
Factor -8*r**3 + 164*r**2 + 84*r.
-4*r*(r - 21)*(2*r + 1)
What is v in 3*v**4/4 - 15*v**3/4 + 15*v**2/4 + 15*v/4 - 9/2 = 0?
-1, 1, 2, 3
Factor -88*d**3/17 - 922*d**2/17 + 236*d/17.
-2*d*(4*d - 1)*(11*d + 118)/17
Factor 4*b**3 - 84*b**2 + 588*b - 1372.
4*(b - 7)**3
Factor -m**2 + 201*m - 200.
-(m - 200)*(m - 1)
Solve 4*a**3 + 592*a**2 + 21300*a - 45000 = 0 for a.
-75, 2
Let h**2 - 36*h + 35 = 0. Calculate h.
1, 35
Suppose -4*h**5 + 140*h**4 + 632*h**3 - 264*h**2 - 1908*h + 1404 = 0. Calculate h.
-3, 1, 39
What is n in -4*n**2 + 8*n + 96 = 0?
-4, 6
Solve 2*s**3/13 - 258*s**2/13 + 630*s + 650 = 0.
-1, 65
Solve -q**2/4 - 41*q/4 + 21/2 = 0.
-42, 1
Find a such that -3*a**2 + 105*a - 102 = 0.
1, 34
Suppose 2*q**5/7 - 8*q**4/7 - 22*q**3/7 - 12*q**2/7 = 0. What is q?
-1, 0, 6
Factor -p**4/3 - 2*p**3 + 143*p**2/3 - 88*p + 128/3.
-(p - 8)*(p - 1)**2*(p + 16)/3
Factor -o**4/3 + o**3 + 70*o**2/3.
-o**2*(o - 10)*(o + 7)/3
Find g, given that -12*g**4/5 - 16*g**3/5 + 196*g**2/5 - 24*g = 0.
-5, 0, 2/3, 3
Factor 4*l**3 + 6492*l**2 + 2630880*l - 2637376.
4*(l - 1)*(l + 812)**2
Suppose -2*x**3/5 + 74*x**2/5 = 0. What is x?
0, 37
Let -4*s**5 - 62*s**4 - 139*s**3 - 241*s**2/2 - 46*s - 13/2 = 0. What is s?
-13, -1, -1/2
Factor 3*g**5 + 18*g**4 - 12*g**3 - 102*g**2 + 153*g - 60.
3*(g - 1)**3*(g + 4)*(g + 5)
Determine p, given that 8*p**5 - 34*p**4 + 12*p**3 + 86*p**2 - 40*p - 72 = 0.
-1, 2, 9/4
Determine w, given that -w**4/5 - 2*w**3 - 13*w**2/5 + 12*w - 36/5 = 0.
-6, 1
What is w in w**4 + 2*w**3 = 0?
-2, 0
Find r such that -3*r**2/2 + 3/2 = 0.
-1, 1
Factor u**2 - 264*u + 263.
(u - 263)*(u - 1)
What is c in -2*c**5 + 14*c**4 + 38*c**3 - 14*c**2 - 36*c = 0?
-2, -1, 0, 1, 9
Factor 3*f**2/8 - 102*f.
3*f*(f - 272)/8
Factor 3*f**2/7 - 411*f/7 + 408/7.
3*(f - 136)*(f - 1)/7
What is m in -m**5 + 9*m**4 - 20*m**3 + 12*m**2 = 0?
0, 1, 2, 6
Solve 3*m**4 + 18*m**3 - 105*m**2 + 144*m - 60 = 0 for m.
-10, 1, 2
Factor -288*s**3 + 44208*s**2 - 2261976*s + 115737772/3.
-4*(6*s - 307)**3/3
Let 2*y**2 - 10*y + 8 = 0. What is y?
1, 4
Find h such that -448*h**5 - 800*h**4 - 444*h**3 - 72*h**2 = 0.
-3/4, -2/7, 0
Factor -2*b**4 - 580*b**3 - 41466*b**2 + 84680*b - 42632.
-2*(b - 1)**2*(b + 146)**2
Factor 2*b**2/7 - 5000*b/7 + 3125000/7.
2*(b - 1250)**2/7
Factor 3*g**2 - 18*g - 120.
3*(g - 10)*(g + 4)
Solve -9*u**3/7 + 51*u**2/7 + 65*u/7 - 507/7 = 0.
-3, 13/3
Factor -2*o**3/5 + 416*o**2/5.
-2*o**2*(o - 208)/5
Factor -r**3/4 - r**2/4 + 5*r/2 - 2.
-(r - 2)*(r - 1)*(r + 4)/4
Factor -242*x**3 - 1672*x**2 + 2040*x - 576.
-2*(x + 8)*(11*x - 6)**2
Solve -i**5 - 19*i**4 - 130*i**3 - 350*i**2 - 125*i + 625 = 0.
-5, 1
Determine g so that 5*g**4 - 10*g**3 - 15*g**2 + 40*g - 20 = 0.
-2, 1, 2
Solve 2*s**2/9 - 38*s + 340/9 = 0 for s.
1, 170
Suppose 3*h**4/4 + 97*h**3/4 + 1023*h**2/4 + 3267*h/4 - 1331/2 = 0. Calculate h.
-11, 2/3
Suppose j**4/3 - 7*j**3/3 - 17*j**2/3 - 3*j = 0. Calculate j.
-1, 0, 9
Determine y so that 3*y**4 + 36*y**3 + 111*y**2 + 126*y + 48 = 0.
-8, -2, -1
Factor 14*b**4 - 24*b**3 - 8*b**2.
2*b**2*(b - 2)*(7*b + 2)
Determine o so that 3*o**3 - 12*o**2 - 96*o = 0.
-4, 0, 8
Factor 2*l**2/3 - 74*l/3 - 76/3.
2*(l - 38)*(l + 1)/3
Factor w**4/5 + 3*w**3 + 13*w**2/5 - 3*w - 14/5.
(w - 1)*(w + 1)**2*(w + 14)/5
Determine a, given that -a**3 = 0.
0
Factor -c**5 - 130*c**4 - 4353*c**3 - 8320*c**2 - 4096*c.
-c*(c + 1)**2*(c + 64)**2
Suppose -c**2/2 - 49*c/2 + 25 = 0. Calculate c.
-50, 1
Determine b so that 2*b**5 + 12*b**4 + 22*b**3 + 12*b**2 = 0.
-3, -2, -1, 0
Determine h so that -2*h**5/7 + 10*h**4/7 + 186*h**3/7 - 594*h**2/7 = 0.
-9, 0, 3, 11
Factor n**3/7 + 380*n**2/7 + 5211*n + 10206.
(n + 2)*(n + 189)**2/7
Let 2*f**2/3 + 862*f/5 - 1036/15 = 0. What is f?
-259, 2/5
Factor h**5 - 42*h**4 + 156*h**3 - 152*h**2.
h**2*(h - 38)*(h - 2)**2
Factor -4*p**4 - 16*p**3 + 8*p**2 + 48*p - 36.
-4*(p - 1)**2*(p + 3)**2
Suppose 17689*r**2 + 133*r + 1/4 = 0. What is r?
-1/266
Let u**4 + 2777*u**3 + 1929318*u**2 + 1920992*u - 3853088 = 0. What is u?
-1388, -2, 1
Determine k so that -4*k**3 + 116*k**2 + 5044*k + 37180 = 0.
-13, 55
Let -2*n**4/9 - 14*n**3/3 + 376*n**2/9 - 160*n/3 - 896/9 = 0. Calculate n.
-28, -1, 4
Find w such that 4*w**3 + 16*w**2 - 84*w = 0.
-7, 0, 3
Factor 4*k**3 + 432*k**2 + 1676*k + 1248.
4*(k + 1)*(k + 3)*(k + 104)
Factor 3*n**4 + 60*n**3 - 468*n**2 + 96*n + 2496.
3*(n - 4)**2*(n + 2)*(n + 26)
Factor 2*x**3/17 - 28*x**2/17 + 66*x/17.
2*x*(x - 11)*(x - 3)/17
Let -a**3/2 - 57*a**2/2 - 28*a = 0. What is a?
-56, -1, 0
Factor 35*l**5/3 + 200*l**4/3 + 85*l**3 - 30*l**2.
5*l**2*(l + 3)**2*(7*l - 2)/3
Find w, given that w**3 + 141*w**2 + 1080*w + 2128 = 0.
-133, -4
Factor 2*q**4/3 + 2*q**3 + 2*q**2 + 2*q/3.
2*q*(q + 1)**3/3
Find x, given that 5*x**5/2 - 15*x**4/2 + 15*x**3/2 - 5*x**2/2 = 0.
0, 1
Find x, given that 2*x**4/7 + 2*x**3/7 - 10*x**2/7 + 6*x/7 = 0.
-3, 0, 1
Factor 3*h**3 - 21*h**2 - 258*h - 504.
3*(h - 14)*(h + 3)*(h + 4)
Determine n, given that 2*n**4 - 3880*n**3 + 1885676*n**2 - 3759720*n + 1877922 = 0.
1, 969
Factor 4*f**4 - 592*f**3 + 12672*f**2 - 97280*f + 253952.
4*(f - 124)*(f - 8)**3
Determine v, given that -2*v**4 - 48*v**3 - 330*v**2 - 524*v - 240 = 0.
-12, -10, -1
Let -p**2/4 - 629*p/4 + 315/2 = 0. Calculate p.
-630, 1
Factor 3*s**4 - 1239*s**3 + 129771*s**2 - 380685*s + 252150.
3*(s - 205)**2*(s - 2)*(s - 1)
Factor v**3/5 + v**2/5 - 2*v + 8/5.
(v - 2)*(v - 1)*(v + 4)/5
Suppose -57*i**4/4 - 849*i**3/4 + 501*i**2/2 - 24*i = 0. Calculate i.
-16, 0, 2/19, 1
Factor -5*s**2 + 115*s - 450.
-5*(s - 18)*(s - 5)
Find z, given that -8*z**3 - 60*z**2 - 28*z = 0.
-7, -1/2, 0
Factor 4*w**3 + 48*w**2 + 140*w + 96.
4*(w + 1)*(w + 3)*(w + 8)
Let 4*f**4 + 12*f**3 - 72*f**2 - 128*f + 384 = 0. Calculate f.
-4, 2, 3
Suppose 3*l**2/7 - 30*l/7 + 27/7 = 0. Calculate l.
1, 9
Find a, given that 4*a**2 - 16*a - 20 = 0.
-1, 5
Factor -x**2 - 7*x - 10.
-(x + 2)*(x + 5)
Solve -g**3 + 1218*g**2 - 494508*g + 66923416 = 0 for g.
406
Factor -4*w**5/9 + 8*w**4/9 - 8*w**2/9 + 4*w/9.
-4*w*(w - 1)**3*(w + 1)/9
Suppose -26*k**2/3 + 28*k/3 + 16 = 0. Calculate k.
-12/13, 2
Suppose w**4 - 34*w**3 + 96*w**2 - 94*w + 31 = 0. What is w?
1, 31
Factor 3*q**3/7 - 15*q**2/7 - 459*q/7 + 3159/7.
3*(q - 9)**2*(q + 13)/7
Suppose i**5/6 - 8*i**4/3 + 7*i**3 - 20*i**2/3 + 13*i/6 = 0. What is i?
0, 1, 13
Factor -2*x**2/13 - 4*x/13 + 126/13.
-2*(x - 7)*(x + 9)/13
Suppose 2*w**2/3 - 32*w = 0. Calculate w.
0, 48
Solve 2*j**2 - 196*j + 1274 = 0.
7, 91
Solve -c**4/2 - 45*c**3 + 373*c**2/2 - 141*c = 0 for c.
-94, 0, 1, 3
What is m in 5*m**4/3 + 115*m**3/3 + 320*m**2 + 1140*m + 1440 = 0?
-8, -6, -3
Find q, given that -12*q**5 - 236*q**4 + 380*q**3 + 860*q**2 - 1328*q + 336 = 0.
-21, -2, 1/3, 1, 2
Suppose -11*d**5 - 161*d**4 - 754*d**3 - 1156*d**2 - 264*d + 288 = 0. Calculate d.
-6, -2, -1, 4/11
Suppose 2*t**2/3 - 24*t + 310/3 = 0. Calculate t.
5, 31
Solve -3*h**4 + 15*h**3 + 3*h**2 - 15*h = 0 for h.
-1, 0, 1, 5
Factor 5*y**2/3 + 510*y + 39015.
5*(y + 153)**2/3
Find m, given that 2*m**2/9 - 206*m/9 + 68/3 = 0.
1, 102
Determine b so that -21*b**3/2 + 291*b**2 + 84*b = 0.
-2/7, 0, 28
Factor -4*l**2 + 4*l.
-4*l*(l - 1)
Factor -12*z**3 + 40*z**2 + 84*z - 288.
-4*(z - 3)**2*(3*z + 8)
Factor 111*q**3 + 648*q**2 + 891*q - 162.
3*(q + 3)**2*(37*q - 6)
Factor -2*u**3/9 - 134*u**2/9 - 2432*u/9 - 2048/3.
-2*(u + 3)*(u + 32)**2/9
Suppose -t**2/9 - 4*t/3 = 0. Calculate t.
-12, 0
Determine o so that -4*o**3/5 + 1732*o**2/5 - 188352*o/5 + 186624/5 = 0.
1, 216
Factor -3*s**2/4 + 1065*s/2 - 2127/4.
-3*(s - 709)*(s - 1)/4
Determine r, given that 2*r**2/9 - 134*r/9 + 44/3 = 0.
1, 66
Solve 4*l**5 - 11*l**4/3 - 143*l**3/6 + 13*l**2 + 94*l/3 + 20/3 = 0.
-2, -5/6, -1/4, 2
Let -3*c**3 - 9*c**2/4 + 27*c/4 - 3/2 = 0. What is c?
-2, 1/4, 1
Solve -2*h**4/3 + 8*h**3/3 - 4*h**2 + 8*h/3 - 2/3 = 0.
1
Determine w so that -5*w**4 + 45*w**3 - 75*w**2 - 125*w = 0.
-1, 0, 5
Solve 2*d**3 + 6402*d**2 + 6830934*d + 2429535526 = 0 for d.
-1067
Determine a, given that 4*a**5 + 24*a**4 - 16*a**3 - 136*a**2 + 204*a - 80 = 0.
-5, -4, 1
Find s such that 2*s**3 + 13662*s**2 + 31108374*s + 23611255866 = 0.
-2277
What is h in 5*h**5/2 + 3*h**4/2 - 25*h**3/2 - 15*h**2/2 + 10*h + 6 = 0?
-2, -1, -3/5, 1, 2
Factor 3*i**4 + 42*i**3 - 147*i**2 + 102*i.
3*i*(i - 2)*(i - 1)*(i + 17)
Factor