124*n**3/3 - 6316*n**2/3 - 136*n = 0. Calculate n.
-2/31, 0, 51
Factor -125*n**2 - 26400*n - 1393920.
-5*(5*n + 528)**2
Factor -2*x**2 + 254*x + 256.
-2*(x - 128)*(x + 1)
Factor 5*g**5 + 32*g**4 + 72*g**3 + 74*g**2 + 35*g + 6.
(g + 1)**3*(g + 3)*(5*g + 2)
Factor -v**5 + 60*v**4 - 116*v**3.
-v**3*(v - 58)*(v - 2)
Factor -x**3/6 - x**2/3 + 79*x/6 - 110/3.
-(x - 5)*(x - 4)*(x + 11)/6
Suppose x**3 - 109*x**2/5 + 83*x/5 + 21/5 = 0. Calculate x.
-1/5, 1, 21
Factor 2*s**2/5 - 982*s/5 + 1956/5.
2*(s - 489)*(s - 2)/5
Suppose 2*i**2/5 + 192*i/5 + 4608/5 = 0. What is i?
-48
Suppose -f**3/3 - 16*f**2/3 - 5*f = 0. Calculate f.
-15, -1, 0
Factor 2*p**2/7 - 22*p/7 - 52/7.
2*(p - 13)*(p + 2)/7
Factor 5*s**4 + 200*s**3 + 190*s**2 - 200*s - 195.
5*(s - 1)*(s + 1)**2*(s + 39)
Factor -4*l**5 + 24*l**4 - 36*l**3.
-4*l**3*(l - 3)**2
Factor 4*s**2 + 4*s.
4*s*(s + 1)
Factor 50*b**3 + 260*b**2 + 258*b + 72.
2*(b + 4)*(5*b + 3)**2
Factor -2*c**3/5 + 1950*c**2 - 3168750*c + 1716406250.
-2*(c - 1625)**3/5
Factor 5*a**4/4 - 195*a**3/4 + 1035*a**2/4 - 1485*a/4.
5*a*(a - 33)*(a - 3)**2/4
Factor v**3/5 + 622*v**2/5 + 248*v.
v*(v + 2)*(v + 620)/5
Factor 3*l**3/5 + 846*l**2/5 + 2511*l/5.
3*l*(l + 3)*(l + 279)/5
Let 4*h**2 - 4936*h + 4932 = 0. What is h?
1, 1233
Factor -21*w**3 - 11502*w**2 + 3288*w.
-3*w*(w + 548)*(7*w - 2)
What is x in -x**5 + 1207*x**4/4 - 44227*x**3/2 - 391837*x**2/4 - 116739*x - 23409 = 0?
-2, -1/4, 153
Solve 32*s**2 - 116*s - 48 = 0 for s.
-3/8, 4
Let 2*j**3/11 - 104*j**2/11 + 1450*j/11 - 2500/11 = 0. Calculate j.
2, 25
Suppose 55*o**3 - 100*o**2 - 185*o - 30 = 0. Calculate o.
-1, -2/11, 3
Factor -5*x**3/3 + 15*x**2 + 740*x/3 + 420.
-5*(x - 18)*(x + 2)*(x + 7)/3
Factor -29*z**3/3 - 143*z**2/3 - 106*z/3 + 8/3.
-(z + 1)*(z + 4)*(29*z - 2)/3
Factor 8*g**3/9 - 604*g**2/3 + 11248*g + 17328.
4*(g - 114)**2*(2*g + 3)/9
Find s such that 4*s**3 + 1728*s**2 + 186624*s = 0.
-216, 0
Find t such that -4*t**2 - 1652*t - 3288 = 0.
-411, -2
Determine i so that -24*i**2 - 4*i + 4/3 = 0.
-1/3, 1/6
Factor -2*t**2/7 + 8*t/7 - 8/7.
-2*(t - 2)**2/7
Suppose -y**4/10 - 9*y**3/10 + 21*y**2/10 - 11*y/10 = 0. What is y?
-11, 0, 1
Determine s so that -18*s**5/5 + 18*s**4/5 + 26*s**3/5 - 26*s**2/5 - 8*s/5 + 8/5 = 0.
-1, -2/3, 2/3, 1
Factor 2*v**5 - 10*v**4 + 2*v**3 + 42*v**2 - 36*v.
2*v*(v - 3)**2*(v - 1)*(v + 2)
Solve y**3/2 - 7*y**2/2 - 22*y = 0 for y.
-4, 0, 11
Suppose -5*t**3 + 780*t**2 - 29625*t - 62410 = 0. Calculate t.
-2, 79
Factor -3*n**2 - 255*n + 258.
-3*(n - 1)*(n + 86)
Find c, given that c**2 - 20576*c + 105842944 = 0.
10288
Factor -5*f**2/3 + 10*f/3 - 5/3.
-5*(f - 1)**2/3
Solve 2*y**2/3 - 490*y/3 - 988/3 = 0.
-2, 247
Solve 4*i**3 + 1240*i**2 + 2468*i + 1232 = 0.
-308, -1
Factor 2*b**3 + 28*b**2 + 98*b + 72.
2*(b + 1)*(b + 4)*(b + 9)
Let 2*u**3/3 - 2*u**2 = 0. What is u?
0, 3
Find a, given that -2*a**4 + 126*a**3 - 482*a**2 + 594*a - 236 = 0.
1, 2, 59
Factor 5*t**3 + 115*t**2 - 130*t - 240.
5*(t - 2)*(t + 1)*(t + 24)
Factor 2*b**2/11 - 144*b/11 + 1792/11.
2*(b - 56)*(b - 16)/11
Let -4*f**5 - 32*f**4 - 20*f**3 + 200*f**2 = 0. Calculate f.
-5, 0, 2
Determine m so that -2*m**4 - 286*m**3 = 0.
-143, 0
Factor 5*a**4 + 35*a**3 - 600*a**2 + 1840*a - 1280.
5*(a - 4)**2*(a - 1)*(a + 16)
Solve -6*i**5/5 - 18*i**4/5 - 6*i**3/5 + 18*i**2/5 + 12*i/5 = 0.
-2, -1, 0, 1
What is o in 2*o**2/7 - 598*o/7 = 0?
0, 299
Solve -2*y**5 - 43*y**4/3 - 103*y**3/3 - 88*y**2/3 - 4*y = 0.
-3, -2, -1/6, 0
Factor -5929*d**4 + 4928*d**3 - 1024*d**2.
-d**2*(77*d - 32)**2
Let -160*w**5 + 34*w**4 + 492*w**3 + 218*w**2 - 104*w - 24 = 0. Calculate w.
-1, -3/16, 2/5, 2
Suppose 2*g**3 + 118*g**2 - 496*g + 504 = 0. Calculate g.
-63, 2
Factor -2*d**2/3 + 2004*d.
-2*d*(d - 3006)/3
Factor -2*m**3/7 + 10*m**2/7 + 4*m.
-2*m*(m - 7)*(m + 2)/7
Find p, given that 6*p**5/5 + 34*p**4/5 + 38*p**3/5 - 42*p**2/5 - 36*p/5 = 0.
-3, -2/3, 0, 1
Factor 5*w**2/3 - 3115*w/3 + 3110/3.
5*(w - 622)*(w - 1)/3
Factor -5*v**2 + 19880*v - 19760720.
-5*(v - 1988)**2
Find z, given that 21*z**5 + 913*z**4/3 + 1225*z**3/3 - 5371*z**2 + 2628*z - 324 = 0.
-9, 2/9, 2/7, 3
Find k, given that 2*k**4/21 + 6*k**3/7 + 46*k**2/21 + 10*k/7 = 0.
-5, -3, -1, 0
Factor 2*h**2/15 - 188*h/15 + 4418/15.
2*(h - 47)**2/15
Find p, given that -5*p**5 - 30*p**4 + 5*p**3 + 30*p**2 = 0.
-6, -1, 0, 1
Factor -2*i**2/9 - 206*i/9 + 208/9.
-2*(i - 1)*(i + 104)/9
Factor 2*n**2/9 - 14*n/9 - 16/9.
2*(n - 8)*(n + 1)/9
Factor -y**4 - 7*y**3 - 12*y**2.
-y**2*(y + 3)*(y + 4)
Factor 3*x**2/4 - 33*x/4 - 9.
3*(x - 12)*(x + 1)/4
Suppose -2*n**4/7 - 276*n**3/7 - 270*n**2/7 + 548*n/7 = 0. What is n?
-137, -2, 0, 1
Find p such that 25*p**4 + 37530*p**3 + 82480*p**2 + 52470*p + 7495 = 0.
-1499, -1, -1/5
Find w such that 5*w**2 - 6080*w + 1848320 = 0.
608
Factor 2*h**3/7 + 30*h**2 - 426*h/7 + 214/7.
2*(h - 1)**2*(h + 107)/7
Let q**2/3 + 14*q - 43/3 = 0. What is q?
-43, 1
Suppose 5*j**2 + 1140*j - 3465 = 0. Calculate j.
-231, 3
What is q in -5*q**2 - 60*q = 0?
-12, 0
Let -j**5/4 + 5*j**4/2 - 3*j**3 - 17*j**2/2 + 13*j/4 + 6 = 0. What is j?
-1, 1, 3, 8
Determine c, given that 4*c**4 + 8*c**3 - 20*c**2 - 24*c = 0.
-3, -1, 0, 2
Let l**5/5 - 6*l**4/5 - 3*l**3/5 + 56*l**2/5 - 12*l/5 - 144/5 = 0. Calculate l.
-2, 3, 4
Factor 5*m**5/4 + 5*m**4 - 25*m**3/4.
5*m**3*(m - 1)*(m + 5)/4
Factor -2*p**4/3 - 26*p**3/3 - 70*p**2/3 + 98*p/3.
-2*p*(p - 1)*(p + 7)**2/3
Factor -2*c**4/9 + 76*c**3/9 - 112*c**2 + 5684*c/9 - 11662/9.
-2*(c - 17)*(c - 7)**3/9
Determine d so that -d**2/5 - 11*d + 56/5 = 0.
-56, 1
Solve -50*f**5/9 + 2420*f**4/9 + 9238*f**3/9 + 6416*f**2/9 - 3752*f/9 + 416/9 = 0.
-2, 1/5, 52
Solve 2*k**2/25 + 36*k/25 + 18/5 = 0 for k.
-15, -3
Find s such that -s**3 + 94*s**2 - 185*s + 92 = 0.
1, 92
Factor -4*k**5/5 + 8*k**3/5 - 4*k/5.
-4*k*(k - 1)**2*(k + 1)**2/5
Factor -3*x**3 - 345*x**2 + 1056*x - 708.
-3*(x - 2)*(x - 1)*(x + 118)
Factor -q**5/3 - 218*q**4 - 160064*q**3/3 - 17321024*q**2/3 - 229369088*q + 1446789632/3.
-(q - 2)*(q + 164)**4/3
Factor 20*u**3 + 152*u**2 + 84*u.
4*u*(u + 7)*(5*u + 3)
Determine q so that -5*q**4/3 + 650*q**3/3 - 640*q**2 + 1910*q/3 - 635/3 = 0.
1, 127
Factor -2*k**2 - 82*k - 156.
-2*(k + 2)*(k + 39)
Factor -4*w**2/17 - 642*w/17 + 322/17.
-2*(w + 161)*(2*w - 1)/17
Factor 2*g**2 - 2184*g + 596232.
2*(g - 546)**2
Factor -5*r**2 + 105*r - 190.
-5*(r - 19)*(r - 2)
Factor -t**2/7 + 250*t/7 - 15625/7.
-(t - 125)**2/7
Factor 20*h**4 + 52*h**3 - 204*h**2 + 172*h - 40.
4*(h - 1)**2*(h + 5)*(5*h - 2)
Find i, given that i**2 + 57*i + 602 = 0.
-43, -14
Factor -o**2/4 + 7*o - 27/4.
-(o - 27)*(o - 1)/4
Factor -5*b**3/3 - 70*b**2/3 - 325*b/3 - 500/3.
-5*(b + 4)*(b + 5)**2/3
Find n such that -n**2/8 - 31*n/8 - 23 = 0.
-23, -8
Factor 6*s**2/7 - 72*s/7 - 24.
6*(s - 14)*(s + 2)/7
Let 4*l**4/3 - 58*l**3/3 + 206*l**2/3 - 62*l/3 - 30 = 0. Calculate l.
-1/2, 1, 5, 9
Factor -4*c**4 + 16*c**3 - 12*c**2.
-4*c**2*(c - 3)*(c - 1)
Suppose 4*v**3 - 728*v**2 + 33840*v - 64800 = 0. Calculate v.
2, 90
Suppose -2*p**3 + 112*p**2 + 728*p + 992 = 0. Calculate p.
-4, -2, 62
Factor -5*b**4 - 315*b**3 - 4800*b**2 + 5120*b.
-5*b*(b - 1)*(b + 32)**2
Find c such that c**3/3 - c**2/3 - 101*c/3 - 33 = 0.
-9, -1, 11
Find a, given that a**4/2 + 8*a**3/3 + 29*a**2/6 + 10*a/3 + 2/3 = 0.
-2, -1, -1/3
Determine b, given that -3*b**2 + 1659*b - 1656 = 0.
1, 552
Factor -4*p**3 + 156*p**2 - 572*p + 420.
-4*(p - 35)*(p - 3)*(p - 1)
Factor o**4/7 + 51*o**3/7 + 722*o**2/7 + 1824*o/7 + 1152/7.
(o + 1)*(o + 2)*(o + 24)**2/7
Factor -d**5 + d**4 + 4*d**3 - 4*d**2.
-d**2*(d - 2)*(d - 1)*(d + 2)
Factor 2*g**5/15 + 2*g**4/15 - 2*g**3/15 - 2*g**2/15.
2*g**2*(g - 1)*(g + 1)**2/15
Let a**3 - 34*a**2 + 300*a - 792 = 0. Calculate a.
6, 22
Solve 2*q**4 - 386*q**3 + 24960*q**2 - 548864*q + 524288 = 0.
1, 64
Suppose -2*i**2/15 + 52*i/5 - 1014/5 = 0. Calculate i.
39
Factor 3*s**3 - 162*s**2 + 2907*s - 17340.
3*(s - 20)*(s - 17)**2
What is v in 2*v**2 + 76*v - 160 = 0?
-40, 2
Let -4*d**4 + 48*d**3 - 132*d**2 + 8*d + 192 = 0. What is d?
-1, 2, 3, 8
Factor 125*a**3 - 19900*a**2 - 56455*a - 39690.
5*(a - 162)*(5*a + 7)**2
Factor 4*q**2 + 1968*q + 242064.
4*(q + 246)**2
Factor 2*d**4 + 38*d**3 + 130*d**2 + 154*d + 60.
2*(d + 1)**2*(d + 2)*(d + 15)
Let 2*c**4/15 + 22*c**3/15 - 122*c**2/15 - 22*c/15 + 8 = 0. What is c?
-15, -1, 1, 4
Factor 4