a + 675)**2/7
Factor -24*d**3/7 + 153*d**2/7 - 39*d/7 - 90/7.
-3*(d - 6)*(d - 1)*(8*d + 5)/7
Factor 25*x**3/2 + 745*x**2/2 + 2952*x + 2592.
(x + 1)*(5*x + 72)**2/2
Factor x**2 - 2*x/3 - 8/3.
(x - 2)*(3*x + 4)/3
Let -32*q**5/15 + 1136*q**4/15 + 614*q**3/15 - 1352*q**2/15 - 194*q/5 + 72/5 = 0. What is q?
-1, -3/4, 1/4, 1, 36
Determine m so that m**2/4 + 1399*m/2 - 2799/4 = 0.
-2799, 1
Solve -k**3 + 11*k**2/4 - 5*k/4 - 1/2 = 0.
-1/4, 1, 2
Find z, given that -12*z**5/7 + 8*z**4 + 4*z**3/7 - 144*z**2/7 - 16*z/7 + 64/7 = 0.
-1, 2/3, 2, 4
Find t, given that 3*t**4 - 153*t**3 + 1335*t**2 + 15921*t + 25230 = 0.
-5, -2, 29
Factor -p**2/8 - 527*p/4 - 277729/8.
-(p + 527)**2/8
Solve -4*a**5/3 - 40*a**4/3 + 36*a**3 + 48*a**2 = 0 for a.
-12, -1, 0, 3
Let 2*h**2 - 4780*h + 2856050 = 0. What is h?
1195
Solve -45*s**5 + 321*s**4 - 402*s**3 - 672*s**2 + 96*s = 0 for s.
-1, 0, 2/15, 4
Find l, given that 2*l**2/3 + 454*l/3 = 0.
-227, 0
Factor 5*s**4 - 320*s**3 - 325*s**2.
5*s**2*(s - 65)*(s + 1)
Find t such that 8*t**3 - 69*t**2 + 40*t = 0.
0, 5/8, 8
Suppose 4*d**2 - 676*d - 680 = 0. Calculate d.
-1, 170
Factor -5*j**5 + 185*j**4 + 390*j**3 + 10*j**2 - 385*j - 195.
-5*(j - 39)*(j - 1)*(j + 1)**3
Suppose -5*m**5 + 35*m**4 + 5*m**3 - 35*m**2 = 0. Calculate m.
-1, 0, 1, 7
Find i such that 2*i**2/5 - 178*i/5 + 516/5 = 0.
3, 86
What is f in -177*f**2 + 351*f + 6 = 0?
-1/59, 2
Factor u**4/6 - 25*u**3 - 417*u**2/2 - 1024*u/3 - 158.
(u - 158)*(u + 1)**2*(u + 6)/6
Determine b, given that -5*b**5/3 - 42*b**4 - 1105*b**3/3 - 3736*b**2/3 - 1088*b - 512/3 = 0.
-8, -1, -1/5
Factor -3*d**2 + 1710*d - 3408.
-3*(d - 568)*(d - 2)
Find t, given that 14*t**3/9 - 746*t**2/9 + 940*t/9 - 208/9 = 0.
2/7, 1, 52
Factor -6*n**3 + 2314*n**2 - 222722*n - 74498.
-2*(n - 193)**2*(3*n + 1)
Factor 27*j**4 - 816*j**3 + 8280*j**2 - 28800*j + 6000.
3*(j - 10)**3*(9*j - 2)
Suppose -s**4/3 + 7*s**3 - 145*s**2/3 + 125*s - 250/3 = 0. Calculate s.
1, 5, 10
Let -5*c**2 + 660*c + 2025 = 0. What is c?
-3, 135
Suppose 4*l**4 - 74*l**3/3 + 24*l**2 - 10*l/3 = 0. What is l?
0, 1/6, 1, 5
What is s in s**2/5 - 588*s/5 + 583 = 0?
5, 583
Let -d**5/5 - 7*d**4/5 - 2*d**3 + 2*d**2/5 + 11*d/5 + 1 = 0. What is d?
-5, -1, 1
Factor -60*h**2 - 722*h - 24.
-2*(h + 12)*(30*h + 1)
Solve 3*o**5 + 24*o**4 - 225*o**3 + 390*o**2 + 132*o - 504 = 0.
-14, -1, 2, 3
Solve 3*o**4/2 - 3*o**3/2 - 201*o**2/2 - 177*o/2 + 189 = 0 for o.
-7, -2, 1, 9
Factor 2*m**4 - 70*m**3 - 738*m**2 - 2322*m - 2376.
2*(m - 44)*(m + 3)**3
Determine f, given that -2*f**3/5 - 4*f**2 + 138*f/5 - 36 = 0.
-15, 2, 3
Find b such that 3*b**4 - 39*b**3 + 30*b**2 + 72*b = 0.
-1, 0, 2, 12
Solve 2*g**2 + 332*g/3 - 224/3 = 0.
-56, 2/3
Factor 2*l**4 + 412*l**3 + 21218*l**2.
2*l**2*(l + 103)**2
Factor 3*p**4 - 954*p**3 + 951*p**2.
3*p**2*(p - 317)*(p - 1)
Factor 21*t**2 + 39*t - 6.
3*(t + 2)*(7*t - 1)
Factor 3*g**3 + 105*g**2 + 822*g + 720.
3*(g + 1)*(g + 10)*(g + 24)
Suppose -4*o**4/3 - 28*o**3/3 - 64*o**2/3 - 16*o = 0. Calculate o.
-3, -2, 0
Determine r so that -2*r**5/7 + 8*r**4/7 + 2*r**3/7 - 8*r**2/7 = 0.
-1, 0, 1, 4
Solve 4*v**3 + 44*v**2 - 100*v + 52 = 0.
-13, 1
Solve 3*m**2 - 273*m - 276 = 0.
-1, 92
Let -4*c**5 + 660*c**4 + 1336*c**3 + 8*c**2 - 1332*c - 668 = 0. What is c?
-1, 1, 167
Factor z**2/8 - 43*z/8 - 11/2.
(z - 44)*(z + 1)/8
Factor 5*h**5 - 155*h**4 + 1415*h**3 - 3365*h**2 + 3080*h - 980.
5*(h - 14)**2*(h - 1)**3
What is x in x**4/5 + x**3 - 28*x**2/5 - 32*x/5 = 0?
-8, -1, 0, 4
Determine p so that p**2 + 26*p + 25 = 0.
-25, -1
Let -4*n**3 - 836*n**2 - 832*n = 0. What is n?
-208, -1, 0
Find u, given that 2*u**5/11 + 36*u**4/11 + 10*u**3/11 - 1488*u**2/11 + 1440*u/11 = 0.
-12, 0, 1, 5
Find o, given that -5*o**3 - 165*o**2 + 530*o - 360 = 0.
-36, 1, 2
Factor 3*n**4/2 + 3462*n**3 + 2996361*n**2 + 1152600198*n + 332525157123/2.
3*(n + 577)**4/2
Factor 2*m**2/3 + 76*m/3 - 160/3.
2*(m - 2)*(m + 40)/3
Determine r, given that 4*r**4 + 242*r**3 + 3206*r**2 - 13952*r + 6144 = 0.
-32, 1/2, 3
Find h, given that 45*h**3 + 3180*h**2 - 1075*h - 710 = 0.
-71, -1/3, 2/3
Suppose k**5 - 19*k**4 + 111*k**3 - 173*k**2 - 112*k + 192 = 0. Calculate k.
-1, 1, 3, 8
Factor 3*v**2 - 402*v + 399.
3*(v - 133)*(v - 1)
Factor -o**4 - 858*o**3 - 857*o**2.
-o**2*(o + 1)*(o + 857)
Let 4*u**3 - 8*u**2 + 4*u = 0. Calculate u.
0, 1
What is i in -i**3/4 - 5*i**2/4 + 2*i + 3 = 0?
-6, -1, 2
Determine k so that -k**3/4 - 40*k**2 - 6557*k/4 - 6241/2 = 0.
-79, -2
Factor -4*w**3/7 - 4*w**2/7 + 344*w/7 + 960/7.
-4*(w - 10)*(w + 3)*(w + 8)/7
Factor -f**3 + 43*f**2/2 - 152*f + 352.
-(f - 8)**2*(2*f - 11)/2
Find q, given that q**3 + 32*q**2 + 57*q - 90 = 0.
-30, -3, 1
Find t, given that -4*t**3 - 20*t**2 = 0.
-5, 0
Determine c so that 3*c**2/4 + 33*c/4 - 60 = 0.
-16, 5
Determine k, given that 12*k**4/7 + 15*k**3/7 - 54*k**2/7 + 27*k/7 = 0.
-3, 0, 3/4, 1
Factor -81*j**5 - 95580*j**4 + 191376*j**3 - 127632*j**2 + 28368*j.
-3*j*(j + 1182)*(3*j - 2)**3
Factor n**4 - n**3 - 3*n**2 + n + 2.
(n - 2)*(n - 1)*(n + 1)**2
Factor -2*x**2/7 + 404*x/7 - 800/7.
-2*(x - 200)*(x - 2)/7
Suppose -2*h**5/9 - 16*h**4/9 - 44*h**3/9 - 16*h**2/3 - 2*h = 0. Calculate h.
-3, -1, 0
Solve -5*g**2/2 + 25*g - 105/2 = 0.
3, 7
Let -u**2 + 14*u - 13 = 0. Calculate u.
1, 13
Factor -2*p**3/17 + 8*p**2/17 - 6*p/17.
-2*p*(p - 3)*(p - 1)/17
Factor k**4/8 + 649*k**3/8 + 102327*k**2/8 - 968905*k/8 + 108241.
(k - 8)*(k - 1)*(k + 329)**2/8
Factor -4*r**4 + 60*r**3 - 116*r**2 - 828*r - 648.
-4*(r - 9)**2*(r + 1)*(r + 2)
Factor -3*k**2 - 357*k - 2664.
-3*(k + 8)*(k + 111)
Find d such that -d**2 - 26*d - 48 = 0.
-24, -2
Factor 4*y**3 + 60*y**2 + 152*y - 576.
4*(y - 2)*(y + 8)*(y + 9)
Factor 2*h**5/9 - 2*h**4 - 2*h**3/9 + 122*h**2/9 + 56*h/3 + 64/9.
2*(h - 8)*(h - 4)*(h + 1)**3/9
Factor -33*h**5/2 + 27*h**4/2 + 3*h**3.
-3*h**3*(h - 1)*(11*h + 2)/2
Factor 2*o**4 + 27*o**3 + 123*o**2 + 205*o + 75.
(o + 3)*(o + 5)**2*(2*o + 1)
Factor -x**4 + 4*x**3 + 21*x**2 + 4*x - 28.
-(x - 7)*(x - 1)*(x + 2)**2
Find t such that -3*t**2 + 10503*t - 10500 = 0.
1, 3500
Find m such that 2*m**5 - 10*m**4 - 18*m**3 + 34*m**2 + 16*m - 24 = 0.
-2, -1, 1, 6
Solve -5*j**3 - 190*j**2 - 700*j - 680 = 0.
-34, -2
Factor -2*i**3 - 16*i**2 + 38*i - 20.
-2*(i - 1)**2*(i + 10)
Determine w, given that -3*w**5/5 - 48*w**4/5 + 174*w**3/5 + 48*w**2/5 - 171*w/5 = 0.
-19, -1, 0, 1, 3
Suppose s**4/5 - 8*s**3 + 141*s**2/5 + 126*s/5 - 648/5 = 0. Calculate s.
-2, 3, 36
Factor 11*n**5/7 + 2*n**4/7.
n**4*(11*n + 2)/7
Suppose -4*a**4 + 4*a**3 + 2084*a**2 - 12180*a + 18000 = 0. What is a?
-25, 3, 20
Factor -m**4/2 + 13*m**3.
-m**3*(m - 26)/2
Factor -x**5 - 29*x**4 + 35*x**3 + 153*x**2 + 90*x.
-x*(x - 3)*(x + 1)**2*(x + 30)
Factor w**4/2 + 17*w**3 + 192*w**2 + 832*w + 1024.
(w + 2)*(w + 8)**2*(w + 16)/2
Solve -2*x**4/9 - 2*x**3/9 + 32*x**2/9 + 32*x/9 = 0.
-4, -1, 0, 4
Factor -4*h**2 - 6416*h - 2572816.
-4*(h + 802)**2
Factor x**5/6 + 23*x**4/2 + 215*x**3 + 1733*x**2/3 + 1111*x/2 + 363/2.
(x + 1)**3*(x + 33)**2/6
Factor 4*b**2 + 17109*b + 4277.
(b + 4277)*(4*b + 1)
Suppose 2*x**3/3 + 1328*x**2/3 - 5336*x/3 + 5344/3 = 0. Calculate x.
-668, 2
Factor -3*d**4 + 12*d**3 - 18*d**2 + 12*d - 3.
-3*(d - 1)**4
Solve -4*m**5/5 - 36*m**4 - 480*m**3 - 1600*m**2 = 0 for m.
-20, -5, 0
Find o, given that -o**2/4 + 11*o/2 + 75/4 = 0.
-3, 25
Factor 2*t**2 + 210*t + 1552.
2*(t + 8)*(t + 97)
Factor 2*d**3/17 - 44*d**2/17 + 150*d/17 - 108/17.
2*(d - 18)*(d - 3)*(d - 1)/17
Let x**5/3 - 41*x**4/3 - x**3/3 + 41*x**2/3 = 0. Calculate x.
-1, 0, 1, 41
Factor -4*c**5 + 156*c**4 - 1776*c**3 + 8896*c**2 - 20736*c + 18432.
-4*(c - 24)*(c - 4)**3*(c - 3)
Suppose -16*f**3/5 + 28*f**2 - 284*f/5 - 16 = 0. What is f?
-1/4, 4, 5
Suppose -2*r**3 - 14*r**2 - 22*r - 10 = 0. What is r?
-5, -1
Solve -2*v**2 - 354*v + 356 = 0 for v.
-178, 1
Factor -u**4/3 - 19*u**3 + 239*u**2/3 - 101*u + 122/3.
-(u - 2)*(u - 1)**2*(u + 61)/3
Factor 5*o**3 + 195*o**2 + 700*o.
5*o*(o + 4)*(o + 35)
Factor 2*y**2 - 110*y - 2628.
2*(y - 73)*(y + 18)
Suppose -3*w**5 + 33*w**4 - 117*w**3 + 183*w**2 - 132*w + 36 = 0. Calculate w.
1, 2, 6
Suppose 2*a**3/9 - 368*a**2/9 + 5518*a/3 + 3844 = 0. What is a?
-2, 93
Factor -12*j**5 - 1053*j**4 - 22968*j**3 + 5808*j**2.
-3*j**2*(j + 44)**2*(4*j - 1)
Suppose -v**3/3 - 16*v**2/3 - 5*v = 0. What is v?
-15, -1, 0
Suppose 3*