 Calculate k.
-75, -3, -2
Find w such that w**2/3 + 4*w/3 + 4/3 = 0.
-2
Factor -y**3 + 7*y**2 - 7*y - 15.
-(y - 5)*(y - 3)*(y + 1)
Factor -5*a**5 + 10*a**3 - 5*a.
-5*a*(a - 1)**2*(a + 1)**2
Suppose -4*m**2 + 676*m - 672 = 0. What is m?
1, 168
Find b such that -147*b**4 + 2562*b**3 + 7380*b**2 + 3576*b + 480 = 0.
-2, -2/7, 20
Factor 2*c**4/7 + 1458*c**3/7 + 2910*c**2/7 + 1454*c/7.
2*c*(c + 1)**2*(c + 727)/7
Factor -2*d**4/7 + 8*d**3 - 200*d**2/7 + 192*d/7.
-2*d*(d - 24)*(d - 2)**2/7
Factor -2*k**3 + 1106*k**2 - 153456*k + 152352.
-2*(k - 276)**2*(k - 1)
Find a, given that -2*a**4 - 214*a**3 + 1338*a**2 - 2034*a = 0.
-113, 0, 3
Factor -9*r**2 - 100*r - 91.
-(r + 1)*(9*r + 91)
Factor 2*b**4/3 - 16*b**3/3 - 88*b**2/3 - 32*b.
2*b*(b - 12)*(b + 2)**2/3
Determine a, given that -2*a**5/11 - 30*a**4/11 - 84*a**3/11 + 320*a**2/11 + 768*a/11 = 0.
-8, -2, 0, 3
Factor -4*u**2 + 2260*u + 6816.
-4*(u - 568)*(u + 3)
Factor 2*a**2/9 + 14*a/9 + 20/9.
2*(a + 2)*(a + 5)/9
Factor 3*o**3/2 + 72*o**2 + 1575*o/2 - 1875.
3*(o - 2)*(o + 25)**2/2
Determine k so that 4*k**5 + 32*k**4 - 168*k**3 + 272*k**2 - 188*k + 48 = 0.
-12, 1
Find h, given that 2*h**4 + 44*h**3 - 296*h**2 - 716*h - 378 = 0.
-27, -1, 7
Find z, given that 3*z**2 + 252*z + 5292 = 0.
-42
Factor 39*b**3 + 440*b**2 + 276*b.
b*(3*b + 2)*(13*b + 138)
Suppose -2*p**3/3 + 8*p**2 + 2*p/3 - 8 = 0. Calculate p.
-1, 1, 12
Factor -u**3/3 - u**2 - 2*u/3.
-u*(u + 1)*(u + 2)/3
Suppose 4*b**3 - 12*b**2 - 144*b - 128 = 0. What is b?
-4, -1, 8
Factor -r**4/2 - 7*r**3/2 + 9*r**2/2 + 7*r/2 - 4.
-(r - 1)**2*(r + 1)*(r + 8)/2
Factor -5*o**3 - 2070*o**2 + 4155*o - 2080.
-5*(o - 1)**2*(o + 416)
Factor 81*t**5/5 - 1872*t**4 - 4172*t**3/5 - 464*t**2/5.
t**2*(t - 116)*(9*t + 2)**2/5
Suppose -n**4/4 - 17*n**3 - 131*n**2/4 + 17*n + 33 = 0. Calculate n.
-66, -2, -1, 1
Determine a, given that -6*a**4 - 9*a**3 + 390*a**2 + 576*a - 384 = 0.
-8, -2, 1/2, 8
Factor k**2/6 - 78*k + 9126.
(k - 234)**2/6
Find i, given that 5*i**5 - 3200*i**4 + 819200*i**3 - 104857600*i**2 + 6710886400*i - 171798691840 = 0.
128
Let 2*o**5 + 150*o**4/7 + 544*o**3/7 + 104*o**2 + 192*o/7 - 128/7 = 0. What is o?
-4, -2, -1, 2/7
Let 3*l**2/7 + 3618*l/7 + 3615/7 = 0. What is l?
-1205, -1
What is y in 162*y**3 - 9*y**2 - 6*y = 0?
-1/6, 0, 2/9
Let 2*r**3/11 + 2*r**2/11 - 40*r/11 = 0. What is r?
-5, 0, 4
Determine r so that -49*r**3/6 + 7*r**2 - 3*r/2 = 0.
0, 3/7
Solve -f**2/7 - 4*f/7 - 4/7 = 0.
-2
Determine w, given that -4*w**2/5 + 24*w - 180 = 0.
15
Solve q**5 - 132*q**4 + 1228*q**3 - 966*q**2 - 1229*q + 1098 = 0.
-1, 1, 9, 122
Suppose 5*u**4 - 60*u**3 + 80*u**2 + 240*u - 400 = 0. Calculate u.
-2, 2, 10
Solve w**4/3 - 8*w**3 - 107*w**2/3 - 46*w - 56/3 = 0.
-2, -1, 28
Determine d, given that 3*d**5 - 90*d**4 + 168*d**3 + 6*d**2 - 171*d + 84 = 0.
-1, 1, 28
Determine y, given that -5*y**2 + 605*y - 600 = 0.
1, 120
Factor -5*r**2/4 + 625*r/4.
-5*r*(r - 125)/4
Let z**2/3 + 47*z/3 - 68 = 0. What is z?
-51, 4
Factor -4*c**4 - 192*c**3 - 2288*c**2 + 768*c + 9216.
-4*(c - 2)*(c + 2)*(c + 24)**2
What is u in 2*u**4/11 + 820*u**3/11 + 87266*u**2/11 + 659280*u/11 + 1292832/11 = 0?
-201, -4
What is s in -3*s**2 - 30*s = 0?
-10, 0
Let -3*w**2 + 63*w + 66 = 0. Calculate w.
-1, 22
Factor -4*c**4 - 412*c**3 + 3924*c**2 - 11988*c + 12096.
-4*(c - 3)**3*(c + 112)
Determine g so that -4*g**4 + 156*g**3 - 1588*g**2 + 1140*g + 2888 = 0.
-1, 2, 19
Solve -5*d**2 + 1350*d - 91125 = 0 for d.
135
Factor 2*j**2/3 + 188*j/3 - 128.
2*(j - 2)*(j + 96)/3
Factor -4*v**3/9 + 5*v**2/9 + 79*v/9 - 20/9.
-(v - 5)*(v + 4)*(4*v - 1)/9
Factor 4*v**2 - 388*v - 1616.
4*(v - 101)*(v + 4)
Factor -3*a**3/7 - 39*a**2/7 + 120*a/7 + 300.
-3*(a - 7)*(a + 10)**2/7
Solve 28*x**3 - 31968*x**2 + 9120012*x + 2608328 = 0.
-2/7, 571
Suppose 5*o**3 - 175*o**2 + 980*o = 0. Calculate o.
0, 7, 28
Factor -4*i**4 - 16*i**3 - 8*i**2 + 16*i + 12.
-4*(i - 1)*(i + 1)**2*(i + 3)
Let 5*t**2 + 20*t - 105 = 0. What is t?
-7, 3
Factor -4*i**5 + 32*i**3 - 64*i.
-4*i*(i - 2)**2*(i + 2)**2
Let -2*s**5/3 + 26*s**4/3 - 116*s**3/3 + 212*s**2/3 - 170*s/3 + 50/3 = 0. What is s?
1, 5
Suppose 8*k**5/5 - 14*k**4/5 - 4*k**3/5 + 16*k**2/5 - 4*k/5 - 2/5 = 0. What is k?
-1, -1/4, 1
Let -2*n**4/7 - 450*n**3/7 + 6*n**2/7 + 1346*n/7 - 900/7 = 0. Calculate n.
-225, -2, 1
Determine g, given that 5*g**5 - 165*g**4 + 160*g**3 = 0.
0, 1, 32
Find b, given that -4*b**4 - 108*b**3 - 912*b**2 - 3136*b - 3840 = 0.
-15, -4
Determine f so that 16*f**4/5 + 3*f**3/5 = 0.
-3/16, 0
Determine q, given that 5*q**3 - 40*q**2 = 0.
0, 8
Determine h so that -15*h**4 - 252*h**3 - 417*h**2 - 180*h = 0.
-15, -1, -4/5, 0
Solve 55*x**3 + 760*x**2 + 2555*x - 490 = 0.
-7, 2/11
Let -s**5/4 + 2*s**4 + 5*s**3 + s**2/2 - 19*s/4 - 5/2 = 0. What is s?
-1, 1, 10
Factor o**5 + 36*o**4 - 3*o**3 - 106*o**2 + 72*o.
o*(o - 1)**2*(o + 2)*(o + 36)
Suppose 2*v**2 + 24*v = 0. What is v?
-12, 0
Find u, given that 8*u**4/3 + 746*u**3/3 + 154*u**2/3 - 2984*u/3 - 248 = 0.
-93, -2, -1/4, 2
Let -1875*w**2/4 - 225*w/2 - 27/4 = 0. What is w?
-3/25
Solve -2*a**3 + 108*a**2 - 202*a - 312 = 0 for a.
-1, 3, 52
Factor -134689*c**2 - 4404*c - 36.
-(367*c + 6)**2
Find y such that -y**4/3 - 3*y**3/2 + 19*y**2/3 + 7*y/2 = 0.
-7, -1/2, 0, 3
Suppose 14*t**4/3 + 22*t**3 - 2340*t**2 + 2000*t/3 = 0. What is t?
-25, 0, 2/7, 20
Factor -5*w**2 + 190*w - 1805.
-5*(w - 19)**2
Solve -98*v**4/3 - 896*v**3 + 4402*v**2/3 - 616*v + 232/3 = 0 for v.
-29, 2/7, 1
Let 2*m**3 + 4294*m**2 + 2302656*m - 2306952 = 0. What is m?
-1074, 1
Factor -c**5/3 - c**4 + 10*c**3/3 - 2*c**2/3 - 3*c + 5/3.
-(c - 1)**3*(c + 1)*(c + 5)/3
Determine m, given that -10*m**4 - 24*m**3 - 18*m**2 - 4*m = 0.
-1, -2/5, 0
Find c, given that 29*c**3/4 + 143*c**2/4 - 5*c/2 = 0.
-5, 0, 2/29
Factor -10*l**2/9 - 22*l/3 + 28/9.
-2*(l + 7)*(5*l - 2)/9
Factor 35*c**3/3 - 57*c**2 + 76*c - 52/3.
(c - 2)*(5*c - 13)*(7*c - 2)/3
Let 2*y**3/7 + 114*y**2/7 + 1566*y/7 - 1682/7 = 0. Calculate y.
-29, 1
Factor -12*k**4 + 59*k**3 - 91*k**2 + 40*k + 4.
-(k - 2)**2*(k - 1)*(12*k + 1)
Find j such that 3*j**4/7 - 3*j**3/7 - 3*j**2/7 + 3*j/7 = 0.
-1, 0, 1
Factor t**2/2 + 15*t/2 - 8.
(t - 1)*(t + 16)/2
Factor 25*b**3 + 9535*b**2 + 32160*b + 11340.
5*(b + 3)*(b + 378)*(5*b + 2)
Determine w so that 10*w**4 + 455*w**3 + 5060*w**2 - 2645*w = 0.
-23, 0, 1/2
Factor -2*m**2/5 - 3696*m - 8537760.
-2*(m + 4620)**2/5
Solve 2*u**3/13 - 12*u**2/13 + 10*u/13 + 24/13 = 0 for u.
-1, 3, 4
Find b such that -6*b**3 + 333*b**2 - 801*b + 318 = 0.
1/2, 2, 53
Suppose -4*q**5 + 36*q**4 + 264*q**3 + 224*q**2 = 0. Calculate q.
-4, -1, 0, 14
Factor -b**3 + 592*b**2 - 1181*b + 590.
-(b - 590)*(b - 1)**2
Factor 2*p**2 + 150*p + 432.
2*(p + 3)*(p + 72)
Suppose -b**2/8 + 9*b/8 + 14 = 0. What is b?
-7, 16
Factor -2*w**4 + 28*w**3 - 138*w**2 + 280*w - 200.
-2*(w - 5)**2*(w - 2)**2
Factor -3*b**4/2 - 417*b**3/2 - 612*b**2.
-3*b**2*(b + 3)*(b + 136)/2
Factor -f**2/4 + 105*f/4 - 343/2.
-(f - 98)*(f - 7)/4
Factor 2*j**3 + 2394*j**2/5 + 956*j/5.
2*j*(j + 239)*(5*j + 2)/5
Suppose u**4/4 - u**3/2 - 3*u**2/4 = 0. Calculate u.
-1, 0, 3
Factor -234*c**3 - 236*c**2 + 466*c + 4.
-2*(c - 1)*(c + 2)*(117*c + 1)
Factor -5*f**3/4 - 15*f**2/4 + 55*f/2 + 30.
-5*(f - 4)*(f + 1)*(f + 6)/4
Find v, given that 4*v**5 - 100*v**4/3 + 136*v**3/3 + 272*v**2/3 - 160*v = 0.
-5/3, 0, 2, 6
Factor 2*h**2/13 - 6904*h/13 + 5958152/13.
2*(h - 1726)**2/13
Factor 2*v**2 + 60*v + 58.
2*(v + 1)*(v + 29)
Solve m**5 + 16*m**4 + 14*m**3 - 16*m**2 - 15*m = 0 for m.
-15, -1, 0, 1
Factor -4*a**3 - 28*a**2 - 40*a.
-4*a*(a + 2)*(a + 5)
Factor -2*r**2/11 + 180*r/11 - 4050/11.
-2*(r - 45)**2/11
Factor -3*a**4 + 45*a**3 - 51*a**2 - 1269*a + 2430.
-3*(a - 9)**2*(a - 2)*(a + 5)
Factor r**3/10 + 162*r**2/5 + 633*r/2 + 785.
(r + 5)**2*(r + 314)/10
Factor 3*v**3 - 219*v**2 - 912*v - 924.
3*(v - 77)*(v + 2)**2
Let -l**2/6 - l/6 + 5 = 0. What is l?
-6, 5
Solve 99*d**3 + 105*d**2 - 192*d - 12 = 0 for d.
-2, -2/33, 1
Factor 2*r**2/3 + 49*r/6 + 37/2.
(r + 3)*(4*r + 37)/6
Factor -3*t**2 - 96*t.
-3*t*(t + 32)
Determine n so that 4*n**4 + 28*n**3 + 64*n**2 + 48*n = 0.
-3, -2, 0
Solve 2*k**5/19 - 10*k**4/19 + 4*k**3/19 + 16*k**2/19 = 0 for k.
-1, 0, 2, 4
Solve -2*b**5 - 4*b**4 + 26*b**3 + 28*b**2 - 48*b = 0.
-4, -2, 0, 1, 3
Let -5*h**4/6 + 13*h**3/2 - 27*h**2/2 - 9*h/2 + 27 