2 - 75*l = 0. Calculate l.
0, 25
Factor -2*j**5/11 + 162*j**4/11 + 1026*j**3/11 + 1566*j**2/11.
-2*j**2*(j - 87)*(j + 3)**2/11
Factor 2*m**4 + 56*m**3 + 96*m**2 - 224*m - 416.
2*(m - 2)*(m + 2)**2*(m + 26)
Factor p**2/2 - 44*p + 87/2.
(p - 87)*(p - 1)/2
What is z in 2*z**5/13 + 12*z**4/13 - 8*z**3 - 752*z**2/13 - 1536*z/13 - 1024/13 = 0?
-8, -2, 8
Determine c so that c**2/6 + c/2 + 1/3 = 0.
-2, -1
Factor 5*l**4 + 115*l**3 + 600*l**2 - 720*l.
5*l*(l - 1)*(l + 12)**2
Factor -61605*n**3 - 371850*n**2 - 13340*n - 120.
-5*(n + 6)*(111*n + 2)**2
Suppose 3*n**2 + 21*n + 36 = 0. What is n?
-4, -3
Factor 55*q**3 + 20*q**2 - 345*q + 270.
5*(q - 1)*(q + 3)*(11*q - 18)
Determine x so that -2*x**3/7 + 76*x**2/7 + 78*x/7 = 0.
-1, 0, 39
Find f such that -5*f**3 - 63*f**2 - 174*f + 80 = 0.
-8, -5, 2/5
Determine b so that 3*b**2/5 - 228*b/5 + 45 = 0.
1, 75
Let 18*n**4 + 212*n**3 - 1992*n**2 + 432*n = 0. Calculate n.
-18, 0, 2/9, 6
What is z in 5*z**4 - 25*z**3 - 330*z**2 - 160*z + 1760 = 0?
-4, 2, 11
Factor 2*v**4/15 + 4*v**3/15 - 2*v**2.
2*v**2*(v - 3)*(v + 5)/15
Factor -n**4/3 + 7*n**3/3 - 6*n**2 + 20*n/3 - 8/3.
-(n - 2)**3*(n - 1)/3
Factor 2*j**3/7 + 220*j**2 + 3072*j/7.
2*j*(j + 2)*(j + 768)/7
Find a, given that -a**3/2 + 8*a**2 - 85*a/2 + 75 = 0.
5, 6
Find s, given that 3*s**2 + 16914*s + 23840283 = 0.
-2819
Suppose c**5 + 57*c**4 + 1083*c**3 + 6859*c**2 = 0. Calculate c.
-19, 0
Let -5*x**3 - 7110*x**2 - 2527605*x = 0. What is x?
-711, 0
Factor 11*j**2 - 54*j - 5.
(j - 5)*(11*j + 1)
Factor t**5/6 + 121*t**4/6 - 62*t**3.
t**3*(t - 3)*(t + 124)/6
Solve -2*v**5/3 + 60*v**4 - 338*v**3/3 - 408*v**2 - 704*v/3 = 0 for v.
-1, 0, 4, 88
Factor -5*r**2 - 1180*r - 69620.
-5*(r + 118)**2
Factor 5*l**3 - 1270*l**2 + 2525*l - 1260.
5*(l - 252)*(l - 1)**2
Suppose v**2/5 + 494*v/5 - 1491/5 = 0. Calculate v.
-497, 3
Factor 2*g**2 + 210*g + 612.
2*(g + 3)*(g + 102)
Find j, given that -10*j**5 + 305*j**4 + 155*j**3 = 0.
-1/2, 0, 31
Suppose -i**3/4 + 109*i**2/4 - 106*i + 105 = 0. What is i?
2, 105
Find a, given that -5*a**3/3 - 1485*a**2 - 331525*a - 990125/3 = 0.
-445, -1
Factor -2*d**3/13 - 68*d**2/13 - 190*d/13 - 124/13.
-2*(d + 1)*(d + 2)*(d + 31)/13
Suppose -2*p**4/13 - 22*p**3/13 - 54*p**2/13 - 50*p/13 - 16/13 = 0. What is p?
-8, -1
Solve -2*t**3/9 - 22*t**2/9 - 20*t/9 = 0 for t.
-10, -1, 0
Determine h, given that 3*h**4 + 9*h**3 - 468*h**2 - 1884*h - 1872 = 0.
-12, -2, 13
Factor h**2 - 25*h.
h*(h - 25)
Suppose 2*k**4 - 138*k**3 - 594*k**2 + 730*k = 0. What is k?
-5, 0, 1, 73
Factor d**4/2 + 5*d**3/2 + 7*d**2/2 + 3*d/2.
d*(d + 1)**2*(d + 3)/2
Factor 3*n**4 + 15*n**3 - 24*n**2 - 36*n.
3*n*(n - 2)*(n + 1)*(n + 6)
Factor -2*i**5/5 + 32*i**4/5 + 34*i**3/5.
-2*i**3*(i - 17)*(i + 1)/5
Let k**2 - 216*k + 11664 = 0. Calculate k.
108
Factor -4*k**3 + 4*k**2 + 36*k - 36.
-4*(k - 3)*(k - 1)*(k + 3)
Find m, given that 5*m**4 + 40*m**3 + 35*m**2 = 0.
-7, -1, 0
Factor 4*b**3 + 5752*b**2 + 2073584*b + 4124192.
4*(b + 2)*(b + 718)**2
Suppose -q**5 - 31*q**4 - 190*q**3 + 766*q**2 - 833*q + 289 = 0. What is q?
-17, 1
Let 2*m**4/11 - 36*m**3/11 + 210*m**2/11 - 392*m/11 = 0. Calculate m.
0, 4, 7
Find i, given that 7*i**3 - 38*i**2/3 + 13*i/3 + 4/3 = 0.
-4/21, 1
Factor -p**3/4 - 551*p**2/4 - 823*p/2 - 274.
-(p + 1)*(p + 2)*(p + 548)/4
Factor 45*i**4/7 - 114*i**3 + 4644*i**2/7 - 8424*i/7 - 2592/7.
3*(i - 6)**3*(15*i + 4)/7
Factor -3*t**3 - 90*t**2 + 513*t - 420.
-3*(t - 4)*(t - 1)*(t + 35)
Factor -4*x**2 + 11832*x - 8749764.
-4*(x - 1479)**2
Factor -z**5/7 - 4*z**4/7.
-z**4*(z + 4)/7
Suppose d**2/6 + 23*d/2 = 0. Calculate d.
-69, 0
Factor n**3/5 - 9*n**2/5 - 34*n/5 - 24/5.
(n - 12)*(n + 1)*(n + 2)/5
Determine k so that -4*k**3/5 - 44*k**2/5 + 4*k/5 + 44/5 = 0.
-11, -1, 1
Factor -n**3/10 - 3*n**2/5 + 16/5.
-(n - 2)*(n + 4)**2/10
Determine x, given that -68*x**4/3 - 320*x**3 - 4532*x**2/3 - 2440*x - 800/3 = 0.
-5, -4, -2/17
Factor -5*l**3 + 49350*l**2 - 162361500*l + 178056445000.
-5*(l - 3290)**3
Factor -b**3/6 + 1057*b**2/6 - 46640*b + 46464.
-(b - 528)**2*(b - 1)/6
Solve 3*j**5/2 - 30*j**4 - 531*j**3/2 - 492*j**2 + 138*j + 648 = 0 for j.
-4, -2, 1, 27
Find v such that 525*v**5/4 + 203415*v**4/2 + 19648371*v**3 - 21412950*v**2 + 7673088*v - 903264 = 0.
-388, 2/7, 2/5
Suppose 5*r**3 - 3575*r**2 + 28360*r - 56560 = 0. What is r?
4, 707
Find u such that -2*u**3/13 - 98*u**2/13 + 100*u/13 = 0.
-50, 0, 1
Solve -5*w**2 + 1790*w - 160205 = 0.
179
Let -q**3/2 - q**2 + 5*q/2 + 3 = 0. Calculate q.
-3, -1, 2
Factor -26*a**2/21 + 50*a/7 - 100/21.
-2*(a - 5)*(13*a - 10)/21
Find q such that 16*q**4 - 232*q**3 + 897*q**2 - 406*q + 49 = 0.
1/4, 7
Factor 3*s**2/2 - 153*s/2 - 2268.
3*(s - 72)*(s + 21)/2
Determine j, given that 5*j**3 - 460*j**2 = 0.
0, 92
Solve 4*p**3/5 + 136*p**2/5 + 172*p + 728/5 = 0 for p.
-26, -7, -1
Factor 35*i**3 + 8495*i**2 + 6040*i - 2420.
5*(i + 1)*(i + 242)*(7*i - 2)
Find t, given that 15*t**5 - 276*t**4 + 108*t**3 + 12960*t**2 - 5184*t = 0.
-6, 0, 2/5, 12
Suppose -j**2 + 2608*j - 1700416 = 0. What is j?
1304
Find k such that -2*k**4/7 + 142*k**3/7 + 918*k**2/7 + 482*k/7 - 220 = 0.
-5, -2, 1, 77
Factor -3*x**4 - 75*x**3 - 567*x**2 - 729*x + 4374.
-3*(x - 2)*(x + 9)**3
Find c such that -c**3/5 - 3*c**2/5 + 16*c/5 + 48/5 = 0.
-4, -3, 4
Solve -5*l**3/3 + 110*l**2/3 - 505*l/3 + 400/3 = 0.
1, 5, 16
Factor -2*n**2 - 2*n + 84.
-2*(n - 6)*(n + 7)
Solve -5*d**3/2 - 241*d**2 - 665*d/2 = 0.
-95, -7/5, 0
Determine q so that 4*q**2 - 52*q + 48 = 0.
1, 12
Let -o**2 - 336*o - 335 = 0. Calculate o.
-335, -1
Determine f so that 2*f**4 + 12*f**3 + 8*f**2 - 48*f - 64 = 0.
-4, -2, 2
Determine i so that 4*i**3 + 148*i**2 + 1564*i + 3468 = 0.
-17, -3
Factor 5*k**5 + 295*k**4 + 6450*k**3 + 60750*k**2 + 185625*k - 253125.
5*(k - 1)*(k + 15)**4
Let -16*t**4 - 476*t**3 - 774*t**2 + 284*t + 112 = 0. Calculate t.
-28, -2, -1/4, 1/2
Let 2*r**4/9 + 290*r**3/9 - 604*r**2/3 = 0. Calculate r.
-151, 0, 6
Factor 5*g**4 + 325*g**3 + 4770*g**2 - 16660*g + 11560.
5*(g - 2)*(g - 1)*(g + 34)**2
Find x, given that -5*x**4 - 70*x**3 - 65*x**2 = 0.
-13, -1, 0
Factor 2*m**3/5 - 156*m**2/5.
2*m**2*(m - 78)/5
Solve -j**4/3 + 2*j**3/3 + j**2 - 4*j/3 - 4/3 = 0 for j.
-1, 2
Determine t so that t**5 - 10*t**4 + 37*t**3 - 64*t**2 + 52*t - 16 = 0.
1, 2, 4
Factor 3*m**3 - 63*m**2 - 3*m + 63.
3*(m - 21)*(m - 1)*(m + 1)
Factor -2*r**2/5 + 10*r + 140.
-2*(r - 35)*(r + 10)/5
Suppose -4*f**2 - 644*f + 1304 = 0. What is f?
-163, 2
Factor -4*b**3 + 13344*b**2 - 26676*b + 13336.
-4*(b - 3334)*(b - 1)**2
Factor -5*s**2/4 - 24155*s/4 + 6040.
-5*(s - 1)*(s + 4832)/4
Find s such that 2*s**3/7 - 2*s**2 - 16*s - 96/7 = 0.
-4, -1, 12
Determine k, given that -k**4 + 12*k**3 - 38*k**2 + 12*k + 63 = 0.
-1, 3, 7
Determine b so that b**3/3 + 881*b**2/3 + 195355*b/3 + 192721 = 0.
-439, -3
What is b in -3*b**5/7 + 6*b**3/7 - 3*b/7 = 0?
-1, 0, 1
Let -4*c**5 - 436*c**4 - 432*c**3 = 0. What is c?
-108, -1, 0
Find g, given that -g**2 + 130*g - 1089 = 0.
9, 121
What is s in -3*s**4/7 - 36*s**3/7 - 18*s**2 - 156*s/7 - 9 = 0?
-7, -3, -1
Factor 3*w**2/5 + 413*w/5 + 274/5.
(w + 137)*(3*w + 2)/5
Find z, given that 5*z**4 + 15*z**3 - 80*z**2 + 60*z = 0.
-6, 0, 1, 2
Solve 4*o**5 + 120*o**4 + 1440*o**3 + 8640*o**2 + 25920*o + 31104 = 0.
-6
Solve 3*q**4 + 24*q**3 - 147*q**2 - 24*q + 144 = 0.
-12, -1, 1, 4
Factor -v**3/2 + 10*v**2 - 37*v/2 + 9.
-(v - 18)*(v - 1)**2/2
Factor t**4/2 + 6*t**3 + 22*t**2 + 24*t.
t*(t + 2)*(t + 4)*(t + 6)/2
Determine p, given that -3*p**4/4 + 237*p**3/4 - 57*p**2 - 117*p = 0.
-1, 0, 2, 78
Determine f so that 75*f**5/7 + 165*f**4/7 - 1368*f**3/7 + 1896*f**2/7 - 912*f/7 + 144/7 = 0.
-6, 2/5, 1, 2
Solve -2*p**3 - 76*p**2 + 1302*p - 1224 = 0 for p.
-51, 1, 12
Solve -8*q**5 + 78*q**4 - 164*q**3 - 126*q**2 + 172*q + 48 = 0.
-1, -1/4, 1, 4, 6
Let -24*j**4 + 140*j**3 + 192*j**2 + 28*j = 0. What is j?
-1, -1/6, 0, 7
Factor 12*h**5 - 9*h**4 - 3*h**3.
3*h**3*(h - 1)*(4*h + 1)
Find a such that 5*a**5/2 - 28*a**4 + 88*a**3 - 39*a**2 - 261*a/2 + 27 = 0.
-1, 1/5, 3, 6
Factor 4*y**5 - 24*y**4 - 4*y**3 + 24*y**2.
4*y**2*(y - 6)*(y - 1)*(y + 1)
Factor z**2 - 18*z + 56.
(z - 14)*(z - 4)
What is i in 25*i**5/3 - 2510*i**4/3 - 6650*i**3/3 - 4640*i**2/3 + 505*i/3 + 1030/3 = 0?
-1, 2/5, 103
Factor 2*r**3/5 + 116*r**2/5 + 224*r/5.
2*r*(r + 2)*(r + 56)/5
Let 2*y*