0*n**3/7 - 16120*n**2/7 + 1542*n/7 - 36/7 = 0. Calculate n.
-2, 3/65
Let 21*a**5 - 771*a**4 - 243*a**3 + 771*a**2 + 222*a = 0. What is a?
-1, -2/7, 0, 1, 37
Factor 2*j**2 + 160*j - 162.
2*(j - 1)*(j + 81)
Factor -2*u**5/3 - 14*u**4/3 + 16*u**3/3.
-2*u**3*(u - 1)*(u + 8)/3
Let -5*w**2 + 1795*w + 1800 = 0. Calculate w.
-1, 360
Factor -5*k**4 + 145*k**3 - 810*k**2 + 800*k + 1760.
-5*(k - 22)*(k - 4)**2*(k + 1)
Factor u**5 + 25*u**4 + 226*u**3 + 828*u**2 + 648*u - 1728.
(u - 1)*(u + 6)**3*(u + 8)
Determine u so that -4*u**5 + 32*u**3 + 24*u**2 - 28*u - 24 = 0.
-2, -1, 1, 3
Solve w**2/3 - 43*w/3 + 154 = 0 for w.
21, 22
Suppose o**3/2 - 227*o**2/6 + 394*o/3 + 48 = 0. What is o?
-1/3, 4, 72
Suppose -15*w**5/8 + 213*w**4/8 + 963*w**3/8 + 1119*w**2/8 + 69*w/2 - 27/2 = 0. Calculate w.
-2, -1, 1/5, 18
What is s in 14*s**5/5 - 2236*s**4/5 - 2894*s**3/5 - 644*s**2/5 = 0?
-1, -2/7, 0, 161
Factor 5*q**3 - 285*q**2 - 1200*q - 1220.
5*(q - 61)*(q + 2)**2
Solve 5*x**2 + 120*x - 405 = 0 for x.
-27, 3
Factor 3*r**2 + 4746*r - 9504.
3*(r - 2)*(r + 1584)
Suppose f**3/5 + 5343*f**2/5 + 7139583*f/5 + 7134241/5 = 0. Calculate f.
-2671, -1
Solve 2*y**3/3 - 16*y**2 + 118*y/3 + 56 = 0.
-1, 4, 21
Determine h, given that 2*h**2/13 - 16*h/13 + 14/13 = 0.
1, 7
Factor x**5/2 + 2*x**4 + 3*x**3 + 2*x**2 + x/2.
x*(x + 1)**4/2
Factor 2*i**5/19 - 92*i**4/19 - 10*i**3 - 96*i**2/19.
2*i**2*(i - 48)*(i + 1)**2/19
Factor 6*z**2 + 1184*z + 5018.
2*(z + 193)*(3*z + 13)
Factor 21*d**5/4 + 69*d**4/4 + 81*d**3/4 + 39*d**2/4 + 3*d/2.
3*d*(d + 1)**3*(7*d + 2)/4
Let -4*z**5 + 20*z**4 + 36*z**3 - 52*z**2 - 112*z - 48 = 0. What is z?
-1, 2, 6
What is k in 2*k**2/7 + 144*k/7 + 2592/7 = 0?
-36
Factor -s**5 - 15*s**4 - 83*s**3 - 209*s**2 - 240*s - 100.
-(s + 1)*(s + 2)**2*(s + 5)**2
Determine u so that -5*u**5 + 45*u**4 - 90*u**3 - 110*u**2 + 255*u + 225 = 0.
-1, 3, 5
Factor -x**5 + 19*x**4 - 34*x**3 - 2*x**2 + 35*x - 17.
-(x - 17)*(x - 1)**3*(x + 1)
Find l, given that 3*l**3 - 9*l**2 + 6*l = 0.
0, 1, 2
Determine a, given that -951*a**3/4 - 157*a**2 + 321*a/4 - 1/2 = 0.
-1, 2/317, 1/3
Solve -u**3/3 - 14*u**2/3 - 20*u - 24 = 0 for u.
-6, -2
Factor 3*g**5/7 + 12*g**4/7 + 18*g**3/7 + 12*g**2/7 + 3*g/7.
3*g*(g + 1)**4/7
Suppose -46*b**4/5 - 38*b**3/5 + 8*b**2/5 = 0. What is b?
-1, 0, 4/23
Factor -c**3 - 296*c**2 - 21605*c + 44402.
-(c - 2)*(c + 149)**2
Factor -4*t**3/3 - 104*t**2/3 - 368*t/3 - 352/3.
-4*(t + 2)**2*(t + 22)/3
Suppose -2*x**3 - 330*x**2 - 18150*x - 332750 = 0. What is x?
-55
Determine c, given that -c**4/2 + 63*c**3/2 - 29*c**2 - 126*c + 124 = 0.
-2, 1, 2, 62
Factor -2*v**2 - 142*v - 140.
-2*(v + 1)*(v + 70)
Determine k, given that -k**4 + 34*k**3 + 73*k**2 - 34*k - 72 = 0.
-2, -1, 1, 36
Suppose 3*q**4/2 + 63*q**3 + 1047*q**2/2 - 2898*q + 3174 = 0. Calculate q.
-23, 2
What is r in -r**2/6 - 55*r - 329/6 = 0?
-329, -1
What is m in m**5/2 + 43*m**4/2 - m**3/2 - 43*m**2/2 = 0?
-43, -1, 0, 1
Let q**5/3 - 14*q**4/3 + 65*q**3/3 - 100*q**2/3 = 0. Calculate q.
0, 4, 5
Factor -6*f**2/13 + 232*f/13 - 152/13.
-2*(f - 38)*(3*f - 2)/13
Factor -5*r**2 - 35*r - 50.
-5*(r + 2)*(r + 5)
Find x such that 70*x**4 - 1065*x**3 - 2060*x**2 - 1095*x - 170 = 0.
-1, -1/2, -2/7, 17
Let -3*u**3/2 + 2679*u**2/2 - 5349*u/2 + 2673/2 = 0. Calculate u.
1, 891
Factor 21*o**4/4 - 81*o**3/8 - 36*o**2 - 165*o/8.
3*o*(o + 1)**2*(14*o - 55)/8
Find p such that -p**5/5 - 2*p**4 - 12*p**3/5 + 72*p**2/5 = 0.
-6, 0, 2
Factor 7*y**3/2 - 27*y**2/2 - 39*y/2 - 5/2.
(y - 5)*(y + 1)*(7*y + 1)/2
Factor -2*h**4/7 - 12*h**3/7 + 18*h**2/7 + 4*h.
-2*h*(h - 2)*(h + 1)*(h + 7)/7
Let -39*o**2 - 132*o - 108 = 0. Calculate o.
-2, -18/13
Factor -5*p**2 + 135*p + 1400.
-5*(p - 35)*(p + 8)
Let 2*v**4/11 + 24*v**3/11 + 100*v**2/11 + 168*v/11 + 90/11 = 0. Calculate v.
-5, -3, -1
Factor -5*b**3/4 - 5*b**2/2 + 5*b/4 + 5/2.
-5*(b - 1)*(b + 1)*(b + 2)/4
Find v, given that -4*v**3/3 + 52*v**2 - 152*v/3 = 0.
0, 1, 38
Factor -3*a**2 + 30*a - 48.
-3*(a - 8)*(a - 2)
Determine l so that -2*l**4/3 + 8992*l**3/3 - 5053504*l**2 + 11360276992*l/3 - 3192237834752/3 = 0.
1124
Factor 15*s**3 + 325*s**2 + 1705*s - 605.
5*(s + 11)**2*(3*s - 1)
Let 3*p**2 + 15*p - 42 = 0. Calculate p.
-7, 2
Find t such that -16*t**5 - 372*t**4 - 1708*t**3 + 3996*t**2 - 1300*t - 600 = 0.
-15, -10, -1/4, 1
Factor -4*u**4 - 76*u**3 - 308*u**2 - 404*u - 168.
-4*(u + 1)**2*(u + 3)*(u + 14)
Let -5*u**2 + 650*u - 21125 = 0. Calculate u.
65
Factor -p**3 - 43*p**2 + 665*p + 33075.
-(p - 27)*(p + 35)**2
Suppose 15*j**2 + 111*j + 162 = 0. Calculate j.
-27/5, -2
What is p in 54*p**3/5 + 34*p**2 + 24*p/5 = 0?
-3, -4/27, 0
Factor -4*z**4/3 - 20*z**3/3 + 32*z**2/3 + 16*z.
-4*z*(z - 2)*(z + 1)*(z + 6)/3
Solve -4*x**2 + 200*x - 2500 = 0.
25
Suppose -5*w**3/4 + 425*w**2/4 + 685*w/2 - 1100 = 0. Calculate w.
-5, 2, 88
Factor -4*g**5 + 20*g**4 - 13*g**3 - 30*g**2 - 9*g.
-g*(g - 3)**2*(2*g + 1)**2
Factor 2*h**2 - 102*h.
2*h*(h - 51)
Let -5*d**4 - 25*d**3 + 15*d**2 + 65*d - 50 = 0. Calculate d.
-5, -2, 1
Factor 3*i**4 - 18*i**3 + 36*i**2 - 30*i + 9.
3*(i - 3)*(i - 1)**3
Factor 2*v**2 + 58*v - 3720.
2*(v - 31)*(v + 60)
Determine l so that 8*l**4 - 92*l**3 + 569*l**2/2 - 251*l/2 + 15 = 0.
1/4, 5, 6
Determine m so that 2*m**4/3 + 138*m**3 = 0.
-207, 0
Determine p, given that -3*p**2 + 15*p + 42 = 0.
-2, 7
Find z such that 4*z**4/9 + 32*z**3/3 + 160*z**2/9 - 128*z/3 - 704/9 = 0.
-22, -2, 2
Factor -q**3 - 7*q**2 - 11*q - 5.
-(q + 1)**2*(q + 5)
Let -4*k**3 + 1032*k**2 - 88752*k + 2544224 = 0. Calculate k.
86
Solve -36*g**3 + 219*g**2 - 342*g + 27 = 0.
1/12, 3
Find m, given that m**3/4 + 55*m**2 - 667*m/4 + 223/2 = 0.
-223, 1, 2
Determine s, given that 4*s**4 + 32*s**3 + 92*s**2 + 112*s + 48 = 0.
-3, -2, -1
Determine g so that -3*g**2 - 1008*g = 0.
-336, 0
Let -4*y**3/5 + 316*y**2/5 + 644*y/5 + 324/5 = 0. Calculate y.
-1, 81
Factor 4*w**3/3 + 10*w**2 + 12*w.
2*w*(w + 6)*(2*w + 3)/3
Factor 35*f**3 - 865*f**2 + 3250*f + 1000.
5*(f - 20)*(f - 5)*(7*f + 2)
Find p such that -3*p**3/8 + 9*p**2/8 + 249*p/4 - 63 = 0.
-12, 1, 14
Solve -4*v**4 - 652*v**3 - 26884*v**2 - 24948*v + 52488 = 0.
-81, -2, 1
Factor -5*c**3 - 10570*c**2 - 5586245*c.
-5*c*(c + 1057)**2
Factor -2*g**3 - 30*g**2 - 144*g - 216.
-2*(g + 3)*(g + 6)**2
Factor c**4/5 - 3*c**2/5 - 2*c/5.
c*(c - 2)*(c + 1)**2/5
Factor 2*d**2/3 + 352*d/3 - 358.
2*(d - 3)*(d + 179)/3
Determine k, given that -4*k**2 + 96*k = 0.
0, 24
Determine w so that -2*w**2/13 - 2728*w/13 - 2726/13 = 0.
-1363, -1
Determine h so that 14*h**4/3 - 116*h**3/3 - 248*h**2/3 + 80*h/3 = 0.
-2, 0, 2/7, 10
Factor 5*t**3 - 2185*t**2 + 8680*t - 8660.
5*(t - 433)*(t - 2)**2
Suppose -3*b**3 - 49*b**2 + 35*b + 17 = 0. What is b?
-17, -1/3, 1
Factor -25*j**3 + 260*j**2.
-5*j**2*(5*j - 52)
Factor -p**5 - 6*p**4 - 5*p**3.
-p**3*(p + 1)*(p + 5)
Factor 9*f**3 + 156*f**2 + 429*f + 126.
3*(f + 3)*(f + 14)*(3*f + 1)
Factor -l**4/4 + 9*l**3/2 + 83*l**2/4 + 27*l + 11.
-(l - 22)*(l + 1)**2*(l + 2)/4
Factor 4*d**2/3 - 2752*d/3 - 2764.
4*(d - 691)*(d + 3)/3
Factor -2*d**4 - 216*d**3 - 1248*d**2 - 2464*d - 1632.
-2*(d + 2)**3*(d + 102)
Factor 3*f**2/7 - 1770*f/7 + 261075/7.
3*(f - 295)**2/7
Let -2*t**4/11 + 10*t**3/11 - 18*t**2/11 + 14*t/11 - 4/11 = 0. Calculate t.
1, 2
Suppose -5*n**3/2 - 63*n**2/2 - 17*n + 12 = 0. What is n?
-12, -1, 2/5
Let 21*v**3 + 6285*v**2 + 1794*v = 0. What is v?
-299, -2/7, 0
Let 3*u**2 + 2046*u + 348843 = 0. What is u?
-341
Let 2*h**5 - 366*h**4 + 724*h**3 + 4*h**2 - 726*h + 362 = 0. What is h?
-1, 1, 181
Factor -3*c**4/8 - 213*c**3/8.
-3*c**3*(c + 71)/8
Suppose l**5 + 2*l**4 - 47*l**3/4 + 59*l**2/4 - 29*l/4 + 5/4 = 0. What is l?
-5, 1/2, 1
Determine a so that -3*a**4 + 12*a**3 + 6*a**2 - 36*a - 27 = 0.
-1, 3
Suppose -45*h**5 - 10*h**4 + 135*h**3 - 60*h**2 - 20*h = 0. What is h?
-2, -2/9, 0, 1
Suppose -10*i**3 - 42*i**2 - 48*i - 8 = 0. Calculate i.
-2, -1/5
Factor -2*m**2/17 - 142*m/17 + 292/17.
-2*(m - 2)*(m + 73)/17
Factor -320*j**4 - 3024*j**3 + 2388*j**2 - 607*j + 51.
-(4*j - 1)**3*(5*j + 51)
What is x in x**3/6 - 17*x**2 = 0?
0, 102
Let 51*i**4/8 - 105*i**3/4 + 177*i**2/8 - 9*i/4 = 0. Calculate i.
0, 2/17, 1, 3
Find x such that -4*x**2 + 60*x = 0.
0, 15
Find i, given that 4*i**4 + 100*i**3 - 216*i**2 = 0.
-27, 0, 2
Factor -t**4/3 + 28*t**3/3 + 1628*t**2/3 - 8512*t - 277248.
-(t - 38)**