+ 49)*(7*v - 2)
Suppose -2*t**5/9 + 14*t**4/9 + 2*t**3/9 - 14*t**2/9 = 0. Calculate t.
-1, 0, 1, 7
Factor -3*k**3 - 2384*k**2 - 4765*k/3 - 794/3.
-(k + 794)*(3*k + 1)**2/3
Let -2*i**3/9 + 6*i**2 - 48*i + 96 = 0. What is i?
3, 12
Determine s, given that 21*s**5 + 120*s**4 + 153*s**3 + 30*s**2 - 24*s = 0.
-4, -1, 0, 2/7
Factor c**2 + 168*c + 167.
(c + 1)*(c + 167)
Suppose 2*b**3 + 10*b**2 = 0. Calculate b.
-5, 0
Factor -28*m**2 + 62*m - 30.
-2*(2*m - 3)*(7*m - 5)
Factor -p**3/3 - 14*p**2/3 - 40*p/3.
-p*(p + 4)*(p + 10)/3
Factor 5*v**3 - 780*v**2 + 31920*v - 115520.
5*(v - 76)**2*(v - 4)
Factor v**2/5 - 334*v/5.
v*(v - 334)/5
Suppose -3*d**4 - 273*d**3 - 264*d**2 + 540*d = 0. What is d?
-90, -2, 0, 1
Find q such that -q**4/7 - 4*q**3/7 + q**2 + 34*q/7 + 24/7 = 0.
-4, -2, -1, 3
Suppose -b**5/4 + 3*b**4/2 + 17*b**3/2 + 14*b**2 + 39*b/4 + 5/2 = 0. What is b?
-1, 10
Factor -2*c**2/3 - 14*c + 200/3.
-2*(c - 4)*(c + 25)/3
Factor 3*i**3 - 21*i**2 + 21*i + 45.
3*(i - 5)*(i - 3)*(i + 1)
Solve -2*z**4 - 4*z**3 + 8*z**2 + 4*z - 6 = 0.
-3, -1, 1
Factor -h**4/4 - 19*h**3/4 - 51*h**2/4 - 49*h/4 - 4.
-(h + 1)**3*(h + 16)/4
Solve -4*q**4 + 44*q**3 - 60*q**2 - 700*q + 2000 = 0.
-4, 5
Factor -5*z**3 + 1730*z**2 - 149645*z.
-5*z*(z - 173)**2
Let 2*t**2/5 - 1136*t/5 = 0. What is t?
0, 568
Factor g**4 - 4*g**3.
g**3*(g - 4)
Factor -2*i**3 + 16*i**2 - 26*i + 12.
-2*(i - 6)*(i - 1)**2
Determine c so that 2*c**2 - 158*c - 160 = 0.
-1, 80
Let -5*q**5 - 420*q**4 - 9220*q**3 - 16390*q**2 + 9225*q + 16810 = 0. What is q?
-41, -2, -1, 1
What is t in -3*t**5/7 - 342*t**4/7 = 0?
-114, 0
Let -2*a**5 + 35*a**4 - 158*a**3 - 88*a**2 + 1024*a + 512 = 0. What is a?
-2, -1/2, 4, 8
Solve 6*g**4 + 21*g**3 - 18*g**2 - 21*g + 12 = 0 for g.
-4, -1, 1/2, 1
Factor -36*d**5 - 24*d**4 + 44*d**3 + 16*d**2 - 16*d.
-4*d*(d + 1)**2*(3*d - 2)**2
Factor 3*y**4/4 - 153*y**3/4 + 468*y**2 + 507*y.
3*y*(y - 26)**2*(y + 1)/4
Factor -2*h**5 + 4*h**4 + 6*h**3 - 8*h**2 - 8*h.
-2*h*(h - 2)**2*(h + 1)**2
Determine z, given that -3*z**3/5 + 33*z**2/5 - 21*z/5 - 441/5 = 0.
-3, 7
What is l in l**2 - 2469*l/4 - 927/2 = 0?
-3/4, 618
Factor 4*u**2/7 + 108*u/7 + 104/7.
4*(u + 1)*(u + 26)/7
Find v such that 9*v**3 - 120*v**2 + 237*v - 66 = 0.
1/3, 2, 11
Solve 4*g**5 - 52*g**4/3 + 4*g**3/3 + 52*g**2/3 - 16*g/3 = 0 for g.
-1, 0, 1/3, 1, 4
Factor -3*b**4/7 - 12*b**3/7 + 6*b**2/7 + 36*b/7 - 27/7.
-3*(b - 1)**2*(b + 3)**2/7
Let -14*c**4 - 396*c**3 - 98*c**2 + 396*c + 112 = 0. What is c?
-28, -1, -2/7, 1
Factor 6*o**2/11 + 8*o/11 - 64/11.
2*(o + 4)*(3*o - 8)/11
Solve 30*v**4 + 148*v**3 + 200*v**2 + 76*v - 6 = 0 for v.
-3, -1, 1/15
Determine a so that -4*a**4 - 92*a**3 + 112*a**2 + 368*a - 384 = 0.
-24, -2, 1, 2
Find v such that 3*v**3 + 27*v**2 - 12*v - 108 = 0.
-9, -2, 2
Factor 21*o**2 + 990*o - 3159.
3*(o - 3)*(7*o + 351)
Factor -2*b**4/11 - 16*b**3/11 - 36*b**2/11 - 32*b/11 - 10/11.
-2*(b + 1)**3*(b + 5)/11
What is z in 2*z**2/3 - 8348*z/3 + 8711138/3 = 0?
2087
Factor 2*m**4/5 + 14*m**3/5 + 6*m**2 + 18*m/5.
2*m*(m + 1)*(m + 3)**2/5
Factor -5*z**3 - 1495*z**2 + 5*z + 1495.
-5*(z - 1)*(z + 1)*(z + 299)
Solve 5*q**5 + 5*q**4 - 110*q**3 + 10*q**2 + 345*q + 225 = 0.
-5, -1, 3
Factor -20*x**3 + 352*x**2 + 144*x.
-4*x*(x - 18)*(5*x + 2)
Factor -4*d**5 + 20*d**4 + 56*d**3 + 8*d**2 - 52*d - 28.
-4*(d - 7)*(d - 1)*(d + 1)**3
Solve -2*p**2/19 - 6964*p/19 + 6966/19 = 0 for p.
-3483, 1
Let -h**2/3 + 218*h + 1312/3 = 0. What is h?
-2, 656
Suppose -u**5 - 13*u**4 + 84*u**3 - 112*u**2 - 64*u + 144 = 0. Calculate u.
-18, -1, 2
Determine b, given that b**3 + 47*b**2 - 4*b - 188 = 0.
-47, -2, 2
Find u, given that -3*u**2/8 + 57*u/4 + 30 = 0.
-2, 40
Factor -4*r**5/9 - 160*r**4/3 - 472*r**3/3 - 1408*r**2/9 - 52*r.
-4*r*(r + 1)**3*(r + 117)/9
Factor 3*c**2/7 - 36*c/7 + 33/7.
3*(c - 11)*(c - 1)/7
Factor 201*v**3/2 - v**2/3 - 201*v/2 + 1/3.
(v - 1)*(v + 1)*(603*v - 2)/6
Factor 3*u**4/7 + 6*u**3/7 - 27*u**2/7 - 54*u/7.
3*u*(u - 3)*(u + 2)*(u + 3)/7
Factor 2*t**5/9 + 10*t**4/9 + 4*t**3/3.
2*t**3*(t + 2)*(t + 3)/9
Factor -r**3/6 + r**2 - 5*r/6.
-r*(r - 5)*(r - 1)/6
Suppose 5*w**4 + 125*w**3 + 1155*w**2 + 4655*w + 6860 = 0. Calculate w.
-7, -4
Factor -3*r**2/2 + 3*r + 105/2.
-3*(r - 7)*(r + 5)/2
Factor -4*a**3 + 28*a**2 + 1476*a + 8100.
-4*(a - 25)*(a + 9)**2
Factor -2*s**5 - 28*s**4 + 62*s**3 - 32*s**2.
-2*s**2*(s - 1)**2*(s + 16)
Determine w so that 2*w**2/13 - 34*w/13 + 60/13 = 0.
2, 15
Let -4*m**5 + 24*m**4 - 52*m**3 + 48*m**2 - 16*m = 0. What is m?
0, 1, 2
Factor 59*k**5/5 + 35*k**4 - 6*k**3/5.
k**3*(k + 3)*(59*k - 2)/5
Suppose -8*i**5 - 46*i**4 + 20*i**3 + 46*i**2 - 12*i = 0. What is i?
-6, -1, 0, 1/4, 1
Find k such that 2*k**5/7 + 20*k**4/7 + 40*k**3/7 - 20*k**2/7 - 6*k = 0.
-7, -3, -1, 0, 1
Factor 4*h**4 + 72*h**3 + 48*h**2 - 328*h + 204.
4*(h - 1)**2*(h + 3)*(h + 17)
What is p in -p**4/8 + 11*p**3/8 + 13*p**2/8 - 11*p/8 - 3/2 = 0?
-1, 1, 12
What is u in -3*u**4 + 27*u**3 = 0?
0, 9
Suppose -2*k**4 - 196*k**3 - 6242*k**2 - 70560*k - 259200 = 0. What is k?
-40, -9
Factor -3*n**2/2 - 117*n - 4563/2.
-3*(n + 39)**2/2
Suppose -c**3/6 + 3*c**2 - 11*c/2 + 8/3 = 0. Calculate c.
1, 16
Factor 4*x**3/7 + 108*x**2 - 1528*x/7.
4*x*(x - 2)*(x + 191)/7
Factor 3*p**2 - 15264*p + 19415808.
3*(p - 2544)**2
Suppose -162*y**4 + 504*y**3 + 1354*y**2 + 848*y + 160 = 0. Calculate y.
-1, -4/9, 5
Factor 2*g**2 + 256*g + 8192.
2*(g + 64)**2
Suppose -a**4/8 + 19*a**3/2 - 18*a**2 - 38*a + 74 = 0. Calculate a.
-2, 2, 74
Find w such that 5*w**4 + 400*w**3 + 785*w**2 + 390*w = 0.
-78, -1, 0
Factor 3*t**2 + 3*t - 60.
3*(t - 4)*(t + 5)
What is m in 5*m**2 - 120*m + 115 = 0?
1, 23
Solve -3*x**2 + 45*x + 102 = 0.
-2, 17
Factor 2*o**3/21 + 590*o**2/21.
2*o**2*(o + 295)/21
Factor -2*y**4/7 - 212*y**3/7 - 1080*y**2 - 13300*y - 12250.
-2*(y + 1)*(y + 35)**3/7
Factor 10*s**3 + 2*s**2 - 160*s - 32.
2*(s - 4)*(s + 4)*(5*s + 1)
Factor -3*s**3/2 - 114*s**2 - 447*s/2 - 111.
-3*(s + 1)**2*(s + 74)/2
Find u such that -2*u**5/7 + 12*u**3/7 - 16*u**2/7 + 6*u/7 = 0.
-3, 0, 1
Suppose 2*g**2/17 + 504*g/17 + 1000/17 = 0. What is g?
-250, -2
Factor s**4/2 - 20*s**3 + 246*s**2 - 720*s - 2592.
(s - 18)*(s - 12)**2*(s + 2)/2
What is s in -100*s**3 - 14235*s**2 + 9285*s - 1430 = 0?
-143, 1/4, 2/5
Solve 3*b**2 - 23472*b + 45911232 = 0.
3912
Determine i so that -3*i**3 - 489*i**2 + 16695*i - 130275 = 0.
-193, 15
Factor 111*h**3 + 6*h**2.
3*h**2*(37*h + 2)
Suppose 5*n**2 + 14520*n + 10541520 = 0. What is n?
-1452
Suppose 5*v**2 + 335*v = 0. Calculate v.
-67, 0
Factor -2*z**4 - 12*z**3 - 18*z**2.
-2*z**2*(z + 3)**2
Let 2*i**4/7 - 6*i**3/7 - 4*i**2 + 96*i/7 - 64/7 = 0. Calculate i.
-4, 1, 2, 4
Factor 54*h**3/13 - 27320*h**2/13 + 3454462*h/13 + 256036/13.
2*(h - 253)**2*(27*h + 2)/13
Factor 38*w**2/3 - 194*w/3 + 20/3.
2*(w - 5)*(19*w - 2)/3
Find o, given that -4*o**2 - 2040*o - 260100 = 0.
-255
Suppose -w**3 - 10*w**2 + 87*w - 144 = 0. Calculate w.
-16, 3
Suppose 3*b**4 - 42*b**3 - 396*b**2 - 918*b - 567 = 0. What is b?
-3, -1, 21
Factor -5*j**4 - 20*j**3 - 25*j**2 - 10*j.
-5*j*(j + 1)**2*(j + 2)
Let -r**4 - 6*r**3 + r**2 + 6*r = 0. Calculate r.
-6, -1, 0, 1
Find i such that 2*i**4/3 + 14*i**3/3 + 4*i**2 - 64*i/3 - 64/3 = 0.
-4, -1, 2
Factor 2*m**3 - 56*m**2 + 54*m.
2*m*(m - 27)*(m - 1)
Solve -t**2 + 9*t = 0 for t.
0, 9
Factor 42*f**2/11 - 10*f/11.
2*f*(21*f - 5)/11
Factor 2*y**3 + 4*y**2 + 2*y.
2*y*(y + 1)**2
Factor -3*d**2 + 816*d - 55488.
-3*(d - 136)**2
What is s in 2*s**3/9 + 16*s**2/9 = 0?
-8, 0
Suppose 5*q**3 - 45*q**2 + 120*q - 80 = 0. Calculate q.
1, 4
Factor -2*x**3/5 + 2936*x**2/5 - 1077512*x/5.
-2*x*(x - 734)**2/5
Solve u**3 - 28*u**2 + 25*u + 54 = 0.
-1, 2, 27
Suppose -3*r**4 - 666*r**3 - 1323*r**2 - 660*r = 0. What is r?
-220, -1, 0
Find x, given that 5*x**3/3 + 55*x**2/3 - 125*x/3 + 65/3 = 0.
-13, 1
Factor -3*n**2 + 13536*n - 15268608.
-3*(n - 2256)**2
Suppose 2*b**4/7 + 96*b**3/7 + 1536*b**2/7 + 8192*b/7 = 0. Calculate b.
-16, 0
Suppose 2*v**5/5 - 38*v**4/5 + 36*v**3 - 332*v**2/5 + 266*v/5 - 78/5 = 0. What is v?
1, 3, 13
Factor -23*c**2/3 - 2*c/3.
-c*(23*c + 2)/3
Solve -5*q**5 + 100*q**4 - 495*q**3 - 100*q**2 + 500*q = 0 for q.
-1, 0, 1, 10
Suppose -2*n**5 + 130*n**4 - 2044*n**3 - 2308*n**2 + 2046*n + 2178 = 0. Calculate n.
-1, 1, 33
Suppose -3*s**3 - 2370*s**2 - 468075*s = 0. Wha