5, -1, 2
Factor 2*l**4/7 - 10*l**3/7 - 2*l**2/7 + 10*l/7.
2*l*(l - 5)*(l - 1)*(l + 1)/7
Suppose 2*g**4/7 + 52*g**3/7 + 370*g**2/7 + 800*g/7 = 0. What is g?
-16, -5, 0
Let 4*n**4 + 560*n**3 + 21204*n**2 + 112024*n + 143648 = 0. Calculate n.
-67, -4, -2
Factor -4*d**3 + 48*d**2 - 188*d + 240.
-4*(d - 5)*(d - 4)*(d - 3)
Factor 2*w**2/21 + 902*w/21.
2*w*(w + 451)/21
Solve 2*y**2 + 74*y + 72 = 0.
-36, -1
What is r in 10*r**5/7 + 94*r**4/7 + 166*r**3/7 - 398*r**2/7 - 680*r/7 - 200/7 = 0?
-5, -1, -2/5, 2
Factor 2*v**5/9 - 22*v**4/9 + 68*v**3/9 + 16*v**2/9 - 320*v/9 + 256/9.
2*(v - 4)**3*(v - 1)*(v + 2)/9
Factor d**5 - 2*d**4 - 11*d**3 + 12*d**2.
d**2*(d - 4)*(d - 1)*(d + 3)
Factor v**4/8 - 13*v**3/4 + 20*v**2 - 36*v.
v*(v - 18)*(v - 4)**2/8
Find g such that -2*g**3/3 - 22*g**2/3 - 20*g/3 = 0.
-10, -1, 0
Factor 5*l**3/2 - 187*l**2/2 + 127*l - 36.
(l - 36)*(l - 1)*(5*l - 2)/2
What is k in -2*k**3/11 - 17232*k**2/11 - 49490304*k/11 - 47378717696/11 = 0?
-2872
Factor -5*w**3 - 915*w**2 + 1845*w - 925.
-5*(w - 1)**2*(w + 185)
Factor -75*v**3 + 330*v**2 - 123*v + 12.
-3*(v - 4)*(5*v - 1)**2
Find a such that -4*a**3 + 8616*a**2 + 17244*a + 8624 = 0.
-1, 2156
Let -4*h**5 + 56*h**4 - 208*h**3 + 264*h**2 - 108*h = 0. Calculate h.
0, 1, 3, 9
Factor -4*a**3 - 128*a**2 - 240*a.
-4*a*(a + 2)*(a + 30)
Let 3*t**3 - 234*t**2 - 2565*t - 6600 = 0. What is t?
-5, 88
Determine x so that -2*x**3/9 - 476*x**2/9 - 28322*x/9 = 0.
-119, 0
Factor 2*k**2 - 360*k + 16200.
2*(k - 90)**2
Factor -2*d**2 - 5980*d - 4470050.
-2*(d + 1495)**2
Factor 20*r**5 - 65*r**4 + 15*r**3.
5*r**3*(r - 3)*(4*r - 1)
Suppose 2*o**3 + 198*o**2 + 196*o = 0. What is o?
-98, -1, 0
Find p such that 2*p**4/7 + 6*p**3/7 + 4*p**2/7 = 0.
-2, -1, 0
Find p, given that p**5/11 + 108*p**4/11 + 107*p**3/11 = 0.
-107, -1, 0
Suppose 529*g**4 + 1242*g**3 + 913*g**2 + 216*g + 16 = 0. What is g?
-1, -4/23
Solve -2*o**3 - 110*o**2 + 228*o = 0 for o.
-57, 0, 2
Let -2*i**5 + 20*i**4/3 - 2*i**3 - 8*i**2 + 8*i/3 = 0. What is i?
-1, 0, 1/3, 2
Solve -2*o**4/7 + 18*o**3/7 - 12*o**2/7 - 32*o/7 = 0.
-1, 0, 2, 8
Determine g, given that 2*g**2/5 + 186*g/5 = 0.
-93, 0
Suppose 51529*m**2 + 11350*m + 625 = 0. What is m?
-25/227
Factor r**2/3 - 12280*r/3 + 37699600/3.
(r - 6140)**2/3
Find r such that r**2 + 11*r = 0.
-11, 0
Let 2*w**4 + 15*w**3/2 - 24*w**2 + 35*w/2 - 3 = 0. What is w?
-6, 1/4, 1
Factor -270*i**2 + 274*i - 4.
-2*(i - 1)*(135*i - 2)
Factor -2*h**3 - 166*h**2 + 180*h + 1008.
-2*(h - 3)*(h + 2)*(h + 84)
Solve -5*d**4/3 - 25*d**3/3 + 90*d**2 + 100*d/3 - 1000/3 = 0.
-10, -2, 2, 5
Factor -2*g**3/7 + 40*g**2/7 - 26*g/7 - 228/7.
-2*(g - 19)*(g - 3)*(g + 2)/7
Factor p**2/4 - 557*p/4.
p*(p - 557)/4
Suppose -u**5 + 81*u**4 + 3*u**3 - 241*u**2 - 162*u = 0. Calculate u.
-1, 0, 2, 81
Let 55*k**4 + 1475*k**3 + 10455*k**2 + 7345*k - 1690 = 0. Calculate k.
-13, -1, 2/11
Suppose -64*f**2/15 + 56*f/15 + 2 = 0. What is f?
-3/8, 5/4
Find i such that i**2 + 23*i - 374 = 0.
-34, 11
Factor -5*l**3/6 + 5*l**2/2 + 5*l/6 - 5/2.
-5*(l - 3)*(l - 1)*(l + 1)/6
Let t**4/2 + 3*t**3/2 - 6*t**2 - 26*t - 24 = 0. What is t?
-3, -2, 4
Let -5*u**3 + 110*u**2 + 5*u - 110 = 0. Calculate u.
-1, 1, 22
Suppose 13*c**4 + 75*c**3/2 + 43*c**2/2 - 3*c = 0. What is c?
-2, -1, 0, 3/26
What is f in -2*f**5 + 4*f**4 - 4*f**2 + 2*f = 0?
-1, 0, 1
Find i, given that i**5/2 - 15*i**4/2 + 59*i**3/2 - 97*i**2/2 + 36*i - 10 = 0.
1, 2, 10
Factor -o**3 + 181*o**2 + o - 181.
-(o - 181)*(o - 1)*(o + 1)
Determine b, given that 3*b**5 + 6*b**4 - 3*b**3 - 6*b**2 = 0.
-2, -1, 0, 1
Determine s, given that -3*s**2/2 + 1439*s/2 - 479 = 0.
2/3, 479
Factor 2*h**2/11 - 4280*h/11 - 4282/11.
2*(h - 2141)*(h + 1)/11
Factor 4*x**4 - 18*x**3 + 28*x**2 - 18*x + 4.
2*(x - 2)*(x - 1)**2*(2*x - 1)
Suppose -3*p**5/5 + 6*p**4 - 15*p**3 = 0. Calculate p.
0, 5
Factor -6*c**4 - 51*c**3 - 114*c**2 - 45*c.
-3*c*(c + 3)*(c + 5)*(2*c + 1)
Solve 3*w**3 - 12*w = 0 for w.
-2, 0, 2
Determine p so that -p**3 + 245*p**2 - 486*p = 0.
0, 2, 243
Determine a so that -10*a**2 + 124*a + 134 = 0.
-1, 67/5
Find l such that -3*l**4 + 387*l**3 - 12672*l**2 + 12288*l = 0.
0, 1, 64
Factor 4*r**4/3 + 24*r**3 + 260*r**2/3.
4*r**2*(r + 5)*(r + 13)/3
Factor -g**2/3 + 9*g.
-g*(g - 27)/3
Factor -4*i**5 - 20*i**4 - 24*i**3 + 8*i**2 + 28*i + 12.
-4*(i - 1)*(i + 1)**3*(i + 3)
Determine d so that -2*d**2/17 - 58*d/17 - 360/17 = 0.
-20, -9
Let -b**4 - 2164*b**3 - 1756086*b**2 - 633361684*b - 85662167761 = 0. What is b?
-541
Factor 2*p**5/11 - 2*p**4 + 54*p**3/11 - 50*p**2/11 + 16*p/11.
2*p*(p - 8)*(p - 1)**3/11
Factor -3*c**3 + 6*c**2.
-3*c**2*(c - 2)
Factor -8*b**4 - 52*b**3 - 66*b**2 - 31*b - 5.
-(b + 5)*(2*b + 1)**3
Factor -5*j**2 + 1785*j - 5310.
-5*(j - 354)*(j - 3)
Let 2*x**4 - 25*x**3 - 105*x**2 - 110*x - 32 = 0. Calculate x.
-2, -1, -1/2, 16
Factor -2*v**3 + 1088*v**2 - 146874*v - 298116.
-2*(v - 273)**2*(v + 2)
Determine u so that -2*u**4 - 6*u**3 + 30*u**2 - 34*u + 12 = 0.
-6, 1
Find y such that 80*y**5/3 - 295*y**4/6 + 55*y**3/3 + 25*y**2/6 = 0.
-5/32, 0, 1
Factor 2*m**2 - 560*m + 39200.
2*(m - 140)**2
Factor -3*g**4 + 9*g**2 + 6*g.
-3*g*(g - 2)*(g + 1)**2
Factor 2*i**4 - 126*i**3 + 1566*i**2 - 6146*i + 4704.
2*(i - 48)*(i - 7)**2*(i - 1)
Suppose -3*x**3 - 141*x**2 + 144*x = 0. Calculate x.
-48, 0, 1
Factor -n**2/4 - 2693*n/2 - 7252249/4.
-(n + 2693)**2/4
What is m in -2*m**5/5 + 4*m**4 + 206*m**3/5 - 224*m**2/5 = 0?
-7, 0, 1, 16
Let -2*r**5/11 + 36*r**3/11 + 8*r**2/11 - 114*r/11 + 72/11 = 0. What is r?
-3, 1, 4
Determine a, given that -2*a**4/7 + 8*a**3/7 + 20*a**2/7 - 8*a + 30/7 = 0.
-3, 1, 5
Find d, given that 2*d**2/7 - 4*d/7 - 30/7 = 0.
-3, 5
Let -552960*m**4 + 34560*m**3 - 720*m**2 + 5*m = 0. Calculate m.
0, 1/48
Suppose 39*z**4 + 342*z**3 - 120*z**2 - 342*z + 81 = 0. What is z?
-9, -1, 3/13, 1
Factor 3*d**3/4 + 5*d**2/4.
d**2*(3*d + 5)/4
Let 2*o**5/11 + 6*o**4/11 + 2*o**3/11 - 6*o**2/11 - 4*o/11 = 0. Calculate o.
-2, -1, 0, 1
Let -4*y**2 - 132*y - 128 = 0. What is y?
-32, -1
Suppose -4*r**2 + 84*r + 520 = 0. Calculate r.
-5, 26
Determine h so that 4*h**2 + 1400*h - 1404 = 0.
-351, 1
Find f such that -2*f**4 - 128*f**3 + 396*f**2 - 400*f + 134 = 0.
-67, 1
Solve a**4/3 + a**3 - 2*a**2/3 - 4*a - 8/3 = 0 for a.
-2, -1, 2
Let 2*y**5/7 + 94*y**4 + 3258*y**3/7 + 5846*y**2/7 + 4540*y/7 + 1296/7 = 0. What is y?
-324, -2, -1
Find v such that -18*v**2 + 44400*v - 27380000 = 0.
3700/3
Factor b**2 + 8*b + 7.
(b + 1)*(b + 7)
Find b, given that b**3 + b**2 - 2*b = 0.
-2, 0, 1
Determine b so that -4*b**2/5 - 10708*b/5 - 10704/5 = 0.
-2676, -1
Find y such that -3*y**4 + 57*y**3 - 153*y**2 - 1353*y + 1452 = 0.
-4, 1, 11
Let -3*r**4 + 504*r**3 - 993*r**2 - 504*r + 996 = 0. What is r?
-1, 1, 2, 166
What is i in -i**2/6 - 77*i/3 - 5929/6 = 0?
-77
Find s, given that 3*s**3 + 117*s**2 - 6006*s - 6120 = 0.
-68, -1, 30
What is f in f**2/6 - 2810*f/3 + 3948050/3 = 0?
2810
Factor b**4/2 - 7*b**3/2 - 14*b**2 - 10*b.
b*(b - 10)*(b + 1)*(b + 2)/2
Factor -8*f**4 - 930*f**3 - 232*f**2.
-2*f**2*(f + 116)*(4*f + 1)
Factor 3*v**5 - 159*v**4 - 330*v**3 - 6*v**2 + 327*v + 165.
3*(v - 55)*(v - 1)*(v + 1)**3
Factor -2*d**3 - 40*d**2 - 154*d + 484.
-2*(d - 2)*(d + 11)**2
Find n, given that -3*n**4/7 + 129*n**3/7 - 123*n**2/7 - 129*n/7 + 18 = 0.
-1, 1, 42
What is i in i**3/3 + 7*i**2/3 + 2*i = 0?
-6, -1, 0
Suppose -4*u**5 + 9*u**4 - 6*u**3 + u**2 = 0. Calculate u.
0, 1/4, 1
Factor m**4 - 17*m**3 - m**2 + 17*m.
m*(m - 17)*(m - 1)*(m + 1)
Solve -2*g**5/11 + 6*g**4/11 + 34*g**3/11 + 18*g**2/11 - 32*g/11 - 24/11 = 0 for g.
-2, -1, 1, 6
Factor -3*a**5/4 + 15*a**4 + 135*a**3/2 + 105*a**2 + 285*a/4 + 18.
-3*(a - 24)*(a + 1)**4/4
Solve -4*p**3 + 28*p**2 - 48*p = 0.
0, 3, 4
Factor l**3/4 + 5*l**2 + 33*l/4 - 153/2.
(l - 3)*(l + 6)*(l + 17)/4
Determine t so that -3*t**4 + 3*t**3 + 12*t**2 - 12*t = 0.
-2, 0, 1, 2
Find y, given that 2*y**5/15 + 64*y**4/15 - 598*y**3/15 + 1636*y**2/15 - 1744*y/15 + 128/3 = 0.
-40, 1, 2, 4
Find r, given that 5*r**3 + 85*r**2 - 290*r + 200 = 0.
-20, 1, 2
Suppose -6*b**5 - 33*b**4 + 27*b**3 + 51*b**2 - 21*b - 18 = 0. Calculate b.
-6, -1, -1/2, 1
Factor -2*b**3/9 - 1390*b**2/9 - 2774*b/9 - 154.
-2*(b + 1)**2*(b + 693)/9
Factor 49*l**3/2 + 301*l**2/2 + 148*l + 40.
(l + 5)*(7*l + 4)**2/2
Factor 3*h**2/5 - 54*h/5 - 57/5.
3*(h - 19)*(h + 1)/