 1631*w**3 + 7980483*w**2/2 - 4338722591*w + 7076456545921/4 = 0 for w.
1631
Solve 2*p**2/3 + 164*p - 494/3 = 0.
-247, 1
Determine y so that -2*y**4 - 14*y**3 + 52*y**2 + 144*y = 0.
-9, -2, 0, 4
What is x in 2*x**3/7 + 2*x**2/7 - 44*x/7 - 80/7 = 0?
-4, -2, 5
Factor -y**4/7 + 131*y**3 + 2757*y**2/7 + 2759*y/7 + 920/7.
-(y - 920)*(y + 1)**3/7
Suppose 3*v**3 - 60*v**2 + 348*v - 480 = 0. What is v?
2, 8, 10
Factor 3*p**2 + 867*p + 2574.
3*(p + 3)*(p + 286)
Factor -2*j**4/7 + 8*j**3/7 + 36*j**2/7 - 216*j/7 + 270/7.
-2*(j - 3)**3*(j + 5)/7
Solve -5*r**5 - 55*r**4 + 130*r**3 - 10*r**2 - 125*r + 65 = 0 for r.
-13, -1, 1
Determine h so that -h**3/2 - 81*h**2/2 + 513*h/2 - 783/2 = 0.
-87, 3
Factor 4*t**3 - 20*t**2.
4*t**2*(t - 5)
Factor -2*w**4/9 + 10*w**3/9 - 2*w**2 + 14*w/9 - 4/9.
-2*(w - 2)*(w - 1)**3/9
Find v, given that 2*v**3/17 + 46*v**2/17 - 164*v/17 - 208/17 = 0.
-26, -1, 4
Determine d so that -5*d**3 - 2290*d**2 - 259900*d + 529000 = 0.
-230, 2
Determine k so that k**3/7 + 8*k**2/7 + k = 0.
-7, -1, 0
Factor -2*b**2/5 + 28*b - 490.
-2*(b - 35)**2/5
Factor -2*o**3/3 - 2*o**2 + 20*o/3.
-2*o*(o - 2)*(o + 5)/3
Let v**2/7 - 142*v/7 = 0. What is v?
0, 142
Suppose 2*a**2/9 + 14*a/9 - 16/9 = 0. Calculate a.
-8, 1
Factor 5*k**3 - 80*k**2 - 275*k - 190.
5*(k - 19)*(k + 1)*(k + 2)
Factor k**4/2 - 6*k**3 + 37*k**2/2 - 21*k + 8.
(k - 8)*(k - 2)*(k - 1)**2/2
Factor z**2 - 53*z - 1104.
(z - 69)*(z + 16)
Factor -k**4/9 + 13*k**3/3 - 37*k**2/3 + 109*k/9 - 4.
-(k - 36)*(k - 1)**3/9
Find m such that -3*m**3 + 342*m**2 - 12996*m + 164616 = 0.
38
Determine l, given that -l**2/7 + 9*l/7 - 20/7 = 0.
4, 5
Solve -33*p**3 + 474*p**2 - 960*p + 288 = 0.
4/11, 2, 12
Factor b**5 - 4*b**4 - 11*b**3 - 6*b**2.
b**2*(b - 6)*(b + 1)**2
Factor t**5/5 + 16*t**4/5 + 77*t**3/5 + 98*t**2/5.
t**2*(t + 2)*(t + 7)**2/5
Let 38*n**2/17 + 262*n/17 - 28/17 = 0. What is n?
-7, 2/19
Suppose 4*k**5/5 + 4*k**4 - 52*k**3/5 + 28*k**2/5 = 0. What is k?
-7, 0, 1
Determine f, given that 3*f**3 + 16218*f**2 + 21918627*f = 0.
-2703, 0
Factor -3*b**4/2 + 78*b**3 - 1221*b**2 + 5382*b - 14283/2.
-3*(b - 23)**2*(b - 3)**2/2
Factor 24*f**2 - 129*f + 45.
3*(f - 5)*(8*f - 3)
Factor 2*k**2/15 + 38*k/3 + 124/5.
2*(k + 2)*(k + 93)/15
Solve -2*p**4/11 + 160*p**3/11 - 3200*p**2/11 = 0.
0, 40
Solve 3*h**3/2 - 105*h**2/2 + 51*h = 0.
0, 1, 34
Solve -2*a**3 - 144*a**2 - 414*a = 0 for a.
-69, -3, 0
What is q in -15*q**3 - 18*q**2 + 81*q - 48 = 0?
-16/5, 1
Factor -3*z**2 + 20640*z - 35500800.
-3*(z - 3440)**2
Solve 3*v**3/4 + 15*v**2/2 - 81*v/4 - 27 = 0.
-12, -1, 3
Find i, given that 2*i**4 - 34*i**3 + 28*i**2 + 64*i = 0.
-1, 0, 2, 16
Suppose -17*g**5/2 + 257*g**4/2 - 863*g**3/2 + 1067*g**2/2 - 244*g + 22 = 0. Calculate g.
2/17, 1, 2, 11
Factor 16*k**4 - 20*k**3 + 4*k**2.
4*k**2*(k - 1)*(4*k - 1)
Factor 4*s**5 + 2696*s**4 + 604792*s**3 + 44949600*s**2 - 46777500*s - 91125000.
4*(s - 2)*(s + 1)*(s + 225)**3
Factor 5*t**5 + 30*t**4 - 15*t**3 - 80*t**2 + 60*t.
5*t*(t - 1)**2*(t + 2)*(t + 6)
Factor -25*j**3 + 285*j**2 - 560*j + 180.
-5*(j - 9)*(j - 2)*(5*j - 2)
Determine q, given that -q**2 - 5*q + 6 = 0.
-6, 1
Factor 2*s**3 + 38*s**2 - 82*s + 42.
2*(s - 1)**2*(s + 21)
Factor 2*u**3/3 + 116*u**2/3 + 224*u/3.
2*u*(u + 2)*(u + 56)/3
Factor -g**2/5 + 82*g/5 + 168/5.
-(g - 84)*(g + 2)/5
Solve 2*x**2 + 342*x - 344 = 0.
-172, 1
Suppose -5*k**3 - 530*k**2 - 12925*k + 60500 = 0. What is k?
-55, 4
Factor -3*r**2/4 - 15*r + 63/4.
-3*(r - 1)*(r + 21)/4
Solve -y**3/4 + 17*y**2/4 - 27*y/4 - 45/4 = 0 for y.
-1, 3, 15
Factor 4*z**5 - 260*z**4 + 756*z**3 - 748*z**2 + 248*z.
4*z*(z - 62)*(z - 1)**3
Determine u so that -2*u**3/3 + 242*u**2/3 - 7198*u/3 - 7442/3 = 0.
-1, 61
Suppose 2*q**2/3 - 52*q/9 - 2 = 0. What is q?
-1/3, 9
Factor 3*u**4/4 + 9*u**3/2 + 39*u**2/4 + 9*u + 3.
3*(u + 1)**2*(u + 2)**2/4
Suppose 6*i**5/17 + 2*i**4/17 - 2*i**3 + 38*i**2/17 - 12*i/17 = 0. What is i?
-3, 0, 2/3, 1
Determine v so that 16*v**3 + 584*v**2 - 295*v + 37 = 0.
-37, 1/4
Suppose 2*j**5/17 - 2*j**4/17 = 0. Calculate j.
0, 1
Let 4*o**2 - 244*o - 504 = 0. What is o?
-2, 63
What is g in -5*g**2 - 760*g - 28880 = 0?
-76
What is q in -2*q**5/3 - 14*q**4/3 + 58*q**3/3 + 58*q**2 - 96*q - 216 = 0?
-9, -2, 3
Factor 4*o**2/9 - 160*o/3 + 1600.
4*(o - 60)**2/9
What is f in -f**3 + 243*f**2 - 722*f + 480 = 0?
1, 2, 240
Suppose 5*x**5 + 135*x**4 - 590*x**3 + 910*x**2 - 615*x + 155 = 0. What is x?
-31, 1
Solve 2*g**2/17 + 1164*g/17 + 169362/17 = 0.
-291
Factor j**5/4 + 3*j**4/4 - 7*j**3 + 4*j**2 + 24*j - 28.
(j - 2)**3*(j + 2)*(j + 7)/4
Factor -3*f**2 - 1047*f.
-3*f*(f + 349)
Find i such that 4*i**2 + 392*i + 9604 = 0.
-49
Determine i, given that i**4 - 3*i**3 - 13*i**2 + 15*i = 0.
-3, 0, 1, 5
Suppose 4*i**5 - 29*i**4 + 75*i**3 - 85*i**2 + 41*i - 6 = 0. What is i?
1/4, 1, 2, 3
Factor g**2/7 - 6*g/7.
g*(g - 6)/7
Find n such that -3*n**4 - 135*n**3 - 249*n**2 + 387*n = 0.
-43, -3, 0, 1
Suppose -28*h**3 + 3296*h**2 + 7664*h + 1920 = 0. What is h?
-2, -2/7, 120
Factor t**4/2 - 10*t**3 - 122*t**2 + 280*t.
t*(t - 28)*(t - 2)*(t + 10)/2
Find c such that c**5/7 + 4787*c**4/7 + 7641645*c**3/7 + 4072984025*c**2/7 + 8115439750*c/7 = 0.
-1595, -2, 0
Let 135*l**2 - 60*l + 20/3 = 0. Calculate l.
2/9
Suppose 2*b**2/9 - 116*b/9 + 1682/9 = 0. What is b?
29
Factor 10*s**3/17 - 30584*s**2/17 + 23390642*s/17 - 9351364/17.
2*(s - 1529)**2*(5*s - 2)/17
Determine s so that -s**2 + 352*s - 30976 = 0.
176
Suppose x**2/5 - 604*x/5 + 91204/5 = 0. Calculate x.
302
Suppose 204*z**2 - 532*z - 32 = 0. Calculate z.
-1/17, 8/3
Factor 2*q**2/5 + 6168*q/5 + 4755528/5.
2*(q + 1542)**2/5
Factor 3*n**4 + 519*n**3 - 9*n**2 - 1563*n - 1038.
3*(n - 2)*(n + 1)**2*(n + 173)
Determine i so that -4*i**3/3 + 50*i**2/3 - 4*i/3 - 80 = 0.
-2, 5/2, 12
Suppose -148*h**5 - 40*h**4 + 296*h**3 + 80*h**2 - 148*h - 40 = 0. What is h?
-1, -10/37, 1
Suppose 8*f**4/9 + 2*f**3/3 - 50*f**2/9 + 4*f/3 = 0. What is f?
-3, 0, 1/4, 2
Factor 2*p**2/5 + 14*p/5 - 16/5.
2*(p - 1)*(p + 8)/5
Factor -l**2/3 + 31*l/3 - 50.
-(l - 25)*(l - 6)/3
Factor 3*n**5/2 + 42*n**4 + 117*n**3 + 114*n**2 + 75*n/2.
3*n*(n + 1)**3*(n + 25)/2
Solve 2*p**5/3 - 278*p**4/3 - 768*p**3 - 6992*p**2/3 - 9376*p/3 - 1568 = 0.
-2, 147
Suppose 2*z**4/5 - 12*z**3 + 286*z**2/5 + 12*z - 288/5 = 0. What is z?
-1, 1, 6, 24
Determine s so that -44*s**5 - 212*s**4 - 224*s**3 + 224*s**2 + 320*s - 64 = 0.
-2, 2/11, 1
What is m in -2*m**2/13 - 12*m/13 - 18/13 = 0?
-3
What is q in -2*q**5 - 4*q**4 + 6*q**3 = 0?
-3, 0, 1
Factor -3*z**2 + 168*z - 2160.
-3*(z - 36)*(z - 20)
Suppose -125*d**5 + 1875*d**4 - 1480*d**3 - 3800*d**2 + 240*d + 560 = 0. What is d?
-1, -2/5, 2/5, 2, 14
Suppose 4*y**5 + 12*y**4 - 32*y**3 - 96*y**2 + 64*y + 192 = 0. What is y?
-3, -2, 2
Factor 2*l**4/9 - 22*l**2/9 - 4*l - 16/9.
2*(l - 4)*(l + 1)**2*(l + 2)/9
Factor j**2/3 + 70*j + 3675.
(j + 105)**2/3
Suppose -49*n**3/2 + 1407*n**2/2 + 1704*n + 992 = 0. Calculate n.
-8/7, 31
Let -4*f**5 - 276*f**4 - 6264*f**3 - 49624*f**2 - 81540*f - 37908 = 0. What is f?
-27, -13, -1
Suppose -5*z**2 - 305*z - 300 = 0. Calculate z.
-60, -1
Solve -2*s**3 - 68*s**2 - 190*s - 124 = 0 for s.
-31, -2, -1
Factor 4*z**4 - 52*z**3 - 132*z**2 + 180*z.
4*z*(z - 15)*(z - 1)*(z + 3)
Determine v, given that -v**4/9 - 4*v**3/9 = 0.
-4, 0
What is u in -3*u**2/7 + 6*u/7 - 3/7 = 0?
1
What is f in -5*f**2 + 15*f + 900 = 0?
-12, 15
Solve -q**5/5 + 37*q**4/5 - 36*q**3/5 = 0 for q.
0, 1, 36
Factor -2*i**2/5 - 142*i/5 + 444/5.
-2*(i - 3)*(i + 74)/5
What is i in i**2 + 28*i + 52 = 0?
-26, -2
Factor -h**4/7 - 22*h**3/7 - 144*h**2/7 - 128*h/7 + 1024/7.
-(h - 2)*(h + 8)**3/7
Factor 2*n**3/11 - 200*n**2/11 + 776*n/11 - 768/11.
2*(n - 96)*(n - 2)**2/11
Factor 5*x**3 + 145*x**2 - 160*x - 300.
5*(x - 2)*(x + 1)*(x + 30)
Factor 2*c**2 + 1324*c + 219122.
2*(c + 331)**2
Let -50*b**3 + 3090*b**2 - 49248*b + 46208 = 0. What is b?
1, 152/5
Determine s, given that -4*s**4/5 - 44*s**3/5 - 144*s**2/5 - 64*s/5 + 256/5 = 0.
-4, 1
Factor -4*s**5/7 - 8*s**4/7 + 32*s**3/7 + 64*s**2/7 - 64*s/7 - 128/7.
-4*(s - 2)**2*(s + 2)**3/7
Solve -81*y**5 - 105*y**4 + 219*y**3 + 477*y**2 + 282*y + 48 = 0 for y.
-1, -8/27, 2
Find l such that 3*l**3 - 30*l**2 - 69*l - 36 = 0.
-1, 12
Factor 2000*l**3/7 + 23400*l**2/7 + 91260*l/7 + 118638/7.
2*(10*l + 39)**3/7
What is p in 4*p**4 - 344