(s - 322)*(s - 2)
Factor 27*c**2/4 - 111*c/2 + 12.
3*(c - 8)*(9*c - 2)/4
Factor -2*x**2/11 - 32*x/11 - 56/11.
-2*(x + 2)*(x + 14)/11
Solve 243*n**5 - 351*n**4 + 120*n**3 - 12*n**2 = 0 for n.
0, 2/9, 1
Factor -2*s**2/7 - 76*s/7 - 624/7.
-2*(s + 12)*(s + 26)/7
Solve 2*g**2 - 290*g + 1128 = 0.
4, 141
Find u, given that 4*u**3 - 4788*u**2 + 1435200*u - 1430416 = 0.
1, 598
Factor g**2 - 21*g - 72.
(g - 24)*(g + 3)
Factor l**2/6 - 11*l + 363/2.
(l - 33)**2/6
Solve -4*o**5 + 44*o**4 - 132*o**3 + 20*o**2 + 200*o = 0.
-1, 0, 2, 5
Factor x**2/3 + 230*x/3 + 13225/3.
(x + 115)**2/3
Factor 2*a**2/19 - 50/19.
2*(a - 5)*(a + 5)/19
Suppose -2*z**4 - 28*z**3 + 272*z**2 - 452*z + 210 = 0. What is z?
-21, 1, 5
Suppose -u**3/6 - u**2 + 17*u/2 - 22/3 = 0. What is u?
-11, 1, 4
Factor -4*o**3 - 20*o**2 + 132*o - 108.
-4*(o - 3)*(o - 1)*(o + 9)
Factor -2*n**3/9 + 272*n**2 - 248878*n/3 - 1503076/9.
-2*(n - 613)**2*(n + 2)/9
Factor 8*t**3/5 + 44*t**2/5 - 124*t/5 - 144.
4*(t - 4)*(t + 5)*(2*t + 9)/5
Let 3*h**5/7 - 48*h**4/7 + 99*h**3/7 + 318*h**2/7 - 1164*h/7 + 936/7 = 0. Calculate h.
-3, 2, 13
Factor -2*m**3/13 + 1026*m**2/13 - 132096*m/13 + 131072/13.
-2*(m - 256)**2*(m - 1)/13
Find h, given that h**3/2 - 75*h**2/2 + 675*h/2 - 1625/2 = 0.
5, 65
Let -2*a**5/5 + 18*a**4 - 16*a**3 - 72*a**2 + 352*a/5 = 0. Calculate a.
-2, 0, 1, 2, 44
Determine b so that 16*b**5 + 20*b**4 - 120*b**3 - 20*b**2 + 104*b = 0.
-13/4, -1, 0, 1, 2
Factor -j**3/5 + 3*j**2/5 + j/5 - 3/5.
-(j - 3)*(j - 1)*(j + 1)/5
Suppose -10*z**2/17 + 14*z + 300/17 = 0. What is z?
-6/5, 25
Suppose -5*i**3 - 570*i**2 + 20*i + 2280 = 0. What is i?
-114, -2, 2
Suppose -30*d**3 + 9*d**2 + 246*d - 288 = 0. What is d?
-16/5, 3/2, 2
Factor 2*r**3 - 38*r**2 - 82*r - 42.
2*(r - 21)*(r + 1)**2
Suppose 20*i**5 - 128*i**4 - 1472*i**3 - 3112*i**2 - 852*i + 936 = 0. What is i?
-3, -1, 2/5, 13
Let -2*q**2 + 10*q - 8 = 0. Calculate q.
1, 4
What is r in r**4/3 - 7*r**3 + 124*r**2/3 - 92*r + 208/3 = 0?
2, 4, 13
Factor 3*k**2 - 549*k - 2820.
3*(k - 188)*(k + 5)
Find y, given that y**4/4 - 5*y**3 - 235*y**2/4 - 365*y/2 - 174 = 0.
-4, -3, -2, 29
Find p, given that -p**4/4 - 25*p**3/2 - 204*p**2 - 2023*p/2 + 4913/4 = 0.
-17, 1
Suppose -4*p**2 - 2728*p - 465124 = 0. What is p?
-341
Solve -v**3 + 1948*v**2 - 7780*v + 7776 = 0.
2, 1944
Let -5*h**4 + 7640*h**3 - 4377720*h**2 + 1114859360*h - 106469068880 = 0. What is h?
382
Determine h so that -2*h**3 - 58*h**2 - 560*h - 1800 = 0.
-10, -9
Factor 20*k**3 + 35*k**2 + 10*k - 5.
5*(k + 1)**2*(4*k - 1)
Suppose -2*m**3/7 - 44*m**2/7 - 30*m = 0. Calculate m.
-15, -7, 0
Solve -14*t**3/13 - 542*t**2/13 + 716*t/13 - 160/13 = 0.
-40, 2/7, 1
Factor -115*x**3 - 5*x**2 + 115*x + 5.
-5*(x - 1)*(x + 1)*(23*x + 1)
Suppose -16*v**4 + 720*v**3 - 8452*v**2 + 7920*v - 1936 = 0. Calculate v.
1/2, 22
Factor -3*l**2 - 114*l - 111.
-3*(l + 1)*(l + 37)
Suppose -3*w**3 - 15*w**2 + 843*w - 3465 = 0. What is w?
-21, 5, 11
Solve -2*j**3/5 - 18*j**2 + 324*j/5 + 1728/5 = 0.
-48, -3, 6
Find n such that 194481*n**4 - 185220*n**3 + 66150*n**2 - 10500*n + 625 = 0.
5/21
Suppose 2*q**2/9 - 1832*q/9 + 419528/9 = 0. What is q?
458
Factor 4*m**3 + 17796*m**2 + 26391468*m + 13046182348.
4*(m + 1483)**3
Factor u**3/2 + u**2 + u/2.
u*(u + 1)**2/2
Factor -x**5 - 3*x**4 + 4*x**3 + 12*x**2.
-x**2*(x - 2)*(x + 2)*(x + 3)
Factor 2*x**3/5 - 634*x**2/5 + 10112*x - 49928/5.
2*(x - 158)**2*(x - 1)/5
Factor -4*q**2 - 4440*q - 1232100.
-4*(q + 555)**2
Determine g so that 10*g**4 + 1264*g**3 - 2046*g**2 + 260*g + 512 = 0.
-128, -2/5, 1
Let -z**5/4 - z**4/4 + 17*z**3/4 - 15*z**2/4 = 0. Calculate z.
-5, 0, 1, 3
Determine a so that -a**5 + 7*a**4 - 5*a**3 - 43*a**2 + 42*a + 72 = 0.
-2, -1, 3, 4
Factor 4*c**4/5 + 956*c**3/5 + 11328*c**2 - 11520*c.
4*c*(c - 1)*(c + 120)**2/5
Let 5*w**4/2 + 3*w**3/4 - 15*w**2/2 + 11*w/4 + 3/2 = 0. Calculate w.
-2, -3/10, 1
Suppose r**5/4 - 3*r**4 - 8*r**3 + 12*r**2 + 28*r = 0. What is r?
-2, 0, 2, 14
Find n, given that -2*n**5/11 - 12*n**4/11 + 676*n**3/11 + 4056*n**2/11 - 57122*n/11 - 342732/11 = 0.
-13, -6, 13
Factor -u**3/4 + u**2/2 + 29*u/4 - 15/2.
-(u - 6)*(u - 1)*(u + 5)/4
Factor 4*g**3 - 1608*g**2 + 3204*g - 1600.
4*(g - 400)*(g - 1)**2
Factor f**5 - 2*f**4 - 5*f**3 + 6*f**2.
f**2*(f - 3)*(f - 1)*(f + 2)
Factor g**2/4 - 1255*g/2 + 1575025/4.
(g - 1255)**2/4
Suppose g**2/6 - 4*g/3 + 5/2 = 0. What is g?
3, 5
Factor 3*g**4 + 174*g**3 + 1428*g**2 - 34680*g.
3*g*(g - 10)*(g + 34)**2
Find g, given that 5*g**4 - 10*g**3 - 185*g**2 - 410*g - 240 = 0.
-3, -2, -1, 8
Solve 42*v**3 + 58*v**2 - 48*v + 8 = 0.
-2, 2/7, 1/3
Find l, given that -l**5/2 - 2*l**4 + 5*l**3/2 = 0.
-5, 0, 1
Determine w so that -5*w**3 + 2545*w**2 - 5075*w + 2535 = 0.
1, 507
Let 60*q**3 + 115*q**2 - 190*q + 15 = 0. Calculate q.
-3, 1/12, 1
Let -294*v**4 - 3759*v**3 - 15630*v**2 - 22464*v - 7776 = 0. What is v?
-36/7, -2, -1/2
Factor -4*o**3/5 - 116*o**2/5.
-4*o**2*(o + 29)/5
Suppose -3*k**4 - 392*k**3 - 1031*k**2 - 898*k - 256 = 0. What is k?
-128, -1, -2/3
Factor -2*w**2/17 - 196*w/17 - 194/17.
-2*(w + 1)*(w + 97)/17
Factor -n**3/3 - 3*n**2 + 4*n + 20/3.
-(n - 2)*(n + 1)*(n + 10)/3
Factor c**3/6 + c**2 - c/6 - 1.
(c - 1)*(c + 1)*(c + 6)/6
Find n, given that -2*n**3 + 268*n**2 + 1096*n + 1104 = 0.
-2, 138
Factor 4*v**3 + 44*v**2 - 5472*v + 60912.
4*(v - 18)**2*(v + 47)
Let -2*d**2/7 + 10*d/7 - 12/7 = 0. Calculate d.
2, 3
Factor -2*v**3/15 - 52*v**2/15 - 142*v/15 - 92/15.
-2*(v + 1)*(v + 2)*(v + 23)/15
What is n in -3*n**3/8 - 357*n**2/4 - 10797*n/2 - 10443 = 0?
-118, -2
Factor -155*v**2 + 635*v/2 - 15.
-5*(v - 2)*(62*v - 3)/2
Let -5*d**5/4 + 9*d**4/2 - 17*d**3/4 + d = 0. Calculate d.
-2/5, 0, 1, 2
Factor -3*a**4 + 279*a**3 - 8424*a**2 + 81648*a.
-3*a*(a - 36)**2*(a - 21)
Factor -2*f**2/3 + 2530*f/3 + 844.
-2*(f - 1266)*(f + 1)/3
Factor 3*k**2 + 4710*k - 4713.
3*(k - 1)*(k + 1571)
Find x, given that x**2/3 - 62*x/3 + 961/3 = 0.
31
Suppose 2*a**3 - 16*a**2 - 2*a + 16 = 0. Calculate a.
-1, 1, 8
Determine l so that l**3 - 15*l**2 + 72*l - 112 = 0.
4, 7
Factor -3*w**2 - 87*w + 4290.
-3*(w - 26)*(w + 55)
Determine r, given that -4*r**3 - 204*r**2 - 3360*r - 17600 = 0.
-20, -11
What is h in -5*h**5/7 - 2*h**4/7 = 0?
-2/5, 0
Solve -2*d**2/3 + 2*d = 0 for d.
0, 3
Factor 87*r**3/5 + 36*r**2/5.
3*r**2*(29*r + 12)/5
Suppose -3*l**5 + 33*l**4 - 18*l**3 - 132*l**2 + 120*l = 0. What is l?
-2, 0, 1, 2, 10
Factor -r**2 + 58*r - 216.
-(r - 54)*(r - 4)
Factor g**5/6 - 4*g**4/3 + 11*g**3/3 - 4*g**2 + 3*g/2.
g*(g - 3)**2*(g - 1)**2/6
Determine m, given that 8*m**5 - 52*m**4 + 84*m**3 - 8*m**2 - 32*m = 0.
-1/2, 0, 1, 2, 4
Solve 5*v**5/2 + 165*v**4/4 + 895*v**3/4 + 855*v**2/2 + 145*v - 210 = 0.
-7, -6, -2, 1/2
Suppose -5*q**2/3 + 9070*q/3 - 6040 = 0. What is q?
2, 1812
Factor -k**3/3 + 5*k**2/3 + 2*k.
-k*(k - 6)*(k + 1)/3
Determine q so that 4*q**5/5 + 256*q**4/5 + 252*q**3/5 = 0.
-63, -1, 0
Factor 28*x**3 + 68*x**2 + 40*x.
4*x*(x + 1)*(7*x + 10)
Find j such that 14*j**5/13 + 1440*j**4/13 + 49774*j**3/13 + 591668*j**2/13 + 464712*j/13 - 78608/13 = 0.
-34, -1, 1/7
Factor 5*h**5/3 + 23*h**4/3 + 14*h**3 + 38*h**2/3 + 17*h/3 + 1.
(h + 1)**4*(5*h + 3)/3
Determine t, given that 7*t**2/2 - 729*t/2 + 52 = 0.
1/7, 104
Let -51*q**5 + 6*q**4 + 153*q**3 - 120*q**2 + 12*q = 0. Calculate q.
-2, 0, 2/17, 1
Find w, given that 2*w**4/11 - 16*w**3/11 = 0.
0, 8
Factor -2*y**3/5 - 132*y**2/5 + 54*y - 136/5.
-2*(y - 1)**2*(y + 68)/5
Find y such that -3*y**3 - 75*y**2 + 3*y + 75 = 0.
-25, -1, 1
Find i, given that 14*i**3/5 - 298*i**2/5 + 364*i/5 - 16 = 0.
2/7, 1, 20
What is g in 2*g**4/5 + 676*g**3/5 - 6192*g**2/5 + 18684*g/5 - 18738/5 = 0?
-347, 3
Factor -d**2 - 2*d - 1.
-(d + 1)**2
Find h such that 4*h**2 - 2096*h + 274576 = 0.
262
Solve 4*u**4 + 216*u**3/5 + 676*u**2/5 + 576*u/5 - 144/5 = 0.
-6, -3, -2, 1/5
Suppose 2*h**4 - 264*h**3 + 8426*h**2 + 20100*h - 71824 = 0. Calculate h.
-4, 2, 67
Find h, given that h**4/5 + h**3 + 4*h**2/5 = 0.
-4, -1, 0
Suppose -4*v**4 - 656*v**3 - 1292*v**2 + 656*v + 1296 = 0. What is v?
-162, -2, -1, 1
Factor -2*v**5 - 8*v**4 + 32*v**2 + 32*v.
-2*v*(v - 2)*(v + 2)**3
Suppose c**4/6 + 21*c**3/2 - 65*c**2/3 = 0. Calculate c.
-65, 0, 2
Find z such that -145*z**3 + 760*z**2 + 1955*z + 1050 = 0.
-1, 210/29
Find y such that -2*y**5 + 80*y**4 + 82*y**3 = 0.
-1, 0