hat 2*j**5/25 + 84*j**4/25 + 692*j**3/25 - 864*j**2/25 - 694*j/25 + 156/5 = 0.
-30, -13, -1, 1
Factor -4*h**2 - 2972*h - 2968.
-4*(h + 1)*(h + 742)
Suppose -2*k**5/17 - 1730*k**4/17 - 374976*k**3/17 - 373248*k**2/17 = 0. What is k?
-432, -1, 0
Determine g so that -g**5/4 + 7*g**4/4 - 5*g**3/4 - 7*g**2/4 + 3*g/2 = 0.
-1, 0, 1, 6
What is g in g**2/3 + 163*g/3 = 0?
-163, 0
Factor -3*y**5/4 - 15*y**4/2 - 75*y**3/4 + 15*y**2 + 60*y - 48.
-3*(y - 1)**2*(y + 4)**3/4
Let -8*v**5 - 2*v**4 + 13*v**3 - 3*v**2 = 0. What is v?
-3/2, 0, 1/4, 1
Factor f**2/2 + 811*f/2 - 406.
(f - 1)*(f + 812)/2
Factor 2*f**2/7 + 564*f/7 + 39762/7.
2*(f + 141)**2/7
Determine l so that -2*l**5 + 218*l**4 - 6046*l**3 + 5614*l**2 + 6048*l - 5832 = 0.
-1, 1, 54
What is z in z**2/7 - 18*z/7 + 72/7 = 0?
6, 12
Determine v so that 5*v**3 - 385*v**2 - 5*v + 385 = 0.
-1, 1, 77
Find p such that 4*p**3/7 - 48*p**2/7 + 144*p/7 - 128/7 = 0.
2, 8
Factor 2*v**2 - 24*v + 70.
2*(v - 7)*(v - 5)
Factor b**3 + 861*b**2 + 247107*b + 23639903.
(b + 287)**3
Factor 2*y**3/7 - 2628*y**2/7 + 2622*y/7 + 5252/7.
2*(y - 1313)*(y - 2)*(y + 1)/7
Factor 4*v**2 + 49652*v/7 + 14184/7.
4*(v + 1773)*(7*v + 2)/7
Factor -z**3/3 - 3*z**2 + 7*z - 11/3.
-(z - 1)**2*(z + 11)/3
Solve 3*n**3/2 - 87*n**2/2 + 153*n/2 + 243/2 = 0.
-1, 3, 27
Factor 3*s**4/7 - 3*s**2 + 18*s/7.
3*s*(s - 2)*(s - 1)*(s + 3)/7
Factor w**5 - 68*w**4 + 925*w**3 + 8214*w**2.
w**2*(w - 37)**2*(w + 6)
Suppose q**3 - 228*q**2 - 924*q - 928 = 0. What is q?
-2, 232
Find g such that -20*g**4/3 - 2079*g**3 + 938*g**2/3 + 208*g = 0.
-312, -1/4, 0, 2/5
Factor 3*d**3 + 162*d**2 + 2475*d + 7500.
3*(d + 4)*(d + 25)**2
Solve -4*o**5 + 7*o**4 + 2*o**3 - 8*o**2 + 2*o + 1 = 0.
-1, -1/4, 1
What is g in g**4/10 - g**3/5 = 0?
0, 2
Factor -4*z**2 - 11424*z.
-4*z*(z + 2856)
Determine d so that -3*d**2/2 + 1491*d/2 + 747 = 0.
-1, 498
Let -m**4/2 + 4*m**3 - 15*m**2/2 - 2*m + 10 = 0. Calculate m.
-1, 2, 5
Solve 20*b**4 + 33*b**3 - 105*b**2 - 76*b - 12 = 0.
-3, -2/5, -1/4, 2
Solve 5*h**5 + 140*h**4 - 1375*h**3 + 2310*h**2 - 1080*h = 0 for h.
-36, 0, 1, 6
Factor 2*m**2/9 + 122*m/9 + 1100/9.
2*(m + 11)*(m + 50)/9
Factor 633*i**2 - 579*i - 54.
3*(i - 1)*(211*i + 18)
Determine y so that -2*y**3/3 - 38*y**2/3 - 66*y - 54 = 0.
-9, -1
Solve 2*i**5/5 + 28*i**4/5 + 18*i**3 - 112*i**2/5 - 392*i/5 = 0.
-7, -2, 0, 2
Factor 3*d**4/5 + 12*d**3 + 204*d**2/5 + 192*d/5.
3*d*(d + 2)**2*(d + 16)/5
Determine u, given that 5*u**2 - 6430*u + 2067245 = 0.
643
Factor -2*r**2/15 + 14*r/3 - 204/5.
-2*(r - 18)*(r - 17)/15
Suppose -2*d**5 + 66*d**4 + 300*d**3 - 124*d**2 - 906*d + 666 = 0. Calculate d.
-3, 1, 37
Factor -2*j**2 + 16*j + 18.
-2*(j - 9)*(j + 1)
What is b in -b**3/5 + 4*b**2/5 + 12*b/5 = 0?
-2, 0, 6
Factor 2*l**2/7 - 20*l/7 - 22/7.
2*(l - 11)*(l + 1)/7
Find o such that -12*o**4 - 52*o**3 - 32*o**2 + 48*o = 0.
-3, -2, 0, 2/3
Suppose 2*t**3/3 + 866*t**2/3 - 3490*t/3 + 874 = 0. Calculate t.
-437, 1, 3
Find x such that -x**4/2 + 11*x**3 = 0.
0, 22
What is v in 2*v**5/7 - 24*v**4/7 = 0?
0, 12
Determine h so that 2*h**2/3 = 0.
0
Suppose -u**4/4 + 13*u**3/2 - 57*u**2 + 371*u/2 - 539/4 = 0. Calculate u.
1, 7, 11
Factor -73167*x**4/5 + 7569*x**3/5 - 261*x**2/5 + 3*x/5.
-3*x*(29*x - 1)**3/5
Find g, given that -5*g**5/3 - 20*g**4/3 - 5*g**3/3 + 10*g**2 = 0.
-3, -2, 0, 1
Solve v**2/6 + v/6 - 1/3 = 0.
-2, 1
Solve 16*r**2/3 - 14*r/9 - 4/3 = 0 for r.
-3/8, 2/3
Solve -8*k**5/3 - 106*k**4/9 - 124*k**3/9 + 2*k**2/3 + 40*k/9 - 8/9 = 0 for k.
-2, -1, 1/4, 1/3
Factor 6*d**2 + 417*d + 207.
3*(d + 69)*(2*d + 1)
Factor -2*p**3/3 + 2*p**2/3 + 10*p/3 + 2.
-2*(p - 3)*(p + 1)**2/3
Factor -2*n**2/3 - 56*n/3 - 130.
-2*(n + 13)*(n + 15)/3
Factor 2*o**3 - 6*o**2 + 4*o.
2*o*(o - 2)*(o - 1)
Factor 3*u**3/2 - 517*u**2/6 - 49*u + 116/3.
(u - 58)*(u + 1)*(9*u - 4)/6
Let 3*f**4/5 + 153*f**3/5 - 1026*f**2/5 = 0. Calculate f.
-57, 0, 6
Factor 11*z**4/5 + 42*z**3/5 + 36*z**2/5 - 8*z/5.
z*(z + 2)**2*(11*z - 2)/5
Find n such that -n**3/11 + 78*n**2/11 - 1596*n/11 + 2888/11 = 0.
2, 38
Factor 5*q**2/4 - 240*q + 2835/4.
5*(q - 189)*(q - 3)/4
Factor -t**2/2 + 12*t - 23/2.
-(t - 23)*(t - 1)/2
Determine y, given that -4*y**4 - 44*y**3 - 140*y**2 - 100*y = 0.
-5, -1, 0
Let -5*b**2 + 330*b - 2565 = 0. Calculate b.
9, 57
Factor -5*y**2/2 - 150*y + 945/2.
-5*(y - 3)*(y + 63)/2
Factor -l**4 - 3*l**3 + 10*l**2.
-l**2*(l - 2)*(l + 5)
Factor 18*i**3 - 7500*i**2 - 10024*i - 3344.
2*(i - 418)*(3*i + 2)**2
Suppose -3*i**4 - 9*i**3 + 165*i**2 - 423*i + 270 = 0. Calculate i.
-10, 1, 3
Determine a so that 3*a**5 + 24*a**4 + 45*a**3 - 24*a**2 - 48*a = 0.
-4, -1, 0, 1
Factor 2*d**3/13 - 70*d**2/13 + 646*d/13 - 578/13.
2*(d - 17)**2*(d - 1)/13
Factor 2*a**3/3 - 76*a**2/3 + 952*a/3 - 3920/3.
2*(a - 14)**2*(a - 10)/3
Find p, given that 2*p**3/3 + 4*p**2/3 - 8*p/3 - 16/3 = 0.
-2, 2
Factor t**2 - 49*t + 94.
(t - 47)*(t - 2)
Factor -2*n**5/9 + 280*n**4/9 - 9514*n**3/9 - 20164*n**2/9.
-2*n**2*(n - 71)**2*(n + 2)/9
Factor -2*z**5/5 + 4*z**4/5 - 2*z**3/5.
-2*z**3*(z - 1)**2/5
Suppose 10*k**5 - 31*k**4 - 27*k**3 + 113*k**2 - 71*k + 6 = 0. What is k?
-2, 1/10, 1, 3
Factor -16*z**3 + 6120*z**2 + 3063*z + 383.
-(z - 383)*(4*z + 1)**2
Find z such that 3*z**3/5 - 66*z**2/5 - 45*z = 0.
-3, 0, 25
Factor 3*v**2 - 417*v + 414.
3*(v - 138)*(v - 1)
Factor 2*n**4 - 7*n**3 + 15*n**2/2 - 13*n/4 + 1/2.
(n - 2)*(2*n - 1)**3/4
What is y in y**3 - 60*y**2 + 117*y - 58 = 0?
1, 58
Factor 2*h**2/7 - 4*h + 66/7.
2*(h - 11)*(h - 3)/7
Factor -o**3/4 + 9*o**2/2 + 67*o/4 - 21.
-(o - 21)*(o - 1)*(o + 4)/4
What is o in 5*o**4 - 30*o**3 + 65*o**2 - 60*o + 20 = 0?
1, 2
Factor 3*o**3/5 + 57*o**2/5 - 3*o/5 - 57/5.
3*(o - 1)*(o + 1)*(o + 19)/5
Solve 64*n**5 + 130*n**4 + 68*n**3 + 2*n**2 = 0 for n.
-1, -1/32, 0
Factor 4*h**4 + 4*h**3 - 40*h**2 - 16*h + 96.
4*(h - 2)**2*(h + 2)*(h + 3)
Factor -b**2 + 50*b.
-b*(b - 50)
What is i in -2*i**3/9 + 28*i**2/3 - 18*i + 80/9 = 0?
1, 40
Factor 5*c**5 + 20*c**4 + 20*c**3 - 10*c**2 - 25*c - 10.
5*(c - 1)*(c + 1)**3*(c + 2)
Find f, given that 5*f**5/2 + 820*f**4 - 15*f**3/2 - 2465*f**2 - 1640*f = 0.
-328, -1, 0, 2
Find g such that g**4/7 - 4*g**3/7 = 0.
0, 4
Suppose 2*p**3 - 76*p**2 - 246*p = 0. What is p?
-3, 0, 41
Factor 2*x**5/3 + 8*x**4 + 22*x**3/3.
2*x**3*(x + 1)*(x + 11)/3
Factor -3*w**2 + 84*w.
-3*w*(w - 28)
Factor 2*c**3/7 + 1234*c**2/7.
2*c**2*(c + 617)/7
Determine i, given that 70*i**5 + 1335*i**4 + 9195*i**3 + 26690*i**2 + 27060*i + 1800 = 0.
-6, -5, -2, -1/14
Factor -o**2/7 + 23*o/7 - 130/7.
-(o - 13)*(o - 10)/7
Factor -3*q**4/2 + 12*q**3 - 33*q**2/2 - 30*q.
-3*q*(q - 5)*(q - 4)*(q + 1)/2
Suppose -l**2/4 + 145*l - 21025 = 0. Calculate l.
290
Determine a, given that -1285*a**3 - 20*a**2 = 0.
-4/257, 0
Factor 2*c**3/11 - 210*c**2/11.
2*c**2*(c - 105)/11
Factor -3*y**4/2 + 3*y**3 + 36*y**2.
-3*y**2*(y - 6)*(y + 4)/2
Factor n**2 + 48*n + 572.
(n + 22)*(n + 26)
Factor -2*s**2/3 - 26*s/3 + 20.
-2*(s - 2)*(s + 15)/3
Suppose 2*p**4/7 + 24*p**3 = 0. What is p?
-84, 0
Factor 75*q**4 - 3030*q**3 + 31203*q**2 - 12120*q + 1200.
3*(q - 20)**2*(5*q - 1)**2
Factor 5*j**2 - 700*j + 8820.
5*(j - 126)*(j - 14)
Suppose 6*v**5/13 - 4*v**4 + 150*v**3/13 - 160*v**2/13 + 24*v/13 + 32/13 = 0. Calculate v.
-1/3, 1, 2, 4
Factor -5*y**2/6 - 1130*y/3 - 127690/3.
-5*(y + 226)**2/6
Factor -2*q**2 + 3256*q - 1325192.
-2*(q - 814)**2
Find b, given that -5*b**5/3 - 2*b**4 - b**3/3 = 0.
-1, -1/5, 0
Determine b, given that 5*b**5 - 20*b**4 - 10*b**3 + 40*b**2 + 5*b - 20 = 0.
-1, 1, 4
Factor 2*t**5/15 - 338*t**4/3 - 564*t**3/5.
2*t**3*(t - 846)*(t + 1)/15
Determine q so that q**3/8 - 297*q**2/8 + 29403*q/8 - 970299/8 = 0.
99
Solve -3*h**5/5 - 19*h**4/5 - 6*h**3 + 2*h**2 + 33*h/5 + 9/5 = 0.
-3, -1, -1/3, 1
Solve 147*z**2 - 30*z = 0.
0, 10/49
Factor 2*u**3/19 + 40*u**2/19 + 72*u/19.
2*u*(u + 2)*(u + 18)/19
Factor 2*w**3 - 6*w**2 - 32*w - 24.
2*(w - 6)*(w + 1)*(w + 2)
Factor 5*i**3 - 170*i**2 + 1260*i + 3240.
5*(i - 18)**2*(i + 2)
Factor 3*j**4 + 3*j**3 - 9*j**2 - 3*j + 6.
3*(j - 1)**2*(j + 1)*(j + 2)
Factor 2*y**2/13 - 66*y/13 - 560/13.
2*(y - 40)*(y + 7)/13
Solve 4*h**2 + 350*h + 174 = 0.
-87, -1/2
Solve 4*b**4/7 - 68*b**3/7 - 80*b**2/7 + 144*b/7 = 0 for b.
-2, 0, 1, 18
Determine n, given that -3*n**4/4 + 3*n**3 + 213*n**2/4 + 99*n/2 = 0.
-6, -1, 0, 11
What is x in -x**2/5 - 12*x