36)
Solve -8*j**4/5 + 36*j**3/5 + 308*j**2/5 + 144*j/5 = 0.
-4, -1/2, 0, 9
Let 4*x**3 + 12*x**2 - 256*x + 240 = 0. What is x?
-10, 1, 6
Solve b**5/2 - 3*b**4/2 - 3*b**3/2 + 11*b**2/2 - 3*b = 0.
-2, 0, 1, 3
Factor 4*k**5 - 132*k**3 + 400*k**2 - 336*k.
4*k*(k - 3)*(k - 2)**2*(k + 7)
Factor -4*h**3 + 2544*h**2 - 412020*h + 2381400.
-4*(h - 315)**2*(h - 6)
Find j such that 2*j**2 + 2*j = 0.
-1, 0
Factor 3*r**3/2 + 12*r**2 + 24*r.
3*r*(r + 4)**2/2
Solve 9*n**5 - 24*n**4 - 20*n**3 + 30*n**2 + 11*n - 6 = 0.
-1, -2/3, 1/3, 1, 3
Solve 4*a**4/5 + 112*a**3/5 + 156*a**2 - 112*a/5 - 784/5 = 0 for a.
-14, -1, 1
Factor -s**4 - 19*s**3 - 63*s**2 - 45*s.
-s*(s + 1)*(s + 3)*(s + 15)
Factor -10*k**3 - 2555*k**2 + 1285*k + 1280.
-5*(k - 1)*(k + 256)*(2*k + 1)
Suppose -5*j**5 - 65*j**4 - 140*j**3 + 160*j**2 + 640*j + 400 = 0. What is j?
-10, -2, -1, 2
Solve 2*v**3/13 + 30*v**2/13 - 66*v/13 - 1694/13 = 0.
-11, 7
Solve 2*p**5/5 - 14*p**3/5 - 12*p**2/5 = 0.
-2, -1, 0, 3
Factor 2*h**3/7 + 132*h**2/7 - 878*h/7 - 144.
2*(h - 7)*(h + 1)*(h + 72)/7
Let -o**2 - 483*o - 962 = 0. What is o?
-481, -2
What is p in 76050*p**2/7 + 780*p/7 + 2/7 = 0?
-1/195
Suppose -2*y**4 - 44*y**3/7 - 34*y**2/7 - 4*y/7 = 0. What is y?
-2, -1, -1/7, 0
Factor -3*n**5 + 222*n**4 - 858*n**3 + 1272*n**2 - 843*n + 210.
-3*(n - 70)*(n - 1)**4
Determine m, given that 2*m**2 - 302*m = 0.
0, 151
Let z**4 - 22*z**3 + 157*z**2 - 396*z + 324 = 0. What is z?
2, 9
Determine g so that 2*g**4 + 20*g**3 + 38*g**2 - 60*g = 0.
-6, -5, 0, 1
Factor -15*b**5 - 1026*b**4 - 408*b**3.
-3*b**3*(b + 68)*(5*b + 2)
Factor 3*p**2/2 + 9*p/2 - 357.
3*(p - 14)*(p + 17)/2
Suppose 5*v**4 + 180*v**3 + 1940*v**2 + 5760*v + 5120 = 0. What is v?
-16, -2
Determine p so that -2*p**2 - 4036*p + 4038 = 0.
-2019, 1
Factor 5*s**3 - 15*s**2 - 170*s + 600.
5*(s - 5)*(s - 4)*(s + 6)
Solve -18*j**3/17 + 2640*j**2/17 - 6944*j/17 + 4608/17 = 0.
4/3, 144
Let 5*k**2 - 800*k + 1580 = 0. Calculate k.
2, 158
Determine y, given that -4*y**4 - 88*y**3 + 400*y**2 - 416*y = 0.
-26, 0, 2
Let t**3/10 - t**2/10 - 32*t/5 + 32/5 = 0. Calculate t.
-8, 1, 8
Determine p so that 4*p**5/19 + 58*p**4/19 + 26*p**3/19 - 28*p**2/19 = 0.
-14, -1, 0, 1/2
Factor f**2 + 8*f + 7.
(f + 1)*(f + 7)
Factor q**2/2 + 357*q.
q*(q + 714)/2
Factor 2*n**4/3 - 52*n**3/3 + 386*n**2/3 - 208*n + 96.
2*(n - 12)**2*(n - 1)**2/3
Factor -2*h**2/7 - 52*h/7 - 50/7.
-2*(h + 1)*(h + 25)/7
Let -2*f**3/9 - 8*f**2/3 + 8*f/9 + 32/3 = 0. Calculate f.
-12, -2, 2
Find a, given that a**3/8 + 53*a**2/4 + 1221*a/8 + 279/2 = 0.
-93, -12, -1
Factor -u**2 + 546*u - 74529.
-(u - 273)**2
Factor -5*c**4 + 120*c**3 - 920*c**2 + 2400*c - 2000.
-5*(c - 10)**2*(c - 2)**2
Find f, given that -8*f**3 - 2*f**2 + 22*f - 12 = 0.
-2, 3/4, 1
Solve 5*r**3 - 5*r**2 - 5*r + 5 = 0.
-1, 1
Suppose i**4/5 - i**3 + 7*i**2/5 - 3*i/5 = 0. Calculate i.
0, 1, 3
Solve 2*v**4/3 + 48*v**3 - 1298*v**2/3 - 480*v = 0.
-80, -1, 0, 9
Factor 2*l**3/7 - 20*l**2/7 + 8*l - 48/7.
2*(l - 6)*(l - 2)**2/7
Factor b**3/5 - 329*b**2/5 + 5312*b + 82668/5.
(b - 166)**2*(b + 3)/5
Factor u**3/4 - 55*u**2/4 + 107*u/4 - 53/4.
(u - 53)*(u - 1)**2/4
Factor 4*m**5 + 28*m**4 + 76*m**3 + 100*m**2 + 64*m + 16.
4*(m + 1)**3*(m + 2)**2
Factor 3*i**2 - 54*i + 51.
3*(i - 17)*(i - 1)
Let -3*v**2 - 7620*v - 7617 = 0. What is v?
-2539, -1
Let 9*v**3/8 + 11*v**2/8 - 2*v - 1/2 = 0. What is v?
-2, -2/9, 1
Suppose -2*g**2/7 + 4*g + 190/7 = 0. What is g?
-5, 19
Factor k**2/4 - 67*k/4 - 69/2.
(k - 69)*(k + 2)/4
Suppose 5*k**2 - 60*k + 100 = 0. Calculate k.
2, 10
Let 4*r**4/7 + 4*r**3/7 - 132*r**2/7 + 236*r/7 - 16 = 0. Calculate r.
-7, 1, 4
Determine v so that 2*v**2/3 + 20*v - 800/3 = 0.
-40, 10
Determine w so that 5*w**3 - 60*w**2 - 245*w + 300 = 0.
-4, 1, 15
Suppose -25*t**3 - 630*t**2 + 1225*t + 270 = 0. Calculate t.
-27, -1/5, 2
Suppose r**3 - 63*r**2 - 346*r + 408 = 0. Calculate r.
-6, 1, 68
Find j such that 12*j**3 - 75*j**2 + 78*j - 15 = 0.
1/4, 1, 5
Factor 62*j**4 + 2042*j**3 + 22374*j**2 + 81070*j - 5324.
2*(j + 11)**3*(31*j - 2)
Factor 5*d**2 - 1035*d - 1040.
5*(d - 208)*(d + 1)
Factor 3*g**3 + 30*g**2 - 72*g.
3*g*(g - 2)*(g + 12)
Solve -2218*m**2/5 - 2222*m/5 - 4/5 = 0.
-1, -2/1109
Let 4*o**4 - 104*o**3 - 864*o**2 - 1944*o - 1188 = 0. What is o?
-3, -1, 33
Let 4*t**5 + 24*t**4 + 8*t**3 - 80*t**2 - 108*t - 40 = 0. Calculate t.
-5, -1, 2
Factor 78*y**2 - 51*y + 6.
3*(2*y - 1)*(13*y - 2)
Factor 3*r**5 - 369*r**4 + 15309*r**3 - 265923*r**2 + 1666980*r.
3*r*(r - 60)*(r - 21)**3
Factor -2*q**5/3 + 10*q**4/3 - 14*q**3/3 + 2*q**2.
-2*q**2*(q - 3)*(q - 1)**2/3
Suppose 5*z**4 + 10*z**3 - 35*z**2 - 100*z - 60 = 0. What is z?
-2, -1, 3
Solve -4*h**5 - 27*h**4 - 13*h**3 + 33*h**2 + 17*h - 6 = 0 for h.
-6, -1, 1/4, 1
Determine a, given that -3*a**3/5 - 24*a**2/5 + 348*a/5 - 576/5 = 0.
-16, 2, 6
Determine l, given that 3*l**5 + 303*l**4 + 1176*l**3 + 1164*l**2 = 0.
-97, -2, 0
Factor 3*n**2/2 - 3*n/2 - 3.
3*(n - 2)*(n + 1)/2
Find w, given that 3*w**5 - 135*w**4 + 1578*w**3 - 1188*w**2 - 2904*w = 0.
-1, 0, 2, 22
Factor 3*o**5 + 66*o**4 + 180*o**3 + 174*o**2 + 57*o.
3*o*(o + 1)**3*(o + 19)
What is h in 3*h**4/4 - 147*h**3/4 + 387*h**2/2 = 0?
0, 6, 43
Solve -10*l**3 - 8*l**2 + 18*l = 0.
-9/5, 0, 1
Suppose 9*c**2/8 + 213*c/8 + 69/4 = 0. Calculate c.
-23, -2/3
Factor 2*w**2 + 284*w + 10082.
2*(w + 71)**2
Factor -4*s**4/9 - 176*s**3/3 - 16888*s**2/9 + 11792*s/3 - 17956/9.
-4*(s - 1)**2*(s + 67)**2/9
Suppose q**2/10 + 28*q/5 - 58/5 = 0. Calculate q.
-58, 2
Find o, given that 63*o**4 - 1644*o**3 + 4629*o**2 - 3324*o + 276 = 0.
2/21, 1, 2, 23
Let t**4 - 130*t**3 + 128*t**2 + 130*t - 129 = 0. Calculate t.
-1, 1, 129
Find m such that 4*m**3 + 24*m**2 + 48*m + 32 = 0.
-2
Find m such that 45*m**5/2 - 897*m**4 - 1065*m**3 + 774*m**2 + 2085*m/2 + 123 = 0.
-1, -2/15, 1, 41
Determine i so that -2*i**2/17 + 4*i/17 - 2/17 = 0.
1
Factor 3*n**3 + 1122*n**2 - 16149*n + 57036.
3*(n - 7)**2*(n + 388)
Solve -4*o**5 - 228*o**4 - 4088*o**3 - 18080*o**2 + 86400*o - 64000 = 0 for o.
-20, 1, 2
Let 56*f**3/3 + 37*f**2 + 18*f - 1/3 = 0. Calculate f.
-1, 1/56
Let -3796416*t**5 - 15112656*t**4 - 14894100*t**3 + 290161*t**2 - 1868*t + 4 = 0. What is t?
-2, 1/156
Factor -d**4/2 + 7*d**2/2 - 3*d.
-d*(d - 2)*(d - 1)*(d + 3)/2
Let -n**5/7 + 5*n**4/7 - 6*n**3/7 - 2*n**2/7 + n - 3/7 = 0. Calculate n.
-1, 1, 3
Suppose 5*i**3 + 35*i**2 + 75*i + 45 = 0. What is i?
-3, -1
Factor -5*m**3 + 90*m**2 - 345*m + 260.
-5*(m - 13)*(m - 4)*(m - 1)
What is w in -2*w**5 - w**4/2 + 6*w**3 - 5*w**2/2 - w = 0?
-2, -1/4, 0, 1
Factor 15*w**4 - 2350*w**3 + 123240*w**2 - 2190240*w + 1406080.
5*(w - 52)**3*(3*w - 2)
Factor 5*u**4 - 17910*u**3 + 16056300*u**2 - 32041000*u.
5*u*(u - 1790)**2*(u - 2)
Factor 2*g**4 + 44*g**3 + 234*g**2 + 40*g - 1400.
2*(g - 2)*(g + 5)**2*(g + 14)
Find x such that -x**5/8 - 131*x**4/8 - 4355*x**3/8 - 4225*x**2/8 = 0.
-65, -1, 0
Find q such that 2*q**3 - 8*q**2 - 8*q + 32 = 0.
-2, 2, 4
Determine j, given that 3*j**3 + 69*j**2 + 129*j + 63 = 0.
-21, -1
Factor -2*q**3/5 + 424*q**2/5 - 498*q + 3708/5.
-2*(q - 206)*(q - 3)**2/5
Factor -14*r**2/13 - 244*r/13 - 432/13.
-2*(r + 2)*(7*r + 108)/13
Let o**2/3 - 43*o/3 - 44/3 = 0. Calculate o.
-1, 44
Determine d, given that -2*d**5/9 - 292*d**4/9 + 602*d**3/3 - 304*d**2 = 0.
-152, 0, 3
Factor -4*p**3 - 120*p**2 - 1152*p - 3456.
-4*(p + 6)*(p + 12)**2
Factor c**3/2 - 955*c**2/6 - 1282*c/3 - 214.
(c - 321)*(c + 2)*(3*c + 2)/6
Find c, given that -2*c**4/9 + 130*c**3/9 + 142*c**2/9 - 74*c + 44 = 0.
-3, 1, 66
Suppose 4*y**3 + 28*y**2 + 24*y = 0. What is y?
-6, -1, 0
Factor -12*o**2 - 1016*o - 672.
-4*(o + 84)*(3*o + 2)
Suppose 4*x**5 + 297*x**4/2 + 3469*x**3/2 + 9893*x**2/2 - 33969*x/2 - 2197 = 0. Calculate x.
-13, -1/8, 2
Solve -4*g**3 + 496*g**2 - 4660*g + 11400 = 0.
5, 114
Factor 4*c**2 - 92*c + 88.
4*(c - 22)*(c - 1)
Solve 3*c**5/5 + 6*c**4/5 = 0 for c.
-2, 0
Factor 24*a**2 - 196*a + 120.
4*(2*a - 15)*(3*a - 2)
Factor j**2 - 5*j - 150.
(j - 15)*(j + 10)
Factor 9*s**2 + 156*s + 192.
3*(s + 16)*(3*s + 4)
Find q, given that -q**5/3 + 28*q**4/3 - 55*q**3 + 398*q**2/3 - 428*q/3 + 56 = 0.
1, 2, 21
Factor -4*g**2/3 + 16*g/3 + 20/3.
-4*(g - 5)*(g + 1)/3
Factor -v**2 - 398*v - 39601.
-(v + 199)**2
Solve 3*s**5/2 + 147*s**4 + 7485*s**3/2 + 6765*s**2 - 3744*s - 6912 = 0 for s.
-48, -2