actor -f**3 + 8*f**2 + 171*f + 162.
-(f - 18)*(f + 1)*(f + 9)
Factor -4*h**2/7 + 2248*h/7 - 8928/7.
-4*(h - 558)*(h - 4)/7
Find n, given that 6591*n**5 - 1393743*n**4 + 642330*n**3 - 98772*n**2 + 5064*n = 0.
0, 2/13, 211
Factor -20*g**4 - 145*g**3 + 125*g**2 + 40*g.
-5*g*(g - 1)*(g + 8)*(4*g + 1)
Factor 2*i**3 + 48*i**2 - 158*i + 108.
2*(i - 2)*(i - 1)*(i + 27)
Solve 2*j**5 - 16*j**4 - 132*j**3 + 472*j**2 - 494*j + 168 = 0.
-7, 1, 12
Factor -2*s**3/9 - 238*s**2/9 + 2*s/9 + 238/9.
-2*(s - 1)*(s + 1)*(s + 119)/9
Find g such that 5*g**2 - 330*g + 5425 = 0.
31, 35
Find s such that -4*s**4 - 480*s**3 + 1476*s**2 = 0.
-123, 0, 3
What is c in -5*c**3 + 2*c**2 + 20*c - 8 = 0?
-2, 2/5, 2
Suppose 33*c**5/7 - 15*c**4 - 2655*c**3/7 - 9315*c**2/7 - 8910*c/7 + 1944/7 = 0. Calculate c.
-3, 2/11, 12
Factor -2*f**3/5 - 5216*f**2/5 - 679122*f + 1362420.
-2*(f - 2)*(f + 1305)**2/5
Factor 9*z**2 + 42*z + 49.
(3*z + 7)**2
Factor -3*w**4 - 12*w**3 + 9*w**2 + 54*w.
-3*w*(w - 2)*(w + 3)**2
Let -w**2/5 - 1214*w/5 - 368449/5 = 0. What is w?
-607
Factor m**4/2 - 9*m**3 + 97*m**2/2 - 72*m + 32.
(m - 8)**2*(m - 1)**2/2
Solve -2*h**5/7 + 204*h**4 - 341272*h**3/7 + 27629460*h**2/7 - 78524262*h/7 - 106496424/7 = 0.
-1, 4, 237
Factor 3*p**4/5 - 408*p**3/5 + 2376*p**2/5 - 4704*p/5 + 624.
3*(p - 130)*(p - 2)**3/5
Factor 3*f**4 - 2133*f**3 + 378066*f**2 + 384480*f - 760416.
3*(f - 356)**2*(f - 1)*(f + 2)
Factor -2*q**4/5 + 76*q**3/5 - 146*q**2/5 + 72*q/5.
-2*q*(q - 36)*(q - 1)**2/5
Factor -l**2/5 - 12*l/5.
-l*(l + 12)/5
Find p such that 4*p**4/5 + 26*p**3/15 - 8*p**2/3 - 46*p/15 + 16/5 = 0.
-8/3, -3/2, 1
Factor -24*f**2 - 38*f - 14.
-2*(f + 1)*(12*f + 7)
Find d, given that -21*d**5 + 309*d**4 - 1233*d**3 + 1407*d**2 - 246*d - 216 = 0.
-2/7, 1, 4, 9
Factor -3*g**2/5 + 15*g - 138/5.
-3*(g - 23)*(g - 2)/5
Solve -8*g**4 - 60*g**3 - 297*g**2/2 - 135*g - 81/2 = 0 for g.
-3, -3/4
Find i, given that 3*i**5 + 639*i**4 + 43998*i**3 + 874686*i**2 - 7338033*i - 8169357 = 0.
-73, -1, 7
Suppose -3*p**3/5 + 45*p**2 + 1431*p/5 + 2187/5 = 0. What is p?
-3, 81
Factor -10*s**3 + 65*s**2 + 35*s.
-5*s*(s - 7)*(2*s + 1)
Find w, given that 2*w**3 + 568*w**2 = 0.
-284, 0
Find w such that -2*w**5 - 32*w**4 - 168*w**3 - 224*w**2 + 640*w + 1536 = 0.
-6, -4, 2
Factor 2*u**3/5 - 2994*u**2/5 + 1119006*u/5 + 1122002/5.
2*(u - 749)**2*(u + 1)/5
Factor -2*u**2/7 - 152*u/7 - 150/7.
-2*(u + 1)*(u + 75)/7
Factor -5*i**4 - 20*i**3 + 960*i**2.
-5*i**2*(i - 12)*(i + 16)
Suppose -2*z**5 + 28*z**4 - 20*z**3 - 88*z**2 + 134*z - 52 = 0. What is z?
-2, 1, 13
What is n in 128*n**5/5 - 128*n**4/5 - 24*n**3/5 + 4*n**2 + 4*n/5 = 0?
-1/4, 0, 1/2, 1
Factor -m**2/4 + 37*m/2 - 1369/4.
-(m - 37)**2/4
Let 25*a**5 - 70*a**4 + 69*a**3 - 28*a**2 + 4*a = 0. Calculate a.
0, 2/5, 1
Determine a so that 4*a**5 + 144*a**4 + 1856*a**3 + 9944*a**2 + 18876*a + 10648 = 0.
-11, -2, -1
Let -4*l**5/5 + 36*l**4/5 - 88*l**3/5 + 24*l**2/5 + 92*l/5 - 12 = 0. Calculate l.
-1, 1, 3, 5
Factor -2*b**2/19 - 36*b/19.
-2*b*(b + 18)/19
Factor -111005*z**4 + 449980*z**3 - 467940*z**2 + 24160*z - 320.
-5*(z - 2)**2*(149*z - 4)**2
Suppose z**5/3 - 128*z**4/3 - 219*z**3 - 1060*z**2/3 - 532*z/3 = 0. What is z?
-2, -1, 0, 133
Factor 7*k**2 + 47*k/4 - 9/2.
(k + 2)*(28*k - 9)/4
Find d, given that 2*d**3 + 7018*d**2 + 6160048*d + 6153032 = 0.
-1754, -1
Factor 2*m**2/5 - 136*m/5 + 1862/5.
2*(m - 49)*(m - 19)/5
Solve -3*t**4 - 105*t**3 + 840*t**2 - 1740*t + 1008 = 0.
-42, 1, 2, 4
Factor -5*t**3/4 + 175*t**2/4 - 245*t/2 + 80.
-5*(t - 32)*(t - 2)*(t - 1)/4
Factor 12*s**3 - 143*s**2/2 - 87*s - 7/2.
(s - 7)*(s + 1)*(24*s + 1)/2
Factor -p**2/2 - 373*p/2 + 564.
-(p - 3)*(p + 376)/2
Find d, given that -4*d**5 + 100*d**4/9 + 116*d**3/3 + 28*d**2 + 40*d/9 = 0.
-1, -2/9, 0, 5
Let s**5/3 + 4*s**4/3 - 46*s**3/3 - 4*s**2/3 + 15*s = 0. Calculate s.
-9, -1, 0, 1, 5
Find n, given that 5*n**3/7 - 183*n**2/7 + 1276*n/7 + 540/7 = 0.
-2/5, 10, 27
Let 20*k**3 + 516*k**2 - 2304*k + 2384 = 0. What is k?
-149/5, 2
Factor o**4/2 + 37*o**3/2 + 179*o**2 + 126*o - 324.
(o - 1)*(o + 2)*(o + 18)**2/2
Determine q so that -4*q**3 + 456*q**2 - 452*q = 0.
0, 1, 113
Factor -2*n**5 + 10*n**4 - 18*n**3 + 14*n**2 - 4*n.
-2*n*(n - 2)*(n - 1)**3
Factor -i**3/5 + 19*i**2/5 - 99*i/5 + 81/5.
-(i - 9)**2*(i - 1)/5
Factor -i**4/3 - 24*i**3 + i**2 + 218*i/3 + 48.
-(i - 2)*(i + 1)**2*(i + 72)/3
Factor 4*b**5 - 8*b**4 - 12*b**3.
4*b**3*(b - 3)*(b + 1)
Suppose -3*a**3/5 - 6*a**2/5 + 63*a/5 - 54/5 = 0. Calculate a.
-6, 1, 3
Factor 2*h**2/9 + 2*h/3 - 20/9.
2*(h - 2)*(h + 5)/9
What is w in -3*w**2 - 7632*w - 4853952 = 0?
-1272
Determine j, given that 2*j**4 + 368*j**3 + 16556*j**2 - 34224*j + 17298 = 0.
-93, 1
Factor -3*y**3/7 - 66*y**2/7 + 141*y/7 - 72/7.
-3*(y - 1)**2*(y + 24)/7
Factor -44*n**2/3 - 2060*n/3 + 376/3.
-4*(n + 47)*(11*n - 2)/3
Solve -2*r**4/5 + 26*r**3/5 + 6*r**2/5 - 594*r/5 - 972/5 = 0 for r.
-3, -2, 9
Factor -20*h**2 + 3012*h + 1208.
-4*(h - 151)*(5*h + 2)
Factor -4*u**3 - 1800*u**2 - 202500*u.
-4*u*(u + 225)**2
Suppose -12*h**5/5 + 27*h**4 - 321*h**3/5 + 72*h**2/5 = 0. Calculate h.
0, 1/4, 3, 8
Solve 5*w**2 + 30*w = 0 for w.
-6, 0
Factor h**5/7 + 3*h**4/7 - 2*h**3/7 - 12*h**2/7 - 8*h/7.
h*(h - 2)*(h + 1)*(h + 2)**2/7
Find s such that -2*s**4 - 22*s**3 + 24*s**2 = 0.
-12, 0, 1
Let 2*l**4/5 + 546*l**3/5 + 108*l**2 - 1088*l/5 = 0. What is l?
-272, -2, 0, 1
What is p in -14*p**5 - 60*p**4 + 12*p**3 + 176*p**2 - 78*p - 36 = 0?
-3, -2/7, 1
Factor -63*z**2 - 183*z + 18.
-3*(z + 3)*(21*z - 2)
Factor 2*z**5/11 - 194*z**4/11 + 4988*z**3/11 - 13820*z**2/11 + 1222*z - 4418/11.
2*(z - 47)**2*(z - 1)**3/11
Suppose s**2/4 + 71*s/4 + 177 = 0. What is s?
-59, -12
Solve 4*c**3 + 328*c**2 - 2468*c + 2136 = 0 for c.
-89, 1, 6
Suppose 2*i**4 - 36*i**3 + 72*i**2 + 836*i + 726 = 0. What is i?
-3, -1, 11
Suppose -2*a**3 + 26*a**2 - 46*a + 22 = 0. Calculate a.
1, 11
Determine k so that -5*k**3 + 120*k**2 - 720*k = 0.
0, 12
Factor 856*c**2 - 850*c - 6.
2*(c - 1)*(428*c + 3)
Let -2*j**5 + 5023*j**4/2 - 1182524*j**3 + 247377364*j**2 - 19380424144*j - 4860585608 = 0. What is j?
-1/4, 314
Determine h so that 16*h**5 + 58*h**4 + 33*h**3 - 52*h**2 - 28*h = 0.
-2, -1/2, 0, 7/8
Suppose -36*u**5/11 - 18*u**4/11 + 148*u**3/11 + 72*u**2/11 - 16*u/11 = 0. What is u?
-2, -2/3, 0, 1/6, 2
Find b such that 5*b**2 + 150*b + 520 = 0.
-26, -4
Solve -4*z**5 - 32*z**4 - 61*z**3 + 23*z**2 + 40*z - 16 = 0.
-4, -1, 1/2
What is m in 2*m**4 + 164*m**3 + 634*m**2 + 784*m + 312 = 0?
-78, -2, -1
Factor -2*g**3/5 + 2*g**2 + 88*g/5 + 24.
-2*(g - 10)*(g + 2)*(g + 3)/5
Factor 15*j**3 + 23*j**2.
j**2*(15*j + 23)
Factor 4*h**3 + 20*h**2 + 28*h + 12.
4*(h + 1)**2*(h + 3)
Factor -2*g**2/5 + 22*g/5 - 36/5.
-2*(g - 9)*(g - 2)/5
Let 3*m**4 + 42*m**3 - 144*m**2 + 150*m - 51 = 0. What is m?
-17, 1
Let -2*k**2/17 + 22*k/17 - 56/17 = 0. Calculate k.
4, 7
Let 3*k**2 - 96*k + 720 = 0. What is k?
12, 20
Factor 3*r**2 - 834*r + 2475.
3*(r - 275)*(r - 3)
Let -z**3/3 - 6*z**2 - 20*z + 200/3 = 0. Calculate z.
-10, 2
Factor n**2/6 - 26*n - 320/3.
(n - 160)*(n + 4)/6
Factor y**2 - 12*y + 36.
(y - 6)**2
Factor 2*k**5 - 8*k**3 - 4*k**2 + 6*k + 4.
2*(k - 2)*(k - 1)*(k + 1)**3
Solve 26*l**3/11 + 202*l**2/11 + 134*l/11 - 42/11 = 0.
-7, -1, 3/13
What is c in c**5 - 6*c**4 - 34*c**3 - 56*c**2 - 39*c - 10 = 0?
-1, 10
Find d, given that 22*d**5 + 92*d**4 - 50*d**3 - 232*d**2 + 136*d + 32 = 0.
-4, -2, -2/11, 1
Factor 3*b**2 - 18*b + 27.
3*(b - 3)**2
What is l in 3*l**2 - 957*l - 960 = 0?
-1, 320
Find s, given that s**3/3 - 4*s**2 - 19*s/3 + 26 = 0.
-3, 2, 13
Factor -g**2/3 + 10*g - 75.
-(g - 15)**2/3
Factor -4*t**3 + 60*t**2 + 4*t - 60.
-4*(t - 15)*(t - 1)*(t + 1)
Solve 4*u**4 + 76*u**3 - 84*u**2 - 5564*u - 5408 = 0 for u.
-13, -1, 8
Factor -3*t**4 + 3324*t**3 - 1381122*t**2 + 255047196*t - 17662018323.
-3*(t - 277)**4
Factor 3*u**4/7 + 12*u**3/7 - 57*u**2/7 - 138*u/7 - 72/7.
3*(u - 4)*(u + 1)**2*(u + 6)/7
What is c in c**3 - 111*c**2 + 218*c = 0?
0, 2, 109
Solve -3*w**4/4 + 95*w**3/4 + 233*w**2/4 + 169*w/4 + 17/2 = 0 for w.
-1, -1/3, 34
Let 2*x**5 + 36*x**4 + 258*x**3 + 920*x**2 + 1632*x + 1152 = 0. Calculate x.
-4, -3
Factor 2*k**3/17 - 18*k**2/17 + 40*k/17 - 24/17.
2*(k - 6)*(k - 2)*(k - 1)/17
Solve 6*c**3/7 + 52*c**2/7 - 234*c/7 + 72/7 = 0.
-12, 1/3, 3
Determine u so that 18*u**3 