- 3*p**2/2 + 5*p/2 - 7/6 = 0?
1, 7
Find r, given that 3*r**4 + 411*r**3 + 1992*r**2 + 1584*r = 0.
-132, -4, -1, 0
Factor -d**2/6 + 71*d/6 + 12.
-(d - 72)*(d + 1)/6
Let 2*n**2/5 + 84*n/5 + 882/5 = 0. What is n?
-21
Factor -35*z**3/6 + 20*z**2/3.
-5*z**2*(7*z - 8)/6
Suppose 3*v**3/7 - 306*v**2/7 - 621*v/7 - 312/7 = 0. Calculate v.
-1, 104
Factor -2*d**3 + 246*d**2 + 1016*d.
-2*d*(d - 127)*(d + 4)
Factor -3*n**4/4 - 309*n**3/4 + 945*n**2/4 - 951*n/4 + 159/2.
-3*(n - 1)**3*(n + 106)/4
Factor 2*c**2 - 28*c + 96.
2*(c - 8)*(c - 6)
Find o, given that o**3/4 - 9*o = 0.
-6, 0, 6
Suppose 6*x**2/5 - 1881*x/5 - 942/5 = 0. What is x?
-1/2, 314
Factor 21*h**5 + 90*h**4 + 24*h**3.
3*h**3*(h + 4)*(7*h + 2)
What is d in -16*d**4/5 + 8*d**3/5 + 63*d**2/5 - 32*d/5 + 4/5 = 0?
-2, 1/4, 2
Factor -m**4/2 + 3*m**3/2 + 2*m**2.
-m**2*(m - 4)*(m + 1)/2
What is p in -4*p**5/3 + 4*p**4 - 4*p**3/3 - 4*p**2 + 8*p/3 = 0?
-1, 0, 1, 2
What is m in -15*m**4 - 155*m**3 - 485*m**2 - 445*m - 100 = 0?
-5, -4, -1, -1/3
Find y such that -20*y**2/7 - 3048*y/7 + 1836/7 = 0.
-153, 3/5
Factor 33*b**3 - 171*b**2 + 162*b - 24.
3*(b - 4)*(b - 1)*(11*b - 2)
Factor -f**5/3 - 14*f**4/3 - 40*f**3/3 + 16*f**2/3 + 176*f/3 + 160/3.
-(f - 2)*(f + 2)**3*(f + 10)/3
Find z, given that -z**3/11 + 7*z**2/11 + 8*z/11 = 0.
-1, 0, 8
Solve -9*p**5/4 - 15*p**4/2 + 29*p**3/4 + 57*p**2/2 - 8*p - 24 = 0 for p.
-3, -2, -1, 4/3
Factor 2*u**4/3 - 8*u**3/3 - 10*u**2 + 12*u.
2*u*(u - 6)*(u - 1)*(u + 3)/3
Solve -5*x**4 + 100*x**3 + 335*x**2 + 230*x = 0.
-2, -1, 0, 23
Factor c**5 - 13*c**4 - 6*c**3 + 70*c**2 + 101*c + 39.
(c - 13)*(c - 3)*(c + 1)**3
Suppose m**3/8 + 2009*m**2/8 - 1005*m/4 = 0. Calculate m.
-2010, 0, 1
Determine i, given that -i**2/4 - 43*i/2 + 87/4 = 0.
-87, 1
Determine p so that 3*p**4 - 7626*p**3 + 4838688*p**2 + 9707904*p = 0.
-2, 0, 1272
What is l in -2*l**4 + 1296*l**3 - 5162*l**2 + 6444*l - 2576 = 0?
1, 2, 644
Solve s**4/7 + 2*s**3/7 + s**2/7 = 0 for s.
-1, 0
Let 3*n**2/4 + 12*n = 0. Calculate n.
-16, 0
Find q such that -2500*q**2 + 1800*q - 324 = 0.
9/25
Factor -h**2/3 + 67*h - 980/3.
-(h - 196)*(h - 5)/3
Determine t, given that 98*t**4 - 45262*t**3 - 6534*t**2 + 30510*t - 8316 = 0.
-1, 3/7, 462
Suppose 36*o**2 - 172*o - 40 = 0. Calculate o.
-2/9, 5
Let 2*k**5/17 + 32*k**4/17 + 108*k**3/17 + 152*k**2/17 + 98*k/17 + 24/17 = 0. Calculate k.
-12, -1
Determine x, given that 2*x**4 - 16*x**3 + 12*x**2 + 16*x - 14 = 0.
-1, 1, 7
Determine g, given that -8*g**5 - 26*g**4 + 146*g**3 + 62*g**2 - 138*g - 36 = 0.
-6, -1, -1/4, 1, 3
Factor -10*j**4/11 + 2096*j**3/11 - 146160*j**2/11 + 3371200*j/11 + 1372000/11.
-2*(j - 70)**3*(5*j + 2)/11
Suppose 5*k**2/3 - 11*k/6 + 1/6 = 0. What is k?
1/10, 1
Let -2*v**2/15 + 74*v/15 - 36 = 0. What is v?
10, 27
Solve w**2 + 24*w = 0.
-24, 0
Determine b, given that -2*b**2 + b/4 = 0.
0, 1/8
What is m in 8*m**5/11 + 54*m**4/11 + 82*m**3/11 - 56*m**2/11 - 120*m/11 + 32/11 = 0?
-4, -2, 1/4, 1
Factor -3*l**2 - 18*l + 165.
-3*(l - 5)*(l + 11)
Factor 3*l**4 - 120*l**3 + 738*l**2 - 1512*l + 891.
3*(l - 33)*(l - 3)**2*(l - 1)
What is j in -33*j**2 - 63*j + 108 = 0?
-3, 12/11
Solve s**3/3 - 115*s**2/3 + 38*s = 0.
0, 1, 114
Factor a**4 + 2207*a**3 + 6615*a**2 + 6613*a + 2204.
(a + 1)**3*(a + 2204)
Factor 5*l**5 + 6*l**4 - 24*l**3 + 10*l**2 + 3*l.
l*(l - 1)**2*(l + 3)*(5*l + 1)
Solve 3*o**3/2 - 103*o**2/4 + 113*o/4 - 4 = 0.
1/6, 1, 16
Determine m, given that 3*m**3 + 270*m**2 + 2211*m + 1944 = 0.
-81, -8, -1
Factor -48*r**4 - 24*r**3 - 4*r**2 - 2*r/9.
-2*r*(6*r + 1)**3/9
Factor 2*c**3/5 + 6*c**2/5 - 378*c/5 + 1666/5.
2*(c - 7)**2*(c + 17)/5
Determine f, given that -2*f**2/9 + 16*f - 670/9 = 0.
5, 67
Let 2*d**4 - 22*d**3 + 10*d**2 + 94*d + 60 = 0. Calculate d.
-1, 3, 10
Suppose 4*m**3 + 292*m**2 - 3220*m + 8300 = 0. Calculate m.
-83, 5
What is y in 5*y**2 + 150*y - 320 = 0?
-32, 2
Suppose 4*j**4/7 - 32*j**3/7 - 548*j**2/7 + 576*j/7 = 0. Calculate j.
-9, 0, 1, 16
Factor s**2/2 - 35*s/2.
s*(s - 35)/2
Factor h**2/10 + 7*h/2 - 37/5.
(h - 2)*(h + 37)/10
Factor -2*d**2 + 204*d - 5202.
-2*(d - 51)**2
Factor 2*n**3 - 1489*n**2/2 + 69378*n - 17298.
(n - 186)**2*(4*n - 1)/2
Solve -340*u**2 - 244*u - 24 = 0.
-3/5, -2/17
Factor 4*v**5 + 4*v**4 - 140*v**3 - 516*v**2 - 504*v.
4*v*(v - 7)*(v + 2)*(v + 3)**2
Determine s so that -s**5/4 + s**4/4 + 7*s**3/4 - s**2/4 - 3*s/2 = 0.
-2, -1, 0, 1, 3
Factor -5*d**4/2 - 1585*d**3/2 - 63200*d**2 - 62410*d.
-5*d*(d + 1)*(d + 158)**2/2
Factor -2*u**3/11 + 72*u**2/11 - 646*u/11.
-2*u*(u - 19)*(u - 17)/11
Factor -8*j**2 + 154*j - 38.
-2*(j - 19)*(4*j - 1)
Factor 8*l**2 + 664*l + 13778.
2*(2*l + 83)**2
Factor -2*d**3/9 + 14*d**2/9 - 20*d/9.
-2*d*(d - 5)*(d - 2)/9
Factor 2*r**2/9 - 16*r/3 + 14.
2*(r - 21)*(r - 3)/9
Let -25*i**4/2 - 20*i**3 + 47*i**2 - 16*i + 3/2 = 0. Calculate i.
-3, 1/5, 1
Factor 2*o**3/7 + 30*o**2/7 + 52*o/7.
2*o*(o + 2)*(o + 13)/7
Let -n**4/4 - 9*n**3 - 243*n**2/4 + 370*n - 300 = 0. What is n?
-20, 1, 3
Factor 8*g**4 + 386*g**3 + 4704*g**2 + 1152*g.
2*g*(g + 24)**2*(4*g + 1)
Solve -x**5 - 3*x**4 + 4*x**3 = 0.
-4, 0, 1
Factor -4*d**5 - 724*d**4.
-4*d**4*(d + 181)
Suppose 2*u**4 + 14*u**3 - 90*u**2 - 14*u + 88 = 0. What is u?
-11, -1, 1, 4
Factor -3*r**4 + 27*r**3 + 114*r**2 - 864*r - 1920.
-3*(r - 8)**2*(r + 2)*(r + 5)
Factor -3*y**2 + 42*y - 120.
-3*(y - 10)*(y - 4)
Determine x so that 4*x**3 - 160*x**2 + 156*x = 0.
0, 1, 39
Suppose -3*g**2 + 654*g - 35643 = 0. What is g?
109
Find f, given that -2*f**3 + 184*f**2 - 5472*f + 51840 = 0.
20, 36
Suppose b**2 - 5*b + 6 = 0. Calculate b.
2, 3
Factor 3*t**3 + 93*t**2 + 90*t.
3*t*(t + 1)*(t + 30)
Determine l so that -5*l**3 + 815*l**2 - 33615*l + 32805 = 0.
1, 81
Factor 3*m**5/8 + 75*m**4/8 + 345*m**3/8 - 1515*m**2/8 + 210*m - 147/2.
3*(m - 1)**3*(m + 14)**2/8
Solve c**4/9 - 19*c**3/9 + 38*c**2/3 - 224*c/9 + 128/9 = 0 for c.
1, 2, 8
Factor j**3 + 5*j**2 - j - 5.
(j - 1)*(j + 1)*(j + 5)
Determine g, given that g**3/5 + 32*g**2/5 + 133*g/5 - 2166/5 = 0.
-19, 6
Solve 10*s**4 + 175*s**3 + 510*s**2 - 2300*s + 1000 = 0 for s.
-10, 1/2, 2
Find m, given that -m**4/3 - 29*m**3/3 - 65*m**2 + 75*m = 0.
-15, 0, 1
Find r, given that -135*r**5 + 303*r**4 - 34*r**3 - 60*r**2 - 8*r = 0.
-2/9, -1/5, 0, 2/3, 2
Factor 4*b**2 - 104*b - 108.
4*(b - 27)*(b + 1)
Let -3*k**2 - 45*k - 42 = 0. Calculate k.
-14, -1
Find r such that -3*r**4/5 - 123*r**3/5 - 879*r**2/5 + 8763*r/5 + 9522/5 = 0.
-23, -1, 6
Factor 8*c**3/3 + 116*c**2/9 - 20*c/9.
4*c*(c + 5)*(6*c - 1)/9
Let l**3/4 + 15*l**2/2 - 33*l/4 - 31/2 = 0. Calculate l.
-31, -1, 2
Factor 101*k**3 + 507*k**2 + 616*k + 12.
(k + 2)*(k + 3)*(101*k + 2)
Suppose 4*d**3 - 204*d**2 - 436*d + 636 = 0. Calculate d.
-3, 1, 53
Find x such that 5*x**4 - 946*x**3 + 45308*x**2 - 53016*x = 0.
0, 6/5, 94
Factor 5*a**4 - 85*a**3 + 280*a**2 - 260*a.
5*a*(a - 13)*(a - 2)**2
Determine k so that -8*k**4 - 1674*k**3 - 10234*k**2 - 17070*k - 3654 = 0.
-203, -3, -1/4
Determine g so that -3*g**5/4 - 15*g**4/4 + 171*g**3/4 - 297*g**2/4 = 0.
-11, 0, 3
Find o such that -3*o**2/5 + 486*o/5 - 19683/5 = 0.
81
Find b, given that -b**4 - 1174*b**3 - 346909*b**2 - 1373580*b - 1368900 = 0.
-585, -2
Solve h**4/10 + h**3/2 + 4*h**2/5 + 2*h/5 = 0.
-2, -1, 0
Factor -2*u**2/3 - 3688*u/3 + 1230.
-2*(u - 1)*(u + 1845)/3
Factor -2*f**2/9 - 268*f/9 - 176/3.
-2*(f + 2)*(f + 132)/9
Determine s so that -s**3/4 + 9*s**2 - 357*s/4 + 289/2 = 0.
2, 17
Suppose -4*d**2 - 140*d - 136 = 0. Calculate d.
-34, -1
Solve -2*y**2/5 + 10016*y/5 - 12540032/5 = 0 for y.
2504
What is s in -2*s**3/11 + 92*s**2/11 - 498*s/11 + 720/11 = 0?
3, 40
Factor -3*p**2 - 78*p - 75.
-3*(p + 1)*(p + 25)
Factor -8*n**2/11 + 118*n/11 + 30/11.
-2*(n - 15)*(4*n + 1)/11
Factor 2*h**2/13 + 348*h/13 + 15138/13.
2*(h + 87)**2/13
Factor s**2 + 135*s + 134.
(s + 1)*(s + 134)
Factor 2*v**3/5 + 76*v**2/5 - 254*v/5 - 328/5.
2*(v - 4)*(v + 1)*(v + 41)/5
Factor 196*r**3 + 128856*r**2 - 73680*r + 10528.
4*(r + 658)*(7*r - 2)**2
Suppose -2*c**5 - 60*c**4 - 472*c**3 - 356*c**2 + 474*c + 416 = 0. Calculate c.
-16, -13, -1, 1
Factor -l**4/2 - l**3/2 + 9*l**2/2 - 11*l/2 + 2.
-(l - 1)**3*(l + 4)/2
Factor 4*x**3/3 + 302*x**2/3 - 102*x.
2*x*(x - 1)*(2*x + 153)/3
Factor 16*g**5 - 44*g**4 - 189*g**3 + 3159*g**2/4 - 729*g.
g*(g + 4)*(4*g - 9)**3/4
Factor -4*q**2 - 688*q - 29584.
-4