?
-75, 1
Determine h, given that -2*h**5 + 16*h**4 - 42*h**3 + 44*h**2 - 16*h = 0.
0, 1, 2, 4
Suppose -7*n**4 - 30*n**3 + 195*n**2 - 110*n - 48 = 0. Calculate n.
-8, -2/7, 1, 3
Let 3*y**2 - 48*y - 51 = 0. Calculate y.
-1, 17
Solve x**3/3 - 215*x**2/6 - 109*x/6 + 18 = 0.
-1, 1/2, 108
Factor 3*y**2 - 1332*y + 1329.
3*(y - 443)*(y - 1)
Suppose i**3/4 + 129*i**2/4 - 261*i/4 + 131/4 = 0. Calculate i.
-131, 1
Solve 3*o**5 - 15*o**3 + 12*o = 0.
-2, -1, 0, 1, 2
Factor a**2 - 38*a - 39.
(a - 39)*(a + 1)
Determine w so that -378*w**4 - 6000*w**3 + 7202*w**2 - 688*w - 136 = 0.
-17, -2/21, 2/9, 1
Solve -2*u**3/5 - 10*u**2 = 0.
-25, 0
Factor 2*i**2/5 - 64*i/5 - 136/5.
2*(i - 34)*(i + 2)/5
Solve i**4 - 646*i**3 + 103029*i**2 + 419900*i + 422500 = 0.
-2, 325
Let 5*x**2 - 1120*x - 3405 = 0. Calculate x.
-3, 227
Find s such that 4*s**4 - 4*s**3 - 208*s**2 - 176*s + 384 = 0.
-6, -2, 1, 8
Determine a, given that 2*a**5/11 + 24*a**4/11 + 60*a**3/11 + 56*a**2/11 + 18*a/11 = 0.
-9, -1, 0
Factor 3*y**2/4 - 69*y/2 - 420.
3*(y - 56)*(y + 10)/4
Solve -n**3/8 + n**2/8 + 29*n/4 - 14 = 0.
-8, 2, 7
Find v, given that 2*v**2/5 - 8*v + 38/5 = 0.
1, 19
Factor 5*m**5 - 25*m**4 + 50*m**3 - 50*m**2 + 25*m - 5.
5*(m - 1)**5
Determine g, given that -g**2 - 258*g - 16641 = 0.
-129
Factor -5*b**3 + 55*b**2 - 90*b.
-5*b*(b - 9)*(b - 2)
Find g such that 5*g**2 - 610*g - 3175 = 0.
-5, 127
Find q such that -6*q**4/5 - 1438*q**3/5 - 954*q**2/5 + 478*q/5 = 0.
-239, -1, 0, 1/3
Find g, given that 8*g**2 + 12*g - 20 = 0.
-5/2, 1
Solve -u**3 + 23*u**2/2 - 31*u/2 + 5 = 0.
1/2, 1, 10
Let 8*s**4 - 44*s**3 + 16*s**2 + 116*s + 48 = 0. Calculate s.
-1, -1/2, 3, 4
Factor -2*g**2 + 26*g + 96.
-2*(g - 16)*(g + 3)
Let 2*z**2/9 - 2*z/3 + 4/9 = 0. Calculate z.
1, 2
Factor 2*h**2/13 + 6*h/13 - 92.
2*(h - 23)*(h + 26)/13
Let -5*u**3/3 - 2338*u**2/9 - 30316*u/3 + 1352 = 0. What is u?
-78, 2/15
Solve -3*s**2 + 306*s + 945 = 0 for s.
-3, 105
Determine y, given that -2*y**5 - 2*y**4 + 26*y**3 + 50*y**2 + 24*y = 0.
-3, -1, 0, 4
Factor -5*x**4 - 20*x**3 + 80*x + 80.
-5*(x - 2)*(x + 2)**3
Solve -4*k**3 + 528*k**2 + 532*k = 0.
-1, 0, 133
Factor -3*l**4 + 24*l**3 - 54*l**2 + 48*l - 15.
-3*(l - 5)*(l - 1)**3
Factor -14*k**2/5 - 34*k/5 - 12/5.
-2*(k + 2)*(7*k + 3)/5
Let 55*s**3/6 + 637*s**2/6 + 178*s/3 + 22/3 = 0. What is s?
-11, -2/5, -2/11
Find r such that -r**3/6 + 65*r**2/6 - 94*r/3 + 62/3 = 0.
1, 2, 62
Factor 21*b**2/8 + 129*b + 147/8.
3*(b + 49)*(7*b + 1)/8
Factor 5*i**2 - 5*i - 550.
5*(i - 11)*(i + 10)
Factor -d**3/9 - 116*d**2/9 - 496*d - 6336.
-(d + 36)**2*(d + 44)/9
Factor -2*q**3/9 + 28*q**2/3 - 958*q/9 + 532/3.
-2*(q - 21)*(q - 19)*(q - 2)/9
Solve -4*y**5 - 40*y**4 - 152*y**3 - 272*y**2 - 228*y - 72 = 0 for y.
-3, -2, -1
Determine x so that -2*x**2 + 42*x = 0.
0, 21
Determine p so that 3*p**4 - 33*p**3 + 57*p**2 - 27*p = 0.
0, 1, 9
Factor 3*q**4 - 69*q**3 + 129*q**2 - 63*q.
3*q*(q - 21)*(q - 1)**2
Factor -5*d**5 + 45*d**4 + 105*d**3 + 55*d**2.
-5*d**2*(d - 11)*(d + 1)**2
What is l in 4*l**3 - 352*l**2 + 9984*l - 92160 = 0?
24, 40
Determine n so that -3*n**3 - 9*n**2 + 48*n - 36 = 0.
-6, 1, 2
Factor -2*r**2/3 - 644*r - 155526.
-2*(r + 483)**2/3
Factor 4*s**4 + 40*s**3 + 96*s**2 + 88*s + 28.
4*(s + 1)**3*(s + 7)
Suppose 135*u**5 + 135*u**4 - 1170*u**3 - 1210*u**2 - 405*u - 45 = 0. What is u?
-3, -1/3, 3
Let -j**2 - 351*j = 0. Calculate j.
-351, 0
Factor 3*w**2/5 - 18*w/5 + 24/5.
3*(w - 4)*(w - 2)/5
Factor -2*t**5/11 + 2*t**4 - 92*t**3/11 + 180*t**2/11 - 162*t/11 + 54/11.
-2*(t - 3)**3*(t - 1)**2/11
Factor 5*q**4 - 40*q**3 - 13410*q**2 - 243000*q - 229635.
5*(q - 63)*(q + 1)*(q + 27)**2
Suppose 4*m**5 - 236*m**4 + 1116*m**3 - 1972*m**2 + 1520*m - 432 = 0. Calculate m.
1, 2, 54
Let -3*x**3/4 - 3*x**2 + 27*x/4 + 27 = 0. Calculate x.
-4, -3, 3
Factor -5*h**4/3 + 5*h**3/3.
-5*h**3*(h - 1)/3
Solve -3*j**3/4 - 9*j**2 - 33*j/4 = 0.
-11, -1, 0
Suppose -4*u**5 + 44*u**4 + 20*u**3 - 508*u**2 - 880*u - 400 = 0. Calculate u.
-2, -1, 5, 10
Factor -3*u**4 - 69*u**3 - 333*u**2 - 459*u.
-3*u*(u + 3)**2*(u + 17)
Suppose -2*t**2 - 4*t = 0. Calculate t.
-2, 0
Determine g so that -2*g**4/3 + 26*g**3/3 - 70*g**2/3 - 26*g/3 + 24 = 0.
-1, 1, 4, 9
Determine h so that -2055*h**5 - 13730*h**4 - 26230*h**3 - 8600*h**2 + 6045*h + 90 = 0.
-3, -1, -2/137, 1/3
Factor 2*q**3 + 10*q**2 + 14*q + 6.
2*(q + 1)**2*(q + 3)
Find d, given that -d**5/4 + d**4 + 33*d**3/4 - 36*d**2 + 27*d = 0.
-6, 0, 1, 3, 6
What is f in f**5/4 + f**4/4 - 69*f**3/2 + 459*f**2/2 - 2295*f/4 + 2025/4 = 0?
-15, 3, 5
Suppose -4*x**5 - 32*x**4 - 68*x**3 - 40*x**2 = 0. What is x?
-5, -2, -1, 0
Determine p so that 2*p**3 - 178*p**2 + 3870*p + 4050 = 0.
-1, 45
Let -3*w**3/5 - 18*w**2 - 756*w/5 - 1176/5 = 0. Calculate w.
-14, -2
What is y in -5*y**2 + 117*y - 46 = 0?
2/5, 23
Factor -3*f**4 + 48*f**3 - 234*f**2 + 336*f - 147.
-3*(f - 7)**2*(f - 1)**2
Factor 4*h**5 + 16*h**4 - 8*h**3 - 48*h**2 + 36*h.
4*h*(h - 1)**2*(h + 3)**2
Factor 3*a**3 + 1035*a**2 + 6129*a + 9153.
3*(a + 3)**2*(a + 339)
Determine s, given that s**5/7 - 53*s**4/7 + 153*s**3/7 - 151*s**2/7 + 50*s/7 = 0.
0, 1, 50
Find j, given that 2*j**3 - 70*j**2 + 46*j + 11638 = 0.
-11, 23
Factor 2*o**2/9 - 8*o/9 - 8/3.
2*(o - 6)*(o + 2)/9
Let 10*j**2 + 145*j - 240 = 0. What is j?
-16, 3/2
Factor -2*f**2/5 + 16*f/5 + 18/5.
-2*(f - 9)*(f + 1)/5
Factor q**3/2 + 7*q**2/2 - 18.
(q - 2)*(q + 3)*(q + 6)/2
Solve 2*m**4/5 - 12*m**3/5 - 126*m**2/5 + 152*m/5 + 264/5 = 0 for m.
-6, -1, 2, 11
Suppose -2*i**2/3 - 344*i/3 + 346/3 = 0. What is i?
-173, 1
Determine q, given that -2*q**5/5 + 14*q**4/5 - 38*q**3/5 + 10*q**2 - 32*q/5 + 8/5 = 0.
1, 2
Factor -v**3/2 + 37*v**2/2 - 371*v/2 + 1127/2.
-(v - 23)*(v - 7)**2/2
Factor -j**2/7 - 2090*j/7 + 2091/7.
-(j - 1)*(j + 2091)/7
What is g in -3*g**2 - 78*g + 168 = 0?
-28, 2
Suppose -4*d**5 - 12*d**4 - 8*d**3 + 8*d**2 + 12*d + 4 = 0. What is d?
-1, 1
Find r, given that 4*r**2/7 - 8980*r/7 + 17944/7 = 0.
2, 2243
Factor -5*c**4 + 10*c**3 + 195*c**2 - 760*c + 560.
-5*(c - 4)**2*(c - 1)*(c + 7)
What is b in -5*b**2 + 20 = 0?
-2, 2
Factor -2*q**3/13 - 328*q**2/13 - 50*q - 324/13.
-2*(q + 1)**2*(q + 162)/13
Determine a, given that a**4 + 7*a**3 - 8*a**2 = 0.
-8, 0, 1
Solve 4*x**5 + 64*x**4 + 384*x**3 + 1024*x**2 + 1024*x = 0.
-4, 0
Factor -l**4 + 8*l**3 + 3*l**2 - 22*l - 16.
-(l - 8)*(l - 2)*(l + 1)**2
Factor 2*u**3/9 - 14*u**2/3 - 248*u/9 - 104/3.
2*(u - 26)*(u + 2)*(u + 3)/9
Factor -438244*k**2 + 9268*k - 49.
-(662*k - 7)**2
Factor -3*w**2 + 57*w - 264.
-3*(w - 11)*(w - 8)
Determine l, given that -2*l**3 - 1070*l**2 - 1064*l + 2136 = 0.
-534, -2, 1
Factor 2*i**2 + 1776*i + 1774.
2*(i + 1)*(i + 887)
Let 4*y**4 + 208*y**3 - 576*y**2 - 103680*y = 0. What is y?
-36, 0, 20
Factor -w**5/6 - 2*w**4 - 23*w**3/3 - 10*w**2 - 25*w/6.
-w*(w + 1)**2*(w + 5)**2/6
Factor 2*n**3/7 - 122*n**2/7 + 464*n/7 - 456/7.
2*(n - 57)*(n - 2)**2/7
What is u in u**5/3 - 937*u**4/3 + 219022*u**3/3 + 220898*u**2/3 - 219023*u/3 - 219961/3 = 0?
-1, 1, 469
What is r in 175*r**3 + 1040*r**2 - 1285*r + 70 = 0?
-7, 2/35, 1
Solve -2*z**4/9 + 128*z**3/9 - 682*z**2/3 - 128*z/9 + 2048/9 = 0.
-1, 1, 32
Factor l**4 - 202*l**3 + 10397*l**2 - 19400*l - 30000.
(l - 100)**2*(l - 3)*(l + 1)
Factor -8*w**3 - 91*w**2 + 63*w + 36.
-(w - 1)*(w + 12)*(8*w + 3)
What is m in 4*m**2/9 - 148*m/3 + 144 = 0?
3, 108
Factor -2*k**2/7 + 86*k/7 - 12.
-2*(k - 42)*(k - 1)/7
What is k in 4*k**5 - 66*k**4 - 186*k**3 - 76*k**2 = 0?
-2, -1/2, 0, 19
What is d in 60*d**5 + 52*d**4 - 728*d**3 - 1584*d**2 - 736*d + 128 = 0?
-2, -1, 2/15, 4
Find j, given that 4*j**5 + 28*j**4 - 156*j**3 + 212*j**2 - 88*j = 0.
-11, 0, 1, 2
Let 2*i**4/5 - 2*i**3 + 14*i**2/5 - 6*i/5 = 0. What is i?
0, 1, 3
Factor -2*c**3 + 56*c + 96.
-2*(c - 6)*(c + 2)*(c + 4)
Solve s**2 + 4*s + 4 = 0.
-2
Factor n**2/3 - 112*n/3.
n*(n - 112)/3
Factor 2*p**3/5 - 36*p**2 - 182*p/5.
2*p*(p - 91)*(p + 1)/5
Suppose s**4 - 104*s**3 + 103*s**2 = 0. What is s?
0, 1, 103
Suppose 2*q**5/17 + 6*q**4/17 - 6*q**3/17 - 14*q**2/17 + 12*q/17 = 0. What is q?
-3, -2, 0, 1
Factor -2187*f**4/8 + 2349*f**3/4 - 2847*f**2/8 + 87*f/2 - 3/2.
-3*(f - 1)**2*(27*f - 2)**2/8
Let -2*d**3 - 26*d**2/5 + 12*d/5 = 0. Calculate d.
-3, 0, 2/5
Factor 2*s**5 - 2*s**4 - 66*s**3 - 126*s**2.
2*s**2*(s - 7)*(s + 3)**2
Determine a so that a**5 + 