*s**4 - 14*s**3 - 8*s**2 = 0. Calculate s.
-1, 0, 4
Solve -2*w**4/9 - 14*w**3/9 - 4*w**2/3 + 56*w/9 + 80/9 = 0.
-5, -2, 2
Factor m**4/11 - 1670*m**3/11 + 929076*m**2/11 - 171877946*m/11 - 172808693/11.
(m - 557)**3*(m + 1)/11
Factor -o**5/2 + 33*o**4/2 + 17*o**3.
-o**3*(o - 34)*(o + 1)/2
Solve 7*s**4 - 62*s**3/3 - 89*s**2/3 + 2*s/3 + 8/3 = 0 for s.
-1, -1/3, 2/7, 4
Factor 2*x**3/5 + 8*x**2/5.
2*x**2*(x + 4)/5
Factor -2*k**4 - 2*k**3 + 8*k**2 + 8*k.
-2*k*(k - 2)*(k + 1)*(k + 2)
What is m in -3*m**5 + 234*m**4 - 5559*m**3 + 24780*m**2 + 359856*m + 329280 = 0?
-5, -1, 28
Find d such that 5*d**2/4 - 45*d + 85 = 0.
2, 34
Factor v**2/4 + 11*v/4 + 6.
(v + 3)*(v + 8)/4
Factor -3*d**4 + 3*d**3 + 3*d**2 - 3*d.
-3*d*(d - 1)**2*(d + 1)
Factor -14*k**3 + 40*k**2 - 22*k - 4.
-2*(k - 2)*(k - 1)*(7*k + 1)
Factor -z**2/3 + 18*z - 243.
-(z - 27)**2/3
Factor 3*t**5/8 + 12*t**4 - 54*t**3.
3*t**3*(t - 4)*(t + 36)/8
Determine b, given that 2*b**2/15 - 316*b/5 + 946/15 = 0.
1, 473
Determine n, given that -9*n**5 + 93*n**4 - 285*n**3 + 207*n**2 + 114*n - 120 = 0.
-2/3, 1, 4, 5
Let 3*q**5 + 24*q**4 - 282*q**2 - 195*q + 450 = 0. What is q?
-5, -2, 1, 3
Let 2*v**3/3 - 128*v**2/3 - 134*v/3 + 260/3 = 0. Calculate v.
-2, 1, 65
Factor -2*h**2/13 + 42*h/13.
-2*h*(h - 21)/13
Let 3*g**3/5 + 30*g**2 + 921*g/5 + 774/5 = 0. Calculate g.
-43, -6, -1
Factor -y**3/7 - 71*y**2/7 - 440*y/7 + 32912/7.
-(y - 17)*(y + 44)**2/7
Suppose -h**4/7 - 6*h**3/7 - 12*h**2/7 - 10*h/7 - 3/7 = 0. What is h?
-3, -1
Suppose a**3/9 - 4*a**2/9 + 5*a/9 - 2/9 = 0. Calculate a.
1, 2
Factor 40*i**3/3 + 79*i**2/3 + 38*i/3 - 1/3.
(i + 1)**2*(40*i - 1)/3
Solve 475*z**4 + 2835*z**3 - 3415*z**2 + 105*z = 0.
-7, 0, 3/95, 1
Determine t so that -t**3/6 + 8*t**2/3 + 8*t/3 - 128/3 = 0.
-4, 4, 16
Suppose -4*g**2 + 1572*g + 1576 = 0. What is g?
-1, 394
Factor -4*s**4/5 + 224*s**3/5 - 3528*s**2/5 + 259308/5.
-4*(s - 21)**3*(s + 7)/5
Find j such that 463050*j**5 + 840105*j**4 - 172620*j**3 - 400*j**2 + 1680*j - 80 = 0.
-2, -1/10, 2/21
Factor 2*c**4 + 12*c**3 + 18*c**2 + 8*c.
2*c*(c + 1)**2*(c + 4)
What is k in 2*k**5/9 + 10*k**4/9 + 2*k**3/9 - 26*k**2/9 - 4*k/9 + 16/9 = 0?
-4, -2, -1, 1
What is d in d**5/8 - d**4/4 - d**3/2 + d**2/4 + 3*d/8 = 0?
-1, 0, 1, 3
Factor a**2 + 76*a + 420.
(a + 6)*(a + 70)
What is q in 9*q**5/7 - 57*q**4/7 + 15*q**3 - 15*q**2/7 - 114*q/7 + 72/7 = 0?
-1, 1, 4/3, 2, 3
What is r in 2*r**4 - 2*r**3 - 12*r**2 = 0?
-2, 0, 3
Factor 2*c**3/3 + 36*c**2 + 486*c.
2*c*(c + 27)**2/3
Find o, given that -3*o**5/4 - 319*o**4/4 - 9145*o**3/4 - 35449*o**2/4 - 10506*o - 2601 = 0.
-51, -2, -1/3
Factor -2*g**2/3 - 154*g/3 - 988.
-2*(g + 38)*(g + 39)/3
Determine o, given that 4*o**5 + o**4 - 12*o**3 - 11*o**2 - 2*o = 0.
-1, -1/4, 0, 2
Factor -34*w**3 + 28*w**2 + 6*w.
-2*w*(w - 1)*(17*w + 3)
Factor 2*h**3/21 - 2*h**2/7 + 8/21.
2*(h - 2)**2*(h + 1)/21
Determine a so that -a**3 + 475*a**2 + a - 475 = 0.
-1, 1, 475
Factor o**5 + 18*o**4 - 82*o**3 + 128*o**2 - 87*o + 22.
(o - 1)**4*(o + 22)
Find y such that -2*y**2 - 790*y + 1588 = 0.
-397, 2
Factor r**4 - 78*r**3 + 1669*r**2 - 5772*r + 5476.
(r - 37)**2*(r - 2)**2
Factor x**4/4 + 3*x**3/2 + 5*x**2/4 - 3*x.
x*(x - 1)*(x + 3)*(x + 4)/4
Find a, given that 4*a**2 - 160*a + 156 = 0.
1, 39
Let -u**4/11 - 27*u**3/11 - 166*u**2/11 + 252*u/11 + 392/11 = 0. What is u?
-14, -1, 2
Factor 4*x**2 + 2680*x + 2676.
4*(x + 1)*(x + 669)
Factor 2*c**4 + 96*c**3 + 654*c**2 - 13552*c - 14112.
2*(c - 9)*(c + 1)*(c + 28)**2
Determine i so that i**4/4 + 3*i**3/4 - i**2/4 - 3*i/4 = 0.
-3, -1, 0, 1
Let -2*q**3 - 12*q**2 + 54*q = 0. Calculate q.
-9, 0, 3
Factor 2*a**5/9 + 2*a**4/3 + 4*a**3/9.
2*a**3*(a + 1)*(a + 2)/9
Factor -2*m**3 + 666*m**2 + 668*m.
-2*m*(m - 334)*(m + 1)
What is f in -2*f**2/9 + 16*f - 2542/9 = 0?
31, 41
Factor p**5 - 3*p**4 - 32*p**3 - 60*p**2 - 32*p.
p*(p - 8)*(p + 1)*(p + 2)**2
Factor j**3 - 43*j**2 - 90*j.
j*(j - 45)*(j + 2)
Factor u**5 - 3*u**4 + 3*u**3 - u**2.
u**2*(u - 1)**3
Factor -126*b**5 + 192*b**4 - 86*b**3 + 12*b**2.
-2*b**2*(3*b - 1)**2*(7*b - 6)
Solve k**2 + 4*k - 837 = 0 for k.
-31, 27
Factor 30*d**3 - 4685*d**2 + 183300*d - 30420.
5*(d - 78)**2*(6*d - 1)
Solve -2*i**3/11 - 378*i**2/11 + 380*i/11 = 0 for i.
-190, 0, 1
Determine u so that -2*u**3/5 + 2*u**2/5 + 42*u/5 - 18 = 0.
-5, 3
Factor -2*g**5/11 + 50*g**4/11 + 108*g**3/11.
-2*g**3*(g - 27)*(g + 2)/11
Factor w**5 - 11*w**4 + 43*w**3 - 69*w**2 + 36*w.
w*(w - 4)*(w - 3)**2*(w - 1)
Factor 2*v**3/7 - 32*v**2/7 + 82*v/7 - 52/7.
2*(v - 13)*(v - 2)*(v - 1)/7
What is x in -3*x**3 + 3*x**2 + 15*x + 9 = 0?
-1, 3
Factor -4*m**3/5 + 44*m**2/5 - 8*m.
-4*m*(m - 10)*(m - 1)/5
Let -5*x**2 - 45*x + 350 = 0. What is x?
-14, 5
Solve -a**3/2 - 41*a**2/2 - 17*a + 120 = 0 for a.
-40, -3, 2
Let -l**3 + 6*l**2 + 4*l - 24 = 0. Calculate l.
-2, 2, 6
Factor -2500*b**4/3 - 12100*b**3/3 - 18841*b**2/3 - 3388*b - 588.
-(b + 2)**2*(50*b + 21)**2/3
Find p such that -p**2 - 29*p - 120 = 0.
-24, -5
Solve -2*y**4/7 + 12*y**3/7 + 200*y**2/7 + 48*y = 0.
-6, -2, 0, 14
Suppose 2*l**3 - 110*l**2 + 416*l - 408 = 0. Calculate l.
2, 51
Determine x so that 3*x**3 - 48*x**2 - 105*x - 54 = 0.
-1, 18
Determine u so that u**3/4 - 3*u**2/4 + u/2 = 0.
0, 1, 2
Factor a**4/5 - 9*a**3 - 141*a**2/5 - 143*a/5 - 48/5.
(a - 48)*(a + 1)**3/5
Suppose -5*m**4 + 65*m**3 - 165*m**2 + 155*m - 50 = 0. Calculate m.
1, 10
Solve 4*b**4 - 12*b**3 - 28*b**2 + 108*b - 72 = 0.
-3, 1, 2, 3
Factor -z**3/10 - 503*z**2/5.
-z**2*(z + 1006)/10
Factor m**2/3 + 13*m/3 - 14/3.
(m - 1)*(m + 14)/3
Solve -4*i**3/3 - 16*i**2 + 316*i/3 - 136 = 0.
-17, 2, 3
Suppose -28*x**5 + 50*x**4 + 226*x**3 + 100*x**2 - 48*x = 0. What is x?
-3/2, -1, 0, 2/7, 4
Determine b, given that -5*b**3 - 5*b**2 + 50*b - 40 = 0.
-4, 1, 2
Factor -5*l**2 - 115*l.
-5*l*(l + 23)
Solve 5*i**4 + 3*i**3 - 22*i**2 - 12*i + 8 = 0 for i.
-2, -1, 2/5, 2
Factor -w**5/7 - 4*w**4/7 - 4*w**3/7 + 2*w**2/7 + 5*w/7 + 2/7.
-(w - 1)*(w + 1)**3*(w + 2)/7
Find w such that -2*w**5/7 + 86*w**4/7 - 34*w**3 - 86*w**2/7 + 240*w/7 = 0.
-1, 0, 1, 3, 40
Find f such that 21*f**5 - 118*f**4 - 199*f**3 - 32*f**2 + 28*f = 0.
-1, -2/3, 0, 2/7, 7
Suppose 5*s**4 + 55*s**3 - 5*s**2 - 55*s = 0. Calculate s.
-11, -1, 0, 1
Determine v so that -2*v**2 + 234*v + 968 = 0.
-4, 121
Find v such that v**4/5 + 262*v**3/5 = 0.
-262, 0
Factor 5*j**3 - 27680*j**2 + 38309120*j.
5*j*(j - 2768)**2
Factor -k**3/6 - 3*k**2/2 + 35*k/3.
-k*(k - 5)*(k + 14)/6
Factor -10*f**2 + 59*f - 22.
-(2*f - 11)*(5*f - 2)
Factor 2*r**3/9 + 32*r**2/9 - 110*r/9 + 76/9.
2*(r - 2)*(r - 1)*(r + 19)/9
Factor -6*h**3/11 - 4212*h**2/11 - 739206*h/11.
-6*h*(h + 351)**2/11
Let 28*g**5 - 342*g**4 + 1062*g**3 - 4*g**2 - 600*g - 144 = 0. Calculate g.
-1/2, -2/7, 1, 6
Find s such that 2*s**3/3 + 40*s**2/9 - 26*s/3 - 112/9 = 0.
-8, -1, 7/3
Determine k so that -k**4 - 229*k**3 - 681*k**2 - 679*k - 226 = 0.
-226, -1
Factor h**2 + 58*h - 923.
(h - 13)*(h + 71)
Factor -m**4/5 - 2*m**3 - 9*m**2/5 + 52*m/5 - 32/5.
-(m - 1)**2*(m + 4)*(m + 8)/5
Let -y**5/2 - 122*y**4 + 1251*y**3/2 + 747*y**2 = 0. What is y?
-249, -1, 0, 6
Determine d so that -d**2 + 61*d - 174 = 0.
3, 58
Factor -l**2 + 27*l + 28.
-(l - 28)*(l + 1)
Factor 3*k**3 + 165*k**2 + 2001*k - 7569.
3*(k - 3)*(k + 29)**2
Suppose o**5/5 + 9*o**4/5 + 23*o**3/5 + 3*o**2 = 0. What is o?
-5, -3, -1, 0
Factor -s**2/3 - 13*s/3 + 14/3.
-(s - 1)*(s + 14)/3
Suppose 5*x**2 + 75*x + 70 = 0. What is x?
-14, -1
Let 4*l**2 + 2468*l + 2464 = 0. Calculate l.
-616, -1
Factor -2*d**3 + 14*d**2 + 80*d + 88.
-2*(d - 11)*(d + 2)**2
Let m**3/4 + 21*m**2/4 - 11*m/2 = 0. Calculate m.
-22, 0, 1
What is s in 2*s**3 - 70*s**2 + 646*s - 578 = 0?
1, 17
Let d**4/10 - 109*d**3/10 + 1512*d**2/5 - 1458*d/5 = 0. What is d?
0, 1, 54
Find j, given that -2*j**3/3 + 944*j**2/3 - 108506*j/3 - 228484 = 0.
-6, 239
Find n, given that 2*n**5 - 252*n**4 + 7932*n**3 + 760*n**2 - 24318*n + 15876 = 0.
-2, 1, 63
Determine v, given that -2*v**5/5 + 16*v**4/5 - 38*v**3/5 + 16*v**2/5 + 8*v - 32/5 = 0.
-1, 1, 2, 4
Factor 5*u**4 - 220*u**3 + 745*u**2 + 2170*u + 1200.
5*(u - 40)*(u - 6)*(u + 1)**2
Solve b**5/9 - 2*b**4/3 + 5*b**3/9 + 16*b**2/9 - 4*b/3 - 16/9 = 0 for b.
-1, 2, 4
Factor -j**3/8 + 23*j**2/8 + 3*j.
-j*(j - 24)*(j + 1)/8
Solve -2*j**4/5 + 2*j**3/5 + 4*j**2/5 = 0.
-1, 0, 2
Determine b so tha