 50*o = 0. Calculate o.
-25, -1, 0
Determine c, given that 4*c**5/5 - 1224*c**4/5 - 12*c**3/5 + 3664*c**2/5 + 2448*c/5 = 0.
-1, 0, 2, 306
Determine n so that 5*n**3 + 45*n**2 + 130*n + 120 = 0.
-4, -3, -2
Determine r, given that -5*r**4 - 645*r**3 - 1905*r**2 - 1895*r - 630 = 0.
-126, -1
Factor -3*c**3/2 + 14*c**2 - 5*c/2 - 18.
-(c - 9)*(c + 1)*(3*c - 4)/2
Let -r**3 - 9*r**2 + 25*r + 33 = 0. Calculate r.
-11, -1, 3
Factor 5*a**3 - 65*a**2 + 275*a - 375.
5*(a - 5)**2*(a - 3)
Suppose -5*c**5 + 75*c**4 - 215*c**3 - 735*c**2 + 1840*c - 960 = 0. Calculate c.
-3, 1, 8
Factor 30*l**2 - 123*l + 12.
3*(l - 4)*(10*l - 1)
Factor 5*h**5 - 13685*h**4 + 12476130*h**3 - 3780194330*h**2 - 7647995575*h + 11415727455.
5*(h - 913)**3*(h - 1)*(h + 3)
Factor 6*b**4/7 - 32*b**3/7 + 48*b**2/7 - 32/7.
2*(b - 2)**3*(3*b + 2)/7
Factor 578*l**4/9 + 6494*l**3/9 + 1504*l**2/9 + 88*l/9.
2*l*(l + 11)*(17*l + 2)**2/9
Factor 4*x**3/3 - 2636*x**2/3 + 144320*x + 145200.
4*(x - 330)**2*(x + 1)/3
What is x in x**3 + 225*x**2 + 16875*x + 421875 = 0?
-75
Factor h**3/2 - 7*h**2/2 + 7*h - 4.
(h - 4)*(h - 2)*(h - 1)/2
Factor -4*m**3 + 344*m**2 + 4*m - 344.
-4*(m - 86)*(m - 1)*(m + 1)
Solve 5*q**4 + 17*q**3 + 17*q**2/5 - 37*q/5 + 6/5 = 0 for q.
-3, -1, 1/5, 2/5
Factor -4*j**5 - 52*j**4 - 216*j**3 - 368*j**2 - 224*j.
-4*j*(j + 2)**3*(j + 7)
Find o such that 35*o**2/4 + 103*o/4 - 3/2 = 0.
-3, 2/35
Solve 3*o**4/4 - 123*o**3/2 + 5499*o**2/4 - 4563*o = 0 for o.
0, 4, 39
What is r in 5*r**4 - 755*r**3 + 37485*r**2 - 585225*r - 1326510 = 0?
-2, 51
Determine f so that -5*f**5 - 355*f**4 - 1690*f**3 - 2660*f**2 - 1320*f = 0.
-66, -2, -1, 0
Solve 4*c**2 + 4*c = 0.
-1, 0
Suppose -6*p**5/11 + 64*p**4/11 + 94*p**3/11 + 24*p**2/11 = 0. What is p?
-1, -1/3, 0, 12
Factor 2*z**2 + 2000*z - 2002.
2*(z - 1)*(z + 1001)
Factor -p**3/6 + 43*p**2/2 - 84*p + 250/3.
-(p - 125)*(p - 2)**2/6
Find t such that t**4/4 + 13*t**3/4 - 477*t**2/4 + 2511*t/4 = 0.
-31, 0, 9
Factor j**4 + 23*j**3 - 75*j**2 + 77*j - 26.
(j - 1)**3*(j + 26)
Solve -47*p**3 + 279*p**2 - 405*p - 27 = 0.
-3/47, 3
Find u such that 4*u**3/5 - 12*u/5 + 8/5 = 0.
-2, 1
Factor c**3/2 - 33*c**2/2 - 69*c/2 - 35/2.
(c - 35)*(c + 1)**2/2
Let 2*m**2/9 + 4*m/9 = 0. What is m?
-2, 0
Suppose -2*m**2/9 + 74*m/9 - 88/3 = 0. What is m?
4, 33
Factor -2*c**4 - 34*c**3/5 - 16*c**2/5 + 24*c/5.
-2*c*(c + 2)**2*(5*c - 3)/5
Factor -2*r**4 - 22*r**3 - 76*r**2 - 104*r - 48.
-2*(r + 1)*(r + 2)**2*(r + 6)
Let -4*x**2/9 - 272*x - 2444/9 = 0. What is x?
-611, -1
Factor n**2 + 46*n + 529.
(n + 23)**2
Suppose -2*p**4/9 + p**3/3 + 4*p**2/3 - 7*p/9 - 2/3 = 0. What is p?
-2, -1/2, 1, 3
Factor 100*k**2 - 100*k - 504.
4*(5*k - 14)*(5*k + 9)
Determine q so that -8*q**3 + 20*q**2 = 0.
0, 5/2
Factor k**4/9 - 11*k**3/9 + 26*k**2/9 - 16*k/9.
k*(k - 8)*(k - 2)*(k - 1)/9
Suppose -3*s**3 + 186*s**2 + 3045*s + 11172 = 0. What is s?
-7, 76
Factor 2*s**3 - 3018*s**2 + 1518054*s - 254527054.
2*(s - 503)**3
Solve -n**4 + 9*n**3 - 20*n**2 = 0 for n.
0, 4, 5
Let -2*l**2 - 560*l + 562 = 0. Calculate l.
-281, 1
Factor 5546025*i**2/2 + 4710*i + 2.
(2355*i + 2)**2/2
Find i such that i**3/3 - 24*i**2 + 576*i - 4608 = 0.
24
Factor -4*x**2 - 608*x - 23104.
-4*(x + 76)**2
Determine t, given that -t**5 - 121*t**4 - 3471*t**3 + 11653*t**2 + 3472*t - 11532 = 0.
-62, -1, 1, 3
Determine f so that 2*f**4 + 92*f**3 + 88*f**2 - 92*f - 90 = 0.
-45, -1, 1
Suppose -250*y**5 - 950*y**4 + 1380*y**3 - 584*y**2 + 80*y = 0. Calculate y.
-5, 0, 2/5
Let -225*i**2/4 - 60*i - 16 = 0. What is i?
-8/15
Solve 8*d**5 + 42*d**4 - 726*d**3 + 1064*d**2 + 312*d = 0 for d.
-13, -1/4, 0, 2, 6
Factor 15*n**5 - 9*n**4 - 51*n**3 + 57*n**2 - 12.
3*(n - 1)**3*(n + 2)*(5*n + 2)
Suppose 1089*v**4 - 1848*v**3 + 927*v**2 - 180*v + 12 = 0. Calculate v.
2/11, 1/3, 1
Factor -4*x**3 + 4*x**2 + 848*x + 4080.
-4*(x - 17)*(x + 6)*(x + 10)
Factor 4*k**3 + 100*k**2 + 748*k + 1452.
4*(k + 3)*(k + 11)**2
Factor -3*i**3 - 87*i**2 - 720*i - 1836.
-3*(i + 6)**2*(i + 17)
Factor -2*o**2 - 162*o + 332.
-2*(o - 2)*(o + 83)
Factor -4*l**4 - 84*l**3 + 108*l**2 + 452*l + 264.
-4*(l - 3)*(l + 1)**2*(l + 22)
Factor 3*q**2/4 - 27*q - 111/4.
3*(q - 37)*(q + 1)/4
Let -q**4/6 + 7*q**3/6 - q**2 = 0. What is q?
0, 1, 6
Suppose 6*t**3/7 - 198*t**2/7 + 288*t - 840 = 0. Calculate t.
5, 14
Suppose 14*w**5/3 + 44*w**4 + 388*w**3/3 + 512*w**2/3 + 106*w + 76/3 = 0. What is w?
-38/7, -1
Factor -2*m**3 + 8*m**2 - 10*m + 4.
-2*(m - 2)*(m - 1)**2
Determine z so that 3*z**5 - 39*z**4 + 90*z**3 + 174*z**2 - 93*z - 135 = 0.
-1, 1, 5, 9
Find x such that -x**4 + 2*x**3 + 19*x**2 - 20*x = 0.
-4, 0, 1, 5
Find n, given that -4*n**2 - 800*n - 796 = 0.
-199, -1
Factor v**4 + 2*v**3 + v**2.
v**2*(v + 1)**2
What is l in -4*l**5 - 22*l**4 + 14*l**3 + 12*l**2 = 0?
-6, -1/2, 0, 1
Factor 5*o**3 + 50*o**2 + 65*o - 120.
5*(o - 1)*(o + 3)*(o + 8)
Factor 6*i**3/5 - 152*i**2/5 + 526*i/5 + 84.
2*(i - 21)*(i - 5)*(3*i + 2)/5
Determine p so that -2*p**2/5 + 14*p/5 - 24/5 = 0.
3, 4
Solve 4*s**3 + 5404*s**2 + 1822496*s - 1827904 = 0 for s.
-676, 1
Factor -m**4/4 + 33*m**3/4 - 351*m**2/4 + 1183*m/4.
-m*(m - 13)**2*(m - 7)/4
Solve 5*o**4/4 - 5*o**3 + 5*o**2 = 0.
0, 2
Determine r, given that 28*r**4 - 720*r**3 - 2588*r**2 - 2304*r - 464 = 0.
-2, -1, -2/7, 29
Determine h, given that -h**2 - 7*h + 8 = 0.
-8, 1
Factor m**2 - 21*m.
m*(m - 21)
Factor 2*b**3 + 492*b**2 + 28728*b - 190512.
2*(b - 6)*(b + 126)**2
Determine x, given that 4*x**3 - 6656*x**2 - 4*x + 6656 = 0.
-1, 1, 1664
Factor 2*x**2 + 124*x + 1922.
2*(x + 31)**2
Factor -c**2/7 + 136*c/7 - 4624/7.
-(c - 68)**2/7
Suppose -3*y**2/7 - 192*y/7 - 192 = 0. What is y?
-56, -8
Factor 2*b**3/3 + 4*b**2/3 - 2*b.
2*b*(b - 1)*(b + 3)/3
Let 4*v**5 + 32*v**4 + 72*v**3 + 64*v**2 + 20*v = 0. What is v?
-5, -1, 0
Find o such that 4*o**2 - 24112*o + 36336784 = 0.
3014
Factor 3*b**3 + 54*b**2 - 183*b + 126.
3*(b - 2)*(b - 1)*(b + 21)
Find i, given that -4*i**5/5 - 44*i**4/5 - 156*i**3/5 - 148*i**2/5 + 32*i + 192/5 = 0.
-4, -3, -1, 1
Factor -5*v**3 - 45*v**2 + 110*v + 600.
-5*(v - 4)*(v + 3)*(v + 10)
Suppose 5*f**3 + 25*f**2 - 5*f - 25 = 0. What is f?
-5, -1, 1
Find g such that 4*g**4 + 76*g**3 + 240*g**2 = 0.
-15, -4, 0
Let -9*w**5 - 2049*w**4 + 694*w**3 + 6836*w**2/3 - 920*w/3 - 608 = 0. What is w?
-228, -2/3, 2/3, 1
Find u such that u**3/2 - 3*u**2/2 - 8*u - 6 = 0.
-2, -1, 6
Factor 3*h**2/5 + 1062*h/5 - 3213/5.
3*(h - 3)*(h + 357)/5
Solve -l**5/4 - 25*l**4/4 - 189*l**3/4 - 243*l**2/4 + 729*l/2 = 0 for l.
-9, 0, 2
Factor -2*o**4 + 10*o**3 + 2*o**2 - 10*o.
-2*o*(o - 5)*(o - 1)*(o + 1)
Find y such that 2*y**5/7 + 232*y**4/7 - 236*y**3/7 - 232*y**2/7 + 234*y/7 = 0.
-117, -1, 0, 1
Factor b**3 - 28*b**2 + 176*b - 320.
(b - 20)*(b - 4)**2
Let -2*z**5/7 - 4*z**4/7 + 24*z**3/7 + 80*z**2/7 + 64*z/7 = 0. What is z?
-2, 0, 4
Solve -5*g**2 - 805*g + 810 = 0.
-162, 1
Factor -5*j**5 - 300*j**4 - 1140*j**3 - 1120*j**2.
-5*j**2*(j + 2)**2*(j + 56)
Factor 16*h**2/3 + 94*h/9 - 4/9.
2*(h + 2)*(24*h - 1)/9
Factor m**2/3 - 13*m/3 - 126.
(m - 27)*(m + 14)/3
Solve 5*h**2 - 60*h - 8225 = 0 for h.
-35, 47
Factor -5*b**2 - 305*b + 310.
-5*(b - 1)*(b + 62)
Determine c so that 200*c**3 - 960*c**2 - 198*c - 10 = 0.
-1/10, 5
Factor 2*b**4 - 44*b**3 - 2*b**2 + 44*b.
2*b*(b - 22)*(b - 1)*(b + 1)
Let 3*p**3 - 27*p**2 + 72*p - 60 = 0. Calculate p.
2, 5
Factor x**4 - 2*x**3 - 75*x**2 - 244*x - 220.
(x - 11)*(x + 2)**2*(x + 5)
Let -3*h**2/5 + 3*h/5 + 144 = 0. Calculate h.
-15, 16
Factor -2*h**3 + 14*h**2 - 30*h + 18.
-2*(h - 3)**2*(h - 1)
Let d**3/7 + 20*d**2/7 - 25*d/7 - 500/7 = 0. What is d?
-20, -5, 5
Factor -2*g**5 + 12*g**4 + 92*g**3 + 184*g**2 + 150*g + 44.
-2*(g - 11)*(g + 1)**3*(g + 2)
Let 13*t**2 - 899*t + 138 = 0. Calculate t.
2/13, 69
Determine y so that 2*y**2/11 - 178*y/11 + 1440/11 = 0.
9, 80
Factor m**2/3 - 3*m - 12.
(m - 12)*(m + 3)/3
Suppose -4*u**4 - 61*u**3 - 228*u**2 + 61*u + 232 = 0. Calculate u.
-8, -29/4, -1, 1
Find q, given that -2*q**3/9 + 2*q**2/9 + 32*q/9 - 32/9 = 0.
-4, 1, 4
Find x, given that -2*x**5/13 - 116*x**4/13 + 742*x**3/13 - 1640*x**2/13 + 1528*x/13 - 512/13 = 0.
-64, 1, 2
Suppose -3*y**5 - 6*y**4 + 84*y**3 - 138*y**2 + 63*y = 0. What is y?
-7, 0, 1, 3
Determine d, given that -2*d**3 + 518*d**2 - 32208*d - 174240 = 0.
-5, 132
Factor -o**2/3 - 442*o - 146523.
-(o +