0.
-3, -2, 1, 4, 8
Factor -2*g**3/5 - 268*g**2 + 2*g/5 + 268.
-2*(g - 1)*(g + 1)*(g + 670)/5
Factor 3*j**2 - 285*j + 828.
3*(j - 92)*(j - 3)
Factor 35*b**3 + 85*b**2.
5*b**2*(7*b + 17)
Factor 2*l**3 + 10*l**2 + 6*l - 18.
2*(l - 1)*(l + 3)**2
Factor 3*p**2/5 - 21*p + 150.
3*(p - 25)*(p - 10)/5
Find z, given that 4*z**4 + 64*z**3 + 276*z**2 + 376*z + 160 = 0.
-10, -4, -1
Suppose -5*t**5 - 70*t**4 + 5*t**3 + 70*t**2 = 0. What is t?
-14, -1, 0, 1
Solve a**2/4 + 98*a - 197 = 0.
-394, 2
Solve -3*w**4/7 - 6*w**3/7 + 12*w**2/7 + 6*w/7 - 9/7 = 0 for w.
-3, -1, 1
Factor -2*u**3/11 - 1516*u**2/11 + 4566*u/11.
-2*u*(u - 3)*(u + 761)/11
Factor -5*l**5/3 - 40*l**4 + 85*l**3 - 130*l**2/3.
-5*l**2*(l - 1)**2*(l + 26)/3
Factor h**2/5 - 51*h + 506/5.
(h - 253)*(h - 2)/5
Factor -2*u**3 - 6*u**2 + 68*u + 240.
-2*(u - 6)*(u + 4)*(u + 5)
Determine s, given that -s**3 + 29*s**2/4 - s/2 - 35/4 = 0.
-1, 5/4, 7
Solve 3*w**2 - 93*w = 0 for w.
0, 31
Factor h**2/3 - 10*h + 56/3.
(h - 28)*(h - 2)/3
Determine h so that h**5 + 8*h**4 + 19*h**3 + 8*h**2 - 20*h - 16 = 0.
-4, -2, -1, 1
Factor -2*d**4/7 - 40*d**3/7 + 6*d**2.
-2*d**2*(d - 1)*(d + 21)/7
Factor -2*t**3/7 - 96*t**2/7 + 206*t/7 + 300/7.
-2*(t - 3)*(t + 1)*(t + 50)/7
Factor 2*v**2/3 + 24*v - 152/3.
2*(v - 2)*(v + 38)/3
Factor -w**4/6 + 49*w**3/6 - 43*w**2/6 - 79*w/2 - 24.
-(w - 48)*(w - 3)*(w + 1)**2/6
Find u, given that 2*u**4/3 + 10*u**3/3 + 16*u**2/3 + 8*u/3 = 0.
-2, -1, 0
Determine z, given that -4*z**2/3 + 56*z/3 + 20 = 0.
-1, 15
Factor -7*x**5/5 + 22*x**4/5 - 18*x**3/5 - 8*x**2/5 + 17*x/5 - 6/5.
-(x - 1)**4*(7*x + 6)/5
Factor 4*n**3 + 2188*n**2 + 300300*n + 298116.
4*(n + 1)*(n + 273)**2
Factor 2*b**5/3 - 22*b**4/3 + 16*b**3.
2*b**3*(b - 8)*(b - 3)/3
Let -12*x**2 - 231*x + 243 = 0. What is x?
-81/4, 1
Suppose -4*r**3 - 180*r**2 + 372*r - 188 = 0. What is r?
-47, 1
Factor k**4/3 + 574*k**3/3 + 76429*k**2/3 - 568260*k + 2940300.
(k - 10)**2*(k + 297)**2/3
Factor -3*z**3 + 12*z**2 + 84*z + 96.
-3*(z - 8)*(z + 2)**2
Find c, given that c**2/3 - 308*c/3 + 23716/3 = 0.
154
Suppose -2*n**4/15 - 16*n**3/15 + 256*n/15 + 512/15 = 0. Calculate n.
-4, 4
Find i, given that 2*i**2 - 2272*i + 645248 = 0.
568
Let u**5/2 + 17*u**4/2 + 46*u**3 + 86*u**2 + 48*u = 0. What is u?
-8, -6, -2, -1, 0
Let -3*u**5/2 - 53*u**4/4 - 55*u**3/4 + 155*u**2/4 + u/4 - 21/2 = 0. What is u?
-7, -3, -1/2, 2/3, 1
Determine r so that -4*r**3 + 112*r**2 - 108*r = 0.
0, 1, 27
Factor -2*w**4 + 32*w**3 - 158*w**2 + 312*w - 216.
-2*(w - 9)*(w - 3)*(w - 2)**2
Determine d, given that -d**3/6 - d**2/2 + 2/3 = 0.
-2, 1
Suppose -d**5/5 + 2*d**4/5 + 13*d**3/5 + 2*d**2 = 0. What is d?
-2, -1, 0, 5
Factor -5*p**4 - 1005*p**3 - 26775*p**2 - 192375*p.
-5*p*(p + 15)**2*(p + 171)
Suppose -79*d**2/4 + 73*d/4 + 3/2 = 0. Calculate d.
-6/79, 1
Factor 3*u**4 - 1023*u**3.
3*u**3*(u - 341)
Suppose z**3/4 + 5*z**2/2 + 33*z/4 + 9 = 0. Calculate z.
-4, -3
Determine w so that -3*w**5 - 21*w**4 - 27*w**3 + 21*w**2 + 30*w = 0.
-5, -2, -1, 0, 1
Factor -r**2/5 - 103*r/5.
-r*(r + 103)/5
Determine j, given that 2*j**3/3 - 164*j**2 - 2*j/3 + 164 = 0.
-1, 1, 246
Suppose -2*y**2 + 3982*y + 3984 = 0. Calculate y.
-1, 1992
Suppose 9*a**5/2 + 47*a**4/2 + 41*a**3 + 26*a**2 + 4*a = 0. What is a?
-2, -1, -2/9, 0
Factor -2*w**2 + 2224*w - 2222.
-2*(w - 1111)*(w - 1)
Suppose -r**5 - 32*r**4 + 626*r**3 - 3548*r**2 + 7655*r - 4700 = 0. What is r?
-47, 1, 4, 5
What is l in 3*l**4/5 - 69*l**3/5 - 414*l**2/5 - 192*l/5 + 672/5 = 0?
-4, -2, 1, 28
Factor -2*j**5 - 14*j**4 - 20*j**3 + 4*j**2 + 22*j + 10.
-2*(j - 1)*(j + 1)**3*(j + 5)
Let -8*y**3/5 - 2*y**2/5 + 32*y/5 + 8/5 = 0. Calculate y.
-2, -1/4, 2
Let u**4/7 + 502*u**3/7 + 63997*u**2/7 + 249996*u/7 + 248004/7 = 0. Calculate u.
-249, -2
Determine k, given that 2*k**2 - 278*k + 276 = 0.
1, 138
Find t, given that -t**5 + 5*t**4 - 3*t**3 - 5*t**2 + 4*t = 0.
-1, 0, 1, 4
Suppose 84*d**5 - 1275*d**4 - 2556*d**3 - 798*d**2 + 552*d + 153 = 0. Calculate d.
-1, -1/4, 3/7, 17
Determine m so that -5*m**5 - 615*m**4 + 1245*m**3 - 625*m**2 = 0.
-125, 0, 1
Find u such that -5*u**5 + 20*u**4 - 20*u**3 = 0.
0, 2
Factor 4*y**4 - 76*y**3 + 68*y**2 + 76*y - 72.
4*(y - 18)*(y - 1)**2*(y + 1)
Factor 5*d**5 + 470*d**4 + 1800*d**3.
5*d**3*(d + 4)*(d + 90)
Determine d, given that -2*d**5/9 + 4*d**4 - 160*d**3/9 - 4*d**2 + 18*d = 0.
-1, 0, 1, 9
Solve 3*a**3 - 354*a**2 + 10788*a - 20184 = 0 for a.
2, 58
Factor -3*p**3/2 - 15*p**2/2 + 9*p.
-3*p*(p - 1)*(p + 6)/2
Find q, given that q**3/2 - 11*q**2/2 - 2*q + 22 = 0.
-2, 2, 11
Let 2*v**5/11 - 214*v**4/11 + 7772*v**3/11 - 100660*v**2/11 + 178850*v/11 - 85750/11 = 0. Calculate v.
1, 35
Factor -3*i**3/4 - 2124*i**2 - 2005056*i - 630924288.
-3*(i + 944)**3/4
Solve 3*k**4/2 + 4503*k**3/2 - 40689*k**2/2 + 122229*k/2 - 61155 = 0 for k.
-1510, 3
Factor -5*j**3/3 - 230*j**2/3.
-5*j**2*(j + 46)/3
Factor 2*u**2/3 + 4348*u/3.
2*u*(u + 2174)/3
Determine f, given that 4*f**4/17 + 3090*f**3/17 + 597528*f**2/17 + 297992*f/17 = 0.
-386, -1/2, 0
Find r such that 436*r**2 + 944*r + 144 = 0.
-2, -18/109
Factor 2*i**4 + 124*i**3 - 384*i**2 + 388*i - 130.
2*(i - 1)**3*(i + 65)
Suppose 21*u**5 + 36*u**4 - 117*u**3 - 96*u**2 + 36*u = 0. What is u?
-3, -1, 0, 2/7, 2
Determine m so that -45*m**5 + 205*m**4 + 460*m**3 - 380*m**2 - 240*m = 0.
-2, -4/9, 0, 1, 6
Factor -v**2/2 - 798*v.
-v*(v + 1596)/2
Let -6*d**5/5 - d**4/5 + 8*d**3/5 + d**2/5 - 2*d/5 = 0. What is d?
-1, -2/3, 0, 1/2, 1
Factor -2*n**4 + 706*n**3 - 82836*n**2 + 3202520*n + 3286064.
-2*(n - 118)**3*(n + 1)
Suppose -k**5/6 - 38*k**4/3 - 145*k**3/6 + 113*k**2/3 + 146*k/3 - 148/3 = 0. What is k?
-74, -2, 1
Factor i**3/4 + 7*i**2/4 + 3*i.
i*(i + 3)*(i + 4)/4
Factor 2*u**4/3 + 280*u**3/3 + 4900*u**2 + 343000*u/3 + 3001250/3.
2*(u + 35)**4/3
Find f such that f**3/3 - 14*f**2/3 + 56*f/3 - 64/3 = 0.
2, 4, 8
Factor 4*s**2 + 924*s - 1864.
4*(s - 2)*(s + 233)
Factor -2*f**3/3 + 188*f**2/3 - 370*f/3 + 184/3.
-2*(f - 92)*(f - 1)**2/3
Find f such that -3*f**3/4 + 5*f**2 + 31*f/4 + 2 = 0.
-1, -1/3, 8
Factor -h**4 - 137*h**3 - 271*h**2 - 135*h.
-h*(h + 1)**2*(h + 135)
Suppose 9*n**5/5 + 15*n**4 + 54*n**3/5 - 468*n**2/5 - 168*n/5 + 288/5 = 0. What is n?
-6, -4, -1, 2/3, 2
Factor -4*s**5 - 84*s**4 - 588*s**3 - 1372*s**2.
-4*s**2*(s + 7)**3
Find t such that 52*t**4/9 + 164*t**3/9 + 20*t**2 + 76*t/9 + 8/9 = 0.
-1, -2/13
Determine q so that 56*q**2 - 8300*q + 1776 = 0.
3/14, 148
Factor n**5 - 170*n**4 + 4897*n**3 + 197880*n**2 + 1354896*n.
n*(n - 97)**2*(n + 12)**2
Solve -2*y**2/9 - 2*y/9 = 0 for y.
-1, 0
Let 3*n**4/7 - 333*n**3/7 + 12321*n**2/7 - 151959*n/7 = 0. Calculate n.
0, 37
Find t such that t**2/2 + 4*t + 6 = 0.
-6, -2
Factor k**3/4 - 5*k**2/4 + 7*k/4 - 3/4.
(k - 3)*(k - 1)**2/4
Solve -g**5/3 - 34*g**4/9 - 11*g**3/3 + 74*g**2/9 + 4*g - 40/9 = 0.
-10, -2, -1, 2/3, 1
Find t, given that 3*t**3 + 27*t**2 + 45*t + 21 = 0.
-7, -1
Factor x**2/2 + 12*x + 22.
(x + 2)*(x + 22)/2
Factor 12*q**3/7 + 603*q**2/7 - 3882*q/7 - 144.
3*(q - 6)*(q + 56)*(4*q + 1)/7
Factor g**4 + g**3 - 3*g**2 - 5*g - 2.
(g - 2)*(g + 1)**3
Factor -4*z**3 + 104*z**2 - 180*z - 288.
-4*(z - 24)*(z - 3)*(z + 1)
Suppose -4*j**2 + 232*j + 236 = 0. What is j?
-1, 59
Suppose -3*h**4 + 15*h**3 - 21*h**2 + 9*h = 0. Calculate h.
0, 1, 3
Determine l so that -5*l**3 + 290*l**2 - 255*l - 1710 = 0.
-2, 3, 57
Factor -9*y**2/8 + 75*y/8 + 27/4.
-3*(y - 9)*(3*y + 2)/8
Determine n, given that -3*n**3 - 21*n**2 + 2676*n - 2652 = 0.
-34, 1, 26
Factor 5*p**3 + 125*p**2 + 340*p + 220.
5*(p + 1)*(p + 2)*(p + 22)
Solve -p**3 + 9*p**2 + 4*p - 36 = 0.
-2, 2, 9
Factor -4*b**2 - 10*b - 6.
-2*(b + 1)*(2*b + 3)
Let -n**4/3 - 7*n**3/3 + 13*n**2 + 95*n/3 + 50/3 = 0. Calculate n.
-10, -1, 5
Determine r so that -2*r**4/9 + 20*r**3/9 - 64*r**2/9 + 64*r/9 = 0.
0, 2, 4
Factor 4*v**2 + 40*v.
4*v*(v + 10)
Factor 3*c**4/4 - 9*c**3 + 24*c**2.
3*c**2*(c - 8)*(c - 4)/4
Determine o so that o**2/9 - 31*o/9 + 130/9 = 0.
5, 26
Find n such that 3*n**4/2 - 399*n**3/2 + 6327*n**2 + 20400*n + 13872 = 0.
-2, -1, 68
Solve 6*d**5/7 + 69*d**4/7 + 312*d**3/7 + 99*d**2 + 108*d + 324/7 = 0 for d.
-3, -2, -3/2
Let 2*t**4 - 22*t**3 + 54*t**2 - 50*t + 16 = 0. Calculate t.
1, 8
Factor -4*w**2/3 - 128*w/3 - 256.
-4*(w + 8)*(w + 24)/3
Factor 27*a**3 - 183*a**2 + 120*a + 36.
3*(a - 6)*(a - 1)*(9*a + 2)
Fa