)
Solve -n**2 + 24*n + 81 = 0.
-3, 27
Factor -2*d**3/11 - 58*d**2/11 - 380*d/11.
-2*d*(d + 10)*(d + 19)/11
Factor s**5 - 3*s**4 + 3*s**3 - s**2.
s**2*(s - 1)**3
Let 4*x**2 + 4056*x + 1028196 = 0. What is x?
-507
Suppose 3*w**5/7 - 18*w**4/7 - 9*w**3/7 + 60*w**2/7 - 36*w/7 = 0. What is w?
-2, 0, 1, 6
Let -348*k**2 + 1040*k + 12 = 0. Calculate k.
-1/87, 3
Factor 3*t**2 + 141*t - 144.
3*(t - 1)*(t + 48)
Find r such that -162*r**3/7 - 360*r**2/7 - 74*r/7 - 4/7 = 0.
-2, -1/9
Suppose p**3/6 + 84*p**2 - 505*p/6 = 0. Calculate p.
-505, 0, 1
Determine d so that -d**3 - 7*d**2 + 9*d + 63 = 0.
-7, -3, 3
Factor 2*i**5/15 - 2*i**4/5 - 44*i**3/15 - 76*i**2/15 - 18*i/5 - 14/15.
2*(i - 7)*(i + 1)**4/15
Factor 16*o**4/5 - 536*o**3/5 + 156*o**2 - 386*o/5 + 64/5.
2*(o - 32)*(2*o - 1)**3/5
Find d such that -4*d**4 - 16*d**3 + 72*d**2 - 80*d + 28 = 0.
-7, 1
Factor -18*d**2 + 278*d - 260.
-2*(d - 1)*(9*d - 130)
Suppose -2*h**5/3 - 4*h**4/3 + 16*h**3/3 = 0. Calculate h.
-4, 0, 2
Let -40*n**4 - 134*n**3/3 + 230*n**2/3 + 32*n/3 - 8/3 = 0. What is n?
-2, -1/4, 2/15, 1
Factor -i**3/2 + 3*i**2 + 18*i - 108.
-(i - 6)**2*(i + 6)/2
Find n such that -14*n**3/3 - 298*n**2/3 - 616*n/3 - 152/3 = 0.
-19, -2, -2/7
Determine x so that x**2/8 - 29*x/2 + 115/8 = 0.
1, 115
Let -2*q**3/13 - 4*q**2/13 = 0. What is q?
-2, 0
Determine q, given that q**4/6 + 27*q**3/2 + 280*q**2 + 800*q/3 = 0.
-40, -1, 0
Determine d, given that 50*d**3/11 - 206*d**2/11 + 174*d/11 - 18/11 = 0.
3/25, 1, 3
Factor -27*j**4 - 18*j**3 + 60*j**2 - 24*j.
-3*j*(j + 2)*(3*j - 2)**2
What is c in 2*c**3/5 + 12*c**2/5 + 2*c = 0?
-5, -1, 0
Find r, given that 9*r**5 - 627*r**4 + 2166*r**3 + 792*r**2 = 0.
-1/3, 0, 4, 66
Solve o**2/2 + 161*o + 25921/2 = 0.
-161
Factor 51*o**3 - 552*o**2 - 1383*o - 780.
3*(o - 13)*(o + 1)*(17*o + 20)
Factor -2*q**3/15 + 2*q**2/5 - 4*q/15.
-2*q*(q - 2)*(q - 1)/15
What is y in -2*y**2/3 + 142*y/3 - 92 = 0?
2, 69
Factor 2*o**2 + 96*o.
2*o*(o + 48)
Factor -3*f**3 + 27*f**2 - 45*f - 75.
-3*(f - 5)**2*(f + 1)
Solve 3*r**5/2 + 78*r**4 + 930*r**3 - 2265*r**2 - 1863*r/2 + 2187 = 0.
-27, -1, 1, 2
Suppose 28*r**4/3 + 88*r**3/3 + 92*r**2/3 + 32*r/3 = 0. Calculate r.
-8/7, -1, 0
Solve t**4/5 + 11*t**3/5 - 13*t**2/5 - 11*t/5 + 12/5 = 0 for t.
-12, -1, 1
Factor 2*d**2/3 + 602*d/3 + 200.
2*(d + 1)*(d + 300)/3
Solve y**4 - y**3 - 4*y**2 + 4*y = 0.
-2, 0, 1, 2
Determine u so that -2*u**2 - 358*u + 360 = 0.
-180, 1
Factor d**3/2 - 17*d**2/2 - 37*d/2 - 19/2.
(d - 19)*(d + 1)**2/2
Find a such that -2*a**2/3 - 5*a/3 - 2/3 = 0.
-2, -1/2
Find n such that 5*n**2 + 2265*n - 4550 = 0.
-455, 2
Let -5*s**5 - 105*s**4 - 215*s**3 + 3705*s**2 - 3380*s = 0. Calculate s.
-13, 0, 1, 4
Factor -4*t**2 + 40*t + 44.
-4*(t - 11)*(t + 1)
Factor 2*r**4 + 14*r**3 - 114*r**2 - 910*r - 784.
2*(r - 8)*(r + 1)*(r + 7)**2
Factor 4*l**2/3 + 76*l + 224/3.
4*(l + 1)*(l + 56)/3
What is q in q**3 - 101*q**2/5 - 17*q + 21/5 = 0?
-1, 1/5, 21
Find f, given that f**5/3 + 23*f**4/3 - 25*f**3 + 77*f**2/3 - 26*f/3 = 0.
-26, 0, 1
Factor -4*t**2/7 - 376*t/7 - 8836/7.
-4*(t + 47)**2/7
Factor -5618*o**3/5 - 22684*o**2/5 - 170*o - 8/5.
-2*(o + 4)*(53*o + 1)**2/5
Solve -24*s**2/19 + 22*s/19 + 2/19 = 0.
-1/12, 1
Factor -h**3/3 + 3*h**2 - 8*h + 20/3.
-(h - 5)*(h - 2)**2/3
Determine j, given that -3*j**2/4 - 819*j/4 - 813/2 = 0.
-271, -2
Find n such that -4*n**2 - 80552*n - 405539044 = 0.
-10069
Find r such that r**4 + 12*r**3 - 86*r**2 - 12*r + 85 = 0.
-17, -1, 1, 5
Determine s so that 5*s**5 - 450*s**4 + 13480*s**3 - 133200*s**2 - 54000*s + 540000 = 0.
-2, 2, 30
Solve 1454*b**3/9 - 968*b**2/3 + 482*b/3 + 4/9 = 0.
-2/727, 1
Factor 3*k**4/4 + 405*k**3/4 + 18225*k**2/4 + 273375*k/4.
3*k*(k + 45)**3/4
Solve j**4/6 - 4*j**3/3 - j**2/6 + 4*j/3 = 0 for j.
-1, 0, 1, 8
What is x in -5*x**2 + 6*x - 1 = 0?
1/5, 1
Factor -v**2/6 - 67*v/3 - 4489/6.
-(v + 67)**2/6
Let -96*a**5/7 - 272*a**4/7 + 410*a**3/7 - 148*a**2/7 + 16*a/7 = 0. Calculate a.
-4, 0, 1/4, 2/3
Factor 2*h**4/3 + 8*h**3 + 10*h**2/3 - 44*h.
2*h*(h - 2)*(h + 3)*(h + 11)/3
Find x such that -5*x**5 + 150*x**4 - 1370*x**3 + 3480*x**2 - 65*x - 5070 = 0.
-1, 2, 3, 13
Factor -2*u**4 - 4*u**3 + 78*u**2 - 144*u.
-2*u*(u - 3)**2*(u + 8)
Find o, given that 5*o**5 + 100*o**4 + 765*o**3 + 2790*o**2 + 4860*o + 3240 = 0.
-6, -3, -2
Factor -4*i**2 + 120*i + 1600.
-4*(i - 40)*(i + 10)
Determine z so that -2*z**3/7 - 34*z**2/7 - 160*z/7 - 128/7 = 0.
-8, -1
Factor -4*v**2 - 5328*v - 1774224.
-4*(v + 666)**2
Factor 604*j**2 + 3026*j + 30.
2*(j + 5)*(302*j + 3)
Suppose -2*v**3 + 44*v**2 + 494*v - 11552 = 0. What is v?
-16, 19
Determine v so that -16*v**5 + 100*v**4 - 168*v**3 + 100*v**2 - 16*v = 0.
0, 1/4, 1, 4
Solve -2*p**2/3 + 26*p/3 - 20 = 0.
3, 10
Factor 5*m**2 + 220*m + 2015.
5*(m + 13)*(m + 31)
Suppose n**4/4 + n**3/4 - 19*n**2/4 - 49*n/4 - 15/2 = 0. Calculate n.
-3, -2, -1, 5
Factor h**3 - 17*h**2 - 18*h.
h*(h - 18)*(h + 1)
Factor 3*x**5/7 + 6*x**4/7 + 3*x**3/7.
3*x**3*(x + 1)**2/7
Find v, given that -v**3/2 - 402*v**2 - 107736*v - 9624416 = 0.
-268
Factor 52*s**4 + 56*s**3 - 96*s**2.
4*s**2*(s + 2)*(13*s - 12)
Find y, given that -3*y**5 - 18*y**4 - 39*y**3 - 36*y**2 - 12*y = 0.
-2, -1, 0
Solve -4*b**3/9 - 4*b**2/3 + 160*b/9 = 0.
-8, 0, 5
Let -2*p**3/7 - 4*p**2 - 18*p - 180/7 = 0. Calculate p.
-6, -5, -3
Find h, given that -h**3/5 + 87*h**2/5 + 54*h = 0.
-3, 0, 90
Solve 5*v**2 + 4270*v + 911645 = 0.
-427
Let 5*m**4 + 190*m**3 - 815*m**2 + 1040*m - 420 = 0. What is m?
-42, 1, 2
Suppose a**4/2 + 4*a**3 + 19*a**2/2 + 6*a = 0. What is a?
-4, -3, -1, 0
Determine i, given that 2*i**3/7 - 118*i**2/7 + 64*i - 440/7 = 0.
2, 55
Solve o**5/2 + 5*o**4/2 - 21*o**3/2 + 23*o**2/2 - 4*o = 0.
-8, 0, 1
Determine i, given that 2*i**5/5 + 38*i**4/5 - 64*i**3/5 - 2216*i**2/5 + 8512*i/5 - 6272/5 = 0.
-14, 1, 4
Factor s**5/3 + 2*s**4/3 - 2*s**3 - 20*s**2/3 - 19*s/3 - 2.
(s - 3)*(s + 1)**3*(s + 2)/3
Determine f, given that -6*f**5 + 2*f**4 + 18*f**3 + 6*f**2 - 4*f = 0.
-1, 0, 1/3, 2
Determine v, given that -v**4/10 + 51*v**3/5 + 63*v**2/2 = 0.
-3, 0, 105
What is m in 18*m**5/17 + 4*m**4/17 - 18*m**3/17 - 4*m**2/17 = 0?
-1, -2/9, 0, 1
Factor -7*b**4/6 - 58*b**3/3 + 17*b**2/2.
-b**2*(b + 17)*(7*b - 3)/6
Factor 3*y**3 - 13*y**2 + 4*y.
y*(y - 4)*(3*y - 1)
What is k in -15*k**3/7 + 291*k**2/7 + 495*k/7 + 27 = 0?
-1, -3/5, 21
Determine z so that -z**3/8 - 4*z**2 - 61*z/8 - 15/4 = 0.
-30, -1
Suppose -25*i**5 + 3265*i**4 - 146740*i**3 + 2454480*i**2 - 8255520*i - 3704400 = 0. Calculate i.
-2/5, 5, 42
Factor -289*t**3/4 - 17*t**2/4 + 225*t/4 + 81/4.
-(t - 1)*(17*t + 9)**2/4
Find i such that 2*i**2/9 + 92*i/3 + 90 = 0.
-135, -3
Determine c so that -5*c**3 + 195*c**2 + 1305*c + 2025 = 0.
-3, 45
Suppose -2*h**5/9 - 16*h**4/9 + 46*h**3/9 + 404*h**2/9 + 208*h/9 - 640/9 = 0. Calculate h.
-8, -4, -2, 1, 5
Let -2*m**2 - 294*m = 0. What is m?
-147, 0
What is b in -b**3 + 395*b**2 - 38808*b - 39204 = 0?
-1, 198
Factor -2*w**3 + 34*w**2 - 160*w + 200.
-2*(w - 10)*(w - 5)*(w - 2)
Factor v**4/5 + 2*v**3 + 29*v**2/5 + 32*v/5 + 12/5.
(v + 1)**2*(v + 2)*(v + 6)/5
Factor 5*q**3 + 365*q**2 - 20*q - 1460.
5*(q - 2)*(q + 2)*(q + 73)
Factor -3*j**2 - 1080*j - 97200.
-3*(j + 180)**2
Solve 4*h**4/5 - 12*h**3 + 176*h**2/5 = 0.
0, 4, 11
Solve -2*a**4 - 316*a**3/5 - 2432*a**2/5 + 1024*a/5 = 0 for a.
-16, 0, 2/5
Factor -2*t**5 - 134*t**4 - 2310*t**3 - 2178*t**2.
-2*t**2*(t + 1)*(t + 33)**2
What is w in 2*w**4 + 274*w**3 + 1072*w**2 + 1064*w = 0?
-133, -2, 0
Find x such that 2*x**3 - 26*x**2 + 38*x + 66 = 0.
-1, 3, 11
Factor 15*g**2 - 815*g - 550.
5*(g - 55)*(3*g + 2)
Factor 4*b**2 - 36*b + 32.
4*(b - 8)*(b - 1)
Solve 5*d**5 - 60*d**4 - 335*d**3 + 2690*d**2 + 15840*d + 19360 = 0.
-4, -2, 11
Determine b, given that 2*b**5/13 + 18*b**4/13 - 194*b**3/13 + 454*b**2/13 - 408*b/13 + 128/13 = 0.
-16, 1, 4
Suppose 36*u**3 + 3552*u**2 - 4784*u + 1600 = 0. Calculate u.
-100, 2/3
Factor 14*n**3/5 + 66*n**2/5 + 64*n/5 - 24/5.
2*(n + 2)*(n + 3)*(7*n - 2)/5
Factor d**3 - 3*d**2 - 34*d - 48.
(d - 8)*(d + 2)*(d + 3)
Find g, given that -g**3/2 - 17*g**2/2 - 36*g = 0.
-9, -8, 0
Solve g**3 - 61*g**2 + 1015*g - 2523 = 0.
3, 29
Find u, given that u**5/4 + 123*u**4/2 + 20171*u**3/4 + 275561*u**2/2 - 5043*u - 137842 = 0.
-82, -1, 1
What is s in s**5/4 - 7*s**4 + 241*s**3/4 - 215*s**2/2 - 425*s - 2