
Determine i so that 4*i**2 - 1068*i + 1064 = 0.
1, 266
Let 2*m**5/7 - 46*m**4/7 + 268*m**3/7 + 172*m**2/7 - 2574*m/7 + 2178/7 = 0. Calculate m.
-3, 1, 3, 11
Solve 2*n**2 + 28*n + 48 = 0.
-12, -2
Suppose 4*u**2/3 + 8408*u/3 + 4418404/3 = 0. Calculate u.
-1051
Factor -2*g**2 - 194*g - 744.
-2*(g + 4)*(g + 93)
Find v such that 3*v**2/7 - 39588*v/7 + 130600812/7 = 0.
6598
Solve -9*y**3/5 - 6*y**2 + 15*y = 0 for y.
-5, 0, 5/3
Factor 15*y**5/8 - 3*y**4 - 3*y**3/2.
3*y**3*(y - 2)*(5*y + 2)/8
Find r, given that r**5 + 26*r**4 + 64*r**3 - 118*r**2 - 65*r + 92 = 0.
-23, -4, -1, 1
Factor -o**2 + 186*o - 1253.
-(o - 179)*(o - 7)
Find b, given that -2*b**5/7 + 10*b**4/7 + 2*b**3 - 10*b**2/7 - 12*b/7 = 0.
-1, 0, 1, 6
Suppose 3*z**2/5 + 3*z/5 - 18/5 = 0. Calculate z.
-3, 2
Let -25*c**5 + 85*c**4 + 5595*c**3 + 3275*c**2 - 2210*c = 0. What is c?
-13, -1, 0, 2/5, 17
Determine t so that -21*t**5/5 - 267*t**4/5 - 804*t**3/5 + 1008*t**2/5 + 864*t - 1296/5 = 0.
-6, -3, 2/7, 2
Factor 4*q**3 + 16*q**2 - 20*q.
4*q*(q - 1)*(q + 5)
Solve 18*u**3/23 - 50*u**2/23 - 12*u/23 = 0.
-2/9, 0, 3
Determine i, given that i**4/5 + 12*i**3/5 + 6*i**2 - 20*i - 75 = 0.
-5, 3
Find p such that 2*p**2 - 2768*p + 957728 = 0.
692
Factor 3*c**4 + 33*c**3 + 126*c**2 + 204*c + 120.
3*(c + 2)**3*(c + 5)
Find f such that -4*f**3 - 32*f**2 - 84*f - 72 = 0.
-3, -2
Factor y**3/2 + 23*y**2 - 95*y/2 + 24.
(y - 1)**2*(y + 48)/2
Suppose -2*k**2 + 4*k + 48 = 0. Calculate k.
-4, 6
Factor -s**4/6 - 23*s**3/6 + 16*s**2/3 + 30*s - 48.
-(s - 2)**2*(s + 3)*(s + 24)/6
Suppose 60*p**3 + 81*p**2 - 18*p - 39 = 0. Calculate p.
-1, 13/20
Let -p**2/2 + 44*p + 89/2 = 0. Calculate p.
-1, 89
Factor -w**2 + 7*w - 10.
-(w - 5)*(w - 2)
Factor 2*p**2/9 + 16*p/9 + 10/3.
2*(p + 3)*(p + 5)/9
Factor 3*o**4 + 21*o**3 + 48*o**2 + 36*o.
3*o*(o + 2)**2*(o + 3)
Factor 2*b**2 - 2*b - 112.
2*(b - 8)*(b + 7)
Factor -2*s**5/7 - 94*s**4/7 - 956*s**3/7 + 3452*s**2/7 - 3650*s/7 + 1250/7.
-2*(s - 1)**3*(s + 25)**2/7
Suppose -32*x**3/9 - 80*x**2/3 - 38*x/3 - 14/9 = 0. Calculate x.
-7, -1/4
Suppose 4*r**4 + 10224*r**3 + 9799704*r**2 + 4174673904*r + 666904156164 = 0. Calculate r.
-639
Factor 3*v**2 - 273*v - 846.
3*(v - 94)*(v + 3)
Factor -5*g**3/4 - 17*g**2/4 + 8*g + 11.
-(g - 2)*(g + 1)*(5*g + 22)/4
What is c in 9*c**2/4 + 97*c/4 - 11/2 = 0?
-11, 2/9
Solve 2*f**3/11 - 12*f**2 + 2688*f/11 - 15680/11 = 0 for f.
10, 28
What is y in -4*y**2/5 + 164*y/5 - 32 = 0?
1, 40
Factor -2*s**3 + 26*s**2 - 44*s.
-2*s*(s - 11)*(s - 2)
Factor 2*q**3/7 + 30*q**2/7 - 44*q/7 - 192/7.
2*(q - 3)*(q + 2)*(q + 16)/7
Factor y**4 + 8*y**3 - 360*y**2 + 2592*y - 5616.
(y - 6)**3*(y + 26)
Let 676*m**3 + 52*m**2 - 480*m + 144 = 0. Calculate m.
-1, 6/13
Factor 3*y**2/4 - 369*y/4 - 375/2.
3*(y - 125)*(y + 2)/4
Suppose -2*v**5/5 + 98*v**3/5 - 48*v**2 = 0. What is v?
-8, 0, 3, 5
Find y such that -3*y**3 + 15*y**2 - 6*y - 24 = 0.
-1, 2, 4
Solve 4*z**3/5 - 40*z**2 - 460*z - 1200 = 0 for z.
-5, 60
Let -4*u**2/9 - 52*u/9 + 56/9 = 0. Calculate u.
-14, 1
Factor 3*h**2/5 + 116*h/5 - 119/5.
(h - 1)*(3*h + 119)/5
Suppose -500*k**4 - 3460*k**3 - 23604*k**2/5 + 1972*k/5 - 8 = 0. What is k?
-5, -2, 1/25
What is r in -492*r**5 - 68*r**4 + 360*r**3 - 64*r**2 = 0?
-1, 0, 8/41, 2/3
Factor u**3/5 + 136*u**2/5 + 53*u - 402/5.
(u - 1)*(u + 3)*(u + 134)/5
Suppose l**4/2 - 23*l**3/2 + 119*l**2/2 + 143*l/2 = 0. Calculate l.
-1, 0, 11, 13
Factor -2*v**2 - 4*v.
-2*v*(v + 2)
Solve d**4 + 5*d**3 + 4*d**2 = 0.
-4, -1, 0
Factor m**3/6 - 5*m**2/6 - m/3 + 4.
(m - 4)*(m - 3)*(m + 2)/6
Solve 3*i**5/2 - 3957*i**4/8 - 4473*i**3/4 - 5973*i**2/8 - 249*i/2 = 0 for i.
-1, -1/4, 0, 332
Find l, given that l**3/5 + 208*l**2/5 - 43*l - 1254/5 = 0.
-209, -2, 3
Find o, given that 18*o**3 + 468*o**2 + 4056*o + 35152/3 = 0.
-26/3
Suppose x**2/2 + 16*x = 0. Calculate x.
-32, 0
Find t, given that -2*t**5 + 24*t**4 - 108*t**3 + 216*t**2 - 162*t = 0.
0, 3
Suppose -25*r**4/4 - 5*r**3/4 + 175*r**2/4 - 115*r/4 - 15/2 = 0. What is r?
-3, -1/5, 1, 2
Factor 3*v**4 - 67*v**3/3 + 39*v**2 + 45*v - 126.
(v - 3)**3*(9*v + 14)/3
Let 2*o**3 + 14*o**2 - 20*o - 32 = 0. Calculate o.
-8, -1, 2
Factor 2*x**3/11 - 62*x**2/11 + 118*x/11 - 58/11.
2*(x - 29)*(x - 1)**2/11
Determine p, given that -3*p**3/4 + 9*p**2/8 - 3/8 = 0.
-1/2, 1
Factor -2*w**2/5 - 96*w/5 - 1152/5.
-2*(w + 24)**2/5
Factor -i**4/3 + 2608*i**3/3.
-i**3*(i - 2608)/3
Solve x**5/2 + 21*x**4/4 + 43*x**3/4 + 23*x**2/4 - 9*x/4 - 2 = 0 for x.
-8, -1, 1/2
Factor 2*h**2 - 42*h - 44.
2*(h - 22)*(h + 1)
Factor u**3/5 - 2*u**2/5 - 43*u/5 - 8.
(u - 8)*(u + 1)*(u + 5)/5
Let 14*r**4 + 4*r**3 - 42*r**2 - 40*r - 8 = 0. What is r?
-1, -2/7, 2
Factor 2*k**5/17 - 6*k**4/17 + 4*k**3/17.
2*k**3*(k - 2)*(k - 1)/17
Factor 5*q**4 - 115*q**3 + 315*q**2 - 305*q + 100.
5*(q - 20)*(q - 1)**3
Factor 4*v**5 + 44*v**4 + 172*v**3 + 292*v**2 + 224*v + 64.
4*(v + 1)**3*(v + 4)**2
Factor 4*f**5 - 32*f**4 - 120*f**3 - 128*f**2 - 44*f.
4*f*(f - 11)*(f + 1)**3
Solve -d**4/3 - 8*d**3/3 - 6*d**2 - 16*d/3 - 5/3 = 0.
-5, -1
Solve 3*i**2 - 504*i + 21168 = 0.
84
Find p such that 2*p**2/11 + 4*p/11 + 2/11 = 0.
-1
Solve 20*a**2 - 12*a - 8 = 0 for a.
-2/5, 1
Solve -2*k**2/3 + 30*k + 500/3 = 0.
-5, 50
Determine g so that 2*g**5/19 - 8*g**4/19 + 6*g**3/19 = 0.
0, 1, 3
Let 2*q**2 - 28*q/9 = 0. Calculate q.
0, 14/9
Factor g**4 + 4*g**3 - g**2 - 4*g.
g*(g - 1)*(g + 1)*(g + 4)
Factor -3*y**2/2 + 19*y/4 - 7/2.
-(y - 2)*(6*y - 7)/4
Factor -2*a**3/5 - 2*a**2/5.
-2*a**2*(a + 1)/5
Factor 5*f**2 - 5*f.
5*f*(f - 1)
Factor l**4/4 + 15*l**3/4 - 24*l**2 + 20*l.
l*(l - 4)*(l - 1)*(l + 20)/4
What is l in 2*l**3/3 - 8*l/3 = 0?
-2, 0, 2
Find x, given that 4*x**4 + 36*x**3 + 100*x**2 + 108*x + 40 = 0.
-5, -2, -1
What is p in 2*p**5/11 - 12*p**4/11 - 6*p**3/11 + 40*p**2/11 - 24*p/11 = 0?
-2, 0, 1, 6
Factor -h**2 + 2646*h - 1750329.
-(h - 1323)**2
Factor s**4/5 + 71*s**3/5 - 373*s**2/5 + 529*s/5 - 228/5.
(s - 3)*(s - 1)**2*(s + 76)/5
Factor -d**4/8 + 5*d**3/2 - 81*d**2/8 + 45*d/4.
-d*(d - 15)*(d - 3)*(d - 2)/8
Factor -3*x**4/7 - 6*x**3/7 + 108*x**2/7 - 264*x/7 + 192/7.
-3*(x - 2)**3*(x + 8)/7
Factor z**4/11 - 17*z**3/11 - 58*z**2/11 - 40*z/11.
z*(z - 20)*(z + 1)*(z + 2)/11
Let -5*h**5 + 5*h**3 = 0. What is h?
-1, 0, 1
Solve 4*u**4 + 80*u**3 + 396*u**2 - 80*u - 400 = 0 for u.
-10, -1, 1
Determine m so that -m**2 - 32*m + 144 = 0.
-36, 4
Suppose -9*x**4 - 60*x**3 - 135*x**2 - 120*x - 36 = 0. What is x?
-3, -2, -1, -2/3
Let -6*m**2/7 - 108*m/7 - 192/7 = 0. Calculate m.
-16, -2
Suppose -18*x**4/7 - 6*x**3/7 + 18*x**2/7 + 6*x/7 = 0. Calculate x.
-1, -1/3, 0, 1
Factor 5*t**3 + 5*t**2 - 100*t.
5*t*(t - 4)*(t + 5)
Solve h**2/6 + 754*h/3 + 284258/3 = 0 for h.
-754
Let -2*o**3/15 - 32*o**2/3 + 326*o/15 - 164/15 = 0. Calculate o.
-82, 1
Solve -2*q**2/9 - 5512*q/9 - 3797768/9 = 0 for q.
-1378
Factor -5*j**3 + 650*j**2 - 1285*j + 640.
-5*(j - 128)*(j - 1)**2
Factor -4*t**2 - 384*t - 1116.
-4*(t + 3)*(t + 93)
Let 2*s**2/9 + 62*s/9 - 40 = 0. What is s?
-36, 5
Solve 3*a**3 - 12*a**2 + 12*a = 0 for a.
0, 2
Find d, given that -3*d**2 + 16*d - 5 = 0.
1/3, 5
Factor 2*i**3/7 + 18*i**2/7 - 8*i/7 - 72/7.
2*(i - 2)*(i + 2)*(i + 9)/7
Factor d**4/6 + 209*d**3/3 + 14699*d**2/2 + 43472*d/3 + 21632/3.
(d + 1)**2*(d + 208)**2/6
Factor 195*d**4 - 3*d**3.
3*d**3*(65*d - 1)
Factor -n**4/4 - 7*n**3/4 + 2*n**2.
-n**2*(n - 1)*(n + 8)/4
Factor 4*u**4/7 + 20*u**3/7 - 24*u**2/7.
4*u**2*(u - 1)*(u + 6)/7
Determine f so that 9*f**5/2 + 43*f**4/2 + 4*f**3 - 92*f**2 - 88*f + 24 = 0.
-3, -2, 2/9, 2
Find w such that 2*w**3 + 16*w**2 + 40*w + 32 = 0.
-4, -2
Factor -l**2 + 1976*l + 1977.
-(l - 1977)*(l + 1)
Determine x so that 5*x**5 + 180*x**4 + 2380*x**3 + 13230*x**2 + 20655*x - 36450 = 0.
-10, -9, 1
Factor -5*m**4 - 80*m**3 + 180*m**2.
-5*m**2*(m - 2)*(m + 18)
What is x in -2*x**3 - 208*x**2 - 4394*x - 26364 = 0?
-78, -13
Solve -3*h**5/2 + 27*h**4 - 126*h**3 + 231*h**2 - 369*h/2 + 54 = 0 for h.
1, 3, 12
Factor 5*n**2 + 330*n - 6560.
5*(n - 16)*(n + 82)
Solve 3*v**3/5 + 33*v**2/5 + 84*v/5 = 0 for v.
-7, -4, 0
Let -o**4 - 104*o**3 - 3718*o**2 - 52728*o - 257049 = 0. What is o?
-39, -13
Factor -4*m**5 - 28*m**4 - 76*m**3 - 100*m**2 - 64*m - 16.
-4*(m + 1)**3*(m + 2)**2
Determine m, given that -2*m**3/5 + 6*m**2/5 + 8*m/5 = 0.
-1, 0, 4
Solve 40*g**5 + 295*g**4 - 2535*g**3 + 4930*g**2 