280*k - 585.
-5*(k - 13)*(k - 9)*(k - 1)**2
Solve -5*g**5 + 15*g**4 + 5*g**3 - 15*g**2 = 0.
-1, 0, 1, 3
Factor 36*l**3 + 44*l**2 - 424*l - 96.
4*(l - 3)*(l + 4)*(9*l + 2)
Factor y**2 + 11946*y + 35676729.
(y + 5973)**2
What is k in k**2 - 175*k = 0?
0, 175
Factor -3*w**4/4 + 141*w**3/2 - 9279*w**2/4 + 31161*w - 146523.
-3*(w - 34)**2*(w - 13)**2/4
Solve -5*d**5/3 + 70*d**4 - 2200*d**3/3 - 70*d**2 + 735*d = 0 for d.
-1, 0, 1, 21
Suppose 4*z**2/7 + 2264*z/7 + 320356/7 = 0. What is z?
-283
Solve -2*x**3/11 + 38*x**2/11 - 36*x/11 = 0.
0, 1, 18
Suppose -2*x**5/3 - 70*x**4/3 - 704*x**3/3 - 1528*x**2/3 + 256*x/3 + 2048/3 = 0. Calculate x.
-16, -2, 1
Solve -s**4/10 - s**3/2 - 7*s**2/10 - 3*s/10 = 0.
-3, -1, 0
Suppose 3*s**5 + 45*s**4 - 33*s**3 - 549*s**2 - 834*s - 360 = 0. What is s?
-15, -2, -1, 4
Determine f, given that 196*f**3/3 - 15344*f**2/3 + 4372*f/3 - 104 = 0.
1/7, 78
Solve 5*t**2 - 5 = 0 for t.
-1, 1
Factor 2*x**3 + 18*x**2 - 2*x - 18.
2*(x - 1)*(x + 1)*(x + 9)
Factor -j**3/3 - 9*j**2 - 77*j - 637/3.
-(j + 7)**2*(j + 13)/3
Factor -3*h**5/2 - 93*h**4/2 - 336*h**3 + 384*h**2.
-3*h**2*(h - 1)*(h + 16)**2/2
Factor f**4/10 - 3*f**3/10 - 7*f**2/10 + 3*f/2 + 9/5.
(f - 3)**2*(f + 1)*(f + 2)/10
Factor -l**4/4 + 35*l**3/2 - 339*l**2 + 2277*l/2 - 3267/4.
-(l - 33)**2*(l - 3)*(l - 1)/4
Let q**5/3 + 7*q**4/3 - 8*q**3/3 - 164*q**2/3 - 416*q/3 - 320/3 = 0. What is q?
-4, -2, 5
Find w such that 4*w**4 - 36*w**3 - 208*w**2 = 0.
-4, 0, 13
Factor -b**3/2 + 30*b**2 - 837*b/2 - 961.
-(b - 31)**2*(b + 2)/2
Factor 5*t**2/2 - 265*t/2 + 1615.
5*(t - 34)*(t - 19)/2
Factor 15*o**3 + 65*o**2 - 410*o + 240.
5*(o - 3)*(o + 8)*(3*o - 2)
Solve 5*s**5 + 20*s**4 - 135*s**3 - 170*s**2 + 280*s = 0.
-7, -2, 0, 1, 4
Factor -3*c**3/8 + 39*c**2/8 + 21*c/4.
-3*c*(c - 14)*(c + 1)/8
Determine q so that -2*q**4/9 + 50*q**3/9 - 58*q**2/3 - 506*q/9 - 280/9 = 0.
-1, 7, 20
Factor y**4 - 14*y**3 + 53*y**2 - 76*y + 36.
(y - 9)*(y - 2)**2*(y - 1)
Suppose -5*g**3 + 160*g**2 + 335*g + 170 = 0. Calculate g.
-1, 34
Factor 4*s**3 - 60*s**2 - 100*s + 1500.
4*(s - 15)*(s - 5)*(s + 5)
Factor -2*n**3/9 + 20*n**2/9 + 182*n/9 + 160/9.
-2*(n - 16)*(n + 1)*(n + 5)/9
Determine p so that p**3/2 - 7*p/2 - 3 = 0.
-2, -1, 3
Let -6075*b**3/2 + 945*b**2 - 147*b/2 = 0. Calculate b.
0, 7/45
Find h, given that -h**5/5 + 41*h**4/5 - 114*h**3/5 = 0.
0, 3, 38
Suppose -q**5 - 24*q**4 - 213*q**3 - 898*q**2 - 1824*q - 1440 = 0. Calculate q.
-10, -4, -3
Factor -4*b**5/5 - 4*b**4 - 24*b**3/5 + 16*b**2/5 + 32*b/5.
-4*b*(b - 1)*(b + 2)**3/5
Factor -2*u**2/19 - 94*u/19.
-2*u*(u + 47)/19
Factor 2*n**3 + 32*n**2 + 58*n + 28.
2*(n + 1)**2*(n + 14)
Factor -2*g**2 + 694*g + 7876.
-2*(g - 358)*(g + 11)
Determine l, given that -l**5 - 7*l**4 + 3*l**3 + 23*l**2 + 14*l = 0.
-7, -1, 0, 2
Factor -k**2/5 + 11*k/5 - 6.
-(k - 6)*(k - 5)/5
Factor q**5 - 15*q**4 - 214*q**3 - 844*q**2 - 1368*q - 800.
(q - 25)*(q + 2)**3*(q + 4)
Factor -v**2/7 + 12*v/7 + 13/7.
-(v - 13)*(v + 1)/7
Solve 10*q**2/3 - 412*q/3 + 82/3 = 0 for q.
1/5, 41
Suppose -25*y**5 + 130*y**4 - 75*y**3 - 190*y**2 + 40*y = 0. What is y?
-1, 0, 1/5, 2, 4
Factor 5*k**3 + 155*k**2 + 1175*k + 2625.
5*(k + 5)**2*(k + 21)
Factor 4*p**2 - 2684*p.
4*p*(p - 671)
Determine s, given that s**4/5 - s**3 - 183*s**2/5 + 1593*s/5 - 486 = 0.
-15, 2, 9
Factor 2*z**3/11 - 10*z**2/11 - 12*z.
2*z*(z - 11)*(z + 6)/11
Factor -4*u**2/3 - 28*u/3 + 176/3.
-4*(u - 4)*(u + 11)/3
Suppose -335*w**4 + 365*w**3/2 - 15*w**2/2 = 0. Calculate w.
0, 3/67, 1/2
Determine s so that -s**5/3 - 71*s**4/3 - 137*s**3/3 + 71*s**2/3 + 46*s = 0.
-69, -2, -1, 0, 1
Determine j so that -j**2/2 + 83*j - 6889/2 = 0.
83
Factor -6*u**2 - 159*u + 81.
-3*(u + 27)*(2*u - 1)
Solve -2*n**3/15 - 62*n**2/15 - 118*n/3 - 110 = 0 for n.
-15, -11, -5
Suppose 5*z**4 + 10*z**3 - 105*z**2 + 90*z = 0. Calculate z.
-6, 0, 1, 3
Factor f**2 - 134*f + 768.
(f - 128)*(f - 6)
Factor 5*a**2 + 2750*a + 378125.
5*(a + 275)**2
Factor 4*x**2 - 936*x + 54756.
4*(x - 117)**2
Suppose 2*v**5 - 2*v**4 - 10*v**3 + 2*v**2 + 16*v + 8 = 0. Calculate v.
-1, 2
Suppose -3*r**2 - 1698*r - 240267 = 0. Calculate r.
-283
Factor -q**5/8 - 13*q**4/8 + 29*q**3/8 - 15*q**2/8.
-q**2*(q - 1)**2*(q + 15)/8
Solve 3*d**3 + 7*d**2 - 4 = 0 for d.
-2, -1, 2/3
Let -r**5/2 - 45*r**4/2 - 43*r**3/2 + 45*r**2/2 + 22*r = 0. Calculate r.
-44, -1, 0, 1
Factor 21*i**2/2 - i.
i*(21*i - 2)/2
Suppose -32448*t**5 + 55536*t**4/5 + 165849*t**3/5 - 55482*t**2/5 - 3609*t/5 - 54/5 = 0. Calculate t.
-1, -3/104, 2/5, 1
Factor n**2/6 - 17*n/3 + 32/3.
(n - 32)*(n - 2)/6
Let 5*c**2 - 30*c + 45 = 0. What is c?
3
Solve -5*a**2 + 8260*a - 3411380 = 0 for a.
826
Factor -p**2/4 + 51*p/2 - 2601/4.
-(p - 51)**2/4
Factor -14*a**3 + 886*a**2 + 2520*a - 792.
-2*(a - 66)*(a + 3)*(7*a - 2)
Factor -2*o**3 - 3864*o**2 - 1866312*o.
-2*o*(o + 966)**2
What is i in 15*i**5/4 + 246*i**4 + 16659*i**3/4 + 4749*i**2/2 - 59232*i + 23040 = 0?
-32, -5, 2/5, 3
Solve 3*k**4 + 15*k**3 + 3*k**2 - 63*k - 54 = 0.
-3, -1, 2
What is w in -2*w**2/3 + 908*w/3 + 910/3 = 0?
-1, 455
Factor 3*d**2/4 - 3549*d/4 - 3555/2.
3*(d - 1185)*(d + 2)/4
Find v such that 2*v**5/13 - 18*v**4/13 - 108*v**3/13 + 440*v**2/13 - 48*v/13 - 576/13 = 0.
-6, -1, 2, 12
Solve 3*y**2 + 897*y - 2718 = 0 for y.
-302, 3
Suppose 4*r**5/5 + 13*r**4/5 - 57*r**3/5 + 53*r**2/5 - 7*r/5 - 6/5 = 0. What is r?
-6, -1/4, 1
Find h, given that -5*h**2/6 + 995*h/3 + 665/2 = 0.
-1, 399
What is w in -2*w**5/3 - 40*w**4/3 + 58*w**3/3 + 104*w**2 - 168*w = 0?
-21, -3, 0, 2
What is d in 4*d**5 - 168*d**4 - 2632*d**3 - 12160*d**2 - 20700*d - 11000 = 0?
-5, -2, -1, 55
Let -8*k**5/3 - 76*k**4/3 - 12*k**3 = 0. What is k?
-9, -1/2, 0
Solve -3*r**2 + 906*r - 68403 = 0 for r.
151
Factor 2*n**3/7 - 298*n**2/7 + 10950*n/7 + 11250/7.
2*(n - 75)**2*(n + 1)/7
Let -m**5/5 + m**4/5 + 3*m**3/5 - m**2 + 2*m/5 = 0. Calculate m.
-2, 0, 1
Factor 4*x**4/7 - 12*x**3/7 - 8*x**2/7 + 48*x/7 - 32/7.
4*(x - 2)**2*(x - 1)*(x + 2)/7
Factor -2*l**4/11 + 4*l**3/11.
-2*l**3*(l - 2)/11
Let -u**3/6 - 377*u**2/3 - 71440*u/3 - 141376/3 = 0. Calculate u.
-376, -2
Factor 78*l**2 + 238*l/3 + 4/3.
2*(l + 1)*(117*l + 2)/3
Factor u**3 + 6*u**2 + 9*u.
u*(u + 3)**2
Let 12*x**4 + 9*x**3 - 12*x**2 - 9*x = 0. Calculate x.
-1, -3/4, 0, 1
Factor 2*y**3/11 + 466*y**2/11 + 926*y/11 + 42.
2*(y + 1)**2*(y + 231)/11
What is s in -5*s**5 - 15*s**4 + 15*s**3 + 35*s**2 - 30*s = 0?
-3, -2, 0, 1
Let 2*c**2/9 + 316*c/9 - 106/3 = 0. Calculate c.
-159, 1
Factor -3*h**2 + 354*h - 1035.
-3*(h - 115)*(h - 3)
Solve 4*h**5 - 45*h**4 + 47*h**3 + 35*h**2 - 51*h + 10 = 0.
-1, 1/4, 1, 10
Find o, given that -4*o**4 + 56*o**3 - 196*o**2 = 0.
0, 7
Find w, given that 10*w**3 + 906*w**2 + 536*w - 360 = 0.
-90, -1, 2/5
Factor 2*f**2/7 + 170*f/7 - 348/7.
2*(f - 2)*(f + 87)/7
Factor 2*v**2/13 + 44*v/13 + 240/13.
2*(v + 10)*(v + 12)/13
Determine p so that 18*p**2/13 + 4*p/13 = 0.
-2/9, 0
Find n such that 4*n**3 - 254*n**2 + 3968*n + 2048 = 0.
-1/2, 32
Determine l so that 3*l**3 - 3552*l**2 + 7095*l - 3546 = 0.
1, 1182
Factor 2*o**2/13 + 28884*o/13 + 104285682/13.
2*(o + 7221)**2/13
Factor -5*g**3 - 85*g**2 + 550*g.
-5*g*(g - 5)*(g + 22)
Factor -2*f**2/7 - 3168*f/7 - 1254528/7.
-2*(f + 792)**2/7
What is r in 243*r**3/4 - 19629*r**2/2 - 4371*r - 486 = 0?
-2/9, 162
Factor 6*b**4 + 52*b**3 + 152*b**2 + 176*b + 64.
2*(b + 2)**2*(b + 4)*(3*b + 2)
Let 372*g**5 + 1629*g**4 + 2436*g**3 + 1497*g**2 + 342*g + 24 = 0. Calculate g.
-2, -1, -1/4, -4/31
Find l such that 4*l**2 + 92*l - 4232 = 0.
-46, 23
What is a in 2*a**3/19 - 46*a**2/19 - 226*a/19 + 270/19 = 0?
-5, 1, 27
Find r such that -27*r**4 - 87*r**3 - 72*r**2 - 12*r = 0.
-2, -1, -2/9, 0
Factor 4*k**3 + 64*k**2 + 320*k + 512.
4*(k + 4)**2*(k + 8)
Factor -2*o**2/7 - 100*o/7 + 2278/7.
-2*(o - 17)*(o + 67)/7
What is u in 2*u**4/21 - 16*u**3/21 + 34*u**2/21 - 20*u/21 = 0?
0, 1, 2, 5
Determine l, given that -9*l**3 - 129*l**2 - 447*l - 135 = 0.
-9, -5, -1/3
Determine r so that 50*r**3 - 15*r**2 - 30*r - 5 = 0.
-1/2, -1/5, 1
Find n such that -4*n**3/7 - 8*n**2 = 0.
-14, 0
Let -u**4 - 18*u**3 - 9*u**2 + 648*u - 1296 = 0. What is u?
-12, 3
Factor -c**3/7 - 1107*c**2/7 + 2217*c/7 - 1109/7.
-(c - 1)**2*(c + 1109)/7
Factor o**3/10 + 19*o**2/10.
o**2*(o + 19)/10
Factor -5*c**4 - 10*c**3 + 10*c + 5.
-5*(c - 1)*(c + 1)**3
Solve -5*l*