, 16
Factor 4*x**3 + 4*x**2 - 48*x.
4*x*(x - 3)*(x + 4)
Factor o**2/6 + 647*o/3 + 431/2.
(o + 1)*(o + 1293)/6
Factor -2*c**2 - 37*c + 60.
-(c + 20)*(2*c - 3)
Factor 2*m**3/7 - 4*m**2 + 66*m/7.
2*m*(m - 11)*(m - 3)/7
Factor 95*i**3 - 830*i**2 + 2035*i - 1300.
5*(i - 5)*(i - 1)*(19*i - 52)
Solve 2*t**5/7 - 10*t**4/7 + 18*t**3/7 - 2*t**2 + 4*t/7 = 0.
0, 1, 2
Factor 22*w**2/9 + 2138*w/9 + 388/9.
2*(w + 97)*(11*w + 2)/9
Find a, given that -3*a**3/5 + 24*a**2/5 - 51*a/5 + 6 = 0.
1, 2, 5
Find f such that -f**2 - 202*f = 0.
-202, 0
Find l such that 3*l**3/2 + 93*l**2 - 189*l/2 = 0.
-63, 0, 1
Factor -4*i**2 + 39384*i - 96943716.
-4*(i - 4923)**2
Factor 2*h**2 + 60*h + 322.
2*(h + 7)*(h + 23)
Factor -h**4/9 - 7*h**3/9 + h**2/3 + 55*h/9 - 50/9.
-(h - 2)*(h - 1)*(h + 5)**2/9
Factor i**5/3 - 11*i**4/3 + 37*i**3/3 - 15*i**2 + 6*i.
i*(i - 6)*(i - 3)*(i - 1)**2/3
Solve -7*i**4 - 470*i**3/3 - 321*i**2 + 734*i/3 - 40 = 0.
-20, -3, 2/7, 1/3
Factor k**4/10 - 177*k**3/10 + 7743*k**2/10 + 7921*k/10.
k*(k - 89)**2*(k + 1)/10
Find r such that r**3/2 + 18*r**2 - 126*r = 0.
-42, 0, 6
Suppose 3*k**2/5 + 42*k/5 - 9 = 0. What is k?
-15, 1
Solve 2*a**3/7 - 8*a**2/7 - 10*a/7 = 0.
-1, 0, 5
Find p, given that -6*p**4/19 - 22*p**3/19 - 22*p**2/19 - 2*p/19 + 4/19 = 0.
-2, -1, 1/3
Factor p**2 + 302*p + 22801.
(p + 151)**2
Suppose 5*y**2 + 10*y = 0. What is y?
-2, 0
Determine l so that -5*l**5 + 5*l**4 + 60*l**3 - 140*l**2 + 80*l = 0.
-4, 0, 1, 2
Factor -h**3/6 + 2*h**2 + 38*h/3 - 32.
-(h - 16)*(h - 2)*(h + 6)/6
Solve -3*q**5 - 24*q**4 - 48*q**3 - 6*q**2 + 51*q + 30 = 0 for q.
-5, -2, -1, 1
Solve 15*l**4 - 925*l**3 + 610*l**2 = 0.
0, 2/3, 61
Factor -4*v**3/3 - 256*v**2/3 - 76*v + 504.
-4*(v - 2)*(v + 3)*(v + 63)/3
Suppose 5*f**4/3 + 290*f**3/3 + 3080*f**2/3 = 0. Calculate f.
-44, -14, 0
What is g in 18*g**4/7 - 104*g**3/7 + 174*g**2/7 - 64*g/7 - 24/7 = 0?
-2/9, 1, 2, 3
Find v such that 2*v**5/5 + 10*v**4 + 414*v**3/5 + 1286*v**2/5 + 304*v + 120 = 0.
-10, -3, -1
Factor -n**3/3 + 14*n**2 - 52*n + 152/3.
-(n - 38)*(n - 2)**2/3
Factor 4*l**3 + 64*l**2 + 180*l - 648.
4*(l - 2)*(l + 9)**2
Factor 3*m**5/2 + 1128*m**4 - 4527*m**3 + 6798*m**2 - 9069*m/2 + 1134.
3*(m - 1)**4*(m + 756)/2
Determine i, given that -4*i**3 - 316*i**2 - 896*i + 1216 = 0.
-76, -4, 1
Find c such that -12*c**2 + 363*c - 90 = 0.
1/4, 30
Factor -2*j**3/5 - 6*j**2 - 96*j/5 + 128/5.
-2*(j - 1)*(j + 8)**2/5
Factor -s**3/4 + 13*s**2/4 - 12*s + 9.
-(s - 6)**2*(s - 1)/4
Suppose -76*l**2 + 996*l - 104 = 0. What is l?
2/19, 13
What is l in 16*l**5 + 476*l**4 + 3928*l**3 + 5708*l**2 + 1456*l - 784 = 0?
-14, -1, 1/4
Factor 4*y**4 + 88*y**3 - 100*y**2 - 184*y.
4*y*(y - 2)*(y + 1)*(y + 23)
Solve -3*u**5 + 69*u**4 - 633*u**3 + 2895*u**2 - 6600*u + 6000 = 0 for u.
4, 5
Factor 4*d**2/3 + 4798*d/3 - 800.
2*(d + 1200)*(2*d - 1)/3
Factor -4*z**3 - 2804*z**2 - 481440*z + 3508848.
-4*(z - 7)*(z + 354)**2
Find o, given that -2*o**2/7 - 4*o/7 + 30/7 = 0.
-5, 3
What is z in -z**2 + 3*z + 4 = 0?
-1, 4
Factor -3*t**5 - 123*t**4 - 1581*t**3 - 6069*t**2.
-3*t**2*(t + 7)*(t + 17)**2
Suppose -2*f**4 + 738*f**2 + 6760*f + 13800 = 0. Calculate f.
-10, -3, 23
Suppose -50*z**2/3 + 985*z/6 - 40 = 0. What is z?
1/4, 48/5
Solve 18*m**4/11 + 2064*m**3/11 + 5402*m**2/11 + 2916*m/11 + 448/11 = 0 for m.
-112, -2, -1/3
Factor -3*i**4/5 + 39*i**3/5 - 24*i**2 + 108*i/5.
-3*i*(i - 9)*(i - 2)**2/5
Find g such that 9*g**3/5 + 42*g**2 + 987*g/5 + 306/5 = 0.
-17, -6, -1/3
What is l in -l**3 - 66*l**2 + 592*l = 0?
-74, 0, 8
Suppose 5*z**3 - 325*z**2 + 5115*z + 5445 = 0. Calculate z.
-1, 33
Factor -3*i**4/7 - 18*i**3/7 - 33*i**2/7 - 18*i/7.
-3*i*(i + 1)*(i + 2)*(i + 3)/7
Find t, given that 3*t**2 + 6*t = 0.
-2, 0
Determine i, given that -2*i**3/3 - 92*i**2/3 - 86*i/3 + 60 = 0.
-45, -2, 1
Solve -o**4/4 - 7*o**3/4 + 14*o**2 - 12*o = 0 for o.
-12, 0, 1, 4
Let 2*y**4/5 + 16*y**3/5 + 36*y**2/5 + 32*y/5 + 2 = 0. Calculate y.
-5, -1
Determine i, given that i**4 + 472*i**3 + 55692*i**2 - 1888*i - 222784 = 0.
-236, -2, 2
Factor -125*t**2 + 105*t + 20.
-5*(t - 1)*(25*t + 4)
Factor -2*f**3/9 + 256*f**2/9 - 506*f/9 + 28.
-2*(f - 126)*(f - 1)**2/9
Let -4*u**4 - 44*u**3 - 80*u**2 + 128*u = 0. What is u?
-8, -4, 0, 1
Factor m**3/5 - m**2 + 2*m/5 + 8/5.
(m - 4)*(m - 2)*(m + 1)/5
What is w in -2*w**5/11 + 874*w**4/11 - 95046*w**3/11 - 95922*w**2/11 = 0?
-1, 0, 219
Let c**2 + 39*c + 378 = 0. What is c?
-21, -18
Solve -5*q**2 - 1195*q + 12450 = 0 for q.
-249, 10
Let 6*t**4 + 15*t**3 - 33*t**2 + 12*t = 0. What is t?
-4, 0, 1/2, 1
Factor -q**5/3 - 17*q**4/3 - 106*q**3/3 - 290*q**2/3 - 325*q/3 - 125/3.
-(q + 1)**2*(q + 5)**3/3
Suppose -2*y**5 + 32*y**4 + 298*y**3 + 560*y**2 - 152*y - 736 = 0. Calculate y.
-4, -2, 1, 23
What is n in -n**2/2 - 356*n/3 - 79/2 = 0?
-237, -1/3
Factor -4*u**5 - 4*u**4 + 8*u**3.
-4*u**3*(u - 1)*(u + 2)
Factor 10*i**3 - 236*i**2 - 346*i - 100.
2*(i - 25)*(i + 1)*(5*i + 2)
Let -2*x**4/13 + 14*x**3/13 + 50*x**2/13 - 350*x/13 = 0. What is x?
-5, 0, 5, 7
Determine n so that 7*n**4 + 135*n**3 - 249*n**2 + 65*n + 42 = 0.
-21, -2/7, 1
Factor 3*q**4/4 - 75*q**3/4 + 63*q**2.
3*q**2*(q - 21)*(q - 4)/4
Let w**3/6 - 109*w**2/3 - 439*w/6 - 110/3 = 0. Calculate w.
-1, 220
Factor -m**2 - 121*m + 246.
-(m - 2)*(m + 123)
Factor h**3/5 + 49*h**2/5 + 224*h/5 + 176/5.
(h + 1)*(h + 4)*(h + 44)/5
Factor s**2 - 6*s.
s*(s - 6)
Factor -m**2/2 + 30*m - 432.
-(m - 36)*(m - 24)/2
Suppose 2*l**5/7 - 6*l**4/7 - 12*l**3/7 + 8*l**2 - 48*l/7 = 0. What is l?
-3, 0, 2
Determine h, given that -h**4/3 + h**3/3 + h**2 - h/3 - 2/3 = 0.
-1, 1, 2
Solve 70*z**3 + 155*z**2 + 55*z - 30 = 0 for z.
-3/2, -1, 2/7
Factor -4*d**2/15 - 2*d/5 - 2/15.
-2*(d + 1)*(2*d + 1)/15
What is h in 5*h**5/4 - 13*h**4/4 - 67*h**3/2 - 73*h**2/2 + 33*h/4 + 63/4 = 0?
-3, -1, 3/5, 7
Factor -m**3 + 118*m**2 - 341*m - 460.
-(m - 115)*(m - 4)*(m + 1)
Factor 2*k**5 - 22*k**4 + 68*k**3 - 48*k**2.
2*k**2*(k - 6)*(k - 4)*(k - 1)
Find g, given that 2*g**5 - 122*g**4 + 2136*g**3 - 8288*g**2 + 6272*g = 0.
0, 1, 4, 28
Determine n, given that 5*n**5 + 925*n**4 + 41355*n**3 - 133465*n**2 - 41360*n + 132540 = 0.
-94, -1, 1, 3
Factor 3*r**3/5 - 126*r**2/5 + 567*r/5 - 444/5.
3*(r - 37)*(r - 4)*(r - 1)/5
Determine p so that -p**3/2 + 24*p**2 - 765*p/2 + 2023 = 0.
14, 17
Factor -27*q**3 + 60*q**2.
-3*q**2*(9*q - 20)
Factor 3*s**3 - 9*s**2 - 30*s.
3*s*(s - 5)*(s + 2)
Factor 5*g**3 - 40*g**2.
5*g**2*(g - 8)
Factor -k**5/2 + 5*k**3 + 10*k**2 + 15*k/2 + 2.
-(k - 4)*(k + 1)**4/2
Suppose b**4/3 - b**3 - b**2/3 + b = 0. Calculate b.
-1, 0, 1, 3
Factor 40*d**2 - 4*d.
4*d*(10*d - 1)
Factor l**4/8 - 19*l**3/8 + 35*l**2/8 - 17*l/8.
l*(l - 17)*(l - 1)**2/8
Factor t**5 + 14*t**4 + 28*t**3 - 120*t**2.
t**2*(t - 2)*(t + 6)*(t + 10)
Let -12*s**5 + 56*s**4 - 280*s**3/3 + 208*s**2/3 - 68*s/3 + 8/3 = 0. Calculate s.
1/3, 1, 2
Find t, given that -2*t**4 + 44*t**3 + 152*t**2 - 44*t - 150 = 0.
-3, -1, 1, 25
What is o in 70*o**4/11 + 607*o**3/11 + 1051*o**2/11 - 432*o/11 - 36/11 = 0?
-6, -3, -1/14, 2/5
Factor -3*v**2/5.
-3*v**2/5
Let -23*k**5/10 + 24*k**4/5 + 13*k**3/2 - 49*k**2/5 - 42*k/5 + 4/5 = 0. What is k?
-1, 2/23, 2
What is o in 4*o**3 - 12*o**2 - 280*o = 0?
-7, 0, 10
Determine g, given that 4*g**5/7 + 48*g**4/7 + 212*g**3/7 + 424*g**2/7 + 384*g/7 + 128/7 = 0.
-4, -2, -1
Let -r**2 - 24*r + 2257 = 0. What is r?
-61, 37
Find t, given that 4*t**2 + 18480*t + 21344400 = 0.
-2310
Suppose 4*y**3 - 180*y**2 + 656*y = 0. Calculate y.
0, 4, 41
Factor -3*r**2 - 102*r - 99.
-3*(r + 1)*(r + 33)
Solve 52*h**3 + 8*h**2 - 52*h - 8 = 0 for h.
-1, -2/13, 1
Factor -g**3/3 - g**2/3 + 2*g.
-g*(g - 2)*(g + 3)/3
Factor v**3 - 226*v**2 - 917*v - 690.
(v - 230)*(v + 1)*(v + 3)
Factor -3*n**2 - 9*n + 30.
-3*(n - 2)*(n + 5)
Factor -85*d**2 + 140*d + 60.
-5*(d - 2)*(17*d + 6)
Factor -3*r**2/4 - 15*r/4 - 9/2.
-3*(r + 2)*(r + 3)/4
Factor 5*r**4 + 10*r**3 - 60*r**2 - 40*r + 160.
5*(r - 2)**2*(r + 2)*(r + 4)
Determine r, given that 2*r**4/13 + 6*r**3/13 - 2*r**2 - 54*r/13 + 72/13 = 0.
-4, -3, 1, 3
Determine p, given that -12*p**3 + 9027*p**2 - 1698768*p + 424128 = 0.
1/4, 376
Suppose -t**4/2 - 23*t**3/2 + 124*t**2 = 0. Calculate t.
-31, 0, 8
Let z**4/3 + 7*z**3 - 50*z**2 + 316*z/3 - 72 = 0. What is z?
-27, 2
Factor -5*v**5 - 30*v**4 - 40*v**3 + 10*v**2 + 45*v + 20.
-5*(v - 1)*(v + 1)**3*