te d.
-26, 1, 2
Find f, given that 4*f**2 - 628*f = 0.
0, 157
Determine m, given that -2*m**2/5 + 64*m/5 = 0.
0, 32
Let 4*g**5 - 48*g**4 - 500*g**3 - 672*g**2 + 1216*g = 0. What is g?
-4, 0, 1, 19
What is k in -405*k**5 - 765*k**4 + 370*k**3 + 640*k**2 + 160*k = 0?
-2, -4/9, 0, 1
Factor -2*j**2 - 10576*j - 13981472.
-2*(j + 2644)**2
Let -k**3/2 + 227*k**2 - 1353*k/2 = 0. What is k?
0, 3, 451
Factor 3*u**3 - 285*u**2 - 288*u.
3*u*(u - 96)*(u + 1)
Solve -4*c**5 + 20*c**4 + 8*c**3 - 112*c**2 + 32*c + 128 = 0 for c.
-2, -1, 2, 4
Suppose 4*z**2 - 16*z + 12 = 0. What is z?
1, 3
Factor 6*b**3 + 75*b**2 - 132*b - 84.
3*(b - 2)*(b + 14)*(2*b + 1)
Find f such that f**5 - 3*f**4 + 3*f**3 - f**2 = 0.
0, 1
Factor 3*b**5 + 9*b**4 - 3*b**3 - 9*b**2.
3*b**2*(b - 1)*(b + 1)*(b + 3)
Factor -3*r**3 + 90*r**2 - 387*r + 300.
-3*(r - 25)*(r - 4)*(r - 1)
Factor -4*z**2 - 26156*z.
-4*z*(z + 6539)
Find b such that 2*b**3/7 + 4*b**2/7 - 6*b/7 = 0.
-3, 0, 1
Factor -4*f**4 + 64*f**3 + 4*f**2 - 64*f.
-4*f*(f - 16)*(f - 1)*(f + 1)
Factor -j**4/6 - j**3 - 11*j**2/6 - j.
-j*(j + 1)*(j + 2)*(j + 3)/6
What is j in j**5 + 3*j**4 - 16*j**3 - 48*j**2 = 0?
-4, -3, 0, 4
Factor 4*r**3 + 188*r**2 - 2324*r - 2508.
4*(r - 11)*(r + 1)*(r + 57)
Let -2*z**2 + 16704*z - 34877952 = 0. Calculate z.
4176
Find l, given that -4*l**3 - 1900*l**2 - 1896*l = 0.
-474, -1, 0
Factor 5*n**2 + 1515*n + 1510.
5*(n + 1)*(n + 302)
Solve -150*w**4 + 145*w**3 + 605*w**2 - 580*w - 20 = 0.
-2, -1/30, 1, 2
Factor -d**3/3 + 192*d**2 + 385*d + 578/3.
-(d - 578)*(d + 1)**2/3
Factor 4*c**2/11 - 2*c - 42/11.
2*(c - 7)*(2*c + 3)/11
Determine w, given that -175*w**5/2 - 215*w**4/4 + 195*w**3/4 + 10*w**2 - 5*w = 0.
-1, -2/5, 0, 2/7, 1/2
Solve -2*p**5/17 + 36*p**4/17 - 160*p**3/17 - 36*p**2/17 + 162*p/17 = 0 for p.
-1, 0, 1, 9
Let -2*m**5/11 - 54*m**4/11 + 116*m**3/11 = 0. Calculate m.
-29, 0, 2
Factor -2*x**2/15 + 44*x - 2544/5.
-2*(x - 318)*(x - 12)/15
Determine q, given that q**2 - 51*q - 52 = 0.
-1, 52
Suppose 4*b**2/5 + 312*b/5 - 128 = 0. What is b?
-80, 2
Factor -8*v**2 - 76*v + 40.
-4*(v + 10)*(2*v - 1)
Factor -3*k**5/8 + 9*k**4/2 - 33*k**3/4 - 63*k**2/2 - 147*k/8.
-3*k*(k - 7)**2*(k + 1)**2/8
Let 3*b**4 - 36*b**3 - 354*b**2 - 828*b - 513 = 0. What is b?
-3, -1, 19
Find i, given that 16*i**3 - 220*i**2 + 348*i - 144 = 0.
3/4, 1, 12
Factor -10*x**4/3 - 8*x**3 - 6*x**2 - 4*x/3.
-2*x*(x + 1)**2*(5*x + 2)/3
Let 75*p**2/2 - 78*p + 6 = 0. Calculate p.
2/25, 2
Factor 3*g**2 - 30*g - 117.
3*(g - 13)*(g + 3)
Find q, given that -2*q**5/5 - 4*q**4 + 46*q**3/5 - 24*q**2/5 = 0.
-12, 0, 1
What is k in -25*k**2 + 115*k + 50 = 0?
-2/5, 5
Factor -325*q**5/4 + 163*q**4 - q**3.
-q**3*(q - 2)*(325*q - 2)/4
Factor f**5 - 35*f**4 + 112*f**3 + 3320*f**2 + 10736*f + 9680.
(f - 22)**2*(f + 2)**2*(f + 5)
What is y in -2*y**4 - 52*y**3 - 282*y**2 + 728*y - 392 = 0?
-14, 1
Solve -8*o**3 + 770*o**2 - 21296*o + 127776 = 0.
33/4, 44
Suppose 9*h**3 + 33*h**2 + 18*h = 0. Calculate h.
-3, -2/3, 0
Determine f, given that 3*f**2 + 171*f = 0.
-57, 0
Find k such that 2*k**4/11 - 18*k**3/11 + 56*k**2/11 - 72*k/11 + 32/11 = 0.
1, 2, 4
Find z such that -35*z**4/2 - 390*z**3 + 1425*z**2/2 - 185*z - 120 = 0.
-24, -2/7, 1
Determine f, given that 2*f**4/5 - 54*f**3/5 + 38*f**2 - 138*f/5 = 0.
0, 1, 3, 23
Find j, given that 9*j**2 - 176*j - 80 = 0.
-4/9, 20
Suppose -21*n**4 - 540*n**3 + 2592*n**2 - 3216*n + 720 = 0. What is n?
-30, 2/7, 2
Factor 2*t**4 + 22*t**3 + 68*t**2 + 48*t.
2*t*(t + 1)*(t + 4)*(t + 6)
Factor -m**4 - 28*m**3 - 196*m**2.
-m**2*(m + 14)**2
Factor -4*u**2 + 788*u + 1592.
-4*(u - 199)*(u + 2)
Suppose 10*c**5 - 14*c**4 - 16*c**3 + 8*c**2 = 0. Calculate c.
-1, 0, 2/5, 2
Let -4*d**3/9 + 56*d**2/9 + 272*d/9 + 32 = 0. What is d?
-2, 18
Factor -4*l**3/3 - 65*l**2/3 - 34*l + 57.
-(l - 1)*(l + 3)*(4*l + 57)/3
Factor -5*a**4 - 5*a**3 + 20*a**2 + 20*a.
-5*a*(a - 2)*(a + 1)*(a + 2)
Solve 5*k**5 - 665*k**4 + 21765*k**3 + 23785*k**2 - 44890*k = 0 for k.
-2, 0, 1, 67
Factor 687*q**2/4 - 345*q/2 + 3/4.
3*(q - 1)*(229*q - 1)/4
Let 3*p**3/2 - 22*p**2 - 63*p/2 - 8 = 0. Calculate p.
-1, -1/3, 16
Factor 4*w**3 + 20*w**2 - 4*w - 20.
4*(w - 1)*(w + 1)*(w + 5)
Determine c, given that 4*c**2 + 440*c + 12100 = 0.
-55
Factor 3*f**3/5 + 6*f**2 - 2277*f/5.
3*f*(f - 23)*(f + 33)/5
Let -5*v**3 + 245*v**2 - 1070*v - 1320 = 0. What is v?
-1, 6, 44
Factor -3*f**5/7 - 6*f**4/7 + 60*f**3/7 + 24*f**2/7 - 384*f/7 + 384/7.
-3*(f - 2)**3*(f + 4)**2/7
Determine x so that -4*x**3/5 + 436*x**2/5 - 576*x + 2448/5 = 0.
1, 6, 102
Suppose 2*y**2 + 72*y + 198 = 0. Calculate y.
-33, -3
Solve -5*c**5 + 103*c**4 + 2609*c**3/5 + 3481*c**2/5 + 1096*c/5 + 20 = 0 for c.
-2, -1/5, 25
Factor -2*m**2 - 22*m/9 - 4/9.
-2*(m + 1)*(9*m + 2)/9
Factor 2*b**2 + 2944*b/7 + 120.
2*(b + 210)*(7*b + 2)/7
Suppose 2*t**2 + 22*t + 36 = 0. What is t?
-9, -2
Let -2*b**5/7 + 4*b**4/7 + 10*b**3/7 - 12*b**2/7 = 0. Calculate b.
-2, 0, 1, 3
Let 5*s**2 + 160*s + 300 = 0. What is s?
-30, -2
Factor 8*t**2 + 2*t.
2*t*(4*t + 1)
Factor 3*f**5 + 12*f**4 + 9*f**3.
3*f**3*(f + 1)*(f + 3)
Factor 4*t**3 - 4092*t**2 + 8172*t - 4084.
4*(t - 1021)*(t - 1)**2
Suppose -d**4 + 19*d**3 + 9*d**2 - 171*d = 0. Calculate d.
-3, 0, 3, 19
Factor -k**4 + 2*k**3 + 5*k**2 - 6*k.
-k*(k - 3)*(k - 1)*(k + 2)
Suppose 522*g**2/17 - 162*g/17 - 4/17 = 0. What is g?
-2/87, 1/3
Factor c**3/4 - 5*c**2/4 - 2*c + 3.
(c - 6)*(c - 1)*(c + 2)/4
Factor -n**3 + 840*n**2.
-n**2*(n - 840)
Determine a, given that 9*a**5/4 + 35*a**4/2 + 101*a**3/4 + 7*a**2 - 3*a = 0.
-6, -1, 0, 2/9
Factor 3*q**3 - 792*q**2 + 51471*q + 106134.
3*(q - 133)**2*(q + 2)
Suppose -2*g**5/5 - 2*g**4/5 + 82*g**3/5 - 222*g**2/5 + 144*g/5 = 0. What is g?
-8, 0, 1, 3
Determine w, given that 3*w**4/2 + 75*w**3/2 + 129*w**2/2 - 207*w/2 = 0.
-23, -3, 0, 1
Factor -16*j**5 + 12*j**4 + 4*j**3.
-4*j**3*(j - 1)*(4*j + 1)
Factor 50*j**2/3 + 218*j + 52/3.
2*(j + 13)*(25*j + 2)/3
Solve y**5 - 7*y**3 + 6*y**2 = 0 for y.
-3, 0, 1, 2
Factor -4*x**3/7 - 16*x**2/7 + 48*x/7.
-4*x*(x - 2)*(x + 6)/7
Suppose u**4 + 4*u**3 - 5*u**2 - 36*u - 36 = 0. Calculate u.
-3, -2, 3
Factor -z**4 + 17*z**3 - 26*z**2 - 68*z + 120.
-(z - 15)*(z - 2)**2*(z + 2)
Solve -2*u**5 + 8*u**4 - 12*u**3 + 8*u**2 - 2*u = 0 for u.
0, 1
Suppose -3*f**4/4 + 9*f**3 - 129*f**2/4 + 45*f - 21 = 0. Calculate f.
1, 2, 7
Factor 28*h**3 - 188*h**2 + 224*h + 80.
4*(h - 5)*(h - 2)*(7*h + 2)
Factor -4*o**3 + 16*o**2 + 4*o - 16.
-4*(o - 4)*(o - 1)*(o + 1)
Solve -4*g**5 + 156*g**4 - 576*g**3 + 560*g**2 = 0 for g.
0, 2, 35
Find z, given that -51*z**3 - 7350*z**2 - 8157*z - 858 = 0.
-143, -1, -2/17
Determine y so that -y**2/4 - 83*y/2 - 165/4 = 0.
-165, -1
Suppose -4*b**4/7 - 4*b**3 + 76*b**2/7 + 4*b - 72/7 = 0. What is b?
-9, -1, 1, 2
Factor b**3/4 + 28*b**2 + 837*b + 2916.
(b + 4)*(b + 54)**2/4
Let 14*h**5 - 510*h**4 + 1464*h**3/7 + 1720*h**2/7 + 288*h/7 = 0. What is h?
-2/7, 0, 1, 36
Factor -s**2 + 1058*s - 279841.
-(s - 529)**2
Factor 5*s**3 - 10*s**2 - 155*s - 140.
5*(s - 7)*(s + 1)*(s + 4)
Determine q so that 2*q**4/3 + 10*q**3/3 + 2*q**2/3 - 14*q - 12 = 0.
-3, -1, 2
Factor 15*q**3 - 5*q**2 - 15*q + 5.
5*(q - 1)*(q + 1)*(3*q - 1)
Factor -v**2/3 - 130*v/3 - 4225/3.
-(v + 65)**2/3
Suppose -4*t**2 + 380*t = 0. What is t?
0, 95
Let 3*v**4 + 15*v**3 + 27*v**2 + 21*v + 6 = 0. What is v?
-2, -1
Factor -75*w**3 + 2170*w**2 - 10205*w - 690.
-5*(w - 23)*(w - 6)*(15*w + 1)
Let -m**2/6 + 29*m/6 + 31/3 = 0. Calculate m.
-2, 31
Factor -12*y**4 + 241*y**3 - 1556*y**2 + 3200*y - 256.
-(y - 8)**2*(y - 4)*(12*y - 1)
Let 5*k**4/4 - 285*k**3/4 + 1485*k**2 - 13500*k + 45360 = 0. What is k?
12, 21
Factor -n**3/5 + 261*n**2/5 - 1539*n/5 + 459.
-(n - 255)*(n - 3)**2/5
Solve 2*x**4/5 - 16*x**3/5 - 8*x**2/5 + 64*x/5 = 0 for x.
-2, 0, 2, 8
What is o in 2*o**4 - 54*o**3 - 2*o**2 + 54*o = 0?
-1, 0, 1, 27
Find i such that -9*i**3 + 33*i**2 - 15*i - 9 = 0.
-1/3, 1, 3
Factor 20*r**3 + 2145*r**2 + 56700*r - 43740.
5*(r + 54)**2*(4*r - 3)
Factor 4*r**3/5 - 132*r**2/5 + 1136*r/5 - 1008/5.
4*(r - 18)*(r - 14)*(r - 1)/5
Suppose 2*z**2 + 82*z - 84 = 0. What is z?
-42, 1
Suppose 3*f**4/8 + 3*f**3/2 - 39*f**2/8 - 24*f - 18 = 0. What is f?
-4, -3, -1, 4
Factor 28594*b**2 + 116*b + 2/17.
2*(493*b + 1)**2/17
Factor -3*o**3 + 75*o**2 - 72*o.
-3*o*(o - 24)*(o - 1)
Factor -3*b**2 - 471*b - 1