= 0.
-1/2, 0, 10
Factor 4*r**4 + 84*r**3 - 96*r**2 - 176*r.
4*r*(r - 2)*(r + 1)*(r + 22)
Factor -9*w**3/5 - 66*w**2/5 - 15*w - 18/5.
-3*(w + 1)*(w + 6)*(3*w + 1)/5
Determine s, given that 5*s**3 + 480*s**2 + 11520*s = 0.
-48, 0
Determine a so that -3*a**4/7 - 18*a**3 + 129*a**2/7 = 0.
-43, 0, 1
Find b, given that 4*b**2/17 - 30*b/17 - 16/17 = 0.
-1/2, 8
Factor -a**4 - 542*a**3 - 2693*a**2 - 4300*a - 2148.
-(a + 1)*(a + 2)**2*(a + 537)
Let -42*r**2/19 - 794*r/19 - 260/19 = 0. What is r?
-130/7, -1/3
Factor -68644*t**2 - 41920*t - 6400.
-4*(131*t + 40)**2
Factor 21*t**2 - 687*t - 198.
3*(t - 33)*(7*t + 2)
Factor -2*u**2 - 550*u.
-2*u*(u + 275)
Solve 3*w**5/5 - 51*w**4/5 + 33*w**3/5 + 363*w**2 = 0 for w.
-5, 0, 11
Suppose 4*k**5 - 348*k**4 + 6136*k**3 + 68280*k**2 - 153596*k + 79524 = 0. What is k?
-9, 1, 47
Find r such that 644*r**3 + 1286*r**2 + 640*r - 2 = 0.
-1, 1/322
Suppose 2*g**3/23 - 94*g**2/23 - 2*g/23 + 94/23 = 0. Calculate g.
-1, 1, 47
Factor f**5/4 - f**4/2 + f**3/4.
f**3*(f - 1)**2/4
Suppose 3*o**2 - 711*o + 1410 = 0. Calculate o.
2, 235
Suppose 10*d**2/7 + 18*d/7 - 36/7 = 0. What is d?
-3, 6/5
Factor s**3/7 + 3261*s**2/7 + 379557*s - 380023.
(s - 1)*(s + 1631)**2/7
Suppose -5*y**3 + 20*y**2 + 225*y = 0. Calculate y.
-5, 0, 9
Factor 4*y**2 - 652*y + 648.
4*(y - 162)*(y - 1)
Factor -m**2/4 - 5*m/2 - 25/4.
-(m + 5)**2/4
Factor 78*t**4/11 + 1902*t**3/11 + 5238*t**2/11 + 462*t + 1668/11.
6*(t + 1)**3*(13*t + 278)/11
Factor 12*f**3 - 158*f**2 + 386*f - 60.
2*(f - 10)*(f - 3)*(6*f - 1)
Factor -x**2/4 + 7*x - 27/4.
-(x - 27)*(x - 1)/4
Determine l, given that 2*l**4 + 226*l**3 - 6*l**2 - 674*l + 452 = 0.
-113, -2, 1
Let 3*y**2 + 14682*y + 17963427 = 0. What is y?
-2447
Determine l so that 2*l**3/21 + 68*l**2/21 + 130*l/21 + 64/21 = 0.
-32, -1
Factor -3*z**2 + 543*z - 540.
-3*(z - 180)*(z - 1)
Solve -33*b**3/5 - 12*b**2 - 21*b/5 + 6/5 = 0.
-1, 2/11
Solve -2*m**4/3 + 34*m**3/3 - 50*m**2 + 66*m = 0 for m.
0, 3, 11
Factor 2*j**2 - 3512*j + 1541768.
2*(j - 878)**2
Determine j so that -5*j**2 - 140*j - 260 = 0.
-26, -2
Factor -4*y**2/3 + 68*y - 867.
-(2*y - 51)**2/3
Factor 2*a**3 - 138*a**2 + 774*a - 1134.
2*(a - 63)*(a - 3)**2
Factor -4*f**2 + 816*f.
-4*f*(f - 204)
Let 3*d**3 - 1539*d**2 + 199665*d - 585225 = 0. What is d?
3, 255
Factor 10*p**2/3 - 82*p/3 + 24.
2*(p - 1)*(5*p - 36)/3
Suppose -2*l**3/11 - 14*l**2/11 - 20*l/11 = 0. What is l?
-5, -2, 0
Solve -3*r**5 - 12*r**4 + 33*r**3 - 18*r**2 = 0.
-6, 0, 1
Solve 3*z**4/7 + 51*z**3/7 + 243*z**2/7 + 3*z - 210 = 0 for z.
-7, -5, 2
Factor 4*m**3/3 - 100*m**2/3 + 572*m/3 + 676/3.
4*(m - 13)**2*(m + 1)/3
Factor -5*l**4 - 30*l**3 + 75*l**2 - 40*l.
-5*l*(l - 1)**2*(l + 8)
Factor -15*v**2/4 - 3*v/4.
-3*v*(5*v + 1)/4
Suppose w**2 - 176*w - 356 = 0. Calculate w.
-2, 178
What is n in 21*n**5/4 - 3*n**4/2 - 231*n**3/2 - 93*n**2 + 1089*n/4 - 135/2 = 0?
-3, 2/7, 1, 5
Determine a, given that -50*a**4/3 + 460*a**3/3 - 658*a**2/3 - 760*a/3 - 56 = 0.
-2/5, 3, 7
Solve -2*n**5/7 - 30*n**4/7 - 118*n**3/7 + 22*n**2/7 + 72*n + 56 = 0.
-7, -2, -1, 2
Find z such that -z**4/4 - 11*z**3/2 + 13*z**2 + 22*z - 48 = 0.
-24, -2, 2
Factor z**4/2 + 689*z**3 + 467781*z**2/2 - 2390830*z + 6020450.
(z - 5)**2*(z + 694)**2/2
Find j such that j**2/4 - 269*j + 72361 = 0.
538
Determine p, given that p**5/3 - 125*p**4/3 + 1281*p**3 + 1323*p**2 = 0.
-1, 0, 63
Let -2*o**5/7 - 100*o**4/7 - 1136*o**3/7 + 3104*o**2/7 + 4576*o/7 - 10816/7 = 0. What is o?
-26, -2, 2
Factor -4*p**4 + 32*p**3 + 76*p**2 + 40*p.
-4*p*(p - 10)*(p + 1)**2
Factor 5*z**3 - 4705*z**2 + 1104495*z + 1109205.
5*(z - 471)**2*(z + 1)
Factor 4*i**2 - 28*i + 48.
4*(i - 4)*(i - 3)
Suppose 4*d**5 + 52*d**4 + 28*d**3 - 1236*d**2 - 576*d + 6912 = 0. What is d?
-8, -3, 3
Suppose -2*y**2/7 - 88*y/7 - 968/7 = 0. What is y?
-22
Factor -5*z**4 - 20*z**3 - 25*z**2 - 10*z.
-5*z*(z + 1)**2*(z + 2)
Find t such that t**3/2 + 25*t**2 - 103*t/2 + 26 = 0.
-52, 1
What is c in -4*c**5/7 - 40*c**4/7 - 120*c**3/7 + 540*c/7 + 648/7 = 0?
-3, 2
Find f, given that -5*f**5 - 175*f**4 - 2135*f**3 - 10825*f**2 - 22880*f - 16900 = 0.
-13, -5, -2
Solve -r**3/7 - 5*r**2/7 + 46*r/7 - 40/7 = 0.
-10, 1, 4
Solve -m**3/5 + 48*m**2/5 - 768*m/5 + 4096/5 = 0.
16
Determine w so that 2*w**4/17 - 82*w**3/17 + 1092*w**2/17 - 4312*w/17 - 5488/17 = 0.
-1, 14
Solve 87*y**2 - 741*y + 924 = 0.
44/29, 7
Factor -2*g**4/5 - 25328*g**3/5 - 80188448*g**2/5.
-2*g**2*(g + 6332)**2/5
Find n, given that n**5/2 + n**4 - 19*n**3/2 - 10*n**2 = 0.
-5, -1, 0, 4
Suppose -4*a**3 - 128*a**2 + 132*a = 0. What is a?
-33, 0, 1
Determine p, given that 18*p**4 - 202*p**3 + 224*p**2 - 40*p = 0.
0, 2/9, 1, 10
Let -x**3 + 7*x**2 - 6*x = 0. Calculate x.
0, 1, 6
Solve 3*n**5/8 - 6*n**4 + 189*n**3/8 + 6*n**2 - 24*n = 0 for n.
-1, 0, 1, 8
Factor 8*x**5 - 408*x**4 + 4994*x**3 + 5304*x**2 + 1352*x.
2*x*(x - 26)**2*(2*x + 1)**2
Factor 3*i**2/7 - 30672*i/7 + 78397632/7.
3*(i - 5112)**2/7
Factor -2*c**3/7 - 10*c**2/7 - 8*c/7.
-2*c*(c + 1)*(c + 4)/7
Factor -5*x**2 + 710*x - 2085.
-5*(x - 139)*(x - 3)
Suppose 5*c**2/2 + 15*c + 20 = 0. Calculate c.
-4, -2
Factor k**3/2 - 12*k**2 + 90*k - 200.
(k - 10)**2*(k - 4)/2
Solve -10*a**5 - 55*a**4 - 55*a**3 + 75*a**2 + 45*a = 0 for a.
-3, -1/2, 0, 1
Find r such that r**2/4 + 29*r/4 - 15/2 = 0.
-30, 1
Factor 15*s**2 - 6100*s + 4060.
5*(s - 406)*(3*s - 2)
Factor 3*v**2 + 14247*v + 14244.
3*(v + 1)*(v + 4748)
What is o in -2*o**3 - 192*o**2 - 6144*o - 65536 = 0?
-32
Determine g, given that -2*g**2 - 430*g + 1752 = 0.
-219, 4
Determine h, given that h**2/4 - 16*h + 63/4 = 0.
1, 63
Factor -3*a**2 - 15*a + 312.
-3*(a - 8)*(a + 13)
Factor -9*q**3/2 + 24*q**2 - 18*q - 24.
-3*(q - 4)*(q - 2)*(3*q + 2)/2
Find l such that 3*l**3 + 66*l**2 + 288*l - 864 = 0.
-12, 2
Factor 4*y**2 - 1376*y + 118336.
4*(y - 172)**2
Find p, given that p**2/8 - 5*p/4 + 2 = 0.
2, 8
Let 4*q**5 + 360*q**4 + 8096*q**3 - 360*q**2 - 8100*q = 0. What is q?
-45, -1, 0, 1
Factor -5*z**4 + 120*z**3 - 600*z**2 + 1120*z - 720.
-5*(z - 18)*(z - 2)**3
Factor v**3 - 84*v**2 + 1764*v.
v*(v - 42)**2
Suppose -42*f**4/19 + 236*f**3/19 - 134*f**2/19 + 20*f/19 = 0. Calculate f.
0, 2/7, 1/3, 5
Factor -3*w**4 - 96*w**3 - 1128*w**2 - 5760*w - 10800.
-3*(w + 6)**2*(w + 10)**2
Factor 4*n**3 + 48*n**2 + 36*n - 88.
4*(n - 1)*(n + 2)*(n + 11)
Factor n**4/2 + 6*n**3 + 10*n**2.
n**2*(n + 2)*(n + 10)/2
Determine u so that u**5/2 + 10*u**4 - 35*u**3 - 10*u**2 + 69*u/2 = 0.
-23, -1, 0, 1, 3
Let -2*g**4 - 112*g**3 + 470*g**2 - 596*g + 240 = 0. Calculate g.
-60, 1, 2
Factor w**2/5 - 197*w/5 + 196/5.
(w - 196)*(w - 1)/5
Suppose 2*a**4 - 2*a**3 - 12*a**2 + 8*a + 16 = 0. What is a?
-2, -1, 2
Solve 3*d**4 + 1728*d**3 + 245352*d**2 - 1002240*d + 1009200 = 0 for d.
-290, 2
Suppose -i**2 - 4284*i - 4588164 = 0. What is i?
-2142
Factor -2*j**3/9 + 2*j**2/9 + 68*j/9 + 112/9.
-2*(j - 7)*(j + 2)*(j + 4)/9
Factor -3*z**2 + 45*z - 150.
-3*(z - 10)*(z - 5)
Factor -k**4 + 20*k**3 + 122*k**2 + 84*k - 225.
-(k - 25)*(k - 1)*(k + 3)**2
What is v in -v**4/6 - 25*v**3/3 + 157*v**2/6 - 53*v/3 = 0?
-53, 0, 1, 2
Factor -4*t**3/9 - 4*t**2/9 + 328*t/9 - 320/9.
-4*(t - 8)*(t - 1)*(t + 10)/9
Factor l**4/2 + 3*l**3 + 3*l**2/2 - 5*l.
l*(l - 1)*(l + 2)*(l + 5)/2
Factor -4*q**2 - 584*q - 580.
-4*(q + 1)*(q + 145)
What is r in 5*r**5/6 + 11*r**4/2 + 11*r**3 + 14*r**2/3 - 4*r = 0?
-3, -2, 0, 2/5
Determine g so that 3*g**2/2 + 195*g/2 = 0.
-65, 0
Factor -o**3/5 - 6*o**2/5 - 8*o/5.
-o*(o + 2)*(o + 4)/5
Determine l so that 100*l**2/13 - 202*l/13 + 4/13 = 0.
1/50, 2
Solve x**4 - 5*x**3 + 8*x**2 - 4*x = 0.
0, 1, 2
Let -z**5/5 - 3*z**4 - 61*z**3/5 + 3*z**2 + 70*z = 0. Calculate z.
-7, -5, 0, 2
Solve -10*t**5 - 34*t**4 + 308*t**3 - 472*t**2 + 80*t + 128 = 0.
-8, -2/5, 1, 2
Suppose -46*v**2/3 + 83*v/3 + 6 = 0. Calculate v.
-9/46, 2
Factor q**3/4 - 53*q**2/4 + 775*q/4 - 1875/4.
(q - 25)**2*(q - 3)/4
Factor w**2/5 - 206*w/5 - 627/5.
(w - 209)*(w + 3)/5
Let -4*j**4 + 8*j**3 + 76*j**2 + 112*j + 48 = 0. What is j?
-2, -1, 6
Factor -2*a**3/7 + 10*a**2/7 - 8*a/7.
-2*a*(a - 4)*(a - 1)/7
Factor -2*t**2 - 576*t - 41472.
-2*(t + 144)**2
Find u, given that 20*u**3/7 - 4*u**2 + 8*u/7 = 0.
0, 2/5, 1
Solve 6*u**4 - 176*u**3 + 522*u**2 - 40*u - 312 = 0 for u.
-2/3, 1, 3, 26
Let -3*a**4/2 + 24*a**3 + 57*a**2/2 - 51*a = 0. What is a?
-2, 0,