+ 72*r**3 - 108*r**2 = 0?
-6, 0, 1
Determine r, given that -3*r**4/2 + 3*r**3/2 + 15*r**2/2 + 9*r/2 = 0.
-1, 0, 3
Solve 14*a**5/15 - 4*a**4 + 44*a**3/15 + 16*a**2/5 - 58*a/15 + 4/5 = 0 for a.
-1, 2/7, 1, 3
Factor -9*c**3 - 102*c**2 + 75*c + 36.
-3*(c - 1)*(c + 12)*(3*c + 1)
Factor -2*i**2 + 22*i + 24.
-2*(i - 12)*(i + 1)
Factor -11*l**4 + 7*l**3 + 4*l**2.
-l**2*(l - 1)*(11*l + 4)
Determine y so that -3*y**5/5 - 48*y**4 - 228*y**3/5 + 726*y**2/5 + 1191*y/5 + 474/5 = 0.
-79, -1, 2
Suppose -n**4/4 - 71*n**3/4 - 1519*n**2/4 - 8649*n/4 = 0. What is n?
-31, -9, 0
Factor -w**2/4 + 119*w/4 + 183/2.
-(w - 122)*(w + 3)/4
Suppose 48*m**4 + 1464*m**3 - 2349*m**2 - 1446*m - 192 = 0. What is m?
-32, -1/4, 2
Factor 2*k**2/7 + 4*k + 14.
2*(k + 7)**2/7
Factor 75*g**3/2 + 25005*g**2/2 + 9993*g/2 + 999/2.
3*(g + 333)*(5*g + 1)**2/2
What is v in -2*v**5/7 - 4*v**4/7 + 4*v**2/7 + 2*v/7 = 0?
-1, 0, 1
Find t such that 3*t**3 + 42*t**2 + 39*t = 0.
-13, -1, 0
Solve g**4/9 - 1082*g**3/9 + 32520*g**2 + 1082*g/9 - 292681/9 = 0.
-1, 1, 541
Determine b so that -b**3 + 104*b**2 - 103*b = 0.
0, 1, 103
Let 25*j**5 + 70*j**4 - 75*j**3 - 160*j**2 + 140*j = 0. Calculate j.
-14/5, -2, 0, 1
Find v, given that 3*v**2/5 + 6*v/5 - 9/5 = 0.
-3, 1
Solve -18*l**2 + 123*l + 21 = 0 for l.
-1/6, 7
Solve -2*c**2/5 - 3141*c/5 + 1571/5 = 0 for c.
-1571, 1/2
Determine h so that h**3 - 41*h**2 + 559*h - 2535 = 0.
13, 15
Factor 5*z**5 + 35*z**4 - 135*z**3 + 145*z**2 - 50*z.
5*z*(z - 1)**3*(z + 10)
Factor 4*g**4 + 16*g**3 - 20*g**2 - 144*g - 144.
4*(g - 3)*(g + 2)**2*(g + 3)
Factor o**2/2 + 436*o + 95048.
(o + 436)**2/2
Find a such that 5*a**5 + 55*a**4 - 370*a**3 + 480*a**2 = 0.
-16, 0, 2, 3
Factor 2*m**3/9 - 250*m**2/9 + 976*m/9 - 968/9.
2*(m - 121)*(m - 2)**2/9
Find p such that 7*p**4/2 - 261*p**3/2 - 264*p**2 + 1178*p - 312 = 0.
-4, 2/7, 2, 39
Factor 2*u**4/5 - 2*u**3 + 14*u**2/5 - 6*u/5.
2*u*(u - 3)*(u - 1)**2/5
Suppose 5*w**2/6 + 21*w/2 + 6 = 0. Calculate w.
-12, -3/5
Find v, given that -v**2/3 + 1100*v/3 - 302500/3 = 0.
550
Factor -2*f**2/9 + 304*f/3 - 11552.
-2*(f - 228)**2/9
Factor -a**2/4 - 603*a - 363609.
-(a + 1206)**2/4
Determine p so that p**2 + 20*p - 189 = 0.
-27, 7
Solve l**2/3 - 156*l + 18252 = 0.
234
Factor -2*x**2 + 20*x - 32.
-2*(x - 8)*(x - 2)
Factor 2*i**2/7 - 576*i/7 + 41472/7.
2*(i - 144)**2/7
Let 2*a**4 - 106*a**3/3 - 292*a**2/3 + 80*a = 0. What is a?
-3, 0, 2/3, 20
Factor -145*w**2/8 - 39*w/8 - 1/4.
-(5*w + 1)*(29*w + 2)/8
Let v**4/2 + 4*v**3 + 8*v**2 = 0. What is v?
-4, 0
Solve 27*m**5 + 57*m**4 + 6*m**3 = 0.
-2, -1/9, 0
Determine w, given that -8649*w**2/4 - 93*w/2 - 1/4 = 0.
-1/93
Factor u**2/5 - 11*u/5 + 18/5.
(u - 9)*(u - 2)/5
Let 8*x**2/13 + 11394*x/13 + 2848/13 = 0. Calculate x.
-1424, -1/4
Factor r**4/3 - 55*r**3 + 164*r**2/3.
r**2*(r - 164)*(r - 1)/3
Factor -5*v**3 + 22845*v**2 - 34792935*v + 17663213335.
-5*(v - 1523)**3
Solve 330*t**5 + t**4 - 1650*t**3 - 5*t**2 + 1320*t + 4 = 0.
-2, -1, -1/330, 1, 2
Find t, given that t**3/3 + 2*t**2 + 8*t/3 = 0.
-4, -2, 0
Factor 76*l**2/3 + 904*l/3 - 32.
4*(l + 12)*(19*l - 2)/3
Factor 10*o**2/3 + 28*o/9 - 2/9.
2*(o + 1)*(15*o - 1)/9
What is v in -9*v**3/5 - 204*v**2/5 - 132*v/5 = 0?
-22, -2/3, 0
Let 2*d**4/7 - 30*d**3/7 - 334*d**2/7 - 762*d/7 - 460/7 = 0. What is d?
-5, -2, -1, 23
Factor -3*l**5 + 3*l**4 + 15*l**3 + 9*l**2.
-3*l**2*(l - 3)*(l + 1)**2
Factor 14*w**3/9 - 16*w**2 + 376*w/9 - 32/3.
2*(w - 6)*(w - 4)*(7*w - 2)/9
Let n**4/6 - 43*n**3/6 + 20*n**2 + 2*n/3 - 80/3 = 0. Calculate n.
-1, 2, 40
What is y in 3*y**5/7 - 3*y**4/7 - 6*y**3/7 + 6*y**2/7 + 3*y/7 - 3/7 = 0?
-1, 1
Suppose 21*u**3/4 - 2481*u**2/2 - 3561*u/4 + 711/2 = 0. What is u?
-1, 2/7, 237
Factor 6*l**5 + 41*l**4 - 115*l**3 + 18*l**2.
l**2*(l - 2)*(l + 9)*(6*l - 1)
Solve r**2 + 5*r - 24 = 0 for r.
-8, 3
Factor -8*y**4/15 + 38*y**3/3 - 368*y**2/5 - 96*y/5.
-2*y*(y - 12)**2*(4*y + 1)/15
Factor -154*b**2/5 + 1076*b/5 + 64.
-2*(7*b + 2)*(11*b - 80)/5
Suppose 100*g**5 + 320*g**4 + 96*g**3 - 256*g**2 + 64*g = 0. Calculate g.
-2, 0, 2/5
Factor -u**3/6 - 2*u**2/3 + 11*u/6 - 1.
-(u - 1)**2*(u + 6)/6
Let 3*a**5 - 12*a**4 + 12*a**3 = 0. What is a?
0, 2
Factor 4*x**4 - 64*x**3 + 384*x**2 - 1024*x + 1024.
4*(x - 4)**4
Determine o, given that -9*o**4/4 - 51*o**3/2 - 7*o**2 + 27*o/2 - 11/4 = 0.
-11, -1, 1/3
Find r such that 25*r**5 - 140*r**4 - 35*r**3 + 610*r**2 - 260*r - 200 = 0.
-2, -2/5, 1, 2, 5
Factor 4*z**3 + 12*z**2 - 16*z.
4*z*(z - 1)*(z + 4)
Find r such that 3*r**2 - 45*r + 42 = 0.
1, 14
Factor 45*b**2 + 4015*b + 890.
5*(b + 89)*(9*b + 2)
Let -2*z**5/9 + 4*z**4/9 + 20*z**3/9 - 16*z**2/9 - 22*z/3 - 4 = 0. Calculate z.
-2, -1, 3
Factor x**4/2 - 7*x**3 + 6*x**2 + 7*x - 13/2.
(x - 13)*(x - 1)**2*(x + 1)/2
Factor -2*p**4/7 - 52*p**3/7 - 50*p**2/7.
-2*p**2*(p + 1)*(p + 25)/7
Factor -2*l**3/3 + 140*l**2/3 + 96*l.
-2*l*(l - 72)*(l + 2)/3
Let -3*j**4/4 + 21*j**3/2 - 45*j**2 + 75*j/2 + 375/4 = 0. Calculate j.
-1, 5
Determine i so that -4*i**5 + 4*i**4 + 24*i**3 + 8*i**2 - 20*i - 12 = 0.
-1, 1, 3
Determine s so that 3*s**3 - 1989*s**2 = 0.
0, 663
Factor n**2/4 + 34*n + 67.
(n + 2)*(n + 134)/4
Factor 4*q**2 + 6*q/7 - 10/7.
2*(2*q - 1)*(7*q + 5)/7
Find c such that 2*c**2/13 + 50*c/13 - 1428/13 = 0.
-42, 17
Solve 2*f**3/11 - 518*f**2/11 - 2096*f/11 - 2104/11 = 0 for f.
-2, 263
Solve 49*h**2/3 - 28*h/3 + 4/3 = 0.
2/7
Factor 3*y**2 + 42*y + 147.
3*(y + 7)**2
Factor 3*y**2 - 1452*y - 2916.
3*(y - 486)*(y + 2)
Factor -16*o**3 - 28*o**2 - 12*o.
-4*o*(o + 1)*(4*o + 3)
Suppose -4*b**3 - 116*b**2 - 588*b - 828 = 0. What is b?
-23, -3
Factor -15*t**4 - 155*t**3 - 185*t**2 - 45*t.
-5*t*(t + 1)*(t + 9)*(3*t + 1)
Find k, given that 2*k**5/7 + 18*k**4/7 + 40*k**3/7 + 24*k**2/7 = 0.
-6, -2, -1, 0
Factor 2*n**5/9 - 26*n**4/9 + 116*n**3/9 - 20*n**2 - 6*n + 30.
2*(n - 5)*(n - 3)**3*(n + 1)/9
Factor 2*j**2/5 + 42*j - 212/5.
2*(j - 1)*(j + 106)/5
Suppose s**2/2 - 524*s + 137288 = 0. What is s?
524
Factor 3*w**4/4 - 63*w**3/4 - 105*w**2/2 - 36*w.
3*w*(w - 24)*(w + 1)*(w + 2)/4
Factor -a**4 - 17*a**3 - 44*a**2 - 28*a.
-a*(a + 1)*(a + 2)*(a + 14)
Factor -13*s**2 + 74*s/3 + 8/3.
-(s - 2)*(39*s + 4)/3
Factor -3*t**4 - 60*t**3 - 33*t**2 + 492*t + 684.
-3*(t - 3)*(t + 2)**2*(t + 19)
Factor m**5 - m**4 - 10*m**3 - 8*m**2.
m**2*(m - 4)*(m + 1)*(m + 2)
Let 2*u**2/9 - 50*u/9 - 100/3 = 0. Calculate u.
-5, 30
Factor d**3/2 - 3*d**2 + 9*d/2 - 2.
(d - 4)*(d - 1)**2/2
Determine n so that -2*n**5/15 - 302*n**4/5 - 7106*n**3 - 900382*n**2/15 - 97088*n + 164280 = 0.
-222, -5, 1
Let -4*q**2 - 208*q - 400 = 0. Calculate q.
-50, -2
Let p**5/5 + 27*p**4 + 1928*p**3/5 + 2536*p**2/5 - 7536*p + 9520 = 0. What is p?
-119, -10, 2
Factor 4*g**4 - 16*g**3 - 4*g**2 + 16*g.
4*g*(g - 4)*(g - 1)*(g + 1)
Factor k**2/5 - 7*k/5 - 144/5.
(k - 16)*(k + 9)/5
What is t in 2*t**4 - 18*t**3 - 104*t**2 = 0?
-4, 0, 13
Solve -2*v**3 - 21*v**2/4 - 7*v/4 + 3/2 = 0 for v.
-2, -1, 3/8
Factor -w**4/4 - 45*w**3/4 - 569*w**2/4 - 1407*w/4 - 441/2.
-(w + 1)*(w + 2)*(w + 21)**2/4
Solve -r**2 - 25*r + 84 = 0.
-28, 3
Factor -56307*k**3/5 + 11919*k**2/5 + 7128*k + 8748/5.
-3*(k - 1)*(137*k + 54)**2/5
Factor -2*s**2/3 - 92*s/3 - 1058/3.
-2*(s + 23)**2/3
Determine p, given that 3*p**2 + 378*p = 0.
-126, 0
Suppose 2*d**4 + 74*d**3 + 716*d**2 + 504*d - 1296 = 0. Calculate d.
-18, -2, 1
Factor -14*q**3/13 - 2456*q**2/13 - 1050*q/13.
-2*q*(q + 175)*(7*q + 3)/13
Solve -2*j**3/9 + 2992*j**2/9 + 6002*j/3 + 3004 = 0 for j.
-3, 1502
Factor -3*c**3/2 - 153*c**2/2 - 660*c.
-3*c*(c + 11)*(c + 40)/2
Factor 4*l**4 + 44*l**3 + 76*l**2 + 36*l.
4*l*(l + 1)**2*(l + 9)
Factor 4*b**2 - 148*b - 2352.
4*(b - 49)*(b + 12)
Let w**5/3 - 6*w**4 + 20*w**3 - 56*w**2/3 = 0. Calculate w.
0, 2, 14
Let 21*p**2 + 132*p + 36 = 0. What is p?
-6, -2/7
Let g**4/2 + 29*g**3/4 - 161*g**2/4 + 187*g/4 - 57/4 = 0. What is g?
-19, 1/2, 1, 3
Factor -3*x**4 + 87*x**3 - 84*x**2.
-3*x**2*(x - 28)*(x - 1)
Find y, given that -y**3/8 - 19*y**2/4 + 127*y/8 + 41/2 = 0.
-41, -1, 4
Factor o**5/7 - 9*o**4/7 + 18*o**3/7 + 32*o**2/7 - 96*o/7.
o*(o - 4)**2*(o - 3)*(o + 2)/7
Factor 2*k**2/9 - 808*k/3 + 81608.
2*(k - 606)**2/9
Suppose 2*w**4 - 198*w**3 - 814*w**2 - 1026*w - 412 = 0. Calculate w.
-2, -1, 103
What is x in 4*x**5 - 2448*x**4 + 2441*x**3 + 1835*x**2 - 1221*x - 611 = 0?
-1/2, 1, 611
Let -45*a**4 + 