**2/5 + 33*s/5.
-s*(s - 33)/5
Let -5*n**4 - 25*n**3 - 40*n**2 - 20*n = 0. Calculate n.
-2, -1, 0
Solve -2*o**5 + 12*o**4 - 16*o**3 - 12*o**2 + 18*o = 0 for o.
-1, 0, 1, 3
Suppose u**2 - 75*u + 74 = 0. What is u?
1, 74
Solve q**4 + 5*q**3 - 18*q**2 - 20*q + 56 = 0 for q.
-7, -2, 2
Find q such that -q**2/5 + 1476*q/5 = 0.
0, 1476
Factor w**2 - 540*w + 539.
(w - 539)*(w - 1)
Let b**2/2 - 53*b/2 - 27 = 0. What is b?
-1, 54
Factor 2*x**3/9 + 56*x**2/9 + 392*x/9.
2*x*(x + 14)**2/9
Solve -3*r**4/4 - 3*r**3 + 57*r**2/4 - 21*r/2 = 0.
-7, 0, 1, 2
Factor 3*q**3/8 + 9*q**2/2 + 27*q/2.
3*q*(q + 6)**2/8
Let 33*c**4 - 651*c**3/5 + 789*c**2/5 - 57*c - 18/5 = 0. Calculate c.
-3/55, 1, 2
Factor -3*r**4/7 - 87*r**3/7 - 450*r**2/7 - 852*r/7 - 552/7.
-3*(r + 2)**3*(r + 23)/7
Factor 2*o**4/9 + 58*o**3/9 - 20*o**2/3.
2*o**2*(o - 1)*(o + 30)/9
Determine o so that -2*o**2 - 14*o = 0.
-7, 0
Factor 4*u**2 + 2244*u + 2240.
4*(u + 1)*(u + 560)
Find p such that p**4 + 55*p**3 + 688*p**2 + 2496*p = 0.
-39, -8, 0
Let 4*t**2 - 20*t - 200 = 0. Calculate t.
-5, 10
Solve z**5/2 + 5*z**4 + 29*z**3/2 + 16*z**2 + 6*z = 0 for z.
-6, -2, -1, 0
Find c such that 9*c**4/4 - 201*c**3/2 + 163*c**2 - 151*c/2 + 43/4 = 0.
1/3, 1, 43
What is u in u**3 + 129*u**2 + 255*u + 127 = 0?
-127, -1
What is r in -42*r**4/13 + 220*r**3/13 + 550*r**2/13 - 1280*r/13 + 552/13 = 0?
-3, 2/3, 1, 46/7
Find r, given that -605*r**3 + 14740*r**2 - 5300*r + 480 = 0.
2/11, 24
Determine h so that -48*h**4 - 24*h**3 + 21*h**2 - 3*h = 0.
-1, 0, 1/4
Factor -5*r**2 - 910*r - 41405.
-5*(r + 91)**2
Solve -j**2/8 + 1715*j/4 - 2941225/8 = 0.
1715
Let 16*y**5 - 28*y**4 - 88*y**3 + 76*y**2 + 24*y = 0. What is y?
-2, -1/4, 0, 1, 3
Factor 4*l**2 - 592*l + 1740.
4*(l - 145)*(l - 3)
Factor g**3/3 + 4*g**2 + 3*g - 22/3.
(g - 1)*(g + 2)*(g + 11)/3
Determine p, given that -p**4/4 + 3*p**3/4 + 51*p**2/4 + 37*p/4 - 45/2 = 0.
-5, -2, 1, 9
Factor -2*w**3/3 + 208*w**2/3 - 202*w/3 - 412/3.
-2*(w - 103)*(w - 2)*(w + 1)/3
Find u, given that 3*u**2/2 - 369*u + 1452 = 0.
4, 242
Factor -3*g**2 + 276*g + 279.
-3*(g - 93)*(g + 1)
Find k such that -4*k**5 + 20*k**4/3 + 324*k**3 + 612*k**2 + 896*k/3 = 0.
-7, -1, 0, 32/3
Find n such that -6*n**2 + 268*n - 176 = 0.
2/3, 44
Solve -3*y**3 - 2802*y**2 = 0 for y.
-934, 0
Factor o**3/3 + 19*o**2 + 361*o + 6859/3.
(o + 19)**3/3
Factor -14*g**2 + 276*g + 80.
-2*(g - 20)*(7*g + 2)
Factor 2*u**3 + 12*u**2 - 2*u - 12.
2*(u - 1)*(u + 1)*(u + 6)
Factor 3*l**2/7 + 444*l/7.
3*l*(l + 148)/7
Let -4*f**4 + 48*f**3 + 60*f**2 - 104*f = 0. What is f?
-2, 0, 1, 13
What is y in y**5 + 15*y**4 + 72*y**3 + 108*y**2 = 0?
-6, -3, 0
Factor -3*g**2 - 1299*g + 1302.
-3*(g - 1)*(g + 434)
Determine a so that 4*a**5 + 188*a**4 + 360*a**3 - 8*a**2 - 364*a - 180 = 0.
-45, -1, 1
Suppose -m**4/3 + 9*m**3/2 - 43*m**2/3 + 33*m/2 - 19/3 = 0. Calculate m.
1, 2, 19/2
Factor 3*p**2 - 4665*p.
3*p*(p - 1555)
Suppose -5*g**3 + 55*g**2 - 50*g = 0. What is g?
0, 1, 10
Let -g**4/7 + 20*g**3/7 - 93*g**2/7 + 18*g = 0. What is g?
0, 3, 14
Factor -5*b**2 - 115*b.
-5*b*(b + 23)
Factor -5*u**2/2 - 5*u + 315/2.
-5*(u - 7)*(u + 9)/2
Factor 2*p**3/17 + 2232*p**2/17 + 830304*p/17 + 102957696/17.
2*(p + 372)**3/17
Determine h, given that -2*h**5/7 + 32*h**4/21 + 2*h**3/7 - 24*h**2/7 - 40*h/21 = 0.
-1, -2/3, 0, 2, 5
Suppose -9*l**5/5 + 87*l**4/5 - 184*l**3/5 + 112*l**2/5 = 0. Calculate l.
0, 4/3, 7
Solve -w**2/7 - 190*w/7 - 9025/7 = 0 for w.
-95
Factor k**2/5 - 61*k/5 + 66.
(k - 55)*(k - 6)/5
Factor 3*r**4 - 57*r**3 - 9*r**2 + 177*r - 114.
3*(r - 19)*(r - 1)**2*(r + 2)
Suppose -8*h**5/3 + 30*h**4 - 68*h**3/3 - 120*h**2 + 400*h/3 = 0. Calculate h.
-2, 0, 5/4, 2, 10
Let -2*d**5 - 82*d**4 - 1088*d**3 - 4392*d**2 + 6912*d + 55296 = 0. What is d?
-16, -6, 3
Factor -4*h**2/3 - 220*h + 4816/3.
-4*(h - 7)*(h + 172)/3
Find f, given that 3*f**2 - 139*f + 46 = 0.
1/3, 46
Factor 3*d**5/2 + 435*d**4/2 + 16401*d**3/2 + 45369*d**2/2.
3*d**2*(d + 3)*(d + 71)**2/2
Factor 8*r**3/7 - 362*r**2/7 - 275*r/7 - 46/7.
(r - 46)*(2*r + 1)*(4*r + 1)/7
Let 5*y**2 - 140*y + 900 = 0. Calculate y.
10, 18
Factor -2*v**2/5 - 56*v/5 - 392/5.
-2*(v + 14)**2/5
Factor -3*w**3 + 2142*w**2 - 380196*w - 768984.
-3*(w - 358)**2*(w + 2)
Factor 5*y**3 - 80*y**2 + 245*y + 330.
5*(y - 11)*(y - 6)*(y + 1)
Solve -15123*d**2 + 43878*d - 31827 = 0.
103/71
What is l in -4*l**5/9 + 56*l**4/9 - 128*l**3/9 - 56*l**2/9 + 44*l/3 = 0?
-1, 0, 1, 3, 11
Factor z**3/7 + 20*z**2/7 + 132*z/7 + 288/7.
(z + 6)**2*(z + 8)/7
Factor -15*m**2 + 6771*m - 2706.
-3*(m - 451)*(5*m - 2)
What is z in -3*z**2/2 + 258*z - 510 = 0?
2, 170
Determine l so that -l**5/3 - 17*l**4/3 - 43*l**3/3 - 11*l**2/3 + 44*l/3 + 28/3 = 0.
-14, -2, -1, 1
Solve -6*x**4/7 + 12*x**3/7 + 162*x**2/7 + 312*x/7 + 24 = 0 for x.
-2, -1, 7
Solve -r**5 - 20*r**4 + 97*r**3 + 20*r**2 - 96*r = 0.
-24, -1, 0, 1, 4
Factor c**4 - 36*c**3 + 286*c**2 + 684*c + 361.
(c - 19)**2*(c + 1)**2
Factor u**2/3 + 86*u.
u*(u + 258)/3
Factor 3*z**3/5 - 12*z**2 + 243*z/5 - 54.
3*(z - 15)*(z - 3)*(z - 2)/5
Let 5*i**2 + 395*i - 400 = 0. What is i?
-80, 1
Factor n**2/6 - 227*n/6 + 112.
(n - 224)*(n - 3)/6
Find f, given that 3*f**2 + 2091*f + 2088 = 0.
-696, -1
Factor 4*g**2 - 68*g - 336.
4*(g - 21)*(g + 4)
Factor 2*s**3/13 + 50*s**2/13 + 296*s/13 + 408/13.
2*(s + 2)*(s + 6)*(s + 17)/13
Determine h, given that -2*h**4/3 - 41*h**3/3 - 89*h**2 - 496*h/3 + 320/3 = 0.
-8, -5, 1/2
Factor 2*b**2 + 2876*b + 1033922.
2*(b + 719)**2
Factor 2*j**3 - 404*j**2 - 406*j.
2*j*(j - 203)*(j + 1)
Solve -2*a**5 + 18*a**4 - 58*a**3 + 78*a**2 - 36*a = 0.
0, 1, 2, 3
Let -10134732*a**2/5 - 11028*a/5 - 3/5 = 0. What is a?
-1/1838
Suppose m**2 + 124*m - 512 = 0. What is m?
-128, 4
Factor 45*f**3 - 955*f**2 - 780*f + 220.
5*(f - 22)*(f + 1)*(9*f - 2)
Determine u, given that -9*u**3 - 474*u**2 - 771*u - 306 = 0.
-51, -1, -2/3
Suppose z**2/12 - z/6 - 14 = 0. What is z?
-12, 14
Factor 8*h**3/13 - 2*h**2/13 - 2*h + 20/13.
2*(h - 1)*(h + 2)*(4*h - 5)/13
Determine v, given that 4*v**5 - 76*v**4 + 420*v**3 - 196*v**2 - 2744*v = 0.
-2, 0, 7
Find g such that -3*g**5 - 15*g**4 - 21*g**3 + 3*g**2 + 24*g + 12 = 0.
-2, -1, 1
Suppose -t**5 + 6*t**4 + 20*t**3 - 150*t**2 + 125*t = 0. What is t?
-5, 0, 1, 5
Factor 2*q**3/3 - 248*q**2/3 + 3096*q - 31104.
2*(q - 54)**2*(q - 16)/3
Factor -2*q**4 - 18*q**3 - 44*q**2 + 64.
-2*(q - 1)*(q + 2)*(q + 4)**2
Factor h**2 - 32*h - 68.
(h - 34)*(h + 2)
Factor 3*j**3/5 + 36*j**2/5 + 12*j.
3*j*(j + 2)*(j + 10)/5
Solve 2*g**5 - 4830*g**4 + 4665780*g**3 - 2253571740*g**2 + 544237575210*g - 52573349765286 = 0.
483
Factor -4*k**5 + 24*k**4 + 16*k**3 - 136*k**2 - 204*k - 80.
-4*(k - 5)*(k - 4)*(k + 1)**3
Factor 2*z**5/5 + 12*z**4/5 + 22*z**3/5 + 4*z**2/5 - 24*z/5 - 16/5.
2*(z - 1)*(z + 1)*(z + 2)**3/5
Suppose -c**3/5 - 19*c**2/5 + 4*c = 0. What is c?
-20, 0, 1
Determine d, given that -d**3/4 + 1437*d**2/4 - 1076*d + 717 = 0.
1, 2, 1434
Suppose -5*w**4 + 40*w**3 - 65*w**2 + 30*w = 0. Calculate w.
0, 1, 6
Factor -x**2/7 + 14*x + 99/7.
-(x - 99)*(x + 1)/7
Find q, given that -2*q**3/3 + 26*q**2 + 92*q/3 - 160 = 0.
-3, 2, 40
Let -20*z**4 - 285*z**3 - 1050*z**2 - 245*z = 0. Calculate z.
-7, -1/4, 0
Let 2*f**2/3 + 1564*f/3 + 305762/3 = 0. What is f?
-391
Determine g so that 4*g**3/9 - 16*g**2/3 - 20*g = 0.
-3, 0, 15
Factor -3*b**3 - 15*b**2 + 12*b + 60.
-3*(b - 2)*(b + 2)*(b + 5)
Factor m**5/2 - 7*m**4/2 + 9*m**3 - 11*m**2 + 13*m/2 - 3/2.
(m - 3)*(m - 1)**4/2
Factor -4*w**2 + 48*w - 80.
-4*(w - 10)*(w - 2)
Solve -2*m**2/3 + 32*m + 102 = 0 for m.
-3, 51
Factor -h**2 + 342*h - 680.
-(h - 340)*(h - 2)
Factor -2*j**3 - 280*j**2 - 826*j - 548.
-2*(j + 1)*(j + 2)*(j + 137)
Suppose 2*i**5 + 12*i**4 - 16*i**3 - 12*i**2 + 14*i = 0. Calculate i.
-7, -1, 0, 1
Factor -5*h**3 - 25*h**2 + 40*h + 240.
-5*(h - 3)*(h + 4)**2
Factor -g**4/6 - 2*g**3/3 + g**2/2 + 5*g/3 - 4/3.
-(g - 1)**2*(g + 2)*(g + 4)/6
Factor -k**5/2 - 93*k**4 - 4596*k**3 - 25384*k**2 - 49320*k - 32400.
-(k + 2)**3*(k + 90)**2/2
Suppose g**5/3 + 25*g**4/3 + 69*g**3 + 189*g**2 = 0. What is g?
-9, -7, 0
Determine w, given that 3*w**2 + 78*w = 0.
-26, 0
Factor 5*v**2 + 60*v + 180.
5*(v + 6)**2
Determine p, given that -p**3/5 - 769*p**2/5 - 148224*p/5 - 147456/5 = 0.
-384, -1
Factor b**4 - 190*b**3 + 11016*b**2 - 120224*b - 4402048.
(b - 68)**3*(b + 14)
F