v**2 - 108*v - 32.
2*(v - 8)*(7*v + 2)
Suppose g**3/2 + 921*g**2 + 423198*g - 850084 = 0. C