.
2*(u + 15)**2
Suppose 4*m**3 - 156*m**2 - 496*m - 336 = 0. What is m?
-2, -1, 42
Find g, given that -g**4 - g**3 + 22*g**2 - 44*g + 24 = 0.
-6, 1, 2
Let -c**3 + 16*c = 0. Calculate c.
-4, 0, 4
Factor z**3/2 + 7*z**2/2 + 5*z.
z*(z + 2)*(z + 5)/2
Find t, given that 2*t**4/3 + 8*t**3/3 - 182*t**2/3 + 148*t/3 + 112 = 0.
-12, -1, 2, 7
Suppose -3*f**3 + 120*f**2 - 543*f + 630 = 0. What is f?
2, 3, 35
Find l, given that 4*l**5 - 10*l**4 + 8*l**3 - 2*l**2 = 0.
0, 1/2, 1
Find s, given that -2*s**2 + 860*s - 92450 = 0.
215
Find m such that -55*m**5 - 285*m**4 - 270*m**3 - 40*m**2 = 0.
-4, -1, -2/11, 0
Factor -48*g**5 + 648*g**4 - 315*g**3 + 39*g**2.
-3*g**2*(g - 13)*(4*g - 1)**2
Factor -3*c**2/2 - 21*c - 36.
-3*(c + 2)*(c + 12)/2
Let 2*u**4 - 100*u**3 + 1600*u**2 - 8000*u = 0. Calculate u.
0, 10, 20
Factor a**5/2 + 6*a**4 + 51*a**3/2 + 44*a**2 + 24*a.
a*(a + 1)*(a + 3)*(a + 4)**2/2
Solve -5*v**2 + 30*v + 35 = 0 for v.
-1, 7
Factor 5*i**3 + 140*i**2 - 145*i.
5*i*(i - 1)*(i + 29)
Solve -v**2/3 + 46*v/3 - 15 = 0 for v.
1, 45
Factor 4*v**3 - 848*v**2/7 + 6540*v/7 - 1800/7.
4*(v - 15)**2*(7*v - 2)/7
Determine p, given that -15*p**3 - 110*p**2 - 160*p + 160 = 0.
-4, 2/3
What is f in -f**4/6 - 29*f**3/3 + f**2/6 + 29*f/3 = 0?
-58, -1, 0, 1
Determine b, given that -5*b**2 + 9060*b - 4104180 = 0.
906
Suppose 2*v**3/13 - 522*v**2/13 + 45414*v/13 - 1317006/13 = 0. What is v?
87
Factor 5*p**4 - 105*p**3 + 485*p**2 + 825*p - 1210.
5*(p - 11)**2*(p - 1)*(p + 2)
Find q, given that q**4 - 4*q**3 - 13*q**2 + 4*q + 12 = 0.
-2, -1, 1, 6
Solve -3*l**5 - 96*l**4 + 108*l**3 + 294*l**2 - 105*l - 198 = 0.
-33, -1, 1, 2
What is p in -2*p**5/5 + 16*p**4/5 - 10*p**3 + 76*p**2/5 - 56*p/5 + 16/5 = 0?
1, 2
Factor 4*r**5 - 356*r**4 + 7740*r**3 + 8100*r**2.
4*r**2*(r - 45)**2*(r + 1)
Factor -5*s**4 + 90*s**3 + 495*s**2 - 1240*s + 660.
-5*(s - 22)*(s - 1)**2*(s + 6)
Factor 2*o**3/9 - 2*o**2 + 16*o/3 - 32/9.
2*(o - 4)**2*(o - 1)/9
Factor -2*u**3/11 + 2*u**2 + 152*u/11 + 128/11.
-2*(u - 16)*(u + 1)*(u + 4)/11
Let -z**5/2 - 3*z**4/2 + 7*z**3/2 + 11*z**2/2 - 3*z - 4 = 0. Calculate z.
-4, -1, 1, 2
Determine u so that u**4 - u**3 - 8*u**2 + 12*u = 0.
-3, 0, 2
Factor m**2/4 + 3*m/2 - 27/4.
(m - 3)*(m + 9)/4
Solve -4*o**3 - 1776*o**2 - 262848*o - 12967168 = 0 for o.
-148
Factor -3*d**3 + 66*d**2.
-3*d**2*(d - 22)
Factor 9*w**2 + 105*w - 36.
3*(w + 12)*(3*w - 1)
Factor -3*l**2 - 6*l - 3.
-3*(l + 1)**2
Solve -4*k**4 - 108*k**3 - 924*k**2 - 2420*k = 0.
-11, -5, 0
Let 3*d**4 + 933*d**3 = 0. Calculate d.
-311, 0
Factor -2*m**4/13 - 16*m**3/13 - 2*m**2 - 12*m/13.
-2*m*(m + 1)**2*(m + 6)/13
Determine n so that -19*n**5/4 + 401*n**4/4 - 1885*n**3/4 - 2941*n**2/4 + 1232*n - 121 = 0.
-2, 2/19, 1, 11
Solve -12*j**4 - 196*j**3 - 412*j**2 - 284*j - 56 = 0 for j.
-14, -1, -1/3
Factor 3*b**3/4 + 9*b**2/2 + 27*b/4.
3*b*(b + 3)**2/4
Find r, given that -r**2/5 - 49*r/5 - 94/5 = 0.
-47, -2
Let 2*o**5/19 - 136*o**4/19 + 2312*o**3/19 = 0. What is o?
0, 34
Factor -2*k**2 - 30*k - 52.
-2*(k + 2)*(k + 13)
Let 4*y**3/3 + 96*y**2 - 100*y - 584/3 = 0. Calculate y.
-73, -1, 2
Suppose 3*o**3 + 12*o**2 - 33*o + 18 = 0. Calculate o.
-6, 1
Solve 10*c**4 + 175*c**3 + 245*c**2 + 80*c = 0 for c.
-16, -1, -1/2, 0
Factor 3*f**2 + 1299*f.
3*f*(f + 433)
Find f, given that f**4/5 - 9*f**3/5 - 19*f**2/5 + 81*f/5 + 18 = 0.
-3, -1, 3, 10
Factor -4*r**5 - 740*r**4 - 2196*r**3 - 2188*r**2 - 728*r.
-4*r*(r + 1)**3*(r + 182)
Suppose w**5 - 14*w**4 + 34*w**3 - 8*w**2 - 35*w + 22 = 0. Calculate w.
-1, 1, 2, 11
Suppose 2*y**3 + 544*y**2/3 + 890*y/3 = 0. Calculate y.
-89, -5/3, 0
Factor -4*w**4/5 - 92*w**3/5 - 172*w**2/5 - 84*w/5.
-4*w*(w + 1)**2*(w + 21)/5
Solve -2592*l**5 - 144*l**4 + 2590*l**3 + 144*l**2 + 2*l = 0.
-1, -1/36, 0, 1
Suppose -b**5/2 + 32*b**4 - 125*b**3/2 + 31*b**2 = 0. What is b?
0, 1, 62
Factor -4*v**3 + 32*v**2 + 124*v + 88.
-4*(v - 11)*(v + 1)*(v + 2)
Factor 3*i**3 + 186*i**2 + 1728*i - 38880.
3*(i - 10)*(i + 36)**2
Let -5*t**2 - 380*t = 0. What is t?
-76, 0
Solve -18818*d**4/7 + 69064*d**3/7 - 50952*d**2/7 - 22784*d/7 - 2048/7 = 0 for d.
-16/97, 2
Suppose 2*j**5/3 - 2*j**4/3 - 10*j**3 + 10*j**2/3 + 68*j/3 - 16 = 0. Calculate j.
-3, -2, 1, 4
Let 4*a**5 - 16*a**4 - 28*a**3 + 136*a**2 - 96*a = 0. What is a?
-3, 0, 1, 2, 4
Solve 2*r**2/3 - 7606*r/3 + 7604/3 = 0 for r.
1, 3802
Factor 20*m**3 + 132*m**2 + 240*m + 128.
4*(m + 1)*(m + 4)*(5*m + 8)
Let -5*d**2 - 630*d - 19845 = 0. What is d?
-63
Find r, given that 3*r**3 + 36*r**2 - 183*r + 144 = 0.
-16, 1, 3
Suppose y**5 - 8*y**4 + 16*y**3 + 18*y**2 - 81*y + 54 = 0. What is y?
-2, 1, 3
Determine x, given that 6*x**4/5 + 44*x**3/5 + 88*x**2/5 + 16*x/5 - 64/5 = 0.
-4, -2, 2/3
Factor -2*u**2 - 54*u - 364.
-2*(u + 13)*(u + 14)
Factor 12*j**4 - 39*j**3 - 99*j**2 - 33*j + 15.
3*(j - 5)*(j + 1)**2*(4*j - 1)
Factor 4*s**4 - 12*s**2 - 8*s.
4*s*(s - 2)*(s + 1)**2
Determine b, given that -2*b**4 - 8*b**3 + 2*b**2 + 8*b = 0.
-4, -1, 0, 1
Factor -5*r**3/3 + 130*r**2/3 - 245*r/3 + 40.
-5*(r - 24)*(r - 1)**2/3
Find y, given that -2*y**5/3 + 4*y**4 - 10*y**3/3 - 32*y**2/3 + 8*y + 32/3 = 0.
-1, 2, 4
Suppose -18*s**5/11 - 2406*s**4/11 - 77552*s**3/11 + 189864*s**2/11 - 146880*s/11 + 36992/11 = 0. What is s?
-68, 2/3, 1
Factor 5*r**5 - 45*r**3.
5*r**3*(r - 3)*(r + 3)
Solve 215*w**3/2 + 550*w**2 + 480*w = 0.
-4, -48/43, 0
Factor -2*p**4/11 + 36*p**3/11 - 122*p**2/11 - 360*p/11 - 200/11.
-2*(p - 10)**2*(p + 1)**2/11
What is p in 5*p**3 - 270*p**2 - 285*p + 550 = 0?
-2, 1, 55
Determine r so that 4*r**3 - 12*r**2 - 40*r = 0.
-2, 0, 5
Factor -2*g**4/11 - 2*g**3 - 38*g**2/11 - 18*g/11.
-2*g*(g + 1)**2*(g + 9)/11
Solve w**4/3 + 5*w**3/3 + 4*w**2/3 = 0.
-4, -1, 0
Factor -2*o**3/7 + 10*o**2 - 256*o/7 + 248/7.
-2*(o - 31)*(o - 2)**2/7
Factor 120*r**2/7 + 27*r/7.
3*r*(40*r + 9)/7
Find t such that 18*t**4 + 220*t**3 + 678*t**2 + 572*t + 96 = 0.
-8, -3, -1, -2/9
Find d, given that 3*d**2 - 123*d + 120 = 0.
1, 40
Factor 9*h**3/2 - 21*h**2/2 - 17*h/2 - 3/2.
(h - 3)*(3*h + 1)**2/2
Factor -j**3 + 209*j**2 + 2201*j - 2409.
-(j - 219)*(j - 1)*(j + 11)
Suppose -4*f**3/7 + 100*f**2/7 - 528*f/7 + 432/7 = 0. Calculate f.
1, 6, 18
Let 2*j**5 - 12*j**4 + 8*j**3 + 48*j**2 - 64*j = 0. Calculate j.
-2, 0, 2, 4
Determine j, given that 3*j**3 + 15*j**2 + 21*j + 9 = 0.
-3, -1
Solve -3*v**5/4 - 21*v**4/4 + 9*v**3 + 21*v**2 - 24*v = 0.
-8, -2, 0, 1, 2
Factor 145*b**2/4 + 3475*b/2 - 120.
5*(b + 48)*(29*b - 2)/4
Suppose -2*f**5 + 18*f**4 - 52*f**3 + 48*f**2 = 0. What is f?
0, 2, 3, 4
Factor 5*v**2/3 + 110*v/3 + 425/3.
5*(v + 5)*(v + 17)/3
Factor 2*l**3/9 + 14*l**2 + 240*l + 600.
2*(l + 3)*(l + 30)**2/9
Solve m**5 - 7*m**4 + 14*m**3 - 8*m**2 = 0 for m.
0, 1, 2, 4
Factor -2*v**3/9 + 32*v**2/9 - 46*v/3 + 20.
-2*(v - 10)*(v - 3)**2/9
What is u in -2*u**2 + 768*u - 73728 = 0?
192
Let -5*h**5 + 15*h**3 + 10*h**2 = 0. What is h?
-1, 0, 2
Determine j so that 2*j**5/11 - 72*j**4/11 + 84*j**3 - 440*j**2 + 726*j = 0.
0, 3, 11
Factor 2*c**5/7 + 12*c**4/7 - 8*c**3/7 - 68*c**2/7 + 102*c/7 - 40/7.
2*(c - 1)**3*(c + 4)*(c + 5)/7
Factor -4*d**2 + 940*d.
-4*d*(d - 235)
Factor 2*p**2 + 154*p + 444.
2*(p + 3)*(p + 74)
Let j**3 + 127*j**2 + 4136*j + 40172 = 0. Calculate j.
-83, -22
Factor -4*l**3 - 2612*l**2 - 425100*l + 427716.
-4*(l - 1)*(l + 327)**2
Solve -25*o**4 + 170*o**3 + 60*o**2 - 170*o - 35 = 0 for o.
-1, -1/5, 1, 7
Find j such that 4*j**4 - 48*j**3 + 120*j**2 - 112*j + 36 = 0.
1, 9
Let 2*t**3/15 + 218*t**2/15 + 428*t/15 = 0. What is t?
-107, -2, 0
Solve l**3 + 10*l**2 + 28*l + 24 = 0.
-6, -2
Let 4*g**5/7 - 36*g**4/7 + 44*g**3/7 + 100*g**2/7 - 96*g/7 - 16 = 0. What is g?
-1, 2, 7
Determine d, given that -450*d**3/7 + 660*d**2 - 1208*d/7 + 80/7 = 0.
2/15, 10
Let 55*w**2 - 4890*w - 445 = 0. What is w?
-1/11, 89
Factor -3*r**5 - 51*r**4 - 33*r**3 + 1815*r**2.
-3*r**2*(r - 5)*(r + 11)**2
Find g such that 2*g**3/9 + 74*g**2/3 + 146*g/3 + 218/9 = 0.
-109, -1
Factor 5*x**2/2 + 6945*x/2 + 6935.
5*(x + 2)*(x + 1387)/2
Factor -c**4 + 69*c**3 + 3*c**2 - 205*c - 138.
-(c - 69)*(c - 2)*(c + 1)**2
Factor 3*g**4 + 297*g**3 + 7194*g**2 - 8100*g - 15000.
3*(g - 2)*(g + 1)*(g + 50)**2
Factor o**2/4 + 39*o/4 - 10.
(o - 1)*(o + 40)/4
Factor -4*m**3 - 132*m**2 + 144*m + 272.
-4*(m - 2)*(m + 1)*(m + 34)
Factor 3*v**4 - 47*v**3 + 91*v**2/3 - 5*v.
v*(v - 15)*(