(o - 39)*(o + 1)*(7*o + 2)/9
Let -z**3/6 - z**2/6 + z/6 + 1/6 = 0. Calculate z.
-1, 1
Suppose -2*f**4/5 + 4*f**3/5 + 18*f**2/5 - 4*f/5 - 16/5 = 0. What is f?
-2, -1, 1, 4
Factor k**4/3 - 571*k**3/3 - k**2/3 + 571*k/3.
k*(k - 571)*(k - 1)*(k + 1)/3
Factor z**2/4 - 130*z + 519/4.
(z - 519)*(z - 1)/4
Factor -4*m**3/7 + 8*m**2/7 + 4*m/7 - 8/7.
-4*(m - 2)*(m - 1)*(m + 1)/7
Determine q, given that -4*q**5 + 24*q**4 - 79*q**3/4 - 3*q**2/2 + 5*q/4 = 0.
-1/4, 0, 1/4, 1, 5
Let 2*r**3 - 374*r**2 - 3106*r - 2730 = 0. What is r?
-7, -1, 195
Factor -g**4/4 + 3*g**3/2 + 99*g**2/4 + 44*g + 21.
-(g - 14)*(g + 1)**2*(g + 6)/4
Let 4*x**5 - 4*x**4 - 4*x**3 + 4*x**2 = 0. Calculate x.
-1, 0, 1
Factor 4*f**5 + 40*f**4 + 156*f**3 + 296*f**2 + 272*f + 96.
4*(f + 1)*(f + 2)**3*(f + 3)
What is i in 3*i**5 + 54*i**4 - 3*i**3 - 54*i**2 = 0?
-18, -1, 0, 1
Let -4*n**4 - 60*n**3 = 0. What is n?
-15, 0
Determine x, given that 4*x**2 + 4368*x - 4372 = 0.
-1093, 1
Factor 2*r**5/7 - 9054*r**4/7 + 10233276*r**3/7 + 30754172*r**2/7 + 30772290*r/7 + 10260450/7.
2*(r - 2265)**2*(r + 1)**3/7
Suppose -15*t**3 - 108*t**2 + 420*t = 0. What is t?
-10, 0, 14/5
Factor -3*u**3 + 27*u**2 - 60*u + 36.
-3*(u - 6)*(u - 2)*(u - 1)
Let 9*d**5/4 - 57*d**4 + 39*d**3/4 + 228*d**2 - 75*d = 0. What is d?
-2, 0, 1/3, 2, 25
Determine j so that 120*j**2 - 76*j + 8 = 0.
2/15, 1/2
Factor 81*z**2/8 + 693*z/4 + 5929/8.
(9*z + 77)**2/8
Determine f so that 3*f**3 - 12*f**2 + 15*f - 6 = 0.
1, 2
Determine x, given that 2*x**4 - 410*x**3 + 1218*x**2 - 1214*x + 404 = 0.
1, 202
Suppose -4*v**3 - 67*v**2/4 - 3*v = 0. Calculate v.
-4, -3/16, 0
Factor s**2/4 - 5*s + 9.
(s - 18)*(s - 2)/4
Factor 5*a**3 + 225*a**2 + 640*a + 420.
5*(a + 1)*(a + 2)*(a + 42)
Solve 2*z**3/9 + 212*z**2/9 - 8*z/9 - 848/9 = 0.
-106, -2, 2
Factor 2*j**5 + 14*j**4 + 14*j**3 - 30*j**2.
2*j**2*(j - 1)*(j + 3)*(j + 5)
What is v in 2*v**2/7 + 16*v - 354/7 = 0?
-59, 3
Factor 2*l**4/7 - 8*l**3/7 + 10*l**2/7 - 4*l/7.
2*l*(l - 2)*(l - 1)**2/7
Factor -4*h**3/3 + 40*h**2/3.
-4*h**2*(h - 10)/3
Find c such that 2*c**3/17 - 74*c**2/17 + 72*c/17 = 0.
0, 1, 36
Find x, given that -x**2 + 90*x + 91 = 0.
-1, 91
Determine t, given that 3*t**4 + 327*t**3/5 - 441*t**2/5 - 123*t + 138/5 = 0.
-23, -1, 1/5, 2
Determine l, given that 2*l**2 - 36*l = 0.
0, 18
Factor 3*r**3/2 - 123*r**2/2 + 1425*r/2 - 3249/2.
3*(r - 19)**2*(r - 3)/2
Find z, given that 5*z**2 + 290*z + 560 = 0.
-56, -2
Solve i**4 - 1482*i**3 + 541621*i**2 + 5527860*i + 13912900 = 0.
-5, 746
Factor 5*q**3 - 135*q**2 + 580*q - 660.
5*(q - 22)*(q - 3)*(q - 2)
Find f such that 4*f**5/3 - 56*f**4/3 - 428*f**3/3 - 992*f**2/3 - 944*f/3 - 320/3 = 0.
-2, -1, 20
Factor 86*j**4/3 - 176*j**3/3 + 94*j**2/3 - 4*j/3.
2*j*(j - 1)**2*(43*j - 2)/3
What is t in -5*t**4 - 50*t**3 - 75*t**2 + 50*t + 80 = 0?
-8, -2, -1, 1
Let 4*r**4 + 196*r**3 + 372*r**2 - 196*r - 376 = 0. Calculate r.
-47, -2, -1, 1
Find r such that 8*r**3 - 260*r**2 + 128*r = 0.
0, 1/2, 32
Solve 9*n**4/2 - 951*n**3/2 - 2187*n**2 + 4638*n - 1980 = 0 for n.
-6, 2/3, 1, 110
Solve -7*j**4/2 - 75*j**3/2 + 29*j**2/2 + 75*j/2 - 11 = 0.
-11, -1, 2/7, 1
Solve -5*v**5 + 50*v**3 - 45*v = 0 for v.
-3, -1, 0, 1, 3
Determine t, given that -4*t**2 - 112*t + 240 = 0.
-30, 2
What is h in -7*h**3/6 + 19*h**2/6 + 38*h/3 + 10/3 = 0?
-2, -2/7, 5
Factor 2*l**4/13 - 4*l**3/13 - 46*l**2/13 + 48*l/13 + 288/13.
2*(l - 4)**2*(l + 3)**2/13
Find b such that -b**2 - 50*b + 216 = 0.
-54, 4
Solve 363*p**3 - 4488*p**2 + 1596*p - 144 = 0.
2/11, 12
Find y, given that y**2/8 - 3423*y/4 + 11716929/8 = 0.
3423
Factor -2*b**2 - 40*b + 42.
-2*(b - 1)*(b + 21)
Factor -4*o**4 - 116*o**3 - 624*o**2 + 3584*o + 4096.
-4*(o - 4)*(o + 1)*(o + 16)**2
Factor 4*s**2/3 - 664*s/3.
4*s*(s - 166)/3
Let -5*l**5 - 100*l**4 + 585*l**3 - 980*l**2 + 500*l = 0. Calculate l.
-25, 0, 1, 2
Solve 14*i**4 - 850*i**3 + 1422*i**2 - 350*i - 236 = 0 for i.
-2/7, 1, 59
Factor -4*u**2 + 60*u - 224.
-4*(u - 8)*(u - 7)
Factor -4*k**3/5 - 2052*k**2/5 - 264192*k/5 - 262144/5.
-4*(k + 1)*(k + 256)**2/5
Determine u so that 3*u**2 - 7050*u + 4141875 = 0.
1175
Factor 3*g**2 - 1278*g - 1281.
3*(g - 427)*(g + 1)
Factor -k**4/2 - 79*k**3/2 - 155*k**2/2 - 77*k/2.
-k*(k + 1)**2*(k + 77)/2
Factor 3*f**5 - 12*f**4.
3*f**4*(f - 4)
Let s**5 - 734*s**4 + 133214*s**3 + 540956*s**2 + 679329*s + 272322 = 0. Calculate s.
-2, -1, 369
Factor 5*k**3 - 420*k**2 + 415*k.
5*k*(k - 83)*(k - 1)
Suppose 12*k**4 - 496*k**3 - 1380*k**2 - 1224*k - 352 = 0. Calculate k.
-1, -2/3, 44
Factor 27*l**2 - 4395*l - 978.
3*(l - 163)*(9*l + 2)
Suppose 3*k**3/5 - 36*k**2/5 - 189*k - 3822/5 = 0. What is k?
-7, 26
Suppose m**2/5 + 126*m/5 - 127/5 = 0. What is m?
-127, 1
Factor -4*z**3 + 32*z**2 - 84*z + 72.
-4*(z - 3)**2*(z - 2)
Factor -3*m**3 - 15*m**2 + 75*m + 375.
-3*(m - 5)*(m + 5)**2
Factor x**4/2 + 3*x**3/2 - 2*x**2 - 6*x.
x*(x - 2)*(x + 2)*(x + 3)/2
Let -12*s**4 - 584*s**3 - 1452*s**2 + 944*s + 1104 = 0. Calculate s.
-46, -3, -2/3, 1
Factor 3*l**2 + 33*l + 30.
3*(l + 1)*(l + 10)
Let 2*u**4/5 - 6*u**3/5 + 4*u**2/5 = 0. What is u?
0, 1, 2
Factor -3*u**4 - 60*u**3 + 276*u**2 + 5760*u - 27648.
-3*(u - 6)**2*(u + 16)**2
What is n in 52*n**4/3 + 28*n**3/3 - 284*n**2/3 + 92*n - 24 = 0?
-3, 6/13, 1
Factor -2*a**2 + 16*a.
-2*a*(a - 8)
Suppose 2*z**4/3 + 4*z**3/3 - 16*z**2 - 100*z/3 - 50/3 = 0. What is z?
-5, -1, 5
What is w in -w**3/5 + 29*w**2/5 - 124*w/5 - 132 = 0?
-3, 10, 22
Factor 5*d**4 + 10*d**3 - 1500*d**2 + 7000*d + 20000.
5*(d - 10)**2*(d + 2)*(d + 20)
Factor -2*t**4 + 160*t**3 - 3354*t**2 + 6084*t.
-2*t*(t - 39)**2*(t - 2)
Solve -9*f**2/4 + 303*f/4 = 0 for f.
0, 101/3
Determine a, given that -a**5 - a**4 + 7*a**3 + a**2 - 6*a = 0.
-3, -1, 0, 1, 2
Suppose -5*y**5/2 + 785*y**4 - 60015*y**3 - 255150*y**2 + 350595*y/2 + 1137645 = 0. What is y?
-3, 2, 159
Factor -40*r**2 + 115*r - 70.
-5*(r - 2)*(8*r - 7)
Factor -2*t**3/7 - 762*t**2/7 - 96774*t/7 - 4096766/7.
-2*(t + 127)**3/7
What is a in 2*a**5 - 10*a**4 - 124*a**3 + 412*a**2 + 2170*a - 2450 = 0?
-5, 1, 7
Suppose 3*t**2 + 1791*t + 1788 = 0. What is t?
-596, -1
Suppose -20*u**2 + 415*u + 105 = 0. Calculate u.
-1/4, 21
Solve 3*c**3 + 44*c**2 + 93*c - 36 = 0.
-12, -3, 1/3
Determine n so that 2*n**3/7 - 16*n**2/7 + 22*n/7 + 40/7 = 0.
-1, 4, 5
Let -25*f**4 - 165*f**3 - 205*f**2 - 15*f + 50 = 0. Calculate f.
-5, -1, 2/5
Solve -2*z**3/13 + 94*z**2/13 + 194*z/13 + 98/13 = 0 for z.
-1, 49
Suppose -b**5/7 + 12*b**4/7 + 3*b**3/7 - 38*b**2/7 + 24*b/7 = 0. Calculate b.
-2, 0, 1, 12
Find w such that w**5/6 - 7*w**4/6 - w**3/6 + 7*w**2/6 = 0.
-1, 0, 1, 7
Let -g**2/3 - 2*g/3 + 33 = 0. What is g?
-11, 9
Let 2*z**4 - 5*z**3 - 29*z**2 + 8*z + 60 = 0. Calculate z.
-2, 3/2, 5
Factor 121*d**5/2 - 473*d**4/2 + 359*d**3 - 263*d**2 + 185*d/2 - 25/2.
(d - 1)**3*(11*d - 5)**2/2
Find j such that -2*j**5/19 - 56*j**4/19 - 104*j**3/19 = 0.
-26, -2, 0
Solve -4*u**5/7 - 40*u**4/7 - 88*u**3/7 - 16*u**2/7 + 92*u/7 + 8 = 0.
-7, -2, -1, 1
Determine q, given that 75*q**4 - 690*q**3 + 2127*q**2 - 2484*q + 972 = 0.
1, 18/5
Factor 27*s**2 + 3624*s + 804.
3*(s + 134)*(9*s + 2)
Solve -n**3/9 - 1171*n**2/9 - 130*n = 0.
-1170, -1, 0
Suppose -3*i**2 - 51*i - 90 = 0. Calculate i.
-15, -2
Factor 3*f**3/5 + 84*f**2/5 + 81*f/5.
3*f*(f + 1)*(f + 27)/5
Factor 2*j**2 + 1216*j.
2*j*(j + 608)
Factor 10*p**3/23 + 124*p**2/23 - 616*p/23 + 656/23.
2*(p - 2)**2*(5*p + 82)/23
Factor -w**3/5 - 2*w**2/5 + 64*w/5 - 32.
-(w - 4)**2*(w + 10)/5
Factor a**3/4 + 53*a**2/4 + 775*a/4 + 1875/4.
(a + 3)*(a + 25)**2/4
Factor 6*b**4 + 165*b**3 - 87*b**2 - 84*b.
3*b*(b - 1)*(b + 28)*(2*b + 1)
Let 4*v**4 + 112*v**3 + 108*v**2 = 0. Calculate v.
-27, -1, 0
Find w, given that 4*w**4 - 672*w**3 - 2732*w**2 - 3432*w - 1376 = 0.
-2, -1, 172
Suppose 5*u**3 - 245*u**2 + 240*u = 0. Calculate u.
0, 1, 48
Let 3*m**5/5 + 72*m**4/5 + 522*m**3/5 + 1164*m**2/5 + 207*m + 324/5 = 0. What is m?
-12, -9, -1
Factor -2*d**3 - 4*d**2 + 6*d.
-2*d*(d - 1)*(d + 3)
Determine s so that s**2 - 33*s - 34 = 0.
-1, 34
Factor -15*h**2/4 + 2841*h/2 + 1137/4.
-3*(h - 379)*(5*h + 1)/4
Suppose 3*l**2 + 3588*l + 1072812 = 0. Calculate l.
-598
Determine x, given that 2*x**3/3 + 2*x**2 - 2*x/3 - 2 = 0.
-3, -1, 1
Factor -q**2 - 1674*q - 700569.
-(q + 837)**2
Factor 2*s**4 + 16*s**3 + 44*s**2 + 48*s + 18.
2*(s + 1)**2*(s + 3)**2