0.
-121, -1, 0, 1
Factor 6400*x**2 + 320*x + 4.
4*(40*x + 1)**2
Factor -w**5/3 + w**4 - 2*w**3/3 - 2*w**2/3 + w - 1/3.
-(w - 1)**4*(w + 1)/3
What is t in 10*t**3 + 66*t**2 - 7488*t/5 + 22984/5 = 0?
-17, 26/5
Solve -n**5/4 + 75*n**3/4 + 125*n**2/2 = 0 for n.
-5, 0, 10
Find u, given that 2*u**4/9 - 172*u**3/9 + 520*u**2 - 3600*u - 24000 = 0.
-4, 30
Factor 4*s**4/5 - 96*s**3/5.
4*s**3*(s - 24)/5
Determine t, given that t**2 - 9314*t + 21687649 = 0.
4657
Factor 4*m**2 - 3280*m + 672400.
4*(m - 410)**2
Find u, given that 27*u**3 - 274*u**2 + 40*u = 0.
0, 4/27, 10
Find d such that -5*d**3 - 45*d**2 - 100*d - 60 = 0.
-6, -2, -1
Determine m, given that m**3 - 5*m**2 - 13*m - 7 = 0.
-1, 7
Suppose 5*c**5/6 - 11*c**4/2 + 21*c**3/2 - 7*c**2/6 - 12*c + 6 = 0. Calculate c.
-1, 3/5, 2, 3
Factor 5*i**2 + 5*i - 4960.
5*(i - 31)*(i + 32)
Factor 5*l**2 - 730*l - 735.
5*(l - 147)*(l + 1)
Factor 3*g**2 - 132*g - 2436.
3*(g - 58)*(g + 14)
Factor x**5 + 4*x**4 - 16*x**2 - 16*x.
x*(x - 2)*(x + 2)**3
Suppose 87*z**4 - 603*z**3 - 738*z**2 - 48*z = 0. Calculate z.
-1, -2/29, 0, 8
Factor -48*p**5 - 183*p**4 - 156*p**3 + 36*p**2.
-3*p**2*(p + 2)**2*(16*p - 3)
Suppose -5*y**4/3 + 131*y**3/6 - 61*y**2 - 413*y/6 - 49/3 = 0. Calculate y.
-1/2, -2/5, 7
Factor 6*p**4 - 392*p**3 + 2866*p**2 - 912*p.
2*p*(p - 57)*(p - 8)*(3*p - 1)
Let 3*z**3/7 + 261*z**2 + 52983*z + 3585183 = 0. What is z?
-203
Suppose -10*v**4/13 - 4*v**3/13 + 370*v**2/13 - 692*v/13 - 336/13 = 0. What is v?
-7, -2/5, 3, 4
Determine l so that -3*l**3 + 63*l**2 - 168*l + 108 = 0.
1, 2, 18
Factor -4*g**2 + 212*g - 208.
-4*(g - 52)*(g - 1)
Let 100*c**4 + 1020*c**3 + 136*c**2 - 624*c + 160 = 0. Calculate c.
-10, -1, 2/5
Determine r, given that -2*r**4/11 - 4*r**3/11 = 0.
-2, 0
Solve -z**2 - 3*z + 10 = 0 for z.
-5, 2
Factor 9*u**2 + 3693*u - 2466.
3*(u + 411)*(3*u - 2)
Factor 3*r**3 - 18*r**2 - 45*r + 300.
3*(r - 5)**2*(r + 4)
Factor -3*a**3 + 28*a**2 - 51*a + 14.
-(a - 7)*(a - 2)*(3*a - 1)
Let 8*o**5/3 + 62*o**4/3 + 152*o**3/3 + 134*o**2/3 + 20*o/3 - 16/3 = 0. Calculate o.
-4, -2, -1, 1/4
Find b such that 3*b**2/4 - 12*b - 51/4 = 0.
-1, 17
Let i**5/4 - 9*i**4/4 + 13*i**3/4 + 9*i**2/4 - 7*i/2 = 0. Calculate i.
-1, 0, 1, 2, 7
Determine s so that 2*s**5 + 92*s**4 + 176*s**3 - 4*s**2 - 178*s - 88 = 0.
-44, -1, 1
Factor -d**4 - 9*d**3/5 + 2*d**2/5.
-d**2*(d + 2)*(5*d - 1)/5
Factor 3*r**3 + 189*r**2 + 366*r.
3*r*(r + 2)*(r + 61)
Factor 3*q**4 - 45*q**3 + 81*q**2 - 39*q.
3*q*(q - 13)*(q - 1)**2
Factor 4*f**2/9 - 56*f/9 + 196/9.
4*(f - 7)**2/9
Suppose -r**3/2 + 945*r**2/2 - 1887*r/2 + 943/2 = 0. Calculate r.
1, 943
Find u such that -44*u**5 + 344*u**4 + 537*u**3 - 629*u**2 + 68*u + 36 = 0.
-2, -2/11, 1/2, 9
Let 92*q**3 - 744*q**2 - 2972*q + 264 = 0. Calculate q.
-3, 2/23, 11
Suppose 3*n**4 + 10*n**3 + 11*n**2 + 4*n = 0. What is n?
-4/3, -1, 0
Factor -3*k**4 + 33*k**3 - 87*k**2 - 105*k + 450.
-3*(k - 5)**2*(k - 3)*(k + 2)
Let -35*x**4/3 + 410*x**3/3 - 275*x**2 - 1670*x/3 - 400/3 = 0. Calculate x.
-1, -2/7, 5, 8
Factor -2*c**3/5 - 12*c**2/5 + 182*c/5.
-2*c*(c - 7)*(c + 13)/5
Solve -4*l**3/5 - 1708*l**2/5 = 0 for l.
-427, 0
Factor -4*h**2 - 32*h + 720.
-4*(h - 10)*(h + 18)
Factor 32*z**5 - 80*z**4 + 66*z**3 - 20*z**2 + 2*z.
2*z*(z - 1)**2*(4*z - 1)**2
Find a such that 3*a**4 + 1545*a**3 + 199689*a**2 + 198147*a = 0.
-257, -1, 0
Factor 2*m**2/5 - 4*m/5 - 286/5.
2*(m - 13)*(m + 11)/5
Factor f**4 - 2795*f**3.
f**3*(f - 2795)
Let k**2 - 5*k + 6 = 0. Calculate k.
2, 3
Factor 2*u**2 - 174*u + 172.
2*(u - 86)*(u - 1)
Solve 8*r**5 + 500*r**4 - 800*r**3 - 2060*r**2 - 768*r = 0.
-64, -1, -1/2, 0, 3
Factor -2*f**5/7 + 10*f**4/7 - 2*f**3 + 6*f**2/7.
-2*f**2*(f - 3)*(f - 1)**2/7
Suppose 6*b**4/5 - 33*b**3/5 + 12*b**2/5 + 3*b = 0. Calculate b.
-1/2, 0, 1, 5
Solve -3*m**3/5 + 303*m**2/5 - 7497*m/5 - 7803/5 = 0.
-1, 51
Determine i, given that 4*i**3 - 3256*i**2 - 6524*i - 3264 = 0.
-1, 816
Factor -2*w**3 + 18*w**2 + 2*w - 18.
-2*(w - 9)*(w - 1)*(w + 1)
Find h such that 14*h**5/11 + 20*h**4 - 876*h**3/11 + 8*h**2/11 + 862*h/11 - 228/11 = 0.
-19, -1, 2/7, 1, 3
Solve 1155*o**2/2 + 403*o + 12 = 0.
-2/3, -12/385
Factor 2*a**4/3 - 68*a**3/9 - 16*a**2/3.
2*a**2*(a - 12)*(3*a + 2)/9
Factor -i**2/3 - 916*i/3 - 305.
-(i + 1)*(i + 915)/3
Factor d**2/6 - 19*d/6 + 44/3.
(d - 11)*(d - 8)/6
Find p such that -2*p**4 + 4*p**3 + 18*p**2 - 4*p - 16 = 0.
-2, -1, 1, 4
Factor -l**3 - 99*l**2/5 + 486*l/5 - 432/5.
-(l - 3)*(l + 24)*(5*l - 6)/5
Determine z, given that -12*z**3 - 88*z**2 + 304*z - 160 = 0.
-10, 2/3, 2
Factor -i**4/3 - 2*i**3 + 5*i**2 - 8*i/3.
-i*(i - 1)**2*(i + 8)/3
Let -3*a**3 - 48*a**2 = 0. Calculate a.
-16, 0
Solve -2*w**4 + 74*w**3 + 96*w**2 - 776*w + 608 = 0 for w.
-4, 1, 2, 38
Find l such that -l**5/2 + 23*l**4/2 - 52*l**3 - 256*l**2 + 960*l + 1152 = 0.
-4, -1, 4, 12
Factor -5*v**3 - 105*v**2 + 920*v - 1680.
-5*(v - 4)*(v - 3)*(v + 28)
Factor -g**3 + 4*g**2 + 15*g - 18.
-(g - 6)*(g - 1)*(g + 3)
Find p such that 3*p**3 + 903*p**2 + 1797*p + 897 = 0.
-299, -1
Determine s, given that 5*s**4 + 20*s**3 + 15*s**2 = 0.
-3, -1, 0
Find q, given that 49*q**5 - 28*q**4 - 75*q**3/4 - 9*q**2/4 = 0.
-3/14, 0, 1
Factor -8*z**3/9 + 2*z**2/9 + 26*z/9 - 20/9.
-2*(z - 1)*(z + 2)*(4*z - 5)/9
Solve -4*l**5/3 + 28*l**4/3 - 56*l**3/3 + 8*l**2/3 + 20*l - 12 = 0.
-1, 1, 3
Suppose -3*t**2 + 81*t - 78 = 0. What is t?
1, 26
Factor f**2/12 - 319*f/6 + 101761/12.
(f - 319)**2/12
Solve 3*d**4/4 - 51*d**3/4 - 501*d**2/2 - 1200*d - 1800 = 0 for d.
-5, -4, 30
Factor 5*j**3/7 - 4*j**2 + 13*j/7 + 10/7.
(j - 5)*(j - 1)*(5*j + 2)/7
What is t in 40*t**5 - 1348*t**4 - 472*t**3 + 2188*t**2 - 408*t = 0?
-3/2, 0, 1/5, 1, 34
Factor 4*g**3 - 2692*g**2.
4*g**2*(g - 673)
Solve 8192*o**3/3 + 1536*o**2 + 288*o + 18 = 0.
-3/16
Factor -4*k**4 + 24*k**3 + 60*k**2 + 32*k.
-4*k*(k - 8)*(k + 1)**2
Let -3*g**2/7 + 195*g/7 + 612/7 = 0. What is g?
-3, 68
Factor 4*m**2/5 + 68*m/5 - 72/5.
4*(m - 1)*(m + 18)/5
Suppose -j**4 - 1208*j**3 - 364815*j**2 + 1208*j + 364816 = 0. Calculate j.
-604, -1, 1
Factor -3*o**3/5 + 3*o**2/5 + 6*o + 24/5.
-3*(o - 4)*(o + 1)*(o + 2)/5
What is a in -3*a**5 + 72*a**4 + 852*a**3 + 1314*a**2 - 849*a - 1386 = 0?
-7, -2, -1, 1, 33
Suppose 2*u**5/3 - 56*u**4/3 + 62*u**3 + 60*u**2 - 288*u = 0. What is u?
-2, 0, 3, 24
Solve -2*n**3/3 + 338*n**2/3 + 1732*n/3 + 464 = 0.
-4, -1, 174
Let -h**2/7 + 37*h/7 + 38/7 = 0. What is h?
-1, 38
Factor w**2/6 + 103*w/3 - 69/2.
(w - 1)*(w + 207)/6
Factor 3*d**5 + 30*d**4 + 99*d**3 + 108*d**2.
3*d**2*(d + 3)**2*(d + 4)
Let -2*g**4/5 - 56*g**3/5 + 606*g**2 - 5220*g = 0. What is g?
-58, 0, 15
What is s in -4*s**4 + 68*s**3 - 404*s**2 + 940*s - 600 = 0?
1, 5, 6
Factor -2*v**2/13 - 12*v + 158/13.
-2*(v - 1)*(v + 79)/13
Find l such that 4*l**2 - 4 = 0.
-1, 1
Factor 5*f**2/2 + 1030*f.
5*f*(f + 412)/2
Factor 2*t**2/3 + 2800*t/3.
2*t*(t + 1400)/3
Suppose -2*t**4 + 309*t**3/5 - 267*t**2/5 - 92*t/5 + 12 = 0. Calculate t.
-1/2, 2/5, 1, 30
Suppose d**4/8 - 171*d**3/8 + 169*d**2/8 + 171*d/8 - 85/4 = 0. Calculate d.
-1, 1, 170
Factor -2*g**2 + 934*g/5 - 372/5.
-2*(g - 93)*(5*g - 2)/5
Factor 4*o**3 - 10004*o**2 + 6249996*o + 6260004.
4*(o - 1251)**2*(o + 1)
Find a such that -a**2 - 2318*a - 1343281 = 0.
-1159
Let 3*j**2/4 - 993*j/4 - 1005 = 0. What is j?
-4, 335
Suppose -2*p**4/9 + 20*p**3/9 - 6*p**2 + 4*p = 0. What is p?
0, 1, 3, 6
Factor -z**5/6 + z**4/2 + 2*z**3/3 - 8*z**2/3 + 8/3.
-(z - 2)**3*(z + 1)*(z + 2)/6
Find u such that -245*u**2/3 - 3428*u/3 + 28/3 = 0.
-14, 2/245
Factor -2*r**3/5 + 6*r**2/5 + 26*r/5 - 6.
-2*(r - 5)*(r - 1)*(r + 3)/5
Factor -55*p**5 - 125*p**4 - 70*p**3.
-5*p**3*(p + 1)*(11*p + 14)
Determine c so that -40*c**5/9 + 32*c**4/3 - 82*c**3/9 + 10*c**2/3 - 4*c/9 = 0.
0, 2/5, 1/2, 1
Let -49*n**5 + 28*n**4 + 143*n**3 - 182*n**2 + 68*n - 8 = 0. Calculate n.
-2, 2/7, 1
Suppose -4*w**5 + 347*w**4 + 439*w**3 + 88*w**2 = 0. What is w?
-1, -1/4, 0, 88
Factor -2*r**2/3 - 136*r/9 + 46/9.
-2*(r + 23)*(3*r - 1)/9
Factor -k**5 - 2*k**4 + 8*k**3 - 2*k**2 - 7*k + 4.
-(k - 1)**3*(k + 1)*(k + 4)
Solve 4*w**3 + 24*w**2 + 32*w = 0.
-4, -2, 0
Factor -4*p**3/7 + 192*p**2/7 - 372*p/7 + 184/7.
-4*(p - 46)*(p - 1)**2/7
Factor 4*x**5/7 + 3200*x**4/7 + 1024000*x**3/7 + 163840000*x**2/7 + 13107200000*x/7 + 419430400000/7.
4*(x + 160)**5/7
Factor -2*o**3 + 44*o**2 - 