actor s**2 + 46*s.
s*(s + 46)
Factor 2*z**3/9 + 100*z**2/9 + 358*z/9 - 460/9.
2*(z - 1)*(z + 5)*(z + 46)/9
Factor 3*j**2/8 - 759*j/4 + 192027/8.
3*(j - 253)**2/8
Factor -5*y**3 - 40*y**2 + 95*y - 50.
-5*(y - 1)**2*(y + 10)
Factor -2*z**5 + 84*z**4 - 160*z**3 - 4*z**2 + 162*z - 80.
-2*(z - 40)*(z - 1)**3*(z + 1)
Factor -5*d**3 + 380*d**2 + 3755*d + 5950.
-5*(d - 85)*(d + 2)*(d + 7)
Factor -5*l**3 + 4800*l**2 - 1536000*l + 163840000.
-5*(l - 320)**3
Factor 15*f**4 + 70*f**3 + 100*f**2 + 40*f.
5*f*(f + 2)**2*(3*f + 2)
What is s in 7*s**4 - 976*s**3 + 34710*s**2 - 48024*s + 14283 = 0?
3/7, 1, 69
Factor y**4/7 - 2295*y**3/7 + 9168*y**2/7 - 9164*y/7.
y*(y - 2291)*(y - 2)**2/7
Find a, given that -a**2 - a + 30 = 0.
-6, 5
Factor -3*b**2/4 - 831*b/4 + 843.
-3*(b - 4)*(b + 281)/4
Suppose 4*p**3 + 40*p**2 + 112*p + 96 = 0. Calculate p.
-6, -2
Suppose -3*c**3 + 99*c**2 - 753*c - 855 = 0. Calculate c.
-1, 15, 19
Factor -b**2 + 21*b - 68.
-(b - 17)*(b - 4)
Factor -2*m**3/5 + 202*m**2/5 - 1040*m + 1000.
-2*(m - 50)**2*(m - 1)/5
Factor -2*r**3/9 + 1352*r**2/9 - 75710*r/3 - 51076.
-2*(r - 339)**2*(r + 2)/9
Determine t so that -4*t**3 + 252*t**2 + 4*t - 252 = 0.
-1, 1, 63
Solve 2030625*d**2/4 - 1425*d + 1 = 0 for d.
2/1425
Let 5*y**2 - 150*y + 720 = 0. What is y?
6, 24
Suppose i**2 - 538*i + 72361 = 0. Calculate i.
269
Find p, given that -3*p**3 + 1119*p**2 - 1110*p - 2232 = 0.
-1, 2, 372
Suppose 2*v**2 - 158*v = 0. Calculate v.
0, 79
Factor -f**3/5 - 3*f**2 - 32*f/5 + 48/5.
-(f - 1)*(f + 4)*(f + 12)/5
Factor -u**3 + 7*u**2 + u - 7.
-(u - 7)*(u - 1)*(u + 1)
Factor -3*j**4 + 159*j**3 - 459*j**2 + 453*j - 150.
-3*(j - 50)*(j - 1)**3
Find p such that -2*p**5 - 4*p**4 + 2*p**3 + 4*p**2 = 0.
-2, -1, 0, 1
Find m such that 125*m**4 + 42775*m**3 + 51210*m**2 + 20468*m + 2728 = 0.
-341, -2/5
Solve -v**5/5 - 13*v**4/5 + 6*v**3 - 2*v**2/5 - 29*v/5 + 3 = 0 for v.
-15, -1, 1
Solve 3*b**3 + 6*b**2 - 12*b - 24 = 0 for b.
-2, 2
Suppose 2*x**4/11 + 30*x**3/11 - 126*x**2/11 - 334*x/11 - 180/11 = 0. What is x?
-18, -1, 5
What is s in -3*s**2/2 - 1194*s = 0?
-796, 0
Determine m, given that -12*m**3 + 15*m**2 + 39*m - 42 = 0.
-7/4, 1, 2
Determine n so that 3*n**2 - 1689*n + 10026 = 0.
6, 557
Let -2*g**4/5 + 26*g**3/5 - 94*g**2/5 + 118*g/5 - 48/5 = 0. Calculate g.
1, 3, 8
Factor -4*r**5/5 - 106*r**4/5 + 54*r**3/5.
-2*r**3*(r + 27)*(2*r - 1)/5
Let -b**2/2 + 87*b/2 - 85 = 0. What is b?
2, 85
Factor 5*z**2 - 50*z - 375.
5*(z - 15)*(z + 5)
Suppose -2*x**2 + 318*x + 644 = 0. Calculate x.
-2, 161
Factor 4*d**4/9 - 89540*d**3/9 + 74231976*d**2 - 1661311563184*d/9 - 1661979740512/9.
4*(d - 7462)**3*(d + 1)/9
Suppose 3*z**2 - 3696*z + 1138368 = 0. What is z?
616
Suppose 2*h**4 + 172*h**3 + 1866*h**2 + 6760*h + 7400 = 0. What is h?
-74, -5, -2
Solve -2*q**3/3 + 232*q**2 + 698*q/3 = 0.
-1, 0, 349
Suppose -2*z**4 - 54*z**3 + 116*z**2 = 0. Calculate z.
-29, 0, 2
Factor x**3/3 - 139*x**2/3 + 274*x/3.
x*(x - 137)*(x - 2)/3
Determine b so that -4*b**5 - 16*b**4 + 28*b**3 + 136*b**2 + 96*b = 0.
-4, -2, -1, 0, 3
Suppose 3*n**5 - 16*n**4/3 - 4*n**3/3 + 6*n**2 - 5*n/3 - 2/3 = 0. What is n?
-1, -2/9, 1
Factor -h**2/8 + 5*h/8 - 1/2.
-(h - 4)*(h - 1)/8
Determine a, given that -2*a**3 + 48*a**2 - 288*a = 0.
0, 12
Factor -2*m**2/9 + 40*m/3 + 1898/9.
-2*(m - 73)*(m + 13)/9
Factor 2*c**2/5 - 7484*c/5 + 7001282/5.
2*(c - 1871)**2/5
Factor -3*w**3 + 105*w**2 - 102*w.
-3*w*(w - 34)*(w - 1)
Solve t**3/3 + 4*t**2/3 + t/3 - 2 = 0.
-3, -2, 1
Factor -2*k**3/3 + 68*k**2/3 + 1838*k/3 + 1768/3.
-2*(k - 52)*(k + 1)*(k + 17)/3
Factor 12*y**2 - 2*y/7.
2*y*(42*y - 1)/7
Suppose v**2 + 115*v + 444 = 0. Calculate v.
-111, -4
Find z such that 3*z**4 - 45*z**3 - 225*z**2 - 75*z + 342 = 0.
-3, -2, 1, 19
Factor -3*h**5 - 36*h**4/7 - 9*h**3/7 + 6*h**2/7.
-3*h**2*(h + 1)**2*(7*h - 2)/7
Find v, given that -2*v**5/13 - 12*v**4/13 - 2*v**3/13 + 48*v**2/13 - 32*v/13 = 0.
-4, 0, 1
Factor 2*z**2/9 - 4*z + 18.
2*(z - 9)**2/9
Find u such that -2*u**2/3 + 320*u/3 + 322/3 = 0.
-1, 161
Factor 5*f**4 - 10*f**3 - 160*f**2 - 150*f + 315.
5*(f - 7)*(f - 1)*(f + 3)**2
Factor -5*o**5 - 55*o**4 + 130*o**3 - 10*o**2 - 125*o + 65.
-5*(o - 1)**3*(o + 1)*(o + 13)
Find m, given that -m**5/8 + 23*m**4/8 - 83*m**3/4 + 261*m**2/4 - 729*m/8 + 351/8 = 0.
1, 3, 13
Factor -21*r**4 + 159*r**3 - 264*r**2 - 144*r.
-3*r*(r - 4)**2*(7*r + 3)
Let -147*l**5 + 1386*l**4 + 1416*l**3 - 5424*l**2 - 3312*l - 480 = 0. What is l?
-2, -2/7, 2, 10
Factor 4*c**4 + 4*c**3 - 196*c**2 - 196*c.
4*c*(c - 7)*(c + 1)*(c + 7)
Factor -5*r**3/4 + 75*r**2/4 + 20*r.
-5*r*(r - 16)*(r + 1)/4
Let 3*x**4 + 39*x**3 - 288*x**2 - 324*x = 0. Calculate x.
-18, -1, 0, 6
Let 22*p**5/17 + 2*p**4/17 - 66*p**3/17 - 50*p**2/17 - 4*p/17 = 0. What is p?
-1, -1/11, 0, 2
Suppose 3*z**2/4 - 339*z/4 + 84 = 0. Calculate z.
1, 112
Factor -3*c**2 + 213*c.
-3*c*(c - 71)
Factor i**5/3 + 5*i**4/3 - 13*i**3/3 + 7*i**2/3.
i**2*(i - 1)**2*(i + 7)/3
Solve 2*w**4/9 - 4*w**3/3 - 14*w**2/9 = 0 for w.
-1, 0, 7
Factor -3*p**2/8 - 3597*p - 8625606.
-3*(p + 4796)**2/8
Determine m, given that 5*m**4 - 115*m**3 - 945*m**2 + 2215*m - 1160 = 0.
-8, 1, 29
Determine u, given that -2*u**5/7 + 6*u**4/7 + 20*u**3/7 + 4*u**2/7 - 18*u/7 - 10/7 = 0.
-1, 1, 5
Determine h so that -5*h**3 + 195*h**2 + 200*h = 0.
-1, 0, 40
Let g**5/10 + 2*g**4/5 - 3*g**3/5 - 18*g**2/5 - 27*g/10 = 0. What is g?
-3, -1, 0, 3
Find i such that -8*i**5 - 254*i**4/7 - 404*i**3/7 - 278*i**2/7 - 80*i/7 - 8/7 = 0.
-2, -1, -2/7, -1/4
Factor 4*o**3 + 680*o**2 + 28208*o - 59168.
4*(o - 2)*(o + 86)**2
Find v, given that -v**3/3 - 4*v**2/3 + 11*v/3 - 2 = 0.
-6, 1
Factor -2*s**2 - 24*s - 40.
-2*(s + 2)*(s + 10)
Factor -m**5/2 - 5*m**4/4 - 3*m**3/4 + m**2/4 + m/4.
-m*(m + 1)**3*(2*m - 1)/4
Factor -768*s**3 - 672*s**2 - 147*s.
-3*s*(16*s + 7)**2
Factor 3*i**2/2 - 591*i/2 + 1440.
3*(i - 192)*(i - 5)/2
Let 4*o**4 + 1756*o**3 + 255780*o**2 + 12187476*o - 25412184 = 0. Calculate o.
-147, 2
Suppose o**2/6 - 2*o/3 = 0. What is o?
0, 4
Factor 5*d**2 + 20*d - 480.
5*(d - 8)*(d + 12)
Let 5*z**3/2 + 5*z**2/2 - 20*z - 30 = 0. Calculate z.
-2, 3
Suppose 4*c**5 - 18*c**4 + 32*c**3 - 28*c**2 + 12*c - 2 = 0. Calculate c.
1/2, 1
Factor 5*b**2 + 85*b + 210.
5*(b + 3)*(b + 14)
Let s**5 - 11*s**4 - 45*s**3 + 35*s**2 + 104*s - 84 = 0. What is s?
-3, -2, 1, 14
Factor 6*i**4 - 224*i**3/11 + 104*i**2/11 + 160*i/11.
2*i*(i - 2)**2*(33*i + 20)/11
Suppose 2*c**4 + 80*c**3 + 222*c**2 = 0. Calculate c.
-37, -3, 0
Suppose -4*y**3/3 - 11197*y**2/3 - 933*y = 0. What is y?
-2799, -1/4, 0
Suppose -a**3 + 12*a - 16 = 0. What is a?
-4, 2
Suppose 4*v**4/3 - 8*v**3 - 160*v**2 - 872*v/3 - 140 = 0. What is v?
-7, -1, 15
Determine y so that -y**4 - 155*y**3 - 153*y**2 + 155*y + 154 = 0.
-154, -1, 1
Determine s so that -2*s**5/5 + 18*s**4/5 + 126*s**3/5 + 38*s**2 + 84*s/5 = 0.
-3, -1, 0, 14
Solve -u**4/2 + 27*u**3/2 - 195*u**2/2 + 169*u/2 = 0.
0, 1, 13
Factor x**3/4 + 13*x**2/2 - 59*x/4 - 21.
(x - 3)*(x + 1)*(x + 28)/4
Factor -5*w**2 - 285*w + 290.
-5*(w - 1)*(w + 58)
Let -3*y**3 + 18*y**2 + 57*y - 72 = 0. What is y?
-3, 1, 8
Determine r, given that -3*r**2 - 813*r + 816 = 0.
-272, 1
Factor 2*n**3/7 + 4*n**2/7 - 190*n/7 + 600/7.
2*(n - 5)**2*(n + 12)/7
Solve 4*v**4 - 328*v**3 - 4*v**2 + 328*v = 0 for v.
-1, 0, 1, 82
Factor -450*l**2/11 - 480*l/11 - 128/11.
-2*(15*l + 8)**2/11
Suppose 3*j**5/5 + 36*j**4/5 - 39*j**3 - 36*j**2/5 + 192*j/5 = 0. Calculate j.
-16, -1, 0, 1, 4
Factor -4*n**4 - 208*n**3 + 2880*n**2 - 12032*n + 16384.
-4*(n - 4)**3*(n + 64)
Factor 3*w**3/8 + 255*w**2/4 + 2772*w + 5292.
3*(w + 2)*(w + 84)**2/8
What is v in -2*v**2/11 + 16*v/11 - 30/11 = 0?
3, 5
Factor -3*h**4 + 57*h**3 + 210*h**2 - 264*h.
-3*h*(h - 22)*(h - 1)*(h + 4)
Factor -n**3 - 1049*n**2 - 274575*n + 275625.
-(n - 1)*(n + 525)**2
Factor 3*b**3 - 12*b**2 - 105*b + 450.
3*(b - 5)**2*(b + 6)
Factor t**2/5 - 707*t/5 + 706/5.
(t - 706)*(t - 1)/5
Factor 3*p**2 - 1152*p + 110592.
3*(p - 192)**2
Solve -49*t**5/3 - 91*t**4 - 48*t**3 - 20*t**2/3 = 0 for t.
-5, -2/7, 0
Factor 5*z**4 - 55*z**3 - 15*z**2 + 155*z + 110.
5*(z - 11)*(z - 2)*(z + 1)**2
Suppose -2*q**2/3 + 14*q/3 = 0. Calculate q.
0, 7
Factor 4*b**3 + 408*b**2 + 11520*b + 55296.
4*(b + 6)*(b + 48)**2
Factor -3*s**4 + 9*s**3 + 51*s**2 - 117*s + 60.
-3*(s - 5)*(s - 1)**2*(s + 4)
Factor 