ctor 2*p**3 - 32*p**2 + 102*p - 72.
2*(p - 12)*(p - 3)*(p - 1)
Solve -4*k**2/3 + 944*k + 2836/3 = 0 for k.
-1, 709
Determine t, given that -5*t**5/3 + 50*t**4/3 - 35*t**3 - 340*t**2/3 + 1360*t/3 - 320 = 0.
-3, 1, 4
Factor -3*x**5 - 6*x**4 + 24*x**3 - 6*x**2 - 21*x + 12.
-3*(x - 1)**3*(x + 1)*(x + 4)
Suppose -2*j**4/11 - 18*j**3/11 + 32*j**2/11 + 120*j/11 = 0. What is j?
-10, -2, 0, 3
Let 1029*a**5 - 1617*a**4 - 3906*a**3 - 1446*a**2 - 195*a - 9 = 0. What is a?
-1, -1/7, 3
Solve -12*w**3 + 69*w**2 - 93*w + 36 = 0 for w.
3/4, 1, 4
Factor -4*o**2 + 540*o + 544.
-4*(o - 136)*(o + 1)
Determine o, given that 2*o**4/5 + 74*o**3/5 + 72*o**2/5 = 0.
-36, -1, 0
Factor -2*z**2/9 + 8*z/9 - 8/9.
-2*(z - 2)**2/9
Factor -3*c**3 + 24*c**2 - 36*c.
-3*c*(c - 6)*(c - 2)
Factor -3*d**2/4 + 5919*d/2 - 11678187/4.
-3*(d - 1973)**2/4
Factor 10*j**3 - 48*j**2 + 30*j + 8.
2*(j - 4)*(j - 1)*(5*j + 1)
Factor -2*g**3/13 + 8*g**2/13 + 6*g/13 - 36/13.
-2*(g - 3)**2*(g + 2)/13
Determine i, given that -i**3/4 - 19*i**2/2 + 361*i + 13718 = 0.
-38, 38
Solve -r**2/7 - 8070*r/7 - 16281225/7 = 0.
-4035
Factor 2*f**4/7 + 2*f**3/7 - 2*f**2/7 - 2*f/7.
2*f*(f - 1)*(f + 1)**2/7
Determine s so that -24*s**3 + 4*s**2 + 24*s - 4 = 0.
-1, 1/6, 1
What is w in 14*w**2/9 - 10*w/9 - 400/9 = 0?
-5, 40/7
Factor 2*z**2/7 + 96*z/7 - 416/7.
2*(z - 4)*(z + 52)/7
Let -2*w**4/15 + 8*w**3/15 - 2*w**2/3 + 4*w/15 = 0. What is w?
0, 1, 2
What is m in -5*m**3 - 225*m**2 - 2640*m - 2420 = 0?
-22, -1
Factor -7*u**3/3 + 25*u**2.
-u**2*(7*u - 75)/3
Determine u so that 2*u**5 - 6*u**4 - 4*u**3 + 12*u**2 + 2*u - 6 = 0.
-1, 1, 3
Factor 3*a**3 - 9758*a**2/3 + 21644*a/3 - 4328/3.
(a - 1082)*(a - 2)*(9*a - 2)/3
Solve -2*h**4/7 - 32*h**3/7 - 138*h**2/7 - 188*h/7 - 80/7 = 0.
-10, -4, -1
Let -i**3 - 3644*i**2 - 3323325*i - 6632082 = 0. What is i?
-1821, -2
Let 2*r**4 + 128*r**3 + 720*r**2 + 1408*r + 928 = 0. Calculate r.
-58, -2
Factor -2*n**3/7 - 6*n**2 - 270*n/7 - 486/7.
-2*(n + 3)*(n + 9)**2/7
Find o, given that 4*o**3 - 496*o**2/7 + 332*o/7 + 136/7 = 0.
-2/7, 1, 17
What is a in 2*a**4 + 74*a**3 - 236*a**2 + 160*a = 0?
-40, 0, 1, 2
Find c, given that -c**2/4 + 3*c/4 + 9/2 = 0.
-3, 6
Determine o, given that -2*o**4/3 - o**3 + o**2 + 2*o/3 = 0.
-2, -1/2, 0, 1
Factor 3*x**3/4 - 3*x**2/4 - 15*x/4 - 9/4.
3*(x - 3)*(x + 1)**2/4
Factor 2*k**2/9 - 4*k/9 + 2/9.
2*(k - 1)**2/9
Solve -f**3/3 + 2*f**2 - 8*f/3 = 0 for f.
0, 2, 4
Factor 2*d**3 - 43*d**2 - 23*d + 22.
(d - 22)*(d + 1)*(2*d - 1)
Factor 5*a**2 - 10*a - 75.
5*(a - 5)*(a + 3)
Let 35*u**2/6 - 23*u/6 - 2 = 0. What is u?
-12/35, 1
Find m, given that -3*m**2/2 + 345*m/2 - 3741 = 0.
29, 86
Factor a**2/4 - 35*a + 1225.
(a - 70)**2/4
Factor 3*q**3/2 - 79*q**2 - 110*q + 108.
(q - 54)*(q + 2)*(3*q - 2)/2
Factor 30276*v**2/5 - 44544*v/5 + 16384/5.
4*(87*v - 64)**2/5
Find x such that -3*x**4 - 306*x**3 + 9*x**2 + 924*x + 612 = 0.
-102, -1, 2
Suppose 2*k**4 - 494*k**3 - 496*k**2 = 0. What is k?
-1, 0, 248
Solve g**3/2 - 7*g**2/2 + 6*g = 0.
0, 3, 4
Let -2*u**2/7 - 18*u/7 + 72/7 = 0. Calculate u.
-12, 3
Determine b, given that -2*b**4/3 + 118*b**3/3 - 518*b**2 - 5518*b/3 - 3844/3 = 0.
-2, -1, 31
Let -y**3/6 + 13*y**2/2 - 133*y/2 + 361/6 = 0. Calculate y.
1, 19
Let -32*l**5/15 + 34*l**4/15 + 2*l**3 - 34*l**2/15 + 2*l/15 = 0. What is l?
-1, 0, 1/16, 1
Let 2*w**3 + 6*w**2 + 4*w = 0. What is w?
-2, -1, 0
Factor 5*n**4 + 55*n**3 + 140*n**2.
5*n**2*(n + 4)*(n + 7)
Determine g so that -25*g**5 - 360*g**4 + 385*g**3 + 2460*g**2 + 900*g = 0.
-15, -2, -2/5, 0, 3
Determine y so that -2*y**4 + 80*y**3 - 868*y**2 + 1216*y + 2166 = 0.
-1, 3, 19
Factor -i**5/3 + 2*i**3/3 - i/3.
-i*(i - 1)**2*(i + 1)**2/3
Determine w so that 5*w**2 + 165*w - 170 = 0.
-34, 1
Suppose 3*n**5 + 45*n**4 + 234*n**3 + 534*n**2 + 531*n + 189 = 0. What is n?
-7, -3, -1
Factor -49*z**2 - 532*z - 1444.
-(7*z + 38)**2
Suppose -3*k**4 - 63*k**3 - 459*k**2 - 1281*k - 882 = 0. Calculate k.
-7, -6, -1
Factor -3*g**2/4 + 113*g/4 + 39.
-(g - 39)*(3*g + 4)/4
Factor t**2/7 - 201*t/7 + 398/7.
(t - 199)*(t - 2)/7
Solve u**4/5 - 3*u**3/5 + u**2/5 + 3*u/5 - 2/5 = 0 for u.
-1, 1, 2
Factor -l**4/5 - l**3 - 4*l**2/5.
-l**2*(l + 1)*(l + 4)/5
Find s, given that s**3/2 + 9*s**2/2 - 24*s - 224 = 0.
-8, 7
Factor -4*x**2 - 108*x - 704.
-4*(x + 11)*(x + 16)
Factor 3*v**4 + 66*v**3 - 396*v**2 + 270*v + 729.
3*(v - 3)**2*(v + 1)*(v + 27)
What is p in p**2 + 115*p - 476 = 0?
-119, 4
Solve -8*r**5/25 + 38*r**4/25 - 6*r**3/5 - 2*r**2 + 38*r/25 + 12/25 = 0.
-1, -1/4, 1, 2, 3
Let -2*p**4/7 + 50*p**3/7 - 34*p**2 + 190*p/7 = 0. What is p?
0, 1, 5, 19
Factor 4*y**2 - 532*y + 1048.
4*(y - 131)*(y - 2)
Factor 3*t**3/2 + 342*t**2 + 43335*t/2 + 240429.
3*(t + 14)*(t + 107)**2/2
Determine u so that -5*u**2 - 2300*u - 264500 = 0.
-230
Suppose -3*f**2 - 855*f - 1698 = 0. What is f?
-283, -2
Suppose 3*t**2/2 - 30*t - 63/2 = 0. What is t?
-1, 21
Let -3*k**3/2 - 63*k**2/2 - 162*k = 0. Calculate k.
-12, -9, 0
Let -f**4/2 - 30*f**3 - 1139*f**2/2 - 3144*f + 3744 = 0. What is f?
-24, -13, 1
Factor 50*t**4/9 + 32*t**3/3 - 8*t**2/9.
2*t**2*(t + 2)*(25*t - 2)/9
Factor -u**2 + 183*u + 370.
-(u - 185)*(u + 2)
Factor s**4/3 - 104*s**3/3 + 305*s**2/3 - 202*s/3.
s*(s - 101)*(s - 2)*(s - 1)/3
Factor 5*y**2 - 85*y - 420.
5*(y - 21)*(y + 4)
Factor 6*x**2 - 513*x - 258.
3*(x - 86)*(2*x + 1)
Factor -3*d**3/4 + 21*d**2/4 - 45*d/4 + 27/4.
-3*(d - 3)**2*(d - 1)/4
Factor f**4 - 25*f**3 - 84*f**2 - 4*f + 112.
(f - 28)*(f - 1)*(f + 2)**2
Factor -l**2/9 + 64*l/3 - 191/9.
-(l - 191)*(l - 1)/9
Factor -3*n**4 + 12*n**3 + 57*n**2 + 42*n.
-3*n*(n - 7)*(n + 1)*(n + 2)
Find z such that 2*z**4 + 12*z**3 + 18*z**2 + 8*z = 0.
-4, -1, 0
Suppose l**4/7 - 1296*l**3/7 - l**2/7 + 1296*l/7 = 0. What is l?
-1, 0, 1, 1296
Factor -2*m**2 - 18*m - 40.
-2*(m + 4)*(m + 5)
Solve 32*f**5 + 668*f**4 - 820*f**3 - 580*f**2 + 788*f - 88 = 0 for f.
-22, -1, 1/8, 1
Solve 2*r**2 - 12*r + 10 = 0.
1, 5
Factor -4*f**3 - 68*f**2 - 320*f - 256.
-4*(f + 1)*(f + 8)**2
Determine m so that 3*m**3 - 57*m**2 + 192*m - 180 = 0.
2, 15
Solve 9*p**2 - 6540*p + 4356 = 0 for p.
2/3, 726
Factor r**2/5 + 7*r/5 - 44/5.
(r - 4)*(r + 11)/5
Factor 3*h**4/4 + 27*h**3/4 + 21*h**2 + 27*h + 12.
3*(h + 1)*(h + 2)**2*(h + 4)/4
Determine o, given that -2*o**2 - 1394*o = 0.
-697, 0
Let -5*w**4 + 140*w**3 - 1110*w**2 + 1820*w - 845 = 0. What is w?
1, 13
Factor -3*k**2 + 123*k - 120.
-3*(k - 40)*(k - 1)
Let -3*c**3/5 - 516*c**2/5 + 519*c/5 = 0. Calculate c.
-173, 0, 1
Factor 4*l**4/3 + 4*l**3/3 - 20*l**2 + 92*l/3 - 40/3.
4*(l - 2)*(l - 1)**2*(l + 5)/3
Factor -u**5 + 13*u**4 - 32*u**3 - 136*u**2 + 336*u + 720.
-(u - 6)**2*(u - 5)*(u + 2)**2
Find r, given that r**4/10 - 4*r**3/5 + 2*r**2/5 + 24*r/5 = 0.
-2, 0, 4, 6
Let 3*h**4 - 6*h**3 - 9*h**2 = 0. What is h?
-1, 0, 3
Solve -3*z**4/2 - 3636*z**3 - 4406829*z**2/2 + 3636*z + 2203416 = 0 for z.
-1212, -1, 1
Factor 2*t**3 - 12*t**2 + 10*t.
2*t*(t - 5)*(t - 1)
Factor -c**4/11 + 992*c**3/11 - 369024*c**2/11 + 61011968*c/11 - 3782742016/11.
-(c - 248)**4/11
Find w such that 2*w**5/9 - 22*w**3/9 - 4*w**2 - 16*w/9 = 0.
-2, -1, 0, 4
Factor 2*s**2 - 36*s.
2*s*(s - 18)
Factor 3*v**4 + 66*v**3 + 171*v**2 - 12*v - 228.
3*(v - 1)*(v + 2)**2*(v + 19)
Factor 2*g**4/3 - 230*g**3/3 + 224*g**2.
2*g**2*(g - 112)*(g - 3)/3
Factor -b**2/5 - b/5.
-b*(b + 1)/5
Factor 2*u**4 + 29*u**3/3 + 19*u**2/3 - 4*u/3.
u*(u + 1)*(u + 4)*(6*u - 1)/3
Solve -3*k**2/2 + 36*k - 120 = 0.
4, 20
Factor z**3/3 - 69*z**2 + 3536*z + 10816/3.
(z - 104)**2*(z + 1)/3
Solve -40*w**3 - 238*w**2 + 12*w = 0 for w.
-6, 0, 1/20
Determine c, given that -3*c**5/5 - 3*c**4/5 + 12*c**3/5 + 12*c**2/5 = 0.
-2, -1, 0, 2
Suppose -42*i**2/11 + 46*i/11 - 4/11 = 0. What is i?
2/21, 1
Suppose -27*g**4/7 - 3*g**3 + 33*g**2/7 + 3*g - 6/7 = 0. Calculate g.
-1, 2/9, 1
Factor 3*k**4 + 12*k**3 - 3*k**2 - 12*k.
3*k*(k - 1)*(k + 1)*(k + 4)
Let 2*j**5 - 16*j**4 + 24*j**3 + 52*j**2 - 122*j + 60 = 0. What is j?
-2, 1, 3, 5
Determine u so that 6*u**3 + 591*u**2 - 297*u = 0.
-99, 0, 1/2
Factor 2*b**4 + 22*b**3 + 38*b**2 + 18*b.
2*b*(b + 1)**2*(b + 9)
Factor -5*t**3 - 1895*t**2 + 5720*t - 3820.
-5*(t - 2)*(t - 1)*(t + 382)
Suppose 21*t**5/5 + 69*t**4/5 - 87*t**3/5 - 93*t**2/5 + 66*t/5 + 24/5 = 0. What is t?
-4, -1, -2/7, 1
Determine t so that 4*t**5 - 4*t**4 - 40*t**3 + 40*t**2 + 36*