Solve 2*j**3/3 - 7*j**2/3 + 8*j/3 - 1 = 0.
1, 3/2
Let -2*p**2 + 50*p + 988 = 0. Calculate p.
-13, 38
Factor 4*l**4 - 68*l**3 + 252*l**2 + 980*l - 5488.
4*(l - 7)**3*(l + 4)
Suppose 5*f**5 + 60*f**4 + 175*f**3 + 120*f**2 = 0. Calculate f.
-8, -3, -1, 0
Determine o, given that 3*o**2 - 81*o - 84 = 0.
-1, 28
What is r in -r**3/10 - 11*r**2/2 - 527*r/10 + 6727/10 = 0?
-31, 7
Factor 8*o**2/5 + 68*o + 168/5.
4*(o + 42)*(2*o + 1)/5
Solve 15*w**2/2 + 115*w + 75/2 = 0.
-15, -1/3
Factor -y**2/4 - 57*y - 3249.
-(y + 114)**2/4
Suppose -m**2/2 - 39*m - 1521/2 = 0. Calculate m.
-39
Factor -3*i**3/4 + 15*i**2/4 - 9*i/2.
-3*i*(i - 3)*(i - 2)/4
Factor -y**5/7 + 4*y**4/7 + 59*y**3/7 + 178*y**2/7 + 212*y/7 + 88/7.
-(y - 11)*(y + 1)*(y + 2)**3/7
Solve -v**2/3 - 89*v/3 - 88/3 = 0.
-88, -1
Factor -5*p**4 + 110*p**3 + 125*p**2 - 230*p.
-5*p*(p - 23)*(p - 1)*(p + 2)
Find i such that -i**3 - i**2 + i + 1 = 0.
-1, 1
Find t such that 2*t**3/5 - 132*t**2/5 - 1152*t/5 - 2368/5 = 0.
-4, 74
Factor -2*l**3/7 - 46*l**2/7 - 158*l/7 - 114/7.
-2*(l + 1)*(l + 3)*(l + 19)/7
Factor l**2 + 49*l + 220.
(l + 5)*(l + 44)
Find v such that -560*v**4 + 7880*v**3 - 28795*v**2 + 12955*v - 1560 = 0.
1/4, 39/7, 8
Solve -25*t**2 + 98*t + 8 = 0.
-2/25, 4
Determine d so that 3*d**4/7 - d**3/7 - 9*d**2/7 + 9*d/7 - 2/7 = 0.
-2, 1/3, 1
Factor -4*n**2 - 220*n + 1736.
-4*(n - 7)*(n + 62)
Factor 2*w**4 + 112*w**3 + 110*w**2.
2*w**2*(w + 1)*(w + 55)
Determine g so that -5*g**4 + 5*g**2 = 0.
-1, 0, 1
Determine c, given that c**4/4 - 13*c**3/4 - 75*c**2/4 + 109*c/4 + 85/2 = 0.
-5, -1, 2, 17
Factor -g**2/2 + 422*g - 89042.
-(g - 422)**2/2
Factor -3*z**3/4 - 15*z**2/2 + 18*z.
-3*z*(z - 2)*(z + 12)/4
Solve 4*u**4 + 52*u**3 + 48*u**2 = 0 for u.
-12, -1, 0
Determine n so that -4*n**2/7 - 20*n/7 - 16/7 = 0.
-4, -1
Find i such that -8*i**4/3 + 262*i**3/3 - 2438*i**2/3 + 2624*i - 1896 = 0.
1, 6, 79/4
Factor -5*s**4 + 95*s**3 + 125*s**2 - 515*s + 300.
-5*(s - 20)*(s - 1)**2*(s + 3)
Solve o**3/6 - 11*o**2/2 + 119*o/6 - 29/2 = 0.
1, 3, 29
Factor -35*h**2/6 + 125*h/6 + 10.
-5*(h - 4)*(7*h + 3)/6
Find t, given that -2*t**2 + 2512*t - 788768 = 0.
628
Factor 2*l**5/9 - 116*l**4/9 + 1562*l**3/9 + 1160*l**2/3 + 200*l.
2*l*(l - 30)**2*(l + 1)**2/9
Solve -2312*i**2 - 408*i - 18 = 0.
-3/34
Factor -2*b**2 - 132*b.
-2*b*(b + 66)
Solve -3*v**3/7 - 60*v**2/7 + 993*v/7 - 930/7 = 0 for v.
-31, 1, 10
Determine z, given that 2*z**5/9 - 10*z**4/9 - 2*z**3/9 + 10*z**2/9 = 0.
-1, 0, 1, 5
Determine x so that -x**2/3 - 5*x/3 + 14/3 = 0.
-7, 2
Factor 7*a**3 + 20*a**2 - 9*a - 18.
(a - 1)*(a + 3)*(7*a + 6)
Suppose 3*b**2 - 45*b + 78 = 0. Calculate b.
2, 13
Solve 4*r**4 - 128*r**3 + 1320*r**2 - 4576*r + 3380 = 0.
1, 5, 13
Find f, given that -5*f**4 + 215*f**3 + 1200*f**2 = 0.
-5, 0, 48
Solve -2*f**2 + 6*f - 4 = 0 for f.
1, 2
Factor -m**2/5 - m/5 + 12/5.
-(m - 3)*(m + 4)/5
Find v, given that 22*v**4/9 - 2*v**3 - 16*v**2/3 - 8*v/9 = 0.
-1, -2/11, 0, 2
Determine z so that 2*z**4/13 + 266*z**3/13 + 11062*z**2/13 + 133870*z/13 - 145200/13 = 0.
-55, -24, 1
Determine r so that 4*r**4/17 - 42*r**3/17 + 132*r**2/17 - 152*r/17 + 48/17 = 0.
1/2, 2, 6
Factor -2*c**4/3 + 4*c**2/3 - 2/3.
-2*(c - 1)**2*(c + 1)**2/3
Factor 60*o**2 + 136*o.
4*o*(15*o + 34)
Solve 3*k**4 + 21*k**3 - 219*k**2 + 195*k = 0.
-13, 0, 1, 5
Factor 2*n**2/7 - 576*n/7 + 41472/7.
2*(n - 144)**2/7
Factor 2*j**2/13 + 744*j/13 - 746/13.
2*(j - 1)*(j + 373)/13
Determine r, given that 5*r**5/3 - 17*r**4/3 - 13*r**3 + 133*r**2/3 - 106*r/3 + 8 = 0.
-3, 2/5, 1, 4
What is j in -2*j**2 + 50 = 0?
-5, 5
Factor -2*t**3 + 6*t**2 - 4*t.
-2*t*(t - 2)*(t - 1)
Factor -n**3/5 + 47*n**2/5 - 115*n + 529/5.
-(n - 23)**2*(n - 1)/5
Let -10*g**5/17 + 62*g**4/17 - 52*g**3/17 - 52*g**2/17 + 62*g/17 - 10/17 = 0. Calculate g.
-1, 1/5, 1, 5
Factor -3*d**4 - 12*d**3 + 33*d**2 - 18*d.
-3*d*(d - 1)**2*(d + 6)
Let 4*g**5/3 - 16*g**4/3 + 16*g**3/3 + 8*g**2/3 - 20*g/3 + 8/3 = 0. What is g?
-1, 1, 2
Factor 3*p**2 - 177*p.
3*p*(p - 59)
Suppose 5*b**4 + 50*b**3 + 65*b**2 - 300*b + 180 = 0. What is b?
-6, 1
Factor 9248*c**5/3 + 9520*c**4/3 + 274*c**3/3 + 2*c**2/3.
2*c**2*(c + 1)*(68*c + 1)**2/3
Let 21*v**3 - 30*v**2 - 33*v + 18 = 0. What is v?
-1, 3/7, 2
Determine g, given that -2*g**4/7 - 19*g**3/7 - 48*g**2/7 - 11*g/7 + 20/7 = 0.
-5, -4, -1, 1/2
Find j, given that j**4 - j**3 - 12*j**2 = 0.
-3, 0, 4
Determine m, given that 2*m**5 - 17*m**4/2 + 12*m**3 - 13*m**2/2 + m = 0.
0, 1/4, 1, 2
Solve g**5 + 51*g**4/7 - 16*g**3 - 36*g**2/7 = 0.
-9, -2/7, 0, 2
Suppose -d**3/4 - 3*d**2/4 + 9*d/4 - 5/4 = 0. Calculate d.
-5, 1
Let -2*s**4/3 + 50*s**3 + 308*s**2/3 = 0. What is s?
-2, 0, 77
Factor 3*m**3/4 - 9*m**2 + 15*m.
3*m*(m - 10)*(m - 2)/4
Determine r, given that -3*r**4/4 - 33*r**3/4 + 3*r**2/4 + 33*r/4 = 0.
-11, -1, 0, 1
Factor -2*l**2/11 + 8*l - 88.
-2*(l - 22)**2/11
Let x**4/4 - 3*x**3/4 - x**2/4 + 3*x/4 = 0. Calculate x.
-1, 0, 1, 3
Solve -2*r**4 + 42*r**3 - 108*r**2 = 0 for r.
0, 3, 18
Let -2*j**4/3 - 95*j**3/6 + 14*j**2/3 + 95*j/6 - 4 = 0. Calculate j.
-24, -1, 1/4, 1
Factor 7*l**3 - 10*l**2 - 29*l - 12.
(l - 3)*(l + 1)*(7*l + 4)
Let -4*l**3 + 204*l**2 - 936*l + 736 = 0. What is l?
1, 4, 46
Factor -n**3/6 - 135*n**2/2 - 18225*n/2 - 820125/2.
-(n + 135)**3/6
What is y in -4*y**2 = 0?
0
Let -2*h**3 - 2*h**2 + 32*h + 32 = 0. Calculate h.
-4, -1, 4
Factor -5*p**2 - 110*p + 3315.
-5*(p - 17)*(p + 39)
Factor -a**2/3 - 505*a + 3034/3.
-(a - 2)*(a + 1517)/3
Factor -w**2/3 + 402*w - 121203.
-(w - 603)**2/3
Determine r, given that 3*r**4 + 237*r**3 + 4554*r**2 - 5280*r - 9600 = 0.
-40, -1, 2
Determine z, given that z**4/6 + z**3 + 11*z**2/6 + z = 0.
-3, -2, -1, 0
Let -5*p**3 + 4595*p**2 + 13820*p + 9220 = 0. Calculate p.
-2, -1, 922
Suppose 2*v**2/7 - 3296*v/7 + 1357952/7 = 0. Calculate v.
824
Factor 5*o**3 - 10*o**2.
5*o**2*(o - 2)
Suppose 5*p**2 - 3260*p + 531380 = 0. What is p?
326
Suppose 32*k**4/3 + 1664*k**3 + 4966*k**2/3 + 310*k = 0. What is k?
-155, -3/4, -1/4, 0
Factor -4*m**4 + 16*m**3 + 4*m**2 - 16*m.
-4*m*(m - 4)*(m - 1)*(m + 1)
Factor -5*q**3 + 70*q**2 - 220*q + 200.
-5*(q - 10)*(q - 2)**2
Find c, given that -2*c**5/3 + 62*c**4 - 364*c**3/3 - 4*c**2/3 + 122*c - 182/3 = 0.
-1, 1, 91
Suppose l**3/4 + 25*l**2/4 - 53*l/4 + 27/4 = 0. Calculate l.
-27, 1
Find l, given that 24*l**2 + 572*l + 460 = 0.
-23, -5/6
Determine n so that n**2/4 + 192*n + 36864 = 0.
-384
Determine a so that -5*a**3 + 510*a**2 - 1005*a + 500 = 0.
1, 100
What is r in 3*r**2/2 + 45*r/2 - 114 = 0?
-19, 4
Factor -3*z**2 - 663*z + 666.
-3*(z - 1)*(z + 222)
Find z, given that -5*z**4/3 + 5*z**3/3 + 5*z**2/3 - 5*z/3 = 0.
-1, 0, 1
Factor -4*t**4 + 72*t**3 - 324*t**2 + 448*t - 192.
-4*(t - 12)*(t - 4)*(t - 1)**2
Determine n so that 4*n**3 - 112*n**2 + 784*n = 0.
0, 14
Suppose -g**3/10 + g**2 + 3*g/10 - 54/5 = 0. Calculate g.
-3, 4, 9
Solve 2*z**4 + 6*z**3 - 30*z**2 + 34*z - 12 = 0.
-6, 1
Suppose -2*j**2/5 - 12*j/5 - 16/5 = 0. What is j?
-4, -2
Find y, given that y**5/6 - 25*y**4/6 - 14*y**3/3 + 26*y**2/3 = 0.
-2, 0, 1, 26
Factor 2*w**3/13 + 16*w**2/13 - 150*w/13 + 252/13.
2*(w - 3)**2*(w + 14)/13
Factor 21*l**3/8 - 771*l**2/8 + 1275*l/4 + 99.
3*(l - 33)*(l - 4)*(7*l + 2)/8
Let 2*a**2/3 - 734*a/3 + 1460/3 = 0. Calculate a.
2, 365
Factor -2*n**3/7 + 6*n/7 + 4/7.
-2*(n - 2)*(n + 1)**2/7
What is j in 14*j**3 + 872*j**2 + 2726*j + 708 = 0?
-59, -3, -2/7
Factor 2*b**2 - 270*b + 268.
2*(b - 134)*(b - 1)
Solve -2*v**4 - 4450*v**3 - 2477536*v**2 - 2473088*v = 0 for v.
-1112, -1, 0
Determine o so that -o**2 + 1 = 0.
-1, 1
Factor 3*g**4 + 24*g**3 + 18*g**2 - 24*g - 21.
3*(g - 1)*(g + 1)**2*(g + 7)
Suppose 3*v**3 + 6*v**2 + 3*v = 0. What is v?
-1, 0
Let 98*h**5/11 - 2114*h**4/11 + 12944*h**3/11 - 16688*h**2/11 + 6560*h/11 - 800/11 = 0. Calculate h.
2/7, 1, 10
Let 3*u**4/4 - 39*u**3/4 + 105*u**2/4 + 39*u/4 - 27 = 0. Calculate u.
-1, 1, 4, 9
Determine x, given that -2*x**5 + 12*x**4 - 2*x**3 - 48*x**2 - 32*x = 0.
-1, 0, 4
Factor -2*w**3/9 - 418*w**2/9 + 140*w/3.
-2*w*(w - 1)*(w + 210)/9
Factor 2*l**4/21 + 32*l**3/21 + 128*l**2/21.
2*l**2*(l + 8)**2/21
Factor -z**3/3 - 20*z**2/3 - 64*z/3.
-z*(z + 4)*(z + 16)/3
Factor -6*u**5 - 170*u**4 - 56*u**3.
-2*u**3*(u + 28)*(3*u + 1)
Solve -2*d**5 - 22*d**4 + 2*d**3 + 22*d**2 = 0 for d.
-11, -1, 0, 1
Factor -3*t**4 + 27*t**2 - 12*t - 36