2/3
Factor p**2/6 - 79*p/3 + 6241/6.
(p - 79)**2/6
Let 2*p**5 - 24*p**4 + 94*p**3 - 104*p**2 - 96*p + 128 = 0. Calculate p.
-1, 1, 4
Factor 22*v**3 + 74*v**2 + 68*v + 16.
2*(v + 1)*(v + 2)*(11*v + 4)
Determine k, given that -4*k**2 + 116*k - 480 = 0.
5, 24
Suppose l**2/2 - 95*l/2 - 48 = 0. What is l?
-1, 96
Suppose v**4/4 - 337*v**3/4 + 14279*v**2/2 - 6888*v - 14112 = 0. Calculate v.
-1, 2, 168
Factor 3*j**5 + 318*j**4 + 11019*j**3 + 116964*j**2 - 268272*j + 139968.
3*(j - 1)**2*(j + 36)**3
Factor 3*o**3 - 3*o**2 - 27*o + 27.
3*(o - 3)*(o - 1)*(o + 3)
Factor -5*x**2 - 2390*x - 7125.
-5*(x + 3)*(x + 475)
Factor 4*g**2 + 64*g + 192.
4*(g + 4)*(g + 12)
Determine x so that 2*x**2 - 96*x = 0.
0, 48
Solve 2*s**3/5 - 132*s**2/5 + 126*s/5 + 52 = 0 for s.
-1, 2, 65
What is l in 5*l**4 - 15*l**3 - 65*l**2 + 75*l = 0?
-3, 0, 1, 5
Determine u, given that -4*u**3/3 + 68*u**2/3 - 88*u + 96 = 0.
2, 3, 12
Determine a so that 4*a**2 + 8164*a - 8168 = 0.
-2042, 1
Factor 4*m**2 + 80*m - 84.
4*(m - 1)*(m + 21)
Let d**2/2 - 14*d - 29/2 = 0. What is d?
-1, 29
Determine j so that 21*j**5/5 + 288*j**4/5 + 1428*j**3/5 + 2928*j**2/5 + 1728*j/5 - 768/5 = 0.
-4, -2, 2/7
Find t such that 2*t**2/5 + 2428*t/5 + 736898/5 = 0.
-607
Find r, given that -4*r**5 - 88*r**4 - 240*r**3 - 232*r**2 - 76*r = 0.
-19, -1, 0
Determine h so that h**4 + 5*h**3 - 22*h**2 + 16*h = 0.
-8, 0, 1, 2
Factor -5*z**5 + 45*z**3.
-5*z**3*(z - 3)*(z + 3)
Factor i**2/3 + 14*i/3 - 95/3.
(i - 5)*(i + 19)/3
Let 4*r**2 - 40*r - 44 = 0. Calculate r.
-1, 11
Let s**5/3 - s**4 - 2*s**3/3 + 2*s**2 + s/3 - 1 = 0. What is s?
-1, 1, 3
Find z, given that z**4/11 + 10*z**3/11 + 29*z**2/11 + 8*z/11 - 48/11 = 0.
-4, -3, 1
Find z such that 5*z**3 + 1235*z**2 - 18025*z + 63945 = 0.
-261, 7
Find t such that 6*t**4/11 + 214*t**3/11 + 2078*t**2/11 + 3026*t/11 + 1156/11 = 0.
-17, -1, -2/3
Factor 5*y**5/2 - 245*y**4/2 + 475*y**3/2 - 235*y**2/2.
5*y**2*(y - 47)*(y - 1)**2/2
Factor z**4/2 - 3*z**3/2 - 9*z**2/2 - 5*z/2.
z*(z - 5)*(z + 1)**2/2
Factor 3*j**2 + 12*j - 36.
3*(j - 2)*(j + 6)
Factor 2*l**3 + 138*l**2/5 - 376*l/5 - 384/5.
2*(l - 3)*(l + 16)*(5*l + 4)/5
Factor 4*u**4 + 220*u**3 - 484*u**2 - 1612*u - 912.
4*(u - 4)*(u + 1)**2*(u + 57)
Factor -3*l**2/5 - 1569*l/5 - 3126/5.
-3*(l + 2)*(l + 521)/5
Factor l**4 - 8*l**3 - 37*l**2 + 44*l.
l*(l - 11)*(l - 1)*(l + 4)
Determine t so that 2*t**2/7 - 96*t/7 - 200/7 = 0.
-2, 50
Factor 3*p**5/8 + 6*p**4 - 105*p**3/8 + 27*p**2/4.
3*p**2*(p - 1)**2*(p + 18)/8
Let -10*u**5/7 + 164*u**4/7 - 944*u**3/7 + 2272*u**2/7 - 2208*u/7 + 576/7 = 0. Calculate u.
2/5, 2, 6
Let -16*a**4/3 + 22*a**3/3 - 2*a**2 = 0. What is a?
0, 3/8, 1
Factor -2883*v**3/2 + 25389*v**2/2 + 4995*v/2 + 243/2.
-3*(v - 9)*(31*v + 3)**2/2
Find a such that -a**3 - 11*a**2 = 0.
-11, 0
Determine g, given that -g**4/3 + g**3/3 + 17*g**2/3 + 5*g = 0.
-3, -1, 0, 5
Factor -s**2 - 13*s + 14.
-(s - 1)*(s + 14)
What is s in -3*s**4/5 - 3*s**3 - 6*s**2/5 + 24*s/5 = 0?
-4, -2, 0, 1
Let -4*k**3 - 20*k**2 + 32*k + 48 = 0. What is k?
-6, -1, 2
Solve 14*w**5 - 55*w**4 + 22*w**3 + 61*w**2 - 30*w = 0 for w.
-1, 0, 1/2, 10/7, 3
Suppose -2*b**2/21 + 80*b/21 - 152/21 = 0. Calculate b.
2, 38
Suppose -8*r**4/3 + 526*r**3/3 - 2860*r**2 - 726*r = 0. Calculate r.
-1/4, 0, 33
Let 10*s**2/13 - 418*s/13 - 84/13 = 0. What is s?
-1/5, 42
What is z in -z**4 - 4*z**3 + 21*z**2 = 0?
-7, 0, 3
Find k, given that 3*k**3 - 12*k = 0.
-2, 0, 2
Factor -o**4/3 - o**3/3 + 7*o**2/3 + 13*o/3 + 2.
-(o - 3)*(o + 1)**2*(o + 2)/3
Factor -3*x**5 + 1833*x**4 - 282729*x**3 + 837219*x**2 - 833568*x + 277248.
-3*(x - 304)**2*(x - 1)**3
Suppose 4*a**4 + 278*a**3 - 712*a**2 + 574*a - 144 = 0. What is a?
-72, 1/2, 1
Find a such that -5*a**3/6 - 139*a**2/6 + 173*a/6 - 29/6 = 0.
-29, 1/5, 1
Factor -n**2/3 + 409*n/3 - 136.
-(n - 408)*(n - 1)/3
Find m, given that -3*m**5/2 - 9*m**4 + 36*m**3 + 120*m**2 - 504*m + 432 = 0.
-6, 2
What is p in -2*p**5/15 + 22*p**3/15 + 12*p**2/5 + 16*p/15 = 0?
-2, -1, 0, 4
Factor 3*l**3 - 6*l**2 - 3*l + 6.
3*(l - 2)*(l - 1)*(l + 1)
Solve 2*v**5 + 282*v**4 + 10356*v**3 + 29396*v**2 + 28842*v + 9522 = 0 for v.
-69, -1
Factor 2*f**3/11 + 64*f**2/11 + 502*f/11 + 40.
2*(f + 1)*(f + 11)*(f + 20)/11
What is i in i**2 - 76*i = 0?
0, 76
Let m**3/6 + 8*m**2 + 89*m/6 - 23 = 0. Calculate m.
-46, -3, 1
Factor -8*q**3 - 4*q**2.
-4*q**2*(2*q + 1)
Determine a, given that -5*a**2 - 21780*a - 23718420 = 0.
-2178
Solve y**4 + 50*y**3 + 307*y**2 + 258*y = 0 for y.
-43, -6, -1, 0
Suppose -2*y**4 - 66*y**3 + 212*y**2 - 144*y = 0. Calculate y.
-36, 0, 1, 2
Factor -16*o**3/5 + 724*o**2/5.
-4*o**2*(4*o - 181)/5
Factor s**3 - 21*s**2 + 56*s - 36.
(s - 18)*(s - 2)*(s - 1)
Suppose -5*x**4 + 305*x**3/4 - 665*x**2/4 - 3825*x/4 - 2835/4 = 0. Calculate x.
-7/4, -1, 9
Factor 5*f**3 - 175*f**2 + 330*f.
5*f*(f - 33)*(f - 2)
Factor 3*b**2 - 48.
3*(b - 4)*(b + 4)
What is t in 50*t**3/7 + 92*t**2/7 + 34*t/7 - 8/7 = 0?
-1, 4/25
Factor 27*t**2/5 + 168*t/5 + 228/5.
3*(t + 2)*(9*t + 38)/5
Determine h, given that 66*h**2/17 + 10*h/17 = 0.
-5/33, 0
Factor -u**2 - 61*u - 60.
-(u + 1)*(u + 60)
Find s such that -2*s**2/17 + 106*s/17 = 0.
0, 53
Solve 12482*h**2 + 26544*h + 14112 = 0.
-84/79
Suppose -22*b**5/23 + 580*b**4/23 - 1726*b**3/23 + 24*b**2 = 0. Calculate b.
0, 4/11, 3, 23
Find o, given that 4*o**3/3 - 32*o**2/3 - 16*o/3 + 128/3 = 0.
-2, 2, 8
Factor 5*a**3 - 535*a**2 - 540*a.
5*a*(a - 108)*(a + 1)
Factor m**3/2 - 117*m**2/2 + 231*m/2 - 115/2.
(m - 115)*(m - 1)**2/2
Find n such that 70*n**5/11 + 278*n**4/11 + 360*n**3/11 + 184*n**2/11 + 32*n/11 = 0.
-2, -1, -4/7, -2/5, 0
Solve -6*x**5 - 75*x**4/2 - 63*x**3 - 75*x**2/2 - 6*x = 0.
-4, -1, -1/4, 0
What is y in -2*y**3 - 6*y**2 + 290*y - 1050 = 0?
-15, 5, 7
Factor -4*u**4 - 140*u**3 - 1372*u**2 - 4116*u.
-4*u*(u + 7)**2*(u + 21)
Let t**2 + 1786*t + 797449 = 0. Calculate t.
-893
Factor 3*n**3/7 + 8874*n**2/7 + 8749764*n/7 + 2875755768/7.
3*(n + 986)**3/7
Find t, given that 5*t**4 - 305*t**3 + 4485*t**2 + 5425*t - 9610 = 0.
-2, 1, 31
Solve -2*g**5 + 256*g**4/7 - 926*g**3/7 - 2276*g**2/7 - 680*g/7 + 400/7 = 0.
-1, 2/7, 10
Factor b**4/2 + 6*b**3 + 16*b**2 - 24*b - 72.
(b - 2)*(b + 2)*(b + 6)**2/2
Factor -12*d**3 + 10*d**2 + 46*d - 44.
-2*(d - 1)*(d + 2)*(6*d - 11)
Factor 2*o**2/9 - 320*o/9 + 106/3.
2*(o - 159)*(o - 1)/9
Solve -5*p**2 + 30*p + 35 = 0 for p.
-1, 7
What is a in -20*a**5 + 713*a**4 + 1003*a**3 - 139*a**2 - 335*a + 74 = 0?
-1, 1/4, 2/5, 37
Suppose -3*u**4/4 + 9*u**3 - 9*u**2/2 - 39*u - 99/4 = 0. Calculate u.
-1, 3, 11
Factor -3*s**4 - 6*s**3 + 3*s**2 + 6*s.
-3*s*(s - 1)*(s + 1)*(s + 2)
Let 4*u**2 + 100*u + 96 = 0. Calculate u.
-24, -1
Determine n, given that n**4/3 + 35*n**3/3 - 418*n**2/3 + 1408*n/3 - 480 = 0.
-45, 2, 4
Find n, given that -2*n**4/11 + 228*n**3/11 + 42*n**2 + 232*n/11 = 0.
-1, 0, 116
Factor -2*n**2/7 + 5948*n/7 - 4422338/7.
-2*(n - 1487)**2/7
Factor 2*n**4 + 4*n**3 - 26*n**2 + 20*n.
2*n*(n - 2)*(n - 1)*(n + 5)
What is t in 4*t**5 - 180*t**4 + 480*t**3 + 1040*t**2 - 1344*t = 0?
-2, 0, 1, 4, 42
Determine a so that a**3/5 + a**2 - 66*a/5 = 0.
-11, 0, 6
Determine w, given that w**4 + 62*w**3/5 + 129*w**2/5 - 448*w/5 - 196/5 = 0.
-7, -2/5, 2
Factor -v**3/5 - 2*v**2/5 + 29*v/5 + 6.
-(v - 5)*(v + 1)*(v + 6)/5
Find l such that 3*l**2/4 + 99*l/4 + 24 = 0.
-32, -1
Factor -3*x**3 + 84*x**2.
-3*x**2*(x - 28)
Determine c so that 3*c**2/7 + 78*c/7 - 81/7 = 0.
-27, 1
Solve 3*f**4 + 546*f**3 + 24291*f**2 - 50232*f + 25392 = 0.
-92, 1
Factor 3*j**4 + 3*j**3 - 15*j**2 + 9*j.
3*j*(j - 1)**2*(j + 3)
Suppose -2*h**3/5 + 192*h**2/5 + 78*h + 196/5 = 0. Calculate h.
-1, 98
Suppose i**3/5 - 22*i**2/5 + 41*i/5 - 4 = 0. Calculate i.
1, 20
Suppose 2*s**2/3 + 4*s - 14/3 = 0. What is s?
-7, 1
Factor 625*r**4/2 - 1225*r**3 + 2301*r**2/2 + 98*r + 2.
(r - 2)**2*(25*r + 1)**2/2
Factor -4*l**3/7 - 4*l**2/7 + 20*l/7 - 12/7.
-4*(l - 1)**2*(l + 3)/7
Suppose 9*y**3 - 75*y**2 + 159*y - 45 = 0. What is y?
1/3, 3, 5
Factor 5*i**3 - 160*i**2 - 1220*i + 3040.
5*(i - 38)*(i - 2)*(i + 8)
Solve -12*h**4 + 92*h**3 - 188*h**2 + 148*h - 40 = 0.
2/3, 1, 5
Find l such that -5*l**5 + 10*l**4 - 10*l**2 + 5*l = 0.
-1, 0, 1
Factor 4*m**5/3 - 28*m**4/3 - 24*m**3.
4*m**3*(m - 9)*(m + 2)/3
Factor 5*g**3 + 715*g**2 + 23680*g - 136900.
5*(g - 5)*(g + 74)**2
Solve -2*y**4/3 - 5*y