
Solve -20*w**4 + 55*w**2 + 45*w + 10 = 0 for w.
-1, -1/2, 2
Factor 3*m**2 - 543*m - 546.
3*(m - 182)*(m + 1)
Suppose 2*t**5/5 - 224*t**4/5 + 1296*t**3/5 - 512*t**2 + 1696*t/5 = 0. Calculate t.
0, 2, 106
Solve -w**3 + 6*w**2 - 12*w + 8 = 0 for w.
2
Solve 3*k**4 - 12*k**3 - 57*k**2 - 42*k = 0 for k.
-2, -1, 0, 7
Factor 525*l**2 + 115*l - 120.
5*(5*l + 3)*(21*l - 8)
Factor 2*s**3/3 - 6*s**2 - 2*s/3 + 6.
2*(s - 9)*(s - 1)*(s + 1)/3
Factor -3*n**2 - 135*n.
-3*n*(n + 45)
Solve -3*y**3 - 446*y**2 - 16724*y - 10952 = 0 for y.
-74, -2/3
Determine u, given that -2*u**4/7 - 16*u**3/7 - 18*u**2/7 + 36*u/7 = 0.
-6, -3, 0, 1
Factor -a**2/3 + 12*a - 323/3.
-(a - 19)*(a - 17)/3
Suppose -y**4/3 - 64*y**3 + y**2/3 + 64*y = 0. What is y?
-192, -1, 0, 1
Factor 2*l**4/7 + 2*l**3 + 2*l**2/7 - 54*l/7 + 36/7.
2*(l - 1)**2*(l + 3)*(l + 6)/7
Factor -f**5 + 4*f**4 + f**3 - 4*f**2.
-f**2*(f - 4)*(f - 1)*(f + 1)
Determine w so that -35*w**5/2 - 199*w**4/2 - 202*w**3 - 176*w**2 - 64*w - 8 = 0.
-2, -1, -2/5, -2/7
Determine l so that 2*l**3/7 + 82*l**2/7 - 660*l/7 + 576/7 = 0.
-48, 1, 6
Factor -c**3/4 - c**2/4 + c/4 + 1/4.
-(c - 1)*(c + 1)**2/4
Let -12*d**4 + 152*d**3 - 672*d**2 + 1152*d - 512 = 0. Calculate d.
2/3, 4
Suppose 10*o**3 + 58*o**2 + 68*o - 16 = 0. What is o?
-4, -2, 1/5
Factor 2*i**4/9 + 22*i**3/9 + 52*i**2/9 + 32*i/9.
2*i*(i + 1)*(i + 2)*(i + 8)/9
Factor -7209*z**2 - 7203*z + 6.
-3*(z + 1)*(2403*z - 2)
Factor 2*a**2/3 - 602*a - 1808/3.
2*(a - 904)*(a + 1)/3
Factor -5*h**2 - 45*h/2 + 45.
-5*(h + 6)*(2*h - 3)/2
Determine m so that -144*m**4 + 24*m**3 + 87*m**2 + 30*m + 3 = 0.
-1/3, -1/4, 1
Let 3*z**4 - 25*z**3/3 - 32*z**2 - 20*z/3 = 0. What is z?
-2, -2/9, 0, 5
Suppose -f**3/9 - 209*f**2/9 - 415*f/9 - 23 = 0. Calculate f.
-207, -1
Factor -2*f**3/5 - 38*f**2/5 - 174*f/5 - 234/5.
-2*(f + 3)**2*(f + 13)/5
Find t such that -22941356*t**3 - 1537968*t**2 - 34368*t - 256 = 0.
-4/179
Solve -3*l**3 - 1413*l**2 - 167085*l - 165675 = 0.
-235, -1
What is j in -2*j**3/5 + 128*j**2/5 + 262*j/5 + 132/5 = 0?
-1, 66
Solve 180*u**2 + 358*u - 4 = 0 for u.
-2, 1/90
Factor -12*y**3 - 87*y**2 - 141*y - 30.
-3*(y + 2)*(y + 5)*(4*y + 1)
Determine r so that r**5/3 - 16*r**4 + 620*r**3/3 - 1010*r**2/3 - 207*r + 1058/3 = 0.
-1, 1, 2, 23
Find m such that 4*m**3 + 76*m**2 + 416*m + 704 = 0.
-11, -4
Factor -4*s**2/7 - 142*s - 496/7.
-2*(s + 248)*(2*s + 1)/7
Suppose -66*n**5 - 778*n**4 - 2208*n**3 + 504*n**2 = 0. What is n?
-6, 0, 7/33
Suppose 32*q**4/3 + 144*q**3 - 234*q**2 + 268*q/3 - 10 = 0. Calculate q.
-15, 1/4, 1
Find k such that -k**2/7 - 10*k/7 - 3 = 0.
-7, -3
Solve 8*z**3/7 + 6*z**2/7 - 8*z/7 - 6/7 = 0 for z.
-1, -3/4, 1
Factor -5*h**3 + 475*h**2 - 10535*h - 36015.
-5*(h - 49)**2*(h + 3)
Factor -g**3/3 + 3*g.
-g*(g - 3)*(g + 3)/3
Determine o so that -o**5/2 + 227*o**4/2 - 13655*o**3/2 + 88009*o**2/2 - 91740*o + 54450 = 0.
1, 3, 110
Factor 7*s**2/3 + 25*s - 22/3.
(s + 11)*(7*s - 2)/3
Determine w, given that -3*w**5 + 99*w**4 - 279*w**3 + 273*w**2 - 90*w = 0.
0, 1, 30
Solve -v**3/4 - 17*v**2/2 - 65*v/4 - 8 = 0.
-32, -1
Factor -7*l**5/4 + 33*l**4/4 + 5*l**3/2.
-l**3*(l - 5)*(7*l + 2)/4
Solve -3*z**3/5 + 3*z**2 + 24*z/5 - 36/5 = 0 for z.
-2, 1, 6
Find p, given that p**4/6 - p**3/6 - p**2/2 + 5*p/6 - 1/3 = 0.
-2, 1
What is d in -2*d**2/9 + 112*d/3 - 1568 = 0?
84
Solve -3*h**4/2 - 225*h**3/2 = 0 for h.
-75, 0
Factor 4*z**4/7 + 104*z**3/7 + 500*z**2/7 + 400*z/7.
4*z*(z + 1)*(z + 5)*(z + 20)/7
Determine z so that 18*z**5 - 597*z**4 + 657*z**3 + 501*z**2 - 675*z + 96 = 0.
-1, 1/6, 1, 32
Factor y**4/3 - 11*y**3/3 + 38*y**2/3 - 52*y/3 + 8.
(y - 6)*(y - 2)**2*(y - 1)/3
Find u, given that 4*u**3 - 23*u**2 - 6*u = 0.
-1/4, 0, 6
Let -15*y**3 - 6*y**2 + 39*y - 18 = 0. What is y?
-2, 3/5, 1
Factor 3*s**2 - 384*s - 780.
3*(s - 130)*(s + 2)
Solve u**4 + u**3 - 80*u**2 - 12*u + 1440 = 0 for u.
-8, -5, 6
Determine k, given that -4*k**5/7 - 20*k**4/7 + 68*k**3/7 + 68*k**2/7 - 128*k/7 - 16 = 0.
-7, -1, 2
Factor 2*l**2/19 - 32*l/19 - 72/19.
2*(l - 18)*(l + 2)/19
Solve 2*x**5/13 + 16*x**4/13 + 24*x**3/13 = 0.
-6, -2, 0
Factor -125*x**2 + 140*x - 15.
-5*(x - 1)*(25*x - 3)
What is y in -3*y**2/7 + 9*y/7 + 30/7 = 0?
-2, 5
Factor 2*v**2/9 + 10*v - 92/9.
2*(v - 1)*(v + 46)/9
Solve -k**5 - 308*k**4 - 31825*k**3 - 1123938*k**2 - 2153628*k - 1061208 = 0.
-102, -1
Solve -5*r**3/2 - 15*r**2 + 675*r/2 = 0 for r.
-15, 0, 9
Let -3*k**5 + 6*k**4 + 3*k**3 - 6*k**2 = 0. What is k?
-1, 0, 1, 2
Let -a**4/4 - 12*a**3 - 54*a**2 + 2160*a - 8100 = 0. Calculate a.
-30, 6
Factor -5*f**5 + 30*f**3 + 40*f**2 + 15*f.
-5*f*(f - 3)*(f + 1)**3
Factor -104*b**2/7 + 6*b - 4/7.
-2*(4*b - 1)*(13*b - 2)/7
Factor 5*u**2/3 + 2540*u/3 - 2545/3.
5*(u - 1)*(u + 509)/3
Factor -c**3/5 + 9*c**2/5 + 52*c/5.
-c*(c - 13)*(c + 4)/5
What is j in -98*j**2/11 - 10024*j/11 - 256328/11 = 0?
-358/7
Determine o so that -2*o**3 - 12*o**2 - 24*o - 16 = 0.
-2
Factor -4*c**4 + 16*c**3 - 20*c**2 + 8*c.
-4*c*(c - 2)*(c - 1)**2
Factor -p**4 - 49*p**3 - 765*p**2 - 3179*p + 9826.
-(p - 2)*(p + 17)**3
Factor 4*c**2 + 68*c - 936.
4*(c - 9)*(c + 26)
Suppose z**4/11 + 17*z**3/11 + 93*z**2/11 + 207*z/11 + 162/11 = 0. What is z?
-9, -3, -2
Factor 5*j**2 + 10*j - 715.
5*(j - 11)*(j + 13)
Factor -2*j**2/7 + 796*j/7 + 114.
-2*(j - 399)*(j + 1)/7
Factor -d**3/3 + 11*d**2/3 - 28*d/3.
-d*(d - 7)*(d - 4)/3
Factor -v**2/3 + 9*v + 520/3.
-(v - 40)*(v + 13)/3
Let -36*u**5 + 1023*u**4 - 1374*u**3 - 96*u**2 + 402*u + 81 = 0. What is u?
-1/3, -1/4, 1, 27
Suppose 2*o**5/5 + 8*o**4/5 - 32*o**3/5 - 32*o**2/5 + 96*o/5 = 0. Calculate o.
-6, -2, 0, 2
Factor -35*q**4 + 170*q**3 + 300*q**2 - 360*q.
-5*q*(q - 6)*(q + 2)*(7*q - 6)
Factor -4*s**4/3 - 35*s**3/3 - 23*s**2/3 + 8*s/3.
-s*(s + 1)*(s + 8)*(4*s - 1)/3
Let g**4/3 + 10*g**3/3 + 13*g**2/3 - 8*g = 0. What is g?
-8, -3, 0, 1
Factor 3*f**4 + 612*f**3 + 40986*f**2 + 856980*f - 2956581.
3*(f - 3)*(f + 69)**3
Let b**4/12 + 79*b**3/12 + 325*b**2/6 + 353*b/3 + 70 = 0. Calculate b.
-70, -6, -2, -1
Determine u so that 10*u**5/11 + 54*u**4/11 - 70*u**3/11 - 846*u**2/11 - 1404*u/11 - 432/11 = 0.
-3, -2/5, 4
Factor -p**2 - 3*p + 10.
-(p - 2)*(p + 5)
Solve 2*i**3/11 + 2*i**2 + 20*i/11 = 0 for i.
-10, -1, 0
What is m in 5*m**4 - 67*m**3 + 301*m**2 - 485*m + 150 = 0?
2/5, 3, 5
Solve b**5/3 - 10*b**4 + 56*b**3/3 = 0.
0, 2, 28
Let -4*f**2 + 21080*f - 27772900 = 0. Calculate f.
2635
Factor -h**3/2 - 1051*h**2/2 + 6333*h/2 - 9513/2.
-(h - 3)**2*(h + 1057)/2
Solve 2*x**2/3 + 200*x - 602/3 = 0.
-301, 1
Determine r so that r**2 + 31*r/2 + 15/2 = 0.
-15, -1/2
Factor 3*h**3 - 162*h**2 - 333*h - 168.
3*(h - 56)*(h + 1)**2
Solve -18*n**2 + 69*n + 12 = 0.
-1/6, 4
Determine i, given that 3*i**2 - 465*i + 918 = 0.
2, 153
Solve b**4/3 - 23*b**3/3 + 80*b**2/3 - 76*b/3 = 0 for b.
0, 2, 19
Let 4*w**5 - 56*w**4 + 292*w**3 - 688*w**2 + 704*w - 256 = 0. Calculate w.
1, 4
Let -q**3/10 - 7*q**2/10 - 3*q/5 = 0. Calculate q.
-6, -1, 0
Factor -3*r**4 + 6*r**3 + 240*r**2.
-3*r**2*(r - 10)*(r + 8)
Find d, given that 3*d**5/7 - 9*d**4/7 - 3*d**3/7 + 9*d**2/7 = 0.
-1, 0, 1, 3
Factor 2*z**2/5 + 6*z + 28/5.
2*(z + 1)*(z + 14)/5
Factor -5*z**2 + 13560*z - 9193680.
-5*(z - 1356)**2
Factor 4*t**3/5 + 164*t**2/5 - 896*t/5 + 1104/5.
4*(t - 3)*(t - 2)*(t + 46)/5
Find r such that 25*r**5/4 + 20*r**4 - 105*r**3/2 + 20*r**2 + 25*r/4 = 0.
-5, -1/5, 0, 1
Find k such that -4*k**5 - 4*k**4 + 4*k**3 + 4*k**2 = 0.
-1, 0, 1
Determine u so that u**5/8 + u**4/8 - 3*u**3/8 - 5*u**2/8 - u/4 = 0.
-1, 0, 2
Determine q, given that -2*q**4/5 - 6*q**3 + 32*q**2/5 = 0.
-16, 0, 1
Let -4*z**3/7 + 736*z**2/7 - 2896*z/7 + 2880/7 = 0. Calculate z.
2, 180
Factor i**3 + 103*i**2 + 2600*i - 2704.
(i - 1)*(i + 52)**2
Find l such that -25*l**4 + 1030*l**3 - 11589*l**2 + 20188*l - 9604 = 0.
1, 98/5
Solve -w**5 - 9*w**4 - 19*w**3 - 3*w**2 + 20*w + 12 = 0 for w.
-6, -2, -1, 1
Factor -1752976*j**2/5 + 5296*j/5 - 4/5.
-4*(662*j - 1)**2/5
Let -21*t**5 - 118*t**4 - 137*t**3 + 12*t**2 + 68*t + 16 = 0. What is t?
-4, -1, -2/7, 2/3
Let -5*x**3 - 30*x**2 - 45*x - 20 = 0. What is x?
-4, -1
Factor 5*a**2 - 220*a + 1440.
5*(a - 36)*(a - 8)
Factor 3*o**5/5 + 219*o**4/5 + 3657*o**3/5 - 2463*o**2 + 12768*o/5 - 4332/5.
3*(o - 1)**3*(o + 38)**2/5
Factor 4*y**3 + 20*y**2 - 8*y - 96.
4*(y - 2)*(y + 3)*(y + 4)
Factor -r**4 + 32*r**3 - 222*r*