01124.
4*(x - 159)**2*(x + 1)
Determine x, given that -x**3/3 - 788*x**2 - 620944*x - 489303872/3 = 0.
-788
Solve -u**4/8 + 125*u**3/8 - 489*u**2/8 + 607*u/8 - 121/4 = 0.
1, 2, 121
Factor 3*h**2 + 2154*h.
3*h*(h + 718)
Solve -m**4/4 + 5*m**3/4 - 3*m**2/2 = 0.
0, 2, 3
Factor 5*l**2 - 20*l - 160.
5*(l - 8)*(l + 4)
Find z, given that z**3/8 + 99*z**2/8 = 0.
-99, 0
Factor q**2 + 642*q.
q*(q + 642)
Factor -2*l**4/11 + 136*l**3/11 - 24*l**2.
-2*l**2*(l - 66)*(l - 2)/11
Suppose -l**5/3 - 13*l**4/3 + 29*l**3 + 337*l**2/3 + 238*l/3 = 0. Calculate l.
-17, -2, -1, 0, 7
Factor -8748*o**5 - 63180*o**4 - 156600*o**3 - 143640*o**2 - 26460*o - 1372.
-4*(3*o + 7)**3*(9*o + 1)**2
Factor 267*s**3/5 - 6*s**2/5 - 267*s/5 + 6/5.
3*(s - 1)*(s + 1)*(89*s - 2)/5
Factor -2*q**5/7 - 4*q**4 - 26*q**3/7.
-2*q**3*(q + 1)*(q + 13)/7
What is p in p**2/8 + 7*p/8 + 3/2 = 0?
-4, -3
What is z in -3*z**3 + 1188*z**2 - 115200*z - 480000 = 0?
-4, 200
Factor -2*w**3 - 22*w**2 - 46*w + 70.
-2*(w - 1)*(w + 5)*(w + 7)
Factor a**3 + 5*a**2 + 4*a.
a*(a + 1)*(a + 4)
Suppose -2*x**3/7 - 26*x**2/7 - 24*x/7 = 0. What is x?
-12, -1, 0
Factor a**3/5 + 22*a**2/5 - 363*a/5.
a*(a - 11)*(a + 33)/5
Factor -v**2/5 - 91*v/5 - 18.
-(v + 1)*(v + 90)/5
Factor 16*m**4 - 192*m**3 + 820*m**2 - 1428*m + 784.
4*(m - 4)*(m - 1)*(2*m - 7)**2
Determine x so that 2*x**2/11 + 6384*x/11 + 5094432/11 = 0.
-1596
Factor -20*y**2/9 + 856*y/9 + 172/9.
-4*(y - 43)*(5*y + 1)/9
Determine i so that -3*i**3/5 - 4089*i**2/5 - 1383048*i/5 + 1403568 = 0.
-684, 5
Factor 2*h**2 + 10*h/7 - 4/7.
2*(h + 1)*(7*h - 2)/7
Determine u, given that -4*u**3 - 148*u**2 + 152*u = 0.
-38, 0, 1
Let -f**4/3 - 19*f**3/3 - 9*f**2 + 405*f + 1944 = 0. Calculate f.
-9, 8
Determine j so that -2*j**2 + 78*j + 80 = 0.
-1, 40
Factor -3*i**4 - 312*i**3 - 8112*i**2.
-3*i**2*(i + 52)**2
Factor 3*u**5 - 18*u**4 + 33*u**3 - 18*u**2.
3*u**2*(u - 3)*(u - 2)*(u - 1)
What is f in -5*f**2 - 545*f - 540 = 0?
-108, -1
Determine b, given that b**4/4 - 35*b**3/4 + 99*b**2 - 324*b - 432 = 0.
-1, 12
Factor z**2/2 - 5*z - 100.
(z - 20)*(z + 10)/2
Find v such that 5*v**2/4 + 15*v/2 - 20 = 0.
-8, 2
Find c such that -3*c**4 - 9*c**3 - 9*c**2 - 3*c = 0.
-1, 0
Suppose 8*q**5 - 406*q**4 - 126*q**3 + 1234*q**2 - 506*q - 204 = 0. What is q?
-2, -1/4, 1, 51
Solve -g**2/4 + 2918*g - 8514724 = 0 for g.
5836
Determine a, given that 5*a**5 + 35*a**4 + 95*a**3 + 125*a**2 + 80*a + 20 = 0.
-2, -1
Factor -4*t**5 + 1176*t**4 - 92116*t**3 + 834960*t**2 - 2016400*t.
-4*t*(t - 142)**2*(t - 5)**2
Suppose 3*m**5 - 27*m**4 + 69*m**3 - 33*m**2 - 72*m + 60 = 0. Calculate m.
-1, 1, 2, 5
Find f, given that -2*f**5/3 + 10*f**4/3 - 6*f**3 + 14*f**2/3 - 4*f/3 = 0.
0, 1, 2
Determine m so that -2*m**2/5 + 6*m/5 - 4/5 = 0.
1, 2
What is i in -3*i**2/5 - 297*i/5 + 2916/5 = 0?
-108, 9
Let 2*n**4/23 - 18*n**3/23 + 14*n**2/23 + 18*n/23 - 16/23 = 0. Calculate n.
-1, 1, 8
Find i such that -3*i**4/4 - 3*i**3/2 + 9*i**2/4 + 3*i - 3 = 0.
-2, 1
Factor 4*b**2 - 592*b + 21904.
4*(b - 74)**2
Factor -50*u**2/9 - 58660*u/9 - 17204978/9.
-2*(5*u + 2933)**2/9
Suppose 5*f**5 - 30*f**4 + 250*f**2 - 405*f + 180 = 0. What is f?
-3, 1, 3, 4
Find k, given that -2*k**5 + 18*k**3 - 8*k**2 - 24*k = 0.
-3, -1, 0, 2
Factor -2*x**2/7 - x/7 + 3.
-(x - 3)*(2*x + 7)/7
Factor 3*j**2/8 - 495*j/2 + 81675/2.
3*(j - 330)**2/8
What is u in 6272*u**2/11 - 1120*u + 550 = 0?
55/56
Find j such that -5*j**3/2 + 7*j**2 - 7*j/2 - 1 = 0.
-1/5, 1, 2
Determine t so that -2*t**2/7 + 20*t/7 - 50/7 = 0.
5
Let -u**3 - 18*u**2 - 17*u = 0. What is u?
-17, -1, 0
Find m, given that -5*m**2 + 1030*m - 2040 = 0.
2, 204
Factor -5*f**2 - 100*f + 105.
-5*(f - 1)*(f + 21)
Factor 2*g**2/7 - 122*g/7 - 660/7.
2*(g - 66)*(g + 5)/7
Factor -w**2/9 + 62*w/9 - 961/9.
-(w - 31)**2/9
Suppose -2*z**3 + 59*z**2 + 31*z - 30 = 0. What is z?
-1, 1/2, 30
Solve p**3/3 + 65*p**2/3 + 1088*p/3 + 1024/3 = 0 for p.
-32, -1
Factor 2*c**2/9 - 700*c/9 - 1408/9.
2*(c - 352)*(c + 2)/9
Solve -2*f**4/9 - 46*f**3/9 - 104*f**2/3 - 440*f/9 + 800/9 = 0 for f.
-10, -4, 1
Find o such that -28*o**3 - 53*o**2 + 87*o - 18 = 0.
-3, 1/4, 6/7
Factor 2*t**3/15 + 14*t**2/5 - 248*t/15 + 104/5.
2*(t - 3)*(t - 2)*(t + 26)/15
Suppose -w**3/2 + 33*w**2/2 + 69*w/2 - 6877/2 = 0. What is w?
-13, 23
Factor -3*r**2/4 - 3519*r - 4127787.
-3*(r + 2346)**2/4
Determine u so that u**3/8 - u/8 = 0.
-1, 0, 1
Suppose 2*f**2 + 2319*f/2 - 290 = 0. Calculate f.
-580, 1/4
Factor 5*v**4 - 40*v**3 + 115*v**2 - 140*v + 60.
5*(v - 3)*(v - 2)**2*(v - 1)
Determine b, given that -b**4 - 16*b**3 + 1362*b**2 - 12784*b - 14161 = 0.
-49, -1, 17
Factor 9*l**2/8 + 8625*l/4 + 1437.
3*(l + 1916)*(3*l + 2)/8
Solve 2*n**3/11 + 112*n**2/11 - 2*n/11 - 112/11 = 0.
-56, -1, 1
Suppose -4*r**2 + 260*r + 264 = 0. What is r?
-1, 66
Solve v**2 - 372*v = 0 for v.
0, 372
Factor -3*x**5 + 12*x**3 + 6*x**2 - 9*x - 6.
-3*(x - 2)*(x - 1)*(x + 1)**3
Factor 5*y**3 - 80*y**2 + 65*y + 150.
5*(y - 15)*(y - 2)*(y + 1)
Factor -12*l**2/7 + 7977*l/7 + 285.
-3*(l - 665)*(4*l + 1)/7
Find u such that -2*u**2/11 - 214*u/11 - 824/11 = 0.
-103, -4
Solve -7*b**5/4 - 129*b**4/2 - 215*b**3/4 + 9*b**2 = 0 for b.
-36, -1, 0, 1/7
Determine x so that 30*x**5 + 189*x**4 + 231*x**3 - 459*x**2 - 729*x + 162 = 0.
-3, -2, 1/5, 3/2
Suppose 3*u**4 + 16*u**3 - 91*u**2 + 76*u + 36 = 0. Calculate u.
-9, -1/3, 2
Factor -3*y**4 + 72*y**3 + 417*y**2 + 522*y.
-3*y*(y - 29)*(y + 2)*(y + 3)
Factor f**4/5 + 3*f**3/5 - 2*f**2/5 - 12*f/5 - 8/5.
(f - 2)*(f + 1)*(f + 2)**2/5
Factor -3*g**2/5 + 1089*g/5 - 6426/5.
-3*(g - 357)*(g - 6)/5
Factor -2*t**4/5 - 168*t**3/5 - 3848*t**2/5 - 2688*t - 2560.
-2*(t + 2)**2*(t + 40)**2/5
Factor -y**5/2 - 5*y**4 - 33*y**3/2 - 20*y**2 - 8*y.
-y*(y + 1)**2*(y + 4)**2/2
Factor 3*q**5 - 129*q**4 + 414*q**3 + 2046*q**2 + 2319*q + 819.
3*(q - 39)*(q - 7)*(q + 1)**3
Suppose 3*c**2/4 - 3429*c + 3919347 = 0. Calculate c.
2286
Factor -d**4/9 - 17*d**3/9 + 79*d**2/9 - 103*d/9 + 14/3.
-(d - 2)*(d - 1)**2*(d + 21)/9
Factor 2*s**3 - 40*s**2 + 136*s - 128.
2*(s - 16)*(s - 2)**2
Suppose -2*s**2/11 - 1332*s/11 - 221778/11 = 0. What is s?
-333
Suppose -5*x**5 + 95*x**4 + 205*x**3 + 105*x**2 = 0. What is x?
-1, 0, 21
Suppose -3*f**5 - 46*f**4 + 53*f**3 + 340*f**2 + 52*f - 192 = 0. Calculate f.
-16, -2, -1, 2/3, 3
Let d**3 - 86*d**2 - 559*d + 644 = 0. Calculate d.
-7, 1, 92
Determine u, given that -4*u**2/7 + 8*u/7 = 0.
0, 2
Factor -o**5 + 50*o**4 - 673*o**3 + 1200*o**2 - 576*o.
-o*(o - 24)**2*(o - 1)**2
Solve -2*w**5 + 8*w**3 + 4*w**2 - 6*w - 4 = 0.
-1, 1, 2
Factor -y**3/6 - 55*y**2/6 - 875*y/6 - 3125/6.
-(y + 5)*(y + 25)**2/6
Factor -4*y**4/5 + 16*y**3/5 - 4*y**2 + 8*y/5.
-4*y*(y - 2)*(y - 1)**2/5
Factor -j**2/4 - 3*j - 8.
-(j + 4)*(j + 8)/4
Let -5*a**4 - 90*a**3 - 380*a**2 + 90*a + 385 = 0. Calculate a.
-11, -7, -1, 1
Solve -2*x**4/7 + 2*x**3/7 + 66*x**2/7 + 118*x/7 + 8 = 0 for x.
-4, -1, 7
Factor 5*r**3 + 245*r**2 + 3120*r + 2880.
5*(r + 1)*(r + 24)**2
Factor -6*x**2/13 - 16*x/13 - 8/13.
-2*(x + 2)*(3*x + 2)/13
Suppose -4*a**2/3 - 92*a/3 - 520/3 = 0. What is a?
-13, -10
Factor f**2/3 - 1354*f/3 + 458329/3.
(f - 677)**2/3
Determine h, given that 9*h**5/5 + 4*h**4 - 23*h**3/5 - 78*h**2/5 - 52*h/5 - 8/5 = 0.
-2, -1, -2/9, 2
Find q, given that 2*q**5/13 - 34*q**4/13 + 158*q**3/13 - 310*q**2/13 + 272*q/13 - 88/13 = 0.
1, 2, 11
Factor 2*p**3 - 14*p**2 - 34*p - 18.
2*(p - 9)*(p + 1)**2
Factor 2*b**2/5 - 64*b.
2*b*(b - 160)/5
Factor c**2/5 - 84*c/5 + 83/5.
(c - 83)*(c - 1)/5
Determine k, given that -k**2 + 35*k - 150 = 0.
5, 30
Factor 3*f**2/5 - 993*f/5 + 198.
3*(f - 330)*(f - 1)/5
Factor -l**4/10 + 3*l**3/5.
-l**3*(l - 6)/10
Suppose 289*b**3/5 + 15249*b**2/5 - 720*b + 212/5 = 0. What is b?
-53, 2/17
Suppose -6*a**4/5 + 654*a**3/5 - 3138*a**2/5 + 1818*a/5 + 5616/5 = 0. What is a?
-1, 3, 104
Factor 418*w**2/3 - 5018*w/9 + 8/9.
2*(w - 4)*(627*w - 1)/9
Find g, given that 3*g**3 - 123*g**2 - 528*g - 540 = 0.
-2, 45
Factor 3*d**3 + 144*d**2 + 141*d.
3*d*(d + 1)*(d + 47)
Determine q, given that -2*q**3/17 + 2*q**2/17 + 130*q/17 + 126/17 = 0.
-7, -1, 9
Solve 2*t**5/3 + 26*t**4/3 + 20*t**3 - 244*t**2/3 - 574*t/3 - 98 = 0.
-7, -1, 3
Solve z**3/5 + 8*z**2/5 - 387*z/5 + 2106/5 = 0 for z.
-26, 9
Factor 2*m**2 + 22*m + 56.
2*(m + 4)*(m + 7)
Factor b**4/6 - 28*b**3/3 + 419*b**2/3 - 252*b + 243/2.
(b -