*(h - 1)/2
Factor 27*a**2/5 + 21*a/5 - 6/5.
3*(a + 1)*(9*a - 2)/5
Factor -4*p**2/9 - 1264*p/9 + 5248/3.
-4*(p - 12)*(p + 328)/9
Factor m**4 + 12*m**3 + 45*m**2 + 50*m.
m*(m + 2)*(m + 5)**2
Factor -2*w**3 + 20*w**2 + 254*w - 272.
-2*(w - 17)*(w - 1)*(w + 8)
Find s such that -2*s**4 - 4*s**3 + 2*s**2 + 4*s = 0.
-2, -1, 0, 1
Determine w, given that -2*w**4/11 + 10*w**3/11 + 12*w**2/11 = 0.
-1, 0, 6
Factor 2*y**3/9 - 118*y**2/9 + 230*y/9 - 38/3.
2*(y - 57)*(y - 1)**2/9
Factor -1058*n**3/3 - 2392*n**2/3 - 190*n - 12.
-2*(n + 2)*(23*n + 3)**2/3
What is j in -j**3/7 + 4*j**2/7 + 81*j/7 - 324/7 = 0?
-9, 4, 9
Factor 5*x**4 - 70*x**3.
5*x**3*(x - 14)
Factor -2*j**3/15 + 52*j**2/15 - 418*j/15 + 968/15.
-2*(j - 11)**2*(j - 4)/15
Determine g, given that -2*g**5/3 + 124*g**4/3 + 388*g**3/3 + 136*g**2/3 - 386*g/3 - 260/3 = 0.
-2, -1, 1, 65
Factor -28*k**5/5 + 52*k**4 - 72*k**3/5.
-4*k**3*(k - 9)*(7*k - 2)/5
Suppose v**3/11 - 63*v**2/11 + 236*v/11 = 0. Calculate v.
0, 4, 59
Solve 12*s**2 - 219*s + 432 = 0.
9/4, 16
Factor x**4/3 + 4*x**3/3 - 29*x**2/3 + 8*x.
x*(x - 3)*(x - 1)*(x + 8)/3
Let 9*v**2/5 + 21*v/5 + 6/5 = 0. Calculate v.
-2, -1/3
Suppose 5*k**5 - 85*k**4 + 145*k**3 + 85*k**2 - 150*k = 0. Calculate k.
-1, 0, 1, 2, 15
Factor -q**4 - 14*q**3 - 43*q**2 - 30*q.
-q*(q + 1)*(q + 3)*(q + 10)
Factor -3*h**3/5 + 492*h**2/5 - 20172*h/5.
-3*h*(h - 82)**2/5
Factor -3*f**3/8 - 135*f**2/8 + 717*f/4 - 162.
-3*(f - 8)*(f - 1)*(f + 54)/8
Factor 4*b**3 + 32*b**2 - 4*b - 32.
4*(b - 1)*(b + 1)*(b + 8)
Factor 4*z**2 - 1128*z + 79524.
4*(z - 141)**2
Let 2*s**5/3 + 10*s**4/3 + 4*s**3/3 - 16*s**2/3 = 0. What is s?
-4, -2, 0, 1
Factor 2*c**4/17 - 276*c**3/17 - 278*c**2/17.
2*c**2*(c - 139)*(c + 1)/17
Factor n**5/6 + 143*n**4/6 + 411*n**3/2 + 1215*n**2/2 + 603*n.
n*(n + 3)**3*(n + 134)/6
Factor -2*c**5 + 4*c**4 - 2*c**3.
-2*c**3*(c - 1)**2
Solve -3*h**3/2 - 243*h**2/2 - 6237*h/2 - 49005/2 = 0 for h.
-33, -15
Factor 2*t**3/7 + 90*t**2/7 + 166*t/7 - 258/7.
2*(t - 1)*(t + 3)*(t + 43)/7
Determine o so that o**5 + 3*o**4 + 3*o**3 + o**2 = 0.
-1, 0
Factor -2*c**3 + 60*c**2 + 266*c + 204.
-2*(c - 34)*(c + 1)*(c + 3)
Suppose -g**2/4 - 1513*g/4 + 757/2 = 0. Calculate g.
-1514, 1
Factor -5*i**2 + 2580*i - 332820.
-5*(i - 258)**2
Factor 5*r**2 + 30*r + 25.
5*(r + 1)*(r + 5)
Factor 2*w**4/9 - 46*w**3/9 + 14*w**2 - 122*w/9 + 40/9.
2*(w - 20)*(w - 1)**3/9
Factor p**4 - 830*p**3 + 167173*p**2 + 2096580*p + 6380676.
(p - 421)**2*(p + 6)**2
Factor h**3/3 + 59*h**2/3 - 20*h.
h*(h - 1)*(h + 60)/3
Factor 3*l**5 - 33*l**4 + 138*l**3 - 270*l**2 + 243*l - 81.
3*(l - 3)**3*(l - 1)**2
Factor -5*f**3 - 85*f**2 + 100*f + 180.
-5*(f - 2)*(f + 1)*(f + 18)
Find z, given that z**3/4 + 23*z**2/4 - 35*z = 0.
-28, 0, 5
Determine y so that 4*y**3 + 28*y**2 + 44*y + 20 = 0.
-5, -1
Factor -2*m**2/9 + 64*m/9 - 58/3.
-2*(m - 29)*(m - 3)/9
Factor 5*r**5 + 780*r**4.
5*r**4*(r + 156)
Factor 4*o**4 - 28*o**2 + 24*o.
4*o*(o - 2)*(o - 1)*(o + 3)
Factor 5*r**2 - 105*r + 550.
5*(r - 11)*(r - 10)
Factor 2*g**5 + 14*g**4 + 6*g**3 - 62*g**2 + 40*g.
2*g*(g - 1)**2*(g + 4)*(g + 5)
Suppose 3*a**4 + 774*a**3 + 52191*a**2 + 292572*a + 428652 = 0. Calculate a.
-126, -3
What is z in 3*z**2 + 150*z - 153 = 0?
-51, 1
Suppose 3*d**2/2 - 1263*d/2 - 633 = 0. Calculate d.
-1, 422
Let 18*u**4/11 + 2*u**3 + 4*u**2/11 = 0. What is u?
-1, -2/9, 0
Factor -o**4/2 + 9*o**3 - 61*o**2/2 - 90*o - 50.
-(o - 10)**2*(o + 1)**2/2
Factor t**3/7 + 16*t**2/7 - 17*t/7.
t*(t - 1)*(t + 17)/7
Suppose 5*n**3 - 475*n**2 = 0. Calculate n.
0, 95
Factor 91*y**3/6 - 275*y**2/3 + 479*y/6 - 10/3.
(y - 5)*(y - 1)*(91*y - 4)/6
Determine c, given that -64*c**5 - 1120*c**4 - 3876*c**3 - 1732*c**2 - 208*c = 0.
-13, -4, -1/4, 0
Solve -8*k**5 - 176*k**4 - 906*k**3 - 878*k**2 + 1648*k - 480 = 0 for k.
-15, -4, 1/2
Suppose -5*k**3 + 6090*k**2 = 0. What is k?
0, 1218
Suppose -2*a**2/3 + 4208*a/3 - 2213408/3 = 0. Calculate a.
1052
Suppose 3*k**3 + 228*k**2 - 711*k = 0. What is k?
-79, 0, 3
Solve -2*r**2 + 5924*r/3 + 3952/3 = 0 for r.
-2/3, 988
Factor -5*q**2 + 130*q - 125.
-5*(q - 25)*(q - 1)
Determine d so that -2*d**5/5 + 342*d**4/5 - 15454*d**3/5 + 71554*d**2/5 - 111552*d/5 + 55112/5 = 0.
1, 2, 83
Find y such that -y**2 - 14*y - 13 = 0.
-13, -1
Factor -5*j**3 - 80*j**2 + 85*j.
-5*j*(j - 1)*(j + 17)
Factor 3*a**2 - 162*a.
3*a*(a - 54)
Determine z so that -4*z**3 - 424*z**2 + 436*z + 856 = 0.
-107, -1, 2
Factor -5*v**5 + 14180*v**4 - 15080430*v**3 + 7128016580*v**2 - 1263440938805*v.
-5*v*(v - 709)**4
What is d in -21*d**2/2 + 6*d + 9/2 = 0?
-3/7, 1
Let -1110*s**2/7 - 1118*s/7 - 8/7 = 0. Calculate s.
-1, -4/555
Factor h**2 - 4*h.
h*(h - 4)
Factor a**3 + 11*a**2 - 290*a + 528.
(a - 11)*(a - 2)*(a + 24)
Factor 2*u**4 + 220*u**3.
2*u**3*(u + 110)
Factor -2*b**4/7 + 54*b**3/7 - 144*b**2/7.
-2*b**2*(b - 24)*(b - 3)/7
Factor -3*a**4 - 87*a**3 + 9*a**2 + 255*a - 174.
-3*(a - 1)**2*(a + 2)*(a + 29)
Determine i, given that -2*i**4/3 + 126*i**3 - 376*i**2/3 = 0.
0, 1, 188
Factor -a**5/6 - 5*a**4/3 + 75*a**3 - 2000*a**2/3 + 14375*a/6 - 3125.
-(a - 5)**4*(a + 30)/6
Factor 3*u**5/2 - 6*u**4 - 33*u**3/2 - 9*u**2.
3*u**2*(u - 6)*(u + 1)**2/2
Factor a**3/6 + 85*a**2/3 + 503*a/6 + 167/3.
(a + 1)*(a + 2)*(a + 167)/6
Find r, given that 3*r**3 - 1542*r**2 - 1545*r = 0.
-1, 0, 515
What is x in 4*x**3/3 + 592*x**2 + 65712*x = 0?
-222, 0
Find k such that k**3 + 4*k**2 - 29*k + 24 = 0.
-8, 1, 3
Factor l**4/3 + l**3/3 - 4*l**2/3 - 4*l/3.
l*(l - 2)*(l + 1)*(l + 2)/3
Determine p, given that -36*p**3 - 1200*p**2 - 3700*p - 3000 = 0.
-30, -5/3
Factor -2*d**4/9 - 422*d**3/9 - 836*d**2/9.
-2*d**2*(d + 2)*(d + 209)/9
Solve 18*w**2/5 - 21*w/5 - 39/5 = 0.
-1, 13/6
Find f, given that 2*f**3 + 22*f**2 + 20*f = 0.
-10, -1, 0
Factor s**3/4 - 8*s**2 + 89*s/4 - 29/2.
(s - 29)*(s - 2)*(s - 1)/4
Determine s so that -4*s**4 - 88*s**3 = 0.
-22, 0
Factor -3*c**4/2 + 1311*c**3/2 + 2631*c**2/2 + 1317*c/2.
-3*c*(c - 439)*(c + 1)**2/2
Factor 4*u**3 + 1988*u**2 + 7904*u + 7888.
4*(u + 2)**2*(u + 493)
Factor -5*m**3 - 30*m**2 - 25*m.
-5*m*(m + 1)*(m + 5)
Factor -25*z**3 + 35*z**2 - 10*z.
-5*z*(z - 1)*(5*z - 2)
Factor -h**2 - 14*h + 32.
-(h - 2)*(h + 16)
Factor -3*k**3 + 594*k**2 - 14868*k + 99960.
-3*(k - 170)*(k - 14)**2
Solve d**2/2 - d/2 = 0 for d.
0, 1
Solve 8*s**4 + 44*s**3 + 72*s**2 + 36*s = 0.
-3, -3/2, -1, 0
What is b in 643204*b**2 + 22456*b + 196 = 0?
-7/401
Suppose 2*l**4 - 17*l**3 + 31*l**2 - 4*l - 12 = 0. What is l?
-1/2, 1, 2, 6
Let 2*v**3/9 - 1522*v**2/3 + 1158242*v/3 - 881422162/9 = 0. Calculate v.
761
Factor 3*v**4/2 + 30*v**3 + 279*v**2/2 + 189*v.
3*v*(v + 3)**2*(v + 14)/2
Factor 2*b**3/7 + 50*b**2 + 15486*b/7 + 15138/7.
2*(b + 1)*(b + 87)**2/7
Determine m, given that -m**5/3 + 4*m**4 - 34*m**3/3 - 4*m**2 + 35*m/3 = 0.
-1, 0, 1, 5, 7
Solve -g**4 - g**3 = 0.
-1, 0
Factor -r**4/2 - r**3 + 29*r**2/2 + 15*r.
-r*(r - 5)*(r + 1)*(r + 6)/2
Factor 2*u**5 + 10*u**4 + 14*u**3 + 6*u**2.
2*u**2*(u + 1)**2*(u + 3)
Determine p, given that 2*p**2/11 - 28*p/11 + 26/11 = 0.
1, 13
What is h in -h**3/9 - 13*h**2/9 - 56*h/9 - 80/9 = 0?
-5, -4
Factor -2*x**4/7 - 32*x**3/7 - 24*x**2 - 288*x/7.
-2*x*(x + 4)*(x + 6)**2/7
Factor 12*v**4/7 - 82*v**3/7 - 2*v**2.
2*v**2*(v - 7)*(6*v + 1)/7
Solve 2*m**4 - 318*m**3/7 + 1588*m**2/7 + 2496*m/7 + 576/7 = 0.
-1, -2/7, 12
Factor k**4 - 11*k**3 + 9*k**2 + 119*k + 98.
(k - 7)**2*(k + 1)*(k + 2)
Factor 143*f**4 + 141*f**3 - 2*f**2.
f**2*(f + 1)*(143*f - 2)
Factor z**4/4 - 2*z**3 - 117*z**2/2 + 122*z - 247/4.
(z - 19)*(z - 1)**2*(z + 13)/4
Factor -3*n**4 + 18*n**3 - 12*n**2 - 18*n + 15.
-3*(n - 5)*(n - 1)**2*(n + 1)
Solve -3*r**3 - 78*r**2 = 0.
-26, 0
Factor 4*g**2 - 1528*g + 145924.
4*(g - 191)**2
Factor y**5 + 45*y**4 + 87*y**3 + 43*y**2.
y**2*(y + 1)**2*(y + 43)
Factor -5*k**4 + 6*k**3 + 29*k**2 - 6*k.
-k*(k - 3)*(k + 2)*(5*k - 1)
Determine f so that f**3/4 - 3*f**2/4 + f/2 = 0.
0, 1, 2
Factor -3*k**3 - 3654*k**2 - 1116288*k - 2217984.
-3*(k + 2)*(k + 608)**2
Determine t so that 27*t**5 + 441*t**4 - 1347*t**3 + 471*t**2 + 1320*t - 912 = 0.
-19, -1, 1, 4/3
Solve -28*k**2 - 2392*k - 1020 = 0 for k.
-85, -3/7
Find i, given that -3*i**5 - 4*i**4 + 13*i**3 + 18*i**2 - 4*i - 8 = 0.
-2, -1, 2/3, 2
Determine s so that 4*s**2 - 1348*s + 1344 = 0.
1, 336
Solve -2*o**4 + 107*o**3/2 - 173*o**2/2 - 25*