8*b**3 + 10*b**2 + 4*b.
2*b*(b + 1)**2*(b + 2)
Let 3*u**4 - 213*u**3 - 885*u**2 - 1119*u - 450 = 0. What is u?
-2, -1, 75
Factor -b**5 + 4*b**4 + 2*b**3 - 8*b**2 - b + 4.
-(b - 4)*(b - 1)**2*(b + 1)**2
Factor 3*f**3/4 - 6*f**2 + 63*f/4 - 27/2.
3*(f - 3)**2*(f - 2)/4
Determine o, given that 25*o**2 + 6160*o + 2460 = 0.
-246, -2/5
Factor -5*u**5 - 95*u**4 + 30*u**3 + 530*u**2 - 745*u + 285.
-5*(u - 1)**3*(u + 3)*(u + 19)
Factor -2*i**5/7 - 2*i**4/7 + 2*i**3/7 + 2*i**2/7.
-2*i**2*(i - 1)*(i + 1)**2/7
Factor 2*a**4/9 - 6*a**3 + 50*a**2/3 - 146*a/9 + 16/3.
2*(a - 24)*(a - 1)**3/9
Suppose -9*s**2/2 - 939*s/4 - 39 = 0. What is s?
-52, -1/6
Factor -5*s**5 + 71*s**4 - 194*s**3 + 206*s**2 - 89*s + 11.
-(s - 11)*(s - 1)**3*(5*s - 1)
Solve -z**5/3 - 17*z**4/3 - 21*z**3 + 27*z**2 = 0.
-9, 0, 1
Factor -8*d**2 - 378*d - 94.
-2*(d + 47)*(4*d + 1)
Factor -2*k**2 + 2092*k - 547058.
-2*(k - 523)**2
Find x such that -80*x**4 + 1400*x**3 + 2235*x**2 + 850*x + 95 = 0.
-1, -1/4, 19
Factor -4*h**3/11 + 266*h**2/11 - 12*h.
-2*h*(h - 66)*(2*h - 1)/11
Factor 4*u**3 - 120*u**2 - 3600*u + 108000.
4*(u - 30)**2*(u + 30)
Factor -o**5 + 13*o**4 - 41*o**3 + 47*o**2 - 18*o.
-o*(o - 9)*(o - 2)*(o - 1)**2
Factor 3*t**3 + 21*t**2 - 108.
3*(t - 2)*(t + 3)*(t + 6)
Suppose 2*v**2 + 560*v = 0. What is v?
-280, 0
Factor -154*r**3/3 - 4912*r**2/3 - 38912*r/3 + 4096/3.
-2*(r + 16)**2*(77*r - 8)/3
What is w in 4*w**2 + 136*w + 1156 = 0?
-17
Find o such that 2*o**2/17 - 98*o/17 + 440/17 = 0.
5, 44
Factor 13*t**2/6 - 59*t/6 + 10.
(t - 3)*(13*t - 20)/6
Solve -o**3/10 + 4*o**2/5 = 0.
0, 8
Find x, given that 50*x**5/7 - 892*x**4/7 + 208*x**3 + 256*x**2/7 = 0.
-4/25, 0, 2, 16
Suppose -4*a**2 + 128*a - 1024 = 0. Calculate a.
16
What is s in 3*s**4 + 120*s**3 + 1197*s**2 - 120*s - 1200 = 0?
-20, -1, 1
Determine k so that 5*k**3 + 10*k**2 - 105*k + 90 = 0.
-6, 1, 3
Suppose -h**2 - 2371*h - 4738 = 0. Calculate h.
-2369, -2
Factor 4*u**4 - 36*u**3 - 72*u**2 + 272*u + 480.
4*(u - 10)*(u - 3)*(u + 2)**2
Factor -2*m**3/11 + 12*m**2/11 + 2*m/11 - 12/11.
-2*(m - 6)*(m - 1)*(m + 1)/11
Suppose -5*w**2 + 30*w - 40 = 0. Calculate w.
2, 4
Suppose 2*v**2/9 - 1220*v/3 + 186050 = 0. What is v?
915
Factor -2*f**2/3 - 42*f.
-2*f*(f + 63)/3
Find q, given that -q**2/2 + 17*q/2 - 35 = 0.
7, 10
Find p, given that 20*p**4 + 498*p**3 - 574*p**2 - 48*p + 104 = 0.
-26, -2/5, 1/2, 1
Factor w**4 + 66*w**3 + 128*w**2.
w**2*(w + 2)*(w + 64)
Factor -2*y**3/17 + 4*y**2/17 + 58*y/17 - 60/17.
-2*(y - 6)*(y - 1)*(y + 5)/17
Solve 3*f**4/2 - 69*f**3/8 + 123*f**2/8 - 33*f/4 = 0.
0, 1, 2, 11/4
Factor -2*w**2 + 54*w + 56.
-2*(w - 28)*(w + 1)
Factor 2*z**4 - 12*z**3.
2*z**3*(z - 6)
Determine o so that 2*o**2/5 - 2552*o + 4070440 = 0.
3190
Determine i, given that 4*i**4/7 - 5*i**3/7 - 10*i**2/7 + 5*i/7 + 6/7 = 0.
-1, -3/4, 1, 2
Factor 4*b**3 - 4048*b**2 - 4*b + 4048.
4*(b - 1012)*(b - 1)*(b + 1)
Factor 4*x**4/3 + 16*x**3/3 + 8*x**2/3 - 16*x/3 - 4.
4*(x - 1)*(x + 1)**2*(x + 3)/3
Factor s**5/6 - 5*s**4/6 + s**3 + s**2/3 - 7*s/6 + 1/2.
(s - 3)*(s - 1)**3*(s + 1)/6
Solve 3*t**3 - 3*t**2 - 27*t + 27 = 0.
-3, 1, 3
Factor -4*v**4 - 460*v**3 + 932*v**2 - 468*v.
-4*v*(v - 1)**2*(v + 117)
Determine v, given that -12*v**2 - 572*v - 376 = 0.
-47, -2/3
Find l, given that -30*l**3 - 685*l**2 + 835*l - 120 = 0.
-24, 1/6, 1
Let 4*h**2/7 - 976*h/7 + 59536/7 = 0. Calculate h.
122
Solve -g**4/7 - g**3/7 + 3*g**2/7 + g/7 - 2/7 = 0.
-2, -1, 1
What is i in 3*i**4 + 3963*i**3 + 1742391*i**2 + 253797705*i - 514596726 = 0?
-441, 2
Factor i**5/3 + i**4 - 9*i**3 - 45*i**2 - 54*i.
i*(i - 6)*(i + 3)**3/3
Solve 5*l**2/2 + 1335*l/2 - 3400 = 0.
-272, 5
Determine h, given that 70*h**4/11 + 214*h**3/11 + 222*h**2/11 + 82*h/11 + 4/11 = 0.
-1, -2/35
Factor -3*c**3 + 9*c**2 + 39*c - 45.
-3*(c - 5)*(c - 1)*(c + 3)
Factor -2*v**4 - 8*v**3 + 602*v**2 + 608*v.
-2*v*(v - 16)*(v + 1)*(v + 19)
Factor -3*f**4/8 - 10647*f**3/8 + 5325*f**2/4.
-3*f**2*(f - 1)*(f + 3550)/8
Solve -3*s**4/2 + 306*s**3 + 4407*s**2/2 + 2556*s - 5064 = 0.
-4, 1, 211
Solve 5*r**2 - 425*r = 0 for r.
0, 85
Suppose -6*a**5 - 140*a**4 + 252*a**3 + 40*a**2 - 246*a + 100 = 0. Calculate a.
-25, -1, 2/3, 1
Suppose 3*n**2 + 948*n + 74892 = 0. What is n?
-158
Factor -2*k**3/15 + 2*k**2/3 + 32*k/15 - 32/3.
-2*(k - 5)*(k - 4)*(k + 4)/15
Factor a**3/5 + 58*a**2/5.
a**2*(a + 58)/5
Factor -2*i**2/3 + 2/3.
-2*(i - 1)*(i + 1)/3
Let -3*o**3 - 1761*o**2 - 259305*o - 257547 = 0. Calculate o.
-293, -1
Factor r**2 + 376*r + 35344.
(r + 188)**2
Suppose -5*q**4 - 90*q**3 - 585*q**2 - 1620*q - 1620 = 0. What is q?
-6, -3
Factor -h**3/5 - 3*h**2/5 + 4/5.
-(h - 1)*(h + 2)**2/5
Factor -l**3/2 - 77*l**2/8 + 61*l/8 + 5/2.
-(l - 1)*(l + 20)*(4*l + 1)/8
Determine b, given that 16*b**4/3 + 52*b**3/3 - 52*b**2/3 - 16*b/3 = 0.
-4, -1/4, 0, 1
Factor -2*s**4 - 2*s**3 + 6*s**2 + 2*s - 4.
-2*(s - 1)**2*(s + 1)*(s + 2)
Factor 4*p**5 + 28*p**4 + 40*p**3.
4*p**3*(p + 2)*(p + 5)
Factor -40120947*g**2/5 + 21942*g/5 - 3/5.
-3*(3657*g - 1)**2/5
Solve -2*z**3/11 - 4*z**2/11 + 26*z/11 - 20/11 = 0 for z.
-5, 1, 2
Solve -q**5/4 + 65*q**4/4 - 543*q**3/2 + 224*q**2 + 512*q = 0.
-1, 0, 2, 32
Find l, given that 2*l**4 - 6*l**2 - 4*l = 0.
-1, 0, 2
Factor -x**2/6 - 19*x/6 + 161.
-(x - 23)*(x + 42)/6
Solve -3*f**3 - 405*f**2 - 13869*f - 13467 = 0.
-67, -1
Factor 2*b**3 + 308*b**2 - 1256*b + 1264.
2*(b - 2)**2*(b + 158)
Factor -2*g**3/23 - 6*g**2/23 + 8*g/23.
-2*g*(g - 1)*(g + 4)/23
Find y such that 2*y**4 - 8*y**3 = 0.
0, 4
Suppose 3*g**3/2 + 3*g**2/2 - 18*g = 0. What is g?
-4, 0, 3
Suppose -t**4/3 - 130*t**3/3 = 0. Calculate t.
-130, 0
Let 4*v**5/9 - 28*v**4/9 + 64*v**3/9 - 16*v**2/3 = 0. What is v?
0, 2, 3
Solve p**4 + 8*p**3 + 7*p**2 = 0 for p.
-7, -1, 0
Let -4*n**3 - 216*n**2 - 420*n - 208 = 0. What is n?
-52, -1
Factor 17*w**2/8 - 87*w/8 + 5/4.
(w - 5)*(17*w - 2)/8
Factor -16*w**3 + 1032*w**2 - 22188*w + 159014.
-2*(2*w - 43)**3
What is c in 6*c**2/5 - 636*c/5 + 126 = 0?
1, 105
Factor 21*w**3 + 191*w**2 - 1074*w - 104.
(w - 4)*(w + 13)*(21*w + 2)
Factor -l**4 + 9*l**3 - 23*l**2 + 15*l.
-l*(l - 5)*(l - 3)*(l - 1)
Factor -4*p**3 + 2392*p**2 - 4772*p + 2384.
-4*(p - 596)*(p - 1)**2
Suppose 15*s**3/2 + 9*s**2/2 - 3*s = 0. Calculate s.
-1, 0, 2/5
Let 38*a**2 + 41*a + 3 = 0. What is a?
-1, -3/38
Factor -4*o**5 + 4*o**4 + 4*o**3 - 4*o**2.
-4*o**2*(o - 1)**2*(o + 1)
Determine p, given that -p**3/2 + 47*p**2/2 + p/2 - 47/2 = 0.
-1, 1, 47
Find n, given that -n**2 + 17*n + 18 = 0.
-1, 18
Factor 2*q**4/9 - 10*q**3/9.
2*q**3*(q - 5)/9
Let -477144*m**3 - 162432*m**2 - 1134*m - 2 = 0. What is m?
-1/3, -1/282
Factor -16*j**2 + 28*j - 12.
-4*(j - 1)*(4*j - 3)
Solve j**5/11 + 9*j**4/11 + 23*j**3/11 + 15*j**2/11 = 0 for j.
-5, -3, -1, 0
Factor -2*q**2/9 - 106*q/9 + 12.
-2*(q - 1)*(q + 54)/9
Let u**3/7 - 3*u**2/7 - 60*u/7 - 100/7 = 0. Calculate u.
-5, -2, 10
Factor -2*o**2/5 - 140*o.
-2*o*(o + 350)/5
Factor -5*f**2 + 305*f - 300.
-5*(f - 60)*(f - 1)
Find q such that 5*q**3 - 545*q**2 + 4120*q - 8080 = 0.
4, 101
Find q, given that q**5/4 - 21*q**4/4 + 51*q**3/2 - 47*q**2 + 30*q = 0.
0, 2, 15
Factor -2*g**2/13 + 388*g/13 + 784/13.
-2*(g - 196)*(g + 2)/13
Determine w, given that 2*w**2 - 7440*w + 6919200 = 0.
1860
Let 5*v**2 - 7655*v = 0. What is v?
0, 1531
Factor 2*m**2/7 - 120*m/7 + 1800/7.
2*(m - 30)**2/7
Find p such that p**2 - p + 1/4 = 0.
1/2
Let -2*z**2 + 26*z - 84 = 0. What is z?
6, 7
Factor u**2 + 227*u + 226.
(u + 1)*(u + 226)
Find s, given that -15*s**4/8 - 63*s**3/8 + 153*s**2/8 - 57*s/8 - 9/4 = 0.
-6, -1/5, 1
Suppose 14*g**5/3 + 48*g**4 + 376*g**3/3 - 44*g**2/3 - 130*g - 100/3 = 0. What is g?
-5, -1, -2/7, 1
Factor w**2/4 + 11*w + 21.
(w + 2)*(w + 42)/4
Find q, given that -2*q**5/7 + 64*q**4/7 - 656*q**3/7 + 1804*q**2/7 + 4114*q/7 - 5324/7 = 0.
-2, 1, 11
What is l in 3*l**2/7 - 141*l/7 - 1914/7 = 0?
-11, 58
Factor -4*p**3 + 120*p**2 - 900*p.
-4*p*(p - 15)**2
Suppose 3*q**4 + 300*q**3 + 8496*q**2 + 66000*q - 168432 = 0. What is q?
-58, -22, 2
Suppose 3*q**2 - 168*q + 165 = 0. What is q?
1, 55
Solve -3*d**2 + 90*d + 93 = 0.
-1, 31
Suppose -3*o**2 - 2727*o = 0. Calculate o.
-909, 0
Factor p**4/3 - 85*p**3/9 + 250*p**2/3 - 500*p/3 - 5000/9.
(p - 10)**3*(3*p + 5)/9
Factor -9*g**3 - 39*g**2 + 54*g + 120.
-3*(g - 2)*(g + 5)*(3*g + 4)
Factor o**3 - 204*o**2 + 13872*o - 3