a**2 + 720*a = 0.
-30, -1, 0, 1
Factor -5*d**3 - 30*d**2 - 55*d - 30.
-5*(d + 1)*(d + 2)*(d + 3)
Find x such that -2*x**3 + 18*x**2 + 528*x + 968 = 0.
-11, -2, 22
Let b**2/4 - 112*b + 12544 = 0. What is b?
224
Determine b so that -3*b**2 - 162*b - 2187 = 0.
-27
Factor 2*c**2 - 34*c + 32.
2*(c - 16)*(c - 1)
Let 81*m**2/4 + 3*m/4 - 21 = 0. Calculate m.
-28/27, 1
Find w, given that -65*w**4/4 + 47*w**3/2 + 3*w**2/4 - 7*w - 1 = 0.
-2/5, -2/13, 1
Factor 5*c**3 - 2430*c**2 + 393660*c - 21257640.
5*(c - 162)**3
Factor -5*v**4 + 90*v**3 + 5*v**2 - 90*v.
-5*v*(v - 18)*(v - 1)*(v + 1)
Factor k**2/4 + 13*k/4.
k*(k + 13)/4
Let -2*h**3/7 - 1938*h**2 - 27126*h/7 - 13562/7 = 0. What is h?
-6781, -1
Factor s**2/6 - 28*s/3 + 205/2.
(s - 41)*(s - 15)/6
What is y in y**3 + 60*y**2 + 173*y + 114 = 0?
-57, -2, -1
Find c such that 43*c**2 - 131*c + 6 = 0.
2/43, 3
Factor k**4 + 9*k**3 + 27*k**2 + 27*k.
k*(k + 3)**3
Factor 3*d**2 + 99*d + 96.
3*(d + 1)*(d + 32)
Let -2*h**3/3 + 40*h**2/3 - 38*h/3 = 0. Calculate h.
0, 1, 19
Factor -3*b**2/8 - 147*b/8 + 4773/4.
-3*(b - 37)*(b + 86)/8
Factor -3*g**2/4 + 159*g + 639/4.
-3*(g - 213)*(g + 1)/4
Determine h, given that -28*h**5 - 27*h**4 + 31*h**3 + 29*h**2 - 3*h - 2 = 0.
-1, -1/4, 2/7, 1
Factor 54*i**3/13 - 652*i**2/13 + 1992*i/13 - 144/13.
2*(i - 6)**2*(27*i - 2)/13
Factor -2*p**3/3 + 16*p**2 + 158*p/3 + 36.
-2*(p - 27)*(p + 1)*(p + 2)/3
Factor 380208*f**2 - 712*f + 1/3.
(1068*f - 1)**2/3
Factor t**2/4 - 5*t/4 - 7/2.
(t - 7)*(t + 2)/4
Solve -r**3 + 7*r**2/2 - 7*r/2 + 1 = 0 for r.
1/2, 1, 2
Determine r so that r**5/2 - 20*r**4/3 - 295*r**3/6 - 260*r**2/3 - 38*r = 0.
-3, -2, -2/3, 0, 19
Factor -u**4 + 300*u**3 - 33750*u**2 + 1687500*u - 31640625.
-(u - 75)**4
Determine c, given that c**3 + 51*c**2 + 140*c - 192 = 0.
-48, -4, 1
Determine s, given that -2*s**5/3 - s**4 + 73*s**3 + 110*s**2/3 = 0.
-11, -1/2, 0, 10
Factor 2*g**3/5 - 54*g**2/5.
2*g**2*(g - 27)/5
Let -9*v**4 + 366*v**3 - 3837*v**2 + 2280*v + 1200 = 0. Calculate v.
-1/3, 1, 20
Let 5*z**2 - 40*z - 45 = 0. Calculate z.
-1, 9
Let -2*t**5/3 - 34*t**4 - 98*t**3/3 + 34*t**2 + 100*t/3 = 0. Calculate t.
-50, -1, 0, 1
Factor -5*v**3 - 110*v**2 - 480*v.
-5*v*(v + 6)*(v + 16)
Factor -2*o**2/3 - 916*o/3 - 104882/3.
-2*(o + 229)**2/3
Factor -4*j**4 + 136*j**3 - 1012*j**2 - 2448*j - 1296.
-4*(j - 18)**2*(j + 1)**2
Find g, given that 2*g**3/11 + 38*g**2/11 + 160*g/11 - 200/11 = 0.
-10, 1
Factor -5*g**4 - 20*g**3 - 5*g**2 + 30*g.
-5*g*(g - 1)*(g + 2)*(g + 3)
Find w, given that -12*w**5 - 28*w**4 + 36*w**3 + 28*w**2 - 24*w = 0.
-3, -1, 0, 2/3, 1
Factor b**5/3 + 14*b**4/3 + 13*b**3/3 - 84*b**2 + 108*b.
b*(b - 2)**2*(b + 9)**2/3
Let -27*t**5 - 279*t**4 - 1065*t**3 - 1809*t**2 - 1296*t - 324 = 0. Calculate t.
-3, -2/3
Factor -10*f**2 + 8*f + 2.
-2*(f - 1)*(5*f + 1)
Factor 4*k**4 - 22*k**3 + 6*k**2 + 72*k.
2*k*(k - 4)*(k - 3)*(2*k + 3)
Determine g so that -2*g**3 - 62*g**2 - 374*g + 1734 = 0.
-17, 3
Factor 2*w**2 - 98.
2*(w - 7)*(w + 7)
Find y, given that 2*y**2/3 + 12520*y/3 + 19593800/3 = 0.
-3130
Factor -5*r**2 - 116*r + 96.
-(r + 24)*(5*r - 4)
Determine t so that 3*t**5 - 27*t**4 - 6*t**3 + 54*t**2 + 3*t - 27 = 0.
-1, 1, 9
Factor 2*d**2/5 - 10*d + 48/5.
2*(d - 24)*(d - 1)/5
Factor -3*d**2/5 + 87*d/5.
-3*d*(d - 29)/5
Factor k**5/3 + k**4/3 - 5*k**3/3 + k**2.
k**2*(k - 1)**2*(k + 3)/3
Determine y, given that -12*y**4/5 + 28*y**3/5 + 72*y**2/5 + 32*y/5 = 0.
-1, -2/3, 0, 4
Determine o so that -o**4/4 - o**3/2 + o**2/4 + o/2 = 0.
-2, -1, 0, 1
Let -f**4/4 - 11*f**3/2 - 35*f**2/4 + 53*f/2 + 30 = 0. What is f?
-20, -3, -1, 2
Solve a**5/4 + a**4/4 - 21*a**3/2 = 0.
-7, 0, 6
Factor -5*a**2/2 - 335*a/2 + 170.
-5*(a - 1)*(a + 68)/2
Factor 2*l**3/5 - 6*l**2 + 88*l/5.
2*l*(l - 11)*(l - 4)/5
Factor -4*n**3 - 40*n**2 - 68*n - 32.
-4*(n + 1)**2*(n + 8)
Find f such that 6*f**3 - 505*f**2/6 + 241*f/3 - 13/6 = 0.
1/36, 1, 13
Factor -d**2/7 + 19*d/7 - 18/7.
-(d - 18)*(d - 1)/7
Let 98*r**5/5 - 1148*r**4 + 8646*r**3/5 + 7628*r**2/5 - 5944*r/5 + 912/5 = 0. What is r?
-1, 2/7, 2, 57
Solve 34445*t**3 - 71380*t**2 + 5025*t - 90 = 0.
3/83, 2
Factor 3*s**2 - 4638*s + 1792587.
3*(s - 773)**2
Let 3*w**3 + 9*w**2 - 18*w - 24 = 0. Calculate w.
-4, -1, 2
Let 85*y**2 - 173*y/2 + 3/2 = 0. Calculate y.
3/170, 1
Factor a**2/4 + 29*a/4 + 27/2.
(a + 2)*(a + 27)/4
Factor 3*o**3 - 225*o**2 + 2700*o.
3*o*(o - 60)*(o - 15)
Solve -3*k**2 + 153*k + 1416 = 0 for k.
-8, 59
Factor 5*p**2 + 180*p + 1620.
5*(p + 18)**2
Factor 4*t**3 - 24*t**2 - 60*t + 400.
4*(t - 5)**2*(t + 4)
Factor 24*i**3 - i**2.
i**2*(24*i - 1)
Factor -v**3/4 + 6*v**2 - 189*v/4 + 243/2.
-(v - 9)**2*(v - 6)/4
Suppose q**4/6 + q**3/2 - 8*q**2/3 - 8*q = 0. Calculate q.
-4, -3, 0, 4
Factor 2*i**2/5 - 24852*i/5 + 77202738/5.
2*(i - 6213)**2/5
Find z, given that 98*z**3/15 + 742*z**2/15 + 80*z/3 + 56/15 = 0.
-7, -2/7
Suppose -2*y**4 + 64*y**3 + 66*y**2 = 0. What is y?
-1, 0, 33
Suppose -3*u**5 - 3*u**4 + 15*u**3 - 9*u**2 = 0. Calculate u.
-3, 0, 1
Determine n, given that 2*n**5/9 - 40*n**4/9 + 236*n**3/9 - 40*n**2 + 18*n = 0.
0, 1, 9
Factor k**4/7 - 4*k**3/7 - 122*k**2/7 + 36*k + 567.
(k - 9)**2*(k + 7)**2/7
Factor -2*q**2/5 + 56*q/5 - 392/5.
-2*(q - 14)**2/5
Factor b**2 - 318*b + 25281.
(b - 159)**2
Suppose -3*q**5 + 3*q**4 + 87*q**3 - 87*q**2 - 408*q - 240 = 0. Calculate q.
-5, -1, 4
Solve -25*j**5 - 220*j**4 + 61*j**3 + 148*j**2 + 36*j = 0.
-9, -2/5, 0, 1
Factor -3*c**2/8 - 10*c + 27/8.
-(c + 27)*(3*c - 1)/8
Factor -5*c**4 - 55*c**3 + 20*c**2 + 220*c.
-5*c*(c - 2)*(c + 2)*(c + 11)
Factor -2*b**3 + 500*b**2 + 1008*b.
-2*b*(b - 252)*(b + 2)
Factor -5*l**2 - 135*l - 460.
-5*(l + 4)*(l + 23)
Determine c, given that -c**2/2 + 27*c/2 + 14 = 0.
-1, 28
Factor 3*b**3 - 303*b**2 - 312*b + 612.
3*(b - 102)*(b - 1)*(b + 2)
Factor 7*a**3/6 - 557*a**2/6 + 5480*a/3 + 800.
(a - 40)**2*(7*a + 3)/6
Factor h**3 - 91*h**2 + 178*h.
h*(h - 89)*(h - 2)
Suppose c**4/2 - 86*c**3 + 3866*c**2 - 14448*c + 14112 = 0. What is c?
2, 84
Factor h**2/6 - 58*h/3 + 1682/3.
(h - 58)**2/6
Factor 2*i**4 - 24*i**3 - 84*i**2 - 88*i - 30.
2*(i - 15)*(i + 1)**3
Factor -2*n**2/7 + 4*n/7 + 286/7.
-2*(n - 13)*(n + 11)/7
Factor -10*f**5/9 - 4*f**4 + 16*f**3/9.
-2*f**3*(f + 4)*(5*f - 2)/9
What is p in -p**3/3 + 8*p**2 - 39*p - 338/3 = 0?
-2, 13
Factor 2*r**2/7 - 886*r/7 + 252.
2*(r - 441)*(r - 2)/7
Suppose -3*o**5 + 51*o**4 + 387*o**3 + 621*o**2 = 0. Calculate o.
-3, 0, 23
Factor 5*g**4 + 5*g**3 - 5*g**2 - 5*g.
5*g*(g - 1)*(g + 1)**2
Solve 500*c**5/11 + 2825*c**4/11 - 1065*c**3/11 - 79*c**2/11 + 65*c/11 - 6/11 = 0.
-6, -1/4, 1/5
Solve -605*t**5 - 11110*t**4 - 69320*t**3 - 154800*t**2 - 49680*t - 4320 = 0.
-6, -2/11
Factor 9*d**4/4 + 33*d**3/2 + 157*d**2/4 + 33*d + 9.
(d + 3)**2*(3*d + 2)**2/4
Factor 2*l**3/5 + 1588*l**2/5 + 6328*l/5 + 1264.
2*(l + 2)**2*(l + 790)/5
Suppose 2*n**5/5 - 116*n**4/5 + 108*n**3/5 + 352*n**2/5 - 574*n/5 + 228/5 = 0. What is n?
-2, 1, 57
Determine f so that -f**2 + 382*f - 760 = 0.
2, 380
What is v in 2*v**4 + 92*v**3 + 240*v**2 - 764*v + 430 = 0?
-43, -5, 1
Determine d, given that 3*d**3 - 6471*d**2 + 4652649*d - 1115084877 = 0.
719
Determine t so that 3*t**4 - 159*t**3 + 1470*t**2 + 17100*t + 27000 = 0.
-5, -2, 30
Determine p, given that -p**3 - 76*p**2 + 860*p = 0.
-86, 0, 10
Let u**4/3 - 20*u**3/3 + 7*u**2 + 806*u/3 + 1352/3 = 0. Calculate u.
-4, -2, 13
Factor -3*h**3/7 + 156*h**2/7 - 2028*h/7.
-3*h*(h - 26)**2/7
Let 2*c**2/15 - 8*c/5 - 72/5 = 0. Calculate c.
-6, 18
Find u, given that 3*u**4 + 66*u**3 + 276*u**2 + 366*u + 153 = 0.
-17, -3, -1
Factor 5*r**4 - 55*r**2 + 90*r - 40.
5*(r - 2)*(r - 1)**2*(r + 4)
Let -12*m**4 + 392*m**3 + 564*m**2 - 672*m - 272 = 0. Calculate m.
-2, -1/3, 1, 34
Factor 2*q**5 - 54*q**4 + 438*q**3 - 1010*q**2 + 912*q - 288.
2*(q - 12)**2*(q - 1)**3
Factor 5929741*t**4 + 196566*t**3 + 2172*t**2 + 8*t.
t*(181*t + 2)**3
Solve -2*y**4/9 + 10*y**3/9 + 302*y**2/9 - 10*y/9 - 100/3 = 0.
-10, -1, 1, 15
Factor 2*o**3 + 18*o**2 - 24*o - 40.
2*(o - 2)*(o + 1)*(o + 10)
Factor -m**2/4 - 4*m - 7.
-(m + 2)*(m + 14)/4
Factor p**4/8 + p**3/2 - 91*p**2/8 - 245*p/4.
p*(p - 10)*(p + 7)**2/8
Determine o so that -2*o**4/7 + 1028*o**3/7 - 133122*o**2/7 + 263168*o/7 - 131072/7 = 0.
1, 256
Factor 2*w**2 + 18*w - 140.
2*(w - 5)*(w + 14)
Factor -2*i**2 + 906*i - 6244.
-2*(i - 446)