r -2*t**3 + 36*t**2 + 2*t - 36.
-2*(t - 18)*(t - 1)*(t + 1)
Factor -2*y**2/3 + 470*y/3 - 156.
-2*(y - 234)*(y - 1)/3
Factor n**5/4 + 41*n**4/4 + 273*n**3/2 + 539*n**2 - 686*n.
n*(n - 1)*(n + 14)**3/4
Let 48*a**4 - 284*a**3 + 228*a**2 - 40*a = 0. What is a?
0, 1/4, 2/3, 5
Suppose -9*i**3 + 114*i**2 + 164*i + 56 = 0. Calculate i.
-2/3, 14
What is v in 2*v**2 - 124*v + 240 = 0?
2, 60
Solve 20*b**4 - 3092*b**3 + 114100*b**2 + 420596*b + 149784 = 0.
-3, -2/5, 79
Factor m**3 + 2*m**2 - 13*m + 10.
(m - 2)*(m - 1)*(m + 5)
Solve -j**2/5 + 31*j/5 - 238/5 = 0 for j.
14, 17
Suppose 2*w**3/9 + 10*w**2/9 - 28*w/9 = 0. Calculate w.
-7, 0, 2
Factor -4*x**3 + 92*x**2 - 444*x - 540.
-4*(x - 15)*(x - 9)*(x + 1)
Determine a so that -20*a**3/3 + 172*a**2 + 40*a - 416/3 = 0.
-1, 4/5, 26
Factor 2*t**3/15 - 16*t**2/15 + 34*t/15 - 4/3.
2*(t - 5)*(t - 2)*(t - 1)/15
Factor -8*q**2 - 26*q - 6.
-2*(q + 3)*(4*q + 1)
Let j**3 - 7*j**2 + 10*j = 0. What is j?
0, 2, 5
Solve -2178*i**4/17 - 23694*i**3/17 - 18884*i**2/17 + 2552*i/17 - 80/17 = 0.
-10, -1, 2/33
Factor 5*x**3 - 120*x**2 - 560*x.
5*x*(x - 28)*(x + 4)
Factor -6*i**2/5 + 3732*i/5 - 3726/5.
-6*(i - 621)*(i - 1)/5
Find x such that x**2/2 + 11*x/2 = 0.
-11, 0
Suppose 4*v**3 - 4*v**2 - 40*v - 32 = 0. What is v?
-2, -1, 4
Factor 10*o**2/17 + 114*o/17 - 72/17.
2*(o + 12)*(5*o - 3)/17
Solve -16*a**2 + 8444*a + 2112 = 0 for a.
-1/4, 528
Factor -3*p**3 + 12*p**2 + 111*p - 120.
-3*(p - 8)*(p - 1)*(p + 5)
What is m in -m**2/6 - 47*m/3 - 2209/6 = 0?
-47
Let 25*p**4 - 1030*p**3 - 836*p**2 - 168*p = 0. Calculate p.
-2/5, 0, 42
Let 4*p**5/9 - 46*p**4/9 - 10*p**3/3 + 70*p**2/9 + 26*p/9 - 8/3 = 0. Calculate p.
-1, 1/2, 1, 12
Suppose 10*j**3/3 - 38*j**2/3 - 128*j/3 - 8 = 0. Calculate j.
-2, -1/5, 6
Factor -u**2 - 89*u - 258.
-(u + 3)*(u + 86)
Factor 4*x**4 - 28*x**2 + 24*x.
4*x*(x - 2)*(x - 1)*(x + 3)
Factor -2*r**3/3 - 14*r**2/3 - 20*r/3.
-2*r*(r + 2)*(r + 5)/3
Factor 45*a**3 + 235*a**2 + 320*a + 60.
5*(a + 2)*(a + 3)*(9*a + 2)
Factor -40*y**2 - 145*y + 185.
-5*(y - 1)*(8*y + 37)
Factor -245*p**2 - 420*p - 180.
-5*(7*p + 6)**2
Suppose -8*w**4 + 290*w**3 - 624*w**2 + 410*w - 68 = 0. What is w?
1/4, 1, 34
Factor -3*t**3/5 + 5*t**2 - 56*t/5 + 16/5.
-(t - 4)**2*(3*t - 1)/5
Factor a**5/6 + a**4/2 - 2*a**3 - 26*a**2/3 - 8*a.
a*(a - 4)*(a + 2)**2*(a + 3)/6
Factor -3*z**3/7 - 6*z**2/7 + 3*z/7 + 6/7.
-3*(z - 1)*(z + 1)*(z + 2)/7
Determine z, given that -z**2/8 - 1765*z/4 - 3115225/8 = 0.
-1765
Let -28*j**3/5 - 128*j**2/5 - 176*j/5 - 64/5 = 0. Calculate j.
-2, -4/7
Let -5*a**2/6 + 524*a + 629/6 = 0. Calculate a.
-1/5, 629
Let 4*h**5 - 12*h**4 - 8*h**3 + 48*h**2 - 32*h = 0. Calculate h.
-2, 0, 1, 2
Factor 4*b**4/3 - 17*b**3/3 - 44*b**2/3 + 4*b.
b*(b - 6)*(b + 2)*(4*b - 1)/3
What is y in -y**2/5 + 256*y/5 - 16384/5 = 0?
128
Factor 2*z**3/17 - 202*z**2/17 - 12*z.
2*z*(z - 102)*(z + 1)/17
Factor -5*y**3 - 100*y**2 - 185*y - 90.
-5*(y + 1)**2*(y + 18)
Factor 3*r**2 - 2037*r.
3*r*(r - 679)
Factor 3*n**4/5 - 3*n**3/5 - 12*n**2/5 + 12*n/5.
3*n*(n - 2)*(n - 1)*(n + 2)/5
Factor -5*f**3 + 145*f**2 + 5*f - 145.
-5*(f - 29)*(f - 1)*(f + 1)
Factor -2*u**3/9 + 16*u**2 - 922*u/9 + 260/3.
-2*(u - 65)*(u - 6)*(u - 1)/9
What is h in -h**2 - 6826*h - 11648569 = 0?
-3413
Find s such that 2*s**2 + 196*s + 4802 = 0.
-49
Let r**4/2 - 237*r**3/2 - 477*r**2/2 - 239*r/2 = 0. What is r?
-1, 0, 239
Let 4*a**4/5 - 8*a**3/5 - 44*a**2/5 + 48*a/5 = 0. What is a?
-3, 0, 1, 4
Factor -u**3/3 - 130*u**2/3 - 256*u/3.
-u*(u + 2)*(u + 128)/3
Factor -16*u**3 + 79*u**2 + 5*u.
-u*(u - 5)*(16*u + 1)
Factor -4*g**3 - 268*g**2 - 4044*g - 3780.
-4*(g + 1)*(g + 21)*(g + 45)
Factor -4*k**2 - 188*k.
-4*k*(k + 47)
What is q in 3*q**2 - 123*q + 444 = 0?
4, 37
Factor 3*k**2 + 33006*k + 90783003.
3*(k + 5501)**2
Factor -4*q**4/3 - 3*q**3 + 10*q**2 + 8*q/3.
-q*(q - 2)*(q + 4)*(4*q + 1)/3
Factor 4*n**3/3 - 12*n**2 + 104*n/3 - 32.
4*(n - 4)*(n - 3)*(n - 2)/3
Factor 2*h**2 - 8*h - 504.
2*(h - 18)*(h + 14)
Solve 20*a**5 - 72*a**4 - 52*a**3 + 72*a**2 + 32*a = 0.
-1, -2/5, 0, 1, 4
Find m such that -8*m**3 - 36*m**2 - 12*m + 16 = 0.
-4, -1, 1/2
Solve 2*r**2/9 - 80*r/9 + 152/9 = 0 for r.
2, 38
Factor 27*r**3/5 - 252*r**2/5 + 588*r/5.
3*r*(3*r - 14)**2/5
Solve -n**4 - 7*n**3 + 9*n**2 + 7*n - 8 = 0.
-8, -1, 1
Find t, given that 1058*t**4/7 - 1334*t**3/7 - 1822*t**2/7 + 534*t/7 - 36/7 = 0.
-1, 3/23, 2
What is y in -8*y**5/7 + 2*y**4/7 + 48*y**3/7 + 52*y**2/7 + 8*y/7 - 6/7 = 0?
-1, 1/4, 3
Let 2*d**5 + 4*d**4/5 - 84*d**3/5 - 176*d**2/5 - 134*d/5 - 36/5 = 0. Calculate d.
-1, 18/5
Factor 5*x**3 - 200*x**2 - 20*x + 800.
5*(x - 40)*(x - 2)*(x + 2)
Factor d**4 + 679*d**3 + 114920*d**2 - 115600*d.
d*(d - 1)*(d + 340)**2
Let -5*l**2 - 45*l + 50 = 0. What is l?
-10, 1
Find g such that 5*g**2 - 40*g + 75 = 0.
3, 5
Factor -y**3/4 + 9*y**2/2 + 336*y - 7448.
-(y - 28)**2*(y + 38)/4
Find b such that 315*b**4 - 1305*b**3 + 1780*b**2 - 940*b + 160 = 0.
1/3, 2/3, 8/7, 2
Solve -j**5/3 + 11*j**4/3 - 43*j**3/3 + 73*j**2/3 - 56*j/3 + 16/3 = 0 for j.
1, 4
Factor -5*j**2 + 265*j - 260.
-5*(j - 52)*(j - 1)
Factor 4*s**2 - 40*s.
4*s*(s - 10)
Factor -h**4/9 + 40*h**3/9 - 37*h**2/9 - 26*h/3.
-h*(h - 39)*(h - 2)*(h + 1)/9
Determine n, given that n**5 + 18*n**4/5 - 18*n**3/5 - 56*n**2/5 + 69*n/5 - 18/5 = 0.
-3, 2/5, 1
Factor 2*w**5/7 - 2*w**4 + 24*w**3/7.
2*w**3*(w - 4)*(w - 3)/7
Factor 3*k**4/2 - 12*k**3 + 39*k**2/2 - 9*k.
3*k*(k - 6)*(k - 1)**2/2
Factor -2*r**4 - 28*r**3 + 40*r**2 + 156*r + 90.
-2*(r - 3)*(r + 1)**2*(r + 15)
Factor 2*b**3/5 - 1684*b**2/5 - 3374*b/5 - 1688/5.
2*(b - 844)*(b + 1)**2/5
Factor -4*j**3/3 - 292*j**2/3 + 4*j/3 + 292/3.
-4*(j - 1)*(j + 1)*(j + 73)/3
Determine b so that -b**2/9 + 271*b/9 + 272/9 = 0.
-1, 272
Factor 5*c**3 + 85*c**2 + 80*c.
5*c*(c + 1)*(c + 16)
Determine p, given that 2*p**2 + 56*p + 54 = 0.
-27, -1
Suppose y**4/3 + 4*y**3/3 - 10*y**2/3 - 28*y/3 - 5 = 0. What is y?
-5, -1, 3
Factor -5*j**3 + 30*j**2 - 40*j.
-5*j*(j - 4)*(j - 2)
Factor 3*d**5 - 42*d**4 + 216*d**3 - 528*d**2 + 624*d - 288.
3*(d - 6)*(d - 2)**4
Determine j, given that 2*j**3/3 - 110*j**2/3 + 304*j/3 + 416/3 = 0.
-1, 4, 52
Factor -6*g**2 - 2774*g - 924.
-2*(g + 462)*(3*g + 1)
What is a in -a**3 - 28*a**2 + 59*a - 30 = 0?
-30, 1
Suppose 4*d**5 - 84*d**4 + 552*d**3 - 896*d**2 - 1536*d = 0. Calculate d.
-1, 0, 6, 8
Factor 408*i**4 + 410*i**3 + 2*i**2.
2*i**2*(i + 1)*(204*i + 1)
Find s such that -2*s**2/11 + 234*s/11 = 0.
0, 117
Determine c so that -10*c**2/13 - 816*c/13 + 328/13 = 0.
-82, 2/5
Find t such that -2*t**3 + 53*t**2/9 - 47*t/9 + 4/3 = 0.
4/9, 1, 3/2
Factor 4*y**2/7 + 8*y - 60/7.
4*(y - 1)*(y + 15)/7
Determine a so that -2*a**2/7 + 186*a/7 - 184/7 = 0.
1, 92
Let 9*t**4 + 201*t**3 + 933*t**2 - 2001*t + 858 = 0. Calculate t.
-13, -11, 2/3, 1
Determine u so that -2*u**5/15 + 4*u**4/15 + 14*u**3/15 + 8*u**2/15 = 0.
-1, 0, 4
Factor 2*p**5/17 + 492*p**4/17 - 494*p**3/17.
2*p**3*(p - 1)*(p + 247)/17
Factor -35*g**3 + 155*g**2 + 100*g.
-5*g*(g - 5)*(7*g + 4)
Factor 6*a**2/7 - 624*a/7 + 14058/7.
6*(a - 71)*(a - 33)/7
Solve -q**4 - q**3 + 18*q**2 + 52*q + 40 = 0.
-2, 5
Factor 5*j**4 + 37*j**3 + 14*j**2.
j**2*(j + 7)*(5*j + 2)
Factor -2*z**3 + 70*z**2 - 432*z.
-2*z*(z - 27)*(z - 8)
Determine l, given that -4*l**2 + 908*l - 3568 = 0.
4, 223
Factor 2*i**2/7 - 54*i/7 - 8.
2*(i - 28)*(i + 1)/7
What is r in -3*r**3/8 - 267*r**2/4 - 23763*r/8 = 0?
-89, 0
Suppose -3*h**5/4 - 53*h**4/4 - 319*h**3/4 - 787*h**2/4 - 379*h/2 - 60 = 0. What is h?
-8, -5, -3, -1, -2/3
Determine i so that -i**4/3 - i**3/3 + 4*i**2/3 + 4*i/3 = 0.
-2, -1, 0, 2
Solve 16*i**5 + 1096*i**4 + 22932*i**3 + 91238*i**2 - 1176490*i = 0.
-49/2, 0, 5
Find q such that -2*q**2 - 1148*q - 164738 = 0.
-287
Let -a**5/4 - a**4 - a**3/2 + a**2 + 3*a/4 = 0. What is a?
-3, -1, 0, 1
Suppose -2*z**2 + 4*z + 390 = 0. Calculate z.
-13, 15
Factor s**4 + 538*s**3 + 73429*s**2 + 287292*s + 285156.
(s + 2)**2*(s + 267)**2
Determine u, given that u**3 - 11*u**2 - 40*u - 28 = 0.
-2, -1, 14
Determine w, given that 5*w**2 + 2150*w + 231125 = 0.
-215
Factor b**2/4 + 263*b/2 + 525/4.
(b + 1)*(b + 525)/4
Let 4*i**4/3 + 116*i**3/3 + 308*i**2 - 484*i/3 - 21296/3 = 0. Calculate i.
-11, 4
Factor 5*y**4/2 - 7*y**3 - 24*y**2 + 63*y + 27/2.
(y - 3)**2*(y + 3)*(5*y + 1)/2
Suppose -2*t**2/3 - 34*t - 196/3 = 0