/2 - 41*l + 16.
(l - 16)*(l - 2)*(l - 1)**2/2
Let -3*v**3 - 134*v**2 - 353*v/4 - 11 = 0. Calculate v.
-44, -1/2, -1/6
Suppose -5*d**4 - 10*d**3 + 5*d**2 + 10*d = 0. Calculate d.
-2, -1, 0, 1
Determine h, given that h**4/5 - h**3 - h**2/5 + h = 0.
-1, 0, 1, 5
Factor -5*w**3 - 45*w**2 + 380*w + 420.
-5*(w - 6)*(w + 1)*(w + 14)
Find b, given that -6*b**3 + 51*b**2 + 6*b - 240 = 0.
-2, 5/2, 8
Determine l, given that 81*l**2/8 + 39*l/4 - 3/8 = 0.
-1, 1/27
Determine n, given that -9*n**5 - 15*n**4/2 + 99*n**3/2 - 63*n**2/2 - 21*n/2 + 9 = 0.
-3, -1/2, 2/3, 1
Determine w, given that -4*w**3 + 436*w**2 + 884*w + 444 = 0.
-1, 111
Determine f so that 4*f**3 - 192*f**2 - 400*f = 0.
-2, 0, 50
Determine z so that 3*z**4 - 30*z**3 + 96*z**2 - 114*z + 45 = 0.
1, 3, 5
Factor 2*v**2/3 + 8*v + 18.
2*(v + 3)*(v + 9)/3
What is n in -2*n**4/5 + 24*n**3/5 - 34*n**2/5 - 12*n = 0?
-1, 0, 3, 10
Factor -2*s**2/9 + 19*s/9 - 10/3.
-(s - 2)*(2*s - 15)/9
Let -2*y**5/19 + 88*y**4/19 - 86*y**3/19 = 0. What is y?
0, 1, 43
Determine s, given that -2*s**4/11 - 24*s**3/11 - 98*s**2/11 - 156*s/11 - 80/11 = 0.
-5, -4, -2, -1
Factor r**2 + 370*r + 34225.
(r + 185)**2
Determine f, given that 3*f**5 + 19*f**4 + 37*f**3 + 17*f**2 - 16*f - 12 = 0.
-3, -2, -1, 2/3
Factor 2*c**3/9 - 76*c**2/9 + 952*c/9 - 3920/9.
2*(c - 14)**2*(c - 10)/9
Factor -289*r**2/6 + 34*r/3 - 2/3.
-(17*r - 2)**2/6
Let -2*h**4/5 + 36*h**3/5 - 144*h**2/5 + 188*h/5 - 78/5 = 0. Calculate h.
1, 3, 13
Factor -z**3/5 - 62*z**2/5 - 179*z/5 - 118/5.
-(z + 1)*(z + 2)*(z + 59)/5
Determine u, given that 2*u**3 - 12*u**2 = 0.
0, 6
Factor x**4 - 54*x**3 + 781*x**2 - 1404*x + 676.
(x - 26)**2*(x - 1)**2
Let -q**3 - 8*q**2 + 4*q + 32 = 0. What is q?
-8, -2, 2
Find z such that -324*z**5 + 2988*z**4 - 5512*z**3 + 3384*z**2 - 564*z + 28 = 0.
1/9, 1, 7
Let -2*f**3 + 16*f**2 + 70*f - 588 = 0. What is f?
-6, 7
Determine o so that 3*o**2 - 87*o = 0.
0, 29
Find d such that d**3/6 - 11*d**2/6 - 25*d/6 - 13/6 = 0.
-1, 13
Factor 4*t**3 - 292*t**2/5 - 88*t - 128/5.
4*(t - 16)*(t + 1)*(5*t + 2)/5
Solve s**3 + 1672*s**2/5 + 140113*s/5 + 55778/5 = 0 for s.
-167, -2/5
Factor r**2 + 188*r + 8836.
(r + 94)**2
Factor 2*o**2/3 + 28*o/3.
2*o*(o + 14)/3
Factor 2*s**3/23 - 18*s**2/23 - 42*s/23 - 22/23.
2*(s - 11)*(s + 1)**2/23
What is a in -a**3/2 + 9*a**2 + 63*a/2 = 0?
-3, 0, 21
Factor 4*q**4 - 8*q**3 - 172*q**2 - 160*q.
4*q*(q - 8)*(q + 1)*(q + 5)
Factor 3*m**3 + 480*m**2 + 3621*m - 4104.
3*(m - 1)*(m + 9)*(m + 152)
Suppose u**4/4 - 15*u**3/4 + 7*u**2/2 = 0. What is u?
0, 1, 14
Determine i so that -i**5/7 + 108*i**4/7 + 1026*i**3/7 + 3132*i**2/7 + 3159*i/7 = 0.
-3, 0, 117
Factor 21*s**2 + 34*s.
s*(21*s + 34)
Factor -x**3/4 - 12*x**2 - 693*x/4 - 1573/2.
-(x + 11)**2*(x + 26)/4
Factor -2*u**5/5 - 8*u**4/5 - 6*u**3/5.
-2*u**3*(u + 1)*(u + 3)/5
Factor -2*r**2/15 - 34*r/15 - 32/15.
-2*(r + 1)*(r + 16)/15
Factor o**4/12 + 10*o**3/3 + 50*o**2 + 1000*o/3 + 2500/3.
(o + 10)**4/12
Solve -3*k**4 - 84*k**3 - 588*k**2 = 0.
-14, 0
Let 4*z**3 - 168*z**2 + 900*z - 1296 = 0. What is z?
3, 36
Factor 3*m**2/7 - 6*m + 120/7.
3*(m - 10)*(m - 4)/7
Find c, given that -3*c**4 + 492*c**3 - 477*c**2 - 1968*c + 1956 = 0.
-2, 1, 2, 163
Factor -4*b**5 - 12*b**4 - 12*b**3 - 4*b**2.
-4*b**2*(b + 1)**3
Let -a**3/2 + 9*a**2/2 + 11*a = 0. Calculate a.
-2, 0, 11
What is z in z**5 - 17*z**4 + 80*z**3 - 64*z**2 = 0?
0, 1, 8
Factor 5*t**4 - 235*t**3 + 455*t**2 - 225*t.
5*t*(t - 45)*(t - 1)**2
Solve a**3/3 + 7*a**2/3 - 10*a/3 - 16/3 = 0.
-8, -1, 2
Determine v so that 3*v**5 - 108*v**4 + 579*v**3 - 1206*v**2 + 1092*v - 360 = 0.
1, 2, 30
Let 2*o**2/13 + 20*o/13 - 22/13 = 0. Calculate o.
-11, 1
What is z in -2*z**4/5 - 128*z**3/5 - 1914*z**2/5 + 4356*z/5 = 0?
-33, 0, 2
Let m**3/2 - 17*m**2/2 + 31*m/2 - 15/2 = 0. Calculate m.
1, 15
Factor -2*v**5/5 + 12*v**3/5 + 16*v**2/5 + 6*v/5.
-2*v*(v - 3)*(v + 1)**3/5
Factor i**2/2 + 137*i - 556.
(i - 4)*(i + 278)/2
Find w, given that 3*w**5/2 + 45*w**4/8 + 9*w**3/2 - 3*w**2/2 = 0.
-2, 0, 1/4
Factor 3*s**3/7 - 15*s**2/7 - 66*s/7 - 48/7.
3*(s - 8)*(s + 1)*(s + 2)/7
Factor -2*a**2/15 + 724*a/15.
-2*a*(a - 362)/15
Determine t, given that t**2/3 + 5194*t/3 + 6744409/3 = 0.
-2597
Suppose -v**4/5 - 5*v**3 - 189*v**2/5 - 243*v/5 + 1458/5 = 0. What is v?
-9, 2
Determine m, given that -6*m**5 - 272*m**4/5 + 6*m**3/5 + 224*m**2/5 + 72*m/5 = 0.
-9, -2/3, -2/5, 0, 1
Determine h so that -5*h**5/3 + 385*h**4 - 66100*h**3/3 - 71900*h**2/3 + 88160*h + 269120/3 = 0.
-2, -1, 2, 116
Factor -f**2/5 - 1202*f/5 + 723.
-(f - 3)*(f + 1205)/5
Factor i**3 - 3*i - 2.
(i - 2)*(i + 1)**2
Factor -n**2/3 + 1244*n - 1160652.
-(n - 1866)**2/3
Find y such that -169*y**3 - 336*y**2 + 4*y = 0.
-2, 0, 2/169
Find f, given that 162*f**2 - 36*f + 2 = 0.
1/9
Determine y so that -3*y**4 + 102*y**3 - 963*y**2 + 1632*y - 768 = 0.
1, 16
Let k**2/3 - 9*k + 26/3 = 0. Calculate k.
1, 26
Factor 2*l**3/13 - 302*l**2/13 + 11248*l/13 + 11552/13.
2*(l - 76)**2*(l + 1)/13
Determine b so that 3*b**2 + 36*b + 96 = 0.
-8, -4
Solve 2*r**2/7 - 8/7 = 0 for r.
-2, 2
Determine s so that -2*s**4/11 - 18*s**3/11 + 46*s**2/11 + 18*s/11 - 4 = 0.
-11, -1, 1, 2
Find k such that 2*k**2 + 118*k - 780 = 0.
-65, 6
Find o, given that 3*o**2/7 - 1572*o/7 + 205932/7 = 0.
262
Factor -2*n**2/7 - 3034*n/7.
-2*n*(n + 1517)/7
Factor 5*t**2 - 1370*t + 93845.
5*(t - 137)**2
Solve r**3/9 + 10*r**2/9 + 8*r/3 = 0 for r.
-6, -4, 0
Suppose -w**3/3 - 8*w**2 + w/3 + 8 = 0. Calculate w.
-24, -1, 1
Determine s so that -2*s**4/3 - 56*s**3/5 - 286*s**2/5 - 1484*s/15 - 48 = 0.
-9, -5, -2, -4/5
Factor 28*r**2 - 9148*r - 2616.
4*(r - 327)*(7*r + 2)
Factor 2*a**2 - 48*a + 46.
2*(a - 23)*(a - 1)
What is v in -v**5/4 + 5*v**4/2 - 27*v**3/4 + 9*v**2/2 = 0?
0, 1, 3, 6
Suppose -12*w**3 + 1203*w**2 - 2652*w + 588 = 0. Calculate w.
1/4, 2, 98
Suppose 25*k**5 - 155*k**4 - 386*k**3 + 172*k**2 + 280*k + 64 = 0. What is k?
-2, -2/5, 1, 8
Factor -2*v**4/13 + 8*v**3/13 + 10*v**2/13.
-2*v**2*(v - 5)*(v + 1)/13
Determine q so that -q**3/6 + 3*q**2 - 22*q/3 - 28 = 0.
-2, 6, 14
Factor 14*w**4 - 24*w**3 - 64*w**2 + 96*w + 32.
2*(w - 2)**2*(w + 2)*(7*w + 2)
Solve y**5/2 + 3*y**4/2 - 11*y**3/2 - 27*y**2/2 + 5*y + 12 = 0 for y.
-4, -2, -1, 1, 3
Suppose -2*p**2 - 3840*p - 3838 = 0. What is p?
-1919, -1
Factor 34*g**3 + 30*g**2 - 72*g + 8.
2*(g - 1)*(g + 2)*(17*g - 2)
Suppose 3*t**3/5 - 87*t**2/5 + 672*t/5 - 588/5 = 0. What is t?
1, 14
Factor -d**3 - 178*d**2 + 179*d.
-d*(d - 1)*(d + 179)
Let -3*n**2/2 + 36*n - 69/2 = 0. What is n?
1, 23
Factor -2*b**3/11 - 64*b**2/11 - 512*b/11.
-2*b*(b + 16)**2/11
Determine t, given that t**2/5 - 9*t/5 - 22/5 = 0.
-2, 11
Determine w so that w**3/3 - w**2/2 - w/2 + 1/3 = 0.
-1, 1/2, 2
Let 4*p**3 + 1208*p**2 + 88740*p - 374544 = 0. Calculate p.
-153, 4
Solve 5*g**2 + 35*g + 50 = 0.
-5, -2
Factor 5*m**4 + 25*m**3 - 15*m**2 - 85*m - 50.
5*(m - 2)*(m + 1)**2*(m + 5)
Let 4*j**4 + 60*j**3 - 132*j**2 - 1148*j - 960 = 0. Calculate j.
-16, -3, -1, 5
Factor -c**2 + 12*c - 27.
-(c - 9)*(c - 3)
Solve c**3 - c**2 - c + 1 = 0 for c.
-1, 1
Factor -3*z**2 + 8814*z - 8811.
-3*(z - 2937)*(z - 1)
Solve -16*k**4 + 280*k**3 + 447*k**2 + 170*k + 19 = 0 for k.
-1, -1/4, 19
Factor 6*g**3 + 3*g**2 - 6*g - 3.
3*(g - 1)*(g + 1)*(2*g + 1)
Determine g so that 2*g**5/13 - 20*g**4/13 + 50*g**3/13 + 40*g**2/13 - 160*g/13 - 128/13 = 0.
-1, 4
Factor 3*x**3/4 + 27*x**2/4 - 171*x/4 - 195/4.
3*(x - 5)*(x + 1)*(x + 13)/4
Solve -12*x**5 - 1376*x**4 + 3253*x**3 - 2683*x**2 + 935*x - 117 = 0 for x.
-117, 1/3, 1/2, 1
Factor -30*m**3/11 + 3084*m**2/11 + 6258*m/11 + 3144/11.
-6*(m + 1)**2*(5*m - 524)/11
Find s, given that 3*s**3 - 5838*s**2 + 2840187*s = 0.
0, 973
Determine s so that 2*s**4 + 22*s**3 - 2*s**2 - 22*s = 0.
-11, -1, 0, 1
What is d in -2*d**4/19 + 20*d**3/19 + 600*d**2/19 + 3500*d/19 + 6250/19 = 0?
-5, 25
Solve 84*j**4 + 498*j**3 + 2156*j**2/3 - 62*j - 12 = 0 for j.
-3, -2/21, 1/6
Let o**5/2 + 39*o**4 + 184*o**3 + 107*o**2 - 369*o/2 - 146 = 0. Calculate o.
-73, -4, -1, 1
Factor -2*v**2/3 + 26*v/3 - 24.
-2*(v - 9)*(v - 4)/3
Find j such that 4*j**4 + 124*j**3 + 1172*j**2 + 2756*j - 4056 = 0.
-13, -6, 1
Let -9*k**4 + 546*k**3 - 10932*k**2 + 71022*k + 24909 = 0. What is k?
-1/3, 19, 23
What is h in h**4/5 - 42*h**3/5 + 108*h**2 - 270*h - 2025 = 0?
-3, 15
Factor w**2/3