- 1295*c**3/4 - 1369*c**2/4.
-c**2*(c - 37)**2*(c + 1)/4
Factor -j**4 - 8*j**3/7 - j**2/7.
-j**2*(j + 1)*(7*j + 1)/7
Suppose -13*f**2/4 + 4*f = 0. Calculate f.
0, 16/13
Find c such that 2*c**3/9 - 14*c**2/9 + 14*c/9 + 10/3 = 0.
-1, 3, 5
Determine o so that 4*o**5 + 32*o**4 - 20*o**3 - 160*o**2 + 16*o + 128 = 0.
-8, -2, -1, 1, 2
Find p, given that 2*p**2/5 + 44*p/5 - 46/5 = 0.
-23, 1
Find q, given that -2*q**4/5 - 38*q**3/5 + 344*q**2/5 - 104*q = 0.
-26, 0, 2, 5
Factor z**3/3 - 5*z**2.
z**2*(z - 15)/3
Find y such that -9*y**2/4 + 617*y - 137 = 0.
2/9, 274
Factor -2*a**2 + 120*a - 648.
-2*(a - 54)*(a - 6)
Solve -s**2 - 130*s - 381 = 0.
-127, -3
Factor -5*c**3/4 + 155*c**2/4.
-5*c**2*(c - 31)/4
Factor -d**2/3 - 146*d - 437/3.
-(d + 1)*(d + 437)/3
Factor v**4/3 - 55*v**3 - 167*v**2 - 503*v/3 - 56.
(v - 168)*(v + 1)**3/3
Determine z so that 20*z**5 - 68*z**4 - 88*z**3 + 216*z**2 + 324*z + 108 = 0.
-1, -3/5, 3
Let k**2 + 536*k + 71824 = 0. What is k?
-268
Factor -5*d**4 - 80*d**3 - 75*d**2.
-5*d**2*(d + 1)*(d + 15)
Solve -2*y**3/3 + 44*y**2/3 - 242*y/3 = 0.
0, 11
Determine o, given that -2*o**5 - 8*o**4 + 62*o**3 - 28*o**2 - 96*o = 0.
-8, -1, 0, 2, 3
Factor 4*g**2 + 4*g.
4*g*(g + 1)
Factor -p**2/3 - 46*p/3 + 560/3.
-(p - 10)*(p + 56)/3
Solve j**5/4 + 47*j**4/4 = 0.
-47, 0
Factor -2*g**3/13 - 24*g**2/13 - 54*g/13.
-2*g*(g + 3)*(g + 9)/13
Solve r**2 + 54*r + 440 = 0 for r.
-44, -10
Solve 3*d**2 - 1860*d - 3732 = 0.
-2, 622
Factor -2*o**3/9 - 8*o**2/9 + 2*o/9 + 8/9.
-2*(o - 1)*(o + 1)*(o + 4)/9
Factor 2*y**3 + 38*y**2 - 128*y + 88.
2*(y - 2)*(y - 1)*(y + 22)
Let -r**4 + 10*r**3 + r**2 - 10*r = 0. What is r?
-1, 0, 1, 10
Factor -f**2 - 18*f + 208.
-(f - 8)*(f + 26)
Let -23*w**2 - 82*w - 39 = 0. Calculate w.
-3, -13/23
Find d such that d**2 + 71*d - 222 = 0.
-74, 3
Factor -u**3/5 - 11*u**2/5 + u/5 + 11/5.
-(u - 1)*(u + 1)*(u + 11)/5
Solve -4*u**4 + 16*u**3 + 20*u**2 = 0 for u.
-1, 0, 5
Factor -3*f**3 - 36*f**2 - 135*f - 162.
-3*(f + 3)**2*(f + 6)
What is v in -6859*v**5/3 - 9025*v**4/3 + 11324*v**3/3 + 4096*v**2/3 + 448*v/3 + 16/3 = 0?
-2, -2/19, 1
Suppose -2*g**5/5 - 16*g**4/5 - 32*g**3/5 - 4*g**2/5 + 34*g/5 + 4 = 0. Calculate g.
-5, -2, -1, 1
Determine s so that -s**3 - 53*s**2 - 728*s - 676 = 0.
-26, -1
Let c**3/6 + 5*c**2/6 - c = 0. What is c?
-6, 0, 1
Let 10*y**3/3 - 184*y**2/3 - 258*y - 132 = 0. Calculate y.
-3, -3/5, 22
Solve -2*r**3/5 + 198*r**2/5 - 6534*r/5 + 71874/5 = 0.
33
What is s in -10*s**2 + 24*s - 8 = 0?
2/5, 2
Factor 34*w**2/3 + 13*w + 5/3.
(w + 1)*(34*w + 5)/3
Factor -4*i**4 + 392*i**3 - 7948*i**2 + 7560*i.
-4*i*(i - 70)*(i - 27)*(i - 1)
Find h such that -3*h**4 + 546*h**3 - 25383*h**2 + 49140*h - 24300 = 0.
1, 90
Factor r**2/6 + 8*r.
r*(r + 48)/6
Factor -2*a**3/19 - 84*a**2/19 - 82*a/19.
-2*a*(a + 1)*(a + 41)/19
Find k such that -2*k**3/3 - 4*k**2/3 + 16*k/3 = 0.
-4, 0, 2
Factor -3*p**2 + 48*p.
-3*p*(p - 16)
Factor v**2/5 - 1901*v/5 - 1902/5.
(v - 1902)*(v + 1)/5
Find w such that -3*w**3 - 5742*w**2 - 3663396*w - 779082216 = 0.
-638
Determine l, given that 4418*l**3 - 9964*l**2 + 2328*l - 144 = 0.
6/47, 2
Factor 54*y**2 - 109*y + 2.
(y - 2)*(54*y - 1)
Let s**3/2 - 47*s**2 - s/2 + 47 = 0. What is s?
-1, 1, 94
Factor 3*x**5 - 12*x**3 + 6*x**2 + 9*x - 6.
3*(x - 1)**3*(x + 1)*(x + 2)
Let -3*v**2/7 - 72*v/7 - 69/7 = 0. Calculate v.
-23, -1
Factor 9*a**3/4 - 147*a**2/4 + 130*a + 169.
(a + 1)*(3*a - 26)**2/4
Solve 2*k**4/19 + 198*k**3/19 + 4796*k**2/19 - 5400*k/19 - 10000/19 = 0.
-50, -1, 2
What is h in 44*h**4 - 8*h**3 = 0?
0, 2/11
Determine i, given that -i**5 + i**4 + 25*i**3 - i**2 - 168*i - 144 = 0.
-3, -1, 4
What is o in 3*o**2/5 - 33*o = 0?
0, 55
Suppose 3*h**5 + 186*h**4 + 3819*h**3 + 29892*h**2 + 99600*h + 120000 = 0. What is h?
-25, -4
Determine h so that -33*h**4 + 160*h**3 + 664*h**2/3 + 128*h/3 - 16 = 0.
-2/3, 2/11, 6
Find w such that 12*w**5 + 92*w**4 + 204*w**3 + 68*w**2 - 216*w - 160 = 0.
-4, -2, -5/3, -1, 1
Solve 6*m**2 + 327*m - 1218 = 0.
-58, 7/2
Factor -s**5 - 9*s**4 + 36*s**3.
-s**3*(s - 3)*(s + 12)
Factor -4*t**2/9 + 44*t - 3560/9.
-4*(t - 89)*(t - 10)/9
Solve -5*q**5/4 - 3927*q**4/4 - 769885*q**3/4 + 464919*q**2/4 + 154449*q/2 = 0.
-393, -2/5, 0, 1
Factor -2*a**4/5 - 198*a**3/5 - 196*a**2/5.
-2*a**2*(a + 1)*(a + 98)/5
Let -2*s**2 + 8*s + 24 = 0. Calculate s.
-2, 6
Solve x**2 - 1320*x + 435600 = 0.
660
Factor t**3 + 62*t**2 + 636*t + 1800.
(t + 6)**2*(t + 50)
Determine b, given that -b**3/2 + 159*b**2/2 + 324*b + 326 = 0.
-2, 163
Suppose 4*p**4 + 12*p**3 - 8*p**2 - 48*p - 32 = 0. What is p?
-2, -1, 2
Factor 768*k**4 - 3840*k**3 + 7200*k**2 - 6000*k + 1875.
3*(4*k - 5)**4
Suppose 2*t**2/9 - 16*t - 296/9 = 0. What is t?
-2, 74
Solve i**3/3 + i**2/3 - 3*i - 3 = 0 for i.
-3, -1, 3
Solve b**2/7 - 12*b + 83/7 = 0 for b.
1, 83
Solve 2*h**3/3 - 28*h**2/3 - 110*h/3 + 136/3 = 0.
-4, 1, 17
Find y, given that 2*y**5/5 + 4*y**4/5 - 18*y**3/5 - 4*y**2/5 + 16*y/5 = 0.
-4, -1, 0, 1, 2
Let -4*g**2/5 - 16*g/5 = 0. What is g?
-4, 0
Let -5*q**4 + 40*q**3 - 110*q**2 + 120*q - 45 = 0. What is q?
1, 3
Determine d so that -90*d**3 - 185*d**2 - 100*d - 5 = 0.
-1, -1/18
Find j such that -2*j**3 - 430*j**2 - 22454*j + 71286 = 0.
-109, 3
Suppose 2*m**5/7 - 2*m**4 - 10*m**3/7 + 142*m**2/7 + 80*m/7 - 200/7 = 0. What is m?
-2, 1, 5
What is q in -q**5 + q**4 + q**3 - q**2 = 0?
-1, 0, 1
Suppose -b**3/7 + 79*b**2/7 + 502*b/7 + 680/7 = 0. Calculate b.
-4, -2, 85
Solve -5*n**3 - 95*n**2 + 1105*n + 21675 = 0 for n.
-17, 15
Factor -k**3/3 - 490*k**2/3 - 19844*k + 40344.
-(k - 2)*(k + 246)**2/3
Let b**2/3 - b + 2/3 = 0. What is b?
1, 2
Factor -5*q**2 + 95*q + 210.
-5*(q - 21)*(q + 2)
Determine k, given that -k**2 + 42*k = 0.
0, 42
Factor 10*u**3 - 345*u**2 - 180*u + 175.
5*(u - 35)*(u + 1)*(2*u - 1)
Suppose -2*z**2/5 - 108*z - 7290 = 0. What is z?
-135
Determine g so that -g**4/2 + 3*g**3 + 4*g**2 - 3*g - 7/2 = 0.
-1, 1, 7
Factor -f**3/2 - 221*f**2/2 - 6160*f - 6050.
-(f + 1)*(f + 110)**2/2
What is a in -a**4 + 32*a**3 - 256*a**2 = 0?
0, 16
Suppose -5*h**3 - 5595*h**2 - 2086935*h - 259475585 = 0. Calculate h.
-373
Determine t, given that -54*t**5 + 144*t**4 + 96*t**3 - 244*t**2 - 170*t - 28 = 0.
-1, -1/3, 2, 7/3
Suppose -2*b**4 - 1944*b**3 + 17604*b**2 - 52920*b + 52974 = 0. What is b?
-981, 3
Find f such that -8*f**5/9 + 14*f**4 - 128*f**3/3 + 280*f**2/9 + 32*f/3 = 0.
-1/4, 0, 2, 12
What is a in 2*a**4/7 - 4*a**3/7 - 2*a**2/7 + 4*a/7 = 0?
-1, 0, 1, 2
Factor 2*s**3/5 - 2958*s**2/5 + 1458294*s/5 - 239646314/5.
2*(s - 493)**3/5
Factor -4*k**4 + 4*k**3 + 48*k**2.
-4*k**2*(k - 4)*(k + 3)
Find f such that -30*f**3 + 266*f**2 + 36*f = 0.
-2/15, 0, 9
Determine s so that -2*s**2/15 + 38*s/15 = 0.
0, 19
Factor 2*h**2/11 + 628*h/11 - 1902/11.
2*(h - 3)*(h + 317)/11
Factor -2*n**3 + 826*n**2 + 8*n - 3304.
-2*(n - 413)*(n - 2)*(n + 2)
Solve 5*a**2 - 16060*a + 12896180 = 0.
1606
Determine q so that 3*q**3 + 729*q**2 + 43920*q - 44652 = 0.
-122, 1
Factor -3*f**2 - 72*f + 75.
-3*(f - 1)*(f + 25)
Factor -i**2/2 + 349*i - 121801/2.
-(i - 349)**2/2
Factor 3*v**4/4 - 306*v**3 + 46818*v**2 - 3183624*v + 81182412.
3*(v - 102)**4/4
Suppose -p**3/5 + 19*p/5 + 6 = 0. What is p?
-3, -2, 5
Factor -m**2/5 + 11*m - 54/5.
-(m - 54)*(m - 1)/5
Factor -207646*y**4 - 388784*y**3 + 51888*y**2 - 2240*y + 32.
-2*(y + 2)*(47*y - 2)**3
Factor 3*z**4 + 3*z**3 - 9*z**2 - 3*z + 6.
3*(z - 1)**2*(z + 1)*(z + 2)
Factor -3*y**3/5 + 186*y**2/5 - 735*y + 4500.
-3*(y - 25)**2*(y - 12)/5
Factor -u**2 - 106*u - 2809.
-(u + 53)**2
Let 16*q**2 + 20*q - 176 = 0. Calculate q.
-4, 11/4
Find j, given that -j**2/3 - 95*j + 286/3 = 0.
-286, 1
Solve 3*k**5/4 + 21*k**4 + 177*k**3/2 + 48*k**2 - 357*k/4 - 69 = 0 for k.
-23, -4, -1, 1
Let -5*f**5 - 30*f**4 - 20*f**3 + 30*f**2 + 25*f = 0. What is f?
-5, -1, 0, 1
Factor -3*r**2/4 + 1101*r/4 - 1089.
-3*(r - 363)*(r - 4)/4
Factor -4*r**3 + 32*r**2 + 724*r + 2128.
-4*(r - 19)*(r + 4)*(r + 7)
Factor i**2/2 - 3*i/2 - 14.
(i - 7)*(i + 4)/2
Factor -9*c**3 + 7*c**2 + 20*c + 4.
-(c - 2)*(c + 1)*(9*c + 2)
Suppose 3*i**3 + 27*i**2 - 63*i + 33 = 0. Calculate i.
-11, 1
Factor -3*c**3/7 + 129*c**2/7 - 1845*c/7 + 8775/7.
-3*(c - 15)**2*(c - 13)/7
Suppose w**2/9 - 565*w/9 - 568/3 = 0. Calculate w.
-3, 568
Factor -2*f**2/5 + 48*f - 472/5.
-2*(f - 118)*(f - 2)/5
Factor c**2/5 - 2*c/5.