e y so that 162*y**5/11 + 3492*y**4/11 - 9352*y**3/11 + 3632*y**2/11 - 384*y/11 = 0.
-24, 0, 2/9, 2
Solve 4*o**2 - 4 = 0 for o.
-1, 1
Factor 2*l**4 - 52*l**3 + 450*l**2 - 1512*l + 1728.
2*(l - 12)*(l - 8)*(l - 3)**2
Determine b so that -b**5 + 7*b**3 + 6*b**2 = 0.
-2, -1, 0, 3
Let -i**3 - 55*i**2 + 113*i - 57 = 0. Calculate i.
-57, 1
What is n in -20*n**3 - 55*n**2 + 270*n + 225 = 0?
-5, -3/4, 3
Let -28*x**3 - 12872*x**2 - 9172*x + 3672 = 0. Calculate x.
-459, -1, 2/7
Factor 5*v**3/6 - 439*v**2/6 - 533*v/6 - 89/6.
(v - 89)*(v + 1)*(5*v + 1)/6
Find g such that -2*g**2/13 + 1148*g/13 - 164738/13 = 0.
287
Solve -10*p**4/13 + 68*p**3/13 + 24*p**2/13 - 68*p/13 - 14/13 = 0 for p.
-1, -1/5, 1, 7
Solve -p**5 + 78*p**4 - 1178*p**3 - 13340*p**2 - 30573*p - 18490 = 0 for p.
-5, -2, -1, 43
Solve -2*i**2 - 110*i + 228 = 0 for i.
-57, 2
Determine u so that u**2/2 + 59*u/2 - 426 = 0.
-71, 12
Factor -k**4 + 26*k**3 + 219*k**2 + 396*k.
-k*(k - 33)*(k + 3)*(k + 4)
Factor 2*n**5 + 8*n**4 + 4*n**3 - 8*n**2 - 6*n.
2*n*(n - 1)*(n + 1)**2*(n + 3)
Suppose u**3 - 3*u - 2 = 0. Calculate u.
-1, 2
Determine b so that b**2 + 159*b + 1764 = 0.
-147, -12
Solve r**4/3 - 16*r**3/3 - 12*r**2 = 0 for r.
-2, 0, 18
Factor 2*v**4/7 - 30*v**3/7 + 162*v**2/7 - 54*v + 324/7.
2*(v - 6)*(v - 3)**3/7
What is m in -m**2 + 37*m - 36 = 0?
1, 36
Factor 2*g**4/7 + 400*g**3/7 + 30000*g**2/7 + 1000000*g/7 + 12500000/7.
2*(g + 50)**4/7
Solve 32*g**5 - 2192*g**4 + 40178*g**3 - 90420*g**2 + 54450*g = 0.
0, 5/4, 33
Solve x**2/4 + 9*x = 0 for x.
-36, 0
Solve 420*s**5/23 + 286*s**4/23 - 1810*s**3/23 - 1140*s**2/23 + 520*s/23 - 16/23 = 0.
-2, -1, 1/30, 2/7, 2
Suppose 2*b**2 - 16*b + 14 = 0. What is b?
1, 7
Factor 15*a**5 - 66*a**4 + 24*a**3.
3*a**3*(a - 4)*(5*a - 2)
Factor 2*x**3 + 96*x**2 - 750*x + 1100.
2*(x - 5)*(x - 2)*(x + 55)
Factor -n**4/4 + 53*n**3/2 - 2913*n**2/4 + 1378*n - 676.
-(n - 52)**2*(n - 1)**2/4
Suppose 2*h**3/5 + 8*h**2 + 40*h = 0. Calculate h.
-10, 0
Factor 2*p**3/3 + 758*p**2 + 3024*p + 9064/3.
2*(p + 2)**2*(p + 1133)/3
Solve 2*u**5 + 36*u**4 + 210*u**3 + 400*u**2 = 0 for u.
-8, -5, 0
Factor 2*x**3/7 - 2*x**2/7 - 20*x/7 - 16/7.
2*(x - 4)*(x + 1)*(x + 2)/7
Find t, given that 5*t**2 + 2035*t + 2030 = 0.
-406, -1
Factor i**3/12 - 11*i**2/12 + 19*i/12 - 3/4.
(i - 9)*(i - 1)**2/12
Let -i**4 - 5*i**3 + 31*i**2 + 185*i + 150 = 0. What is i?
-5, -1, 6
Let -2*y**2/5 - 52*y/5 - 338/5 = 0. Calculate y.
-13
Factor -2*o**4/5 + 4792*o**3/5 - 4305612*o**2/5 + 1719374392*o/5 - 257476315202/5.
-2*(o - 599)**4/5
Factor -u**2/2 + 588*u - 172872.
-(u - 588)**2/2
Solve -g**4/7 - 7*g**3 + 153*g**2/7 - 155*g/7 + 52/7 = 0.
-52, 1
Factor -3*j**4 - 192*j**3 + 408*j**2 + 768*j - 1584.
-3*(j - 2)**2*(j + 2)*(j + 66)
Determine f so that 2*f**2/5 - 15956*f/5 + 31824242/5 = 0.
3989
Factor -33*n**3/5 + 291*n**2/5 + 54*n/5.
-3*n*(n - 9)*(11*n + 2)/5
Suppose -2*v**5/9 + 16*v**4/9 - 28*v**3/9 - 40*v**2/9 + 26*v/3 + 8 = 0. What is v?
-1, 3, 4
Solve -t**2 - 248*t + 500 = 0 for t.
-250, 2
Factor 2*w**2/5 - 1176*w/5 + 1174/5.
2*(w - 587)*(w - 1)/5
Determine i, given that 3*i**5/5 - 18*i**4/5 - 24*i**3/5 + 288*i**2/5 - 384*i/5 = 0.
-4, 0, 2, 4
Suppose -w**5/3 - 4*w**4/3 + w**3/3 + 4*w**2/3 = 0. Calculate w.
-4, -1, 0, 1
Suppose 2*f**5/9 + 14*f**4/9 + 14*f**3/9 - 10*f**2/3 = 0. Calculate f.
-5, -3, 0, 1
Factor 2*u**2/7 + 6724*u/7 + 5651522/7.
2*(u + 1681)**2/7
Factor -b**5 + 54*b**4 + 111*b**3 + 56*b**2.
-b**2*(b - 56)*(b + 1)**2
Factor 3*v**2 - 45*v - 1782.
3*(v - 33)*(v + 18)
Factor -324*k**2/7 - 1224*k/7 - 1156/7.
-4*(9*k + 17)**2/7
Factor 2*k**2/5 - 348*k/5 - 704/5.
2*(k - 176)*(k + 2)/5
Factor -2*q**2/13 - 42*q/13 + 44/13.
-2*(q - 1)*(q + 22)/13
Factor 2*j**4 - 38*j**3 + 120*j**2.
2*j**2*(j - 15)*(j - 4)
Factor 3*y**3 + 141*y**2 + 120*y - 828.
3*(y - 2)*(y + 3)*(y + 46)
Factor -5*j**2 + 2582*j - 1032.
-(j - 516)*(5*j - 2)
Factor -2*a**2/5 - 70*a + 352/5.
-2*(a - 1)*(a + 176)/5
Determine j, given that 2*j**4/11 + 124*j**3/11 + 2208*j**2/11 + 2116*j/11 - 170338/11 = 0.
-23, 7
Factor 5*v**2 + 3890*v + 756605.
5*(v + 389)**2
Factor -5*m**3 - 30*m**2 - 25*m.
-5*m*(m + 1)*(m + 5)
Factor 4*p**4 - 40*p**3 - 144*p**2 - 152*p - 52.
4*(p - 13)*(p + 1)**3
Find v, given that v**4/7 - 8*v**3/7 + 17*v**2/7 - 10*v/7 = 0.
0, 1, 2, 5
Factor 3*q**3 - 84*q**2 + 231*q - 150.
3*(q - 25)*(q - 2)*(q - 1)
Find t such that -3*t**4/5 + 31*t**3/5 + 5*t**2 - 31*t/5 - 22/5 = 0.
-1, -2/3, 1, 11
Let 4*v**2 - 26368*v + 43454464 = 0. Calculate v.
3296
Factor -2*y**2 + 4328*y - 2341448.
-2*(y - 1082)**2
Factor c**4/5 - 1123*c**3/5 - c**2/5 + 1123*c/5.
c*(c - 1123)*(c - 1)*(c + 1)/5
What is i in 4*i**5/7 + 24*i**4/7 - 204*i**3/7 + 176*i**2/7 = 0?
-11, 0, 1, 4
Let -z**4/3 - 10*z**3/3 - 32*z**2/3 - 38*z/3 - 5 = 0. Calculate z.
-5, -3, -1
Factor 3*x**3 + 6*x**2 - 87*x + 126.
3*(x - 3)*(x - 2)*(x + 7)
Factor -2*f**2/3 + 1112*f/3 - 2216/3.
-2*(f - 554)*(f - 2)/3
Factor -2*i**3 + 2*i**2 + 100*i + 96.
-2*(i - 8)*(i + 1)*(i + 6)
Determine u, given that 3*u**2 - 2496*u + 519168 = 0.
416
Suppose -2*u**2/5 - 2998*u/5 + 6004/5 = 0. Calculate u.
-1501, 2
Solve a**3/3 - 46*a**2 + 91*a - 136/3 = 0.
1, 136
Let -4*n**2 - 92*n + 96 = 0. Calculate n.
-24, 1
Find j such that 224*j**5 - 152*j**4 - 292*j**3 + 148*j**2 + 68*j + 4 = 0.
-1, -1/4, -1/14, 1
Solve -a**2/4 + 7*a/2 + 18 = 0.
-4, 18
Let 5*i**3 + 240*i**2 - 495*i + 250 = 0. What is i?
-50, 1
What is d in 3*d**5 - 15*d**4 + 21*d**3 + 3*d**2 - 24*d + 12 = 0?
-1, 1, 2
Determine p so that 3*p**3/5 - 36*p/5 + 48/5 = 0.
-4, 2
Let 2*j**2/7 - 90*j/7 + 76 = 0. Calculate j.
7, 38
Suppose -3*d**2 = 0. What is d?
0
Factor -w**2/3 - 2363*w/3 + 4730/3.
-(w - 2)*(w + 2365)/3
Suppose h**4/7 + 8*h**3/7 - 11*h**2/7 - 18*h/7 = 0. Calculate h.
-9, -1, 0, 2
Find z such that -3*z**5 + 27*z**4 - 75*z**3 + 45*z**2 + 78*z - 72 = 0.
-1, 1, 2, 3, 4
Determine z, given that 5*z**2 + 60*z + 55 = 0.
-11, -1
Let 4*g**4 + 16*g**3 - 44*g**2 + 24*g = 0. Calculate g.
-6, 0, 1
Find m, given that 5*m**3 - 960*m**2 + 49680*m - 338560 = 0.
8, 92
Factor 2*m**2/21 - 5560*m/21 + 3864200/21.
2*(m - 1390)**2/21
Determine o so that -6*o**3/13 + 118*o**2/13 - 344*o/13 - 128/13 = 0.
-1/3, 4, 16
Let w**5/6 - 10*w**4/3 + 12*w**3 + 31*w**2/3 - 265*w/6 + 25 = 0. What is w?
-2, 1, 5, 15
Suppose -4*o**4/3 - 116*o**3/3 + 248*o**2/3 = 0. What is o?
-31, 0, 2
Determine h, given that -2*h**2 - 148*h - 2738 = 0.
-37
Find d such that d**2 + 105*d = 0.
-105, 0
What is t in -12*t**3 + 300*t**2 - 291*t + 72 = 0?
1/2, 24
Factor g**4/2 + g**3 - 11*g**2/2 - 6*g + 18.
(g - 2)**2*(g + 3)**2/2
Factor -2*v**3 - 275*v**2 - 1696*v + 917.
-(v + 7)*(v + 131)*(2*v - 1)
Suppose -3*g**4 + 12*g**3 + 36*g**2 = 0. Calculate g.
-2, 0, 6
Suppose -5*b**5/4 + 15*b**4/4 - 5*b**2 = 0. What is b?
-1, 0, 2
Factor -j**3 - j**2 + 114*j - 216.
-(j - 9)*(j - 2)*(j + 12)
Find h, given that 2*h**5 + 140*h**4 + 406*h**3 + 268*h**2 = 0.
-67, -2, -1, 0
Determine f so that 3*f**3/2 - 60*f**2 + 222*f - 216 = 0.
2, 36
Factor 5*s**2 + 440*s + 435.
5*(s + 1)*(s + 87)
Suppose -3*c**3/8 + 333*c**2/8 + 3*c/8 - 333/8 = 0. Calculate c.
-1, 1, 111
Determine j, given that j**2 + 66*j - 207 = 0.
-69, 3
Determine x so that -x**2/4 - 137*x/4 = 0.
-137, 0
Find c, given that -5*c**2 - 480*c - 11520 = 0.
-48
Find w, given that 12*w**2 - 68*w + 96 = 0.
8/3, 3
Factor -f**2/5 + 17*f/5 - 16/5.
-(f - 16)*(f - 1)/5
Factor -2*b**2 + 1372*b + 2752.
-2*(b - 688)*(b + 2)
Solve 2166*o**4/7 - 3648*o**3/7 + 852*o**2/7 + 576*o/7 + 54/7 = 0 for o.
-3/19, 1
Determine t, given that 3*t**4/4 - 27*t**3/4 - 99*t**2/4 - 105*t/4 - 9 = 0.
-1, 12
Factor 5*f**4/6 + 25*f**3/3 - 5*f**2/6 - 25*f/3.
5*f*(f - 1)*(f + 1)*(f + 10)/6
Solve -2*c**5/9 + 64*c**4/9 - 286*c**3/9 + 440*c**2/9 - 24*c = 0.
0, 1, 2, 27
Factor -6*h**2/7 + 2798*h/7 - 932/7.
-2*(h - 466)*(3*h - 1)/7
Find g such that -g**3 - 160*g**2 - 6400*g = 0.
-80, 0
Suppose q**2 + 12*q + 27 = 0. What is q?
-9, -3
Find q such that 18*q**4/5 - 12*q**3 - 336*q**2/5 + 192*q + 768/5 = 0.
-4, -2/3, 4
Solve -14*z**4 - 2250*z**3 + 644*z**2 = 0.
-161, 0, 2/7
Factor -4*i**3/3 - 124*i**2/3 - 236*i/3 - 116/3.
-4*(i + 1)**2*(i + 29)/3
Factor -49*n**4 - 2527*n**3 - 3882*n**2 - 1604*n - 200.
-(n + 1)*(n + 50)*(7*n + 2)**2
What is c in 2*c**4 + 170*c**3 + 4698*c**2 + 38686*c - 97556 = 0?
-29, 2
Suppose 3*p**5/8 