*k**4 - 84*k**3 - 64*k**2 + 64*k = 0.
-4, -1, 0, 4/5, 1
Let -5*i**4 - 2*i**3 + 8*i**2 + 2*i - 3 = 0. Calculate i.
-1, 3/5, 1
Factor 2*t**5/15 - 8*t**4/15 + 4*t**3/5 - 8*t**2/15 + 2*t/15.
2*t*(t - 1)**4/15
Let 3*k**2/8 + 3*k + 6 = 0. Calculate k.
-4
What is d in -3*d**4 - 117*d**3 + 12*d**2 + 468*d = 0?
-39, -2, 0, 2
Suppose v**4/5 - 117*v**3/5 - 72*v**2 - 4*v/5 + 96 = 0. Calculate v.
-2, 1, 120
Factor -2*t**2/13 + 68*t/13.
-2*t*(t - 34)/13
Suppose 2*h**5 - 74*h**4 + 210*h**3 - 206*h**2 + 68*h = 0. What is h?
0, 1, 34
Factor -2*g**2/7 + 72*g/7.
-2*g*(g - 36)/7
What is h in h**5/3 - 64*h**4/3 + 462*h**3 - 3528*h**2 + 3087*h = 0?
0, 1, 21
Let -2*s**3 + 8*s**2 - 8*s = 0. Calculate s.
0, 2
Suppose 2*a**3/9 - 2050*a**2/3 + 2101250*a/3 - 2153781250/9 = 0. Calculate a.
1025
Find h such that -6*h**5/5 - 64*h**4 - 414*h**3/5 + 108*h**2/5 + 208*h/5 = 0.
-52, -1, 0, 2/3
Factor 2*k**2/5 + 78*k/5 - 164/5.
2*(k - 2)*(k + 41)/5
What is v in 4*v**4 + 44*v**3 + 132*v**2 + 148*v + 56 = 0?
-7, -2, -1
Factor 4*s**4/9 + 4*s**3 + 32*s**2/9.
4*s**2*(s + 1)*(s + 8)/9
Factor f**2/6 - f/6 - 5.
(f - 6)*(f + 5)/6
What is f in 4*f**3 - 68*f**2 - 4*f + 68 = 0?
-1, 1, 17
Factor 5*w**2 + 170*w + 1200.
5*(w + 10)*(w + 24)
Factor 3*y**2 - 276*y + 1305.
3*(y - 87)*(y - 5)
Factor 4*b**2 - 2272*b + 322624.
4*(b - 284)**2
Factor -3*p**4 - 12*p**3 - 3*p**2 + 18*p.
-3*p*(p - 1)*(p + 2)*(p + 3)
Find c such that 3*c**4 + 144*c**3 - 150*c**2 - 144*c + 147 = 0.
-49, -1, 1
Solve 4*d**2 + 376*d + 1780 = 0 for d.
-89, -5
Factor -r**3/2 + 21*r**2 - 77*r/2 - 60.
-(r - 40)*(r - 3)*(r + 1)/2
Factor s**3 - 17*s**2/4 + 5*s - 1.
(s - 2)**2*(4*s - 1)/4
Determine n, given that n**4/2 + 319*n**3/2 - 641*n**2/2 + 321*n/2 = 0.
-321, 0, 1
Find p such that -98*p**3/9 - 45430*p**2/9 - 25936*p/9 - 3704/9 = 0.
-463, -2/7
Factor 10*i**4 + 2*i**3 - 10*i**2 - 2*i.
2*i*(i - 1)*(i + 1)*(5*i + 1)
Let -4*i**3/5 - 64*i**2/5 - 256*i/5 = 0. Calculate i.
-8, 0
Factor q**2 + 794*q + 157609.
(q + 397)**2
Factor -76*o**4 + 148*o**3 - 68*o**2 - 4*o.
-4*o*(o - 1)**2*(19*o + 1)
Factor w**5/5 - w**4 + 7*w**3/5 - 3*w**2/5.
w**2*(w - 3)*(w - 1)**2/5
Determine x so that -2*x**2/9 - 2*x/9 + 8/3 = 0.
-4, 3
Let -12*k**3 - 128*k**2 + 208*k + 192 = 0. Calculate k.
-12, -2/3, 2
Determine a, given that -a**2/4 - 169*a/4 + 435/2 = 0.
-174, 5
Suppose 64*m**4 - 5920*m**3 + 41028*m**2 - 19408*m + 2380 = 0. Calculate m.
1/4, 7, 85
Factor -7*p**3/4 - 10*p**2 + 3*p.
-p*(p + 6)*(7*p - 2)/4
Determine o, given that -15*o**4 + 1120*o**3 + 375*o**2 = 0.
-1/3, 0, 75
Determine j, given that -2*j**3/9 + 2*j**2/9 + 170*j/9 + 550/9 = 0.
-5, 11
Factor -2*u**3/9 + 2*u**2/3 + 26*u/9 - 10/3.
-2*(u - 5)*(u - 1)*(u + 3)/9
Find g, given that g**2/6 + 6*g = 0.
-36, 0
Factor -2*l**2/9 + 304*l/9 - 11552/9.
-2*(l - 76)**2/9
Let -x**5 + 87*x**4 - 1467*x**3 - 18171*x**2 - 59616*x - 62208 = 0. Calculate x.
-3, 48
Determine c so that -c**2/5 - 17*c/5 + 168/5 = 0.
-24, 7
Let 4*s**5 + 112*s**4 + 236*s**3 - 1552*s**2 + 1200*s = 0. Calculate s.
-25, -6, 0, 1, 2
Factor r**4/2 - r**2/2.
r**2*(r - 1)*(r + 1)/2
Factor -g**2/3 - g.
-g*(g + 3)/3
Suppose 5*x**4 + 95*x**3 + 570*x**2 + 1120*x + 640 = 0. Calculate x.
-8, -2, -1
Factor -15*u**2/4 - 3*u/2.
-3*u*(5*u + 2)/4
Solve -12*r**3 + 32*r**2 + 16*r - 64 = 0.
-4/3, 2
Solve 3*x**5 + 12*x**4 - 33*x**3 + 18*x**2 = 0 for x.
-6, 0, 1
Let -x**5 + 2*x**4 + 16*x**3 - 14*x**2 - 63*x - 36 = 0. What is x?
-3, -1, 3, 4
Suppose -2*u**4/9 + 26*u**3/9 - 28*u**2/3 - 8*u + 48 = 0. What is u?
-2, 3, 6
Let -3*y**3 - 29*y**2/4 + 43*y/2 + 10 = 0. What is y?
-4, -5/12, 2
Let 5*r**5 + 85*r**4 + 525*r**3 + 1375*r**2 + 1250*r = 0. What is r?
-5, -2, 0
Solve -q**2/3 - 1198*q/3 - 358801/3 = 0 for q.
-599
Suppose -4*o**2 + 1092*o + 3312 = 0. Calculate o.
-3, 276
Let -t**5 + 33*t**4 - 25*t**3 - 237*t**2 + 422*t - 192 = 0. What is t?
-3, 1, 2, 32
Factor 4*v**4 - 62*v**3 + 174*v**2 - 72*v.
2*v*(v - 12)*(v - 3)*(2*v - 1)
Suppose -2*n**5/3 + 4*n**4 - 28*n**3/3 + 32*n**2/3 - 6*n + 4/3 = 0. Calculate n.
1, 2
Let -t**4/2 + 38*t**3 - 683*t**2 - 1482*t - 1521/2 = 0. Calculate t.
-1, 39
Factor n**2/4 + 105*n/4 + 153/2.
(n + 3)*(n + 102)/4
Factor 3*q**2 + 1458*q + 177147.
3*(q + 243)**2
Determine j, given that 196*j**3 + 408*j**2 + 228*j + 16 = 0.
-1, -4/49
Factor -x**3/7 + 10*x**2/7 + 4*x/7 - 40/7.
-(x - 10)*(x - 2)*(x + 2)/7
Factor y**3/8 - 11*y**2/4 + 89*y/8 - 17/2.
(y - 17)*(y - 4)*(y - 1)/8
Find n, given that 3*n**2 - 2505*n + 7488 = 0.
3, 832
Find a such that 2*a**3/11 - 6*a**2/11 + 4*a/11 = 0.
0, 1, 2
Determine g so that -g**2/3 - 5*g + 1066/3 = 0.
-41, 26
Determine i, given that i**4/3 + 5*i**3/3 + 7*i**2/3 + i = 0.
-3, -1, 0
Find p, given that -28*p**5 - 64*p**4 + 96*p**3 + 256*p**2 + 64*p = 0.
-2, -2/7, 0, 2
Solve -c**4 - 1433*c**3 - 512655*c**2 + 514089*c = 0.
-717, 0, 1
Let 4*x**4 - 24*x**3 - 48*x**2 + 152*x - 84 = 0. What is x?
-3, 1, 7
Factor 5*k**4/3 - 103*k**3/3 + 226*k**2 - 444*k - 216.
(k - 9)*(k - 6)**2*(5*k + 2)/3
Determine v so that -2*v**2/13 + 362*v/13 - 716/13 = 0.
2, 179
Suppose 2*u**2 + 430*u + 428 = 0. What is u?
-214, -1
Factor 2*u**4/7 - 1182*u**3/7.
2*u**3*(u - 591)/7
Factor -77284*g**2/3 + 556*g/3 - 1/3.
-(278*g - 1)**2/3
What is t in t**2/3 - 3*t - 10/3 = 0?
-1, 10
Find c such that 4*c**4 - 36*c**3 + 80*c**2 = 0.
0, 4, 5
Find b, given that 3*b**4 + 186*b**3 + 183*b**2 = 0.
-61, -1, 0
Factor 2*v**4 + 376*v**3 + 18044*v**2 + 34968*v + 17298.
2*(v + 1)**2*(v + 93)**2
Find h such that -2*h**4/7 - 8*h**3/7 + 2*h**2/7 + 8*h/7 = 0.
-4, -1, 0, 1
Determine s, given that s**2 + 40*s + 400 = 0.
-20
Factor 2*m**3 - 94*m**2 + 950*m + 3750.
2*(m - 25)**2*(m + 3)
Factor l**2/2 - 38*l + 210.
(l - 70)*(l - 6)/2
Factor -4*v**4/15 - 802*v**3/15 - 8080*v**2/3 - 4000*v/3.
-2*v*(v + 100)**2*(2*v + 1)/15
Find o, given that 15*o**5/7 - 24*o**4/7 - 6*o**3/7 + 24*o**2/7 - 9*o/7 = 0.
-1, 0, 3/5, 1
Factor v**4/2 - 81*v**3/2 + 79*v**2/2 + 81*v/2 - 40.
(v - 80)*(v - 1)**2*(v + 1)/2
Factor -2*d**3/9 + 340*d**2/9 + 2816*d/9 + 5696/9.
-2*(d - 178)*(d + 4)**2/9
Factor 3*m**3 - 48*m**2 + 252*m - 432.
3*(m - 6)**2*(m - 4)
Let -4*p**3 + 36*p**2 - 96*p + 64 = 0. What is p?
1, 4
Determine g, given that 20164*g**2/7 - 13632*g/7 + 2304/7 = 0.
24/71
Let -4*h**3 + 60*h**2 - 192*h - 256 = 0. Calculate h.
-1, 8
Suppose 4*n**3 + 380*n**2 + 1472*n + 1456 = 0. Calculate n.
-91, -2
Suppose 5*u**2 - 40*u + 60 = 0. What is u?
2, 6
Find j such that -28*j**5 + 988*j**4 - 8316*j**3 + 9380*j**2 - 2024*j = 0.
0, 2/7, 1, 11, 23
Factor 2*q**2/5 + 26*q/5 + 12.
2*(q + 3)*(q + 10)/5
Find h, given that -35*h**4 + 430*h**3 - 1380*h**2 + 360*h = 0.
0, 2/7, 6
Suppose 32*d**3 - 542*d**2 + 926*d + 60 = 0. Calculate d.
-1/16, 2, 15
Solve -2*b**3/19 + 6*b**2/19 + 18*b/19 - 54/19 = 0 for b.
-3, 3
What is z in -z**2/2 - 3*z - 9/2 = 0?
-3
Factor 3*x**4/7 + 30*x**3/7 + 108*x**2/7 + 162*x/7 + 81/7.
3*(x + 1)*(x + 3)**3/7
Suppose 3*w**5 - 3*w**4/2 - 81*w**3/2 - 33*w**2/2 + 75*w/2 + 18 = 0. Calculate w.
-3, -1, -1/2, 1, 4
What is n in n**4/4 - n**3/4 = 0?
0, 1
Determine g, given that 4*g**4 - 112*g**3 + 872*g**2 - 1040*g - 2028 = 0.
-1, 3, 13
Factor y**2/5 - 37*y/5 - 38/5.
(y - 38)*(y + 1)/5
Factor -12*p**3 + 81*p**2.
-3*p**2*(4*p - 27)
Find g, given that -4*g**4 - 9860*g**3 - 8098344*g**2 - 2213540784*g + 2221648992 = 0.
-822, 1
Factor 3*f**4 - 21*f**3 + 6*f**2 + 120*f.
3*f*(f - 5)*(f - 4)*(f + 2)
Factor -4*u**2/5 - 40*u.
-4*u*(u + 50)/5
Find w such that -7*w**2 + 2448*w + 700 = 0.
-2/7, 350
Factor -2*f**4 - 182*f**3 - 4044*f**2 + 4600*f + 8464.
-2*(f - 2)*(f + 1)*(f + 46)**2
Factor -2*s**4 - 2796*s**3 - 1300128*s**2 - 199769524*s + 611085378.
-2*(s - 3)*(s + 467)**3
Solve -5*i**4 - 40*i**3 - 30*i**2 + 40*i + 35 = 0.
-7, -1, 1
Factor 3*g**4 - 11*g**3 + 37*g**2/3 - 5*g + 2/3.
(g - 2)*(g - 1)*(3*g - 1)**2/3
Factor -2*v**2 - 5052*v + 5054.
-2*(v - 1)*(v + 2527)
Factor -4*m**3 + 24*m**2 - 32*m.
-4*m*(m - 4)*(m - 2)
Factor -3*b**4 - 159*b**3.
-3*b**3*(b + 53)
Suppose 2*k**3/19 + 204*k**2/19 + 198*k/19 - 404/19 = 0. What is k?
-101, -2, 1
Let -z**2/4 - 99*z - 9801 = 0. Calculate z.
-198
Suppose 2*f**2/9 - 28*f + 1888/9 = 0. Calculate f.
8, 118
Factor -2*q**2/3 - 6*q + 20/3.
-2*(q - 1)*(q + 10)/3
Factor 2*n**3/5 - 288*n**2/5 + 114*n - 284/5.
2*(n - 142)*(n - 1)**2/5
Factor -10*m**2 - 2404*m - 960.
-2*(m + 240)