2*(y - 20)/7
Factor 2*f**2/3 + 742*f/3 - 248.
2*(f - 1)*(f + 372)/3
Suppose -2*b**2 + 7476*b - 6986322 = 0. What is b?
1869
Let h**3/3 + 1459*h**2/3 = 0. Calculate h.
-1459, 0
Factor -2*b**2/3 - 22*b/3 - 16.
-2*(b + 3)*(b + 8)/3
Factor 2*v**3 - 18*v**2 + 52*v - 48.
2*(v - 4)*(v - 3)*(v - 2)
Suppose 3*n**5/5 - 3*n**4/5 - 9*n**3 - 69*n**2/5 - 6*n = 0. What is n?
-2, -1, 0, 5
Factor j**2 - 47*j - 204.
(j - 51)*(j + 4)
Factor 4*a**4 - 12*a**3 + 12*a**2 - 4*a.
4*a*(a - 1)**3
Solve 5*v**2 + 11635*v = 0.
-2327, 0
Find g such that -2*g**4/3 - 94*g**3/3 - 1472*g**2/3 - 2560*g = 0.
-16, -15, 0
Factor -b**2/3 + 8*b/3 - 5.
-(b - 5)*(b - 3)/3
Suppose -h**5/4 - 85*h**4/4 - 249*h**3/4 - 247*h**2/4 - 41*h/2 = 0. Calculate h.
-82, -1, 0
Suppose -3*h**4/2 + 90*h**3 - 1977*h**2/2 + 3438*h - 2538 = 0. What is h?
1, 6, 47
Determine y, given that 5*y**3/3 - 5*y**2/3 - 100*y/3 = 0.
-4, 0, 5
Determine g, given that 4*g**3/5 + 28*g**2/5 - 32*g/5 = 0.
-8, 0, 1
Factor -c**4 + 2*c**3 + 3*c**2 - 4*c - 4.
-(c - 2)**2*(c + 1)**2
Factor -3*c**2 + 30*c.
-3*c*(c - 10)
Factor -5*u**4 - 1400*u**3 - 147000*u**2 - 6860000*u - 120050000.
-5*(u + 70)**4
Factor 6*o**3 - 33*o**2 + 12*o + 15.
3*(o - 5)*(o - 1)*(2*o + 1)
Factor -3*b**3/4 - 57*b**2/4 - 105*b/4 - 51/4.
-3*(b + 1)**2*(b + 17)/4
Determine k so that -3*k**4 + 42*k**3 - 108*k**2 - 168*k + 480 = 0.
-2, 2, 4, 10
Factor 2*p**3/13 - 76*p**2/13 + 952*p/13 - 3920/13.
2*(p - 14)**2*(p - 10)/13
What is t in -5*t**5 + 80*t**4 - 375*t**3 + 400*t**2 + 380*t - 480 = 0?
-1, 1, 2, 6, 8
Factor 2*a**2/9 - 124*a/9 + 1922/9.
2*(a - 31)**2/9
Factor w**4/3 + 2*w**3 - 3*w**2 - 14*w/3.
w*(w - 2)*(w + 1)*(w + 7)/3
Solve -5*v**3 + 20*v**2 + 100*v - 240 = 0 for v.
-4, 2, 6
Determine v, given that -14*v**3 + 1090*v**2 - 3024*v + 1800 = 0.
6/7, 2, 75
Determine y, given that -y**2 - 8*y - 7 = 0.
-7, -1
Let -5*p**4 + 45*p**3 - 135*p**2 + 155*p - 60 = 0. What is p?
1, 3, 4
Factor -21*a**2 + 321*a - 90.
-3*(a - 15)*(7*a - 2)
Factor 6*n**4 + 82*n**3 + 164*n**2 - 832*n + 256.
2*(n - 2)*(n + 8)**2*(3*n - 1)
Determine f, given that 8*f**5 - 4*f**4 - 996*f**3 - 1424*f**2 + 1456*f + 960 = 0.
-10, -2, -1/2, 1, 12
Factor a**2/3 + 53*a - 322/3.
(a - 2)*(a + 161)/3
What is h in h**3/6 + 355*h**2/6 = 0?
-355, 0
Factor 3*w**3 - 69*w**2/5 - 48*w - 84/5.
3*(w - 7)*(w + 2)*(5*w + 2)/5
Solve 2*u**3 + 24*u**2 + 96*u + 128 = 0.
-4
Find n such that -n**2 + 23*n - 42 = 0.
2, 21
Let -5*c**3 - 185*c**2 - 350*c = 0. Calculate c.
-35, -2, 0
Factor -2*h**2/5 - 6*h/5 - 4/5.
-2*(h + 1)*(h + 2)/5
Factor i**2/6 - 530*i/3 + 353/2.
(i - 1059)*(i - 1)/6
Solve -4*y**3 - 120*y**2 + 132*y + 248 = 0.
-31, -1, 2
Factor -2*p**3 + 12*p**2 - 22*p + 12.
-2*(p - 3)*(p - 2)*(p - 1)
Find o such that 4*o**4 + 320*o**3 + 8800*o**2 + 96000*o + 360000 = 0.
-30, -10
Factor 124*q**4/5 - 108*q**3/5 - 156*q**2/5 + 28*q.
4*q*(q - 1)**2*(31*q + 35)/5
Factor -12*d**3 + 82*d**2 - 184*d + 136.
-2*(d - 2)**2*(6*d - 17)
Suppose -k**4/2 + 17*k**3/2 - 21*k**2 - 2*k + 28 = 0. What is k?
-1, 2, 14
Factor -4*c**3 - 636*c**2 - 2496*c - 2480.
-4*(c + 2)**2*(c + 155)
Factor -15*d**2 + 29*d + 2.
-(d - 2)*(15*d + 1)
Factor 5*a**4 + 5*a**3 - 15*a**2 - 25*a - 10.
5*(a - 2)*(a + 1)**3
Suppose -2*i**4/3 + 23*i**3/3 - 10*i**2/3 - 347*i/3 - 56 = 0. What is i?
-3, -1/2, 7, 8
Factor 4*m**3 - 32*m**2 + 68*m - 40.
4*(m - 5)*(m - 2)*(m - 1)
Factor 2*j**3/5 + 228*j**2/5 + 886*j/5 + 132.
2*(j + 1)*(j + 3)*(j + 110)/5
Determine s so that -35*s**5 + 7955*s**4 + 38190*s**3 + 20920*s**2 - 9280*s = 0.
-4, -1, 0, 2/7, 232
Solve -5*j**3 - 1205*j**2 - 5920*j - 4720 = 0 for j.
-236, -4, -1
Solve -4*g**4 + 72*g**3 + 76*g**2 = 0 for g.
-1, 0, 19
Find d, given that -2*d**2 - 27*d/2 - 9 = 0.
-6, -3/4
Suppose -500*s**5/7 - 400*s**4/7 + 2060*s**3/7 + 1672*s**2/7 - 240*s/7 - 288/7 = 0. Calculate s.
-2, -3/5, 2/5, 2
Factor x**2/6 - 2432*x/3 + 2957312/3.
(x - 2432)**2/6
Let -2*g**5 + 30*g**4 + 36*g**3 - 1052*g**2 - 3234*g - 2178 = 0. Calculate g.
-3, -1, 11
Let 8*d**5/9 + 2*d**4/3 - 50*d**3/9 + 4*d**2/3 = 0. Calculate d.
-3, 0, 1/4, 2
Factor -v**2 - 71*v.
-v*(v + 71)
Solve 2*t**4/3 + 16*t**3/9 - 2*t**2/3 = 0 for t.
-3, 0, 1/3
Factor -2*f**2/7 - 472*f/7 + 1434/7.
-2*(f - 3)*(f + 239)/7
Determine s so that -5*s**3 + 15*s - 10 = 0.
-2, 1
Determine n, given that -5*n**5 - 55*n**4 - 180*n**3 - 80*n**2 + 320*n = 0.
-4, 0, 1
Determine b so that -2*b**3 - 500*b**2 - 31250*b = 0.
-125, 0
What is d in 18*d**5 + 69*d**4 + 14*d**3 - 133*d**2 - 132*d - 36 = 0?
-3, -1, -2/3, 3/2
What is w in 2*w**2 + 30*w - 32 = 0?
-16, 1
Factor 2*v**3/7 - 24*v**2 + 330*v/7 - 164/7.
2*(v - 82)*(v - 1)**2/7
Factor 2*f**3 - 78*f**2 - 2*f + 78.
2*(f - 39)*(f - 1)*(f + 1)
Factor a**4/3 - 2*a**3 - 23*a**2/3 + 20*a - 32/3.
(a - 8)*(a - 1)**2*(a + 4)/3
Factor 2*v**5 + 8*v**4 + 10*v**3 + 4*v**2.
2*v**2*(v + 1)**2*(v + 2)
Factor 10*m**2 + 37844*m + 15136.
2*(m + 3784)*(5*m + 2)
Let a**4/2 + 5*a**3/2 + 3*a**2 - 2*a - 4 = 0. What is a?
-2, 1
Factor 5*r**5 - 20*r**4 + 30*r**3 - 20*r**2 + 5*r.
5*r*(r - 1)**4
Factor 4*o**4/7 + 72*o**3 + 14292*o**2/7 - 14256*o + 156816/7.
4*(o - 3)**2*(o + 66)**2/7
Suppose 2*t**2/5 - 28*t/5 + 26/5 = 0. What is t?
1, 13
Let 18*d**4 + 87*d**3 + 57*d**2 - 12*d = 0. What is d?
-4, -1, 0, 1/6
Factor -2*j**2 + 12*j + 144.
-2*(j - 12)*(j + 6)
Find f such that -27*f**5/7 - 30*f**4 - 600*f**3/7 - 720*f**2/7 - 240*f/7 + 96/7 = 0.
-2, 2/9
Determine a, given that -a**4 + a**3 + 27*a**2 + 27*a - 54 = 0.
-3, 1, 6
Determine r, given that -4*r**2/3 - 84*r + 256/3 = 0.
-64, 1
Solve -2*g**2 - 408*g - 20808 = 0.
-102
What is m in -2*m**2/9 - 500*m/9 - 31250/9 = 0?
-125
What is p in p**5 - 17*p**4 + 61*p**3 + 117*p**2 - 162*p = 0?
-2, 0, 1, 9
Factor -3*t**2/7 - 15*t/7 + 18/7.
-3*(t - 1)*(t + 6)/7
Let -3*w**3/7 - 33*w**2 - 450*w/7 = 0. What is w?
-75, -2, 0
Determine o so that 4*o**4 + 420*o**3 + 1224*o**2 - 16*o - 1632 = 0.
-102, -2, 1
Factor m**3/3 + 185*m**2/3 + 8648*m/3 + 8464/3.
(m + 1)*(m + 92)**2/3
Determine t so that -t**4/2 - 15*t**3/2 + 10*t**2 + 30*t - 32 = 0.
-16, -2, 1, 2
Factor 3*o**3 + 6*o**2 - 108*o - 216.
3*(o - 6)*(o + 2)*(o + 6)
Find t such that -4*t**2/5 - 16*t - 80 = 0.
-10
Suppose 819*b**5 + 4520*b**4 + 5473*b**3 + 2064*b**2 + 308*b + 16 = 0. What is b?
-4, -1, -2/9, -2/13, -1/7
Find o, given that 192*o**3/5 + 432*o**2/5 + 99*o/5 + 6/5 = 0.
-2, -1/8
What is y in -2*y**5/13 + 250*y**4/13 - 9476*y**3/13 + 104708*y**2/13 - 391930*y/13 + 296450/13 = 0?
1, 7, 55
Factor -w**3/2 - 20*w**2 - 200*w.
-w*(w + 20)**2/2
Determine t so that t**2 - 75*t + 216 = 0.
3, 72
Factor 300*o**2/7 - 180*o/7 + 27/7.
3*(10*o - 3)**2/7
Factor 4*u**3/5 + 69*u**2/5 + 81*u/5 + 16/5.
(u + 1)*(u + 16)*(4*u + 1)/5
Factor -2*a**3/5 + 26*a**2/5 - 92*a/5 + 96/5.
-2*(a - 8)*(a - 3)*(a - 2)/5
Factor 244922500*c**2 - 125200*c + 16.
4*(7825*c - 2)**2
What is o in -3*o**3 + 24*o**2 - 57*o + 36 = 0?
1, 3, 4
Factor -3*z**2/2 - 105*z/2 - 375.
-3*(z + 10)*(z + 25)/2
Factor -3*h**3/2 - 13*h**2/2.
-h**2*(3*h + 13)/2
Factor 31*n**2/5 - 10*n - 24/5.
(n - 2)*(31*n + 12)/5
Factor 2*o**3 - 72*o**2 - 398*o - 492.
2*(o - 41)*(o + 2)*(o + 3)
Let -2*z**4 - 26*z**3 + 183*z**2/2 - 71*z + 16 = 0. Calculate z.
-16, 1/2, 2
Factor 4*f**4/5 + 1432*f**3 + 3196932*f**2/5 - 1283072*f + 3211264/5.
4*(f - 1)**2*(f + 896)**2/5
Find c, given that c**3/4 - 7*c**2/8 + c/4 + 3/8 = 0.
-1/2, 1, 3
Find o, given that -3*o**2/5 + 42*o/5 + 9 = 0.
-1, 15
Factor 3*i**2 - 84*i - 87.
3*(i - 29)*(i + 1)
Determine t so that -t**4 - 4*t**3 + 3*t**2 + 18*t = 0.
-3, 0, 2
Suppose 4*d**3 - 68*d**2 + 316*d - 252 = 0. What is d?
1, 7, 9
Let 2*b**3/5 - 6*b**2/5 + 4*b/5 = 0. Calculate b.
0, 1, 2
Determine l so that 605*l**2 - 5280*l + 11520 = 0.
48/11
Factor -z**5 + 24*z**4 + 51*z**3 + 26*z**2.
-z**2*(z - 26)*(z + 1)**2
Factor 3*r**2/7 - 270*r/7 + 6075/7.
3*(r - 45)**2/7
Solve 2205*i**4/4 - 105*i**3 + 5*i**2 = 0 for i.
0, 2/21
Solve -5*q**3 - 45*q**2 - 70*q = 0 for q.
-7, -2, 0
Find o such that o**3/2 + 14*o**2 + 77*o/2 + 25 = 0.
-25, -2, -1
Let -n**3/2 - 3*n**2/2 + 9*n = 0. Calculate n.
-6, 0, 3
Determine k so that 18*k**3 + 464*k**2 + 2938*k - 676 = 0.
-13, 2/9
Suppose s**5 - 27*s**4/5 + s**3 + 27*s**2/5 - 2*s = 0. Calculate s.
-1, 0, 2/5, 1, 5
Determine l, given that 5*l**4 + 1360*l**3 + 76310*l**2 - 2199120*l + 13073445 = 0.
-147, 11
Determine t so 