 2/29, 2
Let 5*k**3 + 45*k**2 + 90*k = 0. Calculate k.
-6, -3, 0
Suppose -4*t**5 - 8*t**4 + 16*t**3 + 8*t**2 - 12*t = 0. Calculate t.
-3, -1, 0, 1
Factor 5*f**5 - 130*f**4 + 925*f**3 - 2000*f**2.
5*f**2*(f - 16)*(f - 5)**2
Determine f, given that 2*f**5 + 6*f**4 - 8*f**3 - 24*f**2 = 0.
-3, -2, 0, 2
Find o, given that 3*o**5/5 - 72*o**4/5 + 567*o**3/5 - 1458*o**2/5 = 0.
0, 6, 9
Find k, given that -2*k**4 - 2214*k**3 - 613826*k**2 - 607194*k + 1223236 = 0.
-553, -2, 1
Suppose 3*t**3 + 297*t**2 + 9801*t + 107811 = 0. Calculate t.
-33
Find k such that 21*k**2/4 - 57*k/4 + 9 = 0.
1, 12/7
Let -5*q**3 + 130*q**2 - 1045*q + 2420 = 0. What is q?
4, 11
Factor -10*q**3/3 - 14*q**2/3 + 116*q/3 + 16.
-2*(q - 3)*(q + 4)*(5*q + 2)/3
Let 50*k**5 + 20510*k**4 - 37032*k**3 + 19768*k**2 - 3296*k = 0. Calculate k.
-412, 0, 2/5, 1
Factor -3*s**4 - 3*s**3 + 9*s**2 + 15*s + 6.
-3*(s - 2)*(s + 1)**3
Factor 2*v**5 + 24*v**4 + 112*v**3 + 256*v**2 + 288*v + 128.
2*(v + 2)**4*(v + 4)
Let 12*c**3 - 8*c**2 - 4*c = 0. What is c?
-1/3, 0, 1
Factor -4*p**2 + 1024*p - 2032.
-4*(p - 254)*(p - 2)
Factor -c**4 - 59*c**3 - 838*c**2 + 1020*c + 1800.
-(c - 2)*(c + 1)*(c + 30)**2
Factor 3*g**5 + 24*g**4 - 171*g**3 - 1200*g**2 + 1344*g.
3*g*(g - 7)*(g - 1)*(g + 8)**2
Factor 5*g**5 - 80*g**4 - 130*g**3 + 820*g**2 - 955*g + 340.
5*(g - 17)*(g - 1)**3*(g + 4)
Factor 25*g**3/4 + 30*g**2 + 21*g + 4.
(g + 4)*(5*g + 2)**2/4
Factor -3*l**2 + 6*l - 3.
-3*(l - 1)**2
Let 3*h**3 - 120*h**2 - 516*h - 528 = 0. What is h?
-2, 44
Solve y**3/5 - 284*y**2/5 + 20164*y/5 = 0.
0, 142
Factor -2*x**3/5 - 146*x**2/5 + 768*x/5 - 936/5.
-2*(x - 3)*(x - 2)*(x + 78)/5
Suppose -l**5/4 + 9*l**4 - 41*l**3 + 143*l**2/2 - 219*l/4 + 31/2 = 0. What is l?
1, 2, 31
Factor -2*l**2/5 + 4*l/5.
-2*l*(l - 2)/5
Factor -12*z**3 - 168*z**2 - 159*z - 39.
-3*(z + 13)*(2*z + 1)**2
Determine c so that -2*c**5/13 + 2*c**4 + 2*c**3/13 - 2*c**2 = 0.
-1, 0, 1, 13
Factor 2*f**4 + 490*f**3 - 6*f**2 - 1474*f - 980.
2*(f - 2)*(f + 1)**2*(f + 245)
Factor -4*w**3 - 156*w**2 + 324*w - 164.
-4*(w - 1)**2*(w + 41)
Factor -2*n**4 + 2310*n**3 - 889350*n**2 + 114133250*n.
-2*n*(n - 385)**3
Determine h so that 4*h**5/17 + 10*h**4/17 - 2*h**3/17 - 14*h**2/17 - 2*h/17 + 4/17 = 0.
-2, -1, 1/2, 1
Factor -f**2 + 22*f.
-f*(f - 22)
Determine b so that 35*b**5 + 60*b**4 - 20*b**3 - 70*b**2 - 15*b + 10 = 0.
-1, 2/7, 1
Suppose 3*b**2 - 5448*b + 2473392 = 0. What is b?
908
Determine a, given that -4*a**4 - 3492*a**3 + 21048*a**2 - 42160*a + 28128 = 0.
-879, 2
Factor z**3/3 - 179*z**2/3 - 916*z/3 - 736/3.
(z - 184)*(z + 1)*(z + 4)/3
Factor -2*c**2/9 + 2*c - 16/9.
-2*(c - 8)*(c - 1)/9
Factor t**3/10 - 29*t**2/5 + 368*t/5 - 1344/5.
(t - 42)*(t - 8)**2/10
Factor 20*d**3 + 2388*d**2 + 7912*d + 2784.
4*(d + 3)*(d + 116)*(5*d + 2)
Find j such that 3*j**2 - 3*j - 6 = 0.
-1, 2
Factor -51*x**3 + 159*x**2 + 900*x - 108.
-3*(x - 6)*(x + 3)*(17*x - 2)
Factor -14*t**3/11 - 60*t**2/11 - 16*t/11.
-2*t*(t + 4)*(7*t + 2)/11
Solve -2*b**2 - 58*b - 56 = 0.
-28, -1
Let -5*v**3 + 30*v**2 - 15*v - 50 = 0. What is v?
-1, 2, 5
Determine d so that 5*d**4/6 - 2*d**3/3 - 11*d**2/6 - d/3 = 0.
-1, -1/5, 0, 2
Let w**5/2 - 5*w**4 + 16*w**3 - 19*w**2 + 15*w/2 = 0. Calculate w.
0, 1, 3, 5
Determine m, given that 3*m**5 + 18*m**4 + 3*m**3 - 72*m**2 + 48*m = 0.
-4, 0, 1
Factor m**4/3 - 8*m**3 + 157*m**2/3 - 82*m + 112/3.
(m - 14)*(m - 8)*(m - 1)**2/3
Let -5*x**4 + 125*x**3 - 70*x**2 - 1160*x - 960 = 0. What is x?
-2, -1, 4, 24
Determine f so that -f**2/9 + f/9 = 0.
0, 1
Factor w**4 + 18*w**3 + 80*w**2 - 18*w - 81.
(w - 1)*(w + 1)*(w + 9)**2
Factor 4*p**3 - 204*p**2 - 868*p - 660.
4*(p - 55)*(p + 1)*(p + 3)
Solve 2*g**4/11 - 240*g**3/11 + 700*g**2/11 + 240*g/11 - 702/11 = 0.
-1, 1, 3, 117
Factor -n**3 + 7*n**2 - 4*n - 12.
-(n - 6)*(n - 2)*(n + 1)
What is l in 2*l**2 + 14*l + 20 = 0?
-5, -2
Let -50*i**3 - 1230*i**2 - 3942*i - 3402 = 0. What is i?
-21, -9/5
Factor -2*m**2/7 - 24*m/7 + 8.
-2*(m - 2)*(m + 14)/7
Factor t**2/5 - 41*t/5 + 348/5.
(t - 29)*(t - 12)/5
Let -3*l**4/2 + 6*l**3 + 237*l**2/2 + 291*l + 180 = 0. What is l?
-5, -2, -1, 12
Factor 2*u**2 + 4*u - 96.
2*(u - 6)*(u + 8)
Solve -3*t**4 + 120*t**3 + 387*t**2 = 0.
-3, 0, 43
Factor -2*p**2/3 - 28*p/3 - 80/3.
-2*(p + 4)*(p + 10)/3
Factor -s**3/5 + 23*s**2/5 - 32*s + 60.
-(s - 10)**2*(s - 3)/5
Factor -2*k**2 - 66*k + 68.
-2*(k - 1)*(k + 34)
Find d, given that -d**4/2 - 25*d**3/2 - 108*d**2 - 352*d - 256 = 0.
-8, -1
Factor x**2 + 84*x + 1764.
(x + 42)**2
Factor -3*m**3 + 244*m**2 + 165*m - 82.
-(m - 82)*(m + 1)*(3*m - 1)
Let -2*k**5 - 8256*k**4/7 - 1215976*k**3/7 + 50908*k**2 + 1215990*k/7 - 348100/7 = 0. Calculate k.
-295, -1, 2/7, 1
Determine u so that -10*u**5 + 44*u**4 + 94*u**3 + 16*u**2 - 24*u = 0.
-1, 0, 2/5, 6
Determine t so that 2*t**2 + 1654*t = 0.
-827, 0
What is d in 2*d**3 - 68*d**2 + 530*d + 600 = 0?
-1, 15, 20
Factor j**4/5 + 36*j**3/5 - 48*j**2 + 496*j/5 - 336/5.
(j - 2)**3*(j + 42)/5
Factor 2*k**2/5 + 2324*k/5 + 675122/5.
2*(k + 581)**2/5
Suppose 15*v**5/2 - 425*v**4/2 - 635*v**3 + 445*v**2 + 1255*v/2 - 465/2 = 0. Calculate v.
-3, -1, 1/3, 1, 31
Factor -z**2/7 - 2970*z/7 - 2205225/7.
-(z + 1485)**2/7
Solve 2*q**4 - 17*q**3/3 + 8*q**2/3 + 5*q/3 - 2/3 = 0.
-1/2, 1/3, 1, 2
Factor -3*j**3 + 18*j**2 + 3*j - 18.
-3*(j - 6)*(j - 1)*(j + 1)
Find z, given that 2*z**5/15 + 14*z**4/15 - 16*z**3/15 = 0.
-8, 0, 1
Find u, given that -3*u**2/4 - 15*u = 0.
-20, 0
Factor -4*b**2 + 7688*b - 3694084.
-4*(b - 961)**2
Find v, given that 2*v**3/11 - 38*v**2/11 - 26*v/11 + 2366/11 = 0.
-7, 13
Suppose -25*b**4 - 160*b**3 - 376*b**2 - 384*b - 144 = 0. What is b?
-2, -6/5
Factor 3*z**4/7 + 90*z**3/7 + 675*z**2/7.
3*z**2*(z + 15)**2/7
Factor -2*l**2/13 + 19772*l/13 - 48866498/13.
-2*(l - 4943)**2/13
Determine k, given that -2*k**4/5 - 2*k**3/5 + 6*k**2/5 + 2*k/5 - 4/5 = 0.
-2, -1, 1
Determine w, given that -105*w**4 - 429*w**3 + 516*w**2 + 180*w = 0.
-5, -2/7, 0, 6/5
Suppose 2*j**5/21 - 1840*j**4/21 + 139834*j**3/7 + 81048*j**2 + 60984*j = 0. What is j?
-3, -1, 0, 462
Let 9*l**3/5 - 546*l**2/5 + 1692*l - 1080 = 0. What is l?
2/3, 30
Factor 2*n**5/7 + 10*n**4/7 + 16*n**3/7 + 8*n**2/7.
2*n**2*(n + 1)*(n + 2)**2/7
Factor -4*s**4 - 4*s**3 + 4*s**2 + 4*s.
-4*s*(s - 1)*(s + 1)**2
What is z in -z**5/6 + 4*z**3 - 32*z**2/3 + 8*z = 0?
-6, 0, 2
Determine w, given that w**3/3 + 92*w**2/3 + 2365*w/3 + 3698 = 0.
-43, -6
Factor -2*v**4/5 - 2*v**3 - 16*v**2/5 - 8*v/5.
-2*v*(v + 1)*(v + 2)**2/5
Factor w**3/5 - 147*w**2/5 + 7203*w/5 - 117649/5.
(w - 49)**3/5
What is m in -m**5 - 6*m**4 - 2*m**3 + 16*m**2 + 3*m - 10 = 0?
-5, -2, -1, 1
Solve 4446*n**4/5 + 1094*n**3 + 1032*n**2/5 + 8*n/5 = 0.
-1, -2/9, -2/247, 0
Find y, given that -24*y**4/7 + 188*y**3/7 - 424*y**2/7 + 212*y/7 + 48/7 = 0.
-1/6, 1, 3, 4
Determine h, given that -h**2 - 19*h + 42 = 0.
-21, 2
Factor r**2/2 + 3303*r/10 - 661/5.
(r + 661)*(5*r - 2)/10
Factor -s**4/4 + 11*s**3/4.
-s**3*(s - 11)/4
Factor -p**2 - 199*p + 402.
-(p - 2)*(p + 201)
Factor -w**3 - 1027*w**2 - 263168*w + 264196.
-(w - 1)*(w + 514)**2
Factor -2*z**3 + 2104*z**2 - 555450*z + 1102500.
-2*(z - 525)**2*(z - 2)
Find k, given that k**2/2 - 45*k/2 + 250 = 0.
20, 25
Factor -4*g**2 + 408*g - 10404.
-4*(g - 51)**2
Let 3*l**5 - 120*l**4 - 384*l**3 - 138*l**2 + 381*l + 258 = 0. Calculate l.
-2, -1, 1, 43
Factor -2*b**3/11 - 52*b**2/11.
-2*b**2*(b + 26)/11
Find g, given that -2*g**5/7 - 20*g**4/7 - 74*g**3/7 - 128*g**2/7 - 104*g/7 - 32/7 = 0.
-4, -2, -1
Factor -t**3/4 - 3*t**2/2.
-t**2*(t + 6)/4
Factor 2*v**3/3 + 8*v**2 - 18*v + 28/3.
2*(v - 1)**2*(v + 14)/3
Factor -275282*i**2/3 + 1484*i/3 - 2/3.
-2*(371*i - 1)**2/3
Find f such that -f**2/4 - 65*f - 4225 = 0.
-130
Let 5*s**2 + 240*s + 1260 = 0. Calculate s.
-42, -6
Factor -196*h**4 + 38696*h**3 - 1898836*h**2 - 1094544*h - 156816.
-4*(h - 99)**2*(7*h + 2)**2
Factor -2*a**3/5 + 16*a**2/5 + 8*a.
-2*a*(a - 10)*(a + 2)/5
What is k in 2*k**3/7 - 8*k**2/7 + 2*k/7 + 12/7 = 0?
-1, 2, 3
Factor 2*b**4 - 9072*b**3.
2*b**3*(b - 4536)
Factor -i**3/5 + 42*i**2/5 - 396*i/5 + 216.
-(i - 30)*(i - 6)**2/5
Factor 2*j**5/9 - 20*j**4/9 + 26*j**3/3 - 148*j**2/9 + 136*j/9 - 16/3.
2*(j - 3)*(j - 2)**3*(j - 1)/9
Find u such that -12*u**5 + 92*u**4 - 200*u**3 + 96*u**2 = 0.
0, 2/3, 3, 4
Factor -2*t**3/19 - 212*t**2/19 - 