96 = 0. What is u?
-24, -4, 1
Suppose -5*r**4 + 15*r**3 - 20*r = 0. Calculate r.
-1, 0, 2
Suppose -2*b**5/3 + 86*b**4/3 + 278*b**3/3 - 86*b**2/3 - 92*b = 0. Calculate b.
-3, -1, 0, 1, 46
Solve c**2 - 54*c + 729 = 0.
27
Determine q so that -2*q**5/5 - 14*q**4/5 + 2*q**3/5 + 14*q**2/5 = 0.
-7, -1, 0, 1
Solve 3*t**5 - 24*t**4 - 3*t**3 + 24*t**2 = 0.
-1, 0, 1, 8
Factor 3*p**5 + 156*p**4 + 2304*p**3 + 6912*p**2.
3*p**2*(p + 4)*(p + 24)**2
Factor p**2/9 - 122*p/9 + 805/9.
(p - 115)*(p - 7)/9
Determine l, given that -245*l**2 + 2100*l - 4500 = 0.
30/7
What is l in -2*l**4/3 + 82*l**3/3 + 120*l**2 = 0?
-4, 0, 45
Find i, given that -5*i**2 + 295*i + 610 = 0.
-2, 61
Factor 2*x**2/9 + 88*x/9 + 70.
2*(x + 9)*(x + 35)/9
Factor 3*y**2 - 72*y + 432.
3*(y - 12)**2
Factor -c**3 + 9*c**2 - 14*c.
-c*(c - 7)*(c - 2)
Factor -i**4 - 103*i**3 - 302*i**2 - 200*i.
-i*(i + 1)*(i + 2)*(i + 100)
Solve -25*p**4 + 65*p**3 + 30*p**2 - 100*p - 40 = 0 for p.
-1, -2/5, 2
Factor z**2/5 - 13*z/5.
z*(z - 13)/5
Factor -3*w**4 + 198*w**3 + 648*w**2 - 1782*w - 5589.
-3*(w - 69)*(w - 3)*(w + 3)**2
Factor -5*g**2 - 80*g - 315.
-5*(g + 7)*(g + 9)
Suppose o**4/3 + 949*o**3/3 + 75523*o**2 + 673079*o/3 + 447458/3 = 0. What is o?
-473, -2, -1
Suppose -6*b**5/13 - 134*b**4/13 - 770*b**3/13 - 242*b**2/13 = 0. What is b?
-11, -1/3, 0
Factor 2*w**2 - 1344*w + 225792.
2*(w - 336)**2
Find i such that -4*i**5 + 40*i**4 + 156*i**3 - 2576*i**2 + 6272*i = 0.
-8, 0, 4, 7
Factor -2*f**2 + 20*f/9.
-2*f*(9*f - 10)/9
Solve 2*d**4 + 12*d**3 + 18*d**2 - 8*d - 24 = 0.
-3, -2, 1
Factor 2*c**4/7 + 634*c**3/7 + 632*c**2/7.
2*c**2*(c + 1)*(c + 316)/7
Suppose t**3 - 19*t**2 + 60*t = 0. What is t?
0, 4, 15
Suppose -4*q**3 - 160*q**2 + 692*q - 528 = 0. What is q?
-44, 1, 3
Factor -n**3 + 1695*n**2 - 957675*n + 180362125.
-(n - 565)**3
Factor -5*i**3 - 390*i**2 - 745*i + 1140.
-5*(i - 1)*(i + 3)*(i + 76)
Solve 2*j**2/11 + 160*j/11 + 158/11 = 0 for j.
-79, -1
Factor -4*c**2 + 28*c - 40.
-4*(c - 5)*(c - 2)
Determine g so that 3*g**4 - 48*g**3 - 1494*g**2 - 6480*g + 8019 = 0.
-9, 1, 33
What is l in 2*l**3/9 + 74*l**2/9 - 320*l/9 + 328/9 = 0?
-41, 2
Factor 3*i**2 - 54*i + 231.
3*(i - 11)*(i - 7)
Factor -d**5 + 9*d**4 - 30*d**3 + 46*d**2 - 33*d + 9.
-(d - 3)**2*(d - 1)**3
Suppose -3*y**3 - 57*y**2 - 270*y - 216 = 0. What is y?
-12, -6, -1
Find y, given that -165*y**4 - 485*y**3 - 465*y**2 - 135*y + 10 = 0.
-1, 2/33
Determine w, given that -60*w**4 + 441*w**3 + 306*w**2 + 48*w = 0.
-2/5, -1/4, 0, 8
Factor 4*j**3 - 446*j**2 - 226*j + 224.
2*(j - 112)*(j + 1)*(2*j - 1)
Find t, given that -15*t**2 + 51*t/4 - 9/4 = 0.
1/4, 3/5
Let 2*k**3 + 12*k**2 + 10*k - 24 = 0. Calculate k.
-4, -3, 1
Determine c, given that c**2/8 + 5*c/4 - 3 = 0.
-12, 2
Determine q, given that -q**2 - 10212*q - 26071236 = 0.
-5106
Suppose -2*q**2/5 - 82*q/5 + 84/5 = 0. Calculate q.
-42, 1
Let 3*k**4 - 47*k**3 + 171*k**2 - 193*k + 66 = 0. Calculate k.
2/3, 1, 3, 11
Determine m so that 4*m**3 + 64*m**2 + 300*m + 432 = 0.
-9, -4, -3
Find v, given that -v**2/7 - 8*v/7 + 20/7 = 0.
-10, 2
Factor 2*h**2/7 + 432*h/7 - 62.
2*(h - 1)*(h + 217)/7
Factor v**4/5 - 96*v**3 + 58078*v**2/5 - 22944*v + 57121/5.
(v - 239)**2*(v - 1)**2/5
Factor 2*k**3 - 64*k**2 + 512*k.
2*k*(k - 16)**2
Factor 55*h**3 - 20120*h**2 + 1838235*h + 334890.
5*(h - 183)**2*(11*h + 2)
Factor -18*d**3 + 151*d**2 - 335*d + 132.
-(d - 3)*(2*d - 1)*(9*d - 44)
Determine o so that o**2/3 - 6*o + 32/3 = 0.
2, 16
Suppose 2*j**4 - 4*j**2 + 2 = 0. Calculate j.
-1, 1
Let -2*x**3/3 + 172*x**2/3 - 1288*x + 2352 = 0. Calculate x.
2, 42
Factor -5*t**4 + 80*t**3 - 320*t**2.
-5*t**2*(t - 8)**2
Suppose 500*s**4 + 1800*s**3 - 6255*s**2 + 5425*s - 1470 = 0. Calculate s.
-6, 7/10, 1
Factor -8*j**3 - 54*j**2 - 76*j - 30.
-2*(j + 1)*(j + 5)*(4*j + 3)
Find x, given that -4*x**3 - 164*x**2 - 1596*x + 1764 = 0.
-21, 1
Factor 4*g**2/7 + 12*g - 88/7.
4*(g - 1)*(g + 22)/7
Find o, given that -4*o**2 - 1576*o - 155236 = 0.
-197
Factor 5*g**3 - 55*g**2 + 130*g - 80.
5*(g - 8)*(g - 2)*(g - 1)
Determine s so that -4*s**4/5 - 108*s**3/5 + 348*s**2/5 - 356*s/5 + 24 = 0.
-30, 1
Find s, given that -26*s**3 + 8*s**2 - 8*s/13 = 0.
0, 2/13
Factor 48*a**3 - 1272*a**2 + 1827*a - 675.
3*(a - 25)*(4*a - 3)**2
Factor 2*o**2/5 - 1724*o/5 + 371522/5.
2*(o - 431)**2/5
Factor -p**4/7 - 4*p**3/7 - 3*p**2/7.
-p**2*(p + 1)*(p + 3)/7
Factor -s**4/4 - 81*s**3/4 - 313*s**2/4 - 387*s/4 - 77/2.
-(s + 1)**2*(s + 2)*(s + 77)/4
Factor 6*g**2/5 + 422*g/5 - 284/5.
2*(g + 71)*(3*g - 2)/5
Factor o**4/4 + 11*o**3/4 + 27*o**2/4 + 25*o/4 + 2.
(o + 1)**3*(o + 8)/4
Factor -2*w**2/5 + 484*w/5 - 29282/5.
-2*(w - 121)**2/5
Suppose 2*c**5/3 + 14*c**4/3 + 10*c**3 + 6*c**2 = 0. Calculate c.
-3, -1, 0
Solve -18*b**4/5 - 240*b**3 - 24524*b**2/5 - 30160*b - 284258/5 = 0.
-29, -13/3
Determine p so that -p**4 + 80*p**3 - 2400*p**2 + 32000*p - 160000 = 0.
20
Suppose 2*x**3/9 - 26*x**2/9 + 26*x/3 - 6 = 0. What is x?
1, 3, 9
Factor -d**3 - 7489*d**2 - 14017535*d + 14025025.
-(d - 1)*(d + 3745)**2
Factor -3*j**4/2 + 6*j**3 + 21*j**2/2 - 15*j.
-3*j*(j - 5)*(j - 1)*(j + 2)/2
What is r in -r**2/3 - 809*r/3 + 1622/3 = 0?
-811, 2
Factor -3*u**2 + 162*u - 2187.
-3*(u - 27)**2
Factor 5*j**4 + 75*j**3 + 135*j**2 - 1215*j.
5*j*(j - 3)*(j + 9)**2
Solve -5*c**4 - 955*c**3 - 45120*c**2 + 46080*c = 0 for c.
-96, 0, 1
Factor 2*j**3/3 + 36*j**2 + 310*j/3 + 68.
2*(j + 1)*(j + 2)*(j + 51)/3
Factor -i**4/3 - 16*i**3/3 + 17*i**2/3.
-i**2*(i - 1)*(i + 17)/3
Suppose 35*r**4/3 + 100*r**3/3 + 55*r**2/3 - 10*r/3 = 0. Calculate r.
-2, -1, 0, 1/7
Factor -5*a**3 - 925*a**2 + 3760*a - 3780.
-5*(a - 2)**2*(a + 189)
Solve -9*r**5 + 453*r**4 - 135*r**3 - 753*r**2 + 144*r + 300 = 0.
-1, -2/3, 1, 50
Factor -r**3/4 - 41*r**2/2 - 161*r/4 - 20.
-(r + 1)**2*(r + 80)/4
Factor 3*u**3/7 + 15*u**2 + 204*u/7 - 384.
3*(u - 4)*(u + 7)*(u + 32)/7
Factor -5*f**2 + 3320*f + 6660.
-5*(f - 666)*(f + 2)
Solve 3*l**5/5 + 6*l**4/5 - 9*l**3 + 12*l**2/5 + 12*l = 0.
-5, -1, 0, 2
Determine f so that -8*f**4 + 40*f**3 + 6*f**2 - 28*f - 10 = 0.
-1/2, 1, 5
Suppose -2*c**2 - 24672*c - 76088448 = 0. Calculate c.
-6168
Factor -3*m**2/4 - 207*m - 825/4.
-3*(m + 1)*(m + 275)/4
Factor -v**3/3 - 60*v**2 - 3600*v - 72000.
-(v + 60)**3/3
Factor -3*z**3 - 2394*z**2 - 636804*z - 56463288.
-3*(z + 266)**3
Factor -4*h**3 - 20*h**2 + 192*h + 1008.
-4*(h - 7)*(h + 6)**2
Find s, given that s**4/6 - 3*s**3 - 83*s**2/6 - 18*s - 22/3 = 0.
-2, -1, 22
Factor 3*h**2 + 54*h + 96.
3*(h + 2)*(h + 16)
Find g such that 3*g**4/5 - 9*g**3/5 - 12*g**2/5 = 0.
-1, 0, 4
Factor -4*h**5/7 + 24*h**3/7 - 32*h**2/7 + 12*h/7.
-4*h*(h - 1)**3*(h + 3)/7
Solve 2*i**4 + 8*i**3 - 14*i**2 - 68*i - 48 = 0 for i.
-4, -2, -1, 3
Solve -4*g**2 - 196*g - 192 = 0.
-48, -1
Let 2*l**4/21 - 4*l**3/3 + 2*l**2/7 + 244*l/21 + 208/21 = 0. Calculate l.
-2, -1, 4, 13
Factor -5*x**2 + 260*x + 265.
-5*(x - 53)*(x + 1)
Let 5*w**5 + 137*w**4 + 49*w**3 - 137*w**2 - 54*w = 0. Calculate w.
-27, -1, -2/5, 0, 1
Factor -64*r**4 + 1248*r**3 - 612*r**2 + 76*r.
-4*r*(r - 19)*(4*r - 1)**2
Factor -2*d**3 + 8*d**2 + 90*d.
-2*d*(d - 9)*(d + 5)
Solve -4*s**3 - 788*s**2 - 3856*s - 3072 = 0.
-192, -4, -1
Suppose -6*o**4 + 86*o**3 - 24*o**2 - 56*o = 0. What is o?
-2/3, 0, 1, 14
Factor -h**3/2 + 7*h**2 - 33*h/2.
-h*(h - 11)*(h - 3)/2
Let -9*a**5 - 87*a**4 - 126*a**3 + 318*a**2 + 135*a - 231 = 0. What is a?
-7, -11/3, -1, 1
Solve -4*a**3 - 4*a**2 + 80*a = 0.
-5, 0, 4
Suppose -n**3/7 - 13*n**2/7 - 12*n/7 = 0. What is n?
-12, -1, 0
Factor -2*g**4 + 6*g**3 - 4*g**2.
-2*g**2*(g - 2)*(g - 1)
Factor 5*x**3/4 - 7*x**2/4 + x/2.
x*(x - 1)*(5*x - 2)/4
Determine u, given that 2*u**4 - 78*u**3 + 794*u**2 - 570*u - 1444 = 0.
-1, 2, 19
Let 12*g**3 + 44*g**2 - 16*g = 0. What is g?
-4, 0, 1/3
Find i, given that -2*i**2/7 + 194*i/7 - 920/7 = 0.
5, 92
Factor w**4 - 56*w**3 + 162*w**2 - 160*w + 53.
(w - 53)*(w - 1)**3
Solve j**4 - 61*j**3 - 4*j**2 + 244*j = 0.
-2, 0, 2, 61
Solve 5*u**5 - 35*u**4 + 40*u**3 + 80*u**2 = 0.
-1, 0, 4
Suppose -16*u**3/7 - 600*u**2/7 - 297*u/7 - 37/7 = 0. Calculate u.
-37, -1/4
Suppose 21*s**2/5 + 51078*s/5 + 14592/5 = 0. Calculate s.
-2432, -2/7
Solve 4*x**4 - 68*x**3 + 92*x**2 + 404*x + 240 = 0.
-1, 4, 15
Factor -4*q**4/5 + 48*q**3/5 - 84*q**2/5 + 8*q.
-4*q*(q - 10)*(q - 1)**2/5
Factor -105*q**2 - 219*q -