*2 + 98*s + 192 = 0?
-96, -2
Factor -2*v**3/7 - 32*v**2 - 406*v - 1372.
-2*(v + 7)**2*(v + 98)/7
Factor p**2 + 15*p + 26.
(p + 2)*(p + 13)
Solve -5*c**4 - 305*c**3 - 290*c**2 + 600*c = 0 for c.
-60, -2, 0, 1
Let i**3/5 + 81*i**2/5 + 159*i/5 + 79/5 = 0. What is i?
-79, -1
Factor 5*c**4 + 50*c**3 - 60*c**2 - 50*c + 55.
5*(c - 1)**2*(c + 1)*(c + 11)
Factor -9*s**3 + 173*s**2 - 200*s + 36.
-(s - 18)*(s - 1)*(9*s - 2)
Solve 2*h**4/7 - 216*h**3/7 + 486*h**2 - 14580*h/7 = 0.
0, 9, 90
Determine d, given that -28*d**5/5 + 3978*d**4/5 - 189788*d**3/5 + 3106136*d**2/5 - 3127944*d/5 + 207646/5 = 0.
1/14, 1, 47
Determine y, given that -3*y**3/5 - 84*y**2/5 - 81*y/5 = 0.
-27, -1, 0
Factor 2*b**4 + 68*b**3 - 294*b**2 + 376*b - 152.
2*(b - 2)*(b - 1)**2*(b + 38)
Factor -5476*q**2/9 + 592*q/9 - 16/9.
-4*(37*q - 2)**2/9
Factor -40*h**3/7 - 44*h**2/7 - 4*h/7.
-4*h*(h + 1)*(10*h + 1)/7
What is h in -4*h**4 - 80*h**3 - 564*h**2 - 1624*h - 1568 = 0?
-7, -4, -2
Factor j**4/6 + 2*j**3/3 + j**2/2.
j**2*(j + 1)*(j + 3)/6
Factor l**2/4 - 31*l/2 + 961/4.
(l - 31)**2/4
Suppose -n**5/5 + n**4/5 + 8*n**3/5 - 8*n**2/5 - 16*n/5 + 16/5 = 0. What is n?
-2, 1, 2
Solve 100*m**3 + 95*m**2 - 5*m = 0 for m.
-1, 0, 1/20
What is c in 5*c**4 - 220*c**3 + 1670*c**2 + 16500*c + 28125 = 0?
-3, 25
Factor -2*h**2 - 132*h + 134.
-2*(h - 1)*(h + 67)
Factor -n**3/4 - 341*n**2/8 - 3655*n/2 - 7225/8.
-(n + 85)**2*(2*n + 1)/8
Solve -g**2/6 + 113*g/3 = 0.
0, 226
Factor -3*a**4/4 - 11*a**3/4 - 3*a**2 - a.
-a*(a + 1)*(a + 2)*(3*a + 2)/4
Let -o**4/7 + 18*o**3/7 - 16*o**2/7 - 18*o/7 + 17/7 = 0. Calculate o.
-1, 1, 17
Factor z**5/2 - 2*z**4 + 7*z**2 - 17*z/2 + 3.
(z - 3)*(z - 1)**3*(z + 2)/2
Suppose 8*g**3 + 42*g**2 + 52*g = 0. Calculate g.
-13/4, -2, 0
Factor n**3/2 + 7*n**2 + 55*n/2 + 21.
(n + 1)*(n + 6)*(n + 7)/2
Suppose -5*c**4 - 155*c**3 - 1485*c**2 - 3025*c + 13310 = 0. Calculate c.
-11, 2
Factor r**2/5 + 29*r/5 + 42.
(r + 14)*(r + 15)/5
Factor -s**2/5 + 73*s/5 + 74/5.
-(s - 74)*(s + 1)/5
Let -2*b**3/19 + 126*b**2/19 - 124*b/19 = 0. Calculate b.
0, 1, 62
Solve -g**2/3 + 10*g/3 - 16/3 = 0 for g.
2, 8
Factor 4*z**2/7 + 5028*z/7.
4*z*(z + 1257)/7
What is j in 4*j**3 - 56*j**2 - 8272*j - 112288 = 0?
-22, 58
Factor 3*d**4/2 + 2085*d**3 + 1453239*d**2/2 + 1446990*d + 722454.
3*(d + 1)**2*(d + 694)**2/2
Factor 251*o**3 - 6*o**2.
o**2*(251*o - 6)
Factor -d**2 + 8*d + 48.
-(d - 12)*(d + 4)
Solve -2*g**2/11 - 350*g/11 - 348/11 = 0 for g.
-174, -1
Find c such that 269120*c**3 - 271440*c**2 + 2325*c - 5 = 0.
1/232, 1
Determine p so that -21*p**4/5 + 477*p**3/5 - 1458*p**2/5 - 456*p/5 = 0.
-2/7, 0, 4, 19
Factor 93*h**3/2 - 747*h**2/2 - 813*h/2 + 27/2.
3*(h - 9)*(h + 1)*(31*h - 1)/2
Solve -3*c**4 + 45*c**3 - 108*c**2 - 12*c + 144 = 0 for c.
-1, 2, 12
Suppose 19*t**2/6 + 2111*t/6 + 37 = 0. Calculate t.
-111, -2/19
Factor 4*m**3 + 312*m**2 - 1980*m + 3024.
4*(m - 3)**2*(m + 84)
Suppose -14*m**4 + 10*m**3 + 32*m**2 + 8*m = 0. Calculate m.
-1, -2/7, 0, 2
Suppose n**4 + 44*n**3 + 694*n**2 + 4620*n + 11025 = 0. What is n?
-15, -7
Factor 25*x**3/2 - 5*x**2/4 - x/4.
x*(5*x - 1)*(10*x + 1)/4
Factor -t**3/6 - 13*t**2/6 - 35*t/6 + 49/6.
-(t - 1)*(t + 7)**2/6
Factor 3*b**4/4 - b**3/2 - b**2/4.
b**2*(b - 1)*(3*b + 1)/4
What is v in 3*v**4 - 36*v**3 - 126*v**2 - 132*v - 45 = 0?
-1, 15
Let 29*g**3/2 + 85*g**2/2 + 26*g - 2 = 0. Calculate g.
-2, -1, 2/29
Factor 3*k**3 + 8*k**2 - 5*k - 6.
(k - 1)*(k + 3)*(3*k + 2)
Factor 3*x**2 + 737*x/2 - 123/2.
(x + 123)*(6*x - 1)/2
Solve -62*g**4/3 - 234*g**3/5 + 1568*g**2/15 + 696*g/5 + 128/15 = 0.
-16/5, -1, -2/31, 2
Solve x**3/9 + 83*x**2/9 - 169*x/9 + 85/9 = 0.
-85, 1
Solve 3*x**2 + 2274*x + 430923 = 0 for x.
-379
Determine b, given that 3*b**3 + 15*b**2 = 0.
-5, 0
Find b, given that -1580*b**4 - 3152*b**3 - 1564*b**2 + 8*b = 0.
-1, 0, 2/395
What is d in 12*d**4 + 15*d**3 + 3*d**2 = 0?
-1, -1/4, 0
Factor 2*x**3 + 16*x**2 - 18*x.
2*x*(x - 1)*(x + 9)
Suppose -2*f**5 + 540*f**4 - 54400*f**3 + 2404480*f**2 - 37731840*f - 85525504 = 0. What is f?
-2, 68
Find q such that 2*q**3/21 + 4*q**2/21 = 0.
-2, 0
Determine g, given that 5*g**2 + 30*g - 80 = 0.
-8, 2
Factor 5*h**3 - 100*h**2 - 115*h + 210.
5*(h - 21)*(h - 1)*(h + 2)
Factor 5*g**3 + 35*g**2 + 40*g - 80.
5*(g - 1)*(g + 4)**2
Factor -i**4/4 + 15*i**3/4 - 39*i**2/4 + 37*i/4 - 3.
-(i - 12)*(i - 1)**3/4
Suppose 49*g**3/8 - 175*g**2/2 + 3053*g/8 - 1849/4 = 0. Calculate g.
2, 43/7
Determine f, given that f**2/2 + 11*f/2 - 21 = 0.
-14, 3
Let 4*g**5/5 - 62*g**4/5 + 66*g**3 - 130*g**2 + 50*g = 0. Calculate g.
0, 1/2, 5
Suppose -2*s**3/5 + 26*s/5 + 24/5 = 0. Calculate s.
-3, -1, 4
Factor p**3/8 - 55*p**2 - 2221*p/8 - 445/2.
(p - 445)*(p + 1)*(p + 4)/8
Factor 3*d**4/4 - 113*d**3/4 + 158*d**2 - 93*d.
d*(d - 31)*(d - 6)*(3*d - 2)/4
Find m such that -2*m**3 - 2*m**2 + 338*m + 338 = 0.
-13, -1, 13
Determine w so that -5*w**3 - 350*w**2 - 3295*w - 2950 = 0.
-59, -10, -1
Solve 5*y**3 - 150*y**2 + 145*y = 0.
0, 1, 29
Factor -4*s**3/5 - s**2 + 2*s/5 + 3/5.
-(s + 1)**2*(4*s - 3)/5
Suppose 4*o**5 - 44*o**4 + 192*o**3 - 416*o**2 + 448*o - 192 = 0. What is o?
2, 3
Let -20*h**4 + 72*h**3 - 36*h**2 - 80*h + 48 = 0. Calculate h.
-1, 3/5, 2
Find a such that 4*a**2/3 + 8*a - 160/3 = 0.
-10, 4
Factor 2*p**2 + 20*p + 32.
2*(p + 2)*(p + 8)
Determine h so that 3*h**2 + 450*h = 0.
-150, 0
Let -2*l**3/7 + 22*l**2/7 - 36*l/7 = 0. What is l?
0, 2, 9
Determine q, given that -640*q**2 - 1276*q + 8 = 0.
-2, 1/160
Solve 2*s**4 + 35*s**3/2 - 313*s**2/2 - 130*s + 42 = 0 for s.
-14, -1, 1/4, 6
Let -20*r**2 - 535*r + 135 = 0. What is r?
-27, 1/4
Factor 3*d**2 + 89*d - 30.
(d + 30)*(3*d - 1)
Find q, given that 2*q**4/3 - 2*q**3 - 12*q**2 = 0.
-3, 0, 6
Factor v**5 - 5*v**4 + v**3 + 21*v**2 - 18*v.
v*(v - 3)**2*(v - 1)*(v + 2)
Solve -2*t**5/5 + 18*t**4/5 - 28*t**3/5 - 68*t**2/5 + 6*t + 10 = 0.
-1, 1, 5
Factor 2*r**2 - 24*r - 26.
2*(r - 13)*(r + 1)
Suppose -5*f**5 - 10*f**4 + 5*f**3 + 10*f**2 = 0. What is f?
-2, -1, 0, 1
Let 2*d**2 + 4280*d + 2289800 = 0. Calculate d.
-1070
Let 2*g**3/7 - 12*g**2 + 82*g/7 = 0. What is g?
0, 1, 41
Factor 2*l**3/5 - 148*l**2/5 - 62*l + 456/5.
2*(l - 76)*(l - 1)*(l + 3)/5
Factor -2*o**3/9 + 10*o**2/9 + 208*o/9.
-2*o*(o - 13)*(o + 8)/9
Solve 2*k**3 - 28*k**2 + 64*k + 256 = 0 for k.
-2, 8
Factor 2*j**4/7 + 60*j**3/7 + 594*j**2/7 + 2160*j/7 + 2592/7.
2*(j + 3)**2*(j + 12)**2/7
Factor -2*p**5/7 - 8*p**4/7 + 4*p**3/7 + 24*p**2/7 - 18*p/7.
-2*p*(p - 1)**2*(p + 3)**2/7
Factor 3*r**3 - 558*r**2 - 561*r.
3*r*(r - 187)*(r + 1)
Solve -5*f**3 + 2365*f**2 - 278475*f - 280845 = 0.
-1, 237
Factor -2*o**2 - 464*o - 26912.
-2*(o + 116)**2
Let -3*h**4/8 - 777*h**3/8 + 783*h**2/8 + 777*h/8 - 195/2 = 0. Calculate h.
-260, -1, 1
Suppose -w**5/2 + 665*w**4/2 - 73925*w**3 + 5543785*w**2 - 21734245*w/2 + 10793861/2 = 0. Calculate w.
1, 221
Factor -d**4/3 - 288*d**3 - 185758*d**2/3 + 124704*d - 187489/3.
-(d - 1)**2*(d + 433)**2/3
Let -65*z**5 + 400*z**4 - 320*z**3 - 1520*z**2 + 2320*z - 320 = 0. Calculate z.
-2, 2/13, 2, 4
Determine i, given that 6*i**3/11 + 340*i**2/11 + 2282*i/11 + 1372/11 = 0.
-49, -7, -2/3
Determine m so that -4*m**4 + 1376*m**3/5 - 31464*m**2/5 + 236992*m/5 + 48668/5 = 0.
-1/5, 23
Determine d so that 3*d**2 - 630*d + 33075 = 0.
105
Find k such that 5*k**2/2 + 490*k + 24010 = 0.
-98
Factor -y**5/3 + y**4/3 + 5*y**3/3 - y**2/3 - 8*y/3 - 4/3.
-(y - 2)**2*(y + 1)**3/3
Solve -x**3/3 + 226*x**2/3 - 12769*x/3 = 0.
0, 113
What is r in -10*r**4/7 + 34*r**3/7 - 88*r/7 + 64/7 = 0?
-8/5, 1, 2
Solve 5*n**3 - 50*n**2 + 105*n = 0 for n.
0, 3, 7
Determine r, given that 2*r**3/9 - 254*r**2/9 - 562*r - 2610 = 0.
-9, 145
What is j in -1701*j**4/2 - 2943*j**3/2 - 771*j**2 - 162*j - 12 = 0?
-1, -2/7, -2/9
Factor 10*u**2/9 + 934*u/9 + 124/3.
2*(u + 93)*(5*u + 2)/9
Determine a so that -2*a**3/9 - 58*a**2/9 - 448*a/9 - 392/9 = 0.
-14, -1
Factor 2*a**2/13 - 28*a/13 + 48/13.
2*(a - 12)*(a - 2)/13
Factor b**4/3 + 2*b**3/3 - 8*b**2 - 6*b + 45.
(b - 3)**2*(b + 3)*(b + 5)/3
Factor -c**3 + 24*c**2.
-c**2*(c - 24)
Factor h**4 - 2*h**3 - 3*h**2.
h**2*(h - 3)*(h + 1)
Determine z, given that 3*z**2 - 87*z - 288 = 0.
-3, 32
Suppose 15*p**5 + 201*p**4 + 141*p**3 - 633*p**2 - 960*p - 372 = 0. Calculate p.
-62/5, -1, 2
Factor z**3/4 - 25*z**2/2 + 513*z/4 + 729.
(z - 27)**2*(z + 4)/4
Find p s