t + 9)
Factor n**3/2 - 3*n**2/2 - 9*n.
n*(n - 6)*(n + 3)/2
Factor -2*r**2/7 - 472*r/7 + 474/7.
-2*(r - 1)*(r + 237)/7
Suppose 4*y**2 - 16*y + 16 = 0. Calculate y.
2
Solve 30*t**5 + 25*t**4 - 65*t**3/3 - 80*t**2/3 - 20*t/3 = 0.
-2/3, -1/2, 0, 1
What is d in 2*d**2/3 + 14*d = 0?
-21, 0
Factor -4*v**2 - 152*v - 1444.
-4*(v + 19)**2
Factor 3*g**3 + 54*g**2 - 4860*g + 52488.
3*(g - 18)**2*(g + 54)
Determine c, given that -14*c**2/5 - 32*c + 96/5 = 0.
-12, 4/7
Determine r so that r**2/3 + 13*r/3 - 10 = 0.
-15, 2
Factor 84*q**3 - 428*q**2 - 1136*q + 112.
4*(q - 7)*(q + 2)*(21*q - 2)
Solve 27*j**5/2 - 165*j**4 + 522*j**3 - 108*j**2 = 0.
0, 2/9, 6
Factor -2*s**3 - 10*s**2 - 16*s - 8.
-2*(s + 1)*(s + 2)**2
Determine s, given that 2*s**4/19 - 36*s**3/19 - 2*s**2 = 0.
-1, 0, 19
Solve -x**4 - 53*x**3 - 669*x**2 + 1053*x + 4374 = 0.
-27, -2, 3
Let 3*m**2 + 36*m + 108 = 0. What is m?
-6
Factor -2*z**3 + 22*z**2 - 62*z + 42.
-2*(z - 7)*(z - 3)*(z - 1)
Factor 2*r**5/5 - 176*r**4/5 + 3692*r**3/5 + 1584*r**2 + 810*r.
2*r*(r - 45)**2*(r + 1)**2/5
Let -5*d**5 - 65*d**4 - 275*d**3 - 335*d**2 + 280*d + 400 = 0. What is d?
-5, -4, -1, 1
Suppose -2*k**5/3 - 22*k**4 + 140*k**3/3 - 4*k**2/3 - 46*k + 70/3 = 0. Calculate k.
-35, -1, 1
Factor 3*z**4 + 1683*z**3 + 1674*z**2 - 3360*z.
3*z*(z - 1)*(z + 2)*(z + 560)
Find c, given that -6*c**5 + 26*c**4 + 36*c**3 - 76*c**2 - 30*c + 50 = 0.
-5/3, -1, 1, 5
Let -5*h**5 + 15*h**4 - 5*h**3 - 15*h**2 + 10*h = 0. Calculate h.
-1, 0, 1, 2
Find y, given that 2*y**2/13 + 3560*y/13 + 1584200/13 = 0.
-890
Factor 14*v**3/9 - 2278*v**2/9 + 10386*v - 7290.
2*(v - 81)**2*(7*v - 5)/9
Factor -3*s**5/7 - 33*s**4/7 - 30*s**3/7 + 318*s**2/7 - 57*s + 21.
-3*(s - 1)**3*(s + 7)**2/7
Factor 5*k**5 + 25*k**4 + 30*k**3 - 20*k**2 - 40*k.
5*k*(k - 1)*(k + 2)**3
Find g such that 4*g**5 + 4*g**4 - 44*g**3 - 116*g**2 - 104*g - 32 = 0.
-2, -1, 4
Factor w**3 - 40*w**2.
w**2*(w - 40)
Factor 89*t**3 + 711*t**2 + 1416*t - 16.
(t + 4)**2*(89*t - 1)
Factor -2*k**3/7 - 12*k**2/7 - 10*k/7 + 24/7.
-2*(k - 1)*(k + 3)*(k + 4)/7
Let 2*t**3/7 - 8*t**2/7 - 82*t/7 - 72/7 = 0. What is t?
-4, -1, 9
What is c in 5*c**3 - 95*c**2 + 90*c = 0?
0, 1, 18
Solve 5*x**2 - 1750*x - 1755 = 0.
-1, 351
Find a such that -19*a**4/10 + 663*a**3/10 - 1203*a**2/10 + 493*a/10 + 33/5 = 0.
-2/19, 1, 33
Factor y**2/6 + 142*y/3 - 95/2.
(y - 1)*(y + 285)/6
Factor -u**2 - 28*u.
-u*(u + 28)
Find i, given that 15*i**5/2 + 133*i**4/4 - 567*i**3 - 1041*i**2/4 + 385*i/2 = 0.
-11, -5/6, 0, 2/5, 7
Find f, given that -5*f**4 + 265*f**3 + 275*f**2 - 265*f - 270 = 0.
-1, 1, 54
Factor -16*m**2/5 + 14268*m/5 + 3568/5.
-4*(m - 892)*(4*m + 1)/5
Solve 2*l**4/9 - 178*l**3/9 + 58*l**2 - 518*l/9 + 172/9 = 0.
1, 86
Factor f**3 - 4*f**2 + 4*f.
f*(f - 2)**2
Solve -5*c**4 - 25*c**3 + 5*c**2 + 25*c = 0.
-5, -1, 0, 1
Determine x, given that 2*x**4 - 88*x**3/3 - 42*x**2 - 32*x/3 = 0.
-1, -1/3, 0, 16
Solve -4*b**2 - 916*b = 0 for b.
-229, 0
Let -2*p**5/3 + 2*p**4/3 + 2*p**3 - 2*p**2/3 - 4*p/3 = 0. What is p?
-1, 0, 1, 2
Let -a**3/7 - 33*a**2/7 + 312*a/7 + 12844/7 = 0. Calculate a.
-26, 19
Let f**4 + 15*f**3 + 38*f**2 + 24*f = 0. Calculate f.
-12, -2, -1, 0
Factor 28*f**5 + 148*f**4 + 292*f**3 + 268*f**2 + 112*f + 16.
4*(f + 1)**3*(f + 2)*(7*f + 2)
Factor -r**2 - 4*r + 117.
-(r - 9)*(r + 13)
Find y, given that 14*y**3/5 + 8676*y**2/5 + 268584*y - 76880 = 0.
-310, 2/7
Factor -y**4 - 35*y**3 - 121*y**2 + 111*y + 558.
-(y - 2)*(y + 3)**2*(y + 31)
Factor 3*c**5 - 6*c**4 - 18*c**3 + 12*c**2 + 39*c + 18.
3*(c - 3)*(c - 2)*(c + 1)**3
What is i in 2*i**2/9 + 556*i/9 + 38642/9 = 0?
-139
Let -3*o**3/2 - 3*o**2/2 + 33*o + 60 = 0. Calculate o.
-4, -2, 5
Suppose x**4 + 3*x**3 - 43*x**2 + 93*x - 54 = 0. What is x?
-9, 1, 2, 3
Let -3*p**2 + 15*p + 1242 = 0. What is p?
-18, 23
Solve j**3/3 - 13*j**2/3 + 14*j = 0.
0, 6, 7
Factor -2*f**5/3 - 16*f**4 - 38*f**3 + 1996*f**2/3 - 1640*f + 1200.
-2*(f - 2)**3*(f + 15)**2/3
Let -5*n**3/6 + 35*n**2/3 - 55*n/2 = 0. What is n?
0, 3, 11
Suppose 2*x**5/3 - 19*x**4/6 + 19*x**3/6 + x**2 = 0. Calculate x.
-1/4, 0, 2, 3
Let d**5/3 + 14*d**4/3 + 73*d**3/3 + 172*d**2/3 + 176*d/3 + 64/3 = 0. Calculate d.
-4, -1
Factor f**2/5 + 41*f - 206/5.
(f - 1)*(f + 206)/5
Find o, given that 3*o**4/2 + 177*o**3/2 + 2697*o**2/2 + 2523*o/2 = 0.
-29, -1, 0
Factor -3*t**4 - 129*t**3 - 1056*t**2.
-3*t**2*(t + 11)*(t + 32)
Factor d**3/11 + 16*d**2/11 - 9*d + 126/11.
(d - 3)*(d - 2)*(d + 21)/11
Factor -4*q**2 - 7*q + 2.
-(q + 2)*(4*q - 1)
Factor 5*c**5 - 2310*c**4 + 16015*c**3 - 41050*c**2 + 45540*c - 18200.
5*(c - 455)*(c - 2)**3*(c - 1)
Determine c so that 70227*c**2/4 - 459*c + 3 = 0.
2/153
Factor -f**4 - f**3 + 6*f**2.
-f**2*(f - 2)*(f + 3)
Let -10*t**4 - 135*t**3 + 80*t**2 + 135*t - 70 = 0. Calculate t.
-14, -1, 1/2, 1
Suppose -4*u**5 - 892*u**4 - 51052*u**3 - 147844*u**2 - 146080*u - 48400 = 0. Calculate u.
-110, -1
Factor 6*a**4/7 - 16*a**3 + 72*a**2/7.
2*a**2*(a - 18)*(3*a - 2)/7
Determine t so that 3*t**5 - 132*t**3 - 126*t**2 + 129*t + 126 = 0.
-6, -1, 1, 7
Suppose 74*p**4/17 + 88*p**3/17 - 222*p**2/17 - 412*p/17 - 176/17 = 0. What is p?
-44/37, -1, 2
Determine n so that n**3/7 + 153*n**2/7 + 7803*n/7 + 132651/7 = 0.
-51
Factor -3*b**2 - 960*b - 76800.
-3*(b + 160)**2
Determine a, given that a**5 - 4*a**4 + 4*a**3 + 2*a**2 - 5*a + 2 = 0.
-1, 1, 2
Suppose q**5 - 62*q**4 + 121*q**3 - 60*q**2 = 0. What is q?
0, 1, 60
What is v in -28*v**4 + 20*v**3 + 36*v**2 - 20*v - 8 = 0?
-1, -2/7, 1
Factor 3*t**2 - 3849*t + 3846.
3*(t - 1282)*(t - 1)
Factor 2*u**2 + 130*u/9 + 28/9.
2*(u + 7)*(9*u + 2)/9
Let 4*f**2/7 - 4*f - 32/7 = 0. Calculate f.
-1, 8
Factor -7*d**3/9 + 8*d**2/3 + 16*d/9.
-d*(d - 4)*(7*d + 4)/9
Factor 9*i**4/4 - 15*i**3/4 - 8*i**2 - 3*i.
i*(i - 3)*(3*i + 2)**2/4
Factor 3*o**3/5 + 54*o**2/5 + 141*o/5 + 18.
3*(o + 1)*(o + 2)*(o + 15)/5
Factor j**4/3 + 4*j**3 + 46*j**2/3 + 20*j + 25/3.
(j + 1)**2*(j + 5)**2/3
Find l, given that 3*l**4 + 51*l**3 - 627*l**2 - 675*l = 0.
-25, -1, 0, 9
Factor -2*o**4/3 + 8*o**3/3 + 22*o**2/3 + 4*o.
-2*o*(o - 6)*(o + 1)**2/3
Factor -2*o**3/15 + 2*o**2/5 + 6*o/5 + 2/3.
-2*(o - 5)*(o + 1)**2/15
Factor 311364*c**2 + 4464*c + 16.
4*(279*c + 2)**2
Find g, given that -5*g**4/2 + 165*g**3/2 - 1325*g**2/2 - 165*g/2 + 665 = 0.
-1, 1, 14, 19
Determine n, given that -4*n**5/13 - 34*n**4/13 - 4*n**3/13 + 110*n**2/13 + 116*n/13 + 32/13 = 0.
-8, -1, -1/2, 2
Factor -2*w**5/15 + 12*w**4 - 1288*w**3/5 - 8464*w**2/15.
-2*w**2*(w - 46)**2*(w + 2)/15
Solve -20*l**4 + 175*l**3 + 65*l**2 - 175*l - 45 = 0.
-1, -1/4, 1, 9
Suppose f**5/3 - 40*f**4 + 116*f**3/3 + 358*f**2/3 - 39*f - 238/3 = 0. Calculate f.
-1, 1, 2, 119
Factor 3*w**5 + 18*w**4 - 108*w**3 + 120*w**2.
3*w**2*(w - 2)**2*(w + 10)
Factor -i**2/2 - 7*i/6 - 1/3.
-(i + 2)*(3*i + 1)/6
Factor x**2/4 - 28*x - 57.
(x - 114)*(x + 2)/4
Suppose d**4/7 + 16*d**3/7 - 47*d**2 + 1356*d/7 - 1044/7 = 0. Calculate d.
-29, 1, 6
Factor -2*l**3/19 + 24*l**2/19 + 120*l/19 + 128/19.
-2*(l - 16)*(l + 2)**2/19
Factor 3*o**3/4 + 183*o**2/4 + 45*o.
3*o*(o + 1)*(o + 60)/4
Solve 4*o**4/3 + 10*o**3/3 - 44*o**2 - 322*o/3 + 440/3 = 0 for o.
-5, -4, 1, 11/2
Let -5*p**3 - 280*p**2 + 935*p + 2950 = 0. What is p?
-59, -2, 5
Determine c so that 3*c**3/4 - 3*c**2/2 - 4449*c/4 - 1110 = 0.
-37, -1, 40
Suppose 3*o**2/2 + 957*o/2 - 480 = 0. What is o?
-320, 1
Factor -2*f**2 + 18*f + 324.
-2*(f - 18)*(f + 9)
Let d**2/3 + 17*d/3 - 38/3 = 0. Calculate d.
-19, 2
Factor -2*m**2/7 + 36*m/7 + 80/7.
-2*(m - 20)*(m + 2)/7
Factor -3*u**3/8 + 291*u**2/8 + 1203*u/8 + 909/8.
-3*(u - 101)*(u + 1)*(u + 3)/8
Factor -15*b**3 + 153*b**2 - 165*b + 27.
-3*(b - 9)*(b - 1)*(5*b - 1)
Factor -16*g**5 + 4248*g**4 - 2121*g**3 + 265*g**2.
-g**2*(g - 265)*(4*g - 1)**2
Suppose 36*w**5 - 300*w**4 + 652*w**3 - 36*w**2 - 288*w - 64 = 0. What is w?
-1/3, 1, 4
Find u such that -5*u**5/2 + 15*u**4/2 + 205*u**3/2 + 525*u**2/2 + 260*u + 90 = 0.
-2, -1, 9
What is v in -2*v**3 - 8*v**2 + 56*v - 64 = 0?
-8, 2
Solve r**4 + 3*r**3 - 99*r**2/4 + 22*r - 21/4 = 0 for r.
-7, 1/2, 3
Solve -4*n**2 + 24824*n - 38514436 = 0 for n.
3103
Let 4*l**4 + 32*l**3 - 16*l**2 - 128*l = 0. What is l?
-8, -2, 0, 2
Suppose 3*t**3 - 18*t**2 - 273*t = 0. Calculate t.
-7, 0, 13
Suppose -2*w**3/5 - 524*w**2/5 + 424*w - 2128/5 = 0. What is w?
-266, 2
Determine n,