o**2/3 + 144*o + 7776.
2*(o + 108)**2/3
Factor -4*c**3/7 + 3576*c**2/7 - 10700*c/7 + 7128/7.
-4*(c - 891)*(c - 2)*(c - 1)/7
Factor 5*c**3 - 125*c**2 + 375*c + 5625.
5*(c - 15)**2*(c + 5)
Determine h, given that -h**3/5 - 57*h**2 - 1128*h/5 - 1124/5 = 0.
-281, -2
Factor x**4 + 17*x**3 + 31*x**2 + 15*x.
x*(x + 1)**2*(x + 15)
Factor 3*f**4 + 72*f**3 - 78*f**2 - 72*f + 75.
3*(f - 1)**2*(f + 1)*(f + 25)
Factor 2*g**2/5 + 28*g/5 + 18.
2*(g + 5)*(g + 9)/5
Factor w**2/2 - 7*w/2 - 4.
(w - 8)*(w + 1)/2
Factor q**4 - 44*q**3 + 594*q**2 - 2356*q + 1805.
(q - 19)**2*(q - 5)*(q - 1)
Factor -3*o**3 - 24*o**2 + 252*o.
-3*o*(o - 6)*(o + 14)
Solve -20*m**4 + 294*m**3 - 190*m**2 - 84*m = 0 for m.
-3/10, 0, 1, 14
Solve 3*x**5 - 33*x**4 + 129*x**3 - 207*x**2 + 108*x = 0 for x.
0, 1, 3, 4
Solve 4*n**2 - 2196*n + 4376 = 0.
2, 547
Factor 2*y**2 - 30776*y + 118395272.
2*(y - 7694)**2
Factor g**4 - 33*g**3 - 182*g**2 - 300*g - 152.
(g - 38)*(g + 1)*(g + 2)**2
Factor 2*z**4/5 + 38*z**3 - 394*z**2/5 - 582*z/5.
2*z*(z - 3)*(z + 1)*(z + 97)/5
Factor -4*h**5 - 232*h**4 - 1296*h**3 - 2536*h**2 - 2092*h - 624.
-4*(h + 1)**3*(h + 3)*(h + 52)
Let 3*b**3 - 12*b = 0. What is b?
-2, 0, 2
Factor 5*c**4 + 35*c**3 - 190*c**2 - 1020*c - 1080.
5*(c - 6)*(c + 2)**2*(c + 9)
Factor 4*z**3 - 2300*z**2 + 9152*z - 9136.
4*(z - 571)*(z - 2)**2
Factor d**5 + 9*d**4 + 30*d**3 + 46*d**2 + 33*d + 9.
(d + 1)**3*(d + 3)**2
Factor 5*x**2 - 170*x.
5*x*(x - 34)
Suppose -2*p**4 + 38*p**3 - 128*p**2 + 120*p = 0. What is p?
0, 2, 15
Factor 18*v**4 - 66*v**3 - 4*v**2 + 104*v + 48.
2*(v - 3)*(v - 2)*(3*v + 2)**2
Factor -4*m**4 + 12*m**2 - 8*m.
-4*m*(m - 1)**2*(m + 2)
Factor -5*x**5/2 + 10875*x**4/2 - 21725*x**3 + 32575*x**2 - 43425*x/2 + 10855/2.
-5*(x - 2171)*(x - 1)**4/2
Determine x, given that 7*x**4/4 - 6*x**3 + 15*x**2/2 - 4*x + 3/4 = 0.
3/7, 1
Factor 5*g**2 + 660*g + 21780.
5*(g + 66)**2
Factor -a**2/4 + 53*a/4 + 42.
-(a - 56)*(a + 3)/4
Factor -6*d**2 + 3664*d - 2440.
-2*(d - 610)*(3*d - 2)
Find v such that 4*v**4 - 172*v**3 + 1932*v**2 - 1764*v = 0.
0, 1, 21
Solve 2*i**3/3 + 2*i**2 + 2*i + 2/3 = 0.
-1
Determine a, given that -3*a**2/4 - 45*a/8 - 21/8 = 0.
-7, -1/2
What is b in 3*b**4 + 756*b**3 + 753*b**2 = 0?
-251, -1, 0
Let 7*j**3 - 26*j**2 - 43*j - 10 = 0. What is j?
-1, -2/7, 5
Factor -h**4/2 - 33*h**3/2.
-h**3*(h + 33)/2
Factor -3*o**4/4 - 2631*o**3/4.
-3*o**3*(o + 877)/4
Suppose -2*b**2/17 - 2088*b/17 - 544968/17 = 0. What is b?
-522
Factor -10*v**4 - 138*v**3 - 422*v**2 + 90*v.
-2*v*(v + 5)*(v + 9)*(5*v - 1)
Solve 22*r**4/7 + 172*r**3/7 + 386*r**2/7 + 188*r/7 - 48/7 = 0.
-4, -3, -1, 2/11
Factor -3*x**3 - 111*x**2 + 120*x + 228.
-3*(x - 2)*(x + 1)*(x + 38)
Solve -4*k**3 + 56*k**2 - 240*k + 288 = 0 for k.
2, 6
Suppose 3*k**4 + 6534*k**3 + 3551223*k**2 - 7122060*k + 3564300 = 0. What is k?
-1090, 1
Factor 4*u**5 - 16*u**4 + 8*u**3 + 16*u**2 - 12*u.
4*u*(u - 3)*(u - 1)**2*(u + 1)
Suppose 2*c**5/9 + 10*c**4/9 - 40*c**2/9 - 32*c/9 = 0. Calculate c.
-4, -2, -1, 0, 2
Factor d**4 + 3*d**3 - 3*d**2 - 7*d + 6.
(d - 1)**2*(d + 2)*(d + 3)
Factor 2*c**4 - 16*c**3 + 12*c**2 + 80*c + 50.
2*(c - 5)**2*(c + 1)**2
What is a in -2178*a**4 - 132*a**3 + 526*a**2 + 16*a - 32 = 0?
-4/11, 1/3
Suppose -5*v**5 - 655*v**4 + 1330*v**3 = 0. What is v?
-133, 0, 2
Solve z**3/5 - 3*z**2/5 - 24*z/5 + 16 = 0.
-5, 4
Let -f**3/3 + 2*f**2 - 11*f/3 + 2 = 0. What is f?
1, 2, 3
Factor -2*q**4/11 + 760*q**3/11 - 2268*q**2/11 + 2264*q/11 - 754/11.
-2*(q - 377)*(q - 1)**3/11
Factor 2*x**2/3 - 122*x/3.
2*x*(x - 61)/3
Find t, given that 20*t**2 - 472*t + 276 = 0.
3/5, 23
What is o in 2*o**2 + 2208*o + 6606 = 0?
-1101, -3
Determine o so that -2*o**4/7 + 10*o**2/7 - 8/7 = 0.
-2, -1, 1, 2
Factor 4*g**3 + 772*g**2 + 25724*g - 1188100.
4*(g - 25)*(g + 109)**2
What is v in 4*v**4 - 176*v**3 + 1812*v**2 + 2360*v - 4000 = 0?
-2, 1, 20, 25
Let -p**3/3 + 4081*p**2/3 - 4161599*p/3 - 4165681/3 = 0. What is p?
-1, 2041
Determine o so that 24*o**4 + 28*o**3 - 116*o**2 + 52*o + 12 = 0.
-3, -1/6, 1
Suppose -t**4/5 - 42*t**3/5 - 397*t**2/5 + 924*t/5 - 484/5 = 0. What is t?
-22, 1
Suppose -3*c**2/5 + 507*c + 2538/5 = 0. What is c?
-1, 846
Factor 5*r**2 - 1410*r - 1415.
5*(r - 283)*(r + 1)
Factor -a**2/4 + 4305*a/2 - 18533025/4.
-(a - 4305)**2/4
Factor -2*g**2/9 - 2060*g/9 - 530450/9.
-2*(g + 515)**2/9
Factor -4*n**2 - 1060*n.
-4*n*(n + 265)
Determine u, given that u**2 - 326*u + 26569 = 0.
163
Determine n so that n**2 - 52*n + 51 = 0.
1, 51
Factor -4*m**4/3 + 600*m**3 - 200692*m**2/3 - 135600*m - 204304/3.
-4*(m - 226)**2*(m + 1)**2/3
What is s in -4*s**3/7 + 44*s**2 - 1180*s/7 + 876/7 = 0?
1, 3, 73
Solve -2*t**2/7 - 8156*t/7 - 8315042/7 = 0.
-2039
Solve h**2/2 + 214*h - 430 = 0.
-430, 2
Factor 3*q**2/2 + 10638*q + 18861174.
3*(q + 3546)**2/2
Factor -k**3/7 - 17*k**2/7 + 64*k/7 + 80/7.
-(k - 4)*(k + 1)*(k + 20)/7
Let -3*f**4/5 + 3*f**3/5 + 9*f**2/5 - 3*f/5 - 6/5 = 0. What is f?
-1, 1, 2
Suppose -2*b**2 + 52*b + 240 = 0. Calculate b.
-4, 30
Solve 3*s**3 - 69*s**2 = 0 for s.
0, 23
Factor -d**2/3 + 62*d.
-d*(d - 186)/3
Factor -n**2/4 - 21*n - 243/4.
-(n + 3)*(n + 81)/4
Factor 10*i**4 + 85*i**3 + 110*i**2 + 35*i.
5*i*(i + 1)*(i + 7)*(2*i + 1)
Solve -q**3/3 + 212*q**2/3 - 1648*q/3 + 1088 = 0 for q.
4, 204
Factor -2*s**4 + 172*s**3 - 3514*s**2 - 8272*s + 11616.
-2*(s - 44)**2*(s - 1)*(s + 3)
Factor -k**2/2 - 186*k - 370.
-(k + 2)*(k + 370)/2
Factor o**3/3 - 40*o**2 + 700*o - 10000/3.
(o - 100)*(o - 10)**2/3
Let -v**3/3 - 53*v**2/3 + 56*v/3 + 36 = 0. Calculate v.
-54, -1, 2
Suppose 2*v**5/3 + 110*v**4/9 + 404*v**3/9 - 920*v**2/9 + 400*v/9 = 0. What is v?
-10, 0, 2/3, 1
Suppose w**5/7 - 2*w**4/7 + 2*w**2/7 - w/7 = 0. Calculate w.
-1, 0, 1
Let g**2/3 + 353*g/3 - 356 = 0. What is g?
-356, 3
Let -4*f**2 - 7460*f + 14936 = 0. Calculate f.
-1867, 2
Factor -2*l**3 + 6*l**2 + 26*l - 30.
-2*(l - 5)*(l - 1)*(l + 3)
Find f such that 2*f**3/13 - 680*f**2/13 + 1354*f/13 - 52 = 0.
1, 338
Factor 2*x**4/5 - 62*x**3/5 + 476*x**2/5.
2*x**2*(x - 17)*(x - 14)/5
Factor 2*m**3/9 - 62*m**2/9 - 142*m/3 - 74.
2*(m - 37)*(m + 3)**2/9
Let 2*f**4 - 40*f**3 - 94*f**2 + 132*f = 0. Calculate f.
-3, 0, 1, 22
Solve 4*n**3 + 8*n**2 - 356*n - 360 = 0.
-10, -1, 9
Factor -3*l**2/5 - 27*l/5 - 24/5.
-3*(l + 1)*(l + 8)/5
Factor -4*k**4 + 28*k**3 - 44*k**2 + 20*k.
-4*k*(k - 5)*(k - 1)**2
Factor 4*z**4 + 11*z**3 + 10*z**2 + 3*z.
z*(z + 1)**2*(4*z + 3)
Factor 3*r**3 - 267*r**2.
3*r**2*(r - 89)
Let -2*p**4/5 - 8*p**3 + 18*p**2 + 8*p - 88/5 = 0. Calculate p.
-22, -1, 1, 2
Factor 12*z**2 - 440*z + 3388.
4*(z - 11)*(3*z - 77)
Find i such that -3*i**4/4 - 21*i**3/4 + 213*i**2/2 - 339*i + 306 = 0.
-17, 2, 6
Determine o, given that 4*o**5 - 116*o**4 + 960*o**3 - 2448*o**2 = 0.
0, 6, 17
Factor -22*m**2/9 - 18*m - 56/9.
-2*(m + 7)*(11*m + 4)/9
Let -2500*f**2 - 25200*f - 63504 = 0. What is f?
-126/25
What is r in r**2/4 + 14*r + 196 = 0?
-28
Factor -20*q**2/9 + 508*q/9 - 200/9.
-4*(q - 25)*(5*q - 2)/9
Factor 11*p**5 + 25*p**4 - 24*p**3.
p**3*(p + 3)*(11*p - 8)
Determine s, given that -s**5/3 + 5*s**4 - 71*s**3/3 + 43*s**2 - 24*s = 0.
0, 1, 3, 8
Solve h**2 + 9*h - 10 = 0.
-10, 1
Find q such that -2215*q**2 - 2220*q - 5 = 0.
-1, -1/443
What is h in 2*h**2 - 728*h = 0?
0, 364
Factor -k**3/5 + 13*k**2 - 127*k/5 + 63/5.
-(k - 63)*(k - 1)**2/5
Solve p**5/10 + 3*p**4/10 - 3*p**3 - 64*p**2/5 - 48*p/5 = 0.
-4, -1, 0, 6
Let -j**2 - 16*j - 55 = 0. Calculate j.
-11, -5
Factor 3*l**4 + 8*l**3 + 2*l**2 - 8*l - 5.
(l - 1)*(l + 1)**2*(3*l + 5)
Let 2*c**2/7 + 52*c/7 - 544/7 = 0. Calculate c.
-34, 8
Determine q so that -2*q**2 + 4*q - 2 = 0.
1
Suppose 2*n**5 - 8*n**4 - 6*n**3 + 28*n**2 - 16*n = 0. What is n?
-2, 0, 1, 4
Find v, given that -6*v**4/7 - 20*v**3/7 - 6*v**2/7 + 24*v/7 + 8/7 = 0.
-2, -1/3, 1
Suppose -5*h**3 + 350*h**2 - 5395*h - 5750 = 0. What is h?
-1, 25, 46
Factor 2*u**2/5 + 78*u/5 + 76/5.
2*(u + 1)*(u + 38)/5
Let -2*c**4 - 132*c**3 - 496*c**2 = 0. Calculate c.
-62, -4, 0
Let 3*j**3 + 165*j**2 = 0. Calculate j.
-55, 0
Find d, given that -18*d**5/7 + 796*d**4/7 - 12812*d**3/7 + 87984*d**2/7 - 216658*d/7 + 43940/7 = 0.
2/9, 5, 13
Solve 2*t**5/17 + 4*t**4/17 - 2*t**3/17 - 4*t**2/17 = 0 for t.
-2, -1, 0, 1
Factor -8*c**2 + 5572*c + 8376.
-4*(c - 698)*(2*c + 3)
Suppose -p**4/2 - 813*p**3/2 + 407*p**2 = 0. Calculate p.