4, 3
Let -3*n**5/4 - 9*n**4/4 + 21*n**3/2 + 27*n**2/2 - 39*n/4 - 45/4 = 0. Calculate n.
-5, -1, 1, 3
Factor -2*n**3 - 10*n**2 + 16*n + 96.
-2*(n - 3)*(n + 4)**2
Determine f so that -3*f**2 - 6264*f - 3269808 = 0.
-1044
Find w, given that -392*w**4/11 + 1624*w**3/11 - 1794*w**2/11 + 232*w/11 - 8/11 = 0.
1/14, 2
Suppose 2*w**3/15 - 36*w**2/5 + 176*w/3 = 0. What is w?
0, 10, 44
Factor -2*k**3/19 + 66*k**2/19 - 510*k/19 + 1150/19.
-2*(k - 23)*(k - 5)**2/19
Find j such that -j**2/3 + 53*j/3 = 0.
0, 53
Let 5*n**4 - 10*n**3 - 20*n**2 + 40*n = 0. Calculate n.
-2, 0, 2
Factor 3*h**3/4 + 6*h**2 + 9*h.
3*h*(h + 2)*(h + 6)/4
Let 20*c**4 + 480*c**3 + 3385*c**2 + 8595*c + 5670 = 0. What is c?
-14, -9/2, -1
Suppose -w**2/3 + 3*w + 54 = 0. What is w?
-9, 18
Let -6*l**4 + 622*l**3/7 - 1476*l**2/7 + 704*l/7 + 192/7 = 0. What is l?
-4/21, 1, 2, 12
Factor u**3/4 + 213*u**2/4 + 11235*u/4 - 11449/4.
(u - 1)*(u + 107)**2/4
Factor -y**4/2 - 11*y**3/2 - 12*y**2.
-y**2*(y + 3)*(y + 8)/2
What is r in -20*r**4 - 1808*r**3 - 700*r**2 + 1808*r + 720 = 0?
-90, -1, -2/5, 1
Factor -4*b**4 + 16*b**3 - 20*b**2 + 8*b.
-4*b*(b - 2)*(b - 1)**2
Factor -2*a**4/19 - 10*a**3/19 - 12*a**2/19 + 8*a/19 + 16/19.
-2*(a - 1)*(a + 2)**3/19
Suppose -3*s**5/7 + 45*s**4 - 13185*s**3/7 + 274965*s**2/7 - 2856600*s/7 + 11826324/7 = 0. Calculate s.
18, 23
Let -2*d**5/7 + 16*d**4/7 - 2*d**3 = 0. Calculate d.
0, 1, 7
What is a in -a**2 - 2683*a/7 - 766/7 = 0?
-383, -2/7
Factor b**2 - 93*b - 388.
(b - 97)*(b + 4)
Factor 5*g**5 + 95*g**4 - 315*g**3 + 325*g**2 - 110*g.
5*g*(g - 1)**3*(g + 22)
Suppose -2*o**2/15 - 28*o/15 + 34/5 = 0. Calculate o.
-17, 3
Factor -2*i**2/5 + 666*i/5.
-2*i*(i - 333)/5
Solve -w**2/5 - 52*w/5 - 676/5 = 0 for w.
-26
Let -w**3/4 - 13*w**2/4 - 4*w + 48 = 0. Calculate w.
-8, 3
Factor 5*s**2 - 70*s + 65.
5*(s - 13)*(s - 1)
Factor 2*w**4/9 - 544*w**3/9 + 542*w**2/9.
2*w**2*(w - 271)*(w - 1)/9
Determine f, given that 20*f**4/3 - 212*f**3/3 + 272*f**2/3 + 48*f = 0.
-2/5, 0, 2, 9
Factor -2*d**3/17 + 24*d**2/17 + 18*d + 280/17.
-2*(d - 20)*(d + 1)*(d + 7)/17
Find m, given that -3*m**3/5 - 918*m**2/5 - 70227*m/5 = 0.
-153, 0
Determine d, given that 2*d**4/5 - 52*d**3/5 - 22*d**2 - 56*d/5 = 0.
-1, 0, 28
Factor 2*x**2 + 12860*x + 20672450.
2*(x + 3215)**2
Solve y**4/5 + 16*y**3/5 - 49*y**2/5 - 244*y/5 - 36 = 0 for y.
-18, -2, -1, 5
Factor -v**2/5 - 118*v/5 - 3481/5.
-(v + 59)**2/5
Suppose 2*o**4/3 - 130*o**3/3 + 724*o**2 - 1792*o/3 - 4096/3 = 0. What is o?
-1, 2, 32
What is f in -f**5/6 - 17*f**4/2 - 47*f**3/6 + 151*f**2/6 + 8*f - 50/3 = 0?
-50, -2, -1, 1
Determine t so that -2*t**4 - 8*t**3 - 6*t**2 = 0.
-3, -1, 0
Suppose -3*c**2 - 549*c + 2244 = 0. What is c?
-187, 4
Factor f**4/9 + 19*f**3/9 + 101*f**2/9 + 149*f/9 + 22/3.
(f + 1)**2*(f + 6)*(f + 11)/9
Factor -8*l**4 + 1956*l**3 - 1953*l**2/2 + 122*l.
-l*(l - 244)*(4*l - 1)**2/2
Factor -4*z**2/9 + 124*z/9 + 128/9.
-4*(z - 32)*(z + 1)/9
Find w, given that -1089*w**3/5 - 4994*w**2/5 - 1248*w - 1152/5 = 0.
-24/11, -2/9
Suppose -z**5/2 - 9*z**4/2 - 4*z**3 = 0. What is z?
-8, -1, 0
Find p, given that 2*p**5/19 + 34*p**4/19 + 86*p**3/19 - 482*p**2/19 + 560*p/19 - 200/19 = 0.
-10, 1
Factor -3*c**4/5 - 294*c**3/5 - 10731*c**2/5 - 172872*c/5 - 1037232/5.
-3*(c + 21)**2*(c + 28)**2/5
Find y such that 125*y**5/4 - 25*y**4/4 - 220*y**3 + 240*y**2 = 0.
-3, 0, 8/5
Determine d so that 891*d**4 - 897*d**3 + 6*d**2 = 0.
0, 2/297, 1
Factor -2*l**2 - 8*l - 6.
-2*(l + 1)*(l + 3)
Suppose -s**5/6 + 8*s**4/3 - 12*s**3 + 11*s**2/3 + 329*s/6 - 49 = 0. What is s?
-2, 1, 3, 7
Solve 2*p**2/19 + 34*p/19 + 84/19 = 0 for p.
-14, -3
Determine i so that 4*i**3 + 312*i**2 + 612*i + 304 = 0.
-76, -1
Solve z**3/8 - 5*z**2/8 + 3*z/4 = 0 for z.
0, 2, 3
Factor -2*t**2 + 64*t - 270.
-2*(t - 27)*(t - 5)
Factor -l**2/4 + 111*l/4 - 81.
-(l - 108)*(l - 3)/4
Factor 2*b**2/3 - 352*b/3 + 15488/3.
2*(b - 88)**2/3
Factor -2*c**3 - 1558*c**2 - 304198*c - 302642.
-2*(c + 1)*(c + 389)**2
Factor -5*y**3 - 22*y**2 + 17*y + 10.
-(y - 1)*(y + 5)*(5*y + 2)
Factor -10*w**3 - 75*w**2 + 1840*w - 900.
-5*(w - 10)*(w + 18)*(2*w - 1)
Suppose q**2/2 + 104*q + 5408 = 0. What is q?
-104
Find q such that 2*q**3 + 2386*q**2 = 0.
-1193, 0
Determine o, given that -2*o**4/7 - 6*o**3/7 - 4*o**2/7 = 0.
-2, -1, 0
Factor -m**3/6 + 167*m**2/2 + m/6 - 167/2.
-(m - 501)*(m - 1)*(m + 1)/6
Suppose -39*t**4/2 + 3*t**3/2 + 39*t**2/2 - 3*t/2 = 0. What is t?
-1, 0, 1/13, 1
Factor 5*a**3 - 15*a**2 - 45*a - 25.
5*(a - 5)*(a + 1)**2
Factor -2*q**3 - 16*q**2 + 18*q.
-2*q*(q - 1)*(q + 9)
Let -6*c**4/7 + 132*c**3/7 + 762*c**2/7 + 1272*c/7 + 648/7 = 0. What is c?
-2, -1, 27
Factor j**2 + 60*j - 325.
(j - 5)*(j + 65)
Factor 2*r**4 + 362*r**3 + 15816*r**2 - 52256*r - 67712.
2*(r - 4)*(r + 1)*(r + 92)**2
Factor -121*q**4 + 572*q**3 + 237*q**2 - 376*q + 80.
-(q - 5)*(q + 1)*(11*q - 4)**2
Factor -2*r**2/7 - 150*r/7.
-2*r*(r + 75)/7
Factor -o**3 + 320*o**2 - 319*o.
-o*(o - 319)*(o - 1)
Let 72*z**4/7 + 96*z**3/7 - 58*z**2 - 142*z/7 - 12/7 = 0. Calculate z.
-3, -1/6, 2
Factor 4*v**5/3 - 472*v**4/3 + 4316*v**3 + 57584*v**2/3 + 59536*v/3.
4*v*(v - 61)**2*(v + 2)**2/3
Determine f so that 10*f**3/3 + 4*f**2/3 - 2*f = 0.
-1, 0, 3/5
Factor 2*d**5 + 52*d**4 - 228*d**3 + 352*d**2 - 238*d + 60.
2*(d - 1)**4*(d + 30)
Suppose -2*x**4 - 14*x**3 - 8*x**2 + 24*x = 0. Calculate x.
-6, -2, 0, 1
Factor 2*v**3 - 236*v**2 - 478*v - 240.
2*(v - 120)*(v + 1)**2
Let 5*x**5 + 100*x**4 + 635*x**3 + 1260*x**2 = 0. Calculate x.
-9, -7, -4, 0
Solve -2*m**4/7 - 4*m**3 + 142*m**2/7 + 240*m - 7200/7 = 0.
-12, 5
Factor 28*d**3 - 8392*d**2 + 22548*d + 7128.
4*(d - 297)*(d - 3)*(7*d + 2)
Factor -5*t**4 - 70*t**3 + 540*t**2 - 1160*t + 800.
-5*(t - 2)**3*(t + 20)
Factor 3*l**3/2 + 351*l**2/2 + 2046*l + 1872.
3*(l + 1)*(l + 12)*(l + 104)/2
Determine o so that -5*o**4 + 60*o**3 - 225*o**2 + 290*o - 120 = 0.
1, 4, 6
Let 2*r**2/5 - 6*r + 112/5 = 0. What is r?
7, 8
Suppose 2*k**4 - 20*k**3 - 134*k**2 - 232*k - 120 = 0. Calculate k.
-2, -1, 15
Solve -2*p**4/9 + 26*p**3/9 + 2*p**2/9 - 26*p/9 = 0 for p.
-1, 0, 1, 13
Find w such that 4*w**2/3 + 5512*w/3 + 1836 = 0.
-1377, -1
Solve -g**3 + 15*g**2 + 18*g - 32 = 0.
-2, 1, 16
Find i, given that i**2 + 305*i - 614 = 0.
-307, 2
Factor 3*o**4/7 - 27*o**3 + 4140*o**2/7 - 34800*o/7 + 72000/7.
3*(o - 20)**3*(o - 3)/7
Factor -f**3 - 1343*f**2 - 451583*f - 450241.
-(f + 1)*(f + 671)**2
Find i such that -3*i**5 - 513*i**4 - 29241*i**3 - 555579*i**2 = 0.
-57, 0
Solve -4*f**5/7 - 12*f**4/7 + 4*f**3/7 + 44*f**2/7 + 48*f/7 + 16/7 = 0 for f.
-2, -1, 2
Factor 3*n**3 + 45*n**2 - 48*n.
3*n*(n - 1)*(n + 16)
Let 4*j**5/7 - 8*j**4 - 468*j**3/7 - 40*j**2 + 800*j/7 = 0. What is j?
-5, -2, 0, 1, 20
Factor 3*g**3 + 3*g**2 - 12*g - 12.
3*(g - 2)*(g + 1)*(g + 2)
Let 4*c**5 + 54*c**4 + 236*c**3 + 414*c**2 + 252*c = 0. Calculate c.
-7, -3, -2, -3/2, 0
Find s such that 5000*s**4/9 - 20200*s**3/9 + 6934*s**2/3 - 808*s/9 + 8/9 = 0.
1/50, 2
Factor 22201*m**4/2 - 444467*m**3 + 8916169*m**2/2 - 178980*m + 1800.
(m - 20)**2*(149*m - 3)**2/2
Suppose y**4/2 + 77*y**3/2 + 38*y**2 = 0. What is y?
-76, -1, 0
Factor 2*t**4 - 18*t**2 + 8*t + 24.
2*(t - 2)**2*(t + 1)*(t + 3)
Suppose 4*w**4 - 52*w**3 + 164*w**2 - 188*w + 72 = 0. Calculate w.
1, 2, 9
Suppose 3*p**5 - 3*p**4 - 21*p**3 + 39*p**2 - 18*p = 0. What is p?
-3, 0, 1, 2
Let -4*r**5/11 + 18*r**4/11 - 2*r**3 + 8*r/11 = 0. Calculate r.
-1/2, 0, 1, 2
Factor 3*p**3/4 - 57*p**2/2 + 261*p - 702.
3*(p - 26)*(p - 6)**2/4
Solve -2*w**2/9 + 2*w/9 + 4/9 = 0 for w.
-1, 2
Factor j**4/3 - 68*j**3/3 + 1702*j**2/3 - 6188*j + 24843.
(j - 21)**2*(j - 13)**2/3
Factor 5*k**4/4 - 4289*k**3/2 + 919347*k**2 + 368082*k.
k*(k - 858)**2*(5*k + 2)/4
Factor f**3/4 - 373*f**2/4 - 187*f/2.
f*(f - 374)*(f + 1)/4
Determine y, given that y**2/6 + 1193*y/6 - 1195/3 = 0.
-1195, 2
Suppose -6*f**5/13 - 64*f**4/13 - 82*f**3/13 + 80*f**2/13 + 72*f/13 = 0. What is f?
-9, -2, -2/3, 0, 1
Solve 4*q**2/7 - 116*q/7 + 760/7 = 0 for q.
10, 19
Suppose 19683*v**3/10 - 4374*v**2/5 + 648*v/5 - 32/5 = 0. What is v?
4/27
What is l in -45*l**4 + 12*l**3 + 207*l**2 + 198*l + 48 = 0?
-1, -2/5, 8/3
Suppose 2*n**3/3 + 92*n**2/3 = 0. What is n?
-46, 0
Factor -400*t**4 + 920*t**3 - 132*t**2 - 4598*t/5 + 2662/5.
-2*(t + 1)*(10*t - 11)**3/5
Determine q, given that 5*q**5 - 