, -2/7, -1/4
Solve 2*x**5 + 1920*x**4/7 + 64984*x**3/7 - 8436*x**2 - 64998*x/7 + 57132/7 = 0.
-69, -1, 6/7, 1
Factor 12*g**3 - 76*g**2 - 152*g - 64.
4*(g - 8)*(g + 1)*(3*g + 2)
Factor -h**3/3 + 13*h**2/3 + 92*h - 96.
-(h - 24)*(h - 1)*(h + 12)/3
Determine c so that -2*c**4/7 + 30*c**3/7 - 38*c**2/7 - 174*c/7 - 104/7 = 0.
-1, 4, 13
Factor -2*o**5 + 20*o**4 - 78*o**3 + 148*o**2 - 136*o + 48.
-2*(o - 3)*(o - 2)**3*(o - 1)
Factor -6*f**2/7 + 102*f/7 - 180/7.
-6*(f - 15)*(f - 2)/7
Factor -5*n**5 + 130*n**4 - 245*n**3 + 120*n**2.
-5*n**2*(n - 24)*(n - 1)**2
Factor -10648*p**4/9 - 124630*p**3/9 - 55132*p**2 - 78792*p - 16464.
-2*(4*p + 1)*(11*p + 42)**3/9
Factor -w**4/7 + 24*w**2/7 + 64*w/7 + 48/7.
-(w - 6)*(w + 2)**3/7
Factor -3*j**4/4 + 33*j**3/4 + 189*j**2/2.
-3*j**2*(j - 18)*(j + 7)/4
Factor o**4 + 16*o**3 + 79*o**2 + 156*o + 108.
(o + 2)**2*(o + 3)*(o + 9)
Suppose -6*r**3/19 - 100*r**2/19 + 14*r = 0. Calculate r.
-19, 0, 7/3
Factor 5*n**2 - 220*n + 1295.
5*(n - 37)*(n - 7)
Find g such that -100*g**2 + 4 = 0.
-1/5, 1/5
Solve -18*s**3/5 - 218*s**2/5 - 222*s/5 - 22/5 = 0.
-11, -1, -1/9
Factor 2*v**2/3 - 8*v + 22/3.
2*(v - 11)*(v - 1)/3
Let 4*m**3/9 - 44*m**2/3 + 76*m + 7220/9 = 0. What is m?
-5, 19
Find g such that 14*g**5/9 + 136*g**4/9 + 22*g**3 + 44*g**2/9 - 32*g/9 = 0.
-8, -1, 0, 2/7
Suppose 2*m**2 - 22*m + 20 = 0. Calculate m.
1, 10
Determine y so that 2*y**2/7 - 4*y - 624/7 = 0.
-12, 26
Factor -2*f**3 - 302*f**2 - 12384*f - 72576.
-2*(f + 7)*(f + 72)**2
Solve -2*r**2/3 + 436*r/3 - 23762/3 = 0.
109
What is q in -2*q**3/5 + 18*q**2/5 + 68*q/5 + 48/5 = 0?
-2, -1, 12
Suppose 2*b**3/9 - 868*b**2/9 - 2*b/9 + 868/9 = 0. Calculate b.
-1, 1, 434
Suppose f**5 + 23*f**4/3 + 52*f**3/3 + 28*f**2/3 - 16*f/3 = 0. What is f?
-4, -2, 0, 1/3
Factor -5*f**5/6 - 155*f**4/2 - 3365*f**3/2 + 33125*f**2/6 - 5680*f + 1920.
-5*(f - 1)**3*(f + 48)**2/6
Factor 4*q**4 - 4828*q**3 + 4824*q**2.
4*q**2*(q - 1206)*(q - 1)
What is g in -4*g**4 + 244*g**3 + 1020*g**2 + 1292*g + 520 = 0?
-2, -1, 65
Solve 2*l**5 + 422*l**4 + 1664*l**3 + 1656*l**2 = 0.
-207, -2, 0
Suppose 4*g**2 - 16 = 0. Calculate g.
-2, 2
Factor n**3/2 + 3*n**2 + 5*n/2.
n*(n + 1)*(n + 5)/2
Factor 8*t**2/5 + 36*t + 252/5.
4*(t + 21)*(2*t + 3)/5
Find b such that b**2 + 215*b - 216 = 0.
-216, 1
Factor -3*u**2 - 570*u - 27075.
-3*(u + 95)**2
Solve -3*w**5/5 + 3*w**4 + 6*w**3/5 - 6*w**2 - 3*w/5 + 3 = 0.
-1, 1, 5
Factor 2*g**2/3 - 124*g + 370/3.
2*(g - 185)*(g - 1)/3
Suppose 2*q**3/17 + 1560*q**2/17 - 184*q = 0. What is q?
-782, 0, 2
Factor 2*x**4/5 - 6*x**2/5 + 4*x/5.
2*x*(x - 1)**2*(x + 2)/5
Factor -2*j**3/5 + 198*j**2/5 - 4998*j/5 + 4802/5.
-2*(j - 49)**2*(j - 1)/5
Factor b**3/3 - 170*b**2/3 + 337*b/3 - 56.
(b - 168)*(b - 1)**2/3
Solve 2*l**4/9 - 2608*l**3 + 68890316*l**2/9 - 15301136*l + 68843378/9 = 0.
1, 5867
Suppose -3*a**2/7 + 1320*a/7 - 1317/7 = 0. Calculate a.
1, 439
Factor -4*h**4/3 - 176*h**3/3 - 112*h**2.
-4*h**2*(h + 2)*(h + 42)/3
Factor 2*x**2 - 300*x - 608.
2*(x - 152)*(x + 2)
Let 128*k**5 + 1056*k**4 + 1944*k**3 + 1350*k**2 + 324*k = 0. What is k?
-6, -3/4, 0
Let -o**2/3 - 17*o/3 - 16/3 = 0. What is o?
-16, -1
Let -n**4/6 - n**3/2 - n**2/3 = 0. What is n?
-2, -1, 0
Factor 2*l**4/5 + 16*l**3/5 + 42*l**2/5 + 44*l/5 + 16/5.
2*(l + 1)**2*(l + 2)*(l + 4)/5
Factor 5*h**2 - 215*h - 220.
5*(h - 44)*(h + 1)
Determine a so that -4*a**3 + 3720*a**2 - 7412*a - 11136 = 0.
-1, 3, 928
Let 3*i**4/2 - 9*i**3 + 39*i**2/2 - 18*i + 6 = 0. Calculate i.
1, 2
Find x such that -2*x**5/5 - 8*x**4 - 357*x**3/10 - 299*x**2/10 - 7*x = 0.
-14, -5, -1/2, 0
Find s, given that 4*s**3 + 15204*s**2 + 14439996*s - 14455204 = 0.
-1901, 1
Suppose -5*i**2 - 660*i = 0. What is i?
-132, 0
Solve -5*d**4 + 110*d**3 - 425*d**2 = 0 for d.
0, 5, 17
Let -2*n**3 - 26*n**2 - 44*n = 0. Calculate n.
-11, -2, 0
Factor -4*z**2/15 - 38*z/15 - 6/5.
-2*(z + 9)*(2*z + 1)/15
What is y in -y**4/3 + y**3/3 + 4*y**2 = 0?
-3, 0, 4
Suppose 2*q**3/7 - 160*q**2/7 + 88*q - 608/7 = 0. Calculate q.
2, 76
Factor -4*z**2 + 644*z - 6040.
-4*(z - 151)*(z - 10)
Suppose 5*p**5 - 140*p**4 + 1165*p**3 - 1990*p**2 - 6240*p + 7200 = 0. Calculate p.
-2, 1, 5, 12
Factor -5*v**4 - 190*v**3 + 5*v**2 + 190*v.
-5*v*(v - 1)*(v + 1)*(v + 38)
Factor -2*r**5/5 + 14*r**4/5 - 6*r**3 + 18*r**2/5.
-2*r**2*(r - 3)**2*(r - 1)/5
Factor -5*w**4/3 - 10*w**3 + 15*w**2 + 70*w/3.
-5*w*(w - 2)*(w + 1)*(w + 7)/3
Solve 2*t**4/9 - 28*t**3/9 + 40*t**2/3 - 208*t/9 + 128/9 = 0 for t.
2, 8
Factor -3*m**3 + 72*m**2 + 153*m + 78.
-3*(m - 26)*(m + 1)**2
Factor -t**3/3 + 31*t**2 - 336*t - 59584/3.
-(t - 56)**2*(t + 19)/3
Suppose 2*t**5/11 + 2*t**4/11 - 6*t**3/11 - 2*t**2/11 + 4*t/11 = 0. What is t?
-2, -1, 0, 1
Factor -2*w**4 + 16*w**2 - 32.
-2*(w - 2)**2*(w + 2)**2
Determine v, given that 2*v**3/11 - 310*v**2/11 + 11534*v/11 + 37446/11 = 0.
-3, 79
Factor -a**2/5 - 14*a - 69/5.
-(a + 1)*(a + 69)/5
Let 2*d**5/13 + 178*d**4/13 + 4688*d**3/13 + 32672*d**2/13 + 79360*d/13 + 51200/13 = 0. Calculate d.
-40, -4, -1
Determine t, given that t**4/3 - 5*t**2/3 + 4/3 = 0.
-2, -1, 1, 2
Determine b, given that -4*b**3 + 32*b**2 - 52*b + 24 = 0.
1, 6
Factor 4*q**2/9 - 20*q/3 + 200/9.
4*(q - 10)*(q - 5)/9
Suppose 5*y**2 + 1230*y = 0. What is y?
-246, 0
Factor -2*p**2/13 + 42*p/13 + 324/13.
-2*(p - 27)*(p + 6)/13
Determine q so that -3060*q**3 - 8124*q**2 - 5344*q + 64 = 0.
-4/3, 1/85
Suppose 3*b**4/2 + 135*b**3/2 - 423*b**2/2 + 429*b/2 - 72 = 0. Calculate b.
-48, 1
Factor k**3/3 - k**2 - 34*k/3 + 40.
(k - 5)*(k - 4)*(k + 6)/3
Solve -5*x**4 + 10*x**3 + 75*x**2 + 20*x - 100 = 0 for x.
-2, 1, 5
Solve 75*k**2/2 + 237*k/2 + 18 = 0 for k.
-3, -4/25
Factor -9*w**2/4 + 271*w/4 - 145/2.
-(w - 29)*(9*w - 10)/4
Factor z**3/4 + 72*z**2 + 573*z/4 + 143/2.
(z + 1)**2*(z + 286)/4
Factor -52*i**5 - 5840*i**4 - 246400*i**3 - 4641280*i**2 - 33367040*i - 9834496.
-4*(i + 28)**4*(13*i + 4)
Factor 3583947*z**2/2 + 6558*z + 6.
3*(1093*z + 2)**2/2
Determine z so that 5*z**4 - 3*z**3 - 35*z**2 - 9*z + 18 = 0.
-2, -1, 3/5, 3
Factor c**3/12 + 329*c**2/6 + 1304*c/3 + 2600/3.
(c + 4)**2*(c + 650)/12
Factor 3*k**3 + 9*k**2 + 6*k.
3*k*(k + 1)*(k + 2)
Let 2*w**3/9 - 1414*w**2/9 + 11216*w/9 - 7456/3 = 0. Calculate w.
4, 699
Factor 3*p**3/2 - 39*p**2 + 627*p/2 - 726.
3*(p - 11)**2*(p - 4)/2
Factor 5*f**5 - 20*f**4 + 20*f**3.
5*f**3*(f - 2)**2
Factor 2*v**4/9 - 8*v**3/9 + 10*v**2/9 - 4*v/9.
2*v*(v - 2)*(v - 1)**2/9
Solve -3*d**4 + 27*d**3 + 588*d**2 + 1548*d - 2160 = 0 for d.
-6, 1, 20
Factor 4*h**4 + 408*h**3 + 7392*h**2 + 49000*h + 111132.
4*(h + 7)**3*(h + 81)
Factor -2*q**2/9 + 24*q - 648.
-2*(q - 54)**2/9
Factor -5*p**5 - 5*p**4 + 15*p**3 + 25*p**2 + 10*p.
-5*p*(p - 2)*(p + 1)**3
Solve 3*h**3/5 + 408*h**2/5 + 1452*h + 6960 = 0 for h.
-116, -10
Let -l**3/3 - 11*l**2/6 - l/3 + 5/2 = 0. What is l?
-5, -3/2, 1
Factor 2*v**2/3 - 2/3.
2*(v - 1)*(v + 1)/3
Factor 5*w**3 - 170*w**2 + 325*w - 160.
5*(w - 32)*(w - 1)**2
Determine q, given that 4*q**5/3 + 4*q**4/3 - 44*q**3/3 + 28*q**2/3 + 40*q/3 - 32/3 = 0.
-4, -1, 1, 2
Find p such that -5*p**4 + 160*p**3 + 530*p**2 - 160*p - 525 = 0.
-3, -1, 1, 35
Determine c so that -5*c**3 - 35*c**2 + 345*c - 585 = 0.
-13, 3
Let -3*m**3/8 - 819*m**2/2 - 149058*m - 18085704 = 0. Calculate m.
-364
Factor 4*o**3 + 4*o**2 - 8*o.
4*o*(o - 1)*(o + 2)
Factor h**4/4 - 76*h**3 + 5776*h**2.
h**2*(h - 152)**2/4
Factor -r**4 + 6*r**3 + 31*r**2 - 36*r.
-r*(r - 9)*(r - 1)*(r + 4)
Factor v**4/6 + 1639*v**3/3 + 1638*v**2 + 4913*v/3 + 3275/6.
(v + 1)**3*(v + 3275)/6
Solve x**4/3 - 52*x**3/3 + 207*x**2 + 486*x = 0 for x.
-2, 0, 27
Find g such that 12*g**2 + 404*g/3 - 440/3 = 0.
-110/9, 1
Let 48*m**4 - 216*m**3 + 99*m**2 - 12*m = 0. Calculate m.
0, 1/4, 4
Determine l, given that -4*l**2 + 44*l = 0.
0, 11
Factor 3*z**3 + 42*z**2 + 195*z + 300.
3*(z + 4)*(z + 5)**2
Find y such that -3*y**2/5 + 39*y - 378/5 = 0.
2, 63
Suppose -4*r**3 + 16*r**2 - 16*r = 0. What is r?
0, 2
Factor 2*v**2/9 - 8*v/9 + 8/9.
2*(v - 2)**2/9
Factor 543*p**3/5 - 216*p**2 + 531*p/5 + 6/5.
3*(p - 1)**2*(181*p + 2)/5
Factor i**4/3 + 158*i**3/3 + 2183*i**2 + 24332*i/3 + 23716/3.
(i + 2)**2*(i + 77)**2/3
Factor 20*q**3 - 45*q**2 + 30*q - 5.
5*(q - 1)**2*(4*q - 1)
Solve -z**2/7 + 10*z/7 + 39/7 = 0.
-3, 13
Factor i**3/3 - 7*i**2/3 + 11*i/3 - 5/3.
(i - 5)*(i - 1)**2/3
Determine 