w**2/5 + 33*w/5 + 18.
3*(w + 5)*(w + 6)/5
Factor 2*i**3/7 - 8*i**2/7 - 38*i/7 - 4.
2*(i - 7)*(i + 1)*(i + 2)/7
Find s such that 130*s**2 - 784*s + 24 = 0.
2/65, 6
Factor -85*a**2 + 335*a + 20.
-5*(a - 4)*(17*a + 1)
Suppose 4*n**4 + 52*n**3 + 192*n**2 + 272*n + 128 = 0. What is n?
-8, -2, -1
Factor 3*x**2 + 51*x + 210.
3*(x + 7)*(x + 10)
Factor -3*c**3 + 63*c**2 - 60*c.
-3*c*(c - 20)*(c - 1)
Find n such that 5*n**4 + 40*n**3 + 15*n**2 - 160*n - 140 = 0.
-7, -2, -1, 2
Determine s so that 2*s**3 - 21*s**2/2 + 7*s + 12 = 0.
-3/4, 2, 4
Determine v, given that 4*v**3 - 124*v**2 + 1020*v - 900 = 0.
1, 15
Factor 4*u**3 - 244*u**2 + 2584*u - 4224.
4*(u - 48)*(u - 11)*(u - 2)
Find x such that -15*x**4 + 2301*x**3 - 87543*x**2 - 54285*x + 35574 = 0.
-1, 2/5, 77
Factor 5*c**4 + 15*c**3 + 5*c**2 - 15*c - 10.
5*(c - 1)*(c + 1)**2*(c + 2)
Suppose 5*r**3 - 118*r**2/3 + 224*r/3 + 32/3 = 0. What is r?
-2/15, 4
Suppose -2*a**2/3 - 260*a/3 + 176 = 0. What is a?
-132, 2
Factor 100*f**2 - 440*f + 484.
4*(5*f - 11)**2
Find q, given that 8*q**3/15 + 254*q**2/15 + 62*q/5 = 0.
-31, -3/4, 0
What is v in 351*v**4 + 1317*v**3/2 + 771*v**2/2 + 84*v + 6 = 0?
-1, -1/2, -2/9, -2/13
Let -3*x**3/8 - 165*x**2/8 - 96*x - 225/2 = 0. Calculate x.
-50, -3, -2
Find l, given that -l**2/2 + 41*l/2 = 0.
0, 41
Factor 10*a**4 - 35*a**3 + 35*a**2 - 10*a.
5*a*(a - 2)*(a - 1)*(2*a - 1)
Suppose 3*u**5 + 183*u**4 + 2895*u**3 + 6945*u**2 - 2898*u - 7128 = 0. What is u?
-36, -22, -3, -1, 1
Factor -l**4/3 + 10*l**3 - 51*l**2 - 1156*l/3.
-l*(l - 17)**2*(l + 4)/3
What is p in p**2/5 + 256*p/5 - 1572/5 = 0?
-262, 6
Suppose 10*n**3 + 77*n**2/2 - 7*n - 4 = 0. Calculate n.
-4, -1/4, 2/5
Factor 4*o**2 - 136*o + 1156.
4*(o - 17)**2
Factor -2*c**5/3 - 4*c**4 - 26*c**3/3 - 8*c**2 - 8*c/3.
-2*c*(c + 1)**2*(c + 2)**2/3
Let 2*n**3/17 - 214*n**2/17 + 420*n/17 = 0. Calculate n.
0, 2, 105
Solve 25*v**4 - 9135*v**3 + 110450*v**2 - 360420*v + 127080 = 0 for v.
2/5, 6, 353
Let 2*y**3 - 18*y**2 + 30*y - 14 = 0. What is y?
1, 7
Factor u**4/4 + 5*u**3/4 + u**2.
u**2*(u + 1)*(u + 4)/4
Find a, given that a**5 - 6*a**4 - 40*a**3 = 0.
-4, 0, 10
Factor -3*b**3 - 15*b**2 - 21*b - 9.
-3*(b + 1)**2*(b + 3)
Factor x**5 + x**4 - 14*x**3 - 6*x**2 + 45*x - 27.
(x - 3)*(x - 1)**2*(x + 3)**2
Factor -5*k**3 - 55*k**2 - 130*k - 80.
-5*(k + 1)*(k + 2)*(k + 8)
Factor o**2 - 327*o.
o*(o - 327)
Factor b**5/6 - 2*b**4/3 - b**3 + 2*b**2/3 + 5*b/6.
b*(b - 5)*(b - 1)*(b + 1)**2/6
Factor -5*k**3 - 1455*k**2 - 141135*k - 4563365.
-5*(k + 97)**3
Determine n, given that 2*n**2 - 600*n + 45000 = 0.
150
Suppose -3*s**4/7 + 15*s**3/7 - 15*s**2/7 - 15*s/7 + 18/7 = 0. Calculate s.
-1, 1, 2, 3
What is t in -4*t**2 + 80*t + 5684 = 0?
-29, 49
Factor -p**2/4 - 35*p/4 + 343/2.
-(p - 14)*(p + 49)/4
Let 35*x**2 + 190*x + 75 = 0. Calculate x.
-5, -3/7
Factor -2*q**4 + 18*q**3 - 42*q**2 + 38*q - 12.
-2*(q - 6)*(q - 1)**3
Suppose 2*g**4/11 + 1220*g**3/11 - 2*g**2/11 - 1220*g/11 = 0. Calculate g.
-610, -1, 0, 1
Factor 5*r**4 - 2255*r**3 + 2250*r**2.
5*r**2*(r - 450)*(r - 1)
Solve 2*f**3/5 - 134*f**2 = 0 for f.
0, 335
Factor 2*f**3/11 + 112*f**2/11 + 782*f/11 + 672/11.
2*(f + 1)*(f + 7)*(f + 48)/11
Solve 2*m**2 - 15720*m + 30889800 = 0 for m.
3930
Suppose 2*h**2 - 28*h - 1470 = 0. What is h?
-21, 35
Factor w**5 - 7*w**4 - 3*w**3 + 19*w**2 + 14*w.
w*(w - 7)*(w - 2)*(w + 1)**2
Solve -a**4/7 - a**3/7 + 4*a**2/7 + 4*a/7 = 0.
-2, -1, 0, 2
Factor -3*c**3 + 189*c + 486.
-3*(c - 9)*(c + 3)*(c + 6)
Factor -100*v**2 - 1320*v - 4356.
-4*(5*v + 33)**2
Suppose 4*d**3/5 - 12*d/5 + 8/5 = 0. What is d?
-2, 1
Factor 4*p**4 - 620*p**3 + 31824*p**2 - 529984*p - 562432.
4*(p - 52)**3*(p + 1)
What is b in -b**5 + 55*b**4 - 259*b**3 + 457*b**2 - 352*b + 100 = 0?
1, 2, 50
Factor -12375*q**2 - 12355*q + 20.
-5*(q + 1)*(2475*q - 4)
Find r, given that -r**4 + 32*r**3 - 282*r**2 + 616*r + 931 = 0.
-1, 7, 19
Factor 3*t**2/2 + 33*t/2.
3*t*(t + 11)/2
Find x such that -2*x**5/17 - 28*x**4/17 = 0.
-14, 0
Suppose -2*l**4 - 52*l**3 - 224*l**2 - 300*l - 126 = 0. What is l?
-21, -3, -1
Solve -3*l**3 - 30*l**2 + 69*l - 36 = 0.
-12, 1
Find l such that 4*l**5 - 145*l**4 - 116*l**3 + 182*l**2 + 112*l - 37 = 0.
-1, 1/4, 1, 37
Factor 2*q**3/3 - 332*q**2/3 + 1040*q.
2*q*(q - 156)*(q - 10)/3
What is g in g**3/5 - 3*g/5 - 2/5 = 0?
-1, 2
Factor v**3/5 - 27*v**2/5 - 189*v/5 - 297/5.
(v - 33)*(v + 3)**2/5
Determine w, given that 3*w**2 + 150*w + 1287 = 0.
-39, -11
Factor -2*x**4 - 772*x**3 - 76018*x**2 - 291848*x.
-2*x*(x + 4)*(x + 191)**2
Let -c**2/6 - 103*c/3 + 1055/6 = 0. Calculate c.
-211, 5
Find l such that -3*l**4 - 45*l**3 - 171*l**2 + 105*l + 882 = 0.
-7, -3, 2
Factor -118580*s**3 + 1540*s**2 - 5*s.
-5*s*(154*s - 1)**2
Suppose 8*v**4 - 82*v**3 + 156*v**2 + 190*v - 56 = 0. What is v?
-1, 1/4, 4, 7
Let l**4/6 + 391*l**3/6 + 6337*l**2 - 19600*l/3 - 38416/3 = 0. Calculate l.
-196, -1, 2
Factor 2*k**2 + 2256*k + 636192.
2*(k + 564)**2
What is f in 4*f**4 - 148*f**3 + 492*f**2 + 7380*f + 13392 = 0?
-3, 12, 31
Factor -6*h**3/7 + 27*h**2/7 + 99*h/7 + 6.
-3*(h - 7)*(h + 2)*(2*h + 1)/7
Factor 5*f**2/4 - 320*f + 20480.
5*(f - 128)**2/4
Factor -s**3/4 + 174*s**2 - 693*s + 692.
-(s - 692)*(s - 2)**2/4
Factor 3*i**4 + 892*i**3 - 1493*i**2 + 598*i.
i*(i - 1)*(i + 299)*(3*i - 2)
Find l, given that 5*l**5 + 90*l**4 + 505*l**3 + 960*l**2 + 540*l = 0.
-9, -6, -2, -1, 0
Suppose -2*t**4/11 - 8*t**3/11 - 6*t**2/11 = 0. Calculate t.
-3, -1, 0
Factor -5*q**3 + 55*q**2 + 125*q + 65.
-5*(q - 13)*(q + 1)**2
Factor 3*d**4/5 + 96*d**3/5 + 663*d**2/5 - 1734*d/5.
3*d*(d - 2)*(d + 17)**2/5
Factor 109*b**2 + 101*b - 8.
(b + 1)*(109*b - 8)
Solve 3*b**3/5 - 6*b**2/5 - 9*b = 0.
-3, 0, 5
Find n, given that -1029*n**5 + 6027*n**4 - 8778*n**3 + 4812*n**2 - 1128*n + 96 = 0.
2/7, 1, 4
Factor 5*s**2/2 + 755*s/2 + 375.
5*(s + 1)*(s + 150)/2
What is b in 14*b**4/5 - 38*b**3/5 - 96*b**2/5 + 88*b/5 + 32/5 = 0?
-2, -2/7, 1, 4
Let 4*t**3 + 12*t**2 - 4*t - 12 = 0. Calculate t.
-3, -1, 1
Factor -m**2/4 + 26*m - 676.
-(m - 52)**2/4
Solve 2*k**3 + 7446*k**2 + 9240486*k + 3822481042 = 0 for k.
-1241
Factor -m**3/6 + 7*m**2/3 + 16*m/3.
-m*(m - 16)*(m + 2)/6
Solve -9*b**4 + 7*b**3 + 11*b**2 - 7*b - 2 = 0 for b.
-1, -2/9, 1
Solve -4*p**5 - 20*p**4 + 36*p**3 + 68*p**2 - 32*p - 48 = 0.
-6, -1, 1, 2
Solve -2*t**2/9 + 776*t/9 = 0 for t.
0, 388
Factor 2*m**3/7 + 24*m**2/7 - 158*m/7 + 204/7.
2*(m - 3)*(m - 2)*(m + 17)/7
Let -2*m**5/15 - 32*m**4/15 - 182*m**3/15 - 144*m**2/5 - 24*m = 0. Calculate m.
-6, -5, -3, -2, 0
Factor l**2/6 - 671*l/3 + 447/2.
(l - 1341)*(l - 1)/6
Factor -3*k**3/2 + 159*k**2 + 339*k/2 - 963.
-3*(k - 107)*(k - 2)*(k + 3)/2
Factor -2*c**4/11 + 12*c**2/11 - 16*c/11 + 6/11.
-2*(c - 1)**3*(c + 3)/11
What is m in -m**5/3 + 38*m**4/3 - 397*m**3/3 + 228*m**2 - 108*m = 0?
0, 1, 18
Factor -w**2/5 - 3*w/5.
-w*(w + 3)/5
Suppose -2*d**3 - 460*d**2 + 462*d = 0. What is d?
-231, 0, 1
Factor -2*k**4/7 - 2*k**3 + 36*k**2/7.
-2*k**2*(k - 2)*(k + 9)/7
Factor -m**4/6 - 5*m**3/2 + 121*m**2/6 - 35*m/2.
-m*(m - 5)*(m - 1)*(m + 21)/6
Factor 3*s**3 + 126*s**2.
3*s**2*(s + 42)
Factor y**4/7 + 125*y**3/7 - 258*y**2/7 - 500*y/7 + 1016/7.
(y - 2)**2*(y + 2)*(y + 127)/7
Factor -n**2/5 + 13*n/5 + 198/5.
-(n - 22)*(n + 9)/5
Determine k so that -2*k**3/17 + 98*k**2/17 - 172*k/17 - 752/17 = 0.
-2, 4, 47
Suppose 234*i**3 - 232*i**2 - 2*i = 0. What is i?
-1/117, 0, 1
Find b, given that -4*b**3 - 144*b**2 - 464*b + 1536 = 0.
-32, -6, 2
Factor -4*n**4 - 12*n**3 + 528*n**2 - 2624*n + 3840.
-4*(n - 4)**3*(n + 15)
Let s**2/5 + 1376*s/5 + 473344/5 = 0. Calculate s.
-688
Find o, given that 5*o**4 - 10*o**3 - 15*o**2 + 40*o - 20 = 0.
-2, 1, 2
Solve -3*f**3/2 + 29*f**2/4 - 10*f + 17/4 = 0.
1, 17/6
Find c such that 8*c**5 - 10*c**4 - 54*c**3 + 118*c**2 - 74*c + 12 = 0.
-3, 1/4, 1, 2
Find b, given that -40*b**5/3 - 42*b**4 - 109*b**3/3 - 12*b**2 - 4*b/3 = 0.
-2, -1/2, -2/5, -1/4, 0
Determine d so that -1250*d**2/13 - 100*d/13 - 2/13 = 0.
-1/25
Solve -2*m**4 - 70*m**3 - 648*m**2 - 2336*m - 2944 = 0 for m.
-23, -4
Solve -5*a**4/4 - 17*a**3 - 37*a**2/4 + 13*a/2 = 0.
-13, -1, 0, 2/5
Suppose -4*w**5/3 + 2*w**4/3 + 22*w**3/3 + 22*w**2/3 + 2*w = 0. Calculate w.
-1, -1/2, 0, 3
Factor -4*d**2 - 17100*d - 17096.
-4*(d + 1)*(d + 4274)
Suppose 3*u**3 - 309*u**2 + 609*u - 303 = 0. What is u?
1,