f - 1293732 = 0.
-33, -9, -1
Factor x**2/5 - x/5 - 12/5.
(x - 4)*(x + 3)/5
Find i, given that 5*i**5 - 70*i**4 + 360*i**3 - 880*i**2 + 1040*i - 480 = 0.
2, 6
Factor 3*n**4 + 39*n**3 + 141*n**2 + 177*n + 72.
3*(n + 1)**2*(n + 3)*(n + 8)
Factor 290*z**2/9 + 32*z/3 - 8/9.
2*(5*z + 2)*(29*z - 2)/9
Let 2*t**3 - 34*t**2 + 120*t = 0. Calculate t.
0, 5, 12
Solve j**4/5 + 13*j**3/5 - 34*j**2/5 - 116*j + 120 = 0 for j.
-10, 1, 6
Solve 4*v**4/5 - 2*v**3 - 462*v**2/5 - 212*v - 416/5 = 0.
-8, -2, -1/2, 13
What is r in 2*r**2 - 3380*r + 6752 = 0?
2, 1688
Determine o, given that 3*o**4 - 7*o**3 - o**2 + 7*o - 2 = 0.
-1, 1/3, 1, 2
Suppose l**3 - 74*l**2 - 77*l + 150 = 0. What is l?
-2, 1, 75
Factor l**3/2 - 5*l**2 - 43*l/2 + 26.
(l - 13)*(l - 1)*(l + 4)/2
Factor -2*j**3/9 + 446*j**2/9 + 2*j/9 - 446/9.
-2*(j - 223)*(j - 1)*(j + 1)/9
Factor 4*z**2 - 26584*z + 44169316.
4*(z - 3323)**2
Determine f so that -f**5/2 - 11*f**4/2 + 5*f**3/2 + 487*f**2/2 + 1060*f + 1400 = 0.
-5, -4, 7
Suppose 2*c**4/7 + 2*c**3 + 8*c**2/7 - 24*c/7 = 0. What is c?
-6, -2, 0, 1
Factor 2*g**2/13 + 5576*g/13 + 3886472/13.
2*(g + 1394)**2/13
Factor 3*b**3/4 - 3*b**2/2 - 3*b/4 + 3/2.
3*(b - 2)*(b - 1)*(b + 1)/4
Factor 2*j**3/5 + 16*j**2/5 - 8*j/5 - 64/5.
2*(j - 2)*(j + 2)*(j + 8)/5
Factor 4*b**2/5 - 3208*b/5 - 3212/5.
4*(b - 803)*(b + 1)/5
Suppose 2*r**3 + 4*r**2 = 0. What is r?
-2, 0
Factor 2*v**3/13 + 610*v**2/13 + 2416*v/13 + 2408/13.
2*(v + 2)**2*(v + 301)/13
Factor -3*w**4 - 45*w**3 - 27*w**2 + 201*w - 126.
-3*(w - 1)**2*(w + 3)*(w + 14)
Factor -2*w**4/11 + 12*w**3/11 + 14*w**2/11.
-2*w**2*(w - 7)*(w + 1)/11
Factor -o**2 + 9.
-(o - 3)*(o + 3)
Factor -20*l**3/3 + 5*l**2/3 + 80*l/3 - 20/3.
-5*(l - 2)*(l + 2)*(4*l - 1)/3
Solve -6*x**4 + 68*x**3 - 82*x**2 + 20*x = 0.
0, 1/3, 1, 10
Solve -6*b**5/7 - 30*b**4/7 = 0 for b.
-5, 0
Factor -2*w**4/9 - 56*w**3/9 - 524*w**2/9 - 616*w/3 - 242.
-2*(w + 3)**2*(w + 11)**2/9
Determine d, given that 12*d**4 - 116*d**3 - 48*d**2 + 80*d = 0.
-1, 0, 2/3, 10
Factor -2*l**2/5 - 14*l + 72/5.
-2*(l - 1)*(l + 36)/5
Solve -6*o**2/5 + 84*o/5 + 18 = 0 for o.
-1, 15
Determine r so that 2*r**5 + 2*r**4 - 30*r**3 - 18*r**2 + 108*r = 0.
-3, 0, 2, 3
Find c, given that -2*c**5/7 + 24*c**4/7 + 152*c**3/7 - 1436*c**2/7 - 4950*c/7 - 484 = 0.
-7, -2, -1, 11
Determine u, given that 8*u**4 + 27*u**3 + 9*u**2 - 32*u - 12 = 0.
-2, -3/8, 1
Factor 2*q**5 - 250*q**4 + 10580*q**3 - 158260*q**2 + 285770*q - 137842.
2*(q - 41)**3*(q - 1)**2
Determine a, given that 6*a**4 + 237*a**3 + 558*a**2 + 105*a - 222 = 0.
-37, -2, -1, 1/2
Suppose 10*u**3/3 + 24*u**2 + 14*u/3 = 0. Calculate u.
-7, -1/5, 0
Solve -4*x**4 + 72*x**3 - 132*x**2 + 64*x = 0 for x.
0, 1, 16
Solve 72*n**4/13 - 264*n**3/13 - 238*n**2/13 + 1156*n/13 = 0 for n.
-2, 0, 17/6
Factor -2*v**3/11 - 1254*v**2 - 2882946*v - 2209297618.
-2*(v + 2299)**3/11
Determine v, given that -2*v**2/9 + 190*v/9 = 0.
0, 95
Solve j**3/2 - 53*j**2 = 0 for j.
0, 106
Let -2*t**3 - 42*t**2 + 92*t = 0. Calculate t.
-23, 0, 2
Factor 2*l**5 - 414*l**4 + 28564*l**3 - 656604*l**2 - 28566*l + 657018.
2*(l - 69)**3*(l - 1)*(l + 1)
Find z, given that 2*z**4/7 - 2*z**3 - 42*z**2 + 490*z - 1372 = 0.
-14, 7
Factor -4*m**2 - 80*m + 84.
-4*(m - 1)*(m + 21)
Determine c so that -2*c**2 - 2212*c - 2210 = 0.
-1105, -1
Find m, given that m**3 - 37*m**2 + 323*m + 361 = 0.
-1, 19
Factor 3*n**2 - 5094*n + 2162403.
3*(n - 849)**2
Find r such that -r**5/8 - 9*r**4/8 - r**3 = 0.
-8, -1, 0
Solve -d**2/4 + 293*d/2 - 85849/4 = 0.
293
What is u in 2*u**3/7 - 16*u**2/7 + 2*u = 0?
0, 1, 7
Factor -c**4 - 3*c**3 + 9*c**2 + 27*c.
-c*(c - 3)*(c + 3)**2
Factor -2*j**5 - 58*j**4 - 108*j**3.
-2*j**3*(j + 2)*(j + 27)
Factor -c**2/4 + 183*c/4 - 91/2.
-(c - 182)*(c - 1)/4
Suppose -w**4/8 - 11*w**3/4 + 23*w**2/8 = 0. Calculate w.
-23, 0, 1
Find c, given that 2*c**5/11 - 24*c**3/11 - 4*c**2/11 + 54*c/11 + 36/11 = 0.
-3, -1, 2, 3
Let -12*x**4 - 14*x**3 + 58*x**2 - 26*x - 6 = 0. What is x?
-3, -1/6, 1
Factor -2*m**3/5 + 368*m**2/5 + 742*m/5 + 372/5.
-2*(m - 186)*(m + 1)**2/5
What is x in -11*x**2 - 38*x = 0?
-38/11, 0
Find m such that -4*m**5 - 84*m**4 - 684*m**3 - 2700*m**2 - 5184*m - 3888 = 0.
-6, -3
Determine a so that -10*a**5 + 44*a**4 + 34*a**3 - 20*a**2 = 0.
-1, 0, 2/5, 5
Factor 5*p**2 + 21195*p + 21190.
5*(p + 1)*(p + 4238)
Factor -3*c**5 + 9*c**4 + 45*c**3 + 51*c**2 + 18*c.
-3*c*(c - 6)*(c + 1)**3
Factor p**2 - 31*p.
p*(p - 31)
Factor 2*z**2/9 + 33680*z/9 + 141792800/9.
2*(z + 8420)**2/9
Factor -2*n**3/13 - 12*n**2/13 - 10*n/13 + 24/13.
-2*(n - 1)*(n + 3)*(n + 4)/13
Solve 4*j**3 - 196*j**2 + 736*j - 720 = 0.
2, 45
Factor -1014*m**3/7 - 1079*m**2/7 - 176*m/7 + 64/7.
-(6*m - 1)*(13*m + 8)**2/7
Factor -3*k**4/5 - 33*k**3/5 - 108*k**2/5 - 108*k/5.
-3*k*(k + 2)*(k + 3)*(k + 6)/5
Factor -2*a**2 - 4*a + 16.
-2*(a - 2)*(a + 4)
Factor 2*o**2/17 + 15340*o/17 + 29414450/17.
2*(o + 3835)**2/17
Factor 4*z**3 + 40*z**2 - 44*z.
4*z*(z - 1)*(z + 11)
Let 3*y**2/5 + 3*y - 42/5 = 0. What is y?
-7, 2
Solve -4*d**2 - 628*d + 632 = 0 for d.
-158, 1
Factor -3*z**3/2 - 3591*z**2/2 - 1079973*z/2 - 3207681/2.
-3*(z + 3)*(z + 597)**2/2
Factor x**3/2 - 2*x**2 - 91*x/2 + 245.
(x - 7)**2*(x + 10)/2
Factor 2*x**2/5 + 2034*x/5 - 4076/5.
2*(x - 2)*(x + 1019)/5
Determine x, given that x**3 - 13*x**2 - 4*x + 52 = 0.
-2, 2, 13
Solve 108*d**2/7 - 1980*d/7 + 9075/7 = 0.
55/6
Factor 5*l**3/6 - 55*l**2/6.
5*l**2*(l - 11)/6
Solve s**4 + 5*s**3 - 22*s**2 - 56*s = 0.
-7, -2, 0, 4
Factor 3*f**4 + 3*f**3 - 30*f**2 + 24*f.
3*f*(f - 2)*(f - 1)*(f + 4)
Determine p, given that -2*p**5/3 + 5*p**4/6 - p**3/6 = 0.
0, 1/4, 1
Factor -3*q**5 - 18*q**4 - 27*q**3 - 12*q**2.
-3*q**2*(q + 1)**2*(q + 4)
Solve -u**2/3 + 721*u + 2164/3 = 0.
-1, 2164
Determine s so that 2*s**5/7 + 44*s**4/7 + 176*s**3/7 + 92*s**2/7 - 178*s/7 - 136/7 = 0.
-17, -4, -1, 1
Factor 12716*i**3 - 9792*i**2 + 2460*i - 200.
4*(11*i - 2)*(17*i - 5)**2
Solve -108*a**5 - 1404*a**4 - 5112*a**3 - 6800*a**2 - 3808*a - 768 = 0 for a.
-8, -3, -2/3
Factor -2*s**2/7 - 62*s/7 - 60/7.
-2*(s + 1)*(s + 30)/7
Factor 2*r**5/17 - 4*r**4/17 + 4*r**2/17 - 2*r/17.
2*r*(r - 1)**3*(r + 1)/17
Solve -3*o**2 + 165*o + 342 = 0 for o.
-2, 57
Determine m so that -2*m**3/5 - 244*m**2/15 - 394*m/15 - 52/5 = 0.
-39, -1, -2/3
Let 4*l**4 + 24*l**3 + 28*l**2 - 24*l - 32 = 0. What is l?
-4, -2, -1, 1
Factor -2*i**4 - 12*i**3 - 24*i**2 - 16*i.
-2*i*(i + 2)**3
Factor -4*u**2 - 1680*u + 5076.
-4*(u - 3)*(u + 423)
Find o such that 2*o**5 + 130*o**4 - 540*o**3 + 820*o**2 - 550*o + 138 = 0.
-69, 1
Determine g, given that -2*g**3/7 - 382*g**2/7 - 18430*g/7 - 18050/7 = 0.
-95, -1
Find b such that -b**4 - b**3 + 7*b**2 + b - 6 = 0.
-3, -1, 1, 2
Factor 2*x**2 + 80*x + 800.
2*(x + 20)**2
Factor 8*a**4 - 52*a**3 + 60*a**2 + 4*a - 20.
4*(a - 5)*(a - 1)**2*(2*a + 1)
Factor -3*m**2 + 36*m + 135.
-3*(m - 15)*(m + 3)
Solve -4*y**4 - 580*y**3 + 1172*y**2 - 588*y = 0.
-147, 0, 1
Factor 9522*t**3 + 37536*t**2 - 2200*t + 32.
2*(t + 4)*(69*t - 2)**2
Solve 2*d**5/5 + 2*d**4/5 - 6*d**3/5 - 2*d**2/5 + 4*d/5 = 0.
-2, -1, 0, 1
Factor -4*j**5 + 436*j**3 + 2672*j**2 + 5568*j + 3328.
-4*(j - 13)*(j + 1)*(j + 4)**3
Factor -2*h**4/3 - 2564*h**3/3 - 821762*h**2/3.
-2*h**2*(h + 641)**2/3
Factor -n**3/6 + 135*n**2/2 - 18225*n/2 + 820125/2.
-(n - 135)**3/6
What is t in -2*t**2 + 32*t - 30 = 0?
1, 15
Factor z**2/8 - 233*z - 933/2.
(z - 1866)*(z + 2)/8
Suppose 6*n**5/11 - 34*n**4/11 + 68*n**3/11 - 56*n**2/11 + 16*n/11 = 0. What is n?
0, 2/3, 1, 2
Determine w so that -2*w**3 - 44*w**2 - 306*w - 648 = 0.
-9, -4
Find r, given that 14*r**2 + 60*r - 50 = 0.
-5, 5/7
Factor 2*g**4 + 22*g**3 + 84*g**2 + 128*g + 64.
2*(g + 1)*(g + 2)*(g + 4)**2
Solve 5*u**2 + 100*u + 255 = 0 for u.
-17, -3
Factor -4*s**3 - 1004*s**2.
-4*s**2*(s + 251)
Suppose h**2/2 + 19*h/2 + 9 = 0. What is h?
-18, -1
Suppose k**3 + 5*k**2 - 6*k = 0. Calculate k.
-6, 0, 1
Let -4*h**4 + 16*h**3 + 2328*h**2 + 17264*h - 19604 = 0. What is h?
-13, 1, 29
Suppose -3*b**2 + 18*b + 48 = 0. Calculate b.
-2, 8
Let 4*t**2/7 - 512*t/7 + 16384/7 = 0. What is t?
64
Factor -f**2/2 - 2*f - 3/2.
-(f + 1)*(f + 3)/2
Factor -12*c**3 + 824*c**2 + 284*c - 552.
-4*(c - 69)*(c + 1)*(3*c - 2)
Factor 2*f**2/15 + 4928*f/5 + 9106944/5.
2*(f + 3696)**2/15
Factor o**2/4 - 3737*o/4 + 934.
(o - 3736)*(o - 1)/4
Fact