*p**2 = 0.
-4, 0, 2/5, 3
Solve 4*x**4/3 + 16*x**3/3 = 0 for x.
-4, 0
Determine t so that 4*t**4 + 8*t**3 - 108*t**2 - 432*t - 432 = 0.
-3, -2, 6
Factor w**2 - 2*w.
w*(w - 2)
Suppose 2*l**5/7 - 150*l**4/7 + 292*l**3/7 + 4*l**2/7 - 42*l + 146/7 = 0. What is l?
-1, 1, 73
Factor 2*u**2 + 768*u.
2*u*(u + 384)
Factor 3*q**3/7 + 348*q**2/7 + 2637*q/7 + 4860/7.
3*(q + 3)*(q + 5)*(q + 108)/7
Factor -14*w**3/13 - 38*w**2/13 + 12*w/13.
-2*w*(w + 3)*(7*w - 2)/13
Solve 4*q**3 - 344*q**2 - 716*q + 1056 = 0 for q.
-3, 1, 88
Determine f, given that 12*f**5 + 280*f**4 + 92*f**3 = 0.
-23, -1/3, 0
Factor -81*f**3 + 180*f**2 - 37*f + 2.
-(f - 2)*(9*f - 1)**2
What is k in -k**4/9 - 5*k**3/9 + 193*k**2/9 - 187*k/9 = 0?
-17, 0, 1, 11
Let -2*p**3/17 - 46*p**2/17 - 160*p/17 - 152/17 = 0. Calculate p.
-19, -2
Determine f, given that 4*f**5 - 56*f**4 + 104*f**3 + 368*f**2 - 588*f - 792 = 0.
-2, -1, 3, 11
Factor -5*j**2 - 70*j.
-5*j*(j + 14)
Factor -4*t**3 + 469*t**2 + 1314*t + 720.
-(t - 120)*(t + 2)*(4*t + 3)
Factor 4*u**4/5 + 64*u**3/5 + 36*u**2 - 648*u/5.
4*u*(u - 2)*(u + 9)**2/5
Suppose 2*f**3 + 12*f**2 + 10*f = 0. What is f?
-5, -1, 0
What is x in 3*x**4/2 - 21*x**3/2 - 219*x**2/2 - 195*x/2 = 0?
-5, -1, 0, 13
Factor -5*w**3 - 10*w**2 + 15*w.
-5*w*(w - 1)*(w + 3)
Factor 3*d**5.
3*d**5
Factor 7*t**5/4 + 59*t**4/4 + 48*t**3 + 74*t**2 + 52*t + 12.
(t + 2)**4*(7*t + 3)/4
Factor y**3 + 447*y**2 - 448*y.
y*(y - 1)*(y + 448)
Determine n, given that -n**3/9 - 2*n**2/9 + n/3 = 0.
-3, 0, 1
Solve n**3 + 2*n**2 - 16*n - 32 = 0.
-4, -2, 4
Find x such that x**4/11 + x**3/11 - 2*x**2/11 = 0.
-2, 0, 1
Suppose 12*y**5 - 56*y**4 - 56*y**3 + 144*y**2 + 172*y + 40 = 0. Calculate y.
-1, -1/3, 2, 5
Determine u so that -4*u**3/15 + 62*u**2/15 - 32*u/3 - 32/5 = 0.
-1/2, 4, 12
Factor -3*i**5/2 + 3*i**3/2.
-3*i**3*(i - 1)*(i + 1)/2
Factor -5*s**2 - 25375*s - 25370.
-5*(s + 1)*(s + 5074)
What is d in 2*d**5/7 + 24*d**4/7 + 92*d**3/7 + 120*d**2/7 + 50*d/7 = 0?
-5, -1, 0
Find m, given that 3*m**5/2 - 9*m**4 + 21*m**3/2 + 9*m**2 - 12*m = 0.
-1, 0, 1, 2, 4
Factor 216*x**2 + 237*x + 21.
3*(x + 1)*(72*x + 7)
Find f, given that -f**3 + 333*f**2 = 0.
0, 333
Determine y, given that -4*y**5 - 276*y**4 - 3276*y**3 + 54756*y**2 = 0.
-39, 0, 9
Factor -3*w**2/7 - 18*w - 816/7.
-3*(w + 8)*(w + 34)/7
Factor 3*w**3 - 102*w**2 - 861*w.
3*w*(w - 41)*(w + 7)
What is g in -g**3/3 - 136*g**2/3 - 532*g/3 - 176 = 0?
-132, -2
Factor 2*d**4 + 56*d**3 - 180*d**2 + 184*d - 62.
2*(d - 1)**3*(d + 31)
Let 7*n**5/4 - 185*n**4/8 + 15*n**3/4 + 115*n**2/8 + 13*n/4 = 0. Calculate n.
-1/2, -2/7, 0, 1, 13
Factor -119*r**2 - 176*r + 60.
-(7*r - 2)*(17*r + 30)
Suppose 3*j**2 - 351*j = 0. Calculate j.
0, 117
Factor -o**2 + 19*o - 48.
-(o - 16)*(o - 3)
Factor 5*u**3 + 875*u**2 + 2560*u - 3440.
5*(u - 1)*(u + 4)*(u + 172)
Solve 15*l**4 + 35*l**3 - 65*l**2 - 115*l - 30 = 0.
-3, -1, -1/3, 2
Solve -5*p**4/3 - 10*p**3 + 805*p**2/3 + 10*p - 800/3 = 0.
-16, -1, 1, 10
Determine c, given that -c**2/6 + 2*c/3 + 7/2 = 0.
-3, 7
Solve k**3/3 - 7*k**2/3 + 11*k/3 - 5/3 = 0.
1, 5
Solve -8*u**3 - 38*u**2 - 22*u + 8 = 0 for u.
-4, -1, 1/4
Let -4*s**2 + 8*s + 96 = 0. Calculate s.
-4, 6
Find o, given that o**2/7 - 317*o/7 - 3270/7 = 0.
-10, 327
Factor -4*c**2/7 + 1972*c/7 - 1968/7.
-4*(c - 492)*(c - 1)/7
Factor 5*c**3/3 + 100*c**2/3 - 5*c/3 - 100/3.
5*(c - 1)*(c + 1)*(c + 20)/3
Factor -5*v**2 + 383*v + 154.
-(v - 77)*(5*v + 2)
Factor l**3 + 105*l**2 + 3627*l + 41323.
(l + 31)**2*(l + 43)
Factor -5*l**3/6 - 2*l**2 - 3*l/2 - 1/3.
-(l + 1)**2*(5*l + 2)/6
Determine s, given that -4*s**2 + 68*s - 64 = 0.
1, 16
Solve 2*j**3/3 + 22*j**2 + 242*j + 2662/3 = 0.
-11
Suppose -15*y**2 + 81*y - 66 = 0. What is y?
1, 22/5
Let -5*p**5 + 260*p**4 + 3690*p**3 + 9460*p**2 + 8915*p + 2880 = 0. Calculate p.
-9, -1, 64
Suppose -4*u**2 - 52*u + 1680 = 0. What is u?
-28, 15
Find p, given that -p**4 + 12*p**3 - 20*p**2 - 96*p = 0.
-2, 0, 6, 8
Find a, given that -2*a**3 + 1824*a**2/5 - 728*a/5 = 0.
0, 2/5, 182
Determine p so that -p**3/6 - 2*p**2 = 0.
-12, 0
Factor 3*l**4 + 30*l**3 + 99*l**2 + 120*l + 48.
3*(l + 1)**2*(l + 4)**2
Factor h**3/3 - 74*h**2 + 5476*h - 405224/3.
(h - 74)**3/3
Factor 3*q**4 + 210*q**3 + 4419*q**2 + 26040*q + 46128.
3*(q + 4)**2*(q + 31)**2
Factor 5*s**4 - 50*s**3 + 145*s**2 - 160*s + 60.
5*(s - 6)*(s - 2)*(s - 1)**2
Factor 54*s**4/13 - 540*s**3/13 - 576*s**2/13 - 196*s/13 - 22/13.
2*(s - 11)*(3*s + 1)**3/13
What is p in -3*p**2 + 60*p - 153 = 0?
3, 17
Factor -3*o**2 - 168*o + 348.
-3*(o - 2)*(o + 58)
Factor 5*n**2/3 + 5300*n/3 + 1404500/3.
5*(n + 530)**2/3
Factor -3*z**2/2 - 6*z - 9/2.
-3*(z + 1)*(z + 3)/2
Factor -3*h**2 - 1956*h + 1959.
-3*(h - 1)*(h + 653)
Factor 98*m**2/13 - 952*m/13 + 2312/13.
2*(7*m - 34)**2/13
Factor 5*f**4 + 120*f**3 - 710*f**2 + 480*f + 1305.
5*(f - 3)**2*(f + 1)*(f + 29)
Factor 14*n**2 - 20*n + 6.
2*(n - 1)*(7*n - 3)
Suppose 2*c**3 + 118*c**2 + 1798*c + 1682 = 0. Calculate c.
-29, -1
Factor -s**2/4 + 757*s/4.
-s*(s - 757)/4
Find w, given that -10*w**2 + 26*w - 12 = 0.
3/5, 2
Factor 3*m**4/5 + 3*m**3/5 - 18*m**2/5.
3*m**2*(m - 2)*(m + 3)/5
Determine p, given that -21*p**3/4 + 81*p**2/4 + 3*p = 0.
-1/7, 0, 4
Determine c so that -1564*c**2 + 1560*c + 4 = 0.
-1/391, 1
Find t, given that -4*t**2 + 436*t + 440 = 0.
-1, 110
Let -2*l**3/19 + 12*l**2/19 - 10*l/19 - 24/19 = 0. What is l?
-1, 3, 4
Factor s**5/4 + 23*s**4/4 + 93*s**3/2 + 287*s**2/2 + 245*s/4 - 1029/4.
(s - 1)*(s + 3)*(s + 7)**3/4
Factor -2*l**3 - 24*l**2 - 78*l - 56.
-2*(l + 1)*(l + 4)*(l + 7)
Factor -5*g**3/2 + 33*g**2 - 32*g - 48.
-(g - 12)*(g - 2)*(5*g + 4)/2
Factor -2*r**2 - 44*r/3 - 14/3.
-2*(r + 7)*(3*r + 1)/3
Determine i, given that -2*i**2 + 906*i + 1820 = 0.
-2, 455
Let k**2 - 118*k - 119 = 0. What is k?
-1, 119
Find r, given that 7*r**3/3 - 110*r**2/3 - 284*r/3 - 24 = 0.
-2, -2/7, 18
Factor 2*j**3/3 - 10*j**2 - 32*j/3.
2*j*(j - 16)*(j + 1)/3
Find r such that -32*r**4 - 140*r**3 - 171*r**2 - 28*r + 20 = 0.
-2, -5/8, 1/4
Let -3*p**4 - 6*p**3 + 24*p**2 + 54*p + 27 = 0. What is p?
-3, -1, 3
Determine r so that 7*r**2/5 + 102*r/5 + 176/5 = 0.
-88/7, -2
Factor -c**3/5 + 18*c**2/5 - 17*c/5.
-c*(c - 17)*(c - 1)/5
Determine x so that -2*x**2/5 - 282*x/5 - 56 = 0.
-140, -1
Factor -i**4/3 + 2*i**3/3 + 7*i**2/3 + 4*i/3.
-i*(i - 4)*(i + 1)**2/3
Factor -3*c**2 + 786*c - 51483.
-3*(c - 131)**2
Factor -24*h**2/5 + 572*h/5 + 2052/5.
-4*(h - 27)*(6*h + 19)/5
Suppose 2*v**5/5 - 14*v**3/5 - 4*v**2/5 + 24*v/5 + 16/5 = 0. Calculate v.
-2, -1, 2
Let -53*s**2/6 - 47*s/6 + 1 = 0. Calculate s.
-1, 6/53
Factor l**2/6 + 61*l/6 - 21.
(l - 2)*(l + 63)/6
Factor 3*d**4 + 24*d**3 - 33*d**2 - 54*d.
3*d*(d - 2)*(d + 1)*(d + 9)
Factor -4*g**3 - 16*g**2 + 624*g - 2304.
-4*(g - 6)**2*(g + 16)
Factor v**3/6 - 107*v**2 + 22898*v - 4900172/3.
(v - 214)**3/6
Factor 22*g**3 + 122*g**2 + 192*g + 72.
2*(g + 2)*(g + 3)*(11*g + 6)
Let -8*v**2/3 - 1694*v/3 - 422 = 0. What is v?
-211, -3/4
Find j such that -4*j**4 + 88*j**3 - 608*j**2 + 1064*j + 1764 = 0.
-1, 7, 9
What is d in d**3 + 71*d**2 = 0?
-71, 0
Factor 9*b**2 - 5847*b + 3894.
3*(b - 649)*(3*b - 2)
Find x such that -x**4 + 14*x**3 - 68*x**2 + 130*x - 75 = 0.
1, 3, 5
Factor d**2 - 21*d/2 - 11/2.
(d - 11)*(2*d + 1)/2
Find t such that t**4 - 4*t**3 + 2*t**2 + 4*t - 3 = 0.
-1, 1, 3
Factor -2*z**5/19 + 600*z**4/19 - 60000*z**3/19 + 2000000*z**2/19.
-2*z**2*(z - 100)**3/19
Suppose u**3/7 - u/7 = 0. Calculate u.
-1, 0, 1
Determine c so that -2*c**5/3 + 20*c**4/3 - 56*c**3/3 + 16*c**2 = 0.
0, 2, 6
Let -p**5 + 14*p**4 - 25*p**3 + 12*p**2 = 0. Calculate p.
0, 1, 12
Suppose 4*l**5 + 44*l**4 + 108*l**3 + 100*l**2 + 32*l = 0. What is l?
-8, -1, 0
Factor -4*t**4 - 112*t**3.
-4*t**3*(t + 28)
Determine x, given that -x**3 + 4*x**2 + 11*x + 6 = 0.
-1, 6
Solve 6*l**4 - 3*l**3 - 18*l**2 = 0 for l.
-3/2, 0, 2
Let 98*c**5 - 728*c**4 - 2456*c**3 - 892*c**2 + 2358*c + 1620 = 0. Calculate c.
-9/7, -1, 1, 10
Suppose 5*p**3 - 35*p**2 + 35*p + 75 = 0. What is p?
-1, 3, 5
Find g such that -3*g**3 - 4110*g**2 + 4113*g = 0.
-1371, 0, 1
Factor -4*c**4/3 + 20*c**3 + 64*c**2/3.
-4*c**2*(c - 16)*(c + 1)/3
Find o, given that -o**4/2 + 3*o**3 + 12*o**2 + 13*o + 9/2 = 0.
-1, 9
Determine z, given that -2*z**5/11 + 18*z**4/11 - 58*z**3/11 + 78*z**2/11 - 36*z/11 = 0.
0, 1, 2, 3
Factor -o