24*f/5.
4*f*(f - 32)*(f + 8)/5
Factor -4*w**2/9 + 896*w/3 - 50176.
-4*(w - 336)**2/9
Factor 5*r**3 - 295*r**2 + 570*r.
5*r*(r - 57)*(r - 2)
Determine w, given that w**4 + 754*w**3 + 141372*w**2 - 285768*w = 0.
-378, 0, 2
Suppose -w**4 + 47*w**3 - 681*w**2 + 2413*w + 7942 = 0. What is w?
-2, 11, 19
Factor -50*j**2/11 + 14*j/11.
-2*j*(25*j - 7)/11
Determine z so that -20*z**4 - 22*z**3 + 38*z**2 + 4*z = 0.
-2, -1/10, 0, 1
Factor -2*d**2/5 - 278*d/5 - 2096/5.
-2*(d + 8)*(d + 131)/5
Solve -3*t**2 + 477*t - 474 = 0 for t.
1, 158
Solve 3*w**2 - 5259*w + 10506 = 0.
2, 1751
Let 3*g**3/5 - 9*g**2/5 - 12*g/5 = 0. Calculate g.
-1, 0, 4
Determine v, given that 3*v**5 - 106*v**4 + 900*v**3 + 648*v**2 = 0.
-2/3, 0, 18
Let 2*f**4 - 366*f**3 + 22326*f**2 - 453962*f = 0. What is f?
0, 61
Factor 2*b**2 + 6*b.
2*b*(b + 3)
Find j, given that -2*j**4 + 492*j**3 - 32994*j**2 + 328536*j = 0.
0, 12, 117
Determine g, given that -3*g**3 - 138*g**2 - 744*g - 960 = 0.
-40, -4, -2
Find c, given that -c**2 + 1319*c - 5260 = 0.
4, 1315
Factor n**5/5 - 8*n**4/5 + 4*n**3/5 + 26*n**2/5 - 37*n/5 + 14/5.
(n - 7)*(n - 1)**3*(n + 2)/5
Factor 2*f**4 + 76*f**3 + 720*f**2 - 76*f - 722.
2*(f - 1)*(f + 1)*(f + 19)**2
Find a such that 7*a**4/4 + 27*a**3/2 + 103*a**2/4 + 9*a - 5 = 0.
-5, -2, -1, 2/7
Suppose -2*a**2 - 1012*a - 128018 = 0. What is a?
-253
Factor 4*i**2/5 - 536*i + 89780.
4*(i - 335)**2/5
Factor -i**4/2 - 352*i**3/3 - 9204*i**2 - 243360*i - 158184.
-(i + 78)**3*(3*i + 2)/6
Suppose 1053*c**3/4 - 2421*c**2/4 + 370*c - 25 = 0. What is c?
1/13, 10/9
Solve -t**5 - 626*t**4 - 11052*t**3 - 65880*t**2 - 131328*t = 0 for t.
-608, -6, 0
Let 2*v**2 + 1256*v + 197192 = 0. Calculate v.
-314
Factor -2*k**3/11 + 640*k**2/11 - 51834*k/11 + 101124/11.
-2*(k - 159)**2*(k - 2)/11
Factor -15*w**2/2 + 573*w/4 - 57/4.
-3*(w - 19)*(10*w - 1)/4
Factor -5*t**5 + 30*t**3 - 40*t**2 + 15*t.
-5*t*(t - 1)**3*(t + 3)
Find d such that 2*d**5 - 236*d**4 - 966*d**3 - 1216*d**2 - 488*d = 0.
-2, -1, 0, 122
Determine f so that -2*f**3/3 - 104*f**2/5 + 598*f/15 + 44/5 = 0.
-33, -1/5, 2
Determine t, given that -4*t**5 + 48*t**4 - 44*t**3 = 0.
0, 1, 11
Suppose k**4/4 + 1082*k**3 + 1756086*k**2 + 1266723368*k + 342648671044 = 0. Calculate k.
-1082
Solve -k**5 - 39*k**4 - 98*k**3 + 1690*k**2 + 7875*k + 6125 = 0.
-35, -5, -1, 7
Factor 5*d**4 - 815*d**3 + 3990*d**2 - 6340*d + 3160.
5*(d - 158)*(d - 2)**2*(d - 1)
Factor p**2/2 + p/4 - 55/4.
(p - 5)*(2*p + 11)/4
Factor 2*j**3/13 + 766*j**2/13 - 7810*j/13 + 19650/13.
2*(j - 5)**2*(j + 393)/13
Solve n**3 + 22*n**2 - 47*n + 24 = 0.
-24, 1
Solve 20*g**5/13 + 74*g**4/13 + 80*g**3/13 + 24*g**2/13 = 0.
-2, -6/5, -1/2, 0
Suppose o**4/6 - 5*o**3/3 + 5*o**2/6 + 50*o/3 - 16 = 0. What is o?
-3, 1, 4, 8
Let -86*k**3/3 - 1646*k**2/9 - 592*k/9 - 8/3 = 0. Calculate k.
-6, -1/3, -2/43
Suppose -2*b**2 - 22*b - 20 = 0. Calculate b.
-10, -1
Let -15*b**4/2 - 7*b**3 + 3*b**2/2 + b = 0. Calculate b.
-1, -1/3, 0, 2/5
Determine a, given that 4*a**4 - 368*a**3/7 + 24*a**2/7 + 368*a/7 - 52/7 = 0.
-1, 1/7, 1, 13
Factor -n**2/5 + 24*n/5 + 5.
-(n - 25)*(n + 1)/5
Factor 2*n**3/15 + 8*n**2/5 - 18*n/5 + 28/15.
2*(n - 1)**2*(n + 14)/15
Suppose 6*a**4/11 - 142*a**3/11 - 784*a**2/11 + 1592*a/11 - 672/11 = 0. What is a?
-6, 2/3, 1, 28
Find b such that 5*b**5 + 20*b**4 + 15*b**3 = 0.
-3, -1, 0
Factor -5*r**4 - 125*r**3 + 155*r**2 + 665*r + 390.
-5*(r - 3)*(r + 1)**2*(r + 26)
Factor -2*s**3/9 + 40*s**2/9 + 24*s - 64.
-2*(s - 24)*(s - 2)*(s + 6)/9
Find h, given that 4*h**5 + 92*h**4 - 116*h**3 - 492*h**2 - 288*h = 0.
-24, -1, 0, 3
Determine i, given that 2*i**4 + 8*i**3 + 6*i**2 - 8*i - 8 = 0.
-2, -1, 1
Factor -5*i**3 + 220*i**2 + 5*i - 220.
-5*(i - 44)*(i - 1)*(i + 1)
Factor -5*p**2 + 1010*p - 5880.
-5*(p - 196)*(p - 6)
Factor -3*h**5 + 69*h**4 - 228*h**3.
-3*h**3*(h - 19)*(h - 4)
Factor -h**3 - 58*h**2 - 113*h - 56.
-(h + 1)**2*(h + 56)
Determine h, given that 3*h**4 + 96*h**3 + 1134*h**2 + 5880*h + 11319 = 0.
-11, -7
Factor f**2 + 2*f - 3.
(f - 1)*(f + 3)
Suppose 4*h**5 - 80*h**4 - 92*h**3 + 168*h**2 = 0. Calculate h.
-2, 0, 1, 21
Factor n**5 + 2*n**4 - 12*n**3 + 14*n**2 - 5*n.
n*(n - 1)**3*(n + 5)
Factor 28*z**4 + 404*z**3 + 488*z**2 - 416*z.
4*z*(z + 2)*(z + 13)*(7*z - 4)
Suppose 3*f**3/5 + 51*f**2/5 - 336*f/5 - 6468/5 = 0. Calculate f.
-14, 11
Suppose -y**3/5 - 3*y**2/5 - 2*y/5 = 0. Calculate y.
-2, -1, 0
Factor 3*m**4 - 954*m**3 + 73911*m**2 + 307188*m + 311052.
3*(m - 161)**2*(m + 2)**2
Suppose 3*v**5 - 3*v**4 - 111*v**3 - 105*v**2 = 0. What is v?
-5, -1, 0, 7
Factor 3*z**2 + 345*z + 678.
3*(z + 2)*(z + 113)
Factor d**2/8 + 433*d/2 + 187489/2.
(d + 866)**2/8
Find w, given that -2*w**4 - 10*w**3 - 12*w**2 = 0.
-3, -2, 0
Factor 9*v**4/8 + 151*v**3/8 + 253*v**2/4 - 15*v.
v*(v + 5)*(v + 12)*(9*v - 2)/8
What is q in -q**2 - 504*q + 505 = 0?
-505, 1
Let 5*x**2 + 13880*x + 9632720 = 0. Calculate x.
-1388
Factor 20*u**4 + 88*u**3 - 208*u**2 - 96*u.
4*u*(u - 2)*(u + 6)*(5*u + 2)
Suppose 4*a**5/7 - 34*a**4/7 + 6*a**3 + 2*a**2/7 - 2*a = 0. What is a?
-1/2, 0, 1, 7
Let -i**2/6 - 1673*i - 8396787/2 = 0. What is i?
-5019
Find a such that -4*a**4 - 8*a**3 + 4*a**2 + 8*a = 0.
-2, -1, 0, 1
What is s in -3*s**3 + 42*s**2 + 96*s = 0?
-2, 0, 16
Suppose 3*y**3 - 21*y**2 - 120*y - 132 = 0. Calculate y.
-2, 11
Find a such that -3*a**2 - 213*a - 3234 = 0.
-49, -22
Factor -3*p**3 + 114*p**2.
-3*p**2*(p - 38)
Factor -4*v**2 - 4*v + 8.
-4*(v - 1)*(v + 2)
Find k such that 2*k**4/9 - 46*k**3/9 - 24*k**2 = 0.
-4, 0, 27
Solve -h**2/11 - 53*h/11 - 36 = 0.
-44, -9
Factor 2*a**5/5 + 6*a**4/5 - 108*a**3/5.
2*a**3*(a - 6)*(a + 9)/5
Find u such that -2*u**4/5 + 6*u**3/5 + 22*u**2 + 282*u/5 + 36 = 0.
-3, -1, 10
Determine v, given that -v**3/2 + 31*v**2/2 - 187*v/2 - 867/2 = 0.
-3, 17
Factor -35*h**3 - 115*h**2 + 950*h + 280.
-5*(h - 4)*(h + 7)*(7*h + 2)
Let b**3/5 - 1141*b**2/5 + 65208*b - 64980 = 0. What is b?
1, 570
Suppose z**3 + 2*z**2 - 1044*z + 12312 = 0. What is z?
-38, 18
Factor b**3/3 + 916*b**2/3 - b/3 - 916/3.
(b - 1)*(b + 1)*(b + 916)/3
What is o in -o**3/7 + 8*o**2/7 - 5*o/7 - 2 = 0?
-1, 2, 7
Let 2597*j**3/2 + 6727*j**2 + 8838*j + 324 = 0. Calculate j.
-18/7, -2/53
Factor 5*s**2 - 995*s + 990.
5*(s - 198)*(s - 1)
Solve -b**2/2 + 471*b/2 - 469 = 0 for b.
2, 469
Factor -2*i**2/17 + 118*i/17 - 116/17.
-2*(i - 58)*(i - 1)/17
Solve 6*i**3 + 51*i**2 + 114*i + 45 = 0.
-5, -3, -1/2
Factor -6*d**5 + 16*d**4 - 8*d**3.
-2*d**3*(d - 2)*(3*d - 2)
What is b in -3*b**4/5 + 3042*b**3/5 - 206244*b**2 + 117884622*b/5 - 344454777/5 = 0?
3, 337
Factor 4*q**2 + 760*q + 36100.
4*(q + 95)**2
Factor 14*r**4 - 7626*r**3 - 2180*r**2.
2*r**2*(r - 545)*(7*r + 2)
Factor l**5/4 - 3*l**3/4 - l**2/2.
l**2*(l - 2)*(l + 1)**2/4
Find h such that -5*h**2 + 210*h - 1360 = 0.
8, 34
Let -4*x**3 + 216*x**2 - 2688*x - 6272 = 0. Calculate x.
-2, 28
Factor 4*c**4 + 4*c**3 - 20*c**2 + 12*c.
4*c*(c - 1)**2*(c + 3)
Suppose 5*z**4/3 - 50*z**2/3 + 15 = 0. What is z?
-3, -1, 1, 3
What is k in -22*k**5 + 84*k**4 - 50*k**3 - 100*k**2 + 72*k + 16 = 0?
-1, -2/11, 1, 2
Solve n**3/4 - 185*n**2/2 + 9000*n - 81000 = 0.
10, 180
Let y**5/7 - 8*y**4/7 = 0. Calculate y.
0, 8
Factor -5*y**2 - 5*y + 30.
-5*(y - 2)*(y + 3)
Factor 2*z**2 - 40*z.
2*z*(z - 20)
Determine t, given that 5*t**4 + 40*t**3 - 45*t**2 = 0.
-9, 0, 1
Suppose 4*f**4 + 24*f**3 - 32*f**2 - 24*f + 28 = 0. What is f?
-7, -1, 1
Factor 3*z**3 + 40*z**2 - 124*z + 64.
(z - 2)*(z + 16)*(3*z - 2)
Suppose 2*p**4/3 - 37*p**3/6 + 35*p**2/2 - 52*p/3 + 10/3 = 0. What is p?
1/4, 2, 5
Factor -4*f**4 - 41*f**3 - 74*f**2 - 16*f.
-f*(f + 2)*(f + 8)*(4*f + 1)
Solve 20*v**5/3 + 99*v**4 - 367*v**3/3 + 6*v**2 + 32*v/3 = 0 for v.
-16, -1/4, 0, 2/5, 1
Determine k so that -20*k**5 + 495*k**4 - 1255*k**3 - 26445*k**2 + 20475*k + 6750 = 0.
-6, -1/4, 1, 15
What is p in -2*p**4 + 46*p**3 + 52*p**2 - 96*p = 0?
-2, 0, 1, 24
Factor 2*s**3/11 + 38*s**2/11 + 32*s/11 - 72/11.
2*(s - 1)*(s + 2)*(s + 18)/11
Factor 5*m**5 - 170*m**3 + 480*m**2 - 315*m.
5*m*(m - 3)**2*(m - 1)*(m + 7)
Factor -3*v**3/5 + 8*v**2/5 + v - 6/5.
-(v - 3)*(v + 1)*(3*v - 2)/5
What is x in 5*x**4 - 55*x**3 - 485*x**2 - 425*x = 0?
-5, -1, 0, 17
Determine g, given that 2*g**4/7 + 16*g**3/7 - 96*g**2/7 = 0.
-12, 0, 4
Factor q**2/2 + 49*q/2 - 51.
(q - 2)*(q + 51)/2
Factor 2*a**3 + 10