- 268912 = 0.
-1372
Factor -4*r**2 - 376*r + 1164.
-4*(r - 3)*(r + 97)
Factor -3*z**3 + 213*z**2.
-3*z**2*(z - 71)
Factor -3*z**2/2 - 3141*z - 3288627/2.
-3*(z + 1047)**2/2
Factor d**4/5 - 22*d**3/5 - 47*d**2/5 - 24*d/5.
d*(d - 24)*(d + 1)**2/5
Let 3*v**2/7 - 495*v/7 - 216 = 0. What is v?
-3, 168
Factor -d**2 + 58*d + 59.
-(d - 59)*(d + 1)
Factor -2*a**2/13 + 184*a/13 - 704/13.
-2*(a - 88)*(a - 4)/13
Determine u, given that -6*u**5/7 + 3*u**4/7 + 9*u**3/7 - 3*u**2/7 - 3*u/7 = 0.
-1, -1/2, 0, 1
Suppose -2*u**5/7 - 20*u**4/7 - 74*u**3/7 - 120*u**2/7 - 72*u/7 = 0. What is u?
-3, -2, 0
Determine z so that -2*z**2 - 72*z - 70 = 0.
-35, -1
Factor 3*w**3/5 - 6*w**2 + 81*w/5 - 54/5.
3*(w - 6)*(w - 3)*(w - 1)/5
Determine s so that -s**5/3 + 113*s**4/3 - 440*s**3/3 + 436*s**2/3 = 0.
0, 2, 109
Determine n so that -n**3/2 - 4*n**2 - 6*n = 0.
-6, -2, 0
Factor 2*x**4 - 4*x**3 - 2*x**2 + 4*x.
2*x*(x - 2)*(x - 1)*(x + 1)
Find n, given that -n**3/3 - 187*n**2/6 - 137*n/3 + 92/3 = 0.
-92, -2, 1/2
Factor 20*r**2/3 + 61*r/3 + 1.
(r + 3)*(20*r + 1)/3
Factor -w**3 - 6*w**2 - 11*w - 6.
-(w + 1)*(w + 2)*(w + 3)
Determine a, given that 10*a**5/17 - 304*a**4/17 - 1560*a**3/17 - 1748*a**2/17 - 82*a/17 + 420/17 = 0.
-3, -1, 2/5, 35
Factor 2*d**4/11 + 12*d**3/11 + 16*d**2/11.
2*d**2*(d + 2)*(d + 4)/11
Determine y so that 7*y**3/4 + 607*y**2/4 - 1361*y/2 + 182 = 0.
-91, 2/7, 4
Factor -3*c**2 + 174*c.
-3*c*(c - 58)
Suppose -z**2 + 39*z + 40 = 0. Calculate z.
-1, 40
Determine j so that -5*j**3 + 445*j**2 + 2330*j + 1880 = 0.
-4, -1, 94
Factor -c**3/5 + 2*c**2 + 32*c/5 - 384/5.
-(c - 8)**2*(c + 6)/5
Factor 5*l**3 + 1435*l**2 + 105080*l + 302460.
5*(l + 3)*(l + 142)**2
Factor 9*h**5 + 1842*h**4 + 126073*h**3 + 2913324*h**2 + 1900464*h + 314432.
(h + 68)**3*(3*h + 1)**2
What is y in -2*y**3/7 - 7520*y**2/7 - 7061274*y/7 + 14152644/7 = 0?
-1881, 2
Find h such that 4*h**2 - 2040*h = 0.
0, 510
Factor b**2 + 4994*b + 6235009.
(b + 2497)**2
Factor 25*d**4 - 115*d**3 - 375*d**2 - 305*d - 70.
5*(d - 7)*(d + 1)**2*(5*d + 2)
Determine x, given that -x**5/5 - 68*x**4/5 - 112*x**3 - 350*x**2 - 2319*x/5 - 1062/5 = 0.
-59, -3, -2, -1
Find j, given that j**2 + 13*j - 68 = 0.
-17, 4
Factor 2*f**2/15 + 880*f/3 + 484000/3.
2*(f + 1100)**2/15
Factor 2*b**5/7 - 32*b**4/7 + 12*b**3 - 80*b**2/7 + 26*b/7.
2*b*(b - 13)*(b - 1)**3/7
Suppose 7*j**4/5 + j**3 - 72*j**2/5 + 76*j/5 - 16/5 = 0. What is j?
-4, 2/7, 1, 2
Factor -2*t**2/5 - 488*t - 148840.
-2*(t + 610)**2/5
Determine a, given that 54*a**4 + 720*a**3 + 228*a**2 - 80*a - 26 = 0.
-13, -1/3, 1/3
Let -c**2 + 49*c/3 - 16/3 = 0. Calculate c.
1/3, 16
Factor -q**3/10 - 8*q**2/5 - 77*q/10 - 49/5.
-(q + 2)*(q + 7)**2/10
Let z**2 + 3*z - 28 = 0. Calculate z.
-7, 4
Factor 4*r**4/3 + 4*r**3/3 - 40*r**2/3 + 32*r/3.
4*r*(r - 2)*(r - 1)*(r + 4)/3
Factor z**4/5 - 46*z**3/5 - 155*z**2 - 760*z - 1200.
(z - 60)*(z + 4)*(z + 5)**2/5
Factor b**4 + 32*b**3 + 334*b**2 + 1248*b + 1521.
(b + 3)**2*(b + 13)**2
Find f, given that 2*f**4/3 + 16*f**3/3 + 26*f**2/3 + 4*f = 0.
-6, -1, 0
What is y in -205*y**4 + 1307*y**3 - 2305*y**2 + 681*y + 18 = 0?
-1/41, 2/5, 3
Solve x**3/5 + 4*x**2/5 - 29*x/5 + 24/5 = 0 for x.
-8, 1, 3
Solve -4*s**2 - 488*s - 3648 = 0.
-114, -8
Solve -2*h**5 + 6*h**4 + 82*h**3 + 210*h**2 + 208*h + 72 = 0 for h.
-2, -1, 9
Factor -3*v**5 + 3111*v**4.
-3*v**4*(v - 1037)
Factor -i**3/2 - 39*i**2/2 + 84*i + 6664.
-(i - 17)*(i + 28)**2/2
Solve -5*c**4 + 15*c**3 + 75*c**2 + 85*c + 30 = 0 for c.
-1, 6
Find k, given that 2*k**3 - 140*k**2 + 2584*k - 4624 = 0.
2, 34
Suppose 5*u**3 + 170*u**2 = 0. Calculate u.
-34, 0
Suppose 2*m**5 + 30*m**4 + 138*m**3 + 202*m**2 - 84*m - 288 = 0. What is m?
-8, -3, -2, 1
Factor -2*z**2 - 370*z + 372.
-2*(z - 1)*(z + 186)
Factor 2*i**2/5 - 12*i/5 + 2.
2*(i - 5)*(i - 1)/5
Let 14739*x**4 + 449973*x**3 + 235467*x**2 + 41391*x + 2430 = 0. Calculate x.
-30, -3/17
Determine y, given that -2*y**4/17 + 8*y**3/17 + 20*y**2/17 - 56*y/17 + 30/17 = 0.
-3, 1, 5
Factor -3*r**3 - 9*r**2.
-3*r**2*(r + 3)
Solve 16*j**2/5 + 34*j/5 + 18/5 = 0.
-9/8, -1
Determine t so that -2*t**4 + 64*t**3 - 618*t**2 + 1196*t + 5408 = 0.
-2, 8, 13
Factor 2*x**3 - 76*x**2 + 850*x - 2312.
2*(x - 17)**2*(x - 4)
Suppose 3*s**2 + 552*s + 25392 = 0. Calculate s.
-92
Factor 2*h**3/15 + 22*h**2/5 + 224*h/5 + 2176/15.
2*(h + 8)**2*(h + 17)/15
Determine g so that -27*g**2/7 - 69*g/7 - 30/7 = 0.
-2, -5/9
Factor -g**4/7 + 30*g**3/7 - 184*g**2/7 - 768*g/7 + 2048/7.
-(g - 16)**2*(g - 2)*(g + 4)/7
What is f in -f**2 - 35*f - 66 = 0?
-33, -2
Solve -6*m**3/11 - 292*m**2/11 + 98*m/11 = 0.
-49, 0, 1/3
Let 432*z**3 - 1224*z**2 + 1155*z - 363 = 0. What is z?
11/12, 1
Let 282*j**2 + 566*j/3 + 4/9 = 0. Calculate j.
-2/3, -1/423
Solve -2*s**5/7 + 4*s**4/7 - 4*s**2/7 + 2*s/7 = 0.
-1, 0, 1
Determine r, given that -25*r**4 + 715*r**3 - 411*r**2 - 251*r - 28 = 0.
-1/5, 1, 28
Factor -2*b**3 + 164*b**2/7 - 456*b/7 - 144/7.
-2*(b - 6)**2*(7*b + 2)/7
Let 8*x**4/9 - 14624*x**3/9 - 29270*x**2/9 - 18298*x/9 - 1220/3 = 0. What is x?
-1, -1/2, 1830
Factor 4*f**2/7 + 640*f/7 + 25600/7.
4*(f + 80)**2/7
Factor 4*s**3 - 64*s**2 - 940*s - 2600.
4*(s - 26)*(s + 5)**2
Solve -358*q**2/3 - 598*q/5 - 4/15 = 0 for q.
-1, -2/895
Factor q**2/2 - 27*q/2 - 14.
(q - 28)*(q + 1)/2
Let -3*v**5 - 81*v**4 - 150*v**3 + 10374*v**2 + 62361*v - 72501 = 0. Calculate v.
-13, 1, 11
Factor -3*n**3 + 72*n**2 + 75*n.
-3*n*(n - 25)*(n + 1)
Factor 3*r**4/7 + 9*r**3/7 - 27*r**2/7 - 81*r/7.
3*r*(r - 3)*(r + 3)**2/7
Determine l so that -5*l**3 + 160*l**2 - 1280*l = 0.
0, 16
Let -4*n**2 - 2240*n - 4464 = 0. What is n?
-558, -2
Factor 5*l**3/4 - 1365*l**2/4 + 124215*l/4 - 3767855/4.
5*(l - 91)**3/4
Factor 5*n**3 + 180*n**2 + 805*n + 930.
5*(n + 2)*(n + 3)*(n + 31)
Factor -f**3/10 - 22*f**2/5 - 42*f/5.
-f*(f + 2)*(f + 42)/10
Suppose -8*l**5/3 - 6*l**4 - 2*l**3/3 + 6*l**2 + 10*l/3 = 0. Calculate l.
-5/4, -1, 0, 1
Solve -a**3/5 + 67*a**2/5 + 14*a - 136/5 = 0.
-2, 1, 68
Determine z so that 10*z**4 - 106*z**3 - 54*z**2 + 106*z + 44 = 0.
-1, -2/5, 1, 11
Determine x, given that 3*x**5 - 18*x**4 - 81*x**3 = 0.
-3, 0, 9
What is g in g**2/5 - 14*g/5 = 0?
0, 14
Let 2*z**5 + 24*z**4 + 74*z**3 + 84*z**2 + 32*z = 0. Calculate z.
-8, -2, -1, 0
Factor -5*h**4 - 13610*h**3 + 54500*h**2 - 54520*h.
-5*h*(h - 2)**2*(h + 2726)
Factor -t**3 - 11*t**2 - 40*t - 48.
-(t + 3)*(t + 4)**2
Factor 4*p**3 - 72*p**2 + 348*p - 440.
4*(p - 11)*(p - 5)*(p - 2)
Solve 4*f**3/5 - 64*f**2/5 - 76*f/5 + 136/5 = 0.
-2, 1, 17
Solve -3*w**2/4 - 18*w - 189/4 = 0.
-21, -3
Solve -5*j**2 - 250*j = 0 for j.
-50, 0
Find l such that 5*l**2/7 - 5373*l/7 - 2150/7 = 0.
-2/5, 1075
Factor b**2/2 - 3*b/4 + 1/4.
(b - 1)*(2*b - 1)/4
Determine i, given that 20*i**5 + 38*i**4 + 12*i**3 - 10*i**2 - 4*i = 0.
-1, -2/5, 0, 1/2
Find j, given that 92*j**3 + 96*j**2 - 92*j - 96 = 0.
-24/23, -1, 1
Suppose -30*l**2 + 231*l/4 + 9/2 = 0. Calculate l.
-3/40, 2
Factor -74*h**2/3 + 70*h/3 + 4/3.
-2*(h - 1)*(37*h + 2)/3
Solve -2*p**5/3 - 8*p**4/3 + 52*p**3/3 - 88*p**2/3 + 62*p/3 - 16/3 = 0.
-8, 1
What is p in -4*p**4 + 84*p**3 + 572*p**2 - 1380*p + 728 = 0?
-7, 1, 26
Solve -a**5 - a**4 + 11*a**3 + 29*a**2 + 26*a + 8 = 0.
-2, -1, 4
Find v, given that v**5/3 + 61*v**4/9 - 110*v**3/3 + 164*v**2/3 - 200*v/9 = 0.
-25, 0, 2/3, 2
Factor 2*b**2/11 + 16*b/11 + 14/11.
2*(b + 1)*(b + 7)/11
Factor 4*a**4/7 - 72*a**3/7 + 132*a**2/7 - 64*a/7.
4*a*(a - 16)*(a - 1)**2/7
Factor -5*b**3 + 40*b**2.
-5*b**2*(b - 8)
Factor -f**2/3 - 61*f + 184/3.
-(f - 1)*(f + 184)/3
Suppose l**5/2 + 262*l**4 - 3*l**3/2 - 787*l**2 - 524*l = 0. Calculate l.
-524, -1, 0, 2
Find d such that 2*d**3 - 114*d**2 + 1144*d = 0.
0, 13, 44
Factor -5*l**2/6 + 25*l/2 + 40/3.
-5*(l - 16)*(l + 1)/6
Find q, given that -2*q**2/3 + 2200*q - 1815000 = 0.
1650
Factor -10*b**3 + 125*b**2 + 545*b + 240.
-5*(b - 16)*(b + 3)*(2*b + 1)
Let 4*d**3/5 + 124*d**2/5 + 336*d/5 = 0. Calculate d.
-28, -3, 0
What is w in -w**4/2 - 7*w**3 - 13*w**2/2 = 0?
-13, -1, 0
What is j in -21*j**4/4 + 474*j**3 + 3303*j**2/4 + 417*j/2 - 138 = 0?
-1, 2/7, 92
Factor 3*j**5/4 - 63*j**4 - 255*j**3/4.
3*j**3*(j - 85)*(j + 1)/4
Factor s**4/5 - 516*s**3/5 + 67587*s**2/5 - 52736*s + 196608/5.
(s - 256)**2*(s - 3)*(s - 1)/5
Suppose 5*t**3 + 95*t**2 - 110*t - 200 = 0. Calculate t.
-20, -1, 2
Solve -4*z